Use the quadratic formula to find both solutions to the quadratic equation given below. 2x^2+3x-5=0

Answer:

The temperature range is [tex]95^o[/tex] , going from [tex]-45^0[/tex]  to [tex]40^o[/tex]

Step-by-step explanation:

The temperature range is the difference between the maximum and the minimum temperature:

[tex]40^o-(-45^o)=40^o+45^o=95^o[/tex]

The temperature range is [tex]95^o[/tex] , going from [tex]-45^0[/tex]  to [tex]40^o[/tex]

Answer:

f\left(x\right)=x^3-x

Step-by-step explanation:

Answer:

maybe is a

Step-by-step explanation:

Answer:

F(x) = 0.0027x^3 - 21X - 11,430

Step-by-step explanation:

Answer:

5 one-third ft²

Step-by-step explanation:

rectangle=5ft (base) / 1/3ft (height)

triangle1=3ft (base) / 2ft (height)

triangle2=2/3ft (base) / 2ft (height)

area of rectangle=5x1/3

=5/3ft²

area of triangle1=3x2(1/2)

=3ft²

area of triangle2=2/3x2(1/2)

=2/3ft²

Total area=5/3+6+2/3

=16/3ft² or 5 one-third ft²

Answer:

A

Step-by-step explanation:

took the test on edg 2021

Answer:

HJ > KP

Step-by-step explanation:

Form the figure attached,

Two triangles PKL and JGH have been given with HG ≅ KL and PL ≅ GJ

m∠HGJ = 90°

m∠KLP = 85°

Since m∠HGJ > m∠PLK

Therefore, measure of opposite sides of these angles have the same relation.

HJ > KP

Answer:

15.86%

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Percent of area between the mean and 0.20 standard deviations from the mean:

pvalue of Z = 0.2 subtracted by the pvalue of Z = -0.2

Z = 0.2 has a pvalue of 0.5793

Z = -0.2 has a pvalue of 0.4207

0.5793 - 0.4207 = 0.1586

So this percentage is 15.86%

Answer:

200 feet

Step-by-step explanation:

Area of the warehouse [tex]=60,000$ ft^2[/tex]

Let the length of the warehouse=l

The warehouse's width is exactly  [tex]\dfrac23[/tex] of its length

Therefore: Width of the warehouse[tex]=\dfrac23l[/tex]

Area =Length X Width

Therefore:

[tex]\dfrac23l*l=60000\\$Cross multiply\\2l^2=60000*3\\2l^2=180000\\$Divide both sides by 2\\2l^2 \div 2=180000 \div 2\\l^2=90000\\l^2=300^2\\$Length, l=300 feet\\Recall: Width =\dfrac23l\\$Therefore, Width of the warehouse=\dfrac23*300=200$ feet[/tex]

Answer:

so halve the deck is black and halve the deck is red so you have 26 black cards then divide by 5 and you get 5 with 1 card leftover

Answer:

10 red marbles

Step-by-step explanation:

Total= 45 marbles

Probability of red= 2/9

Number of red= 45*2/9= 10

Answer: x= 23/30

Step-by-step explanation:

[tex]\frac{5}{6}[/tex] = [tex]\frac{10}{2}x -3[/tex]    reduce 10/2 to 5 because 10/2  is 5.

5/6 = 5x -3

+ 3         +3

23/6 = 5x   divide both sides by 5.

x= 23/30

The right answer is 40 cm

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

a. 336

b. 14.01%

c. 0.2%

Step-by-step explanation:

a. We have that the number of zinfandel bottles is 8 and that the number of zinfandel served is 3, therefore:

n = 8 and r = 3

we can calculate it by means of permutation:

nPr = n! / (n-r)!

replacing:

8P3 = 8! / (8-3)!

8P3 = 336

Which means there are 336 ways.

b. First we must calculate the ways to choose 2 bottles of each variety, through combinations:

nCr = n! / (r! * (n-r)!

We know that there are 8 bottles zinfandel, 10 of merlot, and 12 of cabernet, and we must choose 2 of each, therefore it would be:

8C2 * 10C2 * 12C2

8! / (2! * (8-2)! * 10! / (2! * (10-2)! * 12! / (2! * (12-2)!

28 * 45 * 66 = 83160

Now we must calculate the total number of ways, that is, choose 6 bottles of the 30 total (8 + 10 + 12)

30C6 = 30! / (6! * (30-6)! = 593775

Thus:

83160/593775 = 0.1401

In other words, the probability is 14.01%

c. In this case, we must calculate the number of ways of 8 bottles zinfandel, 10 of merlot, and 12 of cabernet choose 6, that is to say that they are all of the same variety, therefore:

8C6 + 10C6 + 12C6

8! / (6! * (8-6)! + 10! / (6! * (10-6)! + 12! / (6! * (12-6)!

28 + 210 + 924 = 1162

And that divide it by the total amount that we calculated the previous point, 30C6 = 593775

Thus:

1162/593775 = 0.002

In other words, the probability 0.2%

Answer:

a) 1.46%.

b) 92.33%.

c) 0.32%.

d) 50%

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 30, \sigma = 5.5[/tex]

a) catch a dragonfly in less than 18 seconds;

This is the pvalue of Z when X = 18. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{18 - 30}{5.5}[/tex]

[tex]Z = -2.18[/tex]

[tex]Z = -2.18[/tex] has a pvalue of 0.0146

So the percentage of shrews is 1.46%.

b) catch a dragonfly in between 22 and 45 seconds;

This is the pvalue of Z when X = 45 subtracted by the pvalue of Z when X = 22.

X = 45

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 30}{5.5}[/tex]

[tex]Z = 2.73[/tex]

[tex]Z = 2.73[/tex] has a pvalue of 0.9968

X = 22

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{22 - 30}{5.5}[/tex]

[tex]Z = -1.45[/tex]

[tex]Z = -1.45[/tex] has a pvalue of 0.0735

0.9968 - 0.0735 = 0.9233

So the answer is 92.33%.

c) take longer than 45 seconds to catch a dragonfly?

From b), when X = 45, Z = 2.73 has a pvalue of 0.9968

1 - 0.9968 = 0.0032

So the answer for this item is 0.32%.

d) take less than 30 seconds to catch its prey;

This is the pvalue of Z when X = 30.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{30 - 30}{5.5}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

So the answer for d) is 50%.

Answer:

.30

Step-by-step explanation:

the answer is .30333 (with the 3 repeating) and since 3 is less than 5 you leave the second number as is.

Answer:

103

Step-by-step explanation:

A number to the power of a negative exponent, means 1 divided by that same number to the power of the positive exponent.

1/(216^(-2/3)) + 1/(256^(-3/4)) + 1/(243^(-1/5))

Break it apart into three pieces.

1/(216^(-2/3))

216^(2/3) = 36

1/(256^(-3/4))

256^(3/4) = 64

1/(243^(-1/5))

243^(1/5) = 3

So...

1/(216^(-2/3)) = 36

1/(256^(-3/4)) = 64

1/(243^(-1/5)) = 3

Add the numbers gives:

36 + 64 + 3 = 103

Answer:

The first step is to determine how many times 2x goes into 8x^3

Step-by-step explanation:

The first step is to determine how many times 2x goes into 8x^3

                     4x^2

        --------------------------

2x-1  |  (8x3 – x2 + 6x + 7

           8x^3 -4x^2

Answer:

A

Step-by-step explanation:

i just took the test

Answer:

Correct answer is A) 4,4,4,4

Answer: x + 8

Step-by-step explanation:

The required quotient in polynomial form is x + 8.

To determine the synthetic division of 2 | 1 6 -16 and quotient in polynomial function.

It is a method for performing division of polynomials, with little writing and lesser calculations than complex division.

2   |    1      6      -16
               +2     +16        
         1      8       0  
Its quotient in polynomial form is given as x + 8

Thus, The required quotient in polynomial form is x + 8.

Learn more about synthetic divisions here:
https://brainly.com/question/11850611
#SPJ5

Answer:

20%

Step-by-step explanation:

Cost price (C. P.) of each pen = ₹ 15

Selling price (S. P.) of each pen = ₹ 18

Profit = S. P. - C. P. = 18 - 15 = ₹3

[tex]profit \: percent \\ \\ = \frac{profit}{c.p.} \times 100 \\ \\ = \frac{3}{15} \times 100 \\ \\ = \frac{3}{3} \times 20 \\ \\ = 20\%[/tex]

Answer:

SD = 5.987, Var(X) = 35.85

Step-by-step explanation:

Apply the standard deviation formula, remembering that n represents the sample size. Then, just take the square of the standard deviation to obtain the variance.

Hope this helps!

Answer:

Step-by-step explanation:

For this kind of question you'd be better off if you'd write down and share your own answers to these conceptual questions and then ask for Brainly feedback on what you have written.  You'll need to understand the concept of "function" often in algebra and beyond.

What concepts (only the names) did you need to accommodate the concept of function in your mind?  input, output, rule, domain, range, mapping, variation (direct and inverse)

Simplest function:  y = c  (there's only one x-value and y equals that value)

In your day to day, is there any occurring fact that can be interpreted as a function?  An electronic parking meter:  the amount of time you can park at the meter without risking getting a ticket is dependent upon the number of quarters you insert into the meter, e. g, 15 minutes for 25 centers, 30 minutes for 50 cents, and so on.

Is it possible to view a function?  Sure.  Graph the function.

What strategy are you using to get the graph of a function?  Set up a coordinate plane.  Label the horizontal axis "x" and the vertical axis "y".  Choose x (input) values that are included in the domain of the function.  If the domain includes '0' you will be finding the 'y-intercept' of the function.  Write the input and output as a point:  (x, y).  Plot that point.  Choose other x values within the domain and calculate the corresponding y value for each.  Plot several more points and draw a line or a curve through them.  Of course there are more sophisticated strategies for graphing functions.  Remember:  If you're working with a function, there is never more than one output or y value for any particular input value.

Answer:

There were 30 people attending at the start of the concert

Step-by-step explanation:

The coefficient of the value raised to an exponent in these types of functions is always the "starting" value. In your case, '30' is the coefficient, so it is the starting value. FYI: 1.10 is the rate at which the people increase, t is time passed, 20 is a constant, and P is the total number of people after the time goes by.

Answer:

There were 30 people attending at the start of the concert.

Step-by-step explanation:

30 is the coefficient, so that's your starting point, basically.

Answer:

(4+4)/2 = 4

Hope this helps

Answer:

4

Step-by-step explanation:

1,2,2,4,4,6,6,7

The median is the number in the middle however there are an even amount of numbers so you get the number between 4 and 4 which is just 4

Answer:

Camera 2nd has to cover the maximum angle, i.e. [tex]78.70^\circ[/tex].

Step-by-step explanation:

Please have a look at the triangular park represented as a triangle [tex]\triangle ABC[/tex] with sides

a = 110 ft

b = 158 ft

c = 137 ft

1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.

We can use law of cosines here, to find out the angles [tex]\angle A, \angle B, \angle C[/tex]

As per Law of cosine:

[tex]cos C = \dfrac{a^{2}+b^2-c^2 }{2ab}\\cos B = \dfrac{a^{2}+c^2-b^2 }{2ac}\\cos A = \dfrac{b^{2}+c^2-a^2 }{2bc}[/tex]

Putting the values of a,b and c to find out angles [tex]\angle A, \angle B, \angle C[/tex].

[tex]cos C = \dfrac{110^{2}+158^2-137^2 }{2\times 110 \times 158}\\\Rightarrow cos C = \dfrac{12100+24964-18769 }{24760}\\\Rightarrow cos C =0.526\\\Rightarrow C = 58.24^\circ[/tex]

[tex]cos B = \dfrac{110^{2}+137^2-158^2 }{2\times 110 \times 137}\\\Rightarrow cos B = \dfrac{12100+18769 -24964}{30140}\\\Rightarrow cos B = \dfrac{5905}{30140}\\\Rightarrow cos B =0.196\\\Rightarrow B = 78.70^\circ[/tex]

[tex]cos A = \dfrac{158^{2}+137^2-110^2 }{2\times 158 \times 137}\\\Rightarrow cos A = \dfrac{24964+18769-12100}{43292}\\\Rightarrow cos A = \dfrac{31633}{43292}\\\Rightarrow cos A = 0.731\\\Rightarrow A = 43.05^\circ[/tex]

Camera 2nd has to cover the maximum angle, i.e. [tex]78.70^\circ[/tex].

Answer:

Step-by-step explanation:

Confidence interval for the difference in the two proportions is written as

Difference in sample proportions ± margin of error

Sample proportion, p= x/n

Where x = number of success

n = number of samples

For the first brochure,

x = 100

n1 = 500

p1 = 100/500 = 0.2

For the second brochure

x = 125

n2 = 500

p2 = 125/500 = 0.25

Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for confidence level of 95% is 1.96

Margin of error = 1.96 × √[0.2(1 - 0.2)/500 + 0.25(1 - 0.25)/500]

= 1.96 × √0.000695

= 0.052

Confidence interval = (0.2 - 0.25) ± 0.052

= - 0.05 ± 0.052

Answer:

d) 50

Step-by-step explanation:

40 + 90 + p = 180

p = 50

Answer: D  180 degrees rotation about the origin.then a dilation by a scale factor of one-third.

Step-by-step explanation:

A( -9,3)    B(-9,6)  C (0,3)  

After a rotation of 180 degrees you will have the new points as

A (9,-3)   B( 9,-6)  C (0, -3)

The you after dilating it by a scale factor of 1/3

you will get the coordinates

A ( 3,-1)  B( 3,-2)   C(0,-1)  

which match is what was given in the question.

Answer:

a 180° rotation about the origin, then a dilation by a scale factor of One-third

Step-by-step explanation:

took the test

Answer:

range 11

Step-by-step explanation:

The range is the largest number minus the smallest number

The largest number is 12 and the smallest number is 1

12 - 1 = 11

Answer:

78.5 cm^2

Step-by-step explanation:

The area of a circle is found by

A = pi r^2

A = pi (5)^2

A = 25pi

Letting pi = 3.14

A = 25(3.14)

A =78.5 cm^2

Letting  pi be the pi button

A =78.53981634

Rounding to the nearest tenth

78.5

Answer:

78.5 cm²

Step-by-step explanation:

The area of a circle can be found using the following formula.

a=πr²

We know the radius of the circle is 5 centimeters.

r=5

Substitute 5 in for r.

a=π(5²)

Evaluate the exponent. 5² is equal to 5*5, which equals 25.

a=π(25)

Multiply 25 and pi

a=78.5398163397

Round to the nearest tenth. The 3 in the hundredth place tells use to leave the 5 in the tenths place as is.

a≈78.5

Add appropriate units. Area always uses units², and the units in this case are centimeters.

a≈78.5 centimeters²

The area of the circle is about 78.5 square centimeters.

Answer: 20

Step-by-step explanation: 5 times 4 is 20 times 2 is 40, but when you divide by 1/2 you drop down to 20.