{
5x−y=19
13x−3y=51

Can anybody help me to understand this equation ASAP

Answers

Answer 1

Answer:

×=-3

y=-4

Step-by-step explanation:

13×-3y=51

(-) 5×-y=19

-5×+y=-19

13×-3y=51

8×-2y=32

2/8x-2y=32

4x-y=16

4×-y=16

-5×+y=-19

-×=-3

×=3

Answer 2

Answer:

x = 3
y = -4
(3,-4)

Step-by-step explanation:

Hello!

We can use the Elimination Method to solve the system.

To eliminate, we want atleast one variable to have the same coefficients on both equations. To do that, we can multiply the first equation by 3 to get -3y.

[tex]5x - y = 19[/tex][tex]3(5x - y = 19)[/tex][tex]15x - 3y = 57[/tex]

Now, we can vertically subtract them to eliminate -3y.

[tex]-\left \{ {{15x - 3y = 57} \atop {13x - 3y = 51}} \right.[/tex][tex]2x + 0 = 6[/tex]

Solve for x

[tex]2x + 0 = 6[/tex][tex]2x = 6[/tex][tex]x = 3[/tex]

The value of x is 3.

To solve for y, we can plug in 3 into the original first equation and solve for y.

Solve for y

[tex]5x - y = 19[/tex][tex]5(3) - y = 19[/tex][tex]15 - y = 19[/tex][tex]-y = 4[/tex][tex]y = -4[/tex]

The value of y is -4.

The solution to the system is (3,-4).


Related Questions

Write the number in standard notation: 5.32 x 106?

Answers

Answer:

5.32⋅10−6

Step-by-step explanation:

Answer:

5320000

Step-by-step explanation:

standard notation form : 5320000

Find two integers whose sum is 2 and product is -3

Answers

George Washington was an American political leader, Help! My wife is angry at me because I gave her a yearly gym membership, weight loss pills and foot oder cream and even anti balding cream. I even told her I can pay for ANY plastic surgery. She’s so rude and ungrateful for denying my amazing gifts. Also we got into a fight and i accidentally snapped her legs and arms backwards and so now she looks like a fat smelly horse hybrid general, statesman, and Founding Father who served as the first president of the united states

Answer: -1+3=2 and -1×3=-3

Step-by-step explanation:

This is the best answer I could give. I hope this helps!! :)

Mike wants to make meatloaf. His recipe
uses a total of 7 pounds of meat. If he uses a 3 to one ratio of beef to pork,how Mach pork will he use?

Answers

Answer:

Mark will use 1.25 pounds of pork.

Step-by-step explanation:

Let b represent the number of pounds of pork and p represent the number of pounds of beef. Since the ratio of beef to pork is 3 to 1, we have b/p = 3/1, which then becomes b = 3p. From this:

[tex]3p + p = 7[/tex]

[tex]4p = 7[/tex]

[tex]p = 1.75[/tex]

[tex]b = 3 \times 1.75 = 5.25[/tex]

I need help with this please. Brainliest to person who answers first. Its worth 12 points.

Question is in attachment.

Answers

Answer:

54x + 36

Step-by-step explanation:

Simplify:

First open the brackets by multiplying  each term by 7.

 5x - 6 + 7(7x + 6) = 5x - 6 + 7*7x + 7*6

                              = 5x - 6 + 49x + 42

                              = 5x + 49x - 6 + 42

Combine like terms. Like terms have same variable with same power. Here 5x and 49x are like terms & (-6) and 42 are like terms (Constants)

                              =  54x + 36

Answer:

54x +36

Step-by-step explanation:

5x - 6 + 7(7x+6)       multiply                

5x -6 +49x+42         add like terms

54x + 36                   that's the answer

PLS HELP I DONT KNOWWW!!

Answers

Answer:

3rd option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line

m = [tex]\frac{-1-(-2)}{4-0}[/tex] = [tex]\frac{-1+2}{4}[/tex] = [tex]\frac{1}{4}[/tex]

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = [tex]\frac{1}{4}[/tex] x - 2 ← equation of line

This can be solved using the gradient-intercept formula:

y = mx + c

where,
m is the gradient, and
c is the y-intercept (where the line crosses the y-axis)

Gradient can be calculated using the following formula, or rise/run:

m = (y2 - y1)/(x2 - x1)
= (-1 - - 2)/(4 - 0)
= 1/4

Therefore, using the gradient-intercept form:
y = mx + c
y = (1/4)x + (-2) (-2 is the point where the line crosses the y-axis)

Therefore, y = (1/4)x - 2 or Option C is the answer

I need help with dis math problem (img included)

Answers

Answer:

4500 sec

Step-by-step explanation:

1hr 15min= 75 min

75 x 60=4500

Find the length of side BC.
Give your answer to 3 significant figures

Answers

Answer:

[tex]\huge\boxed{\sf BC = 19.4 \ cm}[/tex]

Step-by-step explanation:

Given:

θ = 71°

Adjacent = AB = 6.3 cm

Required:

Hypotenuse = BC = ?

We will use the trigonometric ratio of cos.

[tex]\displaystyle cos \theta = \frac{Adjacent}{Hypotenuse} \\\\cos \ 71 = \frac{6.3}{BC} \\\\0.33 = \frac{6.3}{BC} \\\\BC =\frac{6.3}{0.33} \\\\\boxed{BC = 19.4 \ cm}\\\\\rule[225]{225}{2}[/tex]

The following data is a randomly selected sample of 20 state populations. find the measures of central tendency. you may use technology to find the measures.

Answers

The mean is  6394530.35 and the median is = 3355572.5

The missing data is attached in the answer.

What is Mean ?

Mean is the average value of the data points , it is determined by dividing the total sum of the data points to the number of data points.

Mean and Median is the measure of the central; tendency of the data.

Mean is given by

Sum of the observations/number of observations

= (741894 + 6931071....)/20

= 6394530.35

2) To find median

The data needs to be arranged in ascending order

Then the median is the middle number of the arranged data

Here the median is = 3355572.5

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i need the missing blank....

Answers

X^3
We want to cube root it to find what number is multiplied three times to get it

For example
64

4 * 4 * 4
= 64

X^3
If we put the number 2 where the x is

2^3
That is
8

The cubed root of 8 is 2
And 2 was where x was

X^3
Is just x
As x * x * x = x^3

A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

This assumes that the question was meant to read:

"A triangle has side lengths of (7x−4) centimeters, (x+3) centimeters, and (3x+2) centimeters."  And not "A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters."

If the revision is correct, the perimeter is 11x + 1 cm

=============================================

If the question was correctly written, then answer is:

50x^2 - 50x + 9y^2  + 12 y  + 29

===============

Step-by-step explanation:

  (7x-4) cm

+ (x+3)  cm

+ (3x+2) cm

11x + 1 cm

If the question was correctly written as is, then:

(7x-4)(7x−4) = 49x^2 - 56x + 16

+(x+3)(x+3)    =     + x^2   + 6x   + 9

+(3y+2)(3y+2) = +9y^2  + 12 y  + 4

                         50x^2 - 50x + 9y^2  + 12 y  + 29 cm

                       

The perimeter of triangle 8x+ 3y + 1.

What is Perimeter of Triangle?

The complete length of a triangle's boundary is referred to as its perimeter. A triangle is a polygon with three sides, and there are various varieties of triangles depending on how big the sides and angles are.

The basic formula used to calculate the perimeter of a triangle is:

Perimeter = sum of the three sides

Given:

sides of triangle  (7x-4) centimeters, (x+3) centimeters, and (3y+2).

Now, perimeter of triangle

= 7x-4 + x+ 3 + 3y+ 2

=8x + 3y + 5-4

=8x+ 3y + 1

Hence, the perimeter of triangle 8x+ 3y + 1.

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Moscow: -5.5°C Cold Lake: -17.5°C Choose the correct inequality symbol to complete the inequality statement, -5.5°C ________ -17.5°C.

Answers

Answer:

-5.5°C > -17.5°C

Step-by-step explanation:

Since -5.5 is larger than -17.5

The correct inequality symbol to complete the inequality statement is ">" (greater than). [tex]-5.5^{\circ}C > -17.5^{\circ}C[/tex].

To understand why this symbol is used, let's compare the two temperatures.

The temperature in Moscow is -5.5C, while the temperature in Cold Lake is [tex]-17.5^{\circ}C[/tex].

Since -5.5 is greater (warmer) than -17.5,  use the ">" symbol to indicate that [tex]-5.5^{\circ}C[/tex] is greater than [tex]-17.5^{\circ}C[/tex].

Here's a step-by-step explanation:

Begin by comparing the numerical values of the temperatures: -5.5 and -17.5.Since -5.5 is a higher value (closer to 0) compared to -17.5, it means that Moscow's temperature is warmer than Cold Lake's temperature.The ">" symbol is used to represent "greater than" in an inequality statement.By using the ">" symbol, we express that [tex]-5.5^{\circ}C[/tex] is greater (warmer) than [tex]-17.5^{\circ}C[/tex].

In summary, when comparing the temperatures of Moscow and Cold Lake, the correct inequality statement is [tex]-5.5^{\circ}C > -17.5^{\circ}C[/tex], indicating that Moscow's temperature is higher (warmer) than Cold Lake's temperature.

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Question 13 * A farmer can plant 45 kg of peanuts on 4,000 square metres of land. Which of the following represents the number of peanuts (x) he could plant on 8,500 square metres of land? C. 45 4000 8500 45 8500 1 4000 45 1 8500 4000 Question 13 * A farmer can plant 45 kg of peanuts on 4,000 square metres of land . Which of the following represents the number of peanuts ( x ) he could plant on 8,500 square metres of land ? C. 45 4000 8500 45 8500 1 4000 45 1 8500 4000​

Answers

Answer: 765/8





Explanation: your mom told me lastnight

The number of peanuts ( x ) he could plant on 8,500 square meters of land = 95.6 kg

What is unitary method?

"It is a method of finding the value of a single unit, and based on that value we can find the required value."

For given question,

A farmer can plant 45 kg of peanuts on 4,000 square meters of land.

Using unitary method,

[tex]\frac{4000}{45}\\\\=88.8888 \\\\\approx 88.89[/tex]

This means, a farmer can plant 1 kg of peanuts on 88.89 square meters of land.

We need to find the number of peanuts ( x ) he could plant on 8,500 square meters of land.

Here, 1 kg = 88.89 square meters

          x kg = 8500 square meters

[tex]\Rightarrow x=\frac{8500}{88.89}\\\\ \Rightarrow x = 95.6~kg[/tex]

Therefore, the number of peanuts ( x ) he could plant on 8,500 square meters of land = 95.6 kg

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a tank 2m tall stands on the top of a concrete pillar. From point P on the same horizontal ground as the foot of the pillar, the angles of elevation of the top T and bottom B of the tank are 49 degress and 42 degrees respectively. Calculate correct to one decimal place the height of the pillar​

Answers

Answer:

2

[tex]3 \times 3[/tex]

22.
(05.07 MC)

The table shows the values of y for different values of x:

x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0


The correlation coefficient for the data is −0.9847. Which statement is true about the data in the table? (1 point)

There is no relationship between x and y.

There is a weak negative relationship between x and y.

There is a strong positive relationship between x and y.

There 22.
(05.07 MC)

The table shows the values of y for different values of x:

x 7 8 9 10 11 12 13
y 13 10 7 6 5 3 0


The correlation coefficient for the data is −0.9847. Which statement is true about the data in the table? (1 point)

There is no relationship between x and y.

There is a weak negative relationship between x and y.

There is a strong positive relationship between x and y.

There is a strong negative relationship between x and y.

Answers

The option fourth "There is a strong negative relationship between x and y" is correct.

What is correlation?

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

 

The options are:

There is no relationship between x and y.There is a weak negative relationship between x and y.There is a strong positive relationship between x and y.There is a strong negative relationship between x and y.

We have data:

x 7 8 9 10 11 12 13

y 13 10 7 6 5 3 0

The value of correlation r = -0.9847

As we know the value of r between -1 to +1

If r = 1 (perfect and positive correlation)

if r = -1 (perfect and negative correlation)

We have r = -0.9847

The value is near to -1 which means there is a strong negative relationship between x and y.

Thus, the option fourth "There is a strong negative relationship between x and y" is correct.

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Determine the measure of each indicated angle.

Answers

Answer:

∠ABC =   52°

∠BCA =  48°

∠CAB = 80°

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180.

13x² + 12x² + 20x² = 180

Combine like terms,

                 45x²  = 180

                     x² = 180 ÷ 45

                     x² = 4

                     x = √4

                     x = ± 2

x = 2 ; -2

∠ABC = 13x² = 13*4 = 52°

∠BCA = 12x² = 12 *4 = 48°

∠CAB = 20x² = 20 *4 = 80°

The value of x is +2 and -2 and the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given that:-

∠ABC = 13x² ∠ACB = 12x² and ∠CAB = 20x²

The angles will be calculated as follows:-

13x² + 12x² + 20x² = 180

45x²  =  180

x²  =  4

x   =  ±2

The angles will be:-

∠ABC = 13x²  = 13 x ( 2² ) = 52

∠ACB = 12x²  = 12 ( 2² )    = 48

∠CAB = 20x²  = 20 ( 2² )  = 80

Therefore value of x is +2 and -2 the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

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easy problem for you guys to solve

Answers

In the ΔIJH, the value of the cosec (I) is [tex]1\frac{9}{56}[/tex].

Given ΔIJH the length of the hypotenuse is 65,  the length of the base is 33, and the length of the opposite side is 56.

We have to find the value of the cosec (I).

A function of an arc or angle that is most easily represented in terms of the ratios of pairs of sides of a right-angled triangle, such as the sine, cosine, tangent, cotangent, secant, or cosecant.

We know cosec (I) = hypotenuse / opposite side

Substitute the values

cosec (I) = 65/56

              = [tex]1\frac{9}{56}[/tex]

Hence the value of cosec (I) is [tex]1\frac{9}{56}[/tex].

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What are the domain and range of the function

Answers

Option 3 !
x≠-4 (the denominator makes it so x≠4)
and y cannot be -11

Question 1 of 10
What is the volume of the cylinder below?


A.
168 units3
B.
378 units3
C.
252 units3
D.
288 units3

Answers

The volume of the cylinder shown below is 252πcm³

Volume of a cylinder

The formula for calculating the volume of a cylinder is expressed as:

V = πr²h

where:

r is the radius

h is the height

Given the following

radius = 6 units

height = 7 units

Substitute

V = πr²h

V = π(6)²(7)

V = 252πcm³

Hence the volume of the cylinder shown below is 252πcm³

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Match each figure to the number of lines of reflection that will reflect the figure onto itself.

Answers

The lines of symmetry for all the figures have been determined.

What is Reflection Symmetry ?

A symmetry in which one half of the object is symmetrical to thew other half

A square has 4 lines of reflection symmetry , 2 along its sides and 2 along its diagonals

A regular hexagon has 6 reflection symmetry , three along the midpoints of the sides and three along the daigonals

A Trapezium can have 0  or 1 lines of symmetry depending upon the length of the non parallel sides.

An equilateral Triangle has 3 lines of reflection symmetry , an isosceles has 2 lines of symmetry and a scalene triangle has no lines of symmetry.

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Answer:

Step-by-step explanation:

got it right

The average rate of the first part of Yi’s walk on a park loop was 4 miles per hour. She then met up with a friend and the two walked the rest of the way at an average rate of 5 miles per hour. The entire 3-mile walk took Yi 42 minutes (0.7 hour). Which equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend?

A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Part 1 and has 4, x, and 4 x. The second row shows Part 2, and has, 5, 0.7 minus x, and 5 left-parenthesis 0.7 minus x right-parenthesis.

x = 0.7 – x
x + (0.7 – x) = 1
4x + 5(0.7 – x) = 1
4x + 5(0.7 – x) = 3

Answers

The equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend would be D; 4x + 5(0.7 – x) = 3.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Total distance covered = 3 miles.

The first part walked at the rate of 4 miles per hour.

Let us consider x hours was walked in the first part.

Total distance covered in x hours at the rate of 4 miles per hour will be 4x.

Now, the Second walk rate with meeting with friend will be 5 miles per hour.

The Total time is taken = 0.7 hours.

Therefore, time is taken in the second walk only = (0.7 - x) hours.

Distance covered in second walk = 5 (0.7 - x).

Total distance covered = distance covered in the first part + distance covered in the second part.

4x + 5 (0.7 - x) = 3 miles.

Hence, correct option is D; 4x + 5(0.7 – x) = 3.

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Answer:

its d

Step-by-step explanation:

simplify 6e × 2f please help​

Answers

So first multiply the numbers
6 x 2 which gives you 12
then just add the letters which gives you
The answer (12ef) and that’s your answer

w = -5?
w2 + 3w − 11

Answers

The value of an expression will be equal to -1.

The complete question is given below:-

If the value of w is -5 then find the value of the expression w² + 3w -11.

What is an expression?

Expression in maths is defined as the collection of numbers, variables, and functions using signs like addition, subtraction, multiplication and division.

The given expression will be solved as follows:-

E = w² + 3w -11.

E = ( -5 )²  + ( 3 x -5 ) -11

E = 25 - -15 - 11

E = 25 - 26

E = -1

Therefore the value of an expression will be equal to -1.

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The price of a pack of kitchen rolls is reduced by 1/6

The new price is £1.20


Work out the original price.

Answers

Answer: 1.44

Step-by-step explanation:

(original price) - (1/6 of the original price) = 1.20

If you let x = original price, then the equation is:

x - 1/6 x = 1.20

5/6 x = 1.20

x = 1.44

the original price is £1.44.

Credits to the person who also answered :)

I hope this helps!

Answer:

£1.44

Step-by-step explanation:

Since the original price was reduced by 1/6, that means the new price is 5/6 of the original price.

Let x = original price.

Write an equation and solve it.

5/6 x = £1.20

x = £1.20 × 6/5

x = £1.44

this is really confusing please help

Answers

Step-by-step explanation:

you don't know the meaning of

[tex]y = {h}^{ - 1} (x)[/tex]

it means it is the inverse function to h(x).

the regular function assigns an y value to every x value.

the inverse function now turns this around and finds for a given y value the original x value.

so, the inverse function is easier understood, if we would write it

[tex]x = {h}^{ - 1} (y)[/tex]

but just for formal reasons, we don't define functions this way but do it like above (x is the input, y the output value).

just, the understanding of an inverse function is a I just described it.

that means for the points, simply x and y values trade places.

the point (1, 9) turns into (9, 1) (it means 1 was the original x value when the original function delivered 9 a result).

and the point (3, 2) turns into (2, 3).

so, move the 2 green dots to these coordinates.

What is the range of possible sizes for side x?
I dont need a long answer

Answers

Answer:

1.3 < x < 6.7

Explanation:

Given two sides of a triangle: 2.7 and 4.0

If 'x' will be the largest side:

third side < sum of two sidesx < 2.7 + 4.0x < 6.7

If 'x' will be smallest side:

third side > difference between two sidesx > 4.0 - 2.7x > 1.3

Hence range of possible size: 1.3 < x < 6.7

please I need the answer :-)​

Answers

Answer:

Step-by-step explanation:

A rectangular sheet of metal is 66cm x 12cm and rolled into a cylinder with height 12cm
Find the volume.

Answers

Answer:

4158cm cubed. Hope this helped!

Suppose a simple random sample of size n is obtained from a population whose distribution is skewed right. As the sample size n​ increases, what happens to the shape of the distribution of the sample​ mean?.

Answers

As the sample size grows, the distribution of the sampled means becomes normally distributed option (C) is correct.

What is simple random sampling?

With simple random sampling, each component of the population has an equal chance of being selected for the sample.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Suppose a simple random sample of size n is obtained from a population whose distribution is skewed right.

As we know, the distribution of sample means will be normally distributed even if the individual samples do not, according to the Central Limit Theorem, if the mean values for increasing sample sizes are determined.

Thus, as the sample size grows, the distribution of the sampled means becomes normally distributed.

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If the size of a storage box is 50 cm by 10 cm by 20 cm. What is the volume of the box?

Answers

Answer:

l×b×h

50×10×20

10000cm^3

Step-by-step explanation:

please mark me as brainlest

Answer:

10000 cm³

Step-by-step explanation:

Volume of rectangular box:

         To find the volume of box,  multiply the length, width and height of the box and its unit is cubic units

         [tex]\sf \boxed{\bf Volume \ of rectangular \ box = l *w*h}[/tex]

                                                         = 50 * 1 0 * 20

                                                          = 10000 cm³

PLS HELP ME

Mike invested $29,000 at 7.24% compounded daily.
What will Mike's account balance be in 21 years?

Answers

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. Mike's account balance after 21 years is $69,131.44.

What is compound interest?

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,

[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]

where A is the final amount

P is the principal amount

r is the rate of interest

n is the number of times interest is charged in a year

t is the number of years

The principal amount that Mike invested is $29,000. The rate of interest is 7.24% compounded daily, for 21 years. Therefore, the account balance after 21 years is

[tex]\text{Account Balance after 21 years} = 29,000(1+\dfrac{0.0724}{365})^{(365 \times 21)}[/tex]

                                                     = $69,131.44

Hence, Mike's account balance after 21 years is $69,131.44.

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What is the initial value of the sequence? Please help A group of students is comparing the graphs of strong acid-strong base and weak acid-strong base titration curves, where the base is the titrant. Which statement inaccurately describes a difference between the two curves? A. The initial pH for the weak acid-strong base curve is higher than the initial pH for the strong acid-strong base curve. B. At the equivalence points, the pH of the weak acid-strong base is greater than the pH of the strong acid-strong base. C. At the half-equivalence points, the pH of the weak acid-strong base is greater than the pH of the strong acid- strong base. D. The steep-rise interval in the weak acid-strong base curve is more pronounced than in the strong acid-strong base curve. what are storage devices? write two such devices How many of the thirteen states needed to approve a law before it could be passed, under the articles of confederation? three seven nine thirteen Appropriate and effective marketing metrics must be designed to identify, track, evaluate, and provide key benchmarks for improvement. In the context of change drivers affecting the future of marketing, this reflects the A woman passed gas silently. I said "it stinks", and she said "I apologize. Excuse me". Why did she say both of those things? By operating a vessel on wisconsin waters, what have you consented to, if requested by a law enforcement officer?. Find the x-intercept(s) and the coordinates of the vertex for the parabola y= x^2 -8x + 12. if there is more than one x-intercept, separate them with commas. what is the gradient if y=-x+3 F10) How many Solutions Does thisSystem Have?y=2Xy = -x + 2 solve for z z - 6 < 3 The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 17 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. What is the distribution of X ? X ~ N( , ) What is the distribution of x ? x ~ N( , ) For a single randomly selected movie, find the probability that this movie's production cost is between 55 and 58 million dollars. For the group of 17 movies, find the probability that the average production cost is between 55 and 58 million dollars. For part d), is the assumption of normal necessary? NoYes The percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995. (a) Predict when the percentage will be 47% (b) Predict the percentage in 2005 Pepperidge Farm Goldfish is a snack food for which 40% of it's calories come from fat. Rold Gold Pretzels receive 9% of their calories from fat. How many grams of each would be needed to make 620 g of a snack mix for which 15% of the calories are from fat? Kojo is twice as old as Esi who in turn is 5 years older than kwaku .if their total age is 47 . How old is each of them? What were the Fourteen Points?a. an outline of America's war aimsb. secret treaties held by the Central Powersc. an outline of Germany's war aimsd. secret treaties held by the Allies What were land bridges used as an explanation for?A. Tidal forcesB. Mesosaurus fossilsC. Seafloor spreadingD. Magnetic striping on the ocean floorSUB Abby used the law of cosines for TriangleKMN to solve for k.k2 = 312 + 532 2(31)(53)cos(37)Triangle K N M is shown. The length of K N is 53, the length of N M is k, and the length of K M is n.Law of cosines: a2 = b2 + c2 2bccos(A)What additional information did Abby know that is not shown in the diagram?mAngleK = 37 and n = 31mAngleK = 37 and k = 31mAngleN = 37 and n = 31mAngleN = 37 and k = 31 What is Animalia Kingdom Are humans likely affected by biomagnification? if so, which foods might be dangerous?