Answer:
SolutioN :
[tex] \bf \: \star ( - 3x^{2} + 4x) + (2 {x}^{2} - x - 11)[/tex]
[tex] \longrightarrow \bf \: - 3 {x}^{2} + 4x + 2 {x}^{2} - x - 11[/tex]
[tex] \longrightarrow \bf \: - 3 {x}^{2} + 2 {x}^{2} + 4x - x - 11[/tex]
[tex] \longrightarrow \boxed{\bf \: - {x}^{2} + 3x - 11}[/tex]
-------------HappY Learning <3 ----------
Given expression:
[tex](-3x^2+4x)+(2x^2-x-11)[/tex]
To simplify the expression, it is needed to open the parentheses.
[tex]\implies (-3x^2+4x)+(2x^2-x-11)[/tex]
[tex]\implies -3x^2+4x+2x^2-x-11[/tex]
To further simplify the expression, let us combine like terms.
[tex]\implies -3x^2+4x+2x^2-x-11[/tex]
[tex]\implies x^{2} (-3 + 2)+x(4-1)-11[/tex]
Now, simplify the expression as needed.
[tex]\implies x^{2} (-3 + 2)+x(4-1)-11[/tex]
[tex]\implies x^{2} (-1)+x(3)-11[/tex]
Finally, open the parentheses to get the simplified form
[tex]\implies x^{2} (-1)+x(3)-11[/tex]
[tex]\implies \boxed{\bold{-x^{2} +3x-11}}[/tex]
[tex]\text{Therefore, the simplified expression is} \ \boxed{-x^{2} +3x-11}[/tex]
Divide. 12.92/105 please
Answer:
0.2584
Step-by-step explanation:
First off 10 to the 5th power is 10 x 5 = 50, so 12.92 / 50 is 0.2584.
Two runners are saving money to attend a marathon. the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. the second runner has $50 in savings and will save $60 each month. which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money? 112 – 25m 45 = 50 – 60m 112 25 45m = 50m 60 112 25 – 45m = –50m 60 112 25m 45 = 50 60m
The equation that we need to solve is:
$157 + $50*m = $50 + $60*m
And the solution is m = 10.7 months.
Which equation models the situation?For the first runer we have a initial amount of $112 + $45 = $157 plus $50 per month, so we can write:
f(m) = $157 + $50*m
And the second runner has an initial amount of $50 and saves $60 per month, so we can write the linear equation:
g(x) = $50 + $60*m
They will have the same amount of money when:
f(x) = g(x)
$157 + $50*m = $50 + $60*m
$107 = $10*m
$107/$10 = m = 10.7
So, after 10.7 months, both accounts will have the same money.
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On a test that has a normal distribution, a score of 29 falls two standard deviations
below the mean, and a score of 49 falls three standard deviations above the mean.
Determine the mean of this test.
The normal distribution is also known as the Gaussian distribution. The mean of this test is 37.
What is Normal Distribution?The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
On a test that has a normal distribution, a score of 29 falls two standard deviations below the mean, and a score of 49 falls three standard deviations above the mean. Therefore, we can write,
μ - 2σ = 29
μ + 3σ = 49
By subtracting the first equation from the second, then we will get,
μ + 3σ - μ + 2σ = 49-29
5σ = 20
σ = 4
Now, substitute the value of σ in the equation,
μ - 2σ = 29
μ - 2(4) = 29
μ = 29 + 8
μ = 37
Hence, the mean of this test is 37.
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Please Help! I got 81.9% and used x = (mean - average) / standard deviation and then subtracted.
The daily amounts of time Internet users spend on social networking platforms are normally distributed with a mean of 142 minutes and a standard deviation of 32 minutes.
a. About what percent of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day? Round your answer to the nearest tenth of a percent.
Using the normal distribution, it is found that about 81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 142, \sigma = 32[/tex].
Th proportion of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day is the p-value of Z when X = 174 subtracted by the p-value of Z when X = 78, hence:
X = 174:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{174 - 142}{32}[/tex]
Z = 1
Z = 1 has a p-value of 0.841.
X = 78:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{78 - 142}{32}[/tex]
Z = -2
Z = -2 has a p-value of 0.023.
0.841 - 0.023 = 0.818 = 81.8%.
81.8% of Internet users spend between 78 minutes and 174 minutes on social networking platforms each day.
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The right rectangular prisms are similar. which statements are correct? check all that apply. the angles in the smaller prism measure 90 degrees. the perimeter of the rectangular bases changes by a factor of 2. the surface area changes by a factor of 8. the larger prism has twice the volume of the smaller prism. the area of the rectangular bases changes by a factor of 4.
The true statement about the right rectangular prisms include:
The angles in the smaller prism measure 90 degrees.The perimeter of the rectangular bases changes by a factor of 2.The rectangular bases changes by a factor of 4.How to illustrate the prism?It should be noted that a prism simply means a shape that has two identical shapes that face each other.
Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.
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HELP ASAP!!! PLEASE SHOW SOLUTIONS!!
Answer:
84 ways3,780 numbers3,628,800 waysStep-by-step explanation:
Solving :
Q1
No. of ways to choose 6 from 9 :⁹C₆ = 9! / 6! 3! 9 x 8 x 7 x 6! / 6! x 3 x 23 x 4 x 728 x 384 waysQ2
No. of numbers with distinguishable digits :9! / 4! 2! 2!9 x 8 x 7 x 6 x 5 x 4! / 4! x 2 x 29 x 2 x 7 x 6 x 510 x 63 x 6378 x 103,780 numbersQ3
No. of ways to arrange :10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 290 x 56 x 30 x 245040 x 7203,628,800 waysFind the area of a circular sector in cm² with angle 15° if the length of the intercepted arc is pi/2 cm
Answer:
0.52cm2
Step-by-step explanation:
l of Arc =tita/360×2πr
15/360×2×22/7×2
2.5 lbs of apples for $3.25 or 35oz for $3.50?
Answer:
2.5 lbs of apples for $3.25
Step-by-step explanation:
16 oz in one pound, 2.5 pounds is 40 oz. 40 oz is bigger than 35 and it costs less.
-10
Which system of inequalities is shown in the graph?
A)
x - 2y > 8 or x - 2y ≤ -6
x - 2y < 8 or x - 2y 2-6
x - 2y > -8 or x - 2y ≤ 6
x - 2y <-8 or x - 2y ≥ 6
B)
G
D)
-5
10-
0
-10+
5
10
Answer:
x - 2y > 8 or x - 2y ≤ -6
Step-by-step explanation:
I used desmos
I hope this helps!!!
Given that P(A or B) = 13, P(A)= 14, and P(A and B) = 18…. find P(B)
struggling with this could use some help + work explination, i havent been to class in weeks!
The value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Here is the formula for the probability of an exclusive event:-
[tex]P(AUB)=P(A)+P(B)-P(A\cap B)[/tex]
[tex]13=14+P(B)-18[/tex]
[tex]P(B)=17[/tex]
hence the value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.
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will mark brainiest to whoever gets it right!!!!!!:)
If they are parallel it would be 105
If its right please give brainliest
X=-3
A. 64
B. 8
C. 4
D. 16
Answer:
The answer is A.
Step-by-step explanation:
I took the test
If f (x) = startroot one-half x minus 10 endroot 3, which inequality can be used to find the domain of f(x)?
Because it is a cubic root, the argument can be positive and negative, so the domain is the set of all real numbers.
How to find the domain of our function?
Here we have the function:
[tex]f(x) = \sqrt[3]{\frac{1}{2}*x - 10}[/tex]
Now, if this is a cubic root (as I understand what you wrote) then we can use any value of x inside of that function, because the degree is odd.
Is not the case of the square root, where the argument must only be positive.
With that in mind, we conclude that the domain is the set of all real numbers.
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Answer: C
Step-by-step explanation:
Edge 2023
help pleasee!!?? Thank u
Answer: 9,156.24 ft³
Step-by-step explanation:
The formula for the volume of a cylinder is V = πr²h. The problem gives us both the radius and the height, so we have all necessary values to solve by substitution:
r = 9
h = 36
V = π(9)²×36
= 81 × 36 × π
= 2916π
= 9,156.24 ft³
PLEASE HELP! 20 POINTS!! PIC ATTACHED :)
From the figure, we immediately have
cos(θ) = 8/17
sin(θ) = 15/17
By definition of tangent,
tan(2θ) = sin(2θ)/cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
Then
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)
tan(2θ) = -240/161
Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full. its width is 3 and 1/2 in and its height is 77 in. find the length of the popcorn box in inches. round your answer to the nearest tenth if necessary.
If the volume of the popcorn box is 74 cubic inches. Then the length of the popcorn box in inches will be 0.3 inches.
What is a rectangular prism?A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full.
Its width is 3 and 1/2 in and its height is 77 in.
Then the width of the prism will be
[tex]\rm W = 3 + \dfrac{1}{2}\\\\W = \dfrac{7}{2}[/tex]
Then the length of the popcorn box in inches will be
[tex]\rm V \ = LWH\\\\\\74= L \times \dfrac{7}{2} \times 77\\\\\\L\ = 0.2745 \approx 0.3[/tex]
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Answer: the real answer is 3 inches not 0.3.
Step-by-step explanation:
Formula: V=lwh
You are searching for its length, so if width is 3 1/2 then it will convert to 3.5
V=lwh
75=L(3.5)(7)
=3.02040816
L= 3.0
Your welcome :))
what is 2.75% of 210,547
Answer:
5,790.0425
Step-by-step explanation:
Find the volume of the pyramid to the nearest cubic unit. Use a calculator.
64 m^3
96 m^3
192 m^3
256 m^3
Answer: 64 m^3
Step-by-step explanation:
V=1/3*a^2*h
V = 1/3*64*3
V=64 m^3
Answer:
64 m³
Step-by-step explanation:
Formula
[tex]\textsf{Volume of a square based pyramid}=\dfrac{1}{3}a^2h[/tex]
where:
a = side lengthh = perpendicular heightGiven:
a = 8 mh = 3 mSubstituting the given values into the formula:
[tex]\begin{aligned}\implies \textsf{Volume}& =\dfrac{1}{3} \cdot 8^2 \cdot 3\\\\& = \dfrac{3}{3} \cdot 64\\\\& = 1 \cdot 64\\\\& = 64\:\sf m^3\end{aligned}[/tex]
which statement is true about the result considering a significance level of 5%?
oA. the result is not statistically significant, which implies that this results could me due to random chance.
oB. The result is statistically significant which implies that spraying the corn plants with the new type of fertilizer does not increase the growth rate
oC. The result is not statistically significant which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate
oD. The result is statistically certificate which implies that spraying the corn plants with the new type of fertiliter does increase the growth rate
If the significance level is about 5% then the result is not statistically significant; which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
What is the meaning of significance level?The term significance level has to do with the probability of rejecting the null hypothesis even though it is true.
The significance level tells us if a result is statistically significant. Thus, if the significance level is about 5% then the result is not statistically significant; which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.'
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A)The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.
Did the project
A cone has a radius of 2 feet and a height of 6 feet. How many cones of liquid would it take to fill a cylinder with a diameter of 4 feet and a height of 6 feet? Complete the explanation. The radius of the cylinder is the same as the radius of the cone. The height of the cylinder is double the height of the cone. So, it will take cones to equal the volume of the cylinder.
Answer:
17 3/4 feet.
Step-by-step explan
I want help solving Id also like to know how you got the answer for future reference. ♥️
Answer:
5 seconds and 488 ft
Step-by-step explanation:
(a)
given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 ), then
the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = - 16x² + 160x + 88 ← is in standard form
with a = - 16 and b = 160 then
[tex]x_{vertex}[/tex] = - [tex]\frac{160}{-32}[/tex] = 5
the maximum height is at the vertex, the turning point on the graph
then it takes 5 second to reach its maximum height
(b)
to find the maximum height substitute x = 5 into the equation
y = - 16(5)² + 160(5) + 88
= - 16(25) + 800 + 88
= - 400 + 888
= 488
maximum height is 488 ft
Which fraction is equal to 0.370 (with the line over 370)
A. 37/100
B. 370/999
C. 37/99
D. 37/9
=========================================================
Explanation:
Let x = 0.370370370...
The "370" block repeats forever, due to the horizontal bar up top.
Multiply both sides by 1000 so that the decimal point moves three spots to the right.
x = 0.370370370...
1000x = 1000*0.370370370...
1000x = 370.370370370...
Then notice both x and 1000x involve the *exact* same decimal string of "370" repeating forever. This perfect match lets us cancel the decimal portions out when we subtract, and allows us to isolate x to get some fraction of integers.
1000x - x = 370.370370370... - 0.370370370...
999x = 370
x = 370/999
You can use your calculator to confirm that 370/999 = 0.370370370...
----------------
In fact, you can use your calculator to determine the following:
A) 37/100 = 0.37
B) 370/999 = 0.370370370...
C) 37/99 = 0.373737...
D) 37/9 = 4.1111111....
This allows us to see fairly quickly that choice B is the final answer and that we can rule out the others.
----------------
Side note: your calculator may round the last digit by mistake.
11
The area of a square is 49 cm2. What is the perimeter, in cm, of the square?
Answer:
28 cmStep-by-step explanation:
The area of a square is 49 cm2. What is the perimeter, in cm, of the square?
first we use the inverse formula to find the side (√49 = 7), then multiply the side by 4 (7 x 4 = 28)
or you can use an expression
4 * √49 = 28
Help!! Which is the best reason why step 1 is a good first step in the solution shown?
Answer:
Multiplying by 3 isolates x on one side of the equation.
Step-by-step explanation:
When solving an algebraic equation, you want to isolate the variable on
one side of the equation. By isolating the variable, you can see what the
variable is equal to.
Hope it helps, have a fantastic day.
please help with question
Answer:
65.8
Step-by-step explanation:
The Law of Sines can be used to find side values from angles when a side and its opposite angle are given.
__
The relation is ...
a/sin(A) = b/sin(B)
Solving for 'a' gives ...
a = b·sin(A)/sin(B) = 100·sin(18°)/sin(28°)
a ≈ 65.8
Which one of these numbers is a composite number a.17 b.51 c.97 d.89
Step-by-step explanation:
The correct answer here is 51
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Which one of these numbers is a composite number: 17, 51, 97, or 89?
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Composite numbers are divisible by 3 or more numbers.
17 is divisible by 1 and 17 only, so it's not composite.
51 is divisible by 1, 51, 3, and 17, so it's composite.
97 and 89 are divisible by two numbers only, so they are not composite.
So we conclude that the answer is
51
Good luck with your studies.[tex]\rule{300}{1}[/tex]
I would like help :)
Answer:
diameter - B
central angle - E
radius - A
tangent - D
minor arc - F
chord - C
If an airplane descends 15 feet every 1.45 seconds, how far would the airplane travel in three and a half minutes? The equation is y=-40x+58
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
The air plane descends 15 feels every 1.45 seconds, so it's unit rate is :
[tex]\qquad \sf \dashrightarrow \: \dfrac{15}{1.45} \: \: ft / sec[/tex]
Now we have to calculate the descent in 3.5 minutes ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{15}{1.45} \: \: \times 3.5 \times 60[/tex]
[tex]\qquad \sf \dashrightarrow \: 2172.41 \: \: ft[/tex]
So, the airplane descends 2172.41 feels in three and a half minutes ~
7. algebra sara allen is interested in buying a notebook
computer. if she buys the computer this week, she will
save $150.00 while it is marked down 16%. if she buys the
computer next week, she will pay the regular selling price.
what is the regular selling price?
A percentage is a way to describe a part of a whole. The regular selling price of the computer notebook will be $937.5.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the selling price of the computer notebook be represented by x.
Now, if Sara buys the computer this week, the selling price of the computer will be (100%-16%)x = 0.84x.
Also, the saving she made by buying this week will be $150, therefore, we can write,
x-0.84x = $150
0.16x = $150
x = 937.5
Hence, the regular selling price of the computer notebook will be $937.5.
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Which statements are true regarding this scenario? check all that apply. the sample space is {1, 2, 3, 4, 5, 6}. the expected value for the game is 0. the expected value for the game is one-half. the game is fair because the expected value is equal to 0. the game is unfair because the expected value does not equal 0.
Based on the game involving rolling a number cube, the applicable statements are:
The sample space is {1, 2, 3, 4, 5, 6}. The expected value for the game is 0. The game is fair because the expected value is equal to 0.What happens in a game involving rolling a number cube?There are six sides of a number cube which means that the sample space is all the sides the cube can land on which are 1,2,3,4,5, and 6.
Because there are 3 odd numbers which can give you a negative point, and 3 even numbers which can give a point, the expected value is 0 as these cancel each other out.
This makes the game fair because situations that have an expected value of 0 are considered fair because there are no expected losses or profits.
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Answer:
A,C,D
Step-by-step explanation:
short and simple for you ;)
