A concrete block is shown below. Note that the walls for the block are 1 inch (2.5 cm) thick. If the block has a mass of 12,150 g, what is the block's density?

Answer:

80

Step-by-step explanation:

used a calculator

The distance between two points on a coordinate grid can be calculated as follows;

The number that goes beneath the radical symbol is 13, that means the answer is square root 13.

Answer:

Answer is 261

Step-by-step explanation:

You have to plug in the number into the variable.

* 3(-3-6)^2 -(-3) (6)

> 3(-9)^2 +3 (6)

> 3(81) + 18

> 243 + 18

> 261

I hope this is the right answer.

Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.

In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.

For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:

Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).

Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).

Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.

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Answer:

a. Unikely

b. Likely

c. Equally likely

d. Unlikely

e. Equally likely

f. Equally likely

g. Unlikely

h. Likely

i. No SPINNER SHOWN?

j. NO SPINNER SHOWN?

Step-by-step explanation:

The name of the figure illustrated in the image of AD is Side B. PO.

From the diagram in the question, Figure ABCD is the Image of PMNO, that is each vertex is a corresponding pair of the other image. This implies that P with AM with BN with CO with D

The same can be applied to the sides in the two images ABCD correspond with PMNO, also each corresponding side will be AD to PO. In this case, AB to PMBC to MNDC to ON.

Therefore, the image of side AD must be PO.

In conclusion, the correct option is B.

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The quotient is -2x - 2. Matching the expressions with their respective quotients:

(x²-3x - 18) + (x-6) → x² - 2x - 24

(x²-5x-3) + (x²+2x+1) → 2x² - 3x - 2

(x³ + 2x² - 1) / (x² + x + 1) → -2x - 2

Therefore, the expressions are matched with their respective quotients

Let's simplify each expression and match them with their corresponding quotient:

(x²-3x - 18) + (x-6)

Simplifying the expression:

x² - 3x - 18 + x - 6 = x² - 2x - 24

(x²-5x-3) + (x²+2x+1)

Simplifying the expression:

x² - 5x - 3 + x² + 2x + 1 = 2x² - 3x - 2

(x³ + 2x² - 1) / (x² + x + 1)

To divide these polynomials, we need to perform polynomial long division:

         x + 1

  ___________________

x² + x + 1 | x³ + 2x² - 1

- (x³ + x² + x)

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

x² - 1

- ( x² + x + 1)

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

-2x - 2

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The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

Expression in mathematics is a combination of symbols and numbers, often using an operation, such as addition, subtraction, multiplication, or division. It can represent a number, a variable, a function, or a mathematical statement. It can also represent a combination of these things. Expressions are used to describe relationships between numbers, variables, and mathematical concepts.

The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and there are 2 shelves in total. This expression can be used to calculate the total number of head wraps on the shelves by multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves). As such, the expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

In conclusion, the expression 8x2 can be used to calculate the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total. By multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves), the total number of head wraps on the shelf can be found, resulting in a total of 16 head wraps.

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Complete questions as follows-
In which situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf?

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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By comparism using the given scale ratio, the weight of Ellie at birth is 7.7pounds.

Ratio simply compares values, it shows how much of one thing is related or compared to another thing.

Given the data in the question;

To determine the weight of Ellie, we simply say;

0.75pounds : 0.9pounds = 6.4pounds : X

0.75pounds / 0.9pounds = 6.4pounds / X

Cross multiply

0.75pounds × X = 0.9pounds × 6.4pounds

0.75pounds × X = 5.76pounds²

X = 5.76pounds² / 0.75pounds

X = 7.68pounds

X = 7.7pounds

Therefore, by comparism using the given scale ratio, the weight of Ellie at birth is 7.7pounds.

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Answer:

The domain should be on the x-axis.

I might be wrong.

The answer is 11.4 million. This can be determined by extrapolating the trend line from the spread.

Extrapolation is predicting values ​​that fall within the range of available data. It is used to estimate the value of a variable in situations where data is not available.

The spread shows that the number of cable TV households has increased in eight years.

The trend line shows that the number of homes has grown at a steady pace.

Extrapolating this trend line, it can be estimated that the number of households using cable television will be 11.4 million households in 2011.

It is important to note that extrapolation is an imprecise forecasting method  and can lead to inaccurate results.

Therefore, the estimated value of 11.4 million households for 2011 should be viewed with caution.

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The numeric values for this problem are given as follows:

The function in this problem is a piecewise function, meaning that it has different definitions based on the input x of the function.

For x between -2 and 2, the function is defined as follows:

g(x) = -(x - 1)² + 2.

Hence the numeric value at x = -1 is given as follows:

g(-1) = -(-1 - 1)² + 2 = -4 + 2 = -2.

For x at x = 2 and greater, the function is given as follows:

g(x) = 0.5x - 1.

Hence the numeric values at x = 2 and x = 3 are given as follows:

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Answer:

41° and 49°

Step-by-step explanation:

Complementary angles are angles that sum up to 90°.

Let x represent the smaller angle, then the bigger angle will be represented with x + 8:

x + x + 8 = 90°

2x + 8 = 90°

2x = 82°

x = 41° this is the measure of smaller angle, then the bigger angle wpis 49°

The answer is:

Work/explanation:

If two angles are complementary, their measures add to 90°.

So we can set up an equation to find the angles. Let the unknown angle be w, and its complement will be w + 8:

w + w + 8 = 90

Combine like Terms

2w + 8 = 90

2w = 82

w= 41

The other angle measures 8° more than the measure of w:

41 + 8 = 49

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.

There is a ratio issue here.

As X is to three, 3 is to 4.

3 : 4 :: X : 3

To eliminate the fractions, multiply each integer in the ratio by 12.

9 : 12 :: 9X : 12

This is a portion of what is

9 / 12 = 9X / 12

to obtain, cross-multiply.

9 / 12 = 3 teaspoons of salt,

Check: 3 cup of flour yields 3 cups, which is a 4x increase.

The amount of salt in 9/12 tablespoons is four times that of 3 tablespoons.

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

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Answer:

perimeters =41.2

area=91.65

Step-by-step explanation:

rectangle Perimeter(p) Area (A)

L=length 2 (L+W) L×W

W=width

Answer:

14.1*6.5= your area

6.5+6.5+14.1+14.1=perimeter

Step-by-step explanation:

hope this helps!

Answer:

y = 10

Step-by-step explanation:

2y + 30 and 3y + 20 are known as vertical angles. They are equal to one another.

\(2y+30=3y+20\\\\2y+30-2y=3y+20-2y\\\\30=y+20\\\\30-20=y+20-20\\\\10=y\)

Answer:

0.77

Step-by-step explanation:

From the information given:

The breakdown time (a)= 3 hours

The breakdown rate (λ) = 1/a = 1/3

Average flow time in the system (W) = 2.305 hours

For the entire system;

The average down machines L = Wλ

= 2.305 × (1/3)

= 0.77

Answer:c, the answer is c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Any number greater than 1 will give a number greater than 2386

Answer:

it's alphabetically backwards

Step-by-step explanation:

Answer:

\( \frac{x + 2}{3x - 1} \)

Step-by-step explanation:

x²-9 when factorized, would be

(x-3)(x+3)

Using a scientific calculator or manually, you can factorise the denominator of the same fraction which would be,

(3x-1)(x+3)

when it's fraction division, you must turn the sign into multiplication and use the reciprocal of the fraction.

\( \frac{(x - 3)(x + 3)}{(3x - 1)(x + 3)} \times \frac{x + 2}{x - 3} \)

Now, you can cancel the similar terms which are,

(x-3) and (x+3)

then, you are left with your final answer as,

\( \frac{x + 2}{3x - 1} \)

The area of triangle ABC is 19 square units.

To find the area of a triangle, we can use different formulas depending on the information available. Since we have the coordinates of the vertices A(-9, -8), B(-2, -9), and C(-8, -5), we can use the Shoelace Formula (also known as the Gauss's area formula) to calculate the area of the triangle.

The Shoelace Formula states that if the coordinates of the vertices of a triangle are (x1, y1), (x2, y2), and (x3, y3), then the area (A) of the triangle can be calculated as:

Area = 0.5 * |(x1 * (y2 - y3) + x2 * (y3 - y1) + x3 * (y1 - y2))|

Using the coordinates of the vertices A(-9, -8), B(-2, -9), and C(-8, -5), we can substitute these values into the formula to calculate the area.

Let's calculate step by step:

x1 = -9

y1 = -8

x2 = -2

y2 = -9

x3 = -8

y3 = -5

Area = 0.5 * |(-9 * (-9 - (-5)) + (-2) * (-5 - (-8)) + (-8) * ((-8) - (-9)))|

Area = 0.5 * |(-9 * (-4) + (-2) * (3) + (-8) * (-1))|

Area = 0.5 * |(36 + (-6) + 8)|

Area = 0.5 * |(38)|

Area = 0.5 * 38

Area = 19

Therefore, the area of triangle ABC is 19 square units.

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Answer:

Maybe its y= b-x

Step-by-step explanation:

The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.

The Central limit theorem is used to find the probability

Data given:

sample size = 5.

mean, μ = 9.70 ounces

standard deviation, σ = 0.03 ounce.

To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.

x is the sample mean,

μ is the population mean,

σ is the population standard deviation, and

n is the sample size.

For the sample mean of 9.65 ounces in 5 boxes:

z = (9.65 - 9.70) / (0.03 / √5)

z ≈ -0.05 / (0.03 / √5)

Using a calculator, we find that the probability is approximately 0.4801.

Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.

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Using tangent function:

Answer:

d)

Step-by-step explanation:

Equation of circle with center at point (h, k) and radius, r.

\( (x - h)^2 + (y - k)^2 = r^2 \)

This problem:

(x − A)^2 + (y − B)^2 = C

The center is (A, B).

The radius is sqrt(C).

Answer: d)

Answer:

Step-by-step explanation:

Side of the first triangle = 48/3 = 16 in

Side of the inner triangles, common ratio is 1/2:

16, 8, 4, 2

Perimeter of the triangles:

48, 24, 12, 6

Sum of perimeters:

Answer:

90 inches

Step-by-step explanation:

first triangle perimeter: 48

cut that in half for the next one: 24

next: 12

final: 6

add all of that together and you get 90

Answer:

24

Step-by-step explanation:

Use the triangle area formula: A=1/2 (base)(height)

Plug in what we know: 216=1/2(18)(h)

Solve for h: (1/2)(18)=9.

216/9=24.

So, h=24

To check, plug it into the formula: 1/2(18)(24)= 216