Answer:
5x^2 + 11x - 13 = A - B
Step-by-step explanation:
A - B = ? Substitute 3x^2 + 5x - 6 for A and - (-2x^2 - 6x + 7) for -B:
3x^2 + 5x - 6 - (-2x^2 - 6x + 7). or
3x^2 + 5x - 6 + 2x^2 + 6x - 7, or (after combining like terms):
5x^2 + 11x - 13 = A - B
What is the distance between -4 and -14?
Answer:
the distance between -4 and -14 is 10
Step-by-step explanation:
they both as negative numbers
Distance = 10
Step-by-step explanation:⇒ Distance = Larger integer - Smaller integer
In this case, the larger integer is -4 and the smaller integer is -14. Keep in mind that if two integers are negative, the integer that is closest to 0 is greater than the other integer.
⇒ Distance = (-4) - (-14)
Simplify the expression on the R.H.S:
⇒ Distance = -4 + 14 [-1 x -1 = 1]
⇒ Distance = 10
true or false if two half planes never intersect, then their system of inqeualities has no solution
Answer:
True
Step-by-step explanation:
If two of the half planes never intersect, there is no way for the lines to reach each other hence giving no soultion
Answer:
its false
Step-by-step explanation:
constant term of this
А
. Which phrase represents the
expression 8x + 5?
eight times five plus a number
B five times a number plus eight
Cfive less than a number
multiplied by eight
D a number multiplied by eight
then added to five
Answer:
D i think a number represents x. not sure
Answer:
8x+5
Assume x is the unknown number.
8x+5 means
8*x = a number multiplied by eight
8x+5 = a number multiplied by eight eight then added to five.
Therefore, the correct option is D.
Write the equation of the line that passes through (9, 5) and (7, 6) in slope-intercept form.
Answer:
y = -1/2x + 19/2
Step-by-step explanation:
Hi there!
We are given the points (9,5) and (7,6)
We want to write an equation of the line that contains these two points, in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
First, let's find the slope of the line
The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid any confusion.
[tex]x_1=9\\y_1=5\\x_2=7\\y_2=6[/tex]
Now substitute these values into the formula to find the slope
m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{6-5}{7-9}[/tex]
Subtract
m=[tex]\frac{1}{-2}[/tex]
m=-1/2
The slope of the line is -1/2
We can substitute this as m into the formula for slope-intercept form:
y = -1/2x + b
Now we need to find b
As the equation passes through (9, 5) and (7, 6), we can use either one to solve for b
Taking (7, 6) for example:
Substitute 7 as x and 6 as y into the equation
6 = -1/2(7) + b
Multiply
6 = -7/2 + b
Add 7/2 to both sides
19/2 = b
substitute 19/2 as b:
y = -1/2x + 19/2
Hope this helps!
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what is the percent change from 18 to 26
Answer:
44.44%
Step-by-step explanation:
The base of a merry-go-round spans an area of about 153.88 square meters What is the radius of
the merry-go-round?
Nysean says the radius of the merry-go-round is 14 meters. Do you agree or disagree? Explain.
Answer:
Disagree
radius = 7 m
diameter = 14 m
Step-by-step explanation:
Formula
[tex]\sf Area\:of\:a\:circle=\pi r^2[/tex]
Given:
area = 153.88 m²Substitute given value into the formula and solve for r:
[tex]\sf \implies \pi r^2=153.88[/tex]
[tex]\sf \implies r^2=\dfrac{153.88}{\pi}[/tex]
[tex]\sf \implies r=\sqrt{\dfrac{153.88}{\pi}}[/tex]
[tex]\sf \implies r=6.998680253[/tex]
Therefore r ≈ 7 m
So I disagree with Nysean, as from my calculations, the approximate radius of the merry-go-round is 7 m.
Diameter = 2r
⇒ diameter of merry-go-round = 2 x 7 = 14m
So Nysean has actually given the approximate measure of the diameter rather than the radius.
Find the slope of the line through the points (4, -1) and (-2, -1).
The slope is
Answer:
0
Step-by-step explanation:
use a slope calculator
Choose one answer: A: 13+t=17
B:13t=17
Find the value of t that makes the equation true
Answer:
a: 13 + t = 17
Step-by-step explanation:
the top is equal to the bottom
the top is 13 and t together but you are not multiplying
thus the answer is 13 + t = 17
Answer:
A, 13+t=17
Step-by-step explanation:
Since you are trying to find the missing part of the diagram and both rows add up to 17, the answer would be A. This is the case because you aren't multiplying 13 over and over to get 17, rather instead you are adding a number to get 17.
mr.spencer has 7 1/5 liters of juice he wants to pour equal amounts of juice into 3 punch bowls how many liters of juice should he pour in each bowl?
Answer:
2.4
Step-by-step explanation:
1/5=0.2
7.2/3=2.4
A consumer charges a $2,530.16 purchase on a credit card. the card has a daily interest rate of 0.042%. if the balance is paid off at the end of 30 days, how much interest will the consumer pay? a. $0.32 b. $3.19 c. $31.88 d. $318.78
The total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
In the given problem,
A consumer charges a P, $2,530.16 purchase on a credit card. The card has a daily interest rate r of 0.042%. The balance is paid off at the end of 30 days. Thus the time t is 30.Put these values in the above formula as,
[tex]A=2530.16\times\left(1+\dfrac{0.042}{100}\right)^{30}\\\\A=2562.24[/tex]
The interest amount paid is,
[tex]I=A-P\\I=2562.24-2530.16\\I=32.08[/tex]
Thus, the total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.
Learn more about the compound interest here;
https://brainly.com/question/24274034
Answer:
The correct answer is C
Step-by-step explanation:
The area of a triangle is 115 in2. If the height of the triangle is 7.5 inches, what is the length of its base? Round to the nearest hundredth, if necessary.
Answer:
30.67 inches
Step-by-step explanation:
Area of a triangle: 1/2 x b x h
115 = 1/2 x b x 7.5
115 = 3.75b
115/3.75 = b
30.66666 = b
30.67 = b
If 30% of a number equals to 25 what is 60% of that number
Answer:
50
Step-by-step explanation:
25*2
60% is double 30% so 60% of the number would be 50
A password is 4 characters long, consisting of 2 letters and 2 numbers. the password must begin and end with a letter. if numbers can be repeated but letters cannot, how many possibilities are there? a. 65,000 b. 60,840 c. 58,500 d. 52,650 please select the best answer from the choices provided. a b c d
The question is an illustration of arrangements, and the number of possibilities of the password is 65000
How to determine the number of possibilities?The length of the password is:
Length = 4
If the password begins and ends with a letter and cannot be repeated, then the possibilities are:
First = 26
Last = 25
If the password contains numbers that can be repeated, then the possibilities are:
Number 1 = 10
Number 2 = 10
So, the number of possibilities is:
Possibilities = 26 * 10 * 10 * 25
Evaluate the product
Possibilities = 65000
Hence, there are 65000 possibilities of a 4 character password
Read more about arrangements at:
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What’s the surface area of this tent? length:10.5.
Width:8
height:7
Answer:
427
Step-by-step explanation:
i could be wrong i used surface area calculator
Pls help !!!
No links pls and ty<3
Answer:
that would be 700ft^2
Step-by-step explanation:
The rectangle on top has area of 23 × 14 = 322ft^2
the rectangle on bottom has area of 23 × 12 = 276ft^2
Two triangles make 1 rectangle with area 17 × 12 = 102ft^2
Add them all up 700ft^2
Answer:
that would be 700ft^2
Step-by-step explanation:
The rectangle on top has area of 23 × 14 = 322ft^2
the rectangle on bottom has area of 23 × 12 = 276ft^2
Two triangles make 1 rectangle with area 17 × 12 = 102ft^2
Add them all up 700ft^2
Which of the following does not have a value that is greater than 0?
|-11|
-11
|11|
11
Answer:
-11
Step-by-step explanation:
The | | around a number means the absolute value of that number. The absolute value is the positive value of the number given.
Solve by factoring
3v^2-10v+3=
[tex]3v^2-10v+3=0\\\\\implies 3v^2 - 9v-v +3=0\\ \\\implies 3v(v-3)-(v-3)=0\\\\\implies (v-3)(3v-1)=0\\\\\implies v = 3,~~v=\dfrac 13[/tex]
A softball player has had 8 base hits out of 25 at bats for a current batting average of 8/25 = .320. How many consecutive base hits does she need if she wants to raise her batting average to .400? Explain or show your reasoning.
Using proportions, it is found that she needs 4 consecutive hits to raise her batting average to .400.
What is a proportion?A proportion is a fraction of a total amount.
Hence, the batting average is given by the number of hits divided by the number of at-bats.
If she gets x consecutive hits, she will have 8 + x hits in 25 + x at-bats, for an average of 0.400, hence:
[tex]0.4 = \frac{8 + x}{25 + x}[/tex]
8 + x = 10 + 0.4x
0.6x = 2
x = 3.33
Rounding up, she needs 4 consecutive hits to raise her batting average to .400.
More can be learned about proportions at https://brainly.com/question/24372153
if the area of a circle is 154 cm square then find the diameter and circumference
Answer:
Diameter = 14 cm
Circumference = 44 cm
Step-by-step explanation:
Area of circle = πr²Diameter = 2rCircumference = 2πr = πdπ ≈ 3.142[tex]\pi {r}^{2} = 154 \\ {r}^{2} = \frac{154}{\pi} \\ r = \sqrt{ \frac{154}{\pi} } \: cm[/tex]
[tex]Diameter = 2r \\ = 2 \sqrt{ \frac{154}{3.142} } \\ ≈ 14 \: cm[/tex]
[tex]Circumference = πd \\ = 14\pi \\ = 14 \times 3.142 \\ = 43.988 \\ ≈ 44 \: cm[/tex]
Let's say you want to know how many pages your 10 favorite books have. After checking
your bookshelf, you could simply write down the numbers in a list. But when data is written
as a list of numbers, it can be difficult to make sense of the information. Which book is the
longest, and which is the shortest? Which book is right in the middle?
Showing data visually can help you understand the information you collected. You could
make a bar graph, which would make it easy to see the smallest and largest values of the
data set. But a box plot, often called a box and whisker plot, gives you even more
information than a bar graph. With a box and whisker plot, you can clearly see the smallest
value, the largest value and the median, or the middle value of all the data. You can also see
the interquartile range, or the middle 50 percent of the data.
RDS
ME
According to the passage, why might one choose to use a box and whisker plot instead
of a bar graph?
A
A box and whisker plot shows less information than a bar graph.
B
A box and whisker plot shows more information than a bar graph.
с
Box and whisker plots show data visually, but bar graphs do not.
D
Box and whisker plots have nothing in common with bar graphs.
Considering that we want to find a measure of center of the number of pages in the books, the correct option is:
B A box and whisker plot shows more information than a bar graph.
When to use a bar graph and a box and whisker plot?It we are interest in the extremes of the distribution, that is, the smallest and largest amounts, we use a bar graph.If we are interested in the central measures of the distribution, we use a box and whisker plot, as it contains more information.In this problem, we want to find the average number of pages in the books, which is a measure of center, hence option B is correct.
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Find the common ratio of the sequence.
1,-1, 1,-1...
Which equation is true for x = –6 and x = 2? 2x2 – 16x 12 = 0 2x2 8x – 24 = 0 3x2 – 4x – 12 = 0 3x2 12x 36 = 0
The equation that is true for x = -6 and x= 2 is given by: Option B: 2x^2 +8x -24 = 0
What are those values of the variables called for which an equation is true?Suppose there is an equation given, involving some variables.
Then, those values of the involved variable, for which the equation is true, are called solution of the equation.
For single variable equations, specially for polynomials, these solutions are called the roots of the equation.
How to find the roots of a quadratic equation?Suppose that the given quadratic equation is
[tex]ax^2 + bx + c = 0[/tex]
Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
For this case, the options are all quadratic equations, so we can check all the options to find the roots to see if they match to x = -6 and = 2
Option 1: [tex]2x^2 -16x + 12 = 0[/tex]Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} = \dfrac{-(-16) \pm \sqrt{(-16)^2 - 4(2)(12)}}{2(2)}\\\\x = \dfrac{16 \pm \sqrt{196 - 96}}{4} = \dfrac{16 \pm 10}{4}\\\\x = 26/4, x = 6/4[/tex]
Thus, this equation isn't true for both x = -6 and x= 2
Option 2: [tex]2x^2 +8x -24 = 0[/tex]Then its roots are given as:
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} = \dfrac{-8 \pm \sqrt{(8)^2 - 4(2)(-24)}}{2(2)}\\\\x = \dfrac{-8 \pm \sqrt{64 +192}}{4} = \dfrac{-8 \pm 16}{4}\\\\x = -6, x = 2[/tex]
Thus, this equation is true for both x = -6 and x= 2
Since the question says "Which equation is true", so that means only one option is true.
Thus, the equation that is true for x = -6 and x= 2 is given by: Option B: [tex]2x^2 +8x -24 = 0[/tex]
Learn more about finding the solutions of a quadratic equation here:
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Answer:
b
Step-by-step explanation:
edge
(please help me)
Amelie spins the following spinner, which has 10 equally sized spaces numbered 1 through 10. The numbers 1 and 7 are colored blue; the numbers 2, 4, and 6 are red; and the numbers 3, 5, 8, 9, and 10 are green.
A spinner as described in the text.
What is the probability that Amelie spins either an odd number or a red number?
Enter your answer as a reduced fraction, like this: 3/14
The probability Amelie spins either an odd number or a red number is:
P = 4/5
How to find the probability?
We want to find the probability of spinning a red or odd number, this is equal to the quotient between the number of odd numbers + the number of red numbers and the total number of numbers in the spinner.
We know that there are 10 numbers in the spinner.2, 4, and 6 are red, so we have 3 red numbers.1, 3, 5, 7, and 9, are odd, so we have 5 odd numbers.Then there are 5 + 3 = 8 numbers that are either red or odd, and a total of 10 numbers, this means that the probability of spinning an odd number or a red number is:
P = 8/10 = 4/5
If you want to learn more about probability, you can read:
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Monica made this object from snap cubes. Monica made 9 more objects just like this one. she laid them one next to the other to form a square. Monica said she could use the square to write a percent and a decimal for 6/10 and for 4/10. is she correct?
The fraction 6/10 and 4/10 can be represented by using the objects laid together to form a square.
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
The fraction 6/10 and 4/10 can be represented by using the objects laid together to form a square.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
for 30 POINTS
pls help me rn
this is very urgent
thx in advance
A credit card company is collecting data for their end of the year review. The chart below shows the interest change for the year that they will use to market to new customers.
What is the mean interest change for the year? Group of answer choices
A. 20%
B. 5%
C. 2%
D. 4%
the answer of the year is 20%
Solve for the unknown value.
x = _____ degrees
Answer:
x= 89°
Step-by-step explanation:
Let's use the rule of corresponding angles.
x+ 32°= 121° (corr. ∠s)
x= 121° -32°
x= 89°
help A S A P IM STUCK
Answer:
this is the unit area of: 24
Step-by-step explanation: hope this helps
Please hurry!!! Thank you to whoever answers this!! Love yaaa
Answer: The dimensions of the builder's scale drawing is 40 x 32 inches.
Step-by-step explanation:
The scale factor of Karl = 1:12
Dimensions = 10 x 8 inches
Area = 80 square inches
1:12 = 1/12
1/12 = 80/a
a = 80 x 12
a = 960 square inches
So dimensions are 120 x 96 inches
Builders scale factor = 1:3
Actual Length = 120inches
Actual width = 96 inches
Builders drawing length = 120/3
= 40 inches
Builders drawing width = 96/3
= 32 inches