Kara is building a sandbox shaped like a kite for her nephew. The top two sides of the sandbox are 29 inches long. The bottom two sides are 25 inches long. The diagonal DB has a length of 49 inches. What is the length of the diagonal AC

Answers

Answer 1

The length of diagonal AC is 54.8 inches when two sides are 29inches and 25 inches long.

How is this determined?

To find the length of diagonal AC in the kite-shaped sandbox, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the length of the hypotenuse (the longest side) is equal to the square root of the sum of the squares of the other two sides.

How to use the Pythagorean Theorem?

Identify the right triangle. In this case, we can see that the right triangle is formed by diagonal DB and the two sides of length 25 inches, which we'll call side a.

Substitute the known values into the formula, where AC is the hypotenuse and a and DB are the other two sides of the triangle: AC^2 = a^2 + DB^2

Solve for AC by taking the square root of both sides: AC = √(a^2 + DB^2)

Substitute the given values for a and DB: AC = √(25^2 + 49^2) = √(625 + 2401) = √3016 = 54.8

It's important to note that the kite shape can be considered as two congruent right triangles. The sides 25 and 29 are the legs, and the diagonal DB (49 inches) is the hypotenuse of one of the triangles. Since the triangles are congruent, their hypotenuse will have the same length. Therefore, the diagonal AC, which is the hypotenuse of the other triangle, also has a length of 49 inches.

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Kara Is Building A Sandbox Shaped Like A Kite For Her Nephew. The Top Two Sides Of The Sandbox Are 29

Related Questions

i need help willing to give 10 pts if anybody to help me with these quiz 4-1 classifying and solving for sides/ angles in triangles

Answers

The Values of missing angles are shown below.

What is angle Sum Property?

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

6. Using Angle sum property

<1 + 72 + 57 = 180

<1 = 51

Now, <2 +72 = 90

<2 = 18

<and, <3+ 57 = 180 (linear pair)

<3 = 123

Now, <4 = 180- 123- 18

<4 = 39

7. <1 = 180- 129 = 51 (linear pair)

<2 = 180- 51 - 95 = 34 (Angle sum property)

<3 = 95 (Vertical opposite angle)

<4= 180- 47 - 95 = 38

<5 = 47  (Vertical opposite angle)

<7= 180-121= 59

<6= 180-59-47= 74

8. Using Angle sum property

13x+ 2 + 5x - 7 + 3x -4 = 180

21x -9 = 180

21x = 189

x= 9

So, angles are 13x+2 = 119, 5x-7 = 38 and 3x-4 = 23

9. Using Exterior Angle property

19x- 18 = 7x+1 + 10x- 9

19x - 18 = 17x  - 8

2x = 10

x= 5

So, angles are 19x-18 = 77, 7x+1 = 36 and 10x-9 = 41

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Which statements are true about the regular polygon select three options

Answers

Answer:

Each interior angle measures 108 degrees. All of the angles are congruent. The sum of the measures of the interior angles is 180(5 – 2)°.

what is the 4+6+9+0+6000438975.226

Answers

Answer:

It equals 0

Step-by-step explanation:

Hope it helps!

I need help asap please and thank you

Answers

The second one is y=3x

Answer:

1) (-1;4), (4;3)

2) (-1;4), (0;0)

Step-by-step explanation:

Did I Help You?

26. Workplace injuries (5.2, 5.4) Pick a nonfatal work- place injury in private industry at random. The table gives the probability model for the day of the week that the injury took place.

Day: Sunday Monday Tuesday Wednesday
Probability: 0.06 0.18 0.17 0.17

Day: Thursday Friday Saturday
Probability: x 0.15 0.09


(a) Find the probability that the randomly chosen injury took place on a Thursday.

This is Probability and Statistics!
(b) Find the probability that the injury took place on a weekday (Monday through Friday).

(c) Given that an injury took place on a weekday, what is the probability that it took place on a Monday?​

Answers

a) The probability that the randomly chosen injury took place on a Thursday would be 0.17.

b) The probability that the injury took place on a weekday (Monday through Friday) would be 0.84.

c) The probability that it took place on a Monday would be 21.4%.

What is the probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain.

(a) To find the probability that the injury took place on a Thursday, we need to find the value of x in the probability table:

Day: Sunday Monday Tuesday Wednesday

Probability: 0.06 0.18 0.17 0.17

Day: Thursday Friday Saturday

Probability: x 0.15 0.09

The sum of the probabilities for each day must equal 1. So we can set up an equation to find x:

0.06 + 0.18 + 0.17 + 0.17 + x + 0.15 + 0.09 = 1

0.83 + x = 1

x = 0.17

The probability that the injury took place on a Thursday is 0.17.

(b) To find the probability that the injury took place on a weekday (Monday through Friday), we sum the probabilities for Monday, Tuesday, Wednesday, Thursday, and Friday:

0.18 + 0.17 + 0.17 + 0.17 + 0.15 = 0.84

The probability that the injury took place on a weekday is 0.84.

(c) Given that an injury took place on a weekday, we can use Bayes' Theorem to find the probability that it took place on a Monday. Let A be the event that the injury took place on a weekday, and B be the event that the injury took place on a Monday. Then:

P(B|A) = P(B and A) / P(A)

P(B and A) = P(B) = 0.18

P(A) = 0.84 (from (b))

So:

P(B|A) = 0.18 / 0.84 = 0.214 or 21.4%

The probability that the injury took place on a Monday, given that it took place on a weekday, is 21.4%.

Hence,

a) The probability that the randomly chosen injury took place on a Thursday would be 0.17.

b) The probability that the injury took place on a weekday (Monday through Friday) would be 0.84.

c) The probability that it took place on a Monday would be 21.4%.

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If two sides of a triangle are 5 and 7 which would be the third side

Answers

Answer:

2 < x < 12

Step-by-step explanation:

given 2 sides of a triangle then the third side x is in the interval

difference of 2 sides < x < sum of 2 sides , that is

7 - 5 < x < 7 + 5

2 < x < 12

third side could be 3, 4, 5, 6, 7, 8, 9, 10, 11

adding probabilities common core algebra i

Answers

The Poisson law states that the probability of at least 2 different changes daily is 0.0263. Thus, 0.0263% of changes happen twice or more each day.

Define probability.

The mathematical method it explains for calculating probability calculates all the probabilities of something occurring in the setting of specific random events. A probability's proximity to the unit value and, conversely, its distance from zero can make one less comfortable in the outcome. The confidence level is based on how close the probability value is, which is calculated using a range from 0 and 1

Here,

The conditional probability function for X is the amount of times the incident occurs over a specific period of time.

In this experiment, the frequency, or x, at which an event occurs is counted.

The likelihood of the event happening throughout each period is equal.

The number of events in one period is independent of the number in other intervals.

The first step is to set the discrete stochastic process X to the number of website content updates.

Let's say that there are on average x content changes every day.

The Poisson distribution law states that the probability of at least 2 changes each day is 0.0263.

0.0263% of changes occuring twice or more as a result per day.

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After picking apples at Fruitville Orchards, Sidney stops at the orchard's market to get some fresh apple cider. She wants to drink a pint of cider at the orchard. She also wants to bring a pint of cider to each of her 5 friends later in the day. How many 1-quart jugs of apple cider should she buy?

Answers

Sidney should buy 3 1-quart jugs of cider.

What is mean by pint?

The pint is a liquid amount that is equal to one eighth of a gallon and it is also equal to one half of a quart.

How many 1-quart jugs of apple cider should Sidney buy?

Sidney wants to drink a pint of cider. She also wants to bring a pint of cider to each of her 5 friends.

So, she needs total 6 pints of cider.

As per standard metric unit, 1 liquid pint = 0.5 liquid quart

                                    6 liquid pints = (6 × 0.5) liquid quart = 3 quarts

So, Sidney should by 3 quarts of apple Cider that means 3 amounts of 1 -quart jugs of cider.

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Write the rule to describe the transformation

Answers

Answer:

Dilation of 2

Step-by-step explanation:

Note that [tex]SR=2[/tex] and [tex]S'R'=4[/tex].

The scale factor is defined as the ratio of the length of the side of the image to the length of the corresponding side of the preimage.

So, the scale factor is [tex]\frac{4}{2}=2[/tex].

A metalworker has a metal alloy that is 30​% copper and another alloy that is 60​% copper. How many kilograms of each alloy should the metalworker combine to create 50 kg of a 48​% copper​ alloy?

Answers

If a metalworker has a metal alloy that is 30​% copper and another alloy that is 60​% copper. The amount of  kilograms of each alloy is:  20kg of 30% copper alloy must be combined with 30kg of 60% copper alloy to obtain 50 kg of 48% copper alloy.

How to find the amount of kilograms?

Let a be the amount of 30% copper alloy and b be the amount of 60% copper alloys. The combined alloys must be 50 kilograms.

a + b = 50 kg

The total copper in the mixture:

0.30a + 0.60b = 0.48(50)

Substitute by making use of the first equation

0.30(50-b) + 0.60b = 24

15 -0.30b + 0.60b =24

0.30b= 9

Divide both side by 0.30b

b = 9/0.30

b = 30

The amount of 30% copper alloy needed is:

a= 50-b

a = 50 -30

a = 20

Therefore 20 kg of 30% copper alloy must be combined with 30 kg of 60% copper alloy to obtain 50 kg of 48% copper alloy.

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please help for points

Answers

Answer:

the answer is A

Step-by-step explanation:

did it not the long ago

Please help me on this!!!!!!

Answers

Answer:

y = -[tex]\frac{1}{2}[/tex]x+6

Step-by-step explanation:

First off, you need to know what slope-intercept form is: y = mx+b

y = mx+b

b = the y-intercept, or where the line meets with (0,y), which is value of the coordinate is the y-intercept.

Looking at your yellow dot on the y axis, (0,6), could be the perfect fit to find the y-intercept.

So, know we know: y = mx+6

m = the slope of the line - you have to find two coordinates

in this case, it could be the two yellow points

(0,6)

(6,3)

use the following two coordinates to find the slope:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case, it would be 3-6/6-0, which equals to -1/2.

So, finally, we get:

y = -[tex]\frac{1}{2}[/tex]x+6

What are the factors of 904?

Answers

904 is a composite number.

Prime factorization: 904 = 2 × 2 × 2 × 113, which can be written 904 = 2³ × 113.

What is a factor in math?

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product

The exponents in the prime factorization are 3 and 1. ...

Factors of 904: 1, 2, 4, 8, 113, 226, 452, 904.

Factor pairs: 904 = 1 × 904, 2 × 452, 4 × 226, or 8 × 113.

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Given the equation f(x) = x³ - 2x, find the average rate of change of the function over the interval -1 ≤ x ≤ 5.

Answers

The equation of f(x)=x3-2x is the interval

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).

(−3,−6) and (4,−8)

Pls help I need this

Answers

The distance between these two points is √53 units.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

The two points of a triangle are (−3,−6) and (4,−8)

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

=√(4+3)²+(-8+6)²

=√7²+2²

=√49+4=√53

So the distance between these two points is √53 units

Hence, the distance between these two points is √53 units.

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Assignment
The values in the table represent a function.
f(x)
x
-6
7
4
3
-5
8
3
-5
.
-2
12
Use the drop-down menus to complete the
statements.
The ordered pair given in the first row of the table can
be written using function notation as
î
f(3) is
f(x) = -5 when x is

Answers

So on solving the provided question we cans ay that function f(3) is f(x) = -5 so x = 3

what is function?

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here, we have

f(3) is f(x) = -5

so x = 3

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Shayna and Arjun each improved their yards by planting grass sod and geraniums. They bought
their supplies from the same store. Shayna spent $16 on 2 ft² of grass sod and 1 geraniurn, Arjun
spent $73 on 1 ft² of grass cod and 7 geraniums. What is the cost if one ft² of grass sod and the cost of one geranium?

Answers

The cost of 1 ft² grass sod is $3 and the cost of 1 geranium is $10.

This is found using simultaneous equations.

What are simultaneous equations?

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations.

Let,

    x = Cost of 1 ft² grass sod

   y = Cost of 1 geranium

In Shayna's case

Grass sod = 2ft²

Geranium bought = 1

Cost = $16

Equation

2x + y = 16 ⇒ (1)

In Arjun's case

Grass sod = 1 ft²

Geranium = 7

Cost = $73

Equation

x + 7y = 73 ⇒ (2)

Solving the equation (1) and (2)

From (1)

y = 16 - 2x

Substituting the above in (2)

x + 7 (16-2x) = 73

-13x = -39

  x = 3  

   y = 16 - 2*3 = 10

Therefore from the solution of the above simultaneous equations, we can conclude that the cost of 1 ft² grass sod is $3 and the cost of 1 geranium is $10.

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what is the solution to the equation 1/ the root of 8 =4^(m-2). 15/4 11/4 5/4 9/4 plsssss help

Answers

m = 5/4 is the solution to the equation

How to find the solution to the equation?

An indices equation is an equation that relates the indices of two or more variables or functions in a mathematical expression. The indices are the exponents of the variables or functions, and the equation states the relationship between them.

The equation can be simplified as follows:

[tex]\frac{1}{\sqrt{8} } = 4^{m-2}[/tex]

[tex]\frac{1}{8^{\frac{1}{2} } } = 4^{m-2}[/tex]

[tex]8^{-\frac{1}{2} } = 4^{m-2}[/tex]

[tex](2^{3})^{-\frac{1}{2} } = 2^2^{(m-2)}[/tex]

[tex]2^{-\frac{3}{2} } = 2^2^{(m-2)}[/tex]

Equate the powers or exponents:

-3/2 = 2(m-2)

-3/2 = 2m - 4

2m = -3/2 + 4

2m =5/2

m = 5/4

The solution to the equation is m = 5/4

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True or False?

When solving two-step equations, you are basically using the reverse order of operations to solve the two-step equations.

Answers

you must use inverse operations to solve two-step equations.

What is the area of the right triangle with base 5 cm and altitude 4cm?

Answers

The area of the right triangle with base 5 cm and altitude 4 cm will be 10 cm².

The area of right triangle is calculated using the formula -

Area = 1/2 × b × h. In the formula, the b is base of triangle and h is height of triangle.

Keep the values in formula to find the area of the right triangle.

Area = 1/2 × 5 × 4

Performing division on Right Hand Side of the equation

Area = 5 × 2

Performing division on Right Hand Side of the equation

Area = 10 cm²

Therefore, the area of right hand triangle will be 10 cm².

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Magela is modeling 3.18 / 6. How should she exchange the place value blocks so she can make 6 equal shares?

Answers

Place value blocks should be exchanged as

30 tenths and 18 hundredths for modeling 3.18/6 .

What is place value ?

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number. For example, the place value of 7 in 3,743 is 7 hundreds or 700. However, the place value of 7 in 7,432 is 7 thousands or 7,000.

Given,

Number to model = 3.18/6 = 0.53

The number is 3 wholes 1 tenths and 8 hundredths.

To divide it into 6 equal shares she has to exchange place value blocks as

30 tenths and 18 hundredths

Making its equal shares

30/6 tenths and 18/6 hundredths

5 tenths and 3 hundredths

Hence, 30 tenths and 18 hundredths is the way to exchange place value blocks for modeling 3.18/6.

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What are the 5 algebraic properties of equality?

Answers

The five algebraic properties of equality are: Reflexive, Symmetric, Transitive, Addition, and Multiplication properties

Reflexive property: For any real number a, a = a.Symmetric property: For any real numbers a and b, if a = b, then b = a.Transitive property: For any real numbers a, b, and c, if a = b and b = c, then a = c.Addition property of equality: For any real numbers a, b, and c, if a = b, then a + c = b + c.Multiplication property of equality: For any real numbers a, b, and c, if a = b, then a * c = b * c.

These properties are the foundation of algebraic manipulation and are used to solve equations and simplify expressions.

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What is this number in standard form?

(4×100)+(1×10)+(3×1/10)+(5×1/1,000)

Answers

410.3005

thats the answer but i need to add more characters ignore this

How do you solve 2 ordered pairs?

Answers

An ordered pair is a set of two values, (x,y), that represents a point on a coordinate plane. To solve an ordered pair means to find the coordinates (x,y) of a point on a coordinate plane.

To solve two ordered pairs, you would need to know the coordinates of both points, and then you can graph them on a coordinate plane to visualize the relationship between the two points.

For example, if you have the ordered pairs (2,3) and (4,5), you can graph them on a coordinate plane with the x-axis and y-axis, where x represents the horizontal position and y represents the vertical position. The point (2,3) would be located at 2 on the x-axis and 3 on the y-axis, and the point (4,5) would be located at 4 on the x-axis and 5 on the y-axis.

Once you have plotted the points on a coordinate plane, you can use them to make a conclusion about the relationship between the two points, for example if they are in the same line, if the distance between them, if they form a slope, etc.

got moved to a new class, no intro no subject, i dont know what kind of problem this is or how to solve it,, help pls!!!​

Answers

Answer:94

Step-by-step explanation:

English is not my first language, so I don't know if you understand what I meant in the explanation.

Please help as soon as possible!!!

Answers

Answer:

Anything to the 0 power is equal to 1

Step-by-step explanation:

Answer:

Anything to the zero power equals 1.

The function f(x) is defined below. What is the end behavior of f(x)?

f(x) = 80x* 2 + 640 - 400х - 52

Answers

The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

The function f(x) is defined as:

→ f(x)= 80x* 2 + 640 - 400x - 52

We need the degree and the leading coefficient to determine the behavior.

Since our leading coefficients has a leading even degree of 5, and a positive number,

The function will Rises to the left and falls to the right.

The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.

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What type of sequence is 1 1 2 3 5 8?

Answers

Answer:

Fibonacci sequence

Step-by-step explanation:

A sequence where a term in the sequence is the sum of the 2 previous terms , is a Fibonacci sequence , that is

1 + 1 = 2

2 + 1 = 3

3 + 2 = 5

5 + 3 = 8

A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.


Outcome Frequency
Heart 7
Spade 3
Club 6
Diamond 4


Determine the experimental probability of drawing a heart.
0.13
0.25
0.35
0.70

Answers

Answer:

.35

Step-by-step explanation:

Experimentally   7 hearts were drawn with 20 tries

7/20 = .35

Answer: A: 0.13

Step-by-step explanation:

What is the growth factor in an exponential function?

Answers

The growth factor in an exponential function is the constant multiplier that is used to generate the next value in a sequence. It is usually represented by the letter r or b.

The growth factor in an exponential function

The growth factor in an exponential function is a constant multiplier that is applied to each successive value in the series to generate the next value.

For example, with an exponential function of the form y = a*b^x, the growth factor is represented by the letter b.

The growth factor is essentially the rate of growth of the exponential function, and is calculated by taking the ratio of two successive values of the function.

For example, with the function y = 2*3^x, the growth factor would be calculated by taking the ratio of y(x+1) / y(x) = 3. This means that for every one unit increase in the value of x, the value of y is multiplied by 3.

The growth factor is an important concept in exponential functions, as it helps describe how quickly the function is growing or decaying.

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Scientists define energy asfor usis possible because we have learned how toand then use it to3. Energyalong the road and boats through the water. It can bake a cake in the oven, keep ice frozen in the freezer, andour homes.4. What are the two basic categories of the seven forms of Energy?5. Define kinetic energy6. Define potential energy:7. Create a T-chart to organize the seven types of energy as potential or kinetic. Give an example of each! A significance test is conducted for which the alternative hypothesis states that more than 85 percent of adult sea turtles on a certain beach are female. The p-value for the test is 0.4158. If the null hypothesis is true, which of the following statements is a correct interpretation of the p-value?a. Of all possible samples of the same size, 41.58 percent will result in 85 percent of adult sea turtles on the beach being female. b. Of all possible samples of the same size, 41.58 percent will result in 85 percent or more of adult sea turtles on the beach being female. c. Of all possible samples of the same size, 41.58 percent will result in 85 percent or less of adult sea turtles on the beach being female. d. Of all possible samples of the same size, 20.79 percent will result in 85 percent or more of adult sea turtles on the beach being female. e. Of all possible samples of the same size, 20.79 percent will result in 85 percent of adult sea turtles on the beach being female. A class of 37 students took a test worth 100 points. The five-number summary of their scores is 55, 67, 73, 81, 98. Identify the FALSE statement: Group of answer choices At least 25% of the students scored a 67 or below. At least 18 students scored below a 67. At least 9 students scored between 67 and 73. At least 25% of the students scored an 81 or above. Why would the Goodnight-Loving Trail or the Great Western trail be used to send cattle to California? What Was Rube Goldberg's purpose for creating the invention, "The Self-Operating Napkin"?A. to help diners stay clean while eating soupB. to entertain his guests with a fun way to eat dinnerC. to create an invention that people could not live withoutD. to show that technological solutions are not always practical List two early problems our new nation encountered in its dealings with foreign countries. (Site 1) 7. Mrs. Dyson asked her students to draw a figure with a perimeter of 4x+4.Shown below are 4 drawings made by her students. (They are not drawn toscale.) Which one is NOT correct? * C6H12O6 O3 NF3 Co KNO3 H2 COWhich one of these are molecules list all that apply What is the importance of crossing over and independent assortment?O It allows for exact copies of the cells to be madeIt allows for mitosis to occur properlyO It allows for genetic variation within speciesIt allows for the same gametes to be produced every time Please answer quickly!! It would mean a lot (: uh have a great day and good luck with your own questions!How is oxygen and carbon dioxide exchanged between the cells of the body?Gas Exchange | Anatomy and Physiology IIQuestion 3 options:oxygen moves from the blood into the cells of the body, and carbon dioxide moves from the cells of the body into the blood both oxygen and carbon dioxide move from the blood into the cells of the body carbon dioxide moves from the blood into the cells of the body, and oxgyen moves from the cells of the body into the blood both oxygen and carbon dioxide move from the cells of the body into the blood Given g(x) = -5x+ 2, find g(4).Answer: