Pedro predicted that he would sell 128 novels. He actually sold 150 novels. 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 Novels 128 150 a b a = Negative StartFraction 22 over 128 EndFraction; b = negative 17.2 percent a = Negative StartFraction 22 over 150 EndFraction; b = negative 14.7 percent a = StartFraction 22 over 150 EndFraction; b = 14.7 percent a = StartFraction 22 over 128 EndFraction; b = 17.2 percent

Answer:

5/54

Step-by-step explanation:

probability of the dice being 5 = 1/6

probability of the dice being a factor of 6 = 4/6

probability of the dice being more than 1 = 5/6

1/6 * 4/6 = 4/36

4/36 * 5/6 = 20/216

20/216 simplified to lowest is equal to 5/54

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Explanation:

Check out the diagram below for a visual.

The line x = 2 is a vertical line in which every point on this line has x coordinate 2. Two points on this line are (2,0) and (2,1).

The point (-2,4) is 4 units away in the horizontal direction from the line x = 2. Basically we start at (-2,4) and move 4 units to the right to arrive at (2,4). Move 4 more units to arrive at (6,4).

In short: we reflect (-2,4) over the line x = 2 and it lands on (6,4)

We see that choice C must be the answer as no other answer choices have (6,4). So if you are pressed for time, you can stop here.

-------------

Let's keep going for the sake of completeness

We'll follow the same steps for the point (-1,5).

Move 3  units to the right to go from (-1,5) to (2,5). The goal again is to reach the vertical line x = 2

Then move another 3 units to the right to arrive at (5,5)

(-1,5) reflects over x = 2 to land on (5,5).

Answer:

x = 70

Step-by-step explanation:

Angles on a line add up to 180 degrees.

180 - 120

= 60

Angles in a triangle add up to 180 degrees.

180 - 50 - 60

= 70

Answer:

Step-by-step explanation:

An absolute value function has the standard form

where h and k are the coordinates of the vertex (the pointy part of the graph) and the absolute value of a indicates whether or not the graph is the same width as the parent graph or if it is steeper or flatter. If the absolute value of a is greater than 1, the graph is steeper; if the absolute value of a is greater than 0 but less than 1 (in other words a fraction less than 1), the graph is flatter than the parent. If the graph is upside down, there will be a negative out in front of the absolute value of a. Because our graph is in fact upside down, we will choose one of the options that has a negative in front of it. The fact that it has moved UP from the origin, but not side to side, means that the k value is a +1.

If you are familiar with an absolute value parent graph, the lines go through each diagonal of the grid perfectly. It appears that our graph is steeper (or slimmer) than that. That means that not only is our graph upside down, it also has an a value greater than 1. Putting those 2 facts to use along with our k value of +1, makes our obvious choice the first one listed.

Answer:

-20

Step-by-step explanation:

f(x)= 2x^2 + 5x - 17,

f(-1)

Let x = -1

f(-1)= 2 *(-1)^2 + 5(-1) - 17

     = 2 *1   -5 -17

    = 2 -22

   = -20

Answer:

-20

Step-by-step explanation:

f(x)= 2x² + 5x - 17

Put x as -1.

f(-1)= 2(-1)² + 5(-1) - 17

Solve for the powers.

f(-1)= 2(1) + 5(-1) - 17

Multiply the terms.

f(-1)= 2 + -5 - 17

Add or subtract the terms.

f(-1)= -20

Answer:

A, B, C

Step-by-step explanation:

A = -8

B = |-6| = 6

C = |11| = 11

Least to greatest, negatives are the least and between 6 and 11, 11 is the greatest.

Answer:

B,C,A

Step-by-step explanation:

The equation is equivalent to −10r−6 = 115 will be B. -10r = 115 + 6.

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.

The equation is equivalent to −10r−6 = 115

Add 6 on both side;

−10r−6 = 115

−10r−6 + 6 = 115 + 6

-10r = 115 + 6

Hence, the equation is equivalent to −10r−6 = 115 will be B. -10r = 115 + 6.

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Answer:

[tex]9^8[/tex]

Step-by-step explanation:

[tex]9^8=43046721[/tex]

[tex]ln(9^x)=xln(9)[/tex]

so we search [tex]x=ln(43046721)/ln(9)[/tex]

hope this helps

Answer:

9^8=43046721

Step-by-step explanation:

The exponent 9 of a number is found by multiplying that number by itself 9 times.

Answer:

D

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square oh the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² = (9[tex]\sqrt{2}[/tex] )² + (9[tex]\sqrt{2}[/tex] )² = 162 + 162 = 324 ( take the square root of both sides )

h = [tex]\sqrt{324}[/tex] = 18 → D

Answer: 2(n - 12)

n is “the number”

Step-by-step explanation:

Hope that helps :D

Answer:

2(n - 12)

Step-by-step explanation:

Answer:

ΔAMD ≅ ΔCMD by Side Side Side (SSS) congruency rule

Step-by-step explanation:

Given that ΔABC is an isosceles triangle, with [tex]\overline{BA}[/tex] ≅ [tex]\overline{BC}[/tex]

With BM as the median line from B to AC, we have;

∠ABM = ∠CBM

Also we have;

[tex]\overline{BD}[/tex] ≅ [tex]\overline{BD}[/tex]  - Reflexive property

Therefore, ΔABD ≅ ΔCBD Side Angle Side SAS condition of congruency

Therefore;

[tex]\overline{AD}[/tex] ≅ [tex]\overline{CD}[/tex] Corresponding sides of congruent triangles are congruent CPCTC

[tex]\overline{AM}[/tex] ≅ [tex]\overline{CM}[/tex] - AC is bisected by [tex]\overline{BM}[/tex] where  [tex]\overline{BM}[/tex] = Median line

[tex]\overline{DM}[/tex] ≅ [tex]\overline{DM}[/tex]  - Reflexive property

Therefore, we have;

ΔAMD ≅ ΔCMD - Side Side Side (SSS) congruency rule

Answer:

segments shown in the coordinate plane are congruent?

A(-2, 3) B(5, 7) C (3, -3) D (-3,-5) E (-3, 10)

00

00

-10 8 6 4 2

2 4 6 8 10

Answer:

0.84375

Step-by-step explanation:

The requried decimal that is equivalent to the given expression 27/32 is 0.84375

To find the decimal equivalent of a fraction, we divide the numerator by the denominator. In this case, we have 27/32.

When we divide 27 by 32, we get the quotient of 0.84375. This means that the decimal equivalent of 27/32 is approximately 0.84375.

It's important to note that this is an approximation since the decimal representation of a fraction may be a repeating or non-terminating decimal. However, in this case, the division of 27 by 32 results in a terminating decimal.

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Answer: 4 hours and 35 minutes

Step-by-step explanation:

Answer:

[tex]x = \frac{3t}{b} [/tex]

Answer:

60 meters

Step-by-step explanation:

We are looking for the height when x = 0. When x is equal to zero, we get the y-int and height of 60.

Answer:

60

Step-by-step explanation:

y = -8x + 5

y - 9 = -2(x+1)

y - 9 = -2x - 2

y = -2x +7

y + 2 = 6(x+10)

y + 2 = 6x + 60

y = 6x + 58

The linear function has the steepest slope is y = -8x + 5

A)y = -8x + 5

B) y – 9 = -2(x+1)

⇒y – 9 = -2x - 2

⇒y = -2x +7

C) y=7x-3

D) y + 2 = 6(x+10)

⇒y + 2 = 6x + 60

⇒y = 6x + 58

Steepest slope is determined by the greatest value of gradient(m).

Therefore, The linear function has the steepest slope is y = -8x + 5

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Answer:

1 7/8

Step-by-step explanation:

The answer is 1 7/8.

Answer:

500 mg

Step-by-step explanation:

amount of dextrose in  35 ounce Pedialyte = 2500 mg

dividing LHS and RHS by 35

amount of dextrose in  35/35 ounce Pedialyte = 2500 /35 mg = 500/7 mg

Thus,

amount of dextrose in  1 ounce Pedialyte = 500 /7 mg

since we have to find amount of dextrose in  7 ounce Pedialyte

we multiply LHS and RHS by 7

Thus,

amount of dextrose in  1 *7 ounce Pedialyte = 500 /7 * 7 mg = 500 mg

amount of dextrose in  7 ounce Pedialyte = 500 mg

Thus, As child consumed 7 ounces of Pedialyte, He consumed 500 mg of dextrose.

Answer:

4/11

Step-by-step explanation:

There are 4 midfielders on the team out of 11.

Answer:

4/11 midfielders!

Step-by-step explanation:

There are 11 total players and four of them are said to be midfielders. Out that into a fraction and you get 4/11 middies

Answer:

y = -5x

Step-by-step explanation:

Answer:

x-int: (-5, 0), (7, 0)

vertex: (1, -36)

Step-by-step explanation:

Simply graph the equation and find what is asked (Fastest and easiest way).

Answer: Organizes Data

Step-by-step explanation:

A table can help you organize information, and it can show patterns you can make tables with time, line plots, graphs

Answer:

7

Step-by-step explanation:

2l + 2w = 16

2 (l + w) = 16

l + w = 8

l = 8 - w

l = 7

Answer:

Step-by-step explanation:

The addition of angles ABD and DBC make up the larger angle ABC. We know that angle ABD = 65 and DBC = 60, therefore

angle ABC = 65 + 60 and

angle ABC = 125 degrees

Answer:

1/6

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

    = (6-3)/(12 - -6)

    = (6-3)/(12+6)

     = 3/18

     =1/6

Answer:

24

Step-by-step explanation:

3 x 8

Answer:

Step-by-step explanation:

Locate the 1 on the x axis. This is one hour worked. Go up vertically along x = 1 and you "land" on the red line very quickly. If you go straight across to the left, you are at 14 on the y-axis. The y-axis indicates the amount of money Leo earns tutoring. If he works one hour and earns $14 and this is a straight line (linear function with a constant slope), that means that for every hour he works he will earn $14. Locate the 2 on the x-axis and go up x = 2 til you hit the red line. Read it to the left and you "land" on the y-axis at $28. $28 divided by 2 hours of work is $14 per hour of tutoring. The first choice is the one you want.

Answer:

26 mph

Step-by-step explanation:

First find the time Adrian takes to get to school

I found it easiesT to use the method of ratio and proportion

40:60

16:x

x= 16 x 60 / 40 = 24 minutes

So, he has 60-24 minutes to return home, that is 36

What is his speed if his time is 36 minutes= 0.6 hours

Speed = Distance divided by time = 16/0.6 = 26.6 miles per hour.

Hope this helps

Good Luck

Answer:

The least value of n is 17.

Step-by-step explanation:

First term (a) = 46

Second term (a + d) = 43

Third term (a + 2d) = 40

Common difference (d) = second term - first term = 43 - 46 = -3

Tn (nth term) = a + (n - 1)d

a = 46, d = -3

Tn = 46 + (n - 1)-3 = 46 + (-3n + 3) = 46 - 3n + 3 = 49 - 3n

For Tn to be negative, the product of 3 and n must be greater than 49.

Therefore, the least value of n is 17

Answer:

17

Step-by-step explanation:

AP 46, 43, 40

a₁= 46, a₂= 43, a₃=40

d= a₃-a₂= a₂-a₁= -3

aₙ= 46+(n-1)*(-3)= 46-3n+3= 49- 3n

nth term is negative, so:

So the least n=17