Given: AB=BC AC < bisector of

Answer:

D) 16

Step-by-step explanation:

A=4

[tex]a^3[/tex]/a=?

[tex](4^3)[/tex]/(4)=?

64/4=16

Answer: 33577

Step-by-step explanation:

3x3x5x7x7 = 2205

Answer:

n * 21 = m * 18       one runs n laps and one runs m laps to again be together at the same place

7 n = 6 m        divide by 3

one runs 7 * 18 = 126 min

the other runs 6 * 21 = 126 min

After 126 min they will be together at the start

Answer:

84.6

Step-by-step explanation:

The graph that shows Harper's data about temperature and time is shown below .

The graph is a relation that represents the relationship between two variables on the x and y axis .

In the question ,

Harper's data of time of day and the temperature, in degrees Fahrenheit is given,

the temperature at 6 a.m. = 58° F

for the next 3 hours the temperature rose 4° each hour means

in 3 hours it will rise 12°

So , the temperature at 9 a.m. = 70° F

For the next 5 hours, it rose 1° per hour which means

in 5 hours it will rise 5°

So , the temperature at 2 p.m. = 75° F

The temperature then stayed steady until 6 p.m. which means

temperature at 6 p.m. = 75° F

For the next 2 hours, the temperature dropped 1° per hour , which means

temperature at 8 p.m. = 73° F

the temperature at midnight = 70° F

So , from the above data the graph is shown below .

Therefore , The graph that shows Harper's data about temperature and time  is shown below .

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The total distance traveled by the patient in 1 hour and 10 minutes is 10.6 kilometers.

The distance is the length from one point to the end.

For our purpose, distance represents the product of speed and time.

Diameter of the bicycle's wheel = 590 mm

Speed (Revolutions) per minute = 82 rpm

Time riding the bicycle = 1 hr and 10 minutes = 70 minutes

1 Kilometer = 1,000,000 Millimeters

Distance per rotation = pi x diameter

= 3.14 x 590

= 1,852.6 mm/minute

Total distance traveled in kilometers = (1,852.6 x 82 x 70) ÷ 1,000,000

= 10,633,924 ÷ 1,000,000

= 10.6 kilometers

Thus, we can conclude that the patient traveled 10.6 kilometers by bicycling for one hour and 10 minutes.

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The least number of items that can be produced so that the average cost is no more than $24 is 95.

According to the question,

We have the following information:

The function C(x)=−21x+2025 represents the cost to produce x items.

Cost should be no more than $24.

So, we have the following inequality to find the number of items:

-21x+2025 ≤24

Subtracting 2025 from both sides:

-21x≤24-2025

-21x ≤ -2001

Dividing both sides by -21:

x ≤ 2001/21

x ≤95.28

Hence, the least number of items that can be produced so that the average cost is no more than $24 is 95.

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$142428 income earned. A sales commission is a payment made to an employee after they successfully complete a task, typically selling a predetermined volume of goods or services.

A type of variable-pay compensation for goods or services sold are commissions. Salespeople are frequently encouraged and rewarded with commissions. Additionally, commissions can be created to promote particular sales habits. For instance, commissions may be decreased while providing significant discounts.

Let X be the sales for a man

so7% of sales=7x/100

Total that needs to be earned=$11470

So,

Total needs to be earned= salary +commission on sale

11470=1500+7x/100

11470-1500=7x/100

9970=0.7x

X=9970/0.7

X=142428

Therefore $142428 income earned .

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The number of minutes is 195 minutes when the customer spends $267.00. The correct option is B.

From the information, the total cost of a plane ride, C, is given as a function

C = $33.00 + $1.20m

where n = number of minute

Since the customer spends $267.00 on a plane ride, this will be:

C = = 33.00 + $1.20m

33 + 1.2m = 267

Collect like terms

1.2m = 267 - 33

1.2m = 234

Divide

m = 234 / 1.2

m = 195

Minutes used is 195 minutes

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According to the solving the percent error = 11.764%

The percent error is the distinction between the estimated value and the real value in relation to the actual value. In those other words, the relative error is multiplied by 100 to calculate the percent error.

The difference between an approximate number and an exact value is measured in percent error. The bigger the percentage error, the further your estimated value deviates from the known value; conversely, the smaller the percentage error, more closer your approximation to the true value.

Actual value = 408

Expected value = 456

We know that the percent error :

= (expected value - actual value)/actual value.

= (456 - 408)/ 408

= 48/408

= 11.764

= 11.764%

According to the solving the percent error = 11.764%

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Trignometric equation can be used to answer this:

acc to our question-

5. cos(75)= 2-√3

6. tan(22/7)= 1+√2

7. sin 3π/6= √2-√√2/2

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Answer:

Step-by-step explanation:

The answer would be 1.82448

Answer: 24 kids playing

Step-by-step explanation: Since the ratio of the kids playing and resting is 3:1, and there are 8 kids resting, replace the 1 with 8, and multiply the 3 with 8 to make the equation balanced. 24:8!

The family coverage paid by Martha's employer for health care coverage is $2592.

What is a health care coverage?

Health insurance is a sort of insurance that pays for unexpected medical costs brought on by a disease. These expenditures may be associated with the price of hospitalisation, or the cost of medical visits.

Main body:

Let the total biweekly salary of Martha be x.

Therefore according to question :

18% of x =$108

(18/100)*x =108

x= 600

Martha earns $600 biweekly.

monthly earning of Martha be 600*2 =$1200

Therefore total coverage annually = 108*total salary day

                                                          =108*24

                                                          =$2592

Hence the answer is $2592.

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The initial population of the bacterial population at time t = 0, can be found to be 1,406.25.

The size of the bacterial population after 3 hours is 720,000.

The doubling period of the bacterial population is said to be 20 minutes. The number of doubling periods in 120 minutes is:

= 120 / 20

= 6 doubling periods

The initial population is:

= Population at 120 minutes / 2 ^ number of doubling periods

= 90,000 / 2⁶

= 1,406.25

The bacterial population at 3 hours is:

= Bacterial population at t = 0 x 2 ^ number of doubling periods in 3 hours

= 1,406.25 x 2 ^ (180 minutes in 3 hours / 20)

= 1,406.25 x 2⁹

= 720,000

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The average speed for the given situation is 56 mph.

Given that, Abby 3 hours to drive from Ashdown to Bridgeton at an average speed of 60 mph.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Now, distance = Speed × Time

= 60 × 3

= 180 miles

She then drives 30 miles from Bridgeton to Carton at an average speed of 40 mph.

Now, Time = 30/40

= 0.75 hours

Total time =3+0.75=3.75 and total distance =180+30=210

Then average speed = 210/3.75

= 56 mph

Therefore, the average speed for the given situation is 56 mph.

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Step-by-step explanation:

here's the answer, all of them

There are total 8 possible outcomes if we flip penny , nickel , dime together. We can show these outcomes by the Tree diagram  or by  listing each outcome separately.

The one way to create an organized list to represent the sample space

Penny      NICKEL       DIME

 H               H               H

  H               H               T

  H               T               H

  H               T               T

  T               H               H

  T               H               T

  T               T               H

  T               T               T

The another way to create an organized list to represent the sample space is to make a tree diagram .

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The Sum of dollars in decimal is not a whole number.

Whole numbers are made up of natural numbers plus the number zero. In mathematics, the set of whole numbers is symbolized by the symbol W and is given as W = {0, 1, 2, 3, 4, …}.

To calculate a number of dollars that is not a whole number.

As an example, consider the sum of $5.89 and $1.45:

$5.89 + $1.45

Taking the whole numbers first:

$5 + $1 = $6

Take the sum of the decimals :

$0.89 + $0.45 = $1.34

sum of original whole + sum of decimal whole

$6 + $1 = $7

Remaining decimal: $1.34 - $1 = $0.34

$7 + $0.34 = $7.34

Therefore $7.34 is not a whole number

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The solution of the equation given as 1/3a² + a=0 is a = 3

From the question, we have the following equation that can be used in our computation:

1/3a^2+a=0

Rewrite the equation properly

So, we have

1/3a² + a=0

Multiply through the above equation by 3

So, we have the following equation

3 * (1/3a² + a) =0 * 3

Evaluate the products

So, the equation becomes

a² + 3a = 0

Next, we divide through the equation by the variable a

This gives

a + 3 = 0

Subtract 3 from both sides of the equation

i.e. Add -3 to both sides of the equation

a = -3

The above equation cannot be solved further.

So, we leave it like that and stop solving

Hence, the solution to the equation is a = -3

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The cost of topsoil per ton would be $48.

The cost of pea gravel per ton is  $20.

The cost of mulch per ton is $479.

What is the linear equations in two variable?

A linear equation in two variables is one that is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are not equal to zero. For example, 10x+4y = 3 and -x+5y = 2 are two-variable linear equation.

We have,

7 tons of topsoil, 6 tons of mulch, and 3 tons of pea gravel for $3270.

5 tons of topsoil, 5 tons of mulch, and 5 tons of pea gravel for $3015.

Let,

cost of topsoil per ton = x

cost of pea gravel per ton = x - 28

cost of mulch per ton = m

7x + 6m + 3(x - 28)  = 3270

7x + 6m + 3x - 84  = 3270

10x + 6m = 3270 + 84

10x + 6m = 3354 -------------(i)

5x + 5m + 5(x - 28)  = 3015

5x + 5m + 5(x - 28)  = 3015

10x + 5m = 3015 - 140

10x + 5m = 2875 -----------(II)

Subtracting equation (II) from (I), we get

   10x + 6m = 3354

-   10x + 5m = 2875

Solving we get

       m = 479

Put m = 479 in equation(I), we get

           10x + 6m = 3354

           10x + 6(479) = 3354

           10x = 480

              x = 480/10

              x = 48

Hence,

The cost of topsoil per ton would be = x = $48.

The cost of pea gravel per ton = x - 28 = 48 - 28 = $20.

The cost of mulch per ton = m = $479.

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Step-by-step explanation:

Jackson had 5/6 yard of ribbon. He used 2/6 yard to decorate a present. How many yards does he have left?

5/6 - 2/6 = 3/6

3/6 reduces to 1/2 yards left

Answer:

Karen is waiting for a pot of soup to cool off before serving it. After 4 min the soup has cooled from 100°C to 78°C. What was the average change in temperature each minute?

✓ Answer:It went down 5.5°C a minute.Step-by-step explanation:You have to look for the difference of 100 and 78, which is …

The time taken for the rocket to reach its maximum height is; 2.25 seconds.

The maximum height reached by the toy rocket is; 88 feet.

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 72t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 72 = 0

-32t = -72

t = -72/-32

t = 2.25 seconds.

Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.

Also, the maximum height reached by the rocket is at; h (2.25);

h(2.25) = -16(2.25)² + 72 (2.25) + 7

= -81 + 162 + 7

= 88.

The maximum height reached is; 88 feet.

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Answer: 7

Step-by-step explanation:

Answer:

7 is the GCF of 21 and 28

Step-by-step explanation:

The GCF of 21 and 28 is 7. To calculate the greatest common factor (GCF) of 21 and 28, we need to factor each number (factors of 21 = 1, 3, 7, 21; factors of 28 = 1, 2, 4, 7, 14, 28) and choose the greatest factor that exactly divides both 21 and 28, i.e., 7.

The given triangle is rotated about 180 degrees and as such, we can say that the triangle CBF is congruent to the triangle EDF.

From the attached image, we see that CB is parallel to ED. We also see that the transversal lines are  BD and CE.

The point E will become the image of point C by a rotation of 180° around the point F.

Now, the point D will be the image of point B by a rotation of 180° around the point F.

Rotation is a type of transformation and as such  ΔEDF will be the image of  ΔCBF.

Therefore we can conclude that ΔCBF ≅ ΔEDF

The second way to prove this congruency is as follows;

∠B = ∠D  (Due to the fact that alternate angles are congruent)

∠C = ∠E  (Due to the fact that alternate angles are congruent)

Now, since CB ≅ ED , then it means that ΔCBF ≅ ΔEDF by SAS congruency postulate

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