Without drawing the graph of the function y=1.2x−7, see if the graph passes through points: ( 300; 353)

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

estimation my guess

55

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Answer:

area of square : 144

area of triangles : 114

total area : 258 square cm

Step-by-step explanation:

Answer:

i am stuck on that one too

Step-by-step explanation:

hello

the answer to the question is A) 125

(if you need explanation, let me know in the comments)

explanation:

when you'd want to make a three letter password such as:

___ × ___ × ___

you can put 5 different letters in each blank space:

_5_ × _5_ × _5_

hence the answer is:

5 × 5 × 5 = 125

Answer:

Step-by-step explanation:

since the scale is 15 feet for every 2 inches and the scale model length is 3:  

3/2 = 1.5

multiply 1.5 to 15 feet: 22.5

answer is 22.5

Answer:

22.5

Step-by-step explanation:

2 in.=15 this is the scale as a ratio

1 in.=7.5  by dividing by 2 you can find what one inch would represent int he scale model

3 in.=22.5  by multiplying by 3 you find how many 3 inches in the scale model represents.

Answer:

Step-by-step explanation:

there are 18 units

1 x 3.00     3 x 3.50   4 x 4.00   3 x 4.50                                                            2 x 5.00   3 x 5.50   1 x 6.00   1x 6.50

Line plot x (unit total cereal )  0-1    1-4    4-9   9-12    12-14     14-17     17-18   18-19

so needs to be numbered to 20

Line Plot y  (Unit Price $ )  0 -3    0 - 3.5    0-4     0-4.5   0-5   0-5.5    0-6    0-6.5            

so needs to be numbered to 7

Answer:

To find the first four terms of the series, we can substitute the values of n from 1 to 4 in the given formula and simplify:

n=1: -4(2/3)^0 = -4(1) = -4

n=2: -4(2/3)^1 = -4(2/3) = -8/3

n=3: -4(2/3)^2 = -4(4/9) = -16/9

n=4: -4(2/3)^3 = -4(8/27) = -32/27

So the first four terms of the series are -4, -8/3, -16/9, -32/27.

To determine if the series converges or diverges, we need to find the common ratio r, which is the ratio of any term to its preceding term:

r = (-4(2/3)^n) / (-4(2/3)^(n-1)) = 2/3

Since the absolute value of the common ratio is less than 1, the series converges.

To find the sum of the series, we can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

where a is the first term and r is the common ratio. Substituting the values we found:

S = -4 / (1 - 2/3) = -4 / (1/3) = -12

So the sum of the infinite geometric series is -12.

Answer:

a)  The first four terms of the series are:

    -4, -8/3, -16/9, -32/27

b)  The series converges.

c)  The sum of the infinite geometric series is -12.

Step-by-step explanation:

Given infinite geometric series:

\(\displaystyle \sum^{\infty}_{n=1} -4 \left(\dfrac{2}{3}\right)^{n-1}\)

Therefore, the formula for the nth term of the sequence is:

\(a_n=-4 \left(\dfrac{2}{3}\right)^{n-1}\)

where:

Calculate the first four terms of the series by substituting the n-values 1 through 4 into the nth term formula.

\(a_1 = -4 \left(\dfrac{2}{3}\right)^{1-1} = -4 \left(\dfrac{2}{3}\right)^{0}=-4\)

\(a_2 = -4 \left(\dfrac{2}{3}\right)^{2-1}= -4 \left(\dfrac{2}{3}\right)^{1}=-\dfrac{8}{3}\)

\(a_3 = -4 \left(\dfrac{2}{3}\right)^{3-1}= -4 \left(\dfrac{2}{3}\right)^{2}=-4 \left(\dfrac{4}{9}\right)=-\dfrac{16}{9}\)

\(a_4 = -4 \left(\dfrac{2}{3}\right)^{4-1}= -4 \left(\dfrac{2}{3}\right)^{3}= -4 \left(\dfrac{8}{27}\right)=-\dfrac{32}{27}\)

A geometric series converges if the absolute value of its common ratio is less than 1. As r = 2/3 and |2/3| < 1, the series converges.

Use the infinite geometric series sum formula to find sum of the infinite series.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$,\;\;for\;$|r| < 1$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)

Substitute a = -4 and r = 2/3 into the formula to find the sum of the infinite series:

\(\begin{aligned}\implies S_{\infty}&=\dfrac{-4}{1-\frac{2}{3}}\\\\ &=\dfrac{-4}{\frac{1}{3}}\\\\&=-4 \cdot \dfrac{3}{1}\\\\&=-\dfrac{12}{1}\\\\&=-12\end{aligned}\)

Therefore, the sum of the given infinite geometric series is -12.

Answer: 5 coins

Step-by-step explanation:

Frank found 9 coins on the floor of his car, and 3 of them were quarters. This means that 3 out of the 9 coins, or \(\frac{3}{9}\), were quarters.

Simplifying this fraction, we get \(\frac{1}{3}\) of the coins found in the car were quarters.

If Frank finds 15 more coins on the ground at the same ratio, then \(\bold{\frac{1}{3}}\) of these coins will also be quarters. To find out how many quarters he will most likely find, we need to find \(\bold{\frac{1}{3}}\) of 15:

\(\large \frac{1}{3} \times 15 = 5\)

Therefore, Frank will most likely find 5 more quarters on the ground, assuming he finds coins at the same ratio as he did in his car.

_______________________________________________________

Answer:

b

Step-by-step explanation:

Answer:

Second option

Step-by-step explanation:

It is given that, if the area of the rectangle to be drawn is 10 square units

To find the length of the rectangle

From the figure, we get the length of AB = 2 units

Therefore Area = length * breadth = 10

Therefore length = 10/2 = 5 units

To find the points of C and D

we have B(-1, 3)

Point C is 5 units below the point B

Therefore C(-1, 3-5) = C(-1,-2)

we have A(1, 3)

The point D is 5 units below the point B

Therefore D(1, 3-5) = A(1,-2)

Therefore the correct answer is option 2.

Answer:

B. C(-1, -2), D(1, -2)

Step-by-step explanation:

So we know the area of the shape is 10 square units, A and B are 2 units apart, what we need to do is multiply that by 5, so we would have to go 5 units down, which would get you down to (-1, -2), and (1, -2). So that's your Answer.

Step-by-step explanation:

Let's assume the amount Mackey initially invested in the 6% account is x dollars.

According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.

The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.

The total interest earned in the year is given as $737.50, so we can set up the equation:

0.06x + 0.085(x + $1000) = $737.50

Simplifying the equation:

0.06x + 0.085x + 0.085($1000) = $737.50

Combining like terms:

0.145x + $85 = $737.50

Subtracting $85 from both sides:

0.145x = $737.50 - $85

0.145x = $652.50

Dividing both sides by 0.145:

x = $652.50 / 0.145

x ≈ $4500

Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.

$4500

$4500

$4500

$4500

Answer:

It would be B) -2.5 degrees F

Step-by-step explanation:

If it was 2.5 BELOW zero that would put it -2.5

Answer:

They are both sane and different shapes

Step-by-step explanation:

If you have any questions please ask me! :)

Step-by-step explanation:

(2/3)(-4)(9) = -24

(5/16)(-2)(-4)(-4/5)= -2

(-3/4)(7/8)=-21/32

(2 3/5) (7/9)=91/45

Answer:

\(\frac{1}{3}\) x + 2

Step-by-step explanation:

\(\frac{1}{3}\)(x + 6)  Distribute the \(\frac{1}{3}\)

\(\frac{1}{3}\)x + \(\frac{1}{3}\)(6)

\(\frac{1}{3}\)x + \(\frac{1}{3}\)\((\frac{6}{1})\)  another way to write 6 is \(\frac{6}{1}\)

\(\frac{1}{3}\)x + \(\frac{6}{3}\)

\(\frac{1}{3}\)x + 2        (6÷3 = 2)

Answer:

Step-by-step explanation:

\((x+6)*1/3\\\)

Answer:

D) 1/3

Step-by-step explanation:

rise over run

The line went up once while moving 3 to the right.

Answer: (D) - 1/3

Step-by-step explanation: The slope of a line is RISE OVER RUN. The graph shows up (rise) 1, over (run) 3.

Answer:

V≈256

Step-by-step explanation:

Given the radius = 4 cm, you can use the formula and come up with the following,

\(V=4/3*3*4^3=4/3*64*3 =256*3 /3=256\)≈

Answer:

V=256 cm^3

Step-by-step explanation:

Answer:

70 degrees

Step-by-step explanation:

2x+3x-20+x+20=180

( angles in a triangle add up to 180 degrees)

as you want to find one x you need to move everything else to the other side: first collect all the like terms: 6x=180

in order to find x you need to divide 180 by 6 which is equal to 30

therefore x=30

if you substitute this into XYZ it would be: 3(30)-20

90-20=70

therefore XYZ=70 degrees

Hope this helped

Answer:

70

Step-by-step explanation:

So we know that the angles of a triangle equal up to 180 degrees. So let's make an equation. So we can do:

2x+(3x-20)+(x+20) = 180

Simplify:

6x=180

x=30

We can also plug this in to check our work. So it would be:

60+(90-20)+(30+20)

simplify

70+50+60=180

Then we have to find angle XYZ so we do 90-20=70

A. 4,400

Hopefully, I correctly answered your question! If I did, I would really appreciate Brainliest. You can give Brainliest by clicking the crown (it only works if there’s two people who answered.) I would also appreciate if you rated my answer 5 stars, and clicked the heart!

One mile is equal to 1,760 yards. Therefore, two and one-half miles can be calculated as:

2.5 miles * 1,760 yards/mile = 4,400 yards

So, the answer is A) 4,400 yards.

Answer:

21 \(\frac{1}{3}\)

Step-by-step explanation:

Don't really know how to explain this over a computer, other than use a calculator.

Hope that this helps!

Answer: y+6

Step-by-step explanation:

In order to do this, we do 6 more than y. More than is going to be addition, and we get y+6 since it is 6 more than y.