Rodrigo is taking an SAT prep class at the Westminster Community Center. The community center is 3.1 miles away from Rodrigo's house. How far apart are Rodrigo's house and the community center on a map with a scale of 3 inches : 9.3 miles?

Answer:

9.7x10^-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:Yes, because the line that represents the first wall has a slope of -.25 and the line that represents the second wall has a slope of 4

Step-by-step explanation:

check the slope of both points

(-6,11.5) to (2, 9.5)  

11.5-9.5= 2

-6-2=-8

2/-8

m=-1/4

(-1, -2.5) to (2,9.5)

-2.5=9.5=-12

-1-2=3

-12/-3

m=4

Yes, because the line that represents the first wall has a slope of -.25 and the line that represents the second wall has a slope of 4

Dominic is on the 8.75 mile of the bike path

From the question, the given parameters are:

The above parameters implies that

Dominic's position = 70% of the total distance

Represent the total distance with x

So, we have the following representation

Dominic's position = 70% * x

Where

x = 12.5

So, we have

Dominic's position = 70% * 12.5

Evaluate the products

Dominic's position = 8,75

Hence, Dominic's position is 8,75 miles

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Answer: 105 (altough im not entirely sure sry...)

Step-by-step explanation:

I believe since it is "fg" then only the g gets the 7 (g(7)) and the f is just f(1)

This is quite difficult so you this may not be correct

I hope

The point (-2, 7) is not on the graph of y = -2x + 1

From the question, we have the following equation

y = -2x + 1

This equation represents the equation of the graph

Also, we have the following points

(-2, 7)

This point implies that

(x, y) = (-2, 7)

Substitute (x, y) = (-2, 7) in the equation y = -2x + 1

So, we have

7 = -2 x -2 + 1

Evaluate

7 = 5

This is false

Hence, the point is not on the graph

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The height of the rectangular vessel into which the volume of water that completely fills the cylindrical bucket is poured is approximately 25 centimeters

What is the relation between height and volume of a cylinder?

The volume of a cylinder is the product of the base area of the cylinder and the height of the cylinder.

Height of the cylindrical bucket, h = 50 cm

Radius of the bucket, r = 21 cm

The level of water in the cylindrical container = The container is filled completely with water

The shape of the vessel into which the water is poured = Rectangular vessel

Length of the rectangular vessel into which the water in the cylinder is poured, L = 63 cm

Breadth of the rectangular  vessel, B = 44 cm

Level to which the water fills the rectangular vessel = The rectangular vessel is completely filled with the water poured in from the cylinder

Volume of water in the cylinder, V = Volume of the cylinder = π·r²×h

Therefore;

V = π × 21² × 50 = 22050·π

The volume of water transferred from the cylinder = 22050·π cm³

Volume of the rectangular vessel, [tex]V_s[/tex] = L × B × H

[tex]V_s[/tex] = V = 22050·π cm³

Therefore;

The height of the rectangular vessel, H = [tex]V_s[/tex]/(L × B)

H = 22050·π/(63 × 44) = 24.9899415626 ≈ 25

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Step-by-step explanation:

we have 11k + 4k.

this is like saying "I have 11 apples and then get 4 more apples - how many apples do I have ?"

in other words, how many "k" do I have ?

11 + 4 = 15.

we have 15k.

and then there is -3 + 8 = 5

so, the answer is

15k + 5

Answer:

15k + 5

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The expression is,

→ 11k - 3 + 4k + 8

Let's simplify the expression,

→ 11k - 3 + 4k + 8

→ 11k + 4k - 3 + 8

→ (11k + 4k) + (-3 + 8)

→ (15k) + (5)

→ 15k + 5

Hence, the answer is 15k + 5.

The greatest number of costumes the dance group can make is 15.

The mathematical operation that would be used to determine the answer is division. Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.

The first step is to determine the number of costumes that can be made given the total yards of black material.

Total costumes that can be made = total length available / length required for each costume

30 / 2= 15

The second step is to determine the number of costumes that can be made given the total yards of red material.

Total costumes that can be made = total length available / length required for each costume

60 / 3 = 20

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The graph has no vertex

The transformations from the parent function are

The graph represents the given parameter

As a general rule, the maximum or the minimum of a graph is the vertex

However, the graph has no maximum or minimum

This means that there is absence of a vertex in the graph

Here, we have:

This transformation can be represented as (x - 4, y - 2)

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The unit price for a 7-meter roll of blue ribbon costs $12.04 is $1.72.

The unit price is simply used to calculate the price that's paid for each good.

In this case, the 7 -meter roll of blue ribbon costs $12.04. Therefore, to get the unit price goes thus:

= Total amount paid / Number of meters

= $12.04 / 7

= $1.72

The unit price is $1.72.

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Answer:

[tex]\frac{11}{4}[/tex] or 2 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Here is one way to solve this problem

2x - [tex]\frac{7}{4}[/tex] = x + 1  (3/3 is another way to write one)  Multiply all the way through by 4

4(2x - [tex]\frac{7}{4}[/tex]) = 4(x + 1)  Distributive property

8x -7 = 4x +4  Subtract 4x from both sides

4x - 7 = 4  Add 11 to both sides

4x = 11  Divide both sides by 4

x = [tex]\frac{11}{4}[/tex]

The 99% confidence limit will be option B which is (45, 55)

90% confidence limits for the population mean are (46,54)

mean = 46+54 / 2 = 50.

the margin of error E = 54-46/2 = 4

For 90% Confidence Z- Critical value is = 1.645

But the margin of error

E = ZS/√n

4=(1.645)S/√n

S/√n = 4 / 1.645

= 2.4316

For 95% confidence Z-critical value is 1.96

A 95% confidence interval is = mean ± E

(50 ± 1.96) S/√n = (50 ± 1.96)×2.4316

= 50+ 4.7660

= 45.2340, 54.7660

= (45, 55)

Hence the correct option is B which is (45, 55) as the 99% confidence limit.

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Answer:

75

Step-by-step explanation:

15*3=45

6*5=30

45+30=75

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Answer:

D.4y−x=4

Step-by-step explanation:

Perpendicual lines have a slope that is the negative inverse of the referenced line.  The reference here is:

       y = -4x-5

The slope is -4

The negative inverse of -4 would be +(1/4).  Any line that has a slope of +(1/4) will be perpendicular to y=-4x+5.

The equations in the answer options are not arranged according to the standard format of y=mx+b, where m is the slope and b the y-intercept.

We could graph all the equations and look for the one(s) that are perpendicualr, but it might be safer, and faster, to rearrange them in the standard format, and then note the slope:

                                  Slope     =+(1/4)?

A. x+4y=-32  

    4y= -x-32

     y = -(1/4)x-8        -(1/4)           NO

B.4x+y=3

     y = -4x + 3            -4                NO

C.4x−y=−4

     y = 4x + 4             4                 NO

D.4y−x=4              

     4y=x+4               +(1/4)      <==YES

      y=(1/4)x+1    [Option D has a slope of +(1/4).  It will be perpendicular]

See the attached graph.

Answer:

0.000065 km

Step-by-step explanation:

To get from cm to km you need to divide 6.5 by 0.000001 which equals 0.000065km

Answer x = 19/24

Step-by-step explanation:

According to the vertex form of the parabola,

a) The value of a is -1/7.

b) And If the hoop is 10 ft high, the distance close to Allie have to be in order to make the basket should be 16 feet.

Vertex form of the parabola

The vertex form of the parabola can be given as,

y = a(x - h)² + k

Where

h,k are the coordinates of the vertex.

Given,

Allie is playing basketball. She takes a shot 17 ft away from the basket. When the ball is 2 ft away from her, it is at a height of 10 ft above the floor. The ball reaches its highest height of 17 ft above the floor when it is 9 feet away from her.

Here we need to find the following:

a. The value of a

b.  If the hoop is 10 ft high, how close would Allie have to be in order to make the basket?

We know that, Allie takes a shot of 17 ft away and at the distance of 2 feet the ball achieve the height of 10 feet from the ground.

And the greatest height achieved by the ball is 17 ft above the floor.

Then the value of a is calculated by using the point that is obtained thorough the given details is,

=> (2, 10)

And the vertex of the equation are (9, 17)

When we apply these on the vertex form, then we get,

10 = a(2 -  9)² + 17

-7 = a(-7)²

49a = -7

a = -1/7

Therefore, the value of a is 1/7.

Now we have to find if the hoop is 10 ft high, The distance close to Allie have to be in order to make the basket-

Here the value of y is 10 and x is not known.

Now, we have to put these values on the equation then we get,

=> 10 = -1/7 (x - 9)² + 17

=> -7 = -1/7 (x -9)²

=> 49 = (x - 9)²

=>√49 = x - 9

=> x = 16

Therefore, if the hoop is 10 ft high, the distance close to Allie have to be in order to make the basket should be 16 feet.

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The number of early-admission tickets that it sells is 30.

From the information, 30% of the tickets sold at a school carnival were early-admission tickets and the school sold 100 tickets in all.

Therefore, the number of early admission will be:

= Percentage for early admission × Total number of tickets

= 30% × 100

= 0.3 × 100

= 30

Therefore, there are 30 early admission.

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The principle investment necessary to obtain a total sum of $400.00 from simple interest at an annual rate of 8% for 8 years is $243.90.

Arithmetic operations is a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics. It consists mostly of operations like addition, subtraction, multiplication, and division. Arithmetic Operator is used to conduct mathematical operations on the supplied operands such as addition, subtraction, multiplication, division, modulus, and so on.

Here,

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year.

Solving our equation:

P = 400 / ( 1 + (0.08 × 8)) = 243.90243902439

P = $243.90

The principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 8 years is $243.90.

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(a) Probability that third apple is red from three selected apple one after one is 22/23.

(b) Probability that exactly two of the three apples are red is 0.3012

In the question we have,

total number of apples in a box = 25

number of red apples in a box = 22

number of green apples in a box = 3

Now, three apples are selected at random,one after other without replacement and first two apples are green .

(a) Then number of apples remained in a box after two green apples withdraw = 23

probability that third apple is red = 22/23

(b) The following are possible number of sample spaces for exactly two of the three apples are red

where , R--> red apple and G--> green apple

For first sample space , RGR i.e first and last apples are red

probability that first and last apples are red from three withdraw apples or P(RGR) = 22/25× 3/24× 21/23 = 0.1004

similarly, P(RRG) = 22/25×21/24×3/23 = 0.1004

P(GRR) = 3/25×22/24×21/23 = 0.1004..

Probability that exactly two apples are red = P(RRG)+ P(RGR)+ P(GRR) = 3(0.1004) = 0.3012

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Answer:

[tex]6x^{3}t^{3}[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{2x^3t^3}{xt^2}\:\cdot \dfrac{\left(3xt\right)^3}{9x^2t}[/tex]

[tex]\textsf{Apply exponent rule} \quad (ab)^c=a^c \cdot b^c:[/tex]

[tex]\implies \dfrac{2x^3t^3}{xt^2}\:\cdot \dfrac{3^3x^3t^3}{9x^2t}[/tex]

[tex]\implies \dfrac{2x^3t^3}{xt^2}\:\cdot \dfrac{27x^3t^3}{9x^2t}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{b} \cdot \dfrac{c}{d}=\dfrac{ac}{bd}:[/tex]

[tex]\implies \dfrac{2x^3t^327x^3t^3}{xt^29x^2t}[/tex]

Collect like terms:

[tex]\implies \dfrac{2 \cdot 27x^3x^3t^3t^3}{9x^2xt^2t}[/tex]

Multiply the numbers 2 and 27:

[tex]\implies \dfrac{54x^3x^3t^3t^3}{9x^2xt^2t}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies \dfrac{54x^{3+3}t^{3+3}}{9x^{2+1}t^{2+1}}[/tex]

[tex]\implies \dfrac{54x^6t^6}{9x^3t^3}[/tex]

Separate like terms:

[tex]\implies \dfrac{54}{9} \cdot \dfrac{x^6}{x^3}\cdot \dfrac{t^6}{t^3}[/tex]

Divide the numbers 54 and 9:

[tex]\implies 6 \cdot \dfrac{x^6}{x^3}\cdot \dfrac{t^6}{t^3}[/tex]

[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies 6 \cdot x^{6-3}\cdot t^{6-3}[/tex]

[tex]\implies 6 \cdot x^{3}\cdot t^{3}[/tex]

[tex]\implies 6x^{3}t^{3}[/tex]

Answer:

1710 grams (not on the answer list)

Step-by-step explanation:

The total weight of the 4 packages is 3.8 pounds (lbs). The conversion factor is (0.45 kg/lb).

(3.8 lbs)*((0.45 kg/lb) = 1.71 kg or 1710 grams. Pease check the numbers provided.

Step-by-step explanation:

these intercepts are the points where the graph intersects with the coordinate axes (x and y).

the x-intercept is a point on the x-axis, meaning when y = 0.

the y-intercept is a point on the y-axis, meaning when x = 0.

so, the x-intercept here is 14 at the point (14, 0).

the y- intercept is 7 at the point (0, 7).

that means the object started falling from a height of 7 meters and hit the ground after 14 seconds.

the falling speed was then

7 meters / 14 seconds = 0.5 meters / second

what are we talking about ? an asteroid with very little gravity ?

Hello!

If Brad had a small gathering at a local steakhouse where they ordered 4 of the 6-ounce platters, 3 of the 8-ounce platters, and 2 of the 11-ounce platters. After adding an 18% gratuity their total before sales tax should have been $130.45

Step-by-step explanation:

[tex]4[/tex] x [tex]9.95=39.80[/tex]

[tex]3[/tex] x [tex]12.95=38.85[/tex]

[tex]2[/tex] x [tex]15.95=31.90[/tex]

[tex]31.90+[/tex][tex]38.85+[/tex][tex]39.80=[/tex][tex]110.55[/tex]

[tex]110.55[/tex] x [tex]0.18[/tex] [tex]=19.899[/tex]

[tex]110.55+19.90[/tex][tex]=130.45[/tex]

There is no possible solution for the weight of raspberries sold, given that 28 pounds of banana were sold.

What is Co-ordinate Geometry?

Graphs and coordinates are utilised in coordinate geometry to discover information about various geometric figures. A description of the coordinate plane must be included in a definition of coordinate geometry. A coordinate plane, also known as a coordinate graph, is a grid system formed by the intersection of two number lines known as axes. The x-axis is the horizontal number line, and the y-axis is the vertical number line. These axes meet at a position known as the origin.

Solution:

let, the total weight of banana sold be x pounds

and total weight of raspberries soldd be y pounds.

From the data given in the question, the equation formed is

3x + 2.25y = 72

(See Graph)

at x = 28 we will get the value of y as -5.34

which is not a possible solution

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Answer:

y=2·6^2

Step-by-step explanation:

Use formula y=a[tex]b^x[/tex], plug in two different points.

72=ab^2

12=ab^1

isolate one so that a is on one side

a=[tex]\frac{12}{b}[/tex]

plug in a into the other equation

72=[tex]\frac{12}{b}[/tex][tex]b^2[/tex]

72=[tex]\frac{12b^2}{b}[/tex]

72=12b

b=6

complete solving for a now

a=2

now put it back into [tex]y=ab^x[/tex]

y=2·6^2

Answer: 160

Step-by-step explanation:

because you times 40 by 4 as 4 is the first term and 4x10=40 <3

hope this helped <3