In 10 and 11 complete each sentence then use the laws of exponents to write an equivalent expression for the given expression.

Answer:

1100000

Step-by-step explanation: If x = 300,000, that means 2x is 2 x 300,000, and that makes the equation 500,000 + ( 2 x 300,00). Please don't judge me, I am only in 7th grade. Thank you.

The polynomial expression for the profit from making and selling x model kits is 28x - 500,000 - 0.00005 x² and the profit is 3400000.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

It is given that:

Suppose the cost in dollars of producing x model kits is given by the polynomial 500,000 + 2x and the revenue generated from sales is given by the polynomial 30x - 0.00005 x².

The profit = revenue - cost

The profit = (30x - 0.00005 x²) - (500,000 + 2x)

The profit = 30x - 0.00005 x² - 500,000 - 2x

The profit = 28x - 500,000 - 0.00005 x²

Plug x = 300,000 in the profit expression.

The profit = 3400000

Thus, the polynomial expression for the profit from making and selling x model kits is 28x - 500,000 - 0.00005 x² and the profit is 3400000.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ2

The lengths of the three sides of the triangular lot are: 100 feet, 200 feet and 400 feet.

What is a triangle and its perimeter?

A triangle is a polygon with three edges and three vertices.

Given:

To find: All the sides of the triangular lot.

FInding:

Let the shortest side of the triangular lot be 'x'.

Then, according to the question, one side of the triangular lot = 100 + x and other = 300 + x

As perimeter of a triangle = sum of all the sides,

=> 1300 = x + 100 + x + 300 + x

=> 1300 - 400 = 3x

=> 900 = 3x

=> 300 = x

Hence, the shortest side = 100 feet, a longer side = 200 feet, the longest side = 400 feet for the given triangular lot.

To learn more about triangles, refer to the link: https://brainly.com/question/25215131

#SPJ4

When a portion of an original figure corresponds to a portion of a duplicate, we refer to them as corresponding parts. This could be in the form of points, segments, angles, or distances.

Parts that match between two congruent triangles are said to as matching. You can identify the corresponding angles and sides.

Triangles are congruent when all 3 types of corresponding sides are congruent. Two triangles have three sides that are equivalent.

The equals sign with a squiggly line on top indicates that the items on each side of the equation were congruent. Then, identify the corresponding sides. Corresponding sides are sides that match between two triangles. Congruent triangles will have the same length.

To know more about corresponding parts visit:

https://brainly.com/question/20691277

#SPJ9

Answer:

it's B

Step-by-step explanation:

after a long section it is B

Considering the definition of an equation and the way to solve it, the number of miles in a day at which the rental costs for Company A and Company B are the same is 200.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear.

The members of an equation are each of the expressions that appear on both sides of the equal sign.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

First, you define the variable "m" as the number of miles rented from a truck to a company in a day. You know that:

So the price of each company is:

If the rental costs for Company A and Company B are the same, the equation in this case is:

Price of company A= Price of company B

130 + 0.30m= 70 + 0.60m

Solving:

130 - 70= 0.60m - 0.30m

60= 0.30m

60÷0.30= m

200= m

In summary, the number of miles in a day at which the rental costs for Company A and Company B are the same is 200.

Learn more about equations:

brainly.com/question/4983716

brainly.com/question/13314678

#SPJ1

Deducted from her paycheck this week for Social Security is $31.13.Medicare is equal to $7.28.

Maria Wehstone, Gross weekly income = 502.16 and annual earnigs till date = 20,086.40

Deduction for this week for social security = 6.20% of 502.16$ = $31.13

Deduction for this week for Medicare = 1.45% of 502.16$ = $7.28

Social security is the safety net that a society offers to people and families to ensure that they have access to health care and to assure financial stability, particularly in circumstances of old age, unemployment, illness, invalidity, work injuries, maternity, or the death of a primary earner.

Based on their career earnings, Social Security replaces a portion of your pre-retirement income. Depending on how much you earn and when you decide to begin receiving benefits, Social Security replaces a different percentage of your pre-retirement income depending on your top 35 years of earnings.

To learn more about Social Security visit:https://brainly.com/question/23913541

#SPJ1

Answer:

1106.4.

Step-by-step explanation:

10*3 = 1000

106.4 + 1000

= 1106.4.

Answer: 1106.4

Step-by-step explanation:

[tex]106.4+10^3=\\106.4+10*10*10=\\106.4+1000=\\1106.4[/tex]

The formula for calculating the probability of one success under certain conditions is:

x=0.4.

"The ratio of the number of favorable outcomes to the total number of outcomes is the standard mathematical definition of probability. Probability is never more than one, and it is never equal to that number."

Generally, the equation for Probability is  mathematically given as

Probability [tex]$={ }^n C_r p^r q^{n-r}$[/tex]

According to the question,

Total number of trials n'=4

Number of successes r =1

p=0.35

q=1-0.35

q=0.65

Simply replace the value in order to calculate the appropriate probability.

[tex]\text { Probability } &={ }^4 C_1(0.35)^1(0.65)^{4-1} \\[/tex]

[tex]&=\frac{4 !}{(4-1) ! 1 !} \times \frac{35}{100} \times\left(\frac{65}{100}\right)^3 \\[/tex]

[tex]&=4 \times \frac{35}{100} \times \frac{274625}{1000000} \\[/tex]

=0.384475

=0.4

Hence, the probability of 1 success as per the given condition is equal to 0.384475= 0.4.

Read more about  probability here

brainly.com/question/11234923

#SPJ1

Answer:

D

Step-by-step explanation:

x>10 is your answer. since theres no less than or greater or equal to c and B are automatically out. x>10 says x is greater then 10 so it is D

Its B, always remember to check if the dot is opened or closed on the line!!

The length of the side of the cube is 100 centimeters

The formula for volume of a cube is expressed as:

Volume, V = a³

Where a is the length of its side

Given that the volume is 1 million cubic centimeters = 1, 000, 000

Substitute the values

1, 000, 000 = a³

Find the cube root of both sides

a = ∛10^6

a = 100 centimeters

Thus, the length of the side of the cube is 100 centimeters

Learn more about volume here:

https://brainly.com/question/1972490

#SPJ1

Answer:

m represents the slope.

Step-by-step explanation:

m represents the slope. To find the slope, you can use the slope formula.

m=slope

b=y-intercept.

Hope this helps!

Please mark as brainliest if correct!

Using translation concepts, the coordinates of the image of the triangle are given as follows:

A'(-1,-4), B'(-2,0), C'(-3, -11).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The rule for a 90° counterclockwise rotation about the origin is given as follows:

(x,y) -> (-y,x).

Hence the coordinates of the image of the triangle are given as follows:

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

14

Step-by-step explanation:

Let x = number of rides.

Tony's cost: 4.5x + 25

Ride's cost: 5x + 18

Set the prices equal and solve for x.

5x + 18 = 4.5x + 25

Subtract 4.5x from both sides.

0.5x + 18 = 25

Subtract 18 from both sides.

0.5x = 7

Multiply both sides by 2.

x = 14

Answer: 14

Answer:

-2/3

Step-by-step explanation:

(x1, y1) = (4, 1)

(x2, y2) = (1, 3)

m = (y2 - y1) / (x2 - x1) = (3 - 1) / (1 - 4) = 2 / (-3) = -2/3

Note that we used the point with the bigger x as the "first" point. It does not change the result.

The percentage by which the price of the shirt is decreased is 20%.

So, the price of a shirt is marked down from $12.50 to $10.00.

Then,

Now, the shirt's percentage has decreased:
(Change in price)/(Previous price) ×100

Therefore, the percentage by which the price of the shirt is decreased is 20%.

Know more about percentages here:

https://brainly.com/question/24304697

#SPJ1

Answer:

x * 5

Step-by-step explanation:

prosucts refer to multiplication

The numbers from least to greatest are -

square root of 7, 2.8, square root of 7 and 4.6.

Descending pattern is defined as it is when numbers (and other objects) are arranged in descending order from the largest to the smallest numbers.

Ascending is defined like when numbers (or even other items) are positioned in ascending order from the smallest to the largest numbers.

We have the numbers provided as;

4.6, 2.8, square root of 17 and the square root of 7.

Then,

square root of 7

√7 = 2.645, and

square root of 17

√17 = 4.123

Thus, the given series becomes;

4.6, 2.8, 4.123, 2.645.

Now, arranging them according to ascending order (least to greatest).

2.645, 4.123, 2.8 and 4.6.

Therefore, the series becomes; square root of 7, 2.8, square root of 7 and 4.6.

To know more about the square root, here

https://brainly.com/question/428672

#SPJ9

The total proportion of shirts between two prices is 0.9431, which is obtained using the knowledge of proportion and statistics.

What is proportion?

In mathematics, a proportion is defined as the comparison between two numerical quantities. If both possess the same nature, they are called directly proportional, or else called inversely proportional.

Calculation of the proportion based on the problem

The mean and standard deviation are given to be 45 and 5 respectively

Calculate standard normal variate using the formula, z = (x - 45) / 5

Taking x = 37, we get,

z1 = (37 - 45) / 5

= -1.6

Using the z table, we get the value, z1 = 0.0548

Now, taking x = 59.35, we get,

z2 = (59.35 - 45) / 5

= 2.87

Using the z table, we get the value, z2 = 0.9979

The proportion between two prices is given by z = z2 - z1

z = 0.9979 - 0.0548

= 0.9431

Hence, the proportion of shirts between the two prices is 0.9431.

To learn more about the proportion, visit here:

https://brainly.com/question/870035

#SPJ4

Answer:

Screenshot

Step-by-step explanation:

The y-intercept is -5 so the line hits the y-axis at -5. The slope of the line is 1/2 so the line goes up one and to the right two each time.

After converting all the given units of length into meters we get,

[tex]108 in = 2.7432 m\\108 ft = 32.9184 m\\12 ft = 3.6576m\\1 yd= 0.9144m[/tex]

As per the question statement, we are supposed to convert these given units of length into meters i.e., 108 inches, 108 feet, 12 feet, 1 yard.

We know

[tex]1 foot = 12 inches[/tex]

[tex]1 inch = 2.54 cm\\[/tex]

[tex]12 inches = 2.54*12=30.48 cm\\1 cm = 0.01 m \\30.48 cm = 0.3048 m[/tex]

Therefore, we can infer that 1 foot = 0.3048 m

So,

[tex]108 in = 2.7432 m\\108 ft = 32.9184 m\\12 ft = 3.6576m\\[/tex]

Now it is a standard that 1 yard equal to 0.3048 meter

This question is a classic example to the conversion of length from one unit to another.

To learn more about unit conversion, click on the link given below:

https://brainly.com/question/27971860

#SPJ9

The claim that a researcher may infer a causal link between variables if one effects another is False.

If a change in one variable's level results in a change in the other variable, then there is a causal relationship between the two variables. Keep in mind that correlation does not always imply causation. Two variables may be linked together without one of them directly contributing to the other's observable behavior.

For instance,

the chart below illustrates the relationship between ice cream sales and temperature. Any business can utilize the concept of causality. As is clear from the graph, there is a correlation between warmer weather and increased sales.

A casual relationship between two variables only exists when one of the variables actually causes the other to exist, which does not appear to be the case here. Instead, since a change in one variable affects the other, this scenario can be thought of as a correlated relationship.

To know more about causal relationship visit:

https://brainly.com/question/14127087

#SPJ4

I understand that the question you are looking for is:

a researcher may claim a causal relationship between variables if one variable influences another. please select the best answer from the choices provided.(True/False).

Answer:

The child grew 8 inches. Hope this helps.

The correct answer is (4x^3 - 8x^2 )

Solve by using Foil's Method

Multiply (x - 3)(4x^2)

Begin, by multiplying together, the first terms of binomial

= x * 4x^2 = 4x^3

Now, multiply the last term of binomial.

= -3 * 4x^2 = -12x^2

Sum up the partial products starting from the first to last product from the first to last product and collect it:

=(4x^3 - 8x^2 )

Now, Let us know

What is Foil's Method ?

FOIL a mathematical series of steps used to multiply two binomials.

By definition we have the meaning of FOIL is given by:

F: First

O: Outer

I: Inner

L: Last

Binomial is simply an expression that consist of two variables or terms separated by either the addition sign (+) or subtraction (-).

Learn more about Foil's Method at:

https://brainly.com/question/10466177

#SPJ4

Answer:

1/6

Step-by-step explanation:

1/2 * 1/3 = 1/6

He ate 1/6 of the whole pan.

Answer: svsdvcvsdvsdvsdv

vdsvds

Step-by-step explanation:

ght 4.8 pounds of chocolate covered almonds and 3.7 pounds of yogurt covered almonds how much did he spend

Answer:

43.6

Step-by-step explanation:

If f is differentiable on a closed interval [a,b] and if f' is continuous on the interval [a,b], Then f is Lipschitz on [a,b].

What is a Lipschitz function?

Now,

Hence, If f is differentiable on a closed interval [a,b] and if f' is continuous on the interval [a,b], Then f is Lipschitz on [a,b].

To learn more about Lipschitz function, refer to the link: https://brainly.com/textbook-solutions/q-22-expand-equation-f-x-x-4

#SPJ4