Write the equation of an exponential function that satisfies these characteristics: 1. Y intercept of (0, -3) 2. Range is all y values less than 0

Answer:

x = 10

Step-by-step explanation:

In an equilateral triangle, the altitude, or height is also the median and angle bisector. So, we can say a side of the equilateral triangle is 2 x 5 or 10. Every side of an equilateral triangle is congruent, so x is 10.

Answer:

A=πr(r+h2+r2)

Step-by-step explanation:

A. hope this helps.

The value of surface area of the right cone is,

⇒ 175.8 units²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Radius of cone = 4 units

Slant height = 10 units

Now, The formula for the total surface area of a right cone is,

T. S. A = πrl + πr²

Hence, We get;

The value of surface area of the right cone is,

⇒ 3.14 x 4 x 10 + 3.14 x 4²

⇒ 125.6 + 50.24

⇒ 175.8 units²

Thus, The value of surface area of the right cone is,

⇒ 175.8 units²

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Answer:

f(-2) = -9

g(6) = 106

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4x - 1

f(-2) is x = -2 for function f(x)

g(x) = 3x² - 2

g(6) is x = 6 for function g(x)

Step 2: Evaluate

f(-2)

g(6)

Answer:

[tex]26 > c > 58[/tex]

Step-by-step explanation:

Given

[tex]a,b =42; 16[/tex] --- 2 sides

Required

The inequality for the third side

To do this, we make use of:

[tex]a + b < c[/tex]

[tex]a + c < b[/tex]

[tex]b + c < a[/tex]

So, we have:

[tex]42 + 16 < c[/tex]

[tex]16 + c < 42[/tex]

[tex]42 + c < 16[/tex]

This gives:

[tex]58 < c[/tex]

[tex]c < 26[/tex]

[tex]c<-26[/tex]

The usable inequalities are:

[tex]c < 26[/tex] and [tex]58 < c[/tex]

Rewrite:

[tex]c < 26[/tex] and [tex]c > 58[/tex]

So, the inequality is:

[tex]26 > c > 58[/tex]

Geometry

This makes a cube because a cube has 6 faces, 8 vertices, and 12 edges.

Answer:

25

Step-by-step explanation:

Answer:

abcdefghijklmnopqrstuvwxyz

Step-by-step explanation:

zyxwvutsrqponmlkjihgfedcba

Answer:

40 cm

Step-by-step explanation:

57600 is the volume here

Because "was filled with 57600cm of water."

36 x 40 x n = 57600

n = 40

Answer:

[tex]s \ne \±2[/tex]

[tex]x_1 = \frac{3s - 2}{3(s^2 -4)}[/tex]

[tex]x_2 = \frac{2(s- 6)}{5(s^2 - 4)}[/tex]

Step-by-step explanation:

Given

[tex]3sx_1 +5x_2 = 3[/tex]

[tex]12x_1 + 5sx_2 =2[/tex]

Required

Determine the value of s

Express the equations as a matrix

[tex]A =\left[\begin{array}{cc}3s&5\\12&5s\end{array}\right][/tex]

Calculate the determinant

[tex]|A|= (3s*5s -5 *12)[/tex]

[tex]|A|= (15s^2 -60)[/tex]

Factorize

[tex]|A|= 15(s^2 -4)[/tex]

Apply difference of two squares

[tex]|A|= 15(s -2)(s + 2)[/tex]

For the system to have a unique solution;

[tex]|A| =0[/tex]

So, we have:

[tex]15(s -2)(s+2) = 0[/tex]

Divide both sides by 15

[tex](s -2)(s+2) = 0[/tex]

Solve for s

[tex]s -2 = 0\ or\ s +2 = 0[/tex]

[tex]s = 2\ or\ s = -2[/tex]

The result can be combined as:

[tex]s =\±2[/tex]

Hence, the system has a unique solution when [tex]s \ne \±2[/tex]

Next, we solve for s using Cramer's rule.

We have:

[tex]mat\ x_1 = \left[\begin{array}{cc}3&5\\2&5s\end{array}\right][/tex]

Calculate the determinant

[tex]|x_1| = (3 * 5s - 5 *2)[/tex]

[tex]|x_1| = 15s - 10[/tex]

So:

[tex]x_1 =\frac{|x_1|}{|A|}[/tex]

[tex]x_1 = \frac{15s - 10}{15(s -2)(s+2)}[/tex]

Factorize

[tex]x_1 = \frac{5(3s - 2)}{15(s -2)(s+2)}[/tex]

Divide by 5

[tex]x_1 = \frac{3s - 2}{3(s -2)(s+2)}[/tex]

[tex]x_1 = \frac{3s - 2}{3(s^2 -4)}[/tex]

Similarly:

[tex]mat\ x_2 =\left[\begin{array}{cc}3s&3\\12&2\end{array}\right][/tex]

Calculate the determinant

[tex]|x_2| = 3s * 2 - 3 * 12[/tex]

[tex]|x_2| = 6s- 36[/tex]

So:

[tex]x_2 =\frac{|x_2|}{|A|}[/tex]

[tex]x_2 = \frac{6s- 36}{15(s -2)(s+2)}[/tex]

Factorize

[tex]x_2 = \frac{6(s- 6)}{15(s -2)(s+2)}[/tex]

Divide by 3

[tex]x_2 = \frac{2(s- 6)}{5(s -2)(s+2)}[/tex]

[tex]x_2 = \frac{2(s- 6)}{5(s^2 - 4)}[/tex]

Answer:

C.-2.33

Step-by-step explanation:

We are given that

Significance level, [tex]\alpha =1[/tex]%=0.01

We have to find  the critical value of z  for a left-tailed test.

To find the critical value , we will use the z-table at significance level 0.01 for left-tailed test.

By using the z-table at significance level 0.01 for left-tailed test

The critical value of z at  1% significance level for left-tailed test

=-2.33

We get p-value by using z-critical value

P-value=0.0099<0.01

So, hypothesis  test would be reject the null hypothesis at  at 1% significance level.

Hence, the critical value of z=-2.33

Option C is true.

Answer:

Part C

you would only be able to have 200 people from each region train. this would lower the percentage of the impact the training had on the amount of sales ( if any) . For example, if the original 250 trained people in a region increased the sales in that region by 20 percent and 50 of those people ended up not actually training, the sales would have only increased by 16 percent.  

Step-by-step explanation:

The self-selection process of allowing sales representatives to choose whether to participate in the field-training program or opt out can potentially affect the statistical validity of comparing the change in the proportion of sales orders from new stores.

This is because the two groups (participants and non-participants) may differ systematically in ways that could influence the outcome being measured.

For example, let's consider that the field-training program is designed to improve sales skills and provide strategies for targeting new stores effectively. Sales representatives who actively choose to participate in the program might be more motivated, enthusiastic, or confident in their abilities compared to those who opt out. This self-selection process can introduce a bias into the results.

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Answer:

If you walk into a bank and open up a savings account you will earn interest ... include the amount of money deposited called the principal, the annual interest rate ...

Answer:

3731.08

Step-by-step explanation:

let x= the present value (or principle)

[tex]5000=x(1.05)^6\\\frac{5000}{1.05^6}=x\\x=3731.076983[/tex]

9514 1404 393

Answer:

  105°

Step-by-step explanation:

The sum of measures of angles in a triangle is 180°. The third angle is ...

  180° -22° -53° = 105°

Answer:

The probability would be 3/25

Answer:

Step-by-step explanation:

1) the triangle on the right is half of an equilateral one, so the minor leg is 9

the left one has the two legs congruent

so we have

2x^2 = 81

x^2 = 81/2

x = 9/√2 = 9/2 √2 (at the numerator)

2) the top triangle has the congruents leg

hypotenuse^2 = 2(6√6)^2

hypotenuse^2 = 2(216)

hypotneuse^2 = 432

hypotenuse = √2^4 * 3^2 * 3

hypotenuse = 12√3

the triangle in the bottom is half of the an equilateral one, so

x = 12√3 * 2 = 24√3

3) the left triangle has congruent legs

7^2 = leg^2 + leg^2

49 = 2leg^2

leg^2 = 49/2

leg = 7/√2 = (7√2)/2

the right triangle is half of an equilateral one

x = 7√2/2 * √3 =  7/2 √6 (at the numerator)

4) the rifht triangle has two congruent legs

hy^2= 2(7√6)^2

hy^2 = 2(294)

hy^2 = 588

hy = √2^2 * 7^2* 3

hy = 14√3

the triangle on the left is half of an equilteral one: so

x = 14

There are many shapes of a star. It depends on the shape of the star. If you’re referring to this star, then the number of triangles is 5.

Hope this answers your question!

Answer:

Lara because 1 out of 2 is 50%

Step-by-step explanation:

1/2= 0.5

0.5 in percentage is 50%

Answer:

732,421,875

Step-by-step explanation:

You have to find the pattern which in this case is just multiplying by 5 every absolute number. the negatives are only every other one. from knowing this you just have to find all the numbers until 13 and the 13th term in this sequence is 732,421,875

Answer:

28

Step-by-step explanation:

The value with maximum frequency is mode.

so here 28 is mode because it is repeates maximum number of times.

Answer:

Mean = 587

Median = 585

Mode = 590

Standard deviation = 112.538

The mean and the median

Yes, both mean and median have close values

Step-by-step explanation:

Given the data:

365, 420, 450, 460, 480, 480, 510, 520, 520, 550, 550, 560, 570, 580, 580, 590, 590, 590, 590, 600, 600, 620, 630, 660, 680, 700, 710, 775, 790, 890

The mean, m = Σx / n = 17610 / 30

Mean = 587

The median = 1/2(n+1)th term

Median = 1/2(31)th term

Median = 15.5th = (580+590) / 2 = 585

The mode = 590 (observation with highest frequency, 4)

Standard deviation, s = √Σ(x-m)²/(n-1)

s = 112.538

Answer:

W=10

L=14

Step-by-step explanation:

Area of the rectangle is L x W=140  

            We know that L=4+W, so we have to substitute this value to obtain one equation  

            with just one unknown value;  

            (4+W) x W=140, solving the equation and making it equal to zero we obtain,

            W2 + 4W – 140 = 0, using the quadratic formula to solve we get two values for W

            One positive and one negative;

  W1=10 and W2=-14. Because we are dealing with distances, the value of

           cannot be a negative number. Therefore, the value of W is 10. With this, we

            can go back to substitute the value of W to find L,

            L = 4 + W,  

            L = 4+ 10 = 14, so the answer is W=10 and L=14

_________________

Hope this is helpful.

Answer:

5s^2 - 30st - 7t^2

Step-by-step explanation:

Answer and Step-by-step explanation:

Distribute the s, then distribute the t, then finally simplify.

[tex]5s^2 - 7st\\5st - 7t^2\\\\5s^2 - 7st + 5st - 7t^2\\\\5s^2 - 2ts = 7t^2[/tex]<-- This is the answer.

#teamtrees #PAW (Plant And Water)

Step-by-step explanation:

domain : i think is x > 4/3

range : y >4

9514 1404 393

Answer:

  (9x -4)/(x^2 -4)

Step-by-step explanation:

Perhaps you intend the sum ...

  7x/(x^2 -4) +2/(x +2)

  [tex]=\dfrac{7x}{(x+2)(x-2)}+\dfrac{2}{x+2}=\dfrac{7x+2(x-2)}{(x+2)(x-2)}\\\\=\boxed{\dfrac{9x-4}{x^2-4}}[/tex]

sorry

i dont know

i wish i could help

Answer:

Step-by-step explanation:

Answer:

Picture attached :)

Step-by-step explanation:

Draw straight lines from the corner of the shape to the point at (0,3) - now you have the outline of where the new shape should go. Now divide the number of squares on each side by 3. This is easy as the shape uses multiples of 3. Then find within the lines where the shape fits. This is how I did it, hope it helps,

We present the resulting figure in the image attached.

The original figure is formed by the following vertices: [tex]A(x,y) = (6, 9)[/tex], [tex]B(x,y) = (7.5, 9)[/tex], [tex]C(x,y) = (7.5, 6)[/tex], [tex]D(x,y) = (9,6)[/tex], [tex]E(x,y) = (9, 4.5)[/tex] y [tex]F(x,y) = (6, 4.5)[/tex]. The image is found by the following transformation:

[tex]P'(x,y) = O(x,y)+k\cdot [P(x,y)-O(x,y)][/tex] (1)

Where:

If we know that [tex]O(x,y) = (0,3)[/tex] and [tex]k = \frac{1}{3}[/tex], then the resulting points of the figure are, respectively:

[tex]A'(x,y) = (0,3) + \frac{1}{3}\cdot [(6,9)-(0,3)][/tex]

[tex]A'(x,y) = (0,3) + \frac{1}{3}\cdot (6,6)[/tex]

[tex]A'(x,y) = (0,3) +(2,2)[/tex]

[tex]A'(x,y) = (2,5)[/tex]

[tex]B'(x,y) = (0,3) + \frac{1}{3}\cdot [(7.5, 9)-(0,3)][/tex]

[tex]B'(x,y) = (0,3) +\frac{1}{3}\cdot (7.5, 6)[/tex]

[tex]B'(x,y) = (0,3) + (2.5, 2)[/tex]

[tex]B'(x,y) = (2.5, 5)[/tex]

[tex]C'(x,y) = (0,3) + \frac{1}{3}\cdot [(7.5,6)-(0,3)][/tex]

[tex]C'(x,y) = (0,3) +\frac{1}{3}\cdot (7.5, 3)[/tex]

[tex]C'(x,y) = (0,3) +(2.5, 1)[/tex]

[tex]C'(x,y) = (2.5, 4)[/tex]

[tex]D'(x,y) = (0,3) + \frac{1}{3}\cdot [(9,6)-(0,3)][/tex]

[tex]D'(x,y) = (0,3)+\frac{1}{3}\cdot (9, 3)[/tex]

[tex]D'(x,y) = (0,3) +(3, 1)[/tex]

[tex]D'(x,y) = (3, 4)[/tex]

[tex]E'(x,y) = (0,3)+\frac{1}{3}\cdot [(9, 4.5)-(0,3)][/tex]

[tex]E'(x,y) = (0,3) + \frac{1}{3} \cdot (9,1.5)[/tex]

[tex]E'(x,y) = (0,3) + (3, 0.5)[/tex]

[tex]E'(x,y) = (3, 3.5)[/tex]

[tex]F'(x,y) = (0,3) + \frac{1}{3}\cdot [(6, 4.5)-(0,3)][/tex]

[tex]F'(x,y) = (0,3) + \frac{1}{3} \cdot (6, 1.5)[/tex]

[tex]F'(x,y) = (0,3) +(2, 0.5)[/tex]

[tex]F'(x,y) = (2, 3.5)[/tex]

Finally, we present the resulting figure in the image attached.

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Answer:

The mean of the random variable is 0.

The variance of the random variable is [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

We are given the following probability distribution:

[tex]P(X = -2) = \frac{1}{8}[/tex]

[tex]P(X = -1) = \frac{2}{8}[/tex]

[tex]P(X = 0) = \frac{2}{8}[/tex]

[tex]P(X = 1) = \frac{2}{8}[/tex]

[tex]P(X = 2) = \frac{1}{8}[/tex]

Mean:

Sum of each value multiplied by its probabilities. So

[tex]E(X) = -2\frac{1}{8} -1\frac{2}{8} + 0\frac{2}{8} + 1\frac{2}{8} + 2\frac{1}{8} = \frac{-2 -1 0 + 1 + 2}{8} = \frac{0}{8} = 0[/tex]

The mean of the random variable is 0.

Variance:

Sum of the difference squared between each value and the mean, multiplied by its probabilities. So

[tex]V(X) = \frac{1}{8}(-2-0)^2 +\frac{2}{8}(-1-0)^2 + \frac{2}{8}(0-0)^2 + \frac{2}{8}(1-0)^2 + \frac{1}{8}(2-0)^2 = \frac{4 + 2 + 0 + 2 + 4} = \frac{12}{8} = \frac{3}{2}[/tex]

The variance of the random variable is [tex]\frac{3}{2}[/tex]

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Answer:

  A

Step-by-step explanation:

Your friendly local graphing calculator or spreadsheet can tell you the quadratic regression equation. It best matches choice A.

Answer:

A. B and C are functions

Step-by-step explanation:

Given

See attachment for mapping diagrams

Required

Which represent function

For a mapping to be considered a function, each element of the input set must only point to 1 element of the output set.

Base on the above analysis, we have:

Map A

1 points to 6; 2 to 7; 3 to 8; and 4 to 9

This is a function

Map B

2 points to 0; 4 to 0; 6 to 0; and 8 to 0

This is a function

Map C

1 points to 8; 3 to 8; 5 to 9; and 7 to 9

This is a function

Map D

0 points to 2 and 5; 3 points 7 and 9

This is not a function