−89 x 12 = c

what does c equal?

d x 88 = −88,000

what does d equal?

Answer:

We conclude that:

\(\left(4b\right)^3=64b^3\)

Step-by-step explanation:

Given

Let the expression

\(\left(4b\right)^3\)

To determine

Simplify the expression in only positive exponents

Simplifying the expression

Given the expression

\(\left(4b\right)^3\)

Apply exponent rule:  \(\left(a\cdot \:b\right)^n=a^nb^n\)

\(\left(4b\right)^3=4^3b^3\)

as 4³ = 64, so

        \(=64b^3\)

Therefore, we conclude that:

\(\left(4b\right)^3=64b^3\)

Answer: A = 15cm squared

Step-by-step explanation:

I think :)

Given that the base of the prism is 4 cm by 3 cm and the height is 5 cm, the volume can be calculated as:

The volume of the prism = (length x width x height)

By applying the given values:

Volume of prism = 4 cm x 3 cm x 5 cm

The volume of the prism = 60 cubic cm

That implies the volume of the rectangular prism is 60 cubic cm.

We know that the pyramid's base measures 4 by 3 cm and its height is 5 cm, the base's area may be calculated as follows:

Area of base = length x width

Area of base = 4 cm x 3 cm

Area of base = 12 square cm

The volume of the pyramid can now be calculated as:

Volume of pyramid = (area of base x height) / 3

Volume of pyramid = (12 square cm x 5 cm) / 3

The volume of the pyramid = 20 cubic cm

Therefore, the volume of the square pyramid is 20 cubic cm.

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Answer: x= 0, y = 4

Step-by-step explanation:

5x+2y=8

X+y=4 -> y=4-x

5x + 2(4-x)=8 -> 5x + 8-2x=8 -> 3x=0 -> x=0

y=4-x=4-0=4

Answer:

Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.

Step-by-step explanation:

To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:

1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.

2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).

3. Enter the cost of the truck, $12,000, in cell B2.

4. Use the following formula in cell C2 to calculate the depreciation rate for each year:

=MACRS.VDB(B2, 5, 5, 1, C1)

This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).

5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.

6. Use the following formula in cell D2 to calculate the annual depreciation for each year:

=B2*C2

This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.

7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.

8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:

=SUM(D$2:D2)

This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.

9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.

10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:

=B2-E2

This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.

11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.

12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.

Answer:

3.8 inches

Step-by-step explanation:

y = 0.2x + 2  Substitute in 9 for x

y = 0.2(9) + 2

y = 1.8 + 2

y = 3.8

Answer:

First, remember the relation:

Distance = Speed*Time.

We know that the distance is 120mi.

A) For the biker we know that:

Time  = 8hours.

Speed = Distance/Time = 120mi/8h = 15 mi/h.

B) For the bus we know that:

Time = 2 hours.

Speed = Distance/Time = 120mi/2h = 60 mi/h.

C) For the truck we know that:

Time = 2.5 hours.

Speed = Distance/Time = 120mi/2.5h = 48 mi/h.

D) For the rider on a horse we know that:

Time = 18.75 hours.

Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.

E) The equation for the speed is:

Speed = Distance/Time.

You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.

Then the speed is inversely proportional to the time when the distance is fixed.

Answer:

the answer is 0.25 or in fraction it's 1/4

Answer:

B = 1/4

Step-by-step explanation:

First we have to convert 3/2 with a denominator of 4.

3/2 = 6/4

We know that 7/4 minus 6/4 is equal to 1/4 so the answer is 1/4.

3/2 + 1/4 = 7/4

6/4 + 1/4 = 7/4

B = 1/4

Hope this helps! :)

Answer:

0

Step-by-step explanation:

anything to the power of 0 is 0

Answer:

5.6803 has five significant figures.

0.00047 has two significant figures.

0.240 has three significant figures.

Significant figures are numbers that are necessary to express a true value.

Place the values in scientific notation.

\(5.6803 * 10^{0} = 5.6803\\\\4.7 * 10^{-4} = 0.00047\\\\2.4 * 10^{-1}=0.240\)

5.6803

The zero that is within 5.6803 is "trapped," meaning it is in between two nonzero digits. Therefore, all five digits are significant figures.

This answer is also already in scientific notation because 5.6803 satisfies the inequality \(1 < x < 10\), which decides if a number is correctly written in scientific notation or not.

0.00047

The zeroes that precede the 4 and the 7 are not significant because they are dropped in scientific notation and are not trapped by other nonzero digits. Therefore, only two digits of this value are significant.

0.240

Since the zero at the end of 0.240 is a trailing zero, it is significant along with the 2 and the 4. The zero that precedes these digits and the decimal point is not significant. Therefore, only three digits of this value are significant.

Therefore:

5.6803 has five significant figures.

0.00047 has two significant figures.

0.240 has three significant figures.

In algebra, a number exists even equal to itself according to the reflexive property of equality. The equality's reflexive quality. If a is a number, then. a = a.

In algebra, a number is always equal to itself according to the reflexive property of equality. The equality's reflexive quality. If a is a number, then. a = a.

2. AD = BC due to the congruence of a rectangle's opposite sides.

3. Due to the reflexive property of congruence, DC=DC, each segment is identical to itself.

4. ADC and BCD are right angles since any rectangle's internal angles are right angles (Definition of rectangle).

5. Since they form right angles and all right angles are congruent, ADC=BCD.

6. ADC and BCD are congruent because they have two congruent sides (AD with BC and DC with DC) and a congruent angle between them: Side Angle Postulate Side Congruence Postulate (SAS Congruence Postulate).

7. AC must match BD because Congruent Parts in Congruent Triangles must match (CPCTC).

Statement                                    Reason

1. Rectangle ABCD                         Given

2. AD=BC                                        Opposite sides of a rectangle are congruent

3. DC=DC                                        Reflexive Property of Congruence

4. <ADC and <BCD are                  Definition of rectangle

  right angles

5.  <ADC=<BCD                              All right angles are congruent

6. ∆ADC=∆BCD                              SAS Congruence Postulate

7. AC=BD                                        CPCTC  

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Answer:

27

Step-by-step explanation:

f(x) = 5x - 8

f(7) = 5(7) - 8 = 27

Answer:

27

Step-by-step explanation:

f(x)=5x-8

Let x=7

f(7) = 5*7 -8

       =35-8

         27

Answer:

scale factor = \(\frac{3}{2}\)

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, copy to original, then

scale factor = \(\frac{21}{14}\) = \(\frac{3}{2}\)

The answer of this question is c) 0.828, which means that 82.8% of the variation of y is explained by the LSRL of y on x.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It can range from -1 to +1, with 0 indicating no linear relationship and values closer to -1 or +1 indicating stronger relationships.

The coefficient of determination (r^2) is the square of the correlation coefficient and represents the proportion of the variation in the dependent variable (y) that is explained by the independent variable (x) in a linear regression model. Therefore, if the correlation coefficient is 0.828, the coefficient of determination is 0.686, meaning that 68.6% of the variation in y is explained by the LSRL of y on x.

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Answer:

-5

Step-by-step explanation:

Just add the numbers and if they both got negative numbers it is negative

No equation in the answer choices has a solution pair of (-3,-2) as as evident from the computation below.

To determine which equations are not satisfied by the solution pair; (-3,-2), we must substitute the solution pair into each equation as follows;

It follows form the computation above that, the solution pair is not a solution to any of the equation choices.

Remarks:

Select one: a. −3x=4y−6 b. y=x−1 c. 5x+2y=−16 d. 2y−3x=0

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Answer:

a) 17

b) 50

c) 6

Step-by-step explanation:

a) 3x+y

3(5)+2

15+2

17

b) 2x²= 2×5²

2×25

50

c) (x-y)2= (5-2)2

(3)2

3×2

6

The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer:

your anwser is 1085

Step-by-step explanation:

As we can see from the truth table, regardless of the truth values of p, q, and r, the proposition p ∧ ¬p always evaluates to false. Therefore, it is a contradiction.

One proposition with three variables p, q, r that is always false is:

p ∧ ¬p

This proposition states that p is true and not true simultaneously, which is a contradiction.

Let's construct a truth table to demonstrate that this proposition is always false:

Note: Find the attached image for the truth table.

The proposition "p ∧ ¬p" is a logical contradiction because it asserts that a statement p is both true and not true at the same time. In logic, a contradiction is a statement that cannot be true under any circumstances.

To demonstrate this, we can use a truth table to analyze all possible combinations of truth values for the variables p, q, and r. In every row of the truth table, we evaluate the proposition "p ∧ ¬p" and observe that it always evaluates to false, regardless of the truth values of p, q, and r.

This consistent evaluation of false confirms that the proposition is a contradiction, as it makes an assertion that is inherently contradictory. In logic, contradictions have no possible truth value assignments and are always false.

As we can see from the truth table, regardless of the truth values of p, q, and r, the proposition p ∧ ¬p always evaluates to false. Therefore, it is a contradiction.

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Answer:

Money spend on drink  = £ 609

Step-by-step explanation:

Food : drink = 29 : 3

Money spend on food = 29x

Money spend on drink = 3x

Total money spend = 29x + 3x = 32x

32x = £6496

   x = 6496/32

  x = £ 203

Money spend on drink = 3x = 3 * 203 = £ 609

Answer:

who knows the answer if u know the answer pls tell

Answer:

Step-by-step explanation:

я хз

The weight of Kevin's parcel is 60 g.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a postage fee of Rs 2 for each gram of the weight of a parcel and an additional flat rate of Rs 30. and Kevin's postage fee was 150 less than 5 times the weight of his parcel,

Let the weight of the parcel be x

Establishing the equations,

5x - 150 = 30 + 2x

5x - 2x = 30 + 150

3x = 180

x = 180/3

x = 60

Hence, the weight of Kevin's parcel was 60g

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The length of the model when the scale given is used would be = 240 yards.

To calculate the length of the model, the formula for scale factor should be used. That is;

Scale factor = Actual length/Model length

The scale factor = 1/4

Actual length = 60 yards

Model length = ?

That is;

1/4 = 60/?

Model length = 60×4

= 240 yards

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Given:

The figure of a circle.

To find:

The measure of arc AD and measure of each arc.

Solution:

The measure of arc is equal to the central angle of that arc.

The central angle of arc AD is 105 degrees. So,

\(m(arc(AD))=105^\circ\)

The central angle of arc BC is 35 degrees. So,

\(m(arc(BC))=35^\circ\)

The central angle of arc CD is 50 degrees. So,

\(m(arc(CD))=50^\circ\)

The central angle of a complete circle is 360 degrees. So,

\(m(arc(AD))+m(arc(BC))+m(arc(CD))+m(arc(AB))=360^\circ\)

\(105^\circ+35^\circ+50^\circ+m(arc(AB))=360^\circ\)

\(190^\circ+m(arc(AB))=360^\circ\)

\(m(arc(AB))=360^\circ-190^\circ\)

\(m(arc(AB))=170^\circ\)

Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°

Answer:

6

Step-by-step explanation:

17/ 2.5 = 6.8

You can buy 6 gallons

Answer: 6 with a remander of $2

Step-by-step explanation:

The two column proof is written as follows

Statement                                                           Reason

line LQ || Line NP                                   given

< Q is congruent to < N                         Alternate interior angles

< L is congruent to < P                           Alternate interior angles

< LMQ is congruent to < PMN               Vertical angle theorem

Δ LMQ similar Δ PMN                            Definition of similar triangles

Similar triangles are triangles that have the same shape but may differ in size. In other words, they have the same angles but their sides may be of different lengths.

If two triangles are similar, it means that their corresponding angles are equal, and their corresponding sides are in proportion to each other.

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The probability of randomly selecting or fewer adults having excellent health is:P(X≤) = P(X=0) + P(X=1) + P(X=2) + … + P(X=) + P(X=)= (nC0) p0(1−p) n−0+ (nC1) p1(1−p) n−1+ (nC2) p2(1−p) n−2+ …+ (nC) p(1−p) n−= ∑ P(X≤) , where x=≤nCalculate the value of P(X≤)

The given data says that of adults questioned reported that their health was excellent and a researcher wishes to study the health of people living close to a nuclear power plant. Among adults randomly selected from this area, only reported that their health was excellent.The total adults who participated in the study are not given, so we cannot calculate the probability of randomly selecting adults from the given area. But, we can find the probability of adults who have excellent health from this area that is less than or equal to .To find the probability, we can use binomial distribution theory.

A binomial distribution is a discrete probability distribution of the number of successes in a sequence of independent trials with a given probability of success in each trial.Mathematically, a binomial distribution is represented by:P(x) = (nCx) px(1−p) n−xHere, n is the number of trials, p is the probability of success, and x is the number of successes.Using the above formula, we can find the probability of randomly selecting x adults having excellent health from n adults who participated in the study.

The probability of randomly selecting or fewer adults having excellent health is given by the sum of probabilities of randomly selecting 0, 1, 2, … , , , adult(s) having excellent health.P(X≤x)= P(X=0) + P(X=1) + P(X=2) + … + P(X=) + P(X=)Therefore, the probability of randomly selecting or fewer adults having excellent health is:P(X≤) = P(X=0) + P(X=1) + P(X=2) + … + P(X=) + P(X=)= (nC0) p0(1−p) n−0+ (nC1) p1(1−p) n−1+ (nC2) p2(1−p) n−2+ …+ (nC) p(1−p) n−= ∑ P(X≤) , where x=≤nCalculate the value of P(X≤) using the given information.

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Answer:

26

Step-by-step explanation:

(21+31+36+28+26+x)/6=28

21+31+36+28+26+x= 28×6

142+x =168

x=168-142

x=26

Total Twelve jars lorraine can fill with 4.5-gallon p tomatoes quantity and each jar will hold 1. 5 quarts of tomatoes.

We have, The quantity of tomatoes prepared by Lorraine = 4.5 gallon

The quantity of tomatoes which is hold by one jar = 1.5 quarts

As we know quarts and gallon are two basic units of measurement units. Also , we have

Total quantity to fill up in jars = 4.5 gallon

Conversion of measurement units : In terms of quarts units, one gallon quantity = 4 quarts

4.5 gallon quantity = 4 × 4.5 quarts

= 18.0 quarts.

Now, time's to determine how Maany jars Lorraine fill.

1.5 quarts tomatoes quantity filled up = one jar

1 quarts tomatoes quantity will fill = 1/1.5 jar

18 quarts tomatoes quantity will fill or number of jar that lorraine fill = 18× 1/1.5 = 18/1.5

= 180/15 = 12

So, the required number of jars is 12.

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Answer:

12

Step-by-step explanation:

i took the test :)

Answer:

14 pieces of candy

Step-by-step explanation:

Junior's candy tax is working great for him. When any other student buys candy from the student store,

We are told that Junior's tax =

Junior takes two pieces for himself for every five pieces the student buys.

If his friend George bought 35 pieces of candy, how many pieces will go to Junior?

The tax is represented as :

Junior : George

2 : 5

Hence:

2/5 = x/35

Cross Multiply

5x = 2 × 35

x = 70/5

x = 14

Hence, if George buys 35 pieces of candy, 14 pieces of candy goes to Junior