9-2(4x+5) if x = -4 HELPP

Answer:

6 gallons of gasoline

Step-by-step explanation:

1 gallon = 24 miles

you need to get 144 miles

144 divided by 24 = 6

there fore you need 6 gallons

hope it helps

Answer:

10

Step-by-step explanation:

30 x 10 = 300

Answer: 9 times less.

Step-by-step explanation:

The value of 3 in 1,234 is 30.

The value of 3 in 1,314 is 300.

The question asks how many times less is the value of 3 in 1,234 than the value of 3 in 1,314.

So to find how many times less it is, first we divide.

300 ÷  30 = 10

The value of 3 in 1,234 is 1/10th of the value of 3 in 1,314, which means that the value of 3 in 1,234 is 9 times less than the value of 3 in 1,314.

To explain, if you took the value of 3 in 1,234 (which is 30), and multiplied it by 9 (making it 270), that number would be the difference.

So 300(the value of 3 in 1,314) - 270(The difference) = 30(The value of 3 in 1,234)

The change in one variable related to the change in more than one other variable is measured using multiple regression analysis.

A statistical method known as multiple regression is used on datasets intended to show a link between a single response or dependent variable and a number of independent factors.

Even though linear regression is frequently employed, it can only be utilized with one independent variable and one dependent variable. Non-linear regression is not predicted by linear regression, which is also limited to the training dataset.

We employ multiple regression to account for the same restrictions. It focuses on removing one particular limitation, which is allowing for the analysis of multiple independent variables.

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Answer:

First day, N(1) = 4

Second day, N(2) = 4 + 3 = 7

Third day, N(3) = 4 + 6 = 10

Fourth day, N(4) = 4 + 9 = 13

Fifth day, N(5) = 4 + 12 = 16

Step-by-step explanation:

She spent 5 days on her vacation.

She collected 50 seashells in those days. Each day she collected 3 more than the previous day.

We can represent this with an arithmetic progression:

N(n) = x + 3(n - 1)

Where x is the amount of sea shells collected on the first day.

n = the particular day

So, for the five days day:

N(1) = x + 3(1 - 1) = x + 3(0) = x

N(2) = x + 3(2 - 1) = x + 3(1) = x + 3

N(3) = x + 3(3 - 1) = x + 3(2) = x + 6

N(4) = x + 3(4 - 1) = x + 3(3) = x + 9

N(5) = x + 3(5 - 1) = x + 3(4) = x + 12

The sum of all the sea shells is 50:

N(1) + N(2) + N(3) + N(4) + N(5) = 50

=> x + x + 3 + x + 6 + x + 9 + x + 12 = 50

5x + 30 = 50

5x = 50 - 30 = 20

x = 20 / 5

x = 4

Therefore:

First day, N(1) = 4

Second day, N(2) = 4 + 3 = 7

Third day, N(3) = 4 + 6 = 10

Fourth day, N(4) = 4 + 9 = 13

Fifth day, N(5) = 4 + 12 = 16

Answer:

A. L=0.2w+5

Hope this helps!!! :)

A watch that costs $12 US dollars would cost $14.40 Canadian dollars, option d is correct.

To convert US dollars to Canadian dollars using the exchange rate of 1.2 Canadian dollars per U.S. dollar, we multiply the amount of US dollars by the exchange rate:

$12 US dollars x 1.2 Canadian dollars per U.S. dollar = $14.40 Canadian dollars

An exchange rate is the rate at which one currency can be exchanged for another currency.

In this case, the exchange rate of 1.2 Canadian dollars per U.S. dollar means that for every U.S. dollar, you can exchange it for 1.2 Canadian dollars.

Therefore, a watch that costs $12 US dollars would cost $14.40 Canadian dollars at an exchange rate of 1.2 Canadian dollars per U.S. dollar.

The answer is option D, $14.40 Canadian dollars.

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The tent has a volume of 86 cubic feet.

The tent owned by Dante is in the shape of a triangular prism, which means it has two identical equilateral triangle bases that measure 5 feet each. The tent's length is 8 feet, and its height is 4.3 feet.

To calculate the tent's volume, we can use the formula for the volume of a triangular prism, which is \(V = (1/2) * b * h * l\), where b is the base, h is the height, and l is the length of the prism.

Plugging in the given values, we get \(V = (1/2) * 5 * 4.3 * 8\) = 86 cubic feet. The volume of a tent is an important consideration when deciding which one to purchase or use for a particular activity, as it determines how much space is available inside for people and belongings.

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Answer:

66°

Step-by-step explanation:

x+114°=180°

x+114°-114°=180°-114°

x=66°

Answer:

300,000, 10 million, 15 million, 240 million, and 4.6 billion

Step-by-step explanation:

We can say that after answering the offered question The terms in the equation given equation can be streamlined and rearranged to produce the following equation: 23p – 101 = 64p – 40

An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.

Using the equality properties, we can rewrite the preceding equation as follows:

2.3p – 10.1 = 6.5p – 4 – 0.01p

2.3p – 10.1 = 6.49p – 4

We can alter the equations using the equality characteristics to look for equations that have the same solution. The answers to the next two equations are the same as those for the previous one:

2.3p – 10.1 = 6.4p – 4

The following equation can be created by adding 0.09p to both sides of the given equation:

2.3p - 10.1 + 0.09p = 6.5p - 4 - 0.01p + 0.09p

2.39p – 10.1 = 6.4p – 4

23p – 101 = 65p – 40 – p

The terms in the given equation can be streamlined and rearranged to produce the following equation:

23p – 101 = 64p – 40

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Answer:

t=−7

Step-by-step explanation:

FIRST

a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer:

9.6 inches

Step-by-step explanation:

cos 50 =(1/2 base) / side      base =12

cos 50 = 6 / side

0.6248 = 6 / side

side=6 / (0.6248)=9.6 inches

The NPV is -$37.65 and the IRR is approximately 11.55%. To calculate the net present value (NPV) and internal rate of return (IRR), we need to consider the cash flows and the discount rate.

Given cash flows:

Year 0: $0

Year 1: -$860

Year 3: $920

Discount rate: 8%

First, let's calculate the present value (PV) of each cash flow using the discount rate:

Year 0: $0 (no cash flow)

Year 1: PV = -$860 / (1 + 0.08)^1 = -$796.30

Year 3: PV = $920 / (1 + 0.08)^3 = $758.65

Now we can calculate the NPV by summing up the present values of all cash flows:

NPV = PV(year 1) + PV(year 3)

= -$796.30 + $758.65

= -$37.65

The NPV is -$37.65.

To calculate the IRR, we need to find the discount rate that makes the NPV equal to zero. In this case, we can use the trial and error method or utilize financial software or calculators to find the IRR. Let's assume the IRR is r%.

Using the cash flows and the IRR:

Year 0: $0

Year 1: -$860

Year 3: $920

Setting the NPV equal to zero:

0 = PV(year 1) + PV(year 3)

\(0 = -$860 / (1 + r)^1 + $920 / (1 + r)^3\)

Solving this equation for r gives us the IRR. However, solving this equation analytically can be complex, so it's better to use financial software or calculators.

Using a financial calculator or software, the IRR for these cash flows can be calculated as approximately 11.55%.

Therefore, the NPV is -$37.65 and the IRR is approximately 11.55%.

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Answer: x= 5.3

Step-by-step explanation:

Looking for side opposite and adjacent so we use tangent or tan. The equation is Tan(angle) = opposite/adjacent so input the numbers... Tan24=x/12 and to solve for x(missing side) multiply both sides by 12 to cancel out and get 5.3427 rounded is 5.3

Answer:

$16,106,127.36 after 30 days

Step-by-step explanation:

This situation could be modeled by the equation \(x(2)^{t-1}\) where x is the initial value and t is the time. x is the value on "the first day", so in this situation, we would substitute 0.03 for x, giving us \(0.03(2)^{t-1}\).
Then, we plug 30 into this equation, which would give us \(0.03(2)^{29}\).
\((2)^{29}\) is equal to 536,870,912-->multiplying this by 0.03 would give us $16,106,127.36

Answer. 655.4

Step-by-step explanation:

what did u get?

Answer:

She has  n= 4 side dishes.

Total side dishes ordered = 5n = 20

Step-by-step explanation:

The total cost is given by

TC= 10 . 50 + 1 . 50 ( n − 1 )

She orders same 5 lunches for $ 75

$ 75= 5{ 10 . 50 + 1 . 50 ( n − 1 ) }

Or

Cost of 1 lunch would be $ 15

$ 75/5 = { 10 . 50 + 1 . 50 ( n − 1 ) }

or

$ 15 = 10 . 50 + 1 . 50 ( n − 1 )

$ 15-$  10 . 50 = 1 . 50 ( n − 1 )  

$ 4.5/ 1.5= n-1

$ 3= n-1

3+1= n

n= 4

She has  n= 4 side dishes.

Total side dishes ordered = 5n = 20

She spent

$ 1.50 ( 4-1) = $ 4.5 each day or $22.5 on side dishes for 5 days.

Answer:

The factored form of the equation is f(x) = (x - 2)(x + 10), which makes the zeros of the function x = -10 and x = 2.

In order to factor a quadratic like this, you must find factors of the constant (in this case -20). The pairs of factors are listed below.

1 and -20

-1 and 20

2 and -10

-2 and 10

4 and -5

-4 and 5

Now we must pick out the pair that add to the coefficient of x.

1 and -20

-1 and 20

2 and -10

-2 and 10

4 and -5

-4 and 5

Once you've picked out those numbers, you can place each in a parenthesis with x.

f(x) = (x - 2)(x + 10)

Then to find the zeros to the equation, set each parenthesis equal to 0 and solve.

x - 2 = 0

x = 2

x + 10 = 0

x = -10

Step-by-step explanation:

hope this helps:)

Answer: 64

Step-by-step explanation: 1,728 divided by 27 = 64

Step-by-step explanation:

I even wanted to help but I also don't know

Answer:

33.3

Step-by-step explanation:

use tan

tan(39) = opposite / adjacent

tan(39) = 27 / x

x = 27/ tan(39)

x = 33.3

hope this helps,

have a good day

1993.5232 ml chocolate milk will the container hold if it is filled to the top.

volume is the amount of space in a certain 3D object

Given:

h= 15.5 cm, d= 12.8 cm , r= 6.4 cm

Volume of cylinder,

=πr²h

=3.14*6.4*6.4*15.5

=1993.5232 cm³

=1993.5232 ml

Hence, 1993.5232 ml chocolate milk will the container hold if it is filled to the top.

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The estimated cost of the new 3000-ft2 heat exchange system for the plant retrofit can be calculated using the power-sizing exponent and the price index. Based on the given information, the rough estimate for the cost of the new heat exchanger system is approximately $108,984.

To estimate the cost of the new heat exchange system, we need to consider the price index and the power-sizing exponent. The price index provides a measure of the change in prices over time. In this case, the price index 7 years ago was 1360, and the current price index is 1478.

To calculate the cost estimate, we can use the following formula:

Cost estimate = (Cost of previous heat exchanger) × (Current price index / Previous price index) × (New size / Previous size) ^ power-sizing exponent

Using the given information, the cost of the previous heat exchanger was $75,000, the previous size was 1200 ft2, and the new size is 3000 ft2.

Plugging in these values into the formula, we get:

Cost estimate = ($75,000) × (1478 / 1360) × (3000 / 1200) ^ 0.55

Simplifying the calculation, we find:

Cost estimate ≈ $108,984

Therefore, a rough estimate for the cost of the new 3000-ft2 heat exchanger system for the plant retrofit is approximately $108,984. It's important to note that this is just an estimate and the actual cost may vary based on specific factors and market conditions.

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Since the rectangular prism and pyramid have congruent bases and height, they are similar. Therefore, the ratio of their volumes is equal to the cube of the ratio of their corresponding side lengths.

Let's call the side length of the base of the pyramid "x". Then, the volume of the pyramid is:

V(pyramid) = (1/3) x^2 * h

where h is the height of the pyramid. We know that V(pyramid) = 48 in.3, so:

48 = (1/3) x^2 * h

Since the rectangular prism has the same base as the pyramid, its base also has side length "x". The height of the prism is also equal to the height of the pyramid. Therefore, the volume of the rectangular prism is:

V(prism) = x^2 * h

To find V(prism), we need to know the value of h. We can use the equation above to solve for h:

48 = (1/3) x^2 * h
144 = x^2 * h
h = 144/x^2

Now we can substitute this value of h into the equation for V(prism):

V(prism) = x^2 * (144/x^2)
V(prism) = 144 in.3

Therefore, the volume of the rectangular prism is 144 in.3.

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Answer:

x=4

Step-by-step explanation:

first you would factor the -2(2x-1). -2x2x= -4x, -2x-1= 2

the equation would then be 5x-4x+2=6

add the x's together which turns the equation to 1x+2=6

minus 2 from both sides of the equation which gives you x=4

The required value of x would be 4 in the given equation 5x − 2(2x − 1) = 6.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have to determine the value of x in the equation

Given that the equations as :

⇒ 5x − 2(2x − 1) = 6

Open the parentheses and apply the multiplicative property,

⇒ 5x - 4x + 2 = 6

Apply the subtraction operation in the terms of x

⇒ x + 2 = 6

⇒ x = 6 - 2

⇒ x =  4

Therefore, the required value of x would be 4 in the equation

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The value of m and n of the parallelogram is given by the equations ,

The value of m = 5

The value of n = 12

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

The measure of side AB = m + 1

The measure of side BC = 12

The measure of side CD = 6

The measure of side CA = n

And , for a parallelogram opposite sides are parallel and opposite sides are congruent

Now , the measure of side AB = measure of CD

The measure of side BC = measure of CA

Substituting the values in the equation , we get

m + 1 = 6

And , n = 12

Subtracting 1 on both sides of the equation , we get

m = 5

Hence , the value of m and n of parallelogram are 5 and 12 respectively

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In the above equation 3ln2 + ln8 = 2ln (4x), the value of x is 2.

According to the question, given that

Equation  3ln2 + ln8 = 2ln (4x)

  3ln2 + ln8 = 2ln (4x)

⇒ ln8 + ln8 = 2ln4x                                       (m l n n = \(lnn^{m}\))

⇒ 2ln8 = 2ln4x

⇒ 4x = 8

⇒ x = 2

Therefore, we get the value of x of given equation 3ln2 + ln8 = 2ln (4x) is 2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It shows that the expressions printed on the left and right sides have an equal relationship.

Following are the steps to solve a linear basic equation with one variable:

Step 1: Apply arithmetic operations to both sides of the equation to bring all the terms with variables to one side and all the constants to the other.

Step 2: Add or subtract all phrases that are similar (terms with the same variable and the same exponent).

Step 3: Simplify it to find the solution.

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