can someone help with all 4 questions and show work on how to do all of them please
Answers
[tex]\\ \rm\Rrightarrow |1/3(2^3-10^2/5)|=|1/3(8-20)|=|1/3(-12)|=4[/tex]
[tex]\\ \rm\Rrightarrow |-(1/6)^3|=(1/6)^3=1/216[/tex]
[tex]\\ \rm\Rrightarrow |6^3-7^3|=|216-343|=127[/tex]
[tex]\\ \rm\Rrightarrow |9^2+(-9)^3|=|81-729|=648[/tex]
Answer:
8) 1/216
13) 127
14) 648
15) 4
Step-by-step explanation:
Question 8[tex]\large \begin{aligned}\displaystyle \left|-\left(\frac{1}{6}\right)^3\right| & = \left|-\left(\frac{1^3}{6^3}\right)\right|\\\\& = \left|-\frac{1}{216}\right|\\\\& = \frac{1}{216}\end{aligned}[/tex]
Question 13[tex]\large \begin{aligned}\displaystyle \left|6^3-7^3\right| & = \left|216-343\\ & = \left|-127\right|\\ & = 127\end{aligned}[/tex]
Question 14[tex]\large \begin{aligned}\displaystyle \left|9^2+(-9)^3\right| & = \left|81+(-729)\right|\\& = \left|81-729\right|\\& = \left|-648\right|\\& = 648\end{aligned}[/tex]
Question 15[tex]\large \begin{aligned}\displaystyle \left|\frac{1}{3}\left(2^3-\frac{10^2}{5}\right)\right| & = \left|\frac{1}{3}\left(8-\frac{100}{5}\right)\right|\\\\& = \left|\frac{1}{3}\left(8-20\right)\right|\\\\& = \left|\frac{1}{3}\left(-12\right)\right|\\\\& = \left|\frac{-12}{3}\right|\\\\& = \left|-4\right|\\\\& = 4\\\end{aligned}[/tex]
Related Questions
Marilyn has been notified that her health insurance premiums will increase by 18% next year. She currently pays $523.00/month for herself and her family. How much will her monthly payment be next year?__________________
Answers
Answer:
she will pay 614.14 because 523 + 18% = 6.14.14
Step-by-step explanation:
Hope this helps!!
4 If 2 is a zero of
polynomial f(x) = ax² - 3(a-1)x-1,
then find the value of a.
Answers
Answer:
a = 2.5
Step-by-step explanation:
It is mentioned that 2 is a zero of the polynomial f(x) = ax² - 3(a - 1)x - 1
So that means :
⇒ f(x) = 0
⇒ x = 2
Substituting and solve for a :
⇒ 0 = a(2)² - 3(a - 1)(2) - 1
⇒ 0 = 4a - 6(a - 1) - 1
⇒ 0 = 4a - 6a + 6 - 1
⇒ 2a = 5
⇒ a = 2.5
#A crane is lowering a concrete block from a height of 240 feet above the ground at a constant rate of 4.8 feet per second.
Which function can be used to determine h, the height, in feet, above the ground of the concrete block after s seconds?
1 h = 4.8 - 240s
2 h = 240 -4.8s
3 h = 240 + 4.8s
4 h = 240s + 4.8
Answers
Answer:
2
Step-by-step explanation:
A cylinder has a volume of 216π cubic feet and a height of 18 feet. what is the area of the base? cylinder v = bh 1. substitute the known measures into the formula: 216π = b(18) 2. apply the division property of equality: 216π 18 = b 18 18 the base has an area of pi feet squared.
Answers
The cylinder is a three-dimensional shape, and the base area of the cylinder is 12π square feet
How to determine the base area?The given parameters are:
Volume = 216π cubic feetHeight = 18 feet.The volume of a cylinder is calculated using:
Volume = Base area * Height
So, we have:
216π = Base area * 18
Divide both sides by 18
Base area = 12π
Hence, the base area of the cylinder is 12π square feet
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Answer:
12
Step-by-step explanation:
Solve for x,
x = 10
x = 15
x = 8
x = 12
Answers
[tex]~~~~~~(8x-17)+(3x+2)+63 = 180\\\\\implies 11x +48=180\\\\\implies 11x = 180-48\\\\\implies 11x = 132\\\\\implies x= \dfrac{132}{11}\\\\\implies x= 12[/tex]
Answer:
x = 12.
Step-by-step explanation:
The sum of the 3 angles is 180, so:
8x - 17 + 3x + 2 + 63 = 180
11x -15 + 63 = 180
11x = 180 + 15 - 63
11x = 132
x = 132/11 = 12
Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs.
f(x)=(x-3)(x+8
a) x-intercepts are _________
b) midpoint of the x-intercepts is ___________
c) the extreme value is _______________
d) f(_) = ______________
Answers
Answer:
(a) (3, 0) and (-8, 0)
(b) (-2.5, 0)
(c) x = -2.5
(d) f(-2.5) = -30.25
Step-by-step explanation:
Given quadratic function:
[tex]f(x)=(x-3)(x+8)[/tex]
Part (a)The x-intercepts are when [tex]f(x)=0[/tex]
[tex]\implies f(x)=0[/tex]
[tex]\implies (x-3)(x+8)=0[/tex]
[tex]\implies (x-3)=0 \implies x=3[/tex]
[tex]\implies (x+8)=0 \implies x=-8[/tex]
Therefore, the x-intercepts are (3, 0) and (-8, 0)
Part (b)Midpoint between two points:
[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad[/tex]
[tex]\textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)[/tex]
[tex]\implies \textsf{Midpoint of the x-intercepts}=\left(\dfrac{-8+3}{2},\dfrac{0+0}{2}\right)=\left(-2.5},0\right)[/tex]
Part (c)The extreme point of a quadratic function in the form [tex]f(x)=ax^2+bx+c[/tex] is:
[tex]x=-\dfrac{b}{2a}[/tex]
Therefore, expand the function so that it is in standard form:
[tex]\implies f(x)=x^2+5x-24[/tex]
[tex]\implies a=1, b=5[/tex]
Therefore, the extreme value is:
[tex]\implies x=-\dfrac{5}{2}=-2.5[/tex]
Alternative method
A quadratic function has an extreme value at its vertex.
The x-value of the vertex is the midpoint of the x-intercepts.
Therefore, the extreme value is x = -2.5
Part (d)[tex]\begin{aligned}\implies f(-2.5) & =(-2.5-3)(-2.5+8)\\& = (-5.5)(5.5)\\& = -30.25\end{aligned}[/tex]
What is
(j^-13)(j^4)(j^6)
simplified?
PLS HELP
Answers
A biased coin is flipped twice.
The probability of the coin landing on tailsis 0.4. Find the probability the coin lands on tails exactly once.
Answers
Answer:
0.48.
Step-by-step explanation:
There are 2 ways that a tail lands once:-
Tail + head or
head + tail.
Prob(Tail on one throw) = 0.4
Prob(Head on one throw) = 1 - 0.4 = 0.6.
Prob(Tail first then head) = 0.4 * 0.6 = 0.24
Head then tail has the same probability (0.6*0.4).
So the requred probability = 0.24 + 0.24
= 0.48.
Given the bag of marbles below, determine the probability of drawing blue, then green, then blue, then blue with replacement
Answers
Answer:
bule is in the spot of green in the sixth place of box 5
Step-by-step explanation:
Please help me with my measurement 2 last questions.
Edit : please read 8 carefully.
Answers
The different units of measurement (millimeters, centimeters, meters and kilometers) are used to measure from very short distances such as the amount of a medicine in a syringe to long distances between cities.
What are units of measure?Measurement units are a series of references that are used to measure different elements and factors. Specifically, the units of measure for distance measure the distance between two points.
However, not all units of measure work for all situations, for example:
Millimeters are a unit of measurement for very short distances such as millimeters of medication in a syringe.Centimeters are a unit of measurement for average distances such as the height of a person or the size of some objects.Meters are a unit of measurement for large distances such as the dimensions of a house.Kilometers are a unit of measurement for very large distances such as the distance between two cities or countries.Learn more about distance in: https://brainly.com/question/15172156
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work out 85cents as a percentage of $2.03
Answers
Answer:
85 as aparcentege
85/100
0.85%
what is the measure of x 100
Answers
Answer:
don't understand
what do u mean
a basket contains red, green, yellow apples. An apple is selected at random if p(red) is 2/5 P(yellow) is 1/4 what is p(green)?
A. 3/20
B. 7/20
C. 1/10
D. 13/20
Answers
The probability of getting the green apple is 7/20 option (B) 7/20 is correct.
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.
We have:
P(red) = 2/5
P(yellow) = 1/4
The sum of the probability of the event is 1.
P(red) + P(yellow) + P(green) = 1
2/5 + 1/4 + P(green) = 1
P(green) = 1 - (2/5 + 1/4)
P(green) = 7/20
Thus, the probability of getting the green apple is 7/20 option (B) 7/20 is correct.
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Write the counts for the rhythms shown below:
Answers
Answer:
1, 2 +, 3 | 1, +, + | 1 +, 2 +, +
1, 2, 3, 4 | 2, 3, 5, 6 | 1, 3, 4, 5, 6
Step-by-step explanation:
Find the equation of an ellipse satisfying the given conditions
Answers
If the value of a and e is 5 and 4, then the value of b is 3. Then the equation of the ellipse will be given below.
[tex]\rm \dfrac{x^2 }{25} +\dfrac{y^2}{9} = 1[/tex]
What is an ellipse?Ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.
The vertices (±5,0) and foci (±4,0) are given. Then the equation of the ellipse will be
We know that the general equation of the ellipse will be
[tex]\rm \dfrac{x^2 }{a^2} +\dfrac{y^2}{b^2} = 1[/tex]
Then the value of a will be
a = 5
And the value of the eccentricity will be
e = 4/5
Then the value of the b will be
[tex]\rm b^2 = a^2 - a^2e^2\\\\b^2 = 5^2 - 5^2 \times \dfrac{4^2}{5^2}\\\\b^2 = 25 - 16\\\\b \ = 3\\[/tex]
Then the equation will be
[tex]\rm \dfrac{x^2 }{5^2} +\dfrac{y^2}{3^2} = 1\\\\\rm \dfrac{x^2 }{25} +\dfrac{y^2}{9} = 1[/tex]
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Please help and explain will try to give the brainiest if two people answer. Really need your help
Answers
This table shows the ticket price for each person to visit a zoo in winter.
adult = £18
child (3-17) = £14
child ( under 3) = free
A family of two adults, one child aged 8 and one child aged 1 visit the zoo in winter.
In summer, the zoo increases the prices.
An Adult ticket increases by 20%.
A Child ticket increases by 15%.
How much more does it cost the family to visit in the summer than in the winter?
Answers
Answer: £9.3 more
Step-by-step explanation:
Price for winter tickets: £18 + £18 + £14 = £50
Summer tickets pricing:
£18 + 20% = £21.6
£14 + 15% = £16.1
Price for summer tickets: £21.6 + £21.6 + £16.1 = £59.3
Subtract winter tickets from summer tickets for difference:
£59.3 - £50 = £9.3
Jasper was testing H_0: \mu=36H
0
:μ=36H, start subscript, 0, end subscript, colon, mu, equals, 36 versus H_\text{a}: \mu\neq36H
a
:μ
=36H, start subscript, start text, a, end text, end subscript, colon, mu, does not equal, 36 with a sample of 161616 observations. His test statistic was t=2. 4t=2. 4t, equals, 2, point, 4. Assume that the conditions for inference were met. What is the approximate P-value for Jasper's test?
Answers
Answer:
0.02<P-value<0.04
Step-by-step explanation:
solved in Khan Academy
A cone with a volume of 1152 pi m^3 has a radius of 12 m. Which of these statements is correct?
Answers
Answer:
The answer is b (the second option)
Step-by-step explanation:
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.06. The probability that it will not rain and the flight will leave on time is 0.82. What is the probability that it is raining and the flight is delayed? Round your answer to the nearest thousandth.
Answers
Answer:
0.892
Step-by-step explanation:
The probability that it is raining and the flight is delayed is 0.008.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.06.
Let P(A)=0.14 and P(B)=0.06
Here, P(A and B)=P(A)×P(B)
= 0.14 ×0.06
= 0.0084
= 0.008
Therefore, the probability that it is raining and the flight is delayed is 0.008.
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Find the length of x please
Answers
Answer:
42.29
Step-by-step explanation:
a^2+b^2=c^2
5^2+45^2=c^2
25+1764=c^2
1789 = c^2
sqrt 1789
= 42.29
What is the radius of this circle if the circumference is 18 (pie) cm? c= 18 (pie) cm 3 cm 9 cm 18 cm 36 cm
Answers
Answer:
9, if you round to 2 Decimal Places.
(C = 18π = 18 × π = 56.54 (2 DP))
r = C ÷ 2π
= 56.54 ÷ 2 × π ≈ 9
Use a table to find (−3+2j)(4j−7).
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression (−3+2j)(4j−7) is 8j²-26j+21.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the expression (−3+2j)(4j−7) can be expression is,
(−3+2j)(4j−7)
= -12j + 21 + 8j² -14j
= 8j² -26j +21
Hence, the value of the expression (−3+2j)(4j−7) is 8j²-26j+21.
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Question
The following sphere has a diameter of 18 cm.
Answers
Answer: A
Step-by-step explanation:
y=3x^2+6x-9. Use the table function to see when the y value would be about 20.
Answers
Answer:
1311
Step-by-step explanation:
Agroup of friends were working on a student film with a budget of $500, which they
spent on equipment and costumes, They spent $55 on costumes, What percent did
they spend on equipment?
Answers
Answer:
89%
Step-by-step explanation:
500-55=445
445/500=0.89
0.89x100=89
$500- $55= $445
445/500 = 89/100
89/100 × 100/1= 89%
Answer: 89%
Does anyone loves math TvT
Answers
The solution to all parts are given below:
What is experiment?The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.
1. The experiment is to spin the wheel and get the number and related to that number reward will be there.
2. The outcomes will be,
{1, 2, 3, 4, 5, 6, 7, 8}
3. Sample space
{1, 2, 3, 4, 5, 6, 7, 8}
4. Event of red with even number
= 2 , 6
5. Event of red with odd number
= 3,7
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Factor Completely x^4-2x^2y^2+y^4
100 Points pls help me and i will give the brainliest also pls if u can attach maybe some easier ways to solve problems like these...
Answers
[tex]\bf (x+y)^2(x-y)^2[/tex]
==============
Solving Steps:===============
[tex]\rightarrow \sf x^4-2x^2y^2+y^4[/tex]
breakdown
[tex]\rightarrow \sf x^4-x^2y^2-x^2y^2+y^4[/tex]
factor common term
[tex]\rightarrow \sf x^2(x^2-y^2)-y^2(x^2-y^2)[/tex]
collect in groups
[tex]\rightarrow \sf (x^2-y^2)(x^2-y^2)[/tex]
apply difference between two square method: x² - y² = (x+ y)(x-y)
[tex]\rightarrow \sf (x+y)(x-y) (x+y)(x-y)[/tex]
simplify
[tex]\rightarrow \sf (x+y)^2(x-y)^2[/tex]
Mechanical energy is as much of potential and kinetic energy. Mechanical energy is never lost but only transformed from one form to another. As long as all the mechanical energy is as much as the potential energy then the kinetic energy is 0J. The mechanical energy of an object is found by summing its potential energy and kinetic energy.
Answers
15 POINTS, please complete this problem and explain to me how you did it lol, there's so many of these in my homework and I'm in desperate need of help
Answers
Answer:
5
Step-by-step explanation:
you have to do a^2+b^2=c^2, so a you don't know so skip that then for the b u would put 12^2 wich is 144 then you know the c witch us 13^2 wich is 169. then solve the equation which would give you a answer of 5
