Find a polynomial function of degree 2 that has zeros at x=4

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Answer:

c.

Step-by-step explanation:

we estimate by rounding the factors to "easy numbers". that means numbers we can easily calculate even in our heads, and we get at just a ballpark number as result for orientation.

59 is much closer to 60 than to 50.

42 is much closer to 40 than to 50.

of course, we round to the closest "round numbers", so that the loss of precision through the rounding is as little as possible, so that the estimation still gives a much value as possible.

and the sum of the differences of the factors should be as close to 0 as possible.

so, 60×40 is the closest and therefore best estimation.

the sum of the factor differences is (+1 - 2) = -1.

compare to the real result :

59×42 = 2,478

answer a and b are by the way not correct :

50×40 = 2000 (and not 2500)

60×50 = 3000 (and not 3500)

FYI - in this case 50×50 = 2500 would be the closest estimation.

and the sum of the factor differences would be (-9 + 8) = -1.

normally, this wide "jumping" (-9 to +8) would make it only second choice.

5/18 counter-clockwise is equivalent to 100 degrees counter-clockwise.

What is Fraction ?

A fraction is a number that represents a part of a whole or a ratio between two quantities. It is expressed as a ratio of two integers, with the numerator (top number) representing the part or quantity being considered and the denominator (bottom number) representing the total or whole.

To convert a fraction of a full rotation to degrees, we can use the fact that a full rotation is equivalent to 360 degrees.

In this case, 5/18 represents a fraction of the full rotation, where the numerator (5) represents the number of counter-clockwise rotations and the denominator (18) represents the total number of rotations in a full circle.

To find the number of degrees, we can multiply the fraction by 360 degrees:

(5/18) * 360 = 100 degrees

Therefore, 5/18 counter-clockwise is equivalent to 100 degrees counter-clockwise.

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Answer:

The decimal point will move 2 places to the left.

Step-by-step explanation:

The decinal place is depentant on how many 0s the number has e.g. 100. Therefore the decimal will move to places to the left.

Answer: 0.41

Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).

41 over 100 as a decimal point would be 41 divided by 100

Which produces the equivalent decimal, 0.41

P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)

0.41 = 41%

so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)

Best of luck in 5th grade :)

Comparing all the numbers, we can see that (d) 21/2500 is not equal to the other numbers, since it is a fraction and all the other numbers are decimals. Therefore, (d) is the answer.

To determine which of the numbers is not equal to the other, we can convert all the numbers to the same form and compare them.

a) 0.84% can be written as 0.0084 in decimal form.

b) (0.21)(0.04) equals 0.0084.

c) 8.4 x 10⁻² can be written as 0.084 in decimal form.

d) 21/2500 can be simplified by dividing both the numerator and denominator by 21 to give 1/119.

e) 21/2500 x 10⁻² can be simplified by dividing both the numerator and denominator by 21 and multiplying by 100 to give 0.084.

In conclusion, to determine which number is not equal to the other, we need to convert all the numbers to the same form and compare them. In this case, we converted all the numbers to decimal form except for (d), which is a fraction. By comparing the numbers, we found that (d) is not equal to the other numbers.

Therefore, (d) is the answer.

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Answer:

That Platonic solid is a dodecahedron.

B is the correct answer.

Answer:

-2/3

Step-by-step explanation:

I think this would help u

Answer:

True

Step-by-step explanation:

The easiest way to understand this problem is to first breakdown the notation. In words, the problem is stating 9 is NOT an element of the set containing the elements 4, 1, 8, and 7. Since 4\(\neq\)9, 1\(\neq\)9, 8\(\neq\)9, and 7\(\neq\)9 then 9 is not an element of this set and the statement is true.

For given  regression model, the number 59.89 in the table tells us that for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

In this question we have been given a summary of regression model.

We need to explain the meaning of the number 59.89 in the table.

For given regression model, to view the results of the model, we can use the summary() function in R programming.

In given summary consider the 'Coefficients' table.

The first row gives the estimates of the y-intercept, and the second row gives the regression coefficient of the model.

The 'Estimate' column is the estimated effect, also called the regression coefficient or r² value.

The number 59.89 in the table is coefficient for IsSandwich.

This number tells us that for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

Therefore, the meaning of the number 59.89 in the table: for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

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The complete question is as shown in the following image

The image is reflected over the y-axis. Then the correct option is B.

Given that:

Point of the polygon VWXYZ, W(2, 4)

Point of the polygon V'W'X'Y'Z', W'(-2, 4)

The translation does not change the shape and size of the geometry. But changes the location.

The reflection does not change the shape and size of the geometry. But flipped the image.

The point W' can be obtained by reflecting the shape across the y-axis.

Thus, the correct option is B.

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The missing diagram is given below.

Kim's test scores indicate that he scored as well as or better than 72% of the test takers, and 28% of the test takers scored better than him. His grade equivalent of 12.1 indicates that he would perform adequately in a twelfth grade science class.

His percentile of 88 indicates that he scored as well as or better than 88% of the test takers. His raw score of 72 does not directly indicate the percentage of questions answered correctly, but it can be assumed that he answered a majority of the questions correctly to achieve his score.

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The recursive relation of the data distribution a(n) = a ( n - 1 ) x n - ( n - 1 ).

A sequence of values is defined by a mathematical equation termed as a recursive relation, also known as recursive relation. It derives current value(s) through specified initial value(s) and previous value dependent rule(s). In essence, it generates numeric sequences.

Note that every individual unit can be derived by multiplying the preceding one with a rising integer, and subsequently subtracting a descending integer:

1 x 1 - 0 = 1

1 x 2 - 1 = 1

1 x 3 - 2 = 5

5 x 4 - 3 = 17

17 x  5 - 4 = 71

71 x 6 - 5 = 247

We can deduce the relation of a(n) = a ( n - 1 ) x n - ( n - 1 ).

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Answer:

Grease bottoms only of 12 muffin cups or line with baking cups. ... I made some changes to the recipe;

Step-by-step explanation:

I added 1 cup milk, 1 cup chips, 1 cup ... was way too much batter for 12 muffins; I ended up making two trays and they were done in 18 minutes. I give it four stars only because of all the changes I had to make

Answer:

th answer is 10.

Step-by-step explanation:

in the pic. can i get brainlist

Answer:

64

Step-by-step explanation:

First, we multiply by 4 on both sides to get rid of the pesky fraction. We get:

x - 24 = 40

Now we add 24 on both sides to isolate the x and get all of the numbers on the other side:

x = 64

To check our work, we can input our answer back into the equation:

(64)/4 - 6 = 16 - 6 = 10

This satisfies the equation. Therefore, x = 64 is our answer!

I hope this helps! :)

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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When writing a proof , by copying the “given” statement(s) from the original problem

Given data ,

A true assertion that is provided in the problem or is known to be true should be the first statement in a proof. The subsequent logical argument has this as its foundation.

We can provide the groundwork for the proof and proceed to the desired conclusion by duplicating the "given" statement(s) from the original problem.

Once the first statement is established, we can move on to writing additional statements that are each logically supported by the first statement.

The logical evolution of the preceding assertions demonstrates that the last statement should be the intended conclusion.

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Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

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Answer:

i also can't at all

Step-by-step explanation:

This is hard for me

There will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

To calculate the amount in Nathan's daughter's RESP after 25 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = Final amount (amount in the account after 25 years)

P = Principal amount (amount deposited every 2 months)

r = Annual interest rate (in decimal form)

n = Number of times the interest is compounded per year

t = Number of years

In this case, Nathan deposits $940 every 2 months, so the principal amount (P) is $940. The annual interest rate (r) is 3.99% or 0.0399 in decimal form. Since the interest is compounded quarterly, the compounding frequency (n) is 4. The number of years (t) is 25.

Since Nathan deposits every 2 months, we need to calculate the total number of deposits made over 25 years. There are 12 months in a year, so in 25 years, there will be 25 * 12 = 300 months. However, since Nathan deposits every 2 months, the number of deposits (m) is 300 / 2 = 150.

Now, we can substitute these values into the formula:

A = 940(1 + 0.0399/4)^(4*25)

Calculating the exponent first:

(1 + 0.0399/4)^(4*25) ≈ 2.703236

Now, substituting the calculated exponent and the number of deposits into the formula:

A = 940 * 2.703236 * 150 ≈ $594,311.34

Therefore, there will be approximately $594,311.34 in Nathan's daughter's RESP after 25 years of depositing $940 every 2 months with a 3.99% annual interest rate compounded quarterly.

It's important to note that this calculation assumes Nathan makes the same $940 deposit every 2 months consistently over the 25-year period and does not make any withdrawals from the account during that time. Additionally, the actual amount may vary slightly due to rounding and any potential changes in interest rates over the years.

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sin30° = 1/2 = 5√2/b

b=5√2 ×2 = 10√2

tan60° = √3 = c/5√2

c=5×√2×√3

c =5√6

b = 10√2 , c = 5√6

Answer:

\(b=10\sqrt{2}\; \textsf{units}\)

\(c=5\sqrt6{}\; \textsf{units}\)

Step-by-step explanation:

The interior angles of the given right triangle are 30°, 60° and 90°.

This means it is a special 30-60-90 triangle.

The measures of the sides of a 30-60-90 triangle are in the ratio 1 : √3 : 2. Therefore, the formula for the ratio of the sides is x : x√3 : 2x where:

From inspection of the triangle, the measure of the shortest leg (the side opposite the 30° angle) is 5√2 units. Therefore, x = 5√2.

Side b is opposite the right angle, so it is the hypotenuse.

The hypotenuse is twice the length of the shortest leg. Therefore:

\(\begin{aligned}b&=2x\\&=2 \cdot 5\sqrt{2}\\&=10\sqrt{2}\; \textsf{units}\end{aligned}\)

Side c is opposite the 60° angle, so it is the longest leg of the triangle.

The longest leg is equal to the measure of the shortest leg multiplied by √3. Therefore:

\(\begin{aligned}c&=x\sqrt{3}\\&=5\sqrt{2} \cdot\sqrt{3}\\&=5 \sqrt{2\cdot3}\\&=5\sqrt6{}\; \textsf{units}\end{aligned}\)

In summary, the missing sides lengths b and c measure:

Answer:

-2 i think it is not sure

The solution of the expression is,

a) 3,724

b) 2,784

We have to given that,

a) Divide 70,756 by 19.

b) Subtract 940 from your answer to part a).​

Now, We can simplify as,

a) Divide 70,756 by 19.

⇒ 70,756 ÷ 19

⇒ 3,724

And, Subtract 940 from your answer to part a).​ that is, 3724

⇒ 3724 - 940

⇒ 2,784

Therefore, The solution of the expression is,

a) 3,724

b) 2,784

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Step-by-step explanation:

(a) How would you characterize the relationship between the hours spent on homework and the test scores? Explain

For this case what we see is that we have a scatter diagram, which we can model using a linear trend defining the following variables:

x: number of hours studied.

y: test scores.

The linear relationship would be of the form:

y = mx + b

(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework?

y = 8x + 40

For three hours of study we have that the note would be approximate:

y = 8 * (3) + 40

y = 64

(c) What does the number 40 in Part (b) mean in the context of the situation?

The number 40 means that if you do not devote any study time, then you expect the test score to be 40.

Answer:

To solve this, you would multiply -3 by x, which gives you -3x, and multiply -3 by -8. This would give you -3x+24.

Then, you would add 0.5x.

The answer would be -2.5x +24.

Whichever expressions below are equivalent to this answer are correct.

Hope this helps!

Answer:

completati tabelu urmator fractii zecimala finita

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

\(z=\frac{x-\mu}{\sigma} \\\\for\ a \ sample(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\where\ x=raw\ score,\mu=mean, \sigma=standard deviation\)

Given that n = 49, μ = 260 mg/dL, σ = 35 mg/dL

a) For x < 210:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{210-260}{35/\sqrt{49} } =-10\)

From the normal distribution table, P(x < 210) = P(z < -10) = 0.0001

b) For x > 205:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{205-260}{35/\sqrt{49} } =-11\)

For x < 215:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{215-260}{35/\sqrt{49} } =-9\)

P(205 < x < 215) = P(-11 < z < -9) = P(z < -9) - P(z < -11) = 0.0001 - 0.00001 = 0.00009

c) For x < 200:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{200-260}{35/\sqrt{49} } =-12\)

From the normal distribution table, P(x < 200) = P(z < -12) = 0.00001

d) For x > 222:

\(z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{222-260}{35/\sqrt{49} } =-7.6\)

From the normal distribution table, P(x > 200) = 1 - P(z < -12) = 1 - 0.0001 = 0.9999

Answer:

4 hours

Step-by-step explanation:

72+12x=120 and when you isolate x you get x=4

Answer:

d 2.60

Step-by-step explanation: