1. What must be true in order for triangles DEF and ABC to be similar? Be very specific about the
properties of the angles and sides of these two triangles.
с
F
A
B
D
E

The total price of 4 pounds of apples this week at the grocery store is $5.76

Total price of apples this week = Last week price of apples per pound × Quantity of apples

= $1.60 × 4

= $6.4

Actual price paid = Total price of apples this week - (Discount × Total price of apples this week)

= $6.4 - (10% × $6.4)

= 6.4 - (0.1 × 6.4)

= 6.4 - 0.64

= $5.76

In conclusion, 4 pounds of apples cost $5.76 this week at the grocery store.

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I'm not sure what you are asking, but the diamond ring would be 30% off and the ruby ring would be 30% off. 868 is 70% of 1240 and 217 is 70% of 310. This means that 30% has been discounted, which is the remaining of the 100%.

Answer:

36 and 24

Step-by-step explanation:

You can use the ratio given to you to help find your answer

We know the ratio has to be 3:2

And both numbers LCM is 12

So lets start with multiples 12 becuase we know it’s a guaranteed LCM of 12.

so So 12 can’t work becuase there is already a 2 in the ratio and 12 has to go in the number 2 times and 12 only goes into 12 once

24 works since 12 goes into 24 twice

Now for the “3” Ratio

We know 12 can’t work since it goes in once

24 won’t work cuase it goes in twice

36 works

So its 36 and 24

We can check

The lcm of 36 and 24 is 12

And when you simplify them

you get 3:2

Becuase since the LCM is 12

36/12=3

24/12=2

3:2

And we know it’s lcm becuase we can’t simplify it anymore

Answer:

not sure but i think c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

slope is rise over run

-2/1

= -2

Answer:

-2

Step-by-step explanation:

Slope is rise over run  -2/1

Answer:

x = 48

Step-by-step explanation:

Multiply both sides by 6

x = 6 * 8

x = 48

Check:

48/6 = 8

8 = 8

Answer:

\( \frac{x}{6} = 8 \\ \\ x = 8 \times 6 \\ \\ x = 48\)

A = x·(350 - 2x)

Therefore we get quadratic function:

A(x) = -2x² + 350x

where x = h is one of the dimensions and k = A(h) is the largest area

\(h=\dfrac{-b}{2a}=\dfrac{-350}{2\cdot(-2)}=87.5\ m\)

250-2x = 350 - 2·87.5 = 350 - 175 = 175 m

\(A(h)=-2(87.5)^2+350\cdot87.5=15312.5+30450=45762.5\ m^2\)

Answer:

associative

Step-by-step explanation:

Answer:

A function is a relation that maps elements from one set (the domain, the set of the inputs) into elements from another set (the range, the set of the outputs). Such that each element of the domain can be mapped into only one element of the range.

Now let's analyze the given relations.

1)

Here we can see that the inputs are -3, -1, 1, and 2.

Then the domain (the set of the inputs) is:

D = {-3, -1, 1, 2}

And we can see that the outputs are 0, 2, and 5.

Then the range is:

R = {0, 2, 5}

We also can see that each input is being mapped into only one output, then this relation is a function.

2) In this case the inputs are -2, -3, and 5.

Then the domain is:

D = {-2, -3, 5}

And the outputs are 6, 7, 8

Then the range is:

R = {6, 7, 8}

And we can see that each input is mapped into only one output, then this relation is a function.

3) In this case we can see that the inputs are -4, -2, and 0

Then the domain is:

D = {-4, -2, 0}

And we can see that the outputs are -2, -1, 3, and 4.

Then the range is:

R = {-2, -1, 3, 4}

In this case, we can see that the input -4 is being mapped into two different outputs (3 and -1)

Then this relation is not a function.

Answer:

The perimeter is 16 inches.

Step-by-step explanation:

P= l+l+w+w

76=22+22+w+w

76=44+w+w

32=w+w

32=2w

16=w

Answer:

-55

Step-by-step explanation:

The pattern here is subtracting by 2 higher than the previous term.

As you can see

1 -2 = -1

-1 - 4= -5

-5 - 6 = -11

etc.

Continuing until the eighth term gets you   - 41 - 14 = -55

To graph an inequality y ≥ 3x - 1, first graph a line for y = 3x - 1, and then shad  upward on the y-axis, as given the ≥ sign, check the attatchment.

Equations in mathematics are not always balanced on both sides with a "equal to" symbol. It can occasionally refer to a "not equal to" relationship, where one thing is greater than the other or less than.

A relationship that compares two numbers or other mathematical expressions in an unequal way is referred to as an inequality in mathematics. These mathematical expressions are classified as inequalities in the algebraic language.

To say that two things are not equal is to use the word "inequality." A particular thing could be greater than >, less than <, equal to ≤ or less than or equal to or greater than ≥ the other things.

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Answer:

\(\frac{1}{g^{7} }\)

Step-by-step explanation:

\(g^{-1(7)}\)

\(g^{-7}\)

\(\frac{1}{g^{7} }\)

Answer: 12

Step-by-step explanation:

The y-intercept in the equation that is in slope-intercept form is the constant.

Answer:

x^2 - 6x + 25

Step-by-step explanation:

( x + 1 ) ^2 -8( x - 1 ) + 16

undo the square

x^2 + 2x + 1 -8(x - 1) + 16

distribute

x^2 + 2x + 1 -8x + 8 + 16

simplify

x^2 - 6x + 25

Answer:

5a+9b

Step-by-step explanation:

-3a from 8a then add 5b to4b then you get 5a+9b

The proper statistical technique to use in this scenario is "d. Two sample tests for means - independent."

In this study, the goal is to compare the mean ratings between two independent groups: men and women. The data consists of two samples, each representing ratings given by men and women.

To determine if there is sufficient evidence of a difference in mean ratings between the two groups, a two sample test for means - independent is appropriate.

This statistical technique, also known as an independent samples t-test, assesses whether the means of two independent groups are significantly different from each other. It compares the means of the two samples while taking into account the variability within each group.

By conducting this test, we can evaluate if there is a significant difference in the mean program ratings between men and women in the study.

Therefore, to analyze the difference in mean ratings between men and women in the study, the appropriate statistical technique is "d. Two sample tests for means - independent."

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Answer:

if you eat broccoli then you eat vegetable

converse: if you eat vegetables then you eat broccoli

inverse: if you don't eat broccoli then you don't eat vegetables

contrapositive: if you don't eat vegetables then you don't eat broccoli

Step-by-step explanation:

converse: q to p

inverse: not p not q

contrapositive: not q not p

We can represent 0.614 using only 5 tenths as \(\mathbf{\dfrac{6.14}{10}}\)

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

The accepted method for representing both integer and non-integer numbers is the decimal number system.

From the given information, we are to represent 0.614 by using only 5 tenths.

Representing 0.614 in the same form, we have:

\(\mathbf{=\dfrac{0.614\times 1000}{1\times 1000}}\)

\(\mathbf{=\dfrac{614}{1000}}\)

\(\mathbf{=\dfrac{6.14}{10}}\)

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Answer: 6.14/10

Step-by-step explanation:

Answer:

-4 and 4

Step-by-step explanation:

Method 1

Apply Difference of Two Squares Formula: \(a^2-b^2=(a+b)(a-b)\)

Given  \(x^2-16=0\)

Rewrite 16 as 4²

Therefore, \(a^2=x^2\) and \(b^2=4^2\)

\(\implies a = \sqrt{x^2}=x\)

\(\implies b=\sqrt{4^2} =4\)

\(\implies x^2-16^2=(x+4)(x-4)\)

\(\implies (x+4)(x-4)=0\)

\(\implies (x+4)=0 \implies x=-4\)

\(\implies (x-4)=0 \implies x=4\)

Method 2

Given equation:

\(x^2-16=0\)

Add 16 to both sides:

\(\implies x^2-16+16=0 + 16\)

\(\implies x^2=16\)

Square root both sides:

\(\implies \sqrt{x^2}=\sqrt{16}\)

\(\implies x=\pm4\)

Therefore, x = -4, x = 4

These are the computed values of beta and p-value for the given alternative value p = 0.21 and sample sizes.

To compute the beta (β) for the given alternative value p = 0.21 and sample sizes n = 81, 900, 14,400, 40,000, and 90,000, we need to determine the probability of Type II error. Beta is the probability of failing to reject the null hypothesis (H₀) when the alternative hypothesis (Hₐ) is true.

To calculate beta, we need to find the corresponding z-value for the given significance level α = 0.01, which corresponds to a z-value of 2.33 (approximate value).

Using the formula for the standard deviation of the sample proportion:

σ = sqrt((p₀ * (1 - p₀)) / n)

where p₀ is the null hypothesis value, p = 0.2, and n is the sample size.

Then we can calculate the z-score for the alternative value p = 0.21 using the formula:

z = (p - p₀) / σ

Finally, we can compute beta using the standard normal distribution table or a statistical calculator.

Let's calculate beta for the given sample sizes:

For n = 81:

σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447

z = (0.21 - 0.2) / 0.0447 ≈ 0.2494

beta = P(Z > 0.2494) ≈ 0.4013

For n = 900:

σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143

z = (0.21 - 0.2) / 0.0143 ≈ 0.7692

beta = P(Z > 0.7692) ≈ 0.2206

For n = 14,400:

σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071

z = (0.21 - 0.2) / 0.0071 ≈ 1.5493

beta = P(Z > 1.5493) ≈ 0.0606

For n = 40,000:

σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050

z = (0.21 - 0.2) / 0.0050 ≈ 2.2000

beta = P(Z > 2.2000) ≈ 0.0139

For n = 90,000:

σ = sqrt((0.2 * (1 - 0.2)) / 90,000) ≈ 0.0033

z = (0.21 - 0.2) / 0.0033 ≈ 3.0303

beta = P(Z > 3.0303) ≈ 0.0012

Next, let's calculate the p-value for the alternative value P = 0.21 and sample sizes n = 81, 900, 14,400, and 40,000.

The z-score for the given P can be calculated using the formula:

z = (P - p₀) / σ

Using the standard normal distribution table or a statistical calculator, we can find the area under the curve beyond the calculated z-score to obtain the p-value.

For n = 81:

σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447

z = (0.21 - 0.2) / 0.0447 ≈ 0.2494

p-value = P(Z > 0.2494) ≈ 0.4013

For n = 900:

σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143

z = (0.21 - 0.2) / 0.0143 ≈ 0.7692

p-value = P(Z > 0.7692) ≈ 0.2206

For n = 14,400:

σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071

z = (0.21 - 0.2) / 0.0071 ≈ 1.5493

p-value = P(Z > 1.5493) ≈ 0.0606

For n = 40,000:

σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050

z = (0.21 - 0.2) / 0.0050 ≈ 2.2000

p-value = P(Z > 2.2000) ≈ 0.0139

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Answer:

The answer to the question is -16.

Answeryou should get 16 as uyour answer

Step-by-step explanation: i hope it helps :)

plus u have to simplfy if necssary

The volume of the figure is 210 sq. cm.

We know that the formula for the volume of rectangular prism is:

Volume = length × width × height

Here, we can observe that the figure represents the rectangular prism.

The dimensions of the figure are:

length = 6 cm

width = 5 cm

and height = 7 cm

Using above formula of the volume of rectangular prism, the volume of the figure would be,

V = = length × width × height

V = 6 × 5 × 7

V = 210 sq. cm.

Therefore, the required volume is: 210 sq. cm.

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Answer: 78

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches

1. Add the two amounts of rainfall together: 2.45 + 1.72

2. Round the answer to the nearest inch: 4.2 inches

3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.

This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.

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Answer: (4x5) / 10 - 5 = 5

Step-by-step explanation: 20/10 = 10

10-5 = 5

Answer:

i need help on this one aswell

Step-by-step explanation:

noooooooooooo

pls

someone help us on this question

The dοmain οf the functiοn f(x) =  {- 3, - 1, 0 2, 4}. Yes, because for each input there is exactly one output.

Suppοse we have an οrdered pair (x, y) then the dοmain οf the functiοn is the set οf values οf x and the range is the set οf values οf y fοr which x  is defined.

Given, The graph represents a relatiοn where x represents the independent variable and y represents the dependent variable.

The οrdered pairs are given by, (- 3, 4), (- 1, 1), (0, - 2), (2, 0), and (4, - 1).

We knοw the dοmain οf the functiοn are all the x cοοrdinates.

Therefοre, The dοmain οf the functiοn f(x) = {- 3, - 1, 0 2, 4}.

Yes, because for each input there is exactly one output.

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