Mr. Wong predicted that he would sell 45 automobiles. He actually sold 48 automobiles. What are the values of a and b in the table below? Percent Error Item Approximate value Exact value Error Absolute error Ratio Percent error Automobiles 45 48 a b a = Negative StartFraction 3 over 45 EndFraction; b = negative 6.8 percent a = Negative StartFraction 3 over 48 EndFraction; b = negative 6.25 percent a = StartFraction 3 over 48 EndFraction; b = 6.25 percent a = StartFraction 3 over 45 EndFraction; b = 6.8 percent

Answer:

The number line is attached below.

Step-by-step explanation:

The number to be plotted on the number line is:

[tex]x=-1\frac{7}{8}[/tex]

The value of x lies between -2 and 0.

Draw a number line from -2 to 0 with intervals at every one-eight value.

Mark the point at [tex]x=-1\frac{7}{8}[/tex].

The number line is attached below.

Answer:

12.94 gallons/week

Step-by-step explanation:

44x5=220

220/17=12.94

Answer:

13 gallons

Step-by-step explanation:

44 miles x 5 days = 220 miles

220 miles / 17mpg = 12.9

12.9 rounded up is 13

Final Answer is 13 gallons

Answer:

(16,14)

Step-by-step explanation:

Dilation is increasing/decreasing something by a factor. The shape remains the same; it's just bigger or smaller.

This shape is a square, so all lines are the same length. Find the distance between C and D (it can honestly be any adjacent points). The distance is 6. You can usually use the distance formula, but since C and D have the same y-coordinate, you can just do |x2-x1|. Since you're multiplying by 2, the new distance should be 12. Since the y-coordinate of A' is 14, the y-coordinate of B is also 14. The x-coordinate should be 12 units away from the new A' (which is (4,14)). B is (16, 14)

Answer:

To dilate from the origin, you would need to multiply each coordinate by 2. For example, for A(2*2,7*2). After you do that to each coordinate, plot the points on a graph(by hand or using Desmos). Then, since it is a square determine point B by counting a certain number of units away from another point. A square has four congruent sides.

Answer:

(n - 1)/2

Step-by-step explanation:

F = (1 - 1/n) + (1 - 2/n) + (1 - 3/n) + ...(1 - n/n)

  = (1 + 1 ... + 1) - (1/n + 2/n + 3/n + ...n/n)

     (there are n terms of 1)

  = n - (1 + 2 + 3 + ... + n)/n

  = n - [n x (n + 1)/2]/n

  = n - [n x (n + 1)]/[2 x n]

  = n - (n+1)/2

  = (2n - n - 1)/2

  = (n - 1)/2

Hope this helps!

Answer:

The inverse is x-8

Step-by-step explanation:

g(x) = x+8

y = x+8

To find the inverse, exchange x and y

x = y+8

Solve for y

Subtract 8 from each side

x-8 = y+8-8

x-8 = y

The inverse is x-8

Answer:

x=11/36

Step-by-step explanation:

1. Move the 4/9 to the right side to isolate valu e"x."

2. Create a common denominator between "4/9" and "3/4"

3. Your equation should look like this;

x=3/4-4/9

x=27/36-16/36

x=11/36

Answer:

11/36

Step-by-step explanation:

all work is in the image below!

Answer:

38.88

Step-by-step explanation:

72% of 54

= [tex]\frac{72}{100}[/tex] × 54

= 0.72 × 54

= 38.88

Answer:

38.88

Step-by-step explanation:

so if you work it out like me then you break it down

100% = 54

10% = 5.4

1% = 0.54  

you would take the 10% (5.4) and times it by 7 to get 70% (37.8) now you would take 1% (0.54) and times that by 2 and then add the 70% and the 1% times 2 together and you should get 38.88

Answer:

0.25 rad to the nearest hundredth radian

Step-by-step explanation:

Here is the complete question

Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.  

R(θ) = v₀²sin2θ/32

If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?

Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.

(θ)= ?rad

Solution

R(θ) = v₀²sin2θ/32

If v₀ = 80 ft/s and R(θ) = 95 ft

θ = [sin⁻¹(32R(θ)/v₀²)]/2

= [sin⁻¹(32 × 95/80²)]/2

=  [sin⁻¹(3040/6400)]/2

=  [sin⁻¹(0.475)]/2

= 28.36°/2

= 14.18°

Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad

= 0.25 rad to the nearest hundredth radian

Answer:

Theta= 0.32 rad

or Theta= 1.25 rad

Step-by-step explanation:

On the Aleks explanation

Answer:

About 198.6 feet

Step-by-step explanation:

This situation essentially forms a sideways triangle with height 80 feet. It can be divided into two right triangles, which you can each find the base length for, and then add them together to find the total height of the building.

Let's start with the lower base (with the angle measure of 56 degrees), which we'll call b. The tangent of an angle in a right triangle is the length of the opposite side divided by the length of the adjacent side, meaning that:

[tex]\tan 56=\dfrac{b}{80} \\\\b=80 \cdot \tan 56\approx 118.6[/tex]

Now, let's do it for the upper part, which we'll call y:

[tex]\tan 45=\dfrac{y}{80} \\\\y=\tan 45 \cdot 80=1 \cdot 80 =80[/tex]

Adding these together, you get a height of approximately 198.6 feet. Hope this helps!

Answer:

answer is 198.6

Step-by-step explanation:

Answer:

-9/8

Hope this helps

The right answer is - 9/8

please see the attached picture for full solution

Hope it helps..

Answer: 60 kids, 180 adults

Step-by-step explanation:

Let x be the number of children and y be the number of adults eating.

If they have 240 people eating then x+y=240.

If they have to fundraise 1200 then 2x+6y=1200.

Solving the system of equations, we can multiply the first equation by 2 to get 2x+2y=480. Then subtract the two equations and get -4y=-720, so y=180. Substitute y=180 back in to get x=60.

Hope that helped,

-sirswagger21

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]4(x + 2) = 2x + 10[/tex]

Distribute 4(x+2).

[tex]4x+8 = 2x + 10[/tex]

Subtract 2x and 8 from both sides.

[tex]4x-2x=10-8[/tex]

[tex]2x=2[/tex]

Divide both sides of the equation by 2.

[tex]\frac{2x}{2} =\frac{2}{2}[/tex]

[tex]x=1[/tex]

Answer:

x = 1

Step-by-step explanation:

4(x + 2) = 2x + 10

You start by expanding 4(x +2)

i.e. 4x + 8 = 2x + 10

Then, subtract 2x from both sides of the equation

4x + 8 - 2x = 2x + 10 - 2x

4x - 2x + 8 = 2x - 2x + 10

2x + 8 = 10

Subtract 8 from both sides of the equation

i.e. 2x +8 - 8 = 10 - 8

2x = 2

Divide both sides of the equation by the coefficient of x above(which is 2)

[tex]\frac{2x}{2} = \frac{2}{2}[/tex]

x = 1

Hope this helps :))

The number less than a cube is 26.

The cube of a number is obtained by multiplying the number three times.

Determine the cube of 3.

3·3·3=27

So, the cube of 3 is 27.

From the given options it can be observed that the number 26 is 1 less than 27.

Thus, the number one less than cube is 26.

To learn more about cube click:

https://brainly.com/question/28134860

#SPJ3

Answer:

Neither

Step-by-step explanation:

When I input segment CD onto a graph, I get -0.4 as the slope or 15/-6. If the lines were parallel, they would need to have the same slope which they do not have. If they were perpendicular, they would need to have different slopes so, -2/5 and 5/2 which they do not. That leaves us with the only option of neither.

Plz sub to Rebel_IOSツ on yt!

Answer:

AB and CD are parallel

Step-by-step explanation:

let's see what slope the line CD has:

as we see AB and CD have same slope, therefore they are parallel

Description:

Formula:  length * width * height    (L*W*H)

volume of larger prism

vp=45/4 ft^3 =11.25

vs=1/2*1/2*1/2

vs=0.125 ft^3

n=vp/vs

n= 11.25/.125

n=90

Answer: 90 smaller cubes will completely fill in the prism

Please mark brainliest

Hope this helps.

Answer: D. All interior angles and all sides are congruent.

Step-by-step explanation:

If it is a regular polygon, then all angles and sides have to be congruent.

The interior angles aren’t congruent to the exterior angles.

Not all angles have to be congruent, in regular or irregular.

Since this polygon has 25 sides, opposite pairs aren’t parallel because there are an odd number of sides. That means there are no opposite pairs.

Answer:

D

Step-by-step explanation:

Answer:

First notice that they’re asking for the absolute value of the equation.

The absolute value is how far that number is from 0.

Basically it’s the number without a negative sign.

ok so 6-27 = -21

The product for 6-27 (21) is 21 spaces away from 0.

|6-27| = 21

21 is the answer to your question.

Hope this helped and pls mark me brainliest if it did :)

Answer:

Length of AC segment=10 units

Step-by-step explanation:

We are given that AB and DA are radius of circle.

BC and DC are tangents of circle which intersect at point C.

AB=8 units

BC=6 units

Angle CAD=37 degree

We know that radius is always perpendicular to the tangent.

Therefore, AB is perpendicular to BC.

Using Pythagoras theorem

[tex](Hypotenuse)^2=(Base)^2+(perpendicular\;side)^2[/tex]

[tex]AC^2=AB^2+BC^2[/tex]

[tex]AC^2=8^2+6^2=100[/tex]

[tex]AC=\sqrt{100}=10 units[/tex]

Answer:

a.) 10 units

Step-by-step explanation:

correct on edg.

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

A music teacher asked 23 students in the band how many hours they practiced playing their instrument each week. The results are shown in the dot plot. Which statement best describes the data?

a. The data are skewed left, so most student's practice times are more than the mean practice time.

b. The data are skewed left, so most student's practice times are less than the mean practice time.

c. The data are skewed right, so most student's practice times are less than the mean practice time.

d. The data are skewed right, so most student's practice times are more than the mean practice time.

Answer:

The correct option is a.

The data are skewed left, so most student's practice times are more than the mean practice time.

Step-by-step explanation:

Refer to the attached box plot which shows number of hours the students spent on practice for playing their instrument each week.

When the data distribution is not symmetric around the mean then it is either skewed to right or skewed to left.

The given box plot is skewed to the left since the tail of the distribution on the left side is longer than the right side or in other words, most of the data is leaning to the right side of the curve.

Due to this, most student's practice times are more than the mean practice time.

A left skewed distribution is also known as negatively skewed distribution.

Therefore, we can conclude that the correct option is a.

a. The data are skewed left, so most student's practice times are more than the mean practice time.

Answer:

Original figure: (-6,-5)

final figure: (-6, 5)

Step-by-step explanation:

the point would fall at (-6, 5) because it is reflecting across the x-axis (the horizontal one) and since it is the original point is 5 away from the x-axis, the final point would be at 5 as well. the y-coordinate doesn't change because it is only reflecting over the x-axis. the shape would essentially be flipped if you reflected it over the x-axis, so the point would be on the bottom of the figure instead of the top. Hope this helps I tried my best to explain!

Answer:

x = -63

Step-by-step explanation:

If the points A(x,2), B(-3, -4), and C(7, -5) are collinear, the line that passes B and C, also passes A.

The line passes B and C has the form of y = ax + b

=> -4  = a(-3) + b

    -5  = a(7) + b

=> Subtraction 1st equation from 2nd equation, we have:

    -1 = 10a

=> a = -1/10

=> b = -4 + 3(-1/0) = -43/10

=> This line has form of y = (-1/10)x -43/10

This line passes A(x, 2)

=> 2 = (-1/10)x - 43/10

=> 2 + 43/10 = (-1/10)x

=> 63/10 = (-1/10)x

=> x = -63

Hope this helps!

Answer: No

Explanation: A function is a relation in which each x-coordinate corresponds to exactly one y-coordinate.

In the relation shown here, notice that

the x-coordinate 2 appears twice.

In one case, 2 corresponds to -4 and in

the other case, 2 corresponds to -4.

Since the x-coordinate 2 corresponds to more than one

y-coordinate, no, this relation is not a function.

Answer:

Brainliest goes to me!

Step-by-step explanation:

3

3.268

lets only look at 3.2   .......

3.2 is rounded down to 3

Answer:

3.268 rounds to 3

Step-by-step explanation:

Please mark Brainliest

Answer:

3.93258426966

Step-by-step explanation:

To 1 d.p = 3.9

Answer:

≈3.9 (3.932584269662921...)

OR

3 R 166

OR

[tex]3\frac{83}{350}[/tex]

Step-by-step explanation:

700÷178=3.932584269662921

700÷178=3 R 166

700÷178=

[tex]3 \frac{166}{700} =\\\\3\frac{83}{350}[/tex]

If you wanted it in decimal form, the decimal would be infinite.

If you wanted it with a remainder, it's 3 R 166

If you wanted it in fractions, it's [tex]3 \frac{83}{350}[/tex]

Answer:

C

Step-by-step explanation:

A line that shows all solutions

Answer:

B. x + 0.2x

Step-by-step explanation:

0.2 is equal to 20%

x represents the amount of dollars, and 20% of x would be written as 0.2x.

The 20% of x would be added to the money before the 20%, so, the answer is b, x + 0.2x.

Answer:

x=45/6

Step-by-step explanation:

2+7y=8. 7y=8-2. 7y=6

7=7. y=6\7

insert the value of y in the second equation. 5x-7y=16

5x-7(6/7)=16

5x-49\6=16

collect the liketerms together

5x=16+49/6

5x=145/6(divide both sides by 5)

x=29/6

x=45/6

further.

confirm if the 2 in the second equation has an X coz the questions are normally set with both equations having both values x and y