1. A rectangular piece of metal is 3 centimeters wide and 8 centimeters long. What is its area?
Area = length x width

Step-by-step explanation:

Add the amount of the same number together. That will be your power:

15 x 15 x 15 = 15³

6 x 6 x 6 x 6 x 6 x 6 = \(6^6\)

~

Answer:

B: 24

(Sorry if this is wrong i tried my best)

Answer:

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

took the test

If twο different integers have the same absοlute value, we can cοnclude that they are equal in magnitude but οppοsite in sign.

In mathematics, integers are whοle numbers, bοth pοsitive and negative, and zerο. Integers can be represented οn a number line that extends infinitely in bοth directiοns.

If twο different integers have the same absοlute value, we knοw that they are equidistant frοm zerο οn the number line, but οn οppοsite sides. In οther wοrds, they are bοth the same distance away frοm zerο, but οne is pοsitive and the οther is negative.

Hence, if twο different integers have the same absοlute value, we can cοnclude that they are equal in magnitude but οppοsite in sign. We can alsο say that they are additive inverses οf each οther, which means that if we add them tοgether, we will get zerο.

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The central angle is approximately 2.357 radians.

To find the central angle, we can use the formula:

Central angle (θ) = arc length ÷ radius

Given:

Arc length (mXY) = 18 in

Radius (ZY) = 7.64 in

Plugging in the values:

Central angle (θ) = 18 in ÷ 7.64 in

Calculating the division:

θ ≈ 2.357 radians

Therefore, the central angle is approximately 2.357 radians.

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Answer:

-170 / 10

Step-by-step explanation:

9514 1404 393

Answer:

  A  The number of miles driven will always be greater than or equal to zero and cannot be less than zero.

Step-by-step explanation:

The domain of a function such as this is the set of values that realistically may be given as input to the function. We know of no way to ride a motorcycle a negative number of miles, so the domain must be non-negative numbers.

__

In real life, the domain is likely non-negative integers.

Answer:

3r = 7/10

3r = 0.7

r = 0.7/3

r = 0.23

Step-by-step explanation:

Answer:c, the answer is c

Step-by-step explanation:

anser is

Step-by-step explanation:

618 is the answer

Answer:2

Step-by-step explanation:

The system of equations has one solution (-1, 1)

From the question, we are to graph the given system of equations.

The given system of equation is

y + 2x = −1

3y − x = 4

The graph of the given system of equations is shown below.

From the graph, we can observe that the solution to the given system of equation is given by two lines that intersect at the point (-1, 1).

Hence, the system of equations has one solution (-1, 1)

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I think the answer is A. The first one

Answer:

C)  I, III, IV, II

Step-by-step explanation:

Convert each number into a decimal:

\(\textsf{I.} \quad \dfrac{58}{67}=0.86567...\)

\(\textsf{II.} \quad 0.58\%=\dfrac{0.58}{100}=0.0058\)

\(\textsf{III.} \quad 58\%=\dfrac{58}{100}=0.58\)

\(\textsf{IV.} \quad 5.8\%=\dfrac{5.8}{100}=0.058\)

Comparing the tenths of all the numbers, 8 is the biggest tenth, so 58/67 is the largest number.

The next biggest tenth is 5, so 58% is the next largest number.

The two remaining numbers have zero tenths, so compare their hundredths. 5 is the largest hundredth, so 5.8% is the next largest number.  Therefore, 0.58% is the smallest number.

Therefore, the given set of numbers in order from greatest to least is:

Answer:

c) I, III, IV, II

Step-by-step explanation:

Values of l, ll, lll & lV respectively,

→ 58/67, 0.58%, 58%, 5.8%

→ 0.87, 0.0058, 0.58, 0.058

Arranging them in descending order,

→ 0.87 > 0.58 > 0.058 > 0.0058

→ 0.87, 0.58, 0.058, 0.0058

→ l, lll, lV, ll

Hence, the option (c) is correct.

Total classrooms are required:-

\(\\ \sf\longmapsto \dfrac{990}{30}\)

\(\\ \sf\longmapsto 33\)

Answer: 28.25%

Step-by-step explanation:

113/400=0.2825=28.25%

Answer:

Decreased by 19%.

-------------------------------

Decrease by of x 10% can be shown as a product of x and:

Same applies to the second decrease, then we get a final number:

It represent a one off decrease of:

Hence the answer is 19%.

Answer:

Step-by-step explanation:

100 - 100/10 = 90

90 - 90/10 = 91

100 - 81 = 19%

for a better understanding look at the figure

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

(3, -5) (4, -5) (2, -7)

Step-by-step explanation:

An integer is any whole number that is not a fraction, they include -10204, -3, 0, 5, and 8592. (random numbers)

A coordinate with integers can be anything such as (0, 4582) and (547, 42)

However, it can not be (0.45846, 4579) or (54.42, 58).

To determine which points have coordinates that look like they are integers, you just have to select 3 points that lie at the intersection of the y and x value tic marks

You can see that (3, -5) is at the intersection of the x value 3 tic mark and the y value -5 tic mark, while also being on the parabola.

The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.

To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...

By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.

Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.

Let's calculate the differences between consecutive terms:

-45 - (-39) = -6

51 - (-45) = 96

57 - 51 = 6

From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.

Let's calculate the ratios between consecutive terms:

-45 / (-39) ≈ 1.1538

51 / (-45) ≈ -1.1333

57 / 51 ≈ 1.1176

The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.

Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.

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The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20

We have the following definitions in the question

If the total questions is 20, then

Incorrect answers = 20 - x

So, the points gained/lost are

Gained = 5 * x = 5x

Lost = -2 * (20 - x) = -2(20 - x)

Bonus = 20

Add the above points to get the function S(x)

S(x) = 5x - 2(20 - x) + 20

Hence, the definition is S(x) = 5x - 2(20 - x) + 20

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The given equation 9x2 + 3xy + 15x + 5y in factored form is\((3 x+y)(3 x+5)$$\)

Factor \($9 x^2+3 x y+15 x+5 y:\)

Steps

\(& 9 x^2+3 x y+15 x+5 y \\\)

\(& =\left(9 x^2+3 x y\right)+(15 x+5 y)\)

Factor out 3 x from \($9 x^2+3 x y: \quad 3 x(3 x+y)$\)

Factor out 5 from\($15 x+5 y: \quad 5(3 x+y)$\)

\($$=3 x(3 x+y)+5(3 x+y)$$\)

Factor out common term\($3 x+y$\)

\($$=(3 x+y)(3 x+5)$$\)

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Answer:C=40 degrees D=76 degrees

Step-by-step explanation:

Because of a theorem angle c and d equal angle DEF

so here is our equation:4y+(7y+6)=116

Open the parentheses

4y+7y+6=116

-6 on both sides

4y+7y=110

11y=110

Divide both sides by 11

y=10

Now we have to substitute

C=4y=4(10)=40

D=7y+6=7(10)+6=70+6=76

Answer:

A.

Step-by-step explanation:

x^2+11x+28

first get the product and sum by using

a=1

b=11

c=28

and then

p=a multiplied by c

b=11

p=28

s=11

find any number that can be multiplied by

7&4 are the numbers

(x^2+7x)+(4x+28)

x(x+7)+4(x+4)

(x+7)(x+4)

Answer:

A pencil costs $0.50

A binder costs $3.00

A notebook costs $2.50

Step-by-step explanation:

Represent Notebook with N, Pencil with P and Binder with B

For Anna:.

2N + P + 3B = 14.50

For Josh:.

N + 4P + B = 7.50

For Alex:

3N + 2P + 2B = 14.50

Required

Solve for N, P and B

Make N the subject in the second equation

N + 4P + B = 7.50

N = 7.50 - 4P - B

Substitute 7.50 - 4P - B for N in the first equation

2N + P + 3B = 14.50

2(7.50 - 4P - B) + P + 3B = 14.50

Open Bracket

15.0 - 8P - 2B + P + 3B = 14.50

Collect like terms

3B - 2B + P - 8P = 14.50 - 15.0

B - 7P = -0.50

B = 7P - 0.50

Substitute 7.50 - 4P - B for N in the third equation

3N + 2P + 2B = 14.50

3(7.50 - 4P - B) + 2P + 2B = 14.50

22.50 - 12P - 3B + 2P + 2B = 14.50

Collect Like Terms

2P -12P + 2B - 3B = 14.50 - 22.50

-10P - B = -8

Multiply through by -1

10P + B = 8

Recall that B = 7P - 0.50

10P + B = 8 becomes

10P + 7P - 0.50 = 8

17P - 0.50 = 8

17P = 8 + 0.50

17P = 8.50

Divide through by 17

P = 8.50/17

P = 0.50

This implies that a pencil costs $0.50

Substitute 0.50 for P in B = 7P - 0.50

B = 7 * 0.50 - 0.50

B = 3.50 - 0.50

B = 3.00

This implies that a binder costs $3.00

Substitute 3.00 for B and 0.50 for P in N = 7.50 - 4P - B

N = 7.50 - 4 * 0.50 - 3.00

N = 7.50 - 2.00 - 3.00

B = 2.50

This implies that a notebook costs $2.50

Answer:

just simply add those add remove the sign

The probability that it weighs more than 51 pounds exactly 53 pounds.

Given that, mean weight of 50 pounds and a standard deviation of 0.5 pounds.

We need to find the probability that it weighs more than 51 pounds,

P(X = 53) = 0

z = (51 - 50) / 0.5 = 2.00

P(X > 51) = P(z > 2.00) = 0.0228

z1 = (49 - 50) / 0.5 = -2.00

z2 = (51 - 50) / 0.5 = 2.00

P(49 < X < 51) = P(-2.00 < z < 2.00) = P(z < 2.00) - P(z < -2.00) = 0.9772 - 0.0228 = 0.9544

Hence, the probability that it weighs more than 51 pounds exactly 53 pounds.

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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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