Write an equation for the relationship shown in the table. m 0 2 3 n 0.3 3.7 5.

Answer:150?

Step-by-step explanation:

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

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Answer:

Good job

Step-by-step explanation:

Answer: Yes, you are correct. I don't really understand what the question is though lol.

Step-by-step explanation:

10*9 is 90

So, 90/9= 10

or vise versa....90/10=9

The missing statement is the quadratic formula and the correct option therefore is the third option;

The quadratic formula is used to find the solution of a quadratic equation. The quadratic formula is; \(x = \frac{-b\pm\sqrt{b^2-4\cdot a\cdot c} }{2\cdot a}\)

The statements and reasons can be presented algebraically as follows;

Statements \({}\)                                          Reasons

\(x^2+\frac{b}{a}\cdot x+(\frac{b}{2\cdot a} )^2 = -\frac{4\cdot a\cdot c}{4\cdot a^2}+ \frac{b^2}{4\cdot a^2}\)        Find a common denominator on the

                                                            right side of the equation

\(x^2 + \frac{b}{a} \cdot x+(\frac{b}{2\cdot a} )^2 = \frac{b^2-4\cdot a \cdot c}{4\cdot a^2}\)                 Add the fractions together on the

                                                     \({}\)        right side of the equation

\((x +\frac{b}{2\cdot a} )^2 = \frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2}\)                             Rewrite the perfect squared equation

                                                      \({}\)      to the left side of the equation as a

                                                        \({}\)    binomial squared

\(x + \frac{b}{2\cdot a} = \pm\sqrt{\frac{b^2 - 4\cdot a \cdot c}{4\cdot a^2} }\)                   Take the square root of both sides of  the

                                                    \({}\) equation

\(\underline{x = \frac{-b\pm\sqrt{b^2 - 4\cdot a \cdot c} }{2\cdot a}}\)                                 Simplify the right side of the equation    

The correct option is therefore;

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Answer:

A

Step-by-step explanation:

i took the test

have a great day :) .!

Answer:between 28000 km and 32000 km

Step-by-step explanation:

Answer:

the volume of the square pyramid is 2430 cubic cm

Answer:

1296 cm³

Step-by-step explanation:

V = a² x [√s²- (a/2)²] / 3

a = 18 cm

s = 15 cm

V = 18² x [√15²-(18/2)²] / 3 = 18² x [√225-81] / 3

V = 324 x (√144/3) = 1296 cm³

Answer:

4.9 in

Step-by-step explanation:

6/11 = x/9

6/11 times 9 = x

x = 4.9

Answer:

Attached is an example of a circle with a radius of 5 and a diameter of 10.

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Answer:

The length of the side BC is 6 units.

Step-by-step explanation:

Rectangle ABCD

Coordinates of Point A,B,C,D

\(A = ( 5 , 5)B = (7, 5)C = (7 , -1)D = (5 , -1)\)

As we are asked to find the length of side BC, we'll apply the Distance formula on side BC

BC = \(\sqrt{(7_ {-} 7)^{2} +(-1 {-} 5)^{2}}\)

     = \(\sqrt{(0)^{2} +(-6)^{2}}\)

     = \(\sqrt{ 36}\)

     = \(6\)

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Answer:

The expected value for this game is -$0.75, indicating that, on average, players would expect to lose $0.75 per game.

Step-by-step explanation:

Expected Value = (Probability of Winning * Payout for Win) - Cost of Playing

In this case:

Probability of Winning = 0.05

Payout for Win = $5

Cost of Playing = $1

Expected Value = (0.05 * $5) - $1

Expected Value = $0.25 - $1

Expected Value = -$0.75

Answer: Total expenses if 3 widgets are produced is $11,018.00

Step-by-step explanation: The variable cost per unit is given by the coefficient of q in the expense function. In this case, the variable cost is $6.00 per widget. To find the variable costs to produce 2 widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for 2 widgets = 2 x $6.00 = $12.00 Therefore, the variable costs to produce 2 widgets is $12.00. To find the variable costs to produce q widgets, we simply multiply the variable cost per unit by the number of units produced: Variable costs for q widgets = q x $6.00 = $6q Therefore, the variable costs to produce q widgets is $6q. To find the total expenses if 3 widgets are produced, we can use the expense function and substitute q = 3:E = 6.00 q + 11,000

E = 6.00 (3) + 11,000

E = 18.00 + 11,000

E = 11,018.00 Therefore, the total expenses if 3 widgets are produced is $11,018.00.

Answer:

D. Bank charges a large fee for bouncing a check is not an example of overdraft protection.

Step-by-step explanation:

Overdraft protection is a service offered by banks that allows you to link your checking account to another account, such as a savings account or a line of credit. If you overdraw your checking account, the bank will automatically transfer funds from the linked account to cover the shortfall, which helps you avoid overdraft fees and other penalties.

Option A is not an example of overdraft protection as it refers to earning interest on money in your savings account, which is a separate service.

Option B refers to additional fees collected by the bank when you bounce a check, which is a penalty for not having sufficient funds in your account to cover the check.

Option C refers to an ATM machine providing you with cash, which is a basic function of an ATM and is not related to overdraft protection.

The answers are 4. a) 15.7 cm, b) 26.25 m, 5. a) 128.74 cm, b) 40.82 mm, c) 45 cm and 6. 777.28 cm

Given are the circles and the circular items we need to find their circumference,

Circumference of a circle = 2π × radius = Diameter × π

4. a) Circumference = 5 × 3.14 = 15.7 cm

b) Circumference = 8.36 × 3.14 = 26.25 m

5. a) Circumference = 41 × 3.14 = 128.74 cm

b) Circumference = 13 × 3.14 = 40.82 mm

c) Circumference = 14.3 × 3.14 = 45 cm

6.

The perimeter of the cloth = circumference of the circular ends plus length in the middle,

= 76 × 2 × 3.14 + 150 × 2

= 477.28 + 300

= 777.28 cm

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Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

a) 0.19

b) 0.9689

c) ≈ 6 cars

Step-by-step explanation:

Rate at which cars arrive = 12 cars/hour = 1/5 cars/minute

time needed by each car to complete ATM transaction = 6 minutes = 1/6 car/minute

capacity of lane = 10 car

n = 10

a) Calculate the probability of an arriving not using the ATM because the line is full

p ( not using the ATM ) = 0.19

b) probability that a car will not be able to use the ATM machine immediately on arrival

P ( n > 0 ) = 1 - Po

                 = 1 - 0.0311 = 0.9689

c) Average number of cars in the lane

Lq = 5.74 ≈ 6 cars

attached below is the detailed solution

As per the concept of transformation, there is a single rigid motion that would map triangle WXY to triangle W"X"Y"' is reflection.

Single rigid motion:

Basically, the single rigid motions are also called congruence transformations. Translations, reflections, rotations, and glide reflections are rigid motions.

Given,

Here we have the graph.

And we need to find is there a single rigid motion that would map triangle WXY to triangle W"X"Y"'.

While we looking into the graph, we have identified that, the image of the triangle is moved from one position to another position.

Here we need to identify the Single rigid motion that would map triangle WXY to triangle W"X"Y"',

For that, we have to carefully looking on the image,

So, we have identified that the triangle X"Y"Z" is the mirror reflection of the triangle XYZ.

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The equation 6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31 has no solution for the variable x.

Given the equation in the question:

6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31

To solve the equation 6(3x + 4) + 2(2x + 2) + 2 = 22x + 31 for the variable x, we will simplify and solve for x.

Apply distributive property:

6 × 3x + 6 × 4 + 2 × 2x + 2 × 2 + 2 = 22x + 31

18x + 24 + 4x + 4 + 2 = 22x + 31

Collect and combine like terms on both sides:

22x + 30 = 22x + 31

Next, we want to isolate the variable x on one side.

22x - 22x + 30 = 22x - 22x + 31

30 = 31

However, we notice that the x terms cancel out when subtracted:

30 ≠ 31

This means that there is no solution.

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Answer:

30

Step-by-step explanation:

f(3)=(2x+4)(3x-6)

f(3)=(2(3)+4)(3(3)-6)

f(3)=(10)(3)

f(3)=30

Answer:

cook

Step-by-step explanation:

Angle 4 is an exterior angle which is equal to the sum of the two opposite inside angles.

The two opposite inside angles are given as 51 and 51

Angle 3 = 51 + 51 = 102 degrees.

Answer:

\( \displaystyle \angle4 = {108}^{ \circ} \)

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

thus our equation is

\( \displaystyle {51}^{ \circ} + {51}^{ \circ} + \angle2 = {180}^{ \circ} \)

simplify addition:

\( \displaystyle {102}^{ \circ} + \angle2 = {180}^{ \circ} \)

cancel 102° from both sides:

\( \displaystyle \angle2 = {72}^{ \circ} \cdots \text{I}\)

By straight line theorem we acquire:

\( \displaystyle \angle4 + \angle2 = {180}^{ \circ} \)

substitute:

\( \displaystyle \angle4 + {72}^{ \circ} = {180}^{ \circ} \)

cancel 72° from both sides:

\( \displaystyle \angle4 = {108}^{ \circ} \)

hence, the measure of \(\angle 4\) is 108°

The table can be complete based on the function given by substituting as:

When s = 0, M(s) = -3

When s = 4, M(s) = 7

When s = 9, M(s) = 12

Given a function,

M(s) = 5√s - 3

Substitute each of the value of s to find the corresponding value of M(s).

When s = 0,

M(s) = 5√0 - 3 = 0 - 3 = -3

When s = 4,

M(s) = 5√4 - 3 = 10 - 3 = 7

When s = 9,

M(s) = 5√9 - 3 = 15 - 3 = 12

Hence the blank spaces are -3, 7 and 12.

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If Triangle SRTs angle R is 59° angle T is 79°  the length of ST to the nearest 10th of a yard is 6.1

Since we have given that

ΔSRT is a triangle with measures :

SR = 7 yd

∠T = 79°

∠R = 59°

We need to find the side ST .

To find the length of ST, we can use the Law of Sines, which states:

sin(T) / SR = sin(R) / ST

sin(79°) / 7 = sin(59°) / ST

0.14 = sin(59°) / ST

ST =  sin(59°)/0.14 ⇒ 0.8572 / 0.14 ≈ 6.1229

Therefore, the length of ST is approximately 6.1 yards to the nearest tenth of a yard

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Answer:

option A sounds like a better deal if that's what your asking.

In the given situation if the variance of the data values in a population is 441, the standard deviation of the data values is (B) 21.

The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean.

A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

The variance's square root is the standard deviation of the data values:

S = √V = √441 = 21

Therefore, in the given situation if the variance of the data values in a population is 441, the standard deviation of the data values is (B) 21.

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Answer:

We need to put x = -4 where the question mark lies.

Step-by-step explanation:

Given the expression

\(\left(x^6\right)^0=x^4\cdot \:\:x^?\)

First, solve the left-hand side of the equation

\(\left(x^6\right)^0\)

\(\mathrm{Apply\:exponent\:rule}:\quad \:a^0=1,\:\quad \:a\ne \:0\)

Thus, the expression becomes

\(\left(x^6\right)^0=1\)

So we have to put the number which can make the right-hand side of the equation equal to 1.

Let's put x = 4 where the question mark lies and solve the equation to check whether the right-hand side of the equation becomes 1.

\(x^4\cdot \:\:x^{-4}\)

\(\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\)

\(=x^{4-4}\)

\(=x^0\)

\(\mathrm{Apply\:exponent\:rule}:\quad \:a^0=1,\:\quad \:a\ne \:0\)

\(=1\)

Thus, both equations become equal when we put x = -4 on the question mark.

\(\left(x^6\right)^0=x^4\cdot \:\:x^{-4}\)

\(1=1\)

Therefore, we need to put x = -4 where the question mark lies.

Answer:

The volume of the jewelry box will be given by,

\(\text{Volume}=\text{l}\times \text{w}\times\text{h}\)

Step-by-step explanation:

It is provided that, Jasmine found a wooden jewelry box shaped like a right rectangular prism.

Consider the diagram below for the shape of a right rectangular prism.

The volume of a right rectangular prism is given by the formula:

\(\text{Volume}=\text{l}\times \text{w}\times\text{h}\)

Here,

l = length of the rectangle

w = width of the rectangle

h = height of the rectangular prism

Thus, the volume of the jewelry box will be given by,

\(\text{Volume}=\text{l}\times \text{w}\times\text{h}\)

Answer:

In the given problem, since it was stated that the dimension of the right rectangular prism is 8 by 6 by 14 cm. To solve the problem, you can use the formula for finding the volume. Therefore, the volume of the jewelry box is 672 cubic cm.

Let's begin by listing out the information given to us:

Tween refers to a child aged 10-14 years

The difference between a tween (y) and a child aged 3-5 years (x) is 610 minutes

How much screen time does the average tween (y) have is gotten by making y the subject of the equation. We have:

The screen time of the average tween is y = 610 + x

The amount in 9 years is $8030.97

The given parameters are:

Principal = $5,000

Rate = 5.3%

Number of times, n = 4 times i.e quarterly

TIme, t = 9 years

The amount of the investment can be calculated using

Amount = P * (1 + r/n)^nt

So, we have

Amount = 5000* (1 + (5.3%)/4)^(4 * 9)

Evaluate

Amount = 8030.97

Hence, the amount is $8030.97

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