What is the equation for an arithmetic sequence with a first term of 7 and a second term of 3? (5 points)


an = 7 − 4(n − 1)

an = 7 + 4(n − 1)

an = 7 − 3(n − 1)

an = 7 + 3(n − 1)

The width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

Volume of the box = l×w×h

150 = l×w×h

h = 2 in

l = 10+w

150 = (10+w)(w)(2)

150 = 2w(10+w)

After solving, we get:

w = 5 or w = -15

Width cannot be negative.

w = 5 in

Thus, the width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.

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Population size: 8

Median: 19

Minimum: 11

Maximum: 28

First quartile: 13.25

Third quartile: 23.75

Interquartile Range: 10.5

Outliers: none

- Attached image is the box and whisker plot

Answer:

341.25

Step-by-step explanation:

You first split the figure into 2 pieces the triangular prism and the rectangular prism now that we know the dimensions of each figure we can create an expression, we will start with the triangular prism. the expression will be 3/2 x 5/2 x 10.5. Then we solve the rectangular prism. 5 x 5 x 10.5.

Now that we have acquired all the math that we need we can continue to simplify. 3 x 2 x 5/2 was derived from (3 x 5)/2 and we physically drew it out with properties of algebra (a later topic to study) anyways we get 15/2=7.5 and we multiply that by 10.5 giving us 78.75. the triangular prism is easier we just do 25 x 10.5 giving us 262.5. Now that we have succumbed both figures we can combine the to get the volume which is 341.25 (78.75 + 262.5).

Answer:

similar

Step-by-step explanation:

Answer:

Similar

Step-by-step explanation:

For similarity or congruence we use ~ symbol not equal to

The shape in the figure is a composite shape with two triangles, and the inequality is 4 < x < 12

In the given figure, the side lengths AB and AD are equivalent.

This means that, we have the following angle relationship:

CAD < CAB

Substitute known values

6x - 24 < 48

Add 24 to both sides

6x < 72

Divide both sides by 6

x < 12

Also, we have the following angle relationship:

CAD > 0

Substitute known values

6x - 24 > 0

Add 24 to both sides

6x < 24

Divide both sides by 6

x < 4

This means that:

x < 4 and x < 12

Combine both inequalities

4 < x < 12

Hence, the inequality is 4 < x < 12

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Answer:

All integers are rational numbers .

Step-by-step explanation:

please mark as branliest

Let's see

Let y=f(x)

Intechange x and y

Find y

The inverse is y=x/4

Graphs attached

Answer:

[tex]\sf f^{-1}(x)=\dfrac{x}{4}[/tex]

Step-by-step explanation:

The inverse of a function is the reflection of the function in the line y = x

To find the inverse of a function:

Set the function to y:

⇒ y = 4x

Make x the subject:

[tex]\sf \implies x=\dfrac{y}{4}[/tex]

Change x to [tex]\sf f^{-1}(x)[/tex] and y to x:

[tex]\sf \implies f^{-1}(x)=\dfrac{x}{4}[/tex]

Answer:

9.2

Step-by-step explanation:

Find the coordinates and plug em into the equation. (-5,5) (1,-2)

Square root 85 is 9.2.

Answer:

9.2 (if rounded to the nearest tenth)

Answer:

  use a scale that starts at 0

Step-by-step explanation:

The graph is misleading because the vertical scale does not start at zero.

__

To better represent the brand relationship, the vertical axis should start at zero. The amounts differ by less than 1/2%, so the bars on that scale would appear to have virtually identical heights.

There are total 15 dogs, 27 cats, and 3 ferrets were adopted if the ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

An animal shelter had 45 animals adopted over one week. The ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.

Combine ratio dogs:ferrets:cats = 5:1:9

Let's suppose the number of ferrets is x then:

5x + x + 9x = 45

15x = 45

x = 3

Ferrets x = 3

Dogs = 5x = 5(3) = 15

Cats = 9x = 9(3) = 27

Thus, there are total 15 dogs, 27 cats, and 3 ferrets were adopted if the ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.

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Answer:

8 ounces

Step-by-step explanation:

50×2=100

100-92=8

there ya go

You're looking for the equation of the line through the two yellow points, whose coordinates are (4, 0) and (8, 9).

Compute the slope:

(9 - 0) / (8 - 4) = 9/4

Using the point-slope formula, the equation of the line is

y - 0 = 9/4 (x - 4)

or

y = 9x/4 - 9

Answer:

64 Ounces

Step-by-step explanation:

64 Ounces of hot dogs

Answer:

64 oz

Step-by-step explanation:

1 lb = 16 oz

4 × 1 lb = 4 × 16 oz = 64 oz

Answer:

[tex]6 {x}^{2} - 5x - 4[/tex]

Step-by-step explanation:

[tex](2 {x}^{2} - 3x + 1) + (4 {x}^{2} - 2x - 5) = \\ 2 {x}^{2} + 4 {x}^{2} - 3x - 2x + 1 - 5 = \\ 6 {x}^{2} - 5x - 4 [/tex]

Answer:

B

Step-by-step explanation:

topic: polynomials

Just add like terms

A regular hexagon consists of 3 main characteristics:

Answer: Here u go

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: Options F, E, C.

Given : function f(x)=2(x-4)^5.

To find : What are the characteristics of the function .

Solution : We have given that f(x)=2(x - 4)^5.

By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.

Since , Option F is correct.

It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.

Option E is also correct.

By transformation rule it is vertical stretch and shift to right (B )

Therefore, Option F , E , C are characteristics of the function .

Answer:

x^-2 = 1/36

x^-1 = 1/6

x^0 = 1

x^1 = -6

x^2 = 36

#1

#2

#3

#4

#5

Answer:

B. po

Step-by-step explanation:

reflection a triangle over the yaxis.

Answer:

the andswer there is D

Step-by-step explanation:

just think of it as a cylinder and a square

put both circular parts together and you have a cylinder with the diameter of 12 and a height of 7 and find the volume of that which is πr²h so π 6² 7

then the volume of your rectangular prism is the length times width times height so 12 by 12 by 7

Answer: The range of the data set is: " 16 " .

______

Explanation:
The range is calculated by subtracting the lowest value in the given data set from the highest value in the data set.
______

Given: The data set:   9, 21, 7, 11, 13, 21, 5, 14 ;

Let us organize these numbers from lowest value to highest value:
  " 5, 7, 9, 11, 13, 14, 21, 21 " ;
Note:  This is done by inspection.  Note that all eight (8) values are accounted for.
    So, we subtract the lowest value in our given data set:  "5" ;

from the highest value in our given data set:  "21" ;  to get the "range":

            →  " 21 − 5 = 16 " ;

______
The range is:  " 16 " .
______
Hope this is helpful!  Best wishes!

Answer:

3 words per minute

Step-by-step explanation: First you divide 9 by 9 to get one then you divide 27 by nine to get 3 simple

Answer:

y=3

Step-by-step explanation:

27=y x 9

27/9= y x 9/9

3=y

3words x9minutes =27words in 9 minutes 3 words a minute.

I used y because x would look tacky next to another x

Answer:

1 ft

Step-by-step explanation:

scale: 5 in. = 8 ft

Back wall scale measurement: 15 in.

Back wall real measurement: 15 in. × 8 ft / 5 in. = 24 ft

Each workstation measures 4 ft.

5 workstations measure 5 × 4 ft = 20 ft

24 ft - 20 ft = 4 ft

When you place 5 workstations, the outer two will be at the ends of the 24-ft wall. There will be 4 spaces between the workstations.

4 ft / 4 = 1 ft

Answer: 1 ft

Answer:

3/2

Step-by-step explanation:

it's the slope because it's before x.

Answer:

The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex].  We can then input the value and we get that [tex]C=2*\pi*4[/tex] and as we solve it more the final answer that we get is [tex]C=25.133[/tex].

Hope this helps!  Let me know if you have any questions

Answer:

A

Step-by-step explanation:

If you read the sentences aloud, A is the only answer that makes grammatical sense, since colons are short pauses in sentences, much like commas. Colons are also commonly used for the beginning of a list, as shown here.

Hope this helped!

Answer:

25(1+2)

Step-by-step explanation:

25 goes into 25 once and 50 twice.

Answer:

x = 26

Step-by-step explanation:

Answer:

26 degrees

Step-by-step explanation:

The small square symbol on the upper left of the line represents a 90-degree angle.

90 - 64 = 26 degrees

Answer:

its D

Step-by-step explanation:

equivalent of 50En-1+n(4n+3))is4{50(50+1)(2×60+1)+3{50(51)_2}