Which one?
A. B. C. or D? ​

Answer:

Explicit rule used is: f(n) = f(1) + (n - 1)d

Step-by-step explanation:

We are told he currently does 14 push ups per day.

Now, he wants to increase the push ups by 2 per day.

Now, the first term in the sequence of push ups is 14 while the constant difference is 2.

Now, the explicit rule to be used here is arithmetic progression whereby;

f(n) = f(1) + (n - 1)d

Where;

f(1) is first number in the sequence

d is constant difference

n is number of days

Thus, plugging in our values from the question, we have;

f(n) = 14 + (n - 1)2

f(n) = 14 + 2n - 2

f(n) = 2n + 12

This tallies with the linear function given in the question.

Thus; the explicit rule used here is;

f(n) = f(1) + (n - 1)d

the answer is yes, 21

Step-by-step explanation:

you would multiply 7 and 3 to get y

Answer: 1595 jumbo size

Step-by-step explanation:

From the question, let regular size toys be represented by a.

We are informed that the company made 11 times as many regular size toys as jumbo size toys. This means that:

Jumbo side toys = 11 × a = 11a

To calculate the number of jumbo size dog toys they make goes thus:

11a + a = 1740

12a = 1740

a = 1740/12

a = 145

Jumbo size toys = 11a

= 11 × 145

= 1595

Answer:

range is -8,10,28

Step-by-step explanation:

9(1)-17=-8

9(3)-17=10

9(5)-17=28

Hope this helps

Answer:

the anwer is D.8V2m to youre question

Answer:

In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ. Is this information sufficient to prove triangles DEF and OPQ congruent through SAS? Explain your answer.

Step-by-step explanation:

can  you help me?

Answer:

25.748

Step-by-step explanation:

If you multiply 4.1 by 3.14, your answer comes out to 12.874. Multiply that by 2 and you get your answer of 25.748. Hope this helps.

Answer:

D

Step-by-step explanation:

None of them show the Unit Rate

Answer:

B because unit rate is for a single unit.

Answer:

1

Step-by-step explanation:

Step-by-step explanation:

hope this helps you!! :))

The value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].

Angle is the space between two lines or surfaces that meet, and is  measured in degrees.

So,

According to the question;

[tex]\angle x =65^0[/tex]

([tex]\angle x[/tex]  is vertically opposite of the given angle  [tex]65^0[/tex])

[tex]\angle y = 71^0[/tex]

(Because when a transversal line intersects two parallel lines then each pair of alternate interior angles is equal.)

We know that,

Sum of all angles of triangle is equals to [tex]180^0[/tex].

i.e.

[tex]x+y+z=180^0[/tex]

we have,

[tex]65+71+z=180[/tex]

[tex]z=180-136[/tex]

[tex]z=44^0[/tex]

So, the value of [tex]z[/tex] is [tex]44^0[/tex].

Hence, we can say that the value of angle [tex]x[/tex] is [tex]65^0[/tex], of angle [tex]y[/tex] is [tex]71^0[/tex] and of angle [tex]z[/tex] is [tex]44^0[/tex].

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Answer:

Predicted population of Mexico City in year 2010 = 38386000

Step-by-step explanation:

Formula to be used for the population of Mexico,

P = 20.899[tex]e^{0.032t}[/tex]

Where t = Duration after year 1991

P = Final population

Number of years between 2010 and 1991 = 19 years

Predicted population of Mexico city after 2010 = 20.899[tex]e^{0.032\times 19}[/tex]

                                                                              = 20.899 × (1.8368)

                                                                              = 38.38633 million

                                                                              = 38.386 million

Therefore, predicted population of Mexico City in year 2010 = 38386000

Answer:

38386000

Step-by-step explanation:

got it right on edge

Answer:

1). 15.5 miles

2). 8.4 miles

3). 0.08 per ounce

Step-by-step explanation:

213 ÷ 6 = 15.5

25.2 ÷ 3 = 8.4

0.96 ÷ 12 = 0.08

Hope this helps!!

Answer:

6. is H

7. is B

Explanation:

the communitive property states that if: a+b=c, then b+a=c

if each ballon costs 2 dollars, that would b 2x or $2 (aka the 2) for 1 balloon (aka the x) and since he has a 10$ off coupon, you have to subtract 10$ so y=2x-10

Answer:

-2.56E5

3.4 x 10⁴ - 2.9 x 10⁵ in scientific notation = -2.56E5

Answer: -2.56 x 10⁵

:-D

Answer:

The answer is below

Step-by-step explanation:

The two vectors together with the resultant vector forms a right angled triangle. The resultant vector R can be gotten using the formula:

R² = 12² + 5²

R² = 144 + 25

R² = 169

R = √169 = 13

R = 13 miles

The resultant vector is 13 miles

The direction is gotten from:

θ = tan⁻¹(5/12)

θ = 22.62° North West

The resultant vector is therefore 13 miles North West

Answer:

13.9

Step-by-step explanation:

Answer:

tfollow me plzzz

Step-by-step explanation:

To write fractions with denominators of 10 and 100 as decimals, the position of the zero to the right of the number in the numerator is shifted a number of places left depending on the power of 10 in the denominator

Reason:

Examples of fractions that has 10 and 100 as denominators are;

[tex]\dfrac{9}{10}, \ \dfrac{15}{100}, \ \dfrac{5}{100}[/tex]

The steps to express the above fractions as decimals are;

Place a decimal point to the right to the number in the numerator as follows;

[tex]\dfrac{9.}{10}, \ \dfrac{15.}{100}, \ \dfrac{5.}{100}[/tex]

Move the decimal point to the left a number of places equal to the number of zeros in the denominator

Where the denominator is a 10, the decimal point is moved left one place and place a zero to the left of the decimal point

Where the denominator is a 100, the decimal point is moved left two places, as follows;

[tex]\dfrac{9.}{10} = 0.9, \ \dfrac{15.}{100} = 0.15, \ \dfrac{5.}{100}= 0.05[/tex]

Therefore, the decimal point is moved left depending on the number of zeros or the power of 10 in the denominator

100 = 10² in the denominator (move the decimal point two places left)

10 = 10¹ in the denominator (move the decimal point one place left)

Learn more here:

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Answer:

3 gallons

Step-by-step explanation:

if 1 gallon is consumed for 54 miles

what about 164 miles ..

so you take 1 * 162

..........

54

Answer:

180.8

Step-by-step explanation:

multiply 6.40 with the hour 28.25

Hope this helps!

Answer: 3/4

Step-by-step explanation:

Slope=rise/run

In this case we rise up 3

And we run 4 to the right

Which makes the slope 3/4

Hi ! The answer would be 3/4.

To get this answer, the red line represents the RISE, and the blue line represents the RUN.

Your slope will always have RISE/RUN.

Now, you count how many squares there are in your rise, in this case, 3.

Then, you do the same for your run, which would be 4.

Rise/Run becomes 3/4.

What would determine it to be a negative? Well, if you see charts like these: You'll see that the red is going up, it is a positive slope, while the blue, which is going down, is a negative slope.

For example, if sales at your store increased, your slope would go up (positive), while if the opposite it'd go down (negative).

In this case, it is a positive slope.

30/15 = 2

Since 2 is a natural number, a whole number and an integer, so is 30/15.

Answer:

19 miles

Step-by-step explanation:

Length of new road - Length of old road = Change in length = 23 - 4 = 19

Answer:

[tex]1[/tex] [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Hope this helps

Answer:

[tex]1 \frac{1}{4} [/tex]

Step-by-step explanation:

[tex] \frac{( - \frac{1}{2} + \frac{3}{4}) }{ \frac{1}{5} }\\ \frac{1}{4} \div \frac{1}{5} \\ 1 \frac{1}{4} [/tex]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You're being asked to move points on a grid so they form a square that is 12 units on a side. We don't know what your points or your grid look like, so we can only guess what your final figure might be. Attached is a square 12 units on a side, similar to one you're asked to draw.

Answer:

I'm so sorry I can't help

1)x+30=40

x=40-30

Answer :x=10

2)30-20+2x=10

10+2x=10

2x=0

Answer: x=0

3)3x-10+13=-2x+28

3x+3=-2x+28

3x+2x+3=28

3x+2x=28-3

5x=28-3

5x=25

x=5

4)13x-23-45=-7x+12

13x-68=-7x+12

13x+7x-68=12

13x+7x=12+68

20x=12+68

20x=80

x=4

5)2(x+4)=10x+24

2x+8=10x+24

2x-10x+8=24

2x-10x=24-8

-8x=24-8

-8x=16

x=-2

6)3(x-5)=1-(2x-4)

3x-15=1-(2x-4)

3x-15=1-2x+4

3x-15=5-2x

3x+2x-15=5

3x+2x=5+15

5x=5+15

5x=20

x=4

7)5x-10=15

5x=15+10

5x=25

x=5

8)x+4=x+6

4=6

no solution

PLEASE MARK ME AS BRAINLIEST

Answer:

There were 135 adults that were served.

Step-by-step explanation:

Let's use c for child's cost and a for adult's cost.

The total amount is 1347.50. With this, we can create an equation to solve for adults.

a + c = 250

3.50c + 7a = 1347.50

Using system of equations, we can plug in values to get our answer.

c = 250 - a

3.50(250 - a) + 7a =

875 - 3.5a + 7a =

3.5a = 472.5

135 = a

115 = c (when you plug a into the equations)

There were 135 adults that were served.

Answer:

135

Step-by-step explanation:

x = number of child's plate

y= number of adult's plate

x+y=250 => 1

3.50x+7y=1347.50 => 2

Multiplying equation 1 by 3.50,

3.50x+3.50y=875 =>

Subtracting equation 3 from equation 2,

3.50x +7y - 3.50x - 3.50y = 1347.50 - 875

3.50y = 472.50

y= 135

Answer:

y = –3x – 6

Step-by-step explanation:

We'll begin by obtaining the slope of the equation y = –3x – 2.

This can be obtained by comparing

y = –3x – 2 with y = mx + c

Thus, the slope (m) of the equation

y = –3x – 2 is –3.

Next, we shall determine the slope of the equation parallel to line with equation y = –3x – 2.

This is illustrated below:

For parallel lines, the slope are related as follow:

m1 = m2

m1 = –3

m2 = m1 = –3.

Finally, we shall determine the equation as follow:

Coordinate = (–3, –3)

x1 coordinate = –3

y1 coordinate = –3

Slope (m) = –3

y –y1 = m(x – x1)

y – (–3) = –3 (x – (–3))

y + 3 = –3 (x + 3)

y + 3 = –3x – 3

Rearrange

y = –3x – 3 – 3

y = –3x – 6

Thus, the equation parallel to the line is y = –3x – 6