10. Which of the following describes two
triangles that are similar to one another?

Answer:

64 females

Step-by-step explanation:

4 females:5 males

x females:80 males

Since this is a ratio, 80/5 will get us the number we need to multiply

4*16= 64

The 95% confidence interval for the mean tip percentage is (3.49, 4.22)

Confidence interval is the two-sided limit consisting of the lower limit and the upper limit and the value between the two limits is the parameter value.

For this question, we have given a graph of the data, so we only need to see the data and interpret that to answer the question.

First, since confidence interval is 95% so we must see 2.5% limit for two side or equal to 0.025.

For the lower limit, see upper value of dot plot then see separate lowest 0.025 of data is 3.491 or 3.49.

For the upper limit, see lower value of dot plot then see separate highest 0.025 of data is 4.224 or 4.22.

Thus, the 95% confidence interval is (3.49, 4.22) for the mean tip percentage.

Your question is incomplete, but most probably your full question was (image attached)

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Answer: You would use 7 cups of milk.

Step-by-step explanation:

Half of 14 is 7.

Through the amount of individual in that particular country and the resources available

optimum is achieved when the people are equal to the resources availability in that country

Answer:

yes

Step-by-step explanation:

because it has a dramatic decrease in value

The dimensions of the rectangle will be 16 inches long and 7 inches wide,

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

The length of a rectangular poster is 2 more inches than two times its width. The area of the poster is 112 square inches. Then the equations are given as,

LW = 112           ...1

L = 2W + 2       ...2

From equations 1 and 2, then we have

(2W + 2)W = 112

2W² + 2W - 112 = 0

W² + W - 56 = 0

W² + 8W - 7W - 56 = 0

W(W + 8) - 7(W + 7) = 0

(W + 8)(W - 7) = 0

W = 7, -8

Neglect - 8 because of negative signs. Then the length is given as,

L = 2 x 7 + 2

L = 14 + 2

L = 16

The dimensions of the rectangle will be 16 inches long and 7 inches wide,

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Answer:

a = 3

Step-by-step explanation:

Factorise both expressions\x² - x - 6 = (x - 3)(x + 2)

x² + 3x - 18 = (x - 3)(x + 6)

Thus both expressions have a common factor of (x - 3) , thus

a = 3

The mass in scientific notation is \(5.45 * 10^3 kg\), this means that the mass of the African elephant is 5.45 multiplied by 1000,

To write the mass of the African elephant in scientific notation, we need to express it as a number between 1 and 10, multiplied by a power of 10. To do this, we can start by moving the decimal point in 5450 kg to the left until we have a number between 1 and 10. This gives us 5.45 kg.

Next, we need to determine the power of 10 that we multiplied by to get this number. To do this, we count the number of places we moved the decimal point, which is three places to the left. Therefore, the mass of the African elephant in scientific notation is:

\(5.45 * 10^3 kg\)

This means that the mass of the African elephant is 5.45 multiplied by 1000, which is the same as 5450 kg in standard notation. Writing the mass in scientific notation makes it easier to work with very large or small numbers, as it simplifies the representation of the number and makes it more manageable.

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The probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.

The probability of selecting a Harry Potter DVD at random is dependent on the total number of DVDs and the number of Harry Potter DVDs in the collection. Let's assume there are a total of 100 DVDs and 10 of them are Harry Potter films.

When selecting the first DVD, the probability of picking a Harry Potter film is 10/100 = 1/10.

After selecting the first DVD, there are 99 DVDs left, with 9 Harry Potter films remaining.

When selecting the second DVD, the probability of picking another Harry Potter film, while keeping the first one in hand, is 9/99 = 1/11.

To find the probability of both DVDs being Harry Potter films, we multiply the probabilities: (1/10) * (1/11) = 1/110.

Therefore, the probability that both DVDs will be Harry Potter films is 1/110.

In conclusion, the probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.

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The sequence of the original DNA molecule, read 5' to 3', is 3' CTGTCCTAG 5'.

The Sanger sequencing method is a technique used to determine the nucleotide sequence of DNA. In this method, the DNA molecule is fragmented into different lengths and each fragment is then replicated using DNA polymerase and a mixture of regular nucleotides and dideoxynucleotides (ddNTPs). The ddNTPs lack a 3' hydroxyl group, preventing further DNA chain elongation after their incorporation.

In the given chromatogram, the sequence trace reads 5' GTCACGGATC 3'. The sequence is read in the 5' to 3' direction, which means that the first nucleotide in the sequence corresponds to the 5' end of the original DNA molecule.

To determine the original DNA sequence, we need to complement and reverse the given sequence. The complementary base pairing rules state that adenine (A) pairs with thymine (T) and cytosine (C) pairs with guanine (G). Complementing the sequence gives us 3' CAGTGCCGTA 5'. Reversing this sequence yields the final result of 3' CTGTCCTAG 5', which represents the original DNA sequence read from 5' to 3'.

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\(y > 2x + 1 \\ 3 > 2(1) + 1 \\ 3 > 3 \\ false\)

\(y < - 3x \\ 3 < - 3(1) \\3 < - 3 \\ also \: false\)

Answer:

9.9

Step-by-step explanation:

Answer:

\(\boxed{s=3}\)

Step-by-step explanation:

Use a proportion to solve for the missing side length - a/c = b/d.

4/2 = 6/s cross-multiply

4s = 12 divide by 4

\(\boxed{s=3}\)

Answer:

Step-by-step explanation:

Because these triangles are similar, their sides exist in proportion to one another. Their angles are exactly the same. but their sides are proprtionate IF they are similar. We are told they are so setting up the proportion:

\(\frac{4}{2}=\frac{6}{s}\) and cross multiply:

4s = 12 so

s = 3

You could also look at the fact that the height of the larger triangle is 4 and the height of the smaller is 2, so the larger is twice as big as the smaller; likewise, the smaller is half the size of the larger (that means the same thing). So if the larger side is 6, half of that is 3.

The results of the study examining the relationship between years spent smoking and attitudes toward quitting should show a negative relationship between these variables. This means that as the number of years spent smoking increases, participants' optimism for the success of a treatment program should decrease.

In the study, participants were asked to rate their optimism for the success of a treatment program, which serves as a proxy for their attitudes toward quitting. The variable being measured is the level of optimism, which can be quantified using a numerical rating scale or likert scale. The independent variable is the number of years spent smoking, which represents the duration of smoking behavior.

To determine the relationship between these variables, researchers would likely conduct statistical analyses, such as correlation or regression analysis. These analyses would examine the association between the number of years spent smoking and participants' optimism ratings. A negative relationship would be indicated by a statistically significant negative correlation coefficient or a negative regression coefficient.

The study's results should demonstrate that as the number of years spent smoking increases, participants' optimism for the success of a treatment program decreases. This suggests that individuals who have been smoking for a longer duration may be less hopeful about quitting successfully.

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Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Answer:

126

Step-by-step explanation:

Answer:

B. Point M

Step-by-step explanation:

Point N (-4, 2) is 4 units away from the y axis, going left

Point M (-4, -2) is also 4 units away from the y axis, going left

The drone's descent can be modeled by a linear function as the rate of descent is constant.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

For this problem, we have that the drone descended 16 meters in 6 seconds, hence the slope m is given as follows:

m = -16/6 = 2.67 m/s.

As the slope is constant, a linear function can model the situation.

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The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.

To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.

The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.

By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.

Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.

Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.

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Answer:

12 children

Step-by-step explanation:

1/4 of 16 is 4. 16 subtract the 4 slices she sold is 12 slices of cake for each of her children.

Answer:

12children (wow)

Step-by-step explanation:

1/4 is equal to 4/16 thats how much cake was left so she gave away 12 piecs (3/4 of the cake or 12/16)

16-4 = 12

Answer:

50 laps

Step-by-step explanation:

20+1.25x+15+2.5x+40+1.5x+25+1.75x=450

7x+100=450

7x+200-200=450-100

7x=350

7x/7=350/7

x=50

Answer:

12.3

Step-by-step explanation:

Use the law of sines.

\( \dfrac{a}{\sin A} = \dfrac{b}{\sin B} \)

\( \dfrac{14}{\sin 80^\circ} = \dfrac{x}{\sin 60^\circ} \)

\( x = \dfrac{14\sin 60^\circ}{\sin 80^\circ} \)

\( x = 12.3~cm \)

Answer: 39k+40

Step-by-step explanation:

Distribute:−5(−6k−6)−(−9k−10)

                   30k+30-(9k-10)

                    30k+30+9k+10

Add the numbers: 30k+30+9k+10

                               30k+40+9k

Combine like terms: 30k+40+9k

                                  39k+40

there you go please Brainliest me

Thank you!!

Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

The amount remaining out the money earned is $37.5

Given the following parameters

Amount earned by kevin = $80

If he spent $68/5 on shopping, $51/2 on food, and $22/5 for taxi, the total money spent is given as;

Total money spent = 51/2 + 68/5 + 22/5

Total money spent = 51/2 + 90/5

Total money spent = 25.5 + 18

Total money spent = 43.5

Amount remaining = 80. - 43.5

Amount remaining = 37.5

Hence the amount remaining out the money earned is $37.5

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Check the picture below.

Answer:

Given:- \(y=-5x^3+10x+20\)

A parabola attain maximum height at the vertex: formula to find x-coordinate of vertex is, \(x=-\frac{b}{2a}\)

plug in a=-5 and b=10

so, \(x=-\frac{10}{2(-5)} =-\frac{10}{-10} =1\)

Now plug in x=1 to get maximum height,

\(y=-5(-1)^2+10(1)+20\)

\(=-5+10+20\)

\(=+25\)

so, maximum heigh reached by the rocket was 25 yards

Rocket will hit the ground when y=0

\(0=-5x^2+10x+20\)

\(0=-5(x^2-2x-4)\)

\(\frac{0}{-5} =\frac{-5}{-5} (x^2-2x-4)\)

So, \(x^2-2x-4=0\)

quadratic formula is,

\(x=\frac{-b+-\sqrt{b^2-4ac} }{2a}\)

plug in a=1, b=-2,and c=-4

\(x=-\frac{(-2)=-\sqrt{(-2)^2-4(1)(-4)} }{2(1)}\)

\(=\frac{2=-\sqrt{4+16} }{2}\)

\(=\frac{2+-\sqrt{20} }{2}\)

\(=\frac{2+-2\sqrt{5} }{2}\)

\(=1+-\sqrt{5}\)

\(=1-\sqrt{5} ,1+\sqrt{5}\)

\(=1-5.236,1+2.236\)

\(=-1.236,3.236\)

So, it takes 3.2 seconds to hit the ground.

OAmalOHopeO

The value of the expression below when x=5x=5?

8x+9 is equal to \(7^{2}\) (or) 49.

Substitute \(\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)\)

The expression,

y = 8x + 9

If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:

So, we can substitute x = 5,

Then, y = 8 * 5 + 9

Calculate the product or quotient,

y = 40 + 9

Calculate the sum or difference,

y = 49

We can write alternative form,

y = \(7^{2}\)

Therefore,

Hence the value of the expressions if x = 5 is \(7^{2}\) (or) 49.

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