Answer:
110 decreased by 30% is 77.
Step-by-step explanation:
To do this, what we do is simply take 30% of 110 and subtract it from 110.
30% of 110. A trick to easily figure this out is multipling 110 by 30 and dividing by 100.
110*30 = 3300
3300 / 100 = 33
110 - 33 = 77
110 decreased by 30% is 77.
What is the volume, in cubic inches, of a rectangular prism with a height of 19 inches,
a width of 8 inches, and a length of 17 inches?
Answer: 2584
Step-by-step explanation: Length × height × width
Which is the general form of the equation of the circle shown? x2 y2 4x – 2y – 4 = 0 x2 y2 4x – 2y 2 = 0 x2 y² – 4x 2y – 4 = 0 x2 y² – 4x 2y 2 = 0
The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
How to determine the circle equation?The center of the circle is given as:
Center, (a,b) = (-4,9)
The diameter is given as:
d = 10
Calculate the radius (r)
r = 10/2 = 5
The circle equation is then calculated using:
(x - a)² + (y - b)² = r²
So, we have:
(x + 4)² + (y - 9)² = 5²
Expand
x² + 8x + 16 + y² - 18y + 81 = 25
Collect like terms
x² + y² + 8x - 18y + 16 + 81 - 25 = 0
Evaluate
x² + y² + 8x - 18y + 72 = 0
Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
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area of a regular polygon with a radius of 4
A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothe
Fatima is solving the equation 3x² - 6x +2=0 with the quadratic formula.
Which values could she use for a, b, and c?
O a = 3, b = -6, c = 2
O a = 3, b = -6, c = -2
O a = -3, b = 6, c = -2
O a = 3, b = 6, c = 2
Answer:
[tex]a=3,~ b = -6,~ c=2[/tex]
Step-by-step explanation:
[tex]\text{Compare}~ 3x^2 -6x +2 =0 ~\text{with the standard form of quadratic equation,}\\\\ax^2 +bx +c =0[/tex]
simplify each expression 3(m-5)+m
3 consecutive integers have a sum of 120. What is the least of these integers
Answer:
39
Step-by-step explanation:
39 + 40 + 41 = 120
39 is the least of these integers
This table represents a quadratic function with a vertex at (1,2). What is the
average rate of change for the interval from x = 5 to x = 6?
х
у
1
2
2
3
3
6
4
4
11
תס
5
18
O A. 27
OB. 9
O C. 18
O D. 3
Answer:
9 -- B
Step-by-step explanation:
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The average rate of change for the interval from x = 5 to x = 6 is - 22.
What is quadratic function?A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.
Since, the quadratic function has a vertex at (1, 2),
Hence, the equation for the function can be written in vertex form as:
⇒ y = a(x - 1)² + 2
Where "a" is a constant that determines the shape of the parabola. To find the value of "a", we can use one of the other points on the parabola.
Let's use the point (2, 1):
1 = a(2 - 1)² + 3
1 = a + 3
a = - 2
So, the equation for the quadratic function is:
y = -2x² + 2
Now we can use this equation to find the average rate of change between x = 5 and x = 6. The value of the function at x = 5 is:
y = - 2 x 25 + 2 = - 48
The value of the function at x = 6 is:
y = -2 x 36 + 2 = - 70
The average rate of change between x = 5 and x = 6 is:
(y₂ - y₁) / (x₂ - x₁) = (- 70 - (-48)) / (6 - 1) = - 22
Therefore, the average rate of change for the interval from x = 5 to x = 6 is - 22
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i cannot do this question and i am stuck
Answer:
-57
Step-by-step explanation:
[tex]log \frac{ {c}^{7} }{ {a}^{6} {b}^{2} } \\ \\ = log {c}^{7} - log( {a}^{6} {b}^{2} ) \\ \\ = log {c}^{7} - (log {a}^{6} + log{b}^{2} )\\ \\ = 7 \: log {c} - (6 \: log {a}+ 2 \: log{b})\\ \\ = 7 \:( - 9) - [6 \: ( - 5)+ 2 \: (12)] \\ \\ = - 63 - [ - 30 + 24] \\ \\ = - 63 - [- 6] \\ \\ = - 63 + 6 \\ \\ = - 57[/tex]
PLEASE HELP!!!!I’LL GIVE BRAINLIEST!
find the supplementary angle to an angle
that is 128.9º. explain your answer
Will give brainlist
Identify the multiplication problem that matches the model.
4 x 3/4
4 x 1/3
4 x 3
3 x 3/4
4 x 3/4 Sure hope this helps you
I will give Brainlyist to the first person who replies and gets most of the answers correct.
1. Which of the following shows the value of (4.3 x 10-7)(1.5 x 10-3) in scientific notation? a. 6.45 x 10-10 b. 64.5 x 10-9 C. 0.645 x 10-11 d. 645 x 10-8
The product of the expression in scientific notation is expressed as 6.45 * 10^-9
Scientific notationsThe standard scientific notation is expressed as:
A * 10^n
A is any value between 1 and 10
n is any integer
Given the product
(4.3 x 10-7)(1.5 x 10-3)
= (4.3 * 1.5)(10^-7 * 10^-3)
= 64.5 * 10^-10
= 6.45 * 10^-9
Hence the product of the expression in scientific notation is expressed as 6.45 * 10^-9
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make x the subject from m=n+x/p
Answer:
x = p(m - n)
Step-by-step explanation:
Solve m=n+x/p for x. Start by eliminating the fraction: Multiply all three terms by p. Then we have mp = np + x, which is the same as x = mp - np, or
x = p(m - n)
2x2-11x/2-1+y/z
if x = 3, y = 7, and z = 2?
Answer:
4
Step-by-step explanation:
subsitute the value of the variable into the expression and simplify.
What is the value of the expression below?
( - 4/9 ) x (4 1/3 )
Answer:
[tex]-\frac{52}{27}[/tex]
Step-by-step explanation:
Let's first convert everything to improper fractions as it becomes easier to compute with.
[tex]4 \frac{1}{3} = \frac{4*3+1}{3} =\frac{13}{3}[/tex]
Now we can put that back into the expression:
[tex]-\frac{4}{9} * \frac{13}{3}[/tex]
Nothing cancels out so the answer we get is:
[tex]-\frac{52}{27}[/tex]
A box shaped like a rectangular prism has a height of 9 inches, a width of 5 inches, and a volume of 315 cubic inches. What is the length?
Answer:
7 in
Step-by-step explanation:
L * W * H = volume
L * 5 * 9 = 315
L = 315 / (5*9) = 7 in
how mant cubic centimeters of air would be needed to completely fill a soccer ball with a radius of 15cm?
Answer:
14137.17 cubic cm
Step-by-step explanation:
I can see that the radius here is 15cm, and when it says air, I am going to guess we are looking for the volume. We do the equation in order to get the volume, and get the answer 14137.17cm.
IMPORTANT : When it says air- you have to realize it's VOLUME.
radius= 15 cm
to find:the amount of cubic centimeters of air needed to fill the soccer ball.
solution:[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{3}{4} \times \pi \times {(15)}^{2} [/tex]
[tex]v = 14137.17 {cm}^{3} [/tex]
therefore, the soccer ball can hold 14137.17 cubic centimeters of air.
A force of 61 N is applied to an area of 750 cm2.
Calculate the pressure in N/m2.
Give your answer to the nearest integer.
Answer:
813.33 N/m²
Step-by-step explanation:
Before finding the answer to this, let us convert 750cm² to m².
1 m ⇒ 100cm
1 m × 1 m ⇒ 100 cm × 100 cm
--------------
1 m² ⇒ 10000 cm²
x ⇒ 750 cm²
Let us use cross multiplication to find the value of x.
10000x = 750 × 1
10000x = 750
x = 750/10000
x = 0.075
∴ 750 cm² = 0.075 m²
And now let us find the pressure.
Pressure = Force ÷ Area
Pressure = 61 N ÷ 0.075 m²
Pressure = 813.33 N/ m²
Which equation of a line is parallel to y=4/5x-1?
a. y=4/5x+2
b. y= -5/4x-1
c. y= -4/5x+3
d. y=5/4x-6
Answer:
a
Step-by-step explanation:
you need to have same kx for lines to be parallel.
y=kx+l
l is where the line is going through ordinate and it doesn't matter, but the kx has to be the same
A series contains 18 numbers and has a sum of 4,185. the last number of the series is 275. what is the first number? 42.5 190.0 465.0 740.0
The first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190
Sequence and seriesSeries are sum of sequences
The formula for calculating the last term of a sequence is expressed as:
Sn = n/2(a+l)
Given the following
Sn = 4185
n = 18
l = 275
Required
first term "a"
Substitute
4185 = 18/2(a + 275)
4185 = 9(a + 275)
465 = a+ 275
a = 465 - 275
a = 190
Hence the first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190
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Which type of data would be best displayed in a histogram?
The radius of a semicircle is 1 meter. What is the semicircle's perimeter?
Answer:
5.1416
Step-by-step explanation:
L = πr + d = 1 * π + 2 [meter] ≈ 5.1416 [meter]
Mr.Portillo says that he can solve 32 divided by 8 by thinking about 8 x ? =32. Why is this true?
Answer:
this is true because he knows that 8 times 4 is 32 then he will automatically know that 8 divided by 32 will be 4 since 8 was a factor.
Step-by-step explanation:
I suck at explaining stuff but yeah this is true bc two factors of a number divided by it will always be the other factor yk
The number of stamps in a stamp collection can be modeled by the function y = 2x² + 13x + 45, where is the number of years since the collection was started and y is the number of stamps. After how many years did the stamp collection have 195 stamps?
Answer:
X=8 years, option F
Step-by-step explanation:
Answer
6 years
Step-by-step explanation:
The answer is 6 years
Please help this is due in 10 minutes!!!
Answer:
3053.63 un³
Step-by-step explanation:
Hello!
The diameter is 18, so the radius is half of the diameter, or 9.
Using the volume of a sphere formula: [tex]\frac43\pi r^3[/tex]
Solve:
[tex]\frac43\pi r^3[/tex][tex]\frac43\pi *9^3[/tex][tex]\frac43*729\pi[/tex][tex]972\pi[/tex]3,053.6280592893 ≈ 3,053.63The volume is 3053.63 un³.
Find (f•g) (x) if f(x)=3x^2 and g(x)=5-x
Answer:
f(g(x))=3x^2-30x+75
Step-by-step explanation:
We want to find the value of f(x) when x is equal to g(x)
So we can substitute the value of g(x) into the f(x) equation
f(g(x))= 3(5-x)^2
f(g(x))= 3(25-10x+x^2)
f(g(x))=3x^2-30x+75
Completely simplified version: 3(x-5)^2
A hot air balloom travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour?
Answer:
4.5
Step-by-step explanation:
Find the amount of miles in 1 hour. 18/3=6
Now multiply 1.5x3=4.5
3/4=75
This is how i got 4.5 miles
According to the rational root theorem, which is a factor of the polynomial f(x) = 3x3 – 5x2 – 12x 20? 2x 1 2x – 1 3x 5 3x – 5
The factor of the polynomial 3x³ – 5x² – 12x + 20 is (x – 2), (x + 2), and (3x – 5). Then the correct option is D.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The polynomial is given below.
f(x) = 3x³ – 5x² – 12x + 20
Then the factor of the polynomial will be
f(x) = (x – 2)(x + 2)(3x – 5)
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer: D.) 3x-5
Step-by-step explanation:
I would know because I got it right on my unit test.
What is the inverse of f(x)=1/3x+2?
Answer:
[tex]f^{-1}[/tex] (x) = 3(x - 2)
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = [tex]\frac{1}{3}[/tex] x + 2 ( subtract 2 from both sides )
y - 2 = [tex]\frac{1}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )
3(y - 2) = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 3(x - 2)
Answer:
3(x-2)
Step-by-step explanation:
interchange value of x and y
I need help with this problem if anyone wants to help me please do
Answer:
11
Step-by-step explanation:
hope this helps loves x