Please explain the bottom two the ones with the explanation box

The function that describes the car's distance from little rocks would be option A; y = 45x + 280

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Point 1:

(x, y) = (0, 280)

Since we are told the car's initial position is 280 miles in the time 0 h

Point 2:

(x, y) = (4, 100)

Since we are told the car's final position is 100 miles after 4h.

Let's find the Slope :

m = 45

Now, the equation of the line is:

y = mx + b

y = 45x + 280

Then, The function that describes the car's distance from little rocks would be option A; y = 45x + 280

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Answer:

I think

each division is subtracted like

8 - 4 = 4

so that why it's written as

1/4 ...........

1/8 1/8 ..........

Step-by-step explanation:

if understand I need brainlist

if not then also

thanks

Answer:

D

Step-by-step explanation:

x² + y² = 64, because when x is 0, y = ± 8, when y is 0, x = ± 8, that is the radius r

The equation of a circle with center at the origin and radius 8 is,

⇒ x² + y² = 64

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

This circle is centered at the origin, and the length of its radius is 8.

Since, The equation of a circle with center at the origin and radius r is,

⇒ x² + y² = r.

Hence, for this circle, the equation would be;

⇒ x² + y² = 8²,

or simplified,

⇒ x² + y² = 64

Thus, The equation of a circle with center at the origin and radius 8 is,

⇒ x² + y² = 64

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Answer:

36.2

Step-by-step explanation:

Assuming that the dotted line is a perpendicular bisector, we can say that it splits the side that is 30 units long into 2 sets of 15 units. Then, we can use the pythaogrean theorem to solve (Leg A is 33 and Leg B: 15). a^2+b^2=c^2

33^2+15^2=c^2

1089+225=c^2

1314=c^2

Square root of 1314 = square root of c^2

36.2 aapproximately c

The volume of the spherical ball will be  4 · π · 3² · 10⁶ cubic cm. Then the correct option is A.

The complete question is attached below.

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The radius of the sphere is 3·10² cm.

Then the volume of the spherical ball will be

V =  4/3 πr³

V =  4/3 π(3 x 10²)³

V =  4/3 · π · 3³ · 10⁶

V =  4 · π · 3² · 10⁶ cubic cm

Then the correct option is A.

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Answer:

4x+5 ≤29. Answer = $6 or less

Step-by-step explanation:

1. x= the price of the rice bowl

2. 4x= price of 4 rice bowls

3. So we get 4x+5(The total amount of their purchase)

4. Kara has only $29 so she can spend that much

5. The inequality 4x+5≤29 represents how much can she spend on each rice bowl.

6. The answers include $6,$5,$4,$3,$2, and $1 or less.

Answer:

12 Vanilla Frosted Cupcakes

Step-by-step explanation:

30 Cupcakes.

1/5 Of 30 is 6.

30 - 6 = 24.

24/2 = 12.

Based on the data, the true statement about the people surveyed is: option B.

A two-way frequency table is a table that's used to graphically the represent frequencies or relative frequencies that are associated with two categorical variables such as role model and level of education.

By critically observing the data provided in this two-way frequency table, we can infer and logically deduce that a person whose role model is a stranger is more likely to have high school (0.4 or 40&) than some college as their highest level of education.

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Answer:

B

Step-by-step explanation:

14%start color #11accd, 14, percent, end color #11accd of the people whose role model is a family member have an advanced degree, but only \maroonD{12\%}12%start color #ca337c, 12, percent, end color #ca337c of people whose role model is a friend or acquaintance have an advanced degree.

This statement is false.

40%start color #1fab54, 40, percent, end color #1fab54 of people who role model is a stranger have high school as their highest level of education, while only \purpleC{23\%}23%start color #aa87ff, 23, percent, end color #aa87ff have some college as their highest level.

This statement is true.

We only know the column relative frequencies, not the row relative frequencies, so we cannot make this claim.

If there were an equal number of people with family members and strangers as role models, then the statement would be true. However, suppose this data came from a sample where 100100100 people have a family member as a role model and 400400400 people have a stranger as a role model.

Family member: 0.23(100)=230.23(100)=230, point, 23, left parenthesis, 100, right parenthesis, equals, 23 would have a bachelor's degree as their highest level of education

Stranger: 0.14(400)=560.14(400)=560, point, 14, left parenthesis, 400, right parenthesis, equals, 56 would have a bachelor's degree as their highest level of education

Without knowing the total number of people in each group, or the row relative frequencies, we can't say this statement is true.

We only know the column relative frequencies, not the row relative frequencies, so we cannot make this claim.

If there were an equal number of people with friends or acquaintances and strangers as role models, then the statement would be true. However, suppose this data came from a sample where 400400400 people have a friend or acquaintance as a role model and 200200200 people have a stranger as a role model.

Friend or acquaintance: 0.12(400)=480.12(400)=480, point, 12, left parenthesis, 400, right parenthesis, equals, 48 would have finished less than high school

Stranger: 0.19(200)=380.19(200)=380, point, 19, left parenthesis, 200, right parenthesis, equals, 38 would have finished less than high school

Without knowing the total number of people in each group, or the row relative frequencies, we can't say this statement is true.

Based on this data, the statement which must be true is, "A person whose role model is a stranger is more likely to have high school than some college as their highest level of education. "

Using the cosine rule, the equation to use to solve for x is: x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41)) ≈ 3.1 cm.

The cosine rule is given as, c = √(a² + b² − 2ab × cos(C))

Given the following:

Plug in the values:

x = √(4.0² + 4.7² − 2(4.0)(4.7) × cos(41))

x ≈ 3.1 cm

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The equation is written as 3(x+12)²+20.The formula for ax² + bx + c is (Ax + B)² + C.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

3x^2+12x+20

The equation is compared the equation with,ax²+bx+c

After comparing the equation we get;

a=3

b=12

c=20

The equation is written in the form as;

⇒a(x+b)^2+c

⇒3(x+12)²+20

The formula for ax² + bx + c is (Ax + B)² + C.

Hence the equation is written as 3(x+12)²+20.

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The coordinates for point B are (a) (7,0)

Point B is located 7 units right of the origin. What are the coordinates for point b?

The origin is located as:

(0,0)

From the question, we understand that:

B ⇒ 7 unit right of origin

This means that:

B = (0 + 7, 0)

Evaluate the sum

B = (7,0)

Hence, the coordinates for point B are (a) (7,0)

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Answer:a

Step-by-step explanation:

Answer:

x = 9/4 + 1/4 √17 or x = 9/4 + −1/4 √17

/ = over

Step-by-step explanation:

a = 2, b=-9, c=8

x = −b±√b2−4ac/2a

x = −(−9)±√(−9)2−4(2)(8)/2(2)

x = 9±√17/4

x = 9/4 + 1/4 √17 or x = 9/4 + −1/4 √17

Answer:

Step-by-step explanation:

Hi, let me help you out.

First I'm going to turn the verbal phrase into an algebraic phrase...

21+n=37. here n is the unknown number

Next, I believe you need to find what n equals.

This can be done by subtracting 21 from both sides.

n=37-21

n=16

Thus the number we need is 16.

_________________

Hope I helped. Best wishes.

Answer:

Common difference:  30

General term formula:   [tex]a_n=30n-9[/tex]

52nd term:  1551

Step-by-step explanation:

Given sequence:

21, 51, 81, 111

Calculate the difference in terms:

[tex]21 \underset{+30}{\longrightarrow} 51 \underset{+30}{\longrightarrow} 81 \underset{+30}{\longrightarrow} 111[/tex]

The sequence is increasing by 30 each time, so as there is a common difference, this is an arithmetic sequence with a common difference of 30.

General form of an arithmetic sequence

[tex]a_n=a+(n-1)d[/tex]

where:

Given:

Substitute the given values into the formula to find the general term formula:

[tex]\implies a_n=21+(n-1)30[/tex]

[tex]\implies a_n=21+30n-30[/tex]

[tex]\implies a_n=30n-9[/tex]

To find the 52nd term, simply substitute n = 52 into the found general term formula:

[tex]\implies a_{52}=30(52)-9[/tex]

[tex]\implies a_{52}=1560-9[/tex]

[tex]\implies a_{52}=1551[/tex]

Answer:

A).

Step-by-step explanation:

The numbers should be in consecutive order e.g. - 6.2 6.3 6.4

Answer:

I think favorable outcomes are just the outcomes

which is 6

SR, SB, MR, MB, LR, LB

Step-by-step explanation:

Answer:

46,57/4

Step-by-step explanation:

area = π.r^2 = π.(d^2)/4

d^2 = AB^2= 5,6^2+3,9^2 =46,57

----> area = π.46,57/4

Answer: 7/8

What you have to do here is to find the highest number which can be divided by both. Or you have to divide both the numerator and denominator until it can not be divided by any number anymore. You can do this by finding the highest common factor (HCF) of both the number, 35 and 40.

Highest Common Factor: HCF of two or more numbers is the greatest factor that divides the numbers. For example, 2 is the HCF of 4 and 6.

So, the highest number which divides 35 and 40, is 5. Now 35 divided by 5 is 7 and 40 divided by 5 is 8. The final answer is 7/8 and there is no more numbers which can divide both of them by a specific number.

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Equation 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p has the same soltion as the provided equation option second and third are correct.

It is defined as the combination of constants and variables with mathematical operators.

We have an equation:

2.3p – 10.1 = 6.5p – 4 – 0.01p

Combine like terms:

2.3p – 10.1 = 6.49p – 4

Or in the equation 2.3p – 10.1 = 6.5p – 4 – 0.01p mulitply by 100 on both sides.

We get:

230p – 1010 = 650p – 400 – p

Thus, equation 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p has the same soltion as the provided equation option second and third are correct.

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The area bounded by the curves y = 8x – x² and y = 7 will be 36 square units.

The complete question is given below.

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The curves are given below.

y = 8x – x²

y = 7

By solving the equations 1 and 2, then we have

       8x – x² = 7

x²  – 8x + 7 = 0

(x – 1)(x – 7) = 0

                 x = 1, 7

Then the area bounded by the curves y = 8x – x² and y = 7 will be

[tex]A = \int _1^7 [(8x - x^2) - 7] \ dx\\\\A = \left [ 4x^2 - \dfrac{x^3}{3} - 7x \right ]_1^7\\\\A = \left [ 4 * 7^2 - \dfrac{7^3}{3} - 7*7 \right ] - \left [ 4*1^2 - \dfrac{1^3}{3} - 7*1 \right ]\\\\[/tex]

On further solving we have

A = 32.667 + 3.333

A = 36 square units

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The length of the UT is 3 inches if the ratio of the lengths of the sides is 4:1. if the length of side DC equals 12 inches,

The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.

We have:

Georgia drew a scale model of one of the stepping stones in her garden. the two shapes are similar, and the ratio of the lengths of the sides is 4:1.

The length DC = 12 inches

DC/UT = 4/1

12/UT = 4/1

UT = 12/4 = 3 inches

Thus, the length of the UT is 3 inches if the ratio of the lengths of the sides is 4:1. if the length of side DC equals 12 inches,

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Answer:

3 in.

Step-by-step explanation:

Keep it simple :)

The sample space of event A would be {(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}

An experimenter does some random experiments which have a fixed set of outputs. That set of all possible outputs of that experiment is called sample space.

Using two six-sided number cubes, each labeled with the numbers 1 through 6.

Event A is defined by rolling a sum greater than 8.

Then the sample space of event A would be;

{(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}

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Answer:

{(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}

proof in pic

Based on the given mean absolute deviations, the sample mean absolute deviation will be 2 and the population mean absolute deviation will be 3.8.

= Sum of sample mean absolute deviation / Number

= (0 + 0.5 + 4.5 + 0.5 + 0 + 4 + 4.5 + 4 + 0) / 9

= 2

First find the population mean:

= (10 + 11 + 19) / 3

= 13.3

Population mean absolute deviation:
= 1/3 x ( (10 - 13.67) + (11 - 13.3) + (19 - 13.3))

= 3.8

We can therefore see that the sample mean deviations is a biased estimate of the population mean absolute deviation.

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Answer:

Step-by-step explanation:

Do you have any options or a graph?