which function passes through the points (2,5) and (3,26)?

Answer:

Step-by-step explanation:

The measure of angle D is 45°

Similar triangles have the same corresponding angle measures and proportional side lengths. When two triangles are similar, the corresponding angles are equal.

And also the ratio of corresponding sides of similar triangles are equal.

To know the corresponding angles

side AC is corresponding to side EF, therefore angle D is congruent to angle A

angle D = 45°

OR , we can use the sum of angles In a triangle , which is 180°

angle D = 180 -( 72+63)

= 180 - 135

= 45°

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Answer: Height = 20 inches, Width = 36 inches

Step-by-step explanation:

Let the height be \(h\) and the width be \(h+16\).

Using the formula for the perimeter of a triangle,

\(2(h+h+16)=112\\\\2(2h+16)=112\\\\2h+16=56\\\\2h=40\\\\h=20 \implies h+16=36\)

Answer:

500 and 4.3

Step-by-step explanation:

A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.

5000 × 0.1 = 500

4300 × 0.001 = 4.3

Thus, the answers [in order] are 500 and 4.3

Hope this helps and feel free to ask any questions.

Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

The customer will pay $6.30 for the 60 local calls that all lasted 3 minutes.

To find out how much the customer will pay, we need to calculate the total cost for all the local calls.
Step 1: Calculate the total number of minutes for all the calls
Since the customer made 60 local calls and each call lasted 3 minutes, we can multiply 60 by 3 to get the total number of minutes.
60 calls * 3 minutes/call = 180 minutes
Step 2: Calculate the total cost for all the minutes
The customer pays $0.035 per minute for local calls. To find the total cost, we can multiply the total number of minutes by the cost per minute.
180 minutes * $0.035/minute = $6.30

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The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.

The term blackjack means that you get a value of 21 with only two cards.

Number of cards in a deck of cards = 52

There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.

Given that first card is Ace and second one is a Queen.

Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.

P(blackjack)=4×16/(52/2).

where P is used for probability .

Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.

Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.

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Answer:

Step-by-step explanation:

You want to find the future value of an ordinary annuity with 5 annual payments of $1100 earning 4%. You also want to find the monthly payment that makes an ordinary annuity have a future value in 4 years of $25,000 when it earns 12%.

The future value of an ordinary annuity having payments P made n times per year for t years earning interest rate r is ...

  FV = P((1+r/n)^(nt) -1)/(r/n)

You want the future value for P=1100, r=0.04, n=1, t=5. Using these values in the formula gives ...

  FV = $1100(1.04^5 -1)/0.04 = $5957.95

The future value is $5957.95.

You want the payment that makes the future value be 25000 with r=0.12, n=12, t=4.

  25000 = P((1 +0.12/12)^(12·4) -1)/(0.12/12) = P(1.612226/0.01) = 61.2226P

Dividing by the coefficient of P gives ...

  P = 25000/61.2226 = 408.35

The required monthly payments are $408.35.

__

Additional comment

The formula is simple enough to use, but the same calculation can be done by a spreadsheet or an appropriate calculator.

The timing of payments in the second problem is not specified. We have assumed they occur at the end of the month. If they occur at the beginning of the month, they will be the computed amount divided by 1.01 (the monthly multiplier). That would make them $404.30.

Answer:

m=1.75

Step-by-step explanation:

Answer:

224 m^3

Step-by-step explanation:

Volume = l x w x h

V = 8 x 4 x 7

V = 32 x 7

V = 224 m^3

Have a great day!  :D

Answer:

224m³

Step-by-step explanation:

volume =surface area ×height

thus surface area=l×w (since its a rectangle)

V=l×w×h

V=8×4×7

V=224m³

Answer:

40t^6

Step-by-step explanation:

 (-4t^5) (-10t)

-4t^5*-10t

40t^6

Step-by-step explanation:

Morning is 4 hr 15 min

afternoon is 4 hour 15 min

together is 8 hour 30 min

8.5*14 = 119 dollars

According to the unitary method, the wage of the weekly time for the employee is written as $119.00

To calculate the hours worked on Monday, we need to consider both the morning and afternoon shifts. For the morning shift, the employee clocked in at 08:00 AM and clocked out at 12:15 PM. The total time worked in the morning is 4 hours and 15 minutes (12:15 - 08:00).

Similarly, for the afternoon shift, the employee clocked in at 01:00 PM and clocked out at 05:15 PM. The total time worked in the afternoon is 4 hours and 15 minutes (05:15 - 01:00).

Adding both morning and afternoon hours, the total hours worked on Monday is

(4 hours 15 minutes + 4 hours 15 minutes) = 8 hours and 30 minutes

To perform the calculation, we need to convert the minutes to decimal hours. There are 60 minutes in an hour, so we divide the minutes by 60 to get the decimal representation. In this case, 30 minutes is equal to 0.5 hours.

Now that we have the total hours worked on Monday, we can calculate the pay. We multiply the total hours worked by the hourly wage. In this case, the hourly wage is $14/hr.

So, the pay for Monday would be:

Pay = Total hours worked x Hourly wage

Pay = 8.5 hours x $14/hr = $119.00

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Answer:

Option 3

Step-by-step explanation:

Each value of x maps onto one value of y and vice versa.

Using relations in a right triangle, the secant of angle θ is given by:

D. 5/4.

The relations in a right triangle are given as follows:

Using the Pythagorean Theorem, the hypotenuse of the triangle is given as follows:

h² = 9² + 12²

h = sqrt(9² + 12²)

h = 15.

The secant of an angle is 1 divided by the cosine, hence:

Which means that option D is correct.

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Answer:

441

Step-by-step explanation:

Get each side of the square
84/4 = 21
Multiply to get the area
21*21 = 441

Answer:

441 feet

Step-by-step explanation:

4 times s is how you find the perimeter of a square so we can put this in an equation

4s=84

/4. /4

s=21

Now to find area we multiply side by side or side squared

21x21

441

Hopes this helps please mark brainliest

Answer:

x=48

Step-by-step explanation:

Substitute y for 0 (0=1/4x - 12)

Multiply both sides of the equation by 4 (0= x-48)

subtract x from both sides  (-x = -48)

Change the signs (x=48)

The solution of y=(1/4)x-12 for x will be x = 4y + 48.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

Expression is an equation in which multiplication, division, and summation of all terms are present.

For example 2x + 8t = 0 is a expresion where x and t are variables 2,8 and 0 are constant.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given,

y = (1/4)x - 12

Taking the lowest common multiple right-hand sides

y = (x - 48)4

By cross multiplication

4y = x - 48

By taking 48 into the left-hand side

x = 4y + 48

Hence the solution of expression y=(1/4) x - 12  for x will be x = 4y + 48.

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Answer:

B. 103°

Step-by-step explanation:

Supplementary angles add up to 180°, so we can find the measure of angle 2 by subtracting 77 from 180

180 - 77

= 103

So, m∠2 is 103°

Answer:

1) x= -3

2) x=-4

Step-by-step explanation:

The first equation is :

-3x+8=17

solving for x

-3x=17-8 ------------by collecting like terms

-3x=9

Divide both sides by -3

-3x/-3=9/-3

x= -3

In the second equation

1+4x= -15

solving for x

4x=-15-1

4x = -16

x=-16/4

x= -4

Hey there!

Only one I know ^_^

1st Addition= 3 + 3 = 6

Answer:

Right

Step-by-step explanation:

Answer: FOR THE SECOND ONE, 1.03 x  ⋅  10^4    =  10300 x

mL= 10300x

L=10300x

I am so sorry if its wrong!

Step-by-step explanation: I dont know what the first one is and its not converting properly

Answer:

2 cents a tee

Step-by-step explanation:

Answer:

It is 2 cents per golf tee If you can please give brainliest

Step-by-step explanation:

Thank you <3

Answer:

A) 18a^6b^2

Step-by-step explanation:

area = width x length

length = area/width

144a^8b^4/8a²b^2 = 18a^6b^2

The required algebraic expression that represents the perimeter of the dining room table is 8w - 4.

Perimeter is the measure of the figure on its circumference.

Here,
The perimeter of a rectangle is given by the formula P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

Substituting the given expressions for the length and width of the dining room table, we get:

P = 2(3w - 2) + 2w

Simplifying the expression, we get:

P = 6w - 4 + 2w

Combining like terms, we get:

P = 8w - 4

Therefore, the algebraic expression that represents the perimeter of the dining room table is 8w - 4.

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8

In this pattern, we have 4 12 then 20.

We can see that the difference 4 and 12 is 8.

Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer:

138 miles

Step-by-step explanation:

To find out how many miles you can drive on for a mile you would do:

92/2= 4/2x

46 =2x

23 = x

To find out many miles can be driven with 6 gallons of gas.

6x=23*6

6x= 138