Which of the following is an exponential equation?
A.
3x + 2 = 23
B.
5 ‒ x2 = 4
C.
3x + 2 = 23
D.
7 ‒ 0.5x = 2x

Answers

Answer 1

Answer:

a. 3x = 23-2

3x = 21

x = 21÷3

x = 7

b. 5x - 2 = 4

5x = 4+2

5x = 6

x = 6÷5

x = 1.2

c. 3x = 23-2

3x = 21

x = 21÷3

x = 7

d. 7 = 2x+0.5x

7 = 2.5

x = 2.5÷7

x = 2.8

Answer 2
Equation were provided.
Which Of The Following Is An Exponential Equation? A. 3x + 2 = 23 B. 5 X2 = 4 C. 3x + 2 = 23 D. 7 0.5x

Related Questions

Solve the system of equations
x+y=15
Y=x^(2)-5

(-5,20) and (4,11)
(3,4) and (7,8)
(5,10) and (-4,19)
(5,20) and (4,11)

Answers

Answer:

  (a)  (-5,20) and (4,11)

Step-by-step explanation:

You want the solutions to the system of equations ...

x + y = 15y = x² - 5

Substitution

Using the second equation to substitute for y in the firs equation, we have ...

  x +x² -5 = 15

  x² +x -20 = 0 . . . . . subtract 15, put in standard form

  (x +5)(x -4) = 0 . . . . . factor

Zero product rule

A product is zero only when one or more factors is zero. The values of x that make the factors zero are ...

  x = -5  and  x = 4

The corresponding values of y are ...

  y = 15 -x

  y = 15 -{-5, 4} = {20, 11}

The solutions are (x, y) = (-5, 20) and (4, 11).

please help me

What degree of rotation about the origin will cause the triangle below to map
onto itself?

Answers

360 because it is going to be in the same spot

A printer is printing photos. For every 6 photos, the printer takes 3 minutes.
Complete the table below showing the number of photos and the time it takes to print them.

Answers

We can start by finding the rate at which the printer is printing photos. Since it takes 3 minutes to print 6 photos, we can calculate the rate as 6 photos / 3 minutes = 2 photos/minute. This means that for every minute that passes, the printer prints 2 photos.

Now that we know the rate, we can use it to find out how long it will take to print 16 photos. Since the rate is 2 photos/minute, we can set up an equation to solve for y (time) when x (photos) is 16: 2 = 16/y. Solving for y, we get y = 16/2 = 8.

Therefore, when x (photos) is 16, y (time) is 8 minutes. This means that it will take the printer 8 minutes to print 16 photos.

If y (time) is 5 minutes, we can use the rate we calculated earlier to find out how many photos the printer will print in that time. Since the rate is 2 photos/minute, we can multiply it by the time to find out how many photos will be printed: 2 photos/minute * 5 minutes = 10 photos.

Therefore, if y (time) is 5 minutes, the printer will print 10 photos.

If y (time) is 7 minutes, we can use the rate we calculated earlier to find out how many photos the printer will print in that time. Since the rate is 2 photos/minute, we can multiply it by the time to find out how many photos will be printed: 2 photos/minute * 7 minutes = 14 photos.

Therefore, if y (time) is 7 minutes, the printer will print 14 photos.

Draw and describe the plane section that results from the following cut: a cylinder cut parallel to the base.

Answers

When a cylinder is cut parallel to its base, the plane section that results is a circle. This circle will have the same radius as the cylinder's base. The center of the circle will be located at the center of the cylinder's base. This type of cut will create a circular cross-section that is parallel to the base of the cylinder.

In how many distinct ways can the digits in the number 2,563,183,083 be arranged?
(If there are any zero digits then assume they can be placed in any position)

Answers

There are 10 digits in the number 2,563,183,083. If we ignore the fact that there are three occurrences of the digit 3 and two occurrences of the digit 8, then there would be 10! = 3,628,800 distinct ways to arrange the digits.

However, we need to account for the fact that three of the digits are 3s and two of the digits are 8s. To do this, we need to divide out the number of arrangements of those duplicates.

There are 3! = 6 ways to arrange the three 3s among themselves, and 2! = 2 ways to arrange the two 8s among themselves. So, we divide the total number of arrangements by these permutations of the duplicates:

10! / (3! * 2!) = 10 x 9 x 8 x 7 x 6 x 5 x 4 = 604,800

Therefore, there are 604,800 distinct ways to arrange the digits in the number 2,563,183,083, assuming that any zero digits can be placed in any position.

An animal shelter has 96 animals if 5/8 of the animals are dogs and 1/4 of the animals are cats how many animals are neither dogs nor cats?

Answers

There are 12 animals that are neither dogs nor cats.

How many animals are neither dogs nor cats?

If 5/8 of the animals are dogs, then the remaining 3/8 of the animals are not dogs.

3/8 x 96 = 36

if 1/4 of the animals are cats, then the remaining 3/4 of the animals are not cats.

3/4 x 96 = 72

The number of animals that are neither dogs nor cats is calculated as;

96 - 36 - 72 = 12

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What is the area of this figure?
8 m
6 m
5 m
2 m
13 m
8 m

Answers

Answer:

It's not clear what figure is being referred to. The provided numbers could be dimensions of a shape, but without additional information or context, it's impossible to determine the area of the figure. Can you please provide more details or a diagram?

Step-by-step explanation:

With Bonds, banks pay you back with
O free banking
O a fixed amount
O interest
O stocks

Answers

The answer is c INTEREST

I NEED HELP ASAP I have to tern this packet in tomorrow and i do not know how to solve scales in geometry

Answers

Answer:

The anser is letter C)

Step-by-step explanation:

because it multiplies x3

0,5×3=1,5

1,5×10=15

10×3=30

Answer:

1cm=30m

what is the volume of this triangular prism?

Answers

The volume of the triangular prism is 36 in³.

What is a triangular prism?

A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides.

To calculate the volume of the triangular prism, we use the formula below

Formula:

V = bhH/2.................... Equation 1

Where:

b = Base of the triangleh = Height of the triangleH = Height of the prism

From the question,

Given:

b = 3 inh = 4 inH = 6 in

Substitute these values into equation 1

V = 3×4×6/2V = 36 in³

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Write null and alternative hypothesis, test statics, p-value, and inference.

For Climate Change Beliefs, use variables: climate change and certainty.
For Class time use, use variables: income class, and sleeping.

Answers

The value of null and alternative hypothesis are change beliefs and certainty test statics, p-value, and inference are the null hypothesis and conclude that there is insufficient evidence to suggest a significant relationship.

Climate Change Beliefs:

Null Hypothesis (H0): There is no significant relationship between climate change beliefs and certainty.

Alternative Hypothesis (Ha): There is a significant relationship between climate change beliefs and certainty.

Test Statistic: Pearson's correlation coefficient (r)

The Pearson correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, we will use it to determine the relationship between climate change beliefs and certainty.

P-Value: The p-value is the probability of obtaining a test statistic as extreme as the observed value, assuming that the null hypothesis is true.

Inference: If the p-value is less than the significance level (usually 0.05), we reject the null hypothesis and conclude that there is a significant relationship between climate change beliefs and certainty. If the p-value is greater than the significance level, we fail to reject the null hypothesis and conclude that there is insufficient evidence to suggest a significant relationship.

Class Time Use:

Null Hypothesis (H0): There is no significant relationship between class time use, income class, and sleeping.

Alternative Hypothesis (Ha): There is a significant relationship between class time use, income class, and sleeping.

Test Statistic: Multiple regression analysis

Multiple regression analysis is used to determine the relationship between a dependent variable and two or more independent variables. In this case, class time use, income class, and sleeping will be the independent variables, and we will use it to determine the relationship with the dependent variable.

P-Value: The p-value is the probability of obtaining a test statistic as extreme as the observed value, assuming that the null hypothesis is true.

Inference: If the p-value is less than the significance level (usually 0.05), we reject the null hypothesis and conclude that there is a significant relationship between class time use, income class, and sleeping.

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A bag contains 19 blue, 28 purple, 21
red, and 29 orange balls. You pick
one ball at random. Find the
probability that it is not blue.
P(not blue) =
Simplify your answer completely.

Answers

Answer:

78/97

Step-by-step explanation:

First, add up all the balls to find the total amount of balls in the bag (19+28+21+29). Then determine how many balls are not blue (you could either take the total and subtract 19 or add up all the colors that are not blue). There are 97 balls total and 78 of them are not blue which is shown as 78/97. 78/97 cannot simplify further.

how do you do comparison for percents

Answers

In order to do a comparison for percents, you must convert them to decimal form and then juxtapose the decimal values side by side to see which is greater or less.

What are percents?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The percent sign is commonly used, however the acronyms pct., pct, and sometimes pc are also used. A % is a number with no dimensions; it has no unit of measurement.

To calculate the percentage, divide the amount by the total value and multiply the result by 100.

Divide a percentage by 100 to get a decimal. So 25% is equal to 25/100, or 0.25. Multiply a decimal by 100 (simply shift the decimal point two places to the right) to convert it to a percentage. For example, 0.065 equals 6.5% and 3.75 equals 375%.

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Of the 22 students in a classroom, 10 are transfer students, 7 are nursing students, 4 are AAS students and 1 student is undecided. If 5 students are chosen randomly, with replacement, find the probability that at least one student is a transfer student.

Answers

To solve this problem, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring. In this case, we want to find the probability that at least one student is a transfer student, so we can find the probability that no students are transfer students and subtract that from 1.

The probability that a randomly chosen student is not a transfer student is 12/22, since there are 12 students who are not transfer students out of a total of 22 students. Therefore, the probability that none of the 5 students chosen are transfer students is:

(12/22)^5 = 0.068

To find the probability that at least one student is a transfer student, we can subtract this from 1:

1 - 0.068 = 0.932

Therefore, the probability that at least one student is a transfer student is 0.932.

Help me please How would you informally prove that you are taking courses online?
A) You could show a registrar’s receipt with the current date.
B) You could show your course notes with the current date.
C) You could repeat all the material you learned.
D) You could ask for an enrollment verification notice from the school.

Answers

Answer: b is correct

Step-by-step explanation:

given that ab is the diameter of a circle o find the missing angle and arc measures show your work look at the photo of the circle

Answers

The given angles are:

M arc CB=64°,M<AOC= 116° ,M arc AD=26°,M arc DFB=154°,M<CDB=32°.

How to solve this

First, we use the property that the measure of a central angle is equal to the measure of the intercepted arc.

Given that <COB = 64°, we know that the measure of arc CB is also 64°.

Next, we use the fact that the measure of an angle made on the circumference is half the measure of the angle made at the center.

We know that the measure of intercepted arc AD is 26°, and since the angle made at the center, <ABD, is 13°, we can calculate that the measure of arc AD is 2 x 13° = 26°.

Using the fact that a semicircle has a measure of 180°, we know that the measure of arc DFB is 180° - 26° = 154°.

Finally, we can use the angle CDB to find the missing angle.

We know that <CDB is an angle made on the circumference and that the measure of arc CB is 64°.

Thus, we can calculate that <CDB = 64°/2 = 32°.

Therefore, the missing angle is 32°.

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The terminal point of 0 is (0,1). What is tan 0?

Answers

We know that the terminal point of 0 is (0,1). We cant divide anything by 0, so it would be undefined.
It would be classified as undefined.

Select all that is TRUE
Question 11 options:

Adding a constant to all the data points does NOT change the correlation

Interchanging X and Y changes the correlation

Correlation has no units

Outliers do NOT effect the correlation

If r is close to 1 then it is a strong positive correlation

Correlation could be positive or negative

Correlation and y-intercept have the same sign

Answers

The True statements about the correlation are: (1), (2), (3), (5), (6) and (7)

1) We know that the adding, subtracting, multiplying or dividing a constant to all of the data points in one or both variables does not change the correlation coefficient.

So, the first statement is True.

2) We know that the correlation measures the strength of the pattern around a line of regression as well as the direction of the line. So, interchanging the variables would not change the correlation. The correlation between x and y is the same as the correlation between y and x.

Thus the second statement is True.

3) We know that the correlation coefficient does not have any units.

It is just a number between -1 to +1.

Thus the third statement is True.

4) We know that the outlier may weaken the correlation. It makes the data more scattered. So the correlation coefficient r gets closer to 0.

Thus the fourth statement is False.

5) We know that if the correlation coefficient r is close to 1 then it is a strong positive correlation and if r is close to -1 then it is a strong negative correlation.

Thus the fifth statement is True.

6) We know that the corrletaion coefficient values can range from -1 to 1.

Thus the sixth statement is True.

7) We know that the y-intercept is nothing but the point at which the regression line intercepts the y-axis. The y-intercept of the regression line and the correlation coefficient have the same sign.

Thus the seventh statement is True.

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A local store was offering a discount of 25% on original parice on older model laptops. Gina bought an older model laptop for $963 that includes a 7% tax on the discounted price

Answers

Answer:

Step-by-step explanation:To solve this problem, we need to work backwards from the final price that Gina paid and determine the discounted price before tax was added.

Let x be the original price of the laptop. After a 25% discount, the discounted price is:

Discounted price = x - 0.25x = 0.75x

Next, we add 7% tax to the discounted price:

Final price = (0.75x) + 0.07(0.75x) = 0.8025x

We know that the final price that Gina paid was $963, so we can set up an equation:

0.8025x = 963

Solving for x, we get:

x = 1200

Therefore, the original price of the laptop was $1200, and the discounted price before tax was:

Discounted price = 0.75x = 0.75(1200) = $900

To check, we can add the 7% tax to the discounted price:

Final price = $900 + 0.07($900) = $963

This matches the price that Gina paid, so we can be confident in our answer.

Select all that apply. By making the financially irresponsible decision of maxing out your credit card limit, you might...

A) not have money for an emergency situation.
B) get a very low interest rate when you want to buy a house.
C) not be able to buy the things you need.
D) have enough saved up for retirement.

Answers

By making the financially irresponsible decision of maxing out your credit card limit, you might not have money for an emergency situation.

As, There is no foolproof technique to determine how much you can spend in excess of your credit limit, but you can go over it.

When determining the risk of accepting an over-the-limit transaction, card issuers may take into account a number of criteria, including your prior payment history.

Now, maxing out credit card leads to negative results.

So, either not have money for an emergency situation or not be able to buy the things you need.

But we can still spend after maxing out the limit.

Thus, not have money for an emergency situation is correct option.

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Given (x – 7)2 = 36, select the values of x.
x = 13
x = 1
x = –29
x = 42

Answers

Answer: X = 25

Step-by-step explanation: Since 36 divided by 2 equals 18, which would cancel out the two on the left side leaving us with. (x - 7) = 18 we can add 7 to both sides to get. X = 25


Edit: To whoever said my math is incorrect is wrong, I even double checked with multiple sources and people. It must’ve been a different equation or number. Sorry for not being able to help, however the math was correct.

What is the length of the side labeled x cm?

10.8
13.7
9.9
20.8

Answers

Answer:

B

Step-by-step explanation:

the answer is B because I know it

A culture started with 3,000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after 10 hours.
Round your answer to the nearest whole number.
P = Aekt

Answers

Answer:

Step-by-step explanation:

To predict the number of bacteria after 10 hours using the formula P = Aekt, where P is the final population, A is the initial population, k is the growth rate, and t is the time elapsed, we need to first find the value of k.

dw

We know that after 4 hours, the population grew from 3,000 bacteria to 3,600 bacteria. So we can set up an equation:

3,600 = 3,000e^(4k)

Dividing both sides by 3,000 gives:

1.2 = e^(4k)

Taking the natural logarithm of both sides gives:

ln(1.2) = 4k

Solving for k, we get:

k = ln(1.2)/4

k ≈ 0.051

Now that we have the value of k, we can use the formula to predict the number of bacteria after 10 hours:

P = 3,000e^(0.051*10)

P ≈ 5,426

Therefore, we predict that after 10 hours, there will be approximately 5,426 bacteria present in the culture.

Write the following Babylonian numeral as a Hindu-Arabic numeral.

<|| <<||||

Answers

Answer:

The Babylonian numeral <|| <<|||| represents the number 51 in the Babylonian numeral system.

To convert it to the Hindu-Arabic numeral system, we first need to determine the place values of the symbols. The symbol <|| represents 50 and <<|||| represents 1.

So, we can write the number as:

50 + 1 = 51

Therefore, the Hindu-Arabic numeral equivalent of the Babylonian numeral <|| <<|||| is 51.

I need help pleaseee

Answers

The matrix row operation on the matrix A gives us: 0x + 10y - 25z = 4

How to solve matrix row operations?

There are 3 primary basic operations that are utilized on the rows of a matrix when we utilize the matrix to solve a particular system of linear equations . The aim is usually to get the left region of the matrix to resemble the identity matrix .

The three primary operations are:

Switching Rows

Multiplying a Row by a Number

Adding Rows

Now, from the given matrix, the equations are:

x - y + 5z = -1

x - y - 4z = 5

5x + y + 0z = -1

We are told to add -5 times row 1 to row 3 and this gives:

-5x + 5x + 5y + 5y - 25z + 0z = 5 - 1

0x + 10y - 25z = 4

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cos(0) = 2 ar
sin(8) = ?
- 2
**
2
√√2
2
√√2
DONE
,and
3
<
< 0 < 21, evaluate sin(0) and tan(0)
tan(8)=L
DONE

Answers

Using trigonometric identities when  cosθ = √2/2 and 3π/2 < θ < 2π

sinθ = -√2/2 tanθ = - 1

What are trigonometric identities?

Trigonometric identities are mathematical equations that contain tigonometric ratios

Since cosθ = √2/2 and 3π/2 < θ < 2π, we desire to find sinθ and tanθ. We proceed as follows

a. To find sinθ, using the trigonometric identity

sin²θ = 1 - cos²θ

⇒ sinθ = ±√(1 - cos²θ)

So, substituting the value of cosθ into the equation, we have that

sinθ = ±√(1 - cos²θ)

sinθ = ±√(1 - (√2/2)²)

= ±√(1 - 2/4)

= ±√[(4 - 2)/4]

= ±√[2/4]

= ±√2/2

Since 3π/2 < θ < 2π, which is the fourth quadrant, we take the negative answer.

So, sinθ = -√2/2

b. To find tannθ, using the trigonometric identity

tan²θ = sec²θ - 1

⇒ tanθ = ±√(sec²θ - 1)

= ±√(1/cos²θ - 1)

So, substituting the value of cosθ into the equation, we have that

tanθ = ±√(1/cos²θ - 1)

tannθ = ±√(1/(√2/2)² - 1)

= ±√(1/2/4 - 1)

= ±√(4/2 - 1)

= ±√[2 - 1]

= ±√1

Since 3π/2 < θ < 2π, which is the fourth quadrant, we take the negative answer.

So, tanθ = -1

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Just by looking at the equation x+6+2x=2x+6+4x+6+2x=2x+6+4​ , find the value of x .

Answers

Step-by-step explanation:

How do you have two equal to signs omg?

Anyway,

x+6+2x=2x+6+4x+6+2x=2x+6+4

3x+6=8x+12=2x+10

0=5x+6=2x+10

0=3x-4=0

3x-4=0

3x=4

x = 4/3 = 1 ⅓

find the statement that is incorrect. Then, correct and rewrite the statement in the space provided. Show any necessary work.

Answers

The incorrect statement is b. When an aeroplane takes off, the work done by its weight is negative.

The inaccurate assertion is:

b) When a plane removes, the work done by its weight is positive.

The right assertion is:

b) When a plane removes, the work done by its weight is negative.

Clarification:

At the point when a plane removes, the work done by the heaviness of the plane is negative in light of the fact that the weight acts the other way to the dislodging of the plane. As indicated by the work-energy hypothesis, work done by the heaviness of the plane will diminish its motor energy, and that implies that the work done is negative. Hence, articulation (b) is inaccurate.

a) Work and energy have various units.

This assertion is right. Work has units of Joules (J) and energy additionally has units of Joules (J), however they are not exactly the same thing.

c) The possible energy of spring increments when it is broadened and diminishes when it is packed.

This assertion is right. The potential energy put away in a spring is straightforwardly corresponding to its expansion or pressure. While a spring is broadened, its potential energy increments, and when it is packed, its potential energy diminishes.

d) On the off chance that the work done by outside powers on a framework is negative, the energy of the framework diminishes.

This assertion is right. On the off chance that the work done by outside powers on a framework is negative, the energy of the framework diminishes.

The work-energy hypothesis expresses that the net work done on a framework is equivalent to the adjustment of its motor energy, and in the event that the net work is negative, the dynamic energy diminishes, and that implies that the energy of the framework diminishes.

e) When a body is falling unreservedly from a level, its dynamic energy stays consistent.

This assertion is erroneous. At the point when a body is falling unreservedly from a level, its potential energy is changed over into dynamic energy as it falls. Hence, its motor energy increments as it falls, and its potential energy diminishes.

f) The unit of force is watt.

This assertion is right. The unit of force is watt (W), which is characterized as the pace of taking care of business or the pace of move of energy.

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The complete question is:

Identify the wrong statement among the following. Rewrite them by making necessary corrections.

a) Work and energy have different units.

b) When an aeroplane takes off, the work done by its weight is positive.

c) The potential energy of spring increases when it is extended and decreases when it is compressed.

d) If the work done by external forces on a system is negative then the energy of the system decreases.

e) When a body is falling freely from a height, its kinetic energy remains constant.

f) The unit of power is watt.

use compass and ruler to contruct bisector of the angle

Answers

Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.

Here, we have,

The next steps show you how to construct the bisector of the angle from a ruler and a compass.

Draw an arc using the vertex of the angle (O) as the center;

Mark the points A and B;

Draw an arc using the point (A) as the center;

Draw an arc, with the same radius, using the point (B) as the center. This arc should intersect the arc that you draw in the previous step.

Draw a line connecting the point C to the vertex O.

Finally, you have the bisector of the angle that is represented by the green line.

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Find each angle measure.

Answers

Answer:

The answer for <M is 28°

Step-by-step Explanation:

<P=180-48

<P=132°

base angles in an isosceles are equal

<M+<N+<P=180

3y+1+2y+2+132=180

3y+2y+3+132=180

5y+135=180

5y=180-135

5y=45

divide both sides by 5

5y/5=45/5

y=9

<M=3(9)+1=27+1=28°

Other Questions
define complements. define substitutions. explain the diffierence and how they work Which of the following is the period from conception until birth?- Cleavage- Postnatal development- Prenatal development- Preconception developmentWill Give Brainliest!! Calculate the angular momentum of a 265 kg motorcycle traveling at 25 m/s. Traveling around a circular curve 500 m in radius select the part whose main job is to give strength and stiffness to a plant cell. Question 5.75 errors in filling prescriptions. a large number of preventable errors (e.g., overdoses, botched operations, misdiagnoses) are being made by doctors and nurses in us hospitals. a study of a major metropolitan hospital revealed that of every 100 medications prescribed or dispensed, 1 was in error, but only 1 in 500 resulted in an error that caused significant problems for the patient. it is known that the hospital prescribes and dispenses 60,000 medications per year. a. what is the expected proportion of errors per year at this hospital? the expected proportion of significant errors per year? b. within what limits would you expect the proportion significant errors per year to fall? (hint: calculate a 2- interval. round to 5 decimal places.) A bottel of orange juice contains 750 mg of vitamin C and has 6 servings. A bottek of cranbery juice contains 134 mg of vitamin C and has 1. 5 servings. Mrs khan wants to compare the amount of vitamin c in the juices. How many milligrams of vitamin c are in 1 serving of each type of juice complete the statment. One serving of________ juice has __________Mg More vitamin C per serving Than one serving of _________ Juice Gram stain indicates which characteristic? *o energy sourceo method of motilityo composition of cell wallo form of genetic material An oil tanker and a cruise ship leave port at the same time and travel straight-line at 32 mph and 46 mph, respectively. Two hours later, they are 63 miles apart. What is the angle between their courses? find 15x2 2/3 using the distributive property Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2 Why are the languages of the Pacific and languages of Africa declining terribly? A man is pulling a 20 kg cart up a hill that is 5 m high if he used 50 N force how far did he pull the cart for 7: If the actual length of a chloroplast is 10 um what is the magnification?Can u solve 6 and 7 electronic products has 22,500 bonds outstanding that are currently quoted at 101.6. the bonds mature in 8 years and pay an annual coupon payment of $90. what is the firm's aftertax cost of debt if the applicable tax rate is 21 percent? group of answer choices 4.79% 5.47% 6.89% 6.67% 5.75% Thomas Pogge proposes a "global resource dividend" as one aspect ofa. A global scheme for wealthy nations to use cheap labor from developing countries. b. A global scheme for affluent nations and citizens of affluent nations to compensare the poonc. A global scheme for affluent nations to buy commodities from the poord. A global pyramid scheme for affluent nations to further exploit the poon Question 1 of 10What is the constitutional basis for the implied powers of the federalgovernment?OA. They were assumed by the writers of the Constitution to benecessary for the government to function.B. They are spelled out in the Bill of Rights.C. They are allowed by the necessary and proper clause of theConstitution.D. They are directly listed in the Constitution. Calculate the alpha of an investment that returned 10% if the market return is 10%, the risk free rate is 2%, and the investments beta is 1. 1?. Explain why mice in urban areas can digest certain food better than rats in rural areas. Using the terms"genes" and "allele frequency" in your explanation provide data of this phenomenon. HELP!!What will most likely happen in the absence of a vacuole? Photosynthesis will not take place. Genetic information will not be transmitted by the cell. Energy will not be released during cellular respiration. The cell will not store food, water, nutrients, and waste. Consider the function f(x,y,z) = 1 + 2xyz, the point P(-1,-1,-1), and the unit vector u = (1/3, -1/3, -1/3)a. Compute the gradient off and evaluate it at P. b. Find the unit vector in the direction of maximum increase off at P.