Triangle ABC was dilated and translated to form similar triangle A'B'C'.

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (0, 2), (2, 2), and (2, 0). Triangle A prime B prime C prime has points (negative 4, negative 1), (1, negative 1), and (1, negative 6).

What is the scale factor of the dilation?

One-fifth
Two-fifths
Five-halves
5

Solution,

42+7x+12x-8

Combine like terms,

= 7x+12x+42-8

Simplify

=19x+34

hope it helps

Good luck on your assignment

Answer:

36+19x

Step-by-step explanation:

Ok, first, combine like terms, so the two values with X.

42 + 7x + 12x – 8

42 +19x – 8

Now, we combine the two values that have no X

42+19x– 8  Imagine there is a plus sign in front of the 42 because it's positive.

So 42-8=36

36+19x

That's your solution, that's the most this can be simplified.

Answer:

  [-4, 9]

Step-by-step explanation:

The range is the vertical extent of the relation.

__

The minimum value of g is marked by the solid dot at (x, y) = (4, -4). That minimum is -4.

The maximum value of g is the peak at (x, y) = (-2, 9). That maximum is 9.

The function is continuous between these values, so the range includes all values between -4 and +9, inclusive.

  range: [-4, 9]

Answer:

Step-by-step explanation:

range: [-4, 9]

Answer:

The answer is A.

Step-by-step explanation:

First, recall the vertex form of a quadratic equation: [tex]f(x)=a(x-h)^2+k[/tex], where [tex]h[/tex] represents the horizontal change and [tex]k[/tex] represents the vertical change.

The original equation is [tex]g(x)=x^2[/tex], or, in other words, [tex]g(x)=1(x-0)^2+0[/tex].

We are told that the graph is shifted up 3 and right 1. Thus, both values are positive (right and up). Note that up 3 corresponds to a positive vertical change of 3 while right 1 represents a positive horizontal change of 1.

Thus, put these back into the equation in place of [tex]h[/tex] and [tex]k[/tex].

We have:

[tex]f(x)=1(x-(+1))^2+(+3)[/tex]

Or, simplified:

[tex]f(x)=(x-1)^2+3[/tex]

The answer is A.

Answer:

C = 10π

Step-by-step explanation:

C = Dπ

D = 10

C = 10π

Answer:

see below

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

C = 10 pi m

We can approximate pi by 3.14

C = 3.14 * 10

C =31.4m

or we can approximate pi by using the pi button

C =31.41592654m

Answer:

~10.8 (ft)

Step-by-step explanation:

Apply the Pythagorean theorem, you can work out the measure of diagonal.

[tex]Diagonal = \sqrt{9^{2}+6^{2} } =\sqrt{81 + 36} =\sqrt{117} =~10.8(ft)[/tex]

The measure of the diagonal of a rectangle is 10.8 feet.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, a rectangle measures 9 feet by 6 feet.

Let the length of diagonal be x.

x²=9²+6²

x²=81+36

x²=117

x=√117

x=10.8 feet

Therefore, the measure of the diagonal of a rectangle is 10.8 feet.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ3

Answer:

50 km

Step-by-step explanation:

As the figures are given similar ,

56/v = 84/75

v = 56 × 75/84

v = 50 km

Answer:

v = 50

Step-by-step explanation:

The trapezoids are similar, so set up a proportion like so:

[tex]\frac{56}{v} =\frac{84}{75}[/tex]

→Cross multiply:

[tex]\frac{4200}{84v}[/tex]

→Divide 4200 by 84:

v = 50

Solution,

radius=21 cm

Circumference of circle=2 pi r

=2*3.142*21

=131.964 cm

hope it helps

Good luck on your assignment

Answer:

63.2 = y

Step-by-step explanation:

The perimeter is the sum of all the sides

P = 7.8+ y+37.6 + y

171.8 = 7.8+ y+37.6 + y

Combine like terms

171.8 = 45.4 + 2y

Subtract 45.4 from both sides

171.8-45.4 = 45.4 + 2y -45.4

126.4 = 2y

Divide each side by 2

126.4/2 = 2y/2

63.2 = y

Answer:

52

Step-by-step explanation:

24+28 = 52

52 - 24 = 28

Answer:

D

Step-by-step explanation:

Answer:

a. lts diameter = 13.540550005146 cm

b. Its circumference​ = 42.538892421732 cm

Step-by-step explanation:

suppose A the area ; d the Diameter ; P the circumference and r the radius

A = πr²

P = d×r = 2πr

then

r² = A/π = 144÷π = 45.836623610466

then

→ r = √(45.836623610466) = 6.770275002573

d = 6.770275002573×2 = 13.540550005146

→ P = 13,.540550005146×π = 42.538892421732

Answer:

Step-by-step explanation:

Hello!

The objective is to test if the population mean of three-circle red-on-white sheds is equal to the four excavation sites.

To compare the population means you have to apply an ANOVA. For this test the variable of interest is

X: number of  three-circle red-on-white sheds.

There is only one factor: "Site" with four treatments "I, II, III; IV"

H₀: μ₁= μ₂= μ₃= μ₄

H₁: At least one population mean is different.

α: 0.05

[tex]F= \frac{MS_{Treatment}}{MS_{Error}} ~~F_{K-1;N-K}[/tex]

Df treatments: k-1= 4-1= 3 (k= nº of treatments)

Df errors: N-K= 21-4= 17 (N= total observations for all treatments)

[tex]F_{H_0}= \frac{102.72}{117.08}= 0.88[/tex]

p-value: 0.4723

Using the p-value approach the decision rule is:

p-value ≤ α, reject the null hypothesis.

p-value > α, do not reject the null hypothesis.

The p-value is greater than the level of significance, the decision is to reject the null hypothesis.

Using a 5% significance level, there is not significant evidence to reject the null hypothesis. Then you can conclude that the population mean three-circle red-on-white sherd count is equal to all the excavation sites.

I hope this helps!

Answer:

$80 for 1 pair of shoes

divide $960 by 12

Answer:

  (-2, 5)

Step-by-step explanation:

The form you're trying to match is the vertex form of the equation of a parabola:

  y = a(x -h)^2 +k . . . . . . . vertex (h, k)

You have ...

  y = -4(x +2)^2 +5

Comparing forms, you see that a=-4, h=-2, k=5.

Then the vertex (h, k) is (-2, 5).

Answer:

calculate the area of a square using the length * width formula, and then add the areas of the other triangles, of which you can calculate by using the base * height formula

Step-by-step explanation:

Answer:

Multiply the side length of the base by the slant height and divide by two. Then, multiply by 4. This will give you the lateral surface area of the pyramid.Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Since TV bisects (equally divides) EF hence <EKT = 90°

Also <EKT = 5x+65

So

5x+65 = 90

5x = 90-65

5x = 25

Dividing both sides by 5

x = 5

Answer:

a) The observed proportion of wallets that were returned

  p = 0.45625

b) 95% of confidence intervals for Population proportion

 0.40168  , 0.51082)

c) The lower bound of the 95% confidence interval = 0.40168

d) The upper bound of the 95% confidence interval = 0.51082

Step-by-step explanation:

Step(i):-

a)

Given data the  researchers left a total of 320 wallets around Edinburgh, as though the wallets were lost. Each contained contact information including an address. Of the wallets, 146 were returned by the people who found them

Given sample size 'n' = 320

  Given data          'x ' = 146

Sample proportion

              [tex]p = \frac{x}{n}[/tex]

             [tex]p = \frac{x}{n} = \frac{146}{320} = 0.45625[/tex]

Step(ii):-

b) 95% of confidence intervals for Population proportion

Level of significance = 95% or 0.05%

[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96[/tex]

95% of confidence intervals for Population proportion are determined by

[tex](p - Z_{0.025} \frac{\sqrt{p(1-p)} }{\sqrt{n} } , p + Z_{0.025} \frac{\sqrt{p(1-p)} }{\sqrt{n} })[/tex]

[tex](0.45625 - 1.96\frac{\sqrt{0.45625(1-0.45625)} }{\sqrt{320} } , 0.45625 + 1.96\frac{\sqrt{0.45625(1-0.45625)} }{\sqrt{320} })[/tex]

(0.45625 - 0.05457 , 0.45625 + 0.05457)

(   0.40168  , 0.51082)

c) The lower bound of the 95% confidence interval = 0.40168

d) The upper bound of the 95% confidence interval = 0.51082

Answer:

0.89

Step-by-step explanation:

First, let’s find out what one tomato costs. To do this, we need to find the unit rate.

To find the unit rate, divide the cost by the number of tomatoes.

cost/number of tomatoes

It costs $3.55 for 24 tomatoes.

cost=3.55

number of tomatoes=24

Substitute these values in.

3.55/24

0.147916666666667

Each tomato costs $0.147916666666667

Now, we have to find out what 6 tomatoes cost.

Multiply the number of tomatoes by the cost of one tomato

number of tomatoes * cost of one

number of tomatoes=6

cost of one= 0.147916666666667

Substitute these values in.

6* 0.147916666666667

0.8875

Round to the nearest cent or hundredth.

The 7 in the thousandth place tells us to round the 8 in the hundredth place up to a 9.

0.89

6 tomatoes will cost about 0.89.

Answer:

volume= 5,184 cubic inches

Step-by-step explanation:

Answer:

[tex] 1.3038 \times {10}^{2} [/tex]

Step-by-step explanation:

[tex] (12.3\times 10^8) (1.06\times 10^{-7})\\ = 12.3 \times 1.06 \times {10}^{8} \times {10}^{ - 7} \\ = 13.038 \times {10}^{8 - 7} \\ = 13.038 \times {10}^{1} \\ = 1.3038 \times {10}^{2} [/tex]

Answer:

[tex]1,3038 . 10^{2}[/tex]

Step-by-step explanation:

(12.3 × 10^8)(1.06 × 10^−7)

12.3 × 10^8 × 1.06 × 10^−7

12.3 × 1.06 × 10^8  × 10^−7

10^8  × 10^−7 = 10^(8 -7) = 10^1

12.3 × 1.06 × 10^8  × 10^−7 = 12.3 × 1.06 × 10^1

12.3 × 1.06 =13.038

13.038  × 10^1 = 1,3038  × 10^2

Hope this helps ^-^

Answer:

1.  D) 75 inches

2. A)  27 square feet

Step-by-step explanation:

1.  You need to convert 6 feet to inches.  In one foot, there are 12 inches.  Multiply 6 by 12 to find the number of inches in 6 feet.  Add 3 inches to the product to find the total number of inches.

6 × 12 = 72

72 + 3 = 75

You will have 75 inches in total.

2.  Use the formula to solve.  You are given the base and the height already.  Simply plug in and solve.

A = 1/2BH

A = 1/2(6)(9)

A = 3(9)

A = 27 ft²

The area is 27 ft².

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

At the point (0, 1,0) t = 0

Find the tangent vector:

[tex]\frac{dx}{dt}= 1[/tex]

[tex]\frac{dy}{dt}= -4e^{-4t}[/tex]

[tex]\frac{dz}{dt}=5-5t^4[/tex]

The tangent vector for all points [tex]\vec v(t)[/tex] is

[tex]\vec v(t) = \hat {i}-4e^{-4t}\hat{j}+(5-5t^4)\hat{k}[/tex]

[tex]\rightarrow \vec v (0)= \hat{i}-4\hat{j}[/tex]

The vector equation of the tangent line is

[tex](x,y,z) = (0,1,0)+s(\hat{i}-4\hat{j})[/tex]

The parametric equation for this line are

[tex]x= s[/tex]

[tex]y=1-4s[/tex]

[tex]z=0[/tex]

Parametric equations for the tangent line to the curve with the given parametric equations at the specified point are

x=s

y=1-4s

z=0

In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters.

At the point (0, 1,0) t = 0

Find the tangent vector:

[tex]\dfrac{dx}{dt}=1[/tex]

[tex]\dfrac{dy}{dt}=-4e^{-4t}[/tex]

[tex]\dfrac{dz}{dt}=5-5t^4[/tex]

The tangent vector for all points  is

[tex]v(t)=i-4e^{-4t}j+(5-5t^4)k[/tex]

[tex]v(0)=i-4j[/tex]

The vector equation of the tangent line is

[tex](x,y,z)=(0,1,0)+s(i-4j)[/tex]

The parametric equation for this line is

[tex]x=s\\\\y=1-4s\\\\z=0[/tex]

To know more about parametric equations follow

https://brainly.com/question/51019

Answer:

BC = 67

Step-by-step explanation:

Since both tangents are originating from a single point, they are equal, rest in the attached file

Answer:

66.67% probability that all selected components function properly

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the components are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Desired outcomes:

2 components which function properly, from a set of 5. So

[tex]D = C_{5,2} = \frac{5!}{2!(5-2)!} = 10[/tex]

Total outcomes:

2 components, from a set of 6. So

[tex]T = C_{6,2} = \frac{6!}{2!(6-2)!} = 15[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{10}{15} = 0.6667[/tex]

66.67% probability that all selected components function properly

Answer: Rectangular pyramid

Step-by-step explanation:

When you think about it, a pyramid has 3 faces that are triangular!

If you found this answer helpful, give it a five-star rating and a thanks! I would really appreciate it!

You can even give it a brainliest if you want! ;)

Answer:

6 ≤ b.

(6).

Step-by-step explanation:

So, we are given in the question that the amount that Myra wants to say is $500 at the end of her summer vacation and she has saved up to $350. Thus, it remain ($500 - $350 = $150) for completion.

Also, "She can earn $25 cutting a lawn in her neighborhood."

Therefore, the total amount of money she wants to save = a = 500. Then,

Total amount of money, a = 350 + 25b.

500 = 350 + 25b.

=> 500 ≤ 350 + 25b.

Note that the ' =' sign has changed to '≤' sign since she wants that amount(at least). Also, the question specified that she used inequality.

Hence, the amount remaining for it to complete is $150. Therefore;

150 ≤ 25b.

6 ≤ b.

Thus, Myra will have to mow at least 6 lawns

Answer:

6

Step-by-step explanation:

Took the quiz on edge!

Complete question:

Calculate each probability given that P(A) = 0.2, P(B) = 0.8, and A & B are independent.

a) compute P(A and B)

b) If P(A|B) = 0.7, compute P(A and B).

Answer:

(a) P(A and B) = 0.16

(b) P(A and B) = 0.56

Step-by-step explanation:

Two events are independent if occurrence of one event does not affect possibility of occurrence of another.

(a) if A and B are independent, then P(A and B) = P(A) x P(B)

                                                                               = 0.2 x 0.8

                                                                               = 0.16

(b)  If P(A|B) = 0.7, compute P(A and B)

Considering the notations of independent events,

[tex]P(A/B) = P(A)\\\\\frac{P(A \ and \ B)}{P(B)} = P(A)\\\\Thus, P(A/B) = \frac{P(A \ and \ B)}{P(B)}\\\\P(A \ and \ B) = P(A/B) *P(B)[/tex]

                     = 0.7 x 0.8

                     = 0.56

Answer:

Problem: 3x/5x + 5 ≤ 8 + 2x

Solution: x ≥ -15/7

Step-by-step explanation:

Example of this inequality is:

3x/5x + 5 ≤ 8 + 2x

3x/5x - 2x ≤ 8 - 5

(3x - 10x)/5 ≤ 3

-7x ≤ 15

x ≥ -15/7