Some facts about powers of ten are shown. Use what you know about powers of ten to enter numbers that make the equation true.

Answer:

1/8

Step-by-step explanation:

P(nectarine) = number of nectarines / total

                       =2/16

                        = 1/8

Answer:

5) 4а²+8ас=4а(а+2с)

6) 3m²-6mn=3m(m-2n)

7) ab-ac+yb-yc=a(b-c)+y(b-c)=(a+y)(b-c)

8) ab+ac+xb+c=b(a+x)+c(a+1)

Answer:

w = 99 pounds

Step-by-step explanation:

The problem states that Mary's weight is given by the equation:  

w = 92 + g - 1

I believe the "-1" should be "-x."  -1 would mean that Mary lost 1 pound.  But we know that Mary lost 8 pounds, which is designated as x.

The correct equation is:

w = 92 + g - x

============

Using the correct equation, and g=15 and x=8, Mary's new weight is:

w = 92 + 15 - 8

w = 99 pounds

Given that a milk sample contains 3.25% fat, the amount of milk that would contain 13 grams of fat is approximately 400 grams.

The weight of milk that contains 13 grams of fat, we can set up a proportion using the fat percentage.

Let's assume x represents the weight of milk in grams. We know that the fat content is 3.25% of the milk sample. Therefore, 0.0325x grams of the milk sample is fat.

Now we can set up the proportion:

0.0325x grams of fat / x grams of milk = 13 grams of fat / y grams of milk

Cross-multiplying the proportion, we get:

0.0325x * y = 13 * x

0.0325y = 13

Simplifying the equation, we find:

y = 13 / 0.0325

y ≈ 400 grams

Therefore, approximately 400 grams of milk would contain 13 grams of fat.

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Answer:

the correct answer would be 27

Step-by-step explanation:

So first things first you need to replace n with 4

3n+15

(3)(4)+15

=12+15

=27

Hope this helps have an amazing day!!

Answer: 27

Step-by-step explanation:

-We would need to substitute the value of the variable into the equation and simplify.

-We will be plugging in 4 for n.

Step 1: Plugging in.

3 * 4 = 12

Step 2: Addition.

12 + 15

Final Answer: 27

Answer:

the answer is b

Answer:

You can only add and subtract polynomials when they are like terms such as 5^2 and -3^2, not 5^4 and 3^6

Step-by-step explanation:

Addition and subtraction of polynomial expression produce the expression of the same degree or lower but the function deduces the solutions and new functions.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
A polynomial equation is an expression constituted of variables, powers o variable,s, and coefficients prefixed to the variable. A function is one that has at least a single independent variable.
So,
When adding and subtracting polynomial expressions either it always gives the expression, but when adding and subtracting functions it gives the expression which either solution between the function or it makes a common relationship between the function.

Thus, addition and subtraction of polynomial expression produce the expression of the same degree or lower but the function deduces the solutions and new functions.

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Answer:

Since, the coordinates of the midpoint of line GH are M(\frac{-13}{2}, -6)(

2

−13

,−6) .

The coordinates of endpoint G are (-4,1)

We have to determine the coordinates of endpoint H.

The midpoint of the line segment joining the points (x_1, y_1)(x

1

,y

1

) and (x_2, y_2)(x

2

,y

2

) is given by the formula (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})(

2

x

1

+x

2

,

2

y

1

+y

2

) .

Here, The endpoint G is (-4,1) So, x_1 = -4 , y_1=1x

1

=−4,y

1

=1

Let the endpoint H be (x_2,y_2)(x

2

,y

2

)

The midpoint coordinate M is (\frac{-13}{2}, -6)(

2

−13

,−6) .

So, \frac{-13}{2} = \frac{-4+x_2}{2}

2

−13

=

2

−4+x

2

{-13} = {-4+x_2}−13=−4+x

2

{-13}+4 = {x_2}−13+4=x

2

{x_2}=9x

2

=9

Now, -6 = \frac{1+y_2}{2}−6=

2

1+y

2

-12 = {1+y_2}−12=1+y

2

y_2= -13y

2

=−13

So, the other endpoint H is (-9,-13).

The answers are given below.

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given:  

2) -23×0×43=0

4) 9× -8× -3=216

6) (-56)/-8=7

8) 144/-6=-24

10) 124/-4 = -31

12) -(-4)×3=12

14)-(-6)=6

16) -36×3 / -6 =18

18) 7×(-5)×8=280

20) 8×9/-3=-24

22) -12×6×3 /-8=27

24)17×-4×-1/ -2/-1=34

Hence, The answers are given above.

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Graphically, the two lines will appear as two distinct lines running parallel to each other, never intersecting.

Mathematical statements known as algebraic rules connect two variables and are expressed as equations. One of the algebraic constants is area = length x width. As a result of a set of factors, you can also develop your own rule.

To solve the system of equations:

3x - 2y = 8

6x - 4y = 12

We can simplify the second equation by dividing both sides by 2:

3x - 2y = 8

3x - 2y = 6

Now we can see that the two equations represent two parallel lines with the same slope (-3/2) and different y-intercepts (4 and 3).

Since the two lines are parallel, they will never intersect and therefore there is no solution to the system of equations.

Graphically, the two lines will appear as two distinct lines running parallel to each other, never intersecting.

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Answer:

10

Step-by-step explanation:

200-65= 135

135/13.5=10

Answer:

25

Step-by-step explanation:

\((2x + 2) +( 5x + 3) = 7x + 5 = 180 \\ 7x = 175 \\ x = 25\)

Answer:

25

Step-by-step explanation:

2x+2+5x+3=180

7x+5=180

7x=175

x=25

Answer:

180 degrees

Step-by-step explanation:

East and west are two opposite directrions along the same line.

The angle is 180 degrees.

Answer: 180°

Step-by-step explanation: The directions on a compass would look something like this; (Refer to the image.)

A full circle is 360°. Half of 360 is 180. You would have to make a clockwise rotation by 180° to face West. Think of this picture as a clock or a circle.

I hope this helps!

Answer:

El monomio equivalente es \(\cos 5x \cdot \cos 2x\).

Step-by-step explanation:

Un monomio es una entidad algebraica consistente en un componente, el polinomio dado puede ser transformado mediante el uso de la siguientes propiedades trigonométricas:

\(\cos (\alpha + \beta) = \cos \alpha \cdot \cos \beta - \sin \alpha \cdot \sin \beta\)

Es decir:

\(\cos 7x + \sin 5x \cdot \sin 2x\) Dado

\(\cos (5x+2x) + \sin 5x\cdot \sin 2x\)

\(\cos 5x \cdot \cos 2x - \sin 5x \cdot \sin 2x + \sin 5x \cdot \sin 2x\)

\(\cos 5x \cdot \cos 2x\)

El monomio equivalente es \(\cos 5x \cdot \cos 2x\).

Answer

8 n-1(-6n)+3

Step-by-step explanation

Percentage that like Mushroom and Pepperoni Pizza is: 30%

Bar charts are used to show statistical data from different observations. If this statistic is in percent format, the bar chart is called a percent bar chart. Percentage bar charts can be in both vertical and horizontal format.  

From the given bar chart, we see that:

Friends that like cheese = 4

Friends that like Mushroom = 2

Friends that like Pepperoni = 1

Friends that like Supreme = 3

Total number = 4 + 2 + 1 + 3 = 10

Percentage that like Mushroom and Pepperoni Pizza = (2 + 1)/10 * 100%

= (3/10) * 100%

= 30%

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The interquartile range (IQR) is a measure of the spread or variability of the middle 50 percent of the data.

The interquartile range (IQR) is a statistical measure that describes the spread or dispersion of the middle 50 percent of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset.

The quartiles divide a dataset into four equal parts, each representing 25 percent of the data. The first quartile (Q1) represents the lower boundary of the middle 50 percent, while the third quartile (Q3) represents the upper boundary of the middle 50 percent. The IQR captures the range of values within this middle range.

By focusing on the middle 50 percent of the data and excluding the extreme values, the interquartile range provides a measure of variability that is less affected by outliers or extreme values. It is commonly used in descriptive statistics and data analysis to understand the spread and distribution of a dataset, particularly when the data is not symmetrically distributed or contains outliers.

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The minimum distance a participant must run in the race is 2400 meters when considering the requirement to start at one point, touch any part of the 1200-meter wall, and stop at another point.

To determine the minimum distance a participant must run, we need to consider the three components of the race: starting at one point, touching any part of the 1200-meter wall, and stopping at another point.

Starting at one point and stopping at another requires covering the distance between these two points. Since the starting and stopping points are not specified, we assume that they are located at the same spot on the track.

Next, the requirement to touch any part of the 1200-meter wall adds an additional 1200 meters to the total distance. This is because the participant needs to travel the full length of the wall to touch any part of it.

Combining these two distances, the participant must run a minimum of 1200 meters for touching the wall and another 1200 meters for traveling between the starting and stopping points. Thus, the total minimum distance a participant must run is 2400 meters.

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The Total surface of triangular prism  is 112 inches.

To calculate the surface area of a triangular prism, you need the measurements of the base and the height of the triangular faces, as well as the length of the prism.

The given measurements are;

Base ; 5 inches and  4 inches

height is 8 inches

Length of the prism is 2 inches.

To find the total surface area, we sum up the areas of all the faces:

Total surface area = area of triangular  faces + area of rectangular faces + area of lateral faces.

area of triangular faces = 5 inches × 4 inches = 20 inches.

area of the two faces = 20 ×2 =40

Area rectangular faces = 5 inches × 8 inches/ 2 = 40 inches.

Area of lateral faces = 8 inches ×2 = 16 square inches

for the two lateral faces is 16 × 2 = 32 square inches.

Total surface area = 40 square inches + 40 inches + 32 square inches = 112 square inches.

The Total surface of triangular prism  is 112 inches.

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Answer: -35x + 10

Step-by-step explanation:

Since there is no equal sign, you can only simplify the expression.

-5 (7x - 2)

You need to use distributive property (multiply the number outside the brackets by the numbers inside the bracket.

-5 x 7x = -35x

-5 x -2 = 10

Therefore, the answer is -35x + 10

The value of the arc is approximately 14.3 cm.

We are given that;

The angle = 62, 20

Now,

To find the value of arc if angle is 82 degrees

Step 1: Convert the angle from degrees to radians

Angle in radians = Angle in degrees x π/180 Angle in radians = 82 x π/180 Angle in radians ≈ 1.43

Step 2: Multiply the angle by the radius

Arc length = Angle x Radius Arc length = 1.43 x 10 Arc length ≈ 14.3 cm

Therefore, by the arc length the answer will be approximately 14.3 cm.

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Answer:

3

Step-by-step explanation:

speed is distance divided by time

Answer:

20 minutes

Step-by-step explanation:

Answer:

(- 12x ^ 2 + 8x + 27y)/(3x * y ^ 2)

Step-by-step explanation:

Answer:

cos(71)

Step-by-step explanation:

Since 19° is less than 90, we can express this in terms of confunction.

sin(θ) = cos(90-θ)

sin(19) = cos(90-19)

sin(19) = cos(71)

a. i. The change in the number of years since 2000 is not proportional to the change in the Burger Company's profit. This is because the profit is increasing by a fixed amount of $3,500 per year, not a proportionate amount based on the number of years.

ii. The number of years since 2000 is also not proportional to the Burger Company's profit. This is because the profit is not directly related to the number of years, but rather is increasing by a fixed amount of $3,500 per year.

b. i. The change in the number of miles driven is proportional to the change in the total cost of the rental car because the total cost is directly related to the number of miles driven, with a cost of $0.05 per mile.

ii. The number of miles driven is proportional to the total cost of the rental car because the total cost increases in direct proportion to the number of miles driven, with a cost of $0.05 per mile.

c. i. The change in the number cups of flour is proportional to the change in the number of cups of sugar because for every 3 cups of flour, there is 1 cup of sugar.

ii. The number of cups of flour is proportional to the number of cups of sugar because for every 3 cups of flour, there is 1 cup of sugar.

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The function is a sine function and, the height of the ball at equilibrium is a feet

The function of the height is given as:

h = a sin(b (t - h)) k

The above function is a sine function, and the amplitude of the function is the variable a

The amplitude is the height of the ball at equilibrium

Hence, the height of the ball at equilibrium is a feet

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Answer:

D

Step-by-step explanation:

a. the apothem of the pentagon is approximately 3.08 inches.

b. the area of the pentagon is approximately 23.07 square inches.

a. The apothem of a regular pentagon is given by the formula:

apothem = radius * cos(36 degrees)

where 36 degrees is half the angle at the center of the pentagon.

Using this formula, we get:

apothem = 4 * cos(36) ≈ 3.08 inches

Therefore, the apothem of the pentagon is approximately 3.08 inches.

b. The area of a regular pentagon is given by the formula:

area = (1/2) * perimeter * apothem

where the length of the pentagon on all sides is the perimeter.

The perimeter of the pentagon can be determined using the given side length of 3 inches:

perimeter = 5 * 3 = 15 inches

Using the apothem found in part (a), we can now find the area:

area = (1/2) * 15 * 3.08 ≈ 23.07 square inches

Therefore, the area of the pentagon is approximately 23.07 square inches.

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