What is the y-intercept of the graph?

Answer:

a) I donot agree with him because as we see the sequence nicely we will find an interval of 8 between any two terms and 32 and 33 don't match them

Step-by-step explanation:

b) and c) Solution:

Given,

First term (a) = 4

Common difference (d) = 12-4 = 8

Now,

Since, they are in A.P.

nth term = a + (n-1)d

              = 4 + 8(n-1)

              = 4 + 8n-8

              = 8n-4

Again,

1st method for c)

100th term = a + 99d = 4 + 99*8 = 4 + 792 = 796

200th term = a + 199d = 4 + 199*8 = 4 + 1592 = 1596

2nd method for c)

100th term = 8*100 - 4 = 800 - 4 = 796

200th term = 8*200 - 4 = 1600 - 4 = 1596

Answer:

I think B .......................................

Answer:

Solution given:Angle JKL and angle MKQ are complementary angles. The measure of angle JKL is twice the measure of angle MKQ

<JKL=2<MKQ

we have

<JKl+<MKQ=90°[complementary]

2<MKQ+<MKQ=90°

3<MKQ=90°

<MKQ=90°/3=30°

and <JkL=2×<MKQ=2×30°=60°

Answer:

-3.3125[tex]\frac{-10.125-(-3.5)}{4-2} =\frac{-6.625}{2} = -3.3125[/tex]

Step-by-step explanation:

Average rate of change is the slope between two points.

Slope getween points  [tex]\left(x_1,\,y_1\right)[/tex]  and  [tex]\left(x_2,\,y_2\right)[/tex]  is  [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

Using the points (2, -3.5) and (4, -10.125), the slope is

Answer:

A = 5 units²

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂

d₁ = x + 4 = 1 + 4 = 5

d₂ = 2y - 4 = 2(3) - 4 = 6 - 4 = 2 , then

A = [tex]\frac{1}{2}[/tex] × 5 × 2 = 5 units²

Answer:

A= 5m

Step-by-step explanation:

The equation to find the area of a rhombus, when knowing the diagonals, is:

To solve this, we have to find first d1 and d2, which are marked in a parenthesis:

d1= 5m. Now, let's find d2:

Knowing the values of both diameters, we can solve the equation for the area:

The area of the rhombus is 5 meters.

Hope it helps!!

Answer:

Step-by-step explanation:

Question 3 Reflects over x acis

Question 5 reflects over y axis

Answer:

i think 3 is reflected across the x and 5 is reflected across the y axis

Answer:

1 and 0

Step-by-step explanation:

Let's call the smaller number x and the larger number y.

This means 5y+2x=5.

Also, 4y-x=4.

This is a system of equations. There are two main ways two solve this.

Method 1: Substitution

5y+2x=5

4y-x=4

Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.

I will take 4y-x=4 and solve for x.

4y=4+x

x=4y-4

Then substitute for x in the other equation and solve for y.

5y+2x=5

5y+2(4y-4)=5

5y+8y-8=5

13y=13

y=1

Now we can go back to our equation for x and substitute for y.

x=4y-4

x=4(1)-4=0

y, the larger number, is 1 and

x, the smaller number, is 0

Method 2: Elimination

5y+2x=5

4y-x=4

Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.

If I multiply both sides of the second equation, 4y-x=4, by 2, the coefficient of x will become -2. In the first equation, the coefficient is 2, so they will become opposites.

4y-x=4

becomes

8y-2x=8

Now we have 5y+2x=5 and 8y-2x=8.

Add the sides of both equations to cancel the x values.

5y+2x+8y-2x=5+8

13y=13

y=1

like last time, we can substitute for y in any of the original equations to get x.

5y+2x=5

5(1)+2x=5

5+2x=5

2x=0

x=0

y, the larger number, is 1 and

x, the smaller number, is 0

Answer:

18 days later.

Step-by-step explanation:

Rick would have gone to the supermarket twice, and Natalie would have gone three times.

Answer:

14

Step-by-step explanation:

42=3p

42/3=3p/3

14=p

Answer:

a) no solution

Step-by-step explanation:

there is no solution because absolute values can never equal a negative

Answer:

Part A

aₙ = 5 + (n - 1)·4

Part B

y = 4·x + 1

Step-by-step explanation:

Part A

The number of orange blocks in Figure 1 = 5

The number of orange blocks in Figure 2 = 9

The number of orange blocks in Figure 3 = 13

Therefore, we get;

5, 9, 13, ... with increments of 4

The first term, a = 5

The common difference, d = 4

The sequence is in the form of an Arithmetic Progression, therefore, we have;

aₙ = 5 + (n - 1)·4

Where;

n = The Figure number

When n = 3, we have;

a₃ = 5 + (3 - 1) × 4 = 12 orange blocks as in the diagram in the question

Part B

To express the number of blocks using the linear function, y = m·x + b, we have;

Let 'x', represent the number of each figure, let 'y' represent the total number of blocks in each figure, let 'd' represent the initial amount of blocks present when x = 0, and let 'm' represent the rate of  change of 'y' with each change in 'x'

We note that the rate of change the total number of blocks for each increase in figure number is 4, therefore, we have;

The rate of change, m = 4

∴ y = 4·x + d

When x = 1, y = 5, we get;

5 = 4 × 1 + d

∴ d = 5 - 4 = 1

d = 1

The linear equation that gives the number of blocks is therefore;

y = 4·x + 1.

Answer:

3.

Step-by-step explanation:

X+2=-1/4(4x-8)

x+2=-x+2

0=0

Answer:

C. 103/1/8

Step-by-step explanation:

Answer:

100÷(20÷5)

Step-by-step explanation:

first find out how many chairs each worker made

20÷5=4

then divide 100 by 4 and that will give you 25

they would need 25 workers the equation that they should use is

100÷(20÷5)

Answer:

$45

y = 45x + 15

Step-by-step explanation:

Given :

Days Total Cost

(d) (C)

2. $105

4 $195

6 $285

10 $465

The daily rate is the slope :

Slope = Rise / Run

Slope = (y2 - y1) / (x2 - x1)

Slope = (465 - 105) / (10 - 2)

Slope = 360 / 8

Slope = 45

Daily rate = $45

Using the slope intercept relation :

y = mx + c

m = slope, c = intercept

105 = 45x + c

105 = 45(2) + c

105 = 90 + c

105 - 90 = c

15 = c

Pricing plan :

y = 45x + 15

Answer is 45 because if you divide 90/2 it equal 45

C=45d+15

Answer:

B: 0.75

Step-by-step explanation:

Edge

Answer:

.75

Step-by-step explanation:

Unit Test

Answer:

$405

Step-by-step explanation:

This is a proportion problem!

Build fractions that have euros on top and dollars on the bottom (or the other way around, you decide, but make it the same in both fractions).

Let's do euros over dollars.

Setup:

[tex]\frac{200}{270}=\frac{300}{d}[/tex]

"Cross multiply."

[tex]200d=300\times 270\\\\200d=81000\\\\d=\frac{81000}{200}=405[/tex]

Answer:

25 miles

Step-by-step explanation:

At 1 p.m. the maximum travel distance is reached.  This is 25 miles.

Answer:

[tex](a)\ t = -2.146[/tex]

The null hypothesis is rejected

[tex](b)\ t = 2.014[/tex]

The null hypothesis is accepted

[tex](c)\ t = 2.128[/tex]

The null hypothesis is accepted

[tex](d)\ t = -2.146[/tex]

The null hypothesis is rejected

Step-by-step explanation:

Given

[Missing from the question]

[tex]\alpha = -1.001[/tex] --- critical value

Left tailed test

Required

State what the standardized test statistics indicates

Since it is a left-tailed test, the null hypothesis will be rejected if the standardized test statistics less than or equal to the critical value

Using the above rule, we have:

[tex](a)\ t = -2.146[/tex]

Compare t and [tex]\alpha[/tex]

[tex]-2.146 < -1.001[/tex]

The null hypothesis is rejected

[tex](b)\ t = 2.014[/tex]

Compare t and [tex]\alpha[/tex]

[tex]2.014> -1.001[/tex]

The null hypothesis is accepted

[tex](c)\ t = 2.128[/tex]

Compare t and [tex]\alpha[/tex]

[tex]2.128> -1.001[/tex]

The null hypothesis is accepted

[tex](d)\ t = -2.146[/tex]

Compare t and [tex]\alpha[/tex]

[tex]-2.146 < -1.001[/tex]

The null hypothesis is rejected

Answer:

C

Step-by-step explanation:

i am smart

Answer:

A. because its a short sentence but also asking people who read the story if they relate which means they are gonna want to know what the book is about if they babysat before

Step-by-step explanation:

In the image provided by you, it is asked that, what percentage of the individuals rode the Ferris Wheel and not the roller coaster?

Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =[tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]

Substituting the values given in the formula, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{28 }{112} [/tex]

Calculating further, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} [/tex]

Now, to convert any fraction into percentage, We multiply it by 100, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} \times 100 [/tex]

Calculating further, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \bf 25\% [/tex]

Answer:

the answer is (0,-1)

Step-by-step explanation:

The Midpoint of G(1,3) and H(2,1)= (3/2, 2)

The midpoint of J(-1,-5) and K(-2,-3)= (-3/2, -4)

The midpoint of both (3/2 ,2) and (-3/2, -4)= (0,-1)

Answer:

cos θ = [tex]\frac{\sqrt{11} }{6}[/tex]

Step-by-step explanation:

Substitute sin θ = [tex]\frac{5}{6}[/tex] into the identity

( [tex]\frac{5}{6}[/tex] )² + (cos θ )² = 1

[tex]\frac{25}{36}[/tex] + (cos θ )² = 1

(cos θ )² = 1 - [tex]\frac{25}{36}[/tex] = [tex]\frac{11}{36}[/tex] ( take the square root of both sides )

cos θ = [tex]\sqrt{\frac{11}{36} }[/tex] = [tex]\frac{\sqrt{11} }{6}[/tex]

Answer: Warsaw

Step-by-step explanation:

Warsaw is the capital and largest city of Poland. It is located on the Vistula River, in east-central Poland, roughly 260 kilometres from the Baltic Sea and 300 kilometres from the Carpathian Mountains.