+11, -11
The reason the answer is not 11 is not because you did the math wrong its because you gave the answer is just 11.
even when you square a negative number you multiply two negatives to make a positive so it would have to be -11 and +11.
This applies to whenever you square a number, the answer can always be two possibilities the positive and the negative.
What the distance between a negative number and a positive number 12 1/2
The distance between the negative number and the positive number is 25
How to determine what the distance between a negative number and a positive number?The number is given as
12 1/2
When represented as a negative number and a positive number, we have the following representations
12 1/2 and -12 1/2
The distance between the negative number and the positive number is
Distance = |Positive - Negative|
So, we have
Distance = |12 1/2 - -12 1/2|
Evaluate the difference
So, we have
Distance = |25|
Remove the absolute bracket
So, we have
Distance = 25
Hence, the distance between the negative number and the positive number is 25
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Carrie ran 76 miles a month for 11 months. During
the twelfth month, she ran 121 miles. How many
total miles did Carrie run?
Answer:
957
Step-by-step explanation:
76x11=836
836+121=957
find a so that the point (-1,4) is on the graph of f(x)=ax^2+3
Write an equation in terms of x that represents the given statement. Solve the problem.
Negative three times the difference of 5 and a number is -48. Find the number.
(Step-step pls)
Factor by completing the square: x^4-x^2+16
It should be noted that the factoring of x⁴ - x² - 16 will be (x + 4)(x - 4).
How to illustrate the information?It should be noted that the expression given is illustrated as:
x⁴ - x² - 16
= x² - 16
= x² - 4²
= (x + 4)(x - 4)
Therefore, the factoring of x⁴ - x² - 16 will be (x + 4)(x - 4).
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Hello Can Someone Please Answer These Math Questions for Me
Find the slope and the y-intercept of the line. −5x-4y=−20 Write your answers in simplest form.
Answer:
y = [tex]\frac{-5}{4}[/tex] x +5
Step-by-step explanation:
-5x - 4y = -20 Add 5x to both sides of the equation
-4y = 5x -20 Divide both sides by -4
y = [tex]\frac{-5}{4}[/tex] x - [tex]\frac{20}{-4}[/tex]
y = [tex]\frac{-5}{4}[/tex] x - -5
y = [tex]\frac{-5}{4}[/tex] x + 5
Aaliyah volunteers at her town's animal shelter. Every day, she puts out 10 ounces of food for each of the 8 dogs. If dog food comes in 25-pound bags, how many days will one bag of dog food last?
Based on the amount of food that the dogs eat per day, a 25- pound bag would last the dogs for 40 days
How to find the number of days?First, find the number of ounces in a 25 pound bag:
= 25 pounds x 16 ounces per pound
= 400 ounces
If 10 ounces of dog food last a day, how many days will the 25-pound bag last:
= Number of ounces of dog food in the bad / Number of ounces of dog food per day
= 400 / 10
= 40 days
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8) The sum of four times a number, -1, six times a number, and 3
The expression for the statement is 4y - 1 = 3y + 4 and the number is 4.
The outcome of adding two or more numbers or phrases is known as the sum in mathematics. The sum is a method of bringing things together as a result.
Let's assume the number to be y.
Then,
4 times the number = 4y
6 times the number = 6y
Now, the sum of four times a number and -1 is equal to 6 times a number and 3.
4 × ( the number) + (-1) = 3 × ( the number) + 3
4 × (y) + (-1) = 3 × (y) + 3
4y - 1 = 3y + 3
Now, add 1 on each side:
4y - 1 + 1 = 3y + 3 + 1
4y = 3y + 4
Subtracting by 3y from each side:
4y - 3y = 3y + 4 - 3y
y = 4
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I need help with this question I dropped a picture down below
< CEH and < HEB are complementary angles and < CEH = 70 degrees
< AEH and < HEB are supplementary angles and < AEH = 160 degrees
How to find < CEH and < AEHGiven data
line AB and line EC are perpendicular
< HEB = 20 degrees
< CEH and < HEB
< CEH and < HEB are complementary angles that is to say adding them together gives 90 degrees.
< CEH + < HEB = 90
< CEH = 90 - 20
< CEH = 70 degrees
< AEH and < HEB
< AEH and < HEB are supplementary angles that is to say adding them together gives 180 degrees.
< AEH + < HEB = 180
< AEH = 180 - 20
< AEH = 160 degrees
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The value of a stock increased 1 3/4 on Monday morning. On Monday afternoon the value of the stock decreased 1 1/3 points. On Tuesday morning the value increased 1 1/8 points what is the overall change in the stocks value
The overall change in the stock's value is [tex]1\frac{13}{24}[/tex].
What is the overall change in the stock's value?A mixed fraction is a non-integer that is made up of a whole number, numerator and a denominator. An example of a mixed fraction is 1 3/4. 1 is the whole number, 3 is the numerator and 4 is the denominator.
An increase in the stock value would be represented with an addition sign whole a decrease in the stock value would be represented with a negative sign. This means that increases in stock value would be added and decreases in stock value would be subtracted.
The overall change in the stock value = increase in stock on Monday morning - decrease in stock value on Monday afternoon + increase in stock value on Tuesday morning
The overall change in the stock value :
[tex]1\frac{3}{4} - 1\frac{1}{3} + 1\frac{1}{8}[/tex]
[tex]1\frac{18 - 8 + 3}{24}[/tex] = [tex]1\frac{13}{24}[/tex]
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The area of Square A is 121 square inches. The length of each side of Square B is 2 inches longer than the length of each side of Square A. How much greater is the area of Square B than the area of Square A? Show your work.
The area of the square B is a 169 and increase in the area w.r.t to the square A is 48.
According to the statement,We have to find that the Area of the square B.
So, For this purpose, we know that the
The Area is defined because the total space concerned by a flat (2-D) surface or shape of an object.
From the given information:
The area of Square A is 121 square inches. The length of every side of Square B is 2 inches longer than the length of every side of Square A.
Then
We know that the realm of the square is a^2
Then
Given area of the square = 121.
Area = [tex]A^2[/tex]
121 = [tex]A^2[/tex]
[tex]A = \sqrt{121}[/tex]
A = 11.
The side of the square a is 11.
And The side of the square B = 11+2
The side of the square B = 13
The Area of the square B = Side * Side
Area of the square B = 13* 13
Area of the square B = 169.
Now, Increase in the area = 169 -121
Increase in the area = 48.
So, The area of the square B is a 169 and increase in the area w.r.t to the square A is 48.
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A retired woman has $30,000 to invest but needs to make $3,000 a year from the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it she wants to put in a CD that pays 7%.
If we let x be the amount the woman invests in the 15% bond, how much in dollars will she be able to invest in the CD?
On the basis that the woman invests in the 15% bond, she be will able to invest $18,750 in the CD
What is the total expected interest from both investments?
The investment is based on the fact the investor is able to make $3,000 in interest from the bond and CD investments
total expected interest=$3,000
interest on bond investment=15%*x=0.15x
amount invested in CD=30000-x
interest on CD=(30000-x)*7%
interest on CD=2100-0.07x
total interest=0.15x+2100-0.07x
total interest=3000
3000=0.15x+2100-0.07x
3000=0.08x+2100
3000-2100=0.08x
900=0.08x
x=900/0.08
x=amount invested in the bond=$11,250
amount invested in CD=$30,000-$11,250
amount invested in CD=$18,750
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A spinner is spun 400 times.
The probabilities it lands on each colour are shown below.
The probability it lands on red is the same as the probability it lands on yellow.
Colour Red Green Brown Yellow
Probability 0.14 0.4
How many times would you expect it to land on each colour?
The likelihood that it will land on red is the same as the likelihood that probability it will land on yellow. In this case, 52.
What exactly is probability?
Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.
The probability of an event is a number between 0 and 1, with 0 generally denoting impossibility and 1 roughly denoting certainty.
based on the available facts;
Given, color likelihood Green Brown Yellow Red
P(R) + P(a) + P(B) + P(Y) = 1
2P(CR) + 0-74=1
P(R) 0.26/2
= 0.13 P(Y)
As it is span 400 times -
No. of times green= 0.2 off 400
=1/5 *(400)
=80
No. of times Brown= 0.54*100
=216
No. of times Red= 0.13× 400
= 52= No. of times yellow
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( 5 ⋅ 2 − 9 ) + 2 ⋅ 1/2
Answer:
2
Step-by-step explanation:
( 5 ⋅ 2 − 9 ) + 2 ⋅ 1/2
= ( 10 - 9 ) + 2 ⋅ 1/2
= 1 + 2 ⋅ 1/2
= 1 + 1
= 2
Three-sevenths of the T-shirts in a T-shirt shop are blue. Seven-eighths of those T-shirts are on sale. One-third of the blue
T-shirts that are on sale are size medium. What fraction of the shop's T-shirts are blue T-shirts that are on sale and are
size medium? Explain.
The fraction of T-shirts that are blue, medium, and on sale is
Out of all the T-shirts in shop, the fraction of T-shirts that are blue, medium, and on sale is x/8.
Let us assume the total number of shirts be x. So, the number of blue shirts in the shop are 3x/7.
Number of blue shirts on sale = 3x/7 × 7/8
Cancelling 7 common in numerator and denominator and performing multiplication
Number of blue shirts on sale = 3x/8
Number of blue shirts on sale medium in size = 3x/8 × 1/3
Cancelling 3 common in numerator and denominator and performing multiplication
Number of blue shirts on sale medium in size = x/8
Hence, the required fraction of T-shirts are x/8.
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Find x: 32 ^ x * 16 ^ (- 2x) = 4 * 2 ^ (- 5x)
WRITING DECIMALS AS FRACTION S
Answer: first one
Step-by-step explanation:
8x^2-25x+3 show work
Answer:
look for the factors for the expression
8x^2-x-24x+3
x(8x-1)-3(8x-1)
(8x-1)(x-3)
1549-1637 not the time period ;-;
Answer: -88
Step-by-step explanation:
See if that's correct :)
Write the improper fraction
31
7
as a mixed number
Answer: 4 3/7
Step-by-step explanation:
try finding the biggest value u can get to and divide it. for ex : 31 divied by 7 = 28 divided by 7 plus remainder 3/7
What is 7/28 simplified
Answer:
[tex]\frac14[/tex]
Step-by-step explanation:
Both the numerator and the denominator have the common factor of 7, therefore, we can divide them both by 7 to further simplify the fraction.
[tex]\frac7{28} \to \frac{\frac77}{\frac{28}7} \to \frac14[/tex]
if x = 3, y = -6 and x -9, evaluate x2 -y3
Answer:
225
Step-by-step explanation:
x² -y³
Evaluate for x=3,y=−6
3²−(−6)³
3²−(−6)³
=225
The boxplot shown below results from the heights (cm) of males listed in a data set. What do the numbers in that
K boxplot tell us?
156
168.1
173.7
The minimum height is
third quartile Q3 is
(Type integers or decimals. Do not round.)
181.4
cm, the first quartile Q, is
cm, and the maximum height is
192
cm, the second quartile Q₂ (or the median) is
cm.
cm, the
From the given box plot, it is found that:
The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.
What does a box-and-whisker plot shows?A box and whisker plot shows five things:
The minimum value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum value.The measures are shown in order, from left to right, hence:
The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.
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I'm really confused on how I'm only getting 4 / 5. Can someone help me?
The total pay for last week that Nelly earned was £180
How to determine the amount
From the information given, we have that;
For Monday - Friday
£8 is paid per hour for the first 15 hours£10 per hour for an extra hoursFor Saturday
Double the normal rate of £8 per hour
The total hour She worked from Monday to Friday is;
= 3. 5 + 5 + 2.5 + 4 + 2
= 17 hours
From Monday to Friday
£8 × 15 = £120
£10 × 2 = £20
For Saturday
£8 × 2 = £16
£8 × 5 = £40
Total amount = £120 + £20 + £40
Total amount = £180
Thus, the total pay for last week that Nelly earned was £180
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Can someone help with this question?✨
The formula for moose population, P, in terms of t, the years since 1990 would be P(t) = -110t + 4730.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
Let's consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.
We have two points on the graph as (4, 4290) and (8, 3850)
Now we can find the slope of this line:
m = (y2 - y1)/(x2 - x1)
Substitution;
m = (3850 - 4290)/(8 - 4)
Solve the subtraction in the parenthesis;
m = -440/4
m = -110
Then we have the slope of the line, we can use the point-slope formula to find the equation for the line.
y - y1 = m(x - x1)
Substitution;
y - 4290 = -110(x - 4)
y - 4290 = -110x + 440
y - 4290 + 4290 = -110x + 440 + 4290
y = -110x + 4730
Since the formula that is being sought is supposed to be in terms of P and t, we will replace y with P and x with t.
P(t) = -110t + 4730
To predict the population in 2006, we have to determine the years from 1990 to 2006.
2006 - 1990 = 16
P(16) = -110 (16) + 4730
P(16) = -1760 + 4730
P(16) = 2970
Hence, The formula for moose population, P, in terms of t, the years since 1990 would be P(t) = -110t + 4730.
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a family paid 23,800 as a down payment for their home this is 14 percent of the cost of their home what is the total cost of their home ?
The total cost of the home is 1,70,000 .
given,
down payment of home=23800
14 percent of the cost of their home
Then from here the rule says that ,
=100 x 23800/14
=1,70,000
therefore, we get a result of the total cost of the home that is ,
1,70,000.
The term percentile and the related term percentile rank are often used in the reporting of scores from norm-referenced tests. For example, if a score is at the 86th percentile, where 86 is the percentile rank, it is equal to the value below which 86% of the observations may be found. In contrast, if it is in the 86th percentile, the score is at or below the value of which 86% of the observations may be found. Every score is in the 100th percentile.
The 25th percentile is also known as the first quartile (Q1), the 50th percentile as the median or second quartile (Q2), and the 75th percentile as the third quartile (Q3). In general, percentiles and quartiles are specific types of quantiles.
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What are the square roots of 6,400?
What is the name of the line of reflection for the pair of figures?
Enter your answer in the box.
line
Line m, because if a mirror is placed on m, only one image will be truly reflected.
What is termed as the line of reflection?A line of reflection is a line that divides a figure into two halves that are similar or identical.A line of reflection, in other words, is a line that divides a figure in to other two mirror images of a figure.In mathematics, a line of reflection is a line along which each point in a shape appears at an equal distance just on opposite side.
As a result of this, we can conclude that
The line 'm' represents the reflection line.
The line 'p' represents the symmetry line.
The line 'n' represents the asymmetry line.
Therefore, line m is the line of reflection for the given figure.
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Compare and order the numbers below
,,.,.⎯⎯,⎯⎯⎯⎯√
The given numbers ordered from least to greatest is {√7 , 2.8..., π, √17, 4.6}
How to order the numbers from least to greatest?First, we need to write all the given numbers in decimal form so we can accurately compare them.
The numbers are:
{4.6, √7, π, 2.8..., √17}
Rewriting all of these in decimal form:
√7 = 2.64
π = 3.14159265....
√17 = 4.12
Then the numbers are:
{4.6, 2.64, 3.14159265...., 2.8..., 4.12}
Now is easier to order these numbers, ordering them from least to greatest we will get:
{2.64, 2.8..., 3.14159265...., 4.12, 4.6}
Now, using the original notation we get:
{√7 , 2.8..., π, √17, 4.6}
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