Answer: the answer is 4
Step-by-step explanation:
3(2−x)=−6
Step 1: Simplify both sides of the equation.
3(2−x)=−6
(3)(2)+(3)(−x)=−6(Distribute)
6+−3x=−6
−3x+6=−6
Step 2: Subtract 6 from both sides.
−3x+6−6=−6−6
−3x=−12
Step 3: Divide both sides by -3.
−3x
−3
=
−12
−3
x=4
Answer:
x=4
Which choice is equivalent to the quotient shown here for acceptable values of x?
Answer:
(D)
Step-by-step explanation:
Equivalent expressions are expressions that have equal values
The equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]
The expression is given as:
[tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex]
Represent the expression as a quotient
[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x^2}{3x}}[/tex]
Evaluate the quotient
[tex]\sqrt{8x^2 } \div \sqrt{3x} = \sqrt{\frac{8x}{3}}[/tex]
Hence, the equivalent expression of [tex]\sqrt{8x^2 } \div \sqrt{3x}[/tex] is [tex]\sqrt{\frac{8x}{3}}[/tex]
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The parabola opens to the right. The focus is given as
F (p,0) and directrix x = -p. The distance between the
focus and point P is equal to the distance between the
directrex and point P. Continue to simplify the equation to
solve for y2. THE ANSWER IS 4px!! :)
Answer:
Step-by-step explanation:
We have that the focus is at (p,0) and that the directrix is x=-p. Take the point (-p,0) of the directrix. We know that the vertex of the parabola is at the middle point ot the line segment that joins the points (p,0) and (-p,0). To get the middle piont, we take the average coordinate by coordinate. That is, the middle point is [tex](\frac{-p+p}{2}, \frac{0+0}{2}) = (0,0)[/tex]. The general formula of a parabola of vertex (h,k) that opens to the right or to the left is given by
[tex](y-k)^2 = 4p(x-h)[/tex]
Where |p| is the distance from the focus to the vertex. If the parabola opens to the right, then p>0 and p<0 otherwise. In our case, h =0=k, so we get that
[tex]y^2 = 4px[/tex]
Answer:
y^2 = 4px
Step-by-step explanation:
edg 2021
Is this SAS or Not SAS?
Answer:
SAS
Step-by-step explanation:
Four candidates participated in a school election Bianca received 1/5 of the votes, Chelsea received 0.26 of the votes, Darell received 25% of
the votes, and Francisco received the rest of the votes. What percent of the votes did Francisco receive?
A 29% B 31% C 33% D 35%
Answer:
A - 29%
Step-by-step explanation:
Bianca's 1/5 would be converted to 20%
Chelsea's .26 would be 26%
Darnell's is 25%
Adding these together you get 71. To find the remaining votes that Francisco received you would..
Subtract
100 - 71 = 29%
Therefor, your answer is A.
If Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Given that there were four candidates running for office in the school election, Bianca won 1/5 of the vote, Chelsea got 0.26, Darell got 25%, and Francisco got the remaining votes.
Bianca's 1/5 would be converted to 20% and Chelsea's .26 would be 26%, Darnell's is 25%
Adding these together you get 71. To find the remaining votes that Francisco received you would be applying the subtraction operations,
100 - 71 = 29%
Thus, if Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.
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Find , to the nearest tenth of a foot , the height of the tree represented in the accompanying diagram.
Answer:
Height of tree = 28.2 ft (Approx)
Step-by-step explanation:
Given:
Angle from ground to top of the tree = 62°
Distance from a point to base of tree = 15 ft
Height of tree = [tex]X[/tex]
Find:
Height of tree = [tex]X[/tex]
Computation:
Using trigonometric application:
[tex]Tan\ 62 = \frac{Height\ of\ tree}{Distance\ from\ a\ point\ to\ base\ of\ tree} \\\\Using\ calculator\ , Tan62 = 1.88\\\\1.88=\frac{Height\ of\ tree}{15} \\\\Height\ of\ tree=28.2ft[/tex]
Height of tree = 28.2 ft (Approx)
PLEASE HURRY!!IM BEING TIMED!WILL NAME BRAINLIEST!!
The table and graph show that each cracker in a package has 7 calories.
Crackers and Calories
crackers(X) calories(Y)
1 7
2 14
3 21
4 28
Which statement about the graph is true?
A.)The number of crackers is the dependent variable, and the number of calories is the independent variable.
B.)The point (42, 6) is on the line.
C.)The number of crackers are graphed on the y-axis, and calories are graphed on the x-axis.
D.)The two variables are the number of crackers and the number of calories.
(Picture not option!just a graph!)
Answer:
D.)The two variables are the number of crackers and the number of calories.
Step-by-step explanation:
The number of crackers is the independent variable, and the number of calories is the dependent variable.
The point (6, 42) is on the line
The number of crackers are graphed on the x-axis, and calories are graphed on the y-axis.
The volume of the shipping box needs to be 1,144 cubic inches. The equation that models the volume of the shipping box is 8(n + 2)(n + 4) = 1,144.
Answer the following questions about the equation modeling the volume of the shipping box.
Question 1
Solve the equation that models the volume of the shipping box, 8(n + 2)(n + 4) = 1,144. If you get two solutions, are they both reasonable?
Answer:
see below
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
FOIL
8(n^2 +2n+4n+8) = 1144
Divide each side by 8
8/8(n^2 +2n+4n+8) = 1144/8
(n^2 +2n+4n+8) = 143
Combine like terms
n^2 +6n+8 = 143
Subtract 143 from each side
n^2 +6n+8 -143= 0
Combine like terms
n^2 +6n -135 =0
Factor
What two terms multiply to -135 and add to 6
-9*15 =-135
-9+15 = 6
(n-9) (n+15) =0
Using the zero product property
n-9 =0 n+15=0
n = 9 n=-15
The length cannot be negative so n = -15 cannot be a solution
n =9
Answer:
n = 9
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
(n + 2)(n + 4) = 143
n² + 2n + 4n + 8 = 143
n² + 6n - 135 = 0
n² + 15n - 9n - 135 = 0
n(n + 15) - 9(n + 15) = 0
(n - 9)(n + 15) = 0
n = 9, -15
since n is a length, it can not be negative
Therefore the only solution is n = 9
If you take out a loan that costs $561 60 over eight years at an interest rate of 9% how much was the loan for?
Answer:
The loan was $28184.81
Step-by-step explanation:
Let the loan amount be x
Rate of interest on Loan = 9%
Time = 8 years
Amount of loan over 8 years = $56160
Formula : [tex]A=P(1+r)^t[/tex]
Where A = Amount =56160
P = Principal = x
r = rate of interest = 9% = 0.09
t = time = 8 years
Substitute the values in the formula :
So,[tex]56160=x(1+0.09)^8[/tex]
[tex]\frac{56160}{(1+0.09)^8}=x[/tex]
$28184.81=x
Hence The loan was $28184.81
Can someone pls help
Answer:
a) At what time does Bethan arrive home from school?
The answer would be C) 15:30
b) What distance does Siobhan travel each day when going to school and back?
The answer would be D) 16km
Step-by-step explanation:
The half-life of a certain radioactive element is 35 hours. If there are 904 grams of this element, how much will be left after 70 hours? PLEASE HELP I MIGHT FAIL MATH.
===========================================================
Explanation:
The half-life is 35 hours. This means every 35 hours, the amount of the substance is cut in half. If we started with 100 grams, then 35 hours later, we will have 50 grams. Then another 35 hours later we will then have 25 grams, and so on.
In this case, we start with 904 grams and follow this sequence:
904, 452, 226, 113, ...
Each term is cut in half. Going from term to term it takes 35 hours each. The third term 226 is the result of waiting two half-lives, which is 2*35 = 70 hours that have elapsed total.
--------------
If you want to use a formula, then it would be
[tex]y = A*\left(\frac{1}{2}\right)^{x/H}[/tex]
where,
H = half-life duration (in this case, it is 35)
A = starting amount (which is 904 in this case)
x = amount of time that has elapsed (we will plug in x = 70)
y = final amount after x units of time has elapsed
note that x and H must have the same time unit. Both are in terms of hours in this case.
------------
So we will plug A = 904, x = 70, H = 35 into the formula to get...
[tex]y = A*\left(\frac{1}{2}\right)^{x/H}\\\\y = 904*\left(\frac{1}{2}\right)^{70/35}\\\\y = 904*(0.5)^{2}\\\\y = 904*(0.25)\\\\y = 226\\\\[/tex]
We see that x = 70 leads to y = 226. This means after 70 hours, there is 226 grams of the material left.
What is the solution of the inequality shown
below?
c+2 < -1
Answer: c < -3
Step-by-step explanation: To solve for c in this inequality, your goal is the same as it would be you were solving an equation, to get c by itself on one side of the inequality.
Since 2 is being added to c, subtract
2 from both sides of the inequality.
On the left, the +2 and -2 cancel out
and on the right, -1 - 2 is -3.
So we end up with c < -3.
I have also graphed this for you below.
In a right triangle, sin (40 – x)° = cos (3x).What is the value of x?
Answer:
Value of x = 25
Step-by-Step Explanation:
~ Knowing that, in a right triangle ~
sin(40-x)=cos(3x) ⇒
sin(40-x)=sin(90-3x) ⇒
40 - x = 90 - 3x ⇒
40 - x +3x=90 - 3x +3x =>
40+2x=90 =>
2x=50 =>
x = 25
Now it is proven to be that,
x = 25
WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The cost for a business trip for 3 people is $1,975 per person. The business trip would use 79%
of the company’s travel budget. Find the total amount of money the company has budgeted for
travel. pls show work :)
Answer:
7500
Step-by-step explanation:
3*1975=5925
5925/.79=$7500
Answer:
5175
Step-by-step explanation:
1975*3=5925
5925/79%=7500 (Take one zero off)
750
5925-750=5175
The Company will pay 5175 in total. But 1725 per each person going.
Which of the following is equivalent to the complex number i8?
Choose 1 answer:
mi
1
-1
pl
Stuck? Watch a video or use a hint.
Report a problem
Answer:
1
Step-by-step explanation:
note that i² = - 1
Thus
[tex]i^{8}[/tex]
= i² × i² × i² × i²
= - 1 × - 1 × - 1 × - 1
= 1 × 1
= 1
The value of complex number is 1. Therefore, the option B is the correct answer.
What is the complex number?A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.
The given complex number is i⁸.
We know that, i²=-1
Now, i⁸ can be written as i²×i²×i²×i²
= -1×(-1)×(-1)×(-1)
= 1
Therefore, the option B is the correct answer.
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PLEASE ANSWER THIS ILL GIVE BRAINLIEST AND IM GVING MY LAST POINTS I REALLY NEED THIS FAST AND please be right! PLEASE
Answer:
question 7: 280 and question 8: 86
Step-by-step explanation:
Answer:
1) 70
2) 82
Step-by-step explanation:
I NEED HELP!
Line 9 and 10
To calculate your taxable income, subtract the sum of lines 8 and 9 from line 7.
factorise 15x- 10x^3
Answer:
5x (3-2x^2)
Step-by-step explanation:
so all you have to do is 15x-10x=5x right?, then all you have to do is 15/5=3. 10x/5x=2x. then subtract 1 from the exponents. then you get the answer. okay Im sure about the fist part and the divison but not the exponents, I did use a calculator to check it though.
The factorize equation is, [tex]\rm 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0[/tex].
The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].
Given that,
Equation; [tex]\rm 15x - 10x^3[/tex]
We have to determine,
Factorize the equation and factor of the equation.
According to the question,
To factorize the equation and determine the factor of the equation following all the steps given below.
Equation; [tex]\rm 15x - 10x^3[/tex]
Step1; Taking the term 5x common from the equation,[tex]\rm = 15x - 10x^3 = 0 \\\\= 5x (3-2x^2) = 0[/tex]
Step2; Simplify the equation,[tex]\rm = 5x (3-2x^2) = 0\\\\ = 5x (\sqrt{3} - \sqrt{2x}) (\sqrt{3}+\sqrt{2x}) = 0[/tex]
Step3; The roots of the equation are,[tex]\rm = 5x (\sqrt{3} - \sqrt{2}x) (\sqrt{3}+\sqrt{2}x}) = 0\\\\ The \ roots \ of \ the \ equation \ are;\\\\5x = 0, \ x = \dfrac{0}{5}, \ x =0\\\\\\[/tex]
[tex]\sqrt{3} - \sqrt{2x} = 0, \sqrt{2}x = \sqrt{3}, \ x = \dfrac{\sqrt{3} }{\sqrt{2} }\\\\ \sqrt{3} +\sqrt{2x} = 0, \sqrt{2}x = -\sqrt{3}, \ x =- \dfrac{\sqrt{3} }{\sqrt{2} }[/tex]
Hence, The roots of the equation are [tex]0 , \ \dfrac{\sqrt{3}}{\sqrt{2} }, \dfrac{-\sqrt{3}}{\sqrt{2} }[/tex].
For more details refer to the link given below.
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plz halp meh!!!!!!!
Answer:
M=25-3D
Step-by-step explanation:
Daniel starts with 25 dollars and spends three dollars per day for a d number of days. So the amount of money in his wallet should be equal to the starting number of dollars minus the amount of money he spends. Therefore we get the equation M=25-3D, where M is the amount of money is his wallet, and D us the number of days he buys a drink and chips.
Find the volume of the cone
Answer:
12π
Step-by-step explanation:
Volume of the cone is πr^2 * h / 3
r = 3
h = 4
9π * 4 / 3 = 12π
Answer: 37.6991118
Step-by-step explanation:
Max pays his rent for $300 on April 28th.
Max mows a different neighbor's lawn on April 29th and they pay him $15.
Max fills up his tank at a gas station on April 30th for $29.80.
Max buys a snack in the gas station for $4.57 the same day.
How much money does Max have on April 30th after he buys the snack?
Simplify. Rewrite the expression in the form y^ny n y, start superscript, n, end superscript. y^{-4}\cdot y^{3}=y −4 ⋅y 3 =y, start superscript, minus, 4, end superscript, dot, y, cubed, equals
Answer:
[tex]y^{-4}\cdot y^3=y^{-1}[/tex].
Step-by-step explanation:
The given expression is
[tex]y^{-4}\cdot y^3[/tex]
We have to simplify the above expression. in form of [tex]y^n[/tex].
Using property of exponents, we get
[tex]y^{-4}\cdot y^3=y^{-4+3}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
After addition of exponents, we get
[tex]y^{-4}\cdot y^3=y^{-1}[/tex]
Therefore, [tex]y^{-4}\cdot y^3=y^{-1}[/tex].
The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a
retirement home.
60-69. 70-79. Over 79. Total
Male: 12. 5. 1
Female: 8. 10. 4
Total
What is the relative frequency for females in the age group 60-69?
a. 3/20
b. 1/5
c. 9/40
d. 2/5
Answer:
b) 8/40 = 1/5
The probability of the relative frequency for females in the age group 60-69 is 0.625.
We know that the probability of a function is the ratio of favorable cases to the total number of cases possible.
here we have to find the probability that a resident is female.
What is the formula for probability?[tex]Probability=\frac{Total \ numbers \ of \females}{Total \ number \of people}[/tex]
here the total number of females are=19+2+4
=25
and the total number of males=1+9+5
=15
Hence, the total number of people=25+15=40
So Probability=25/40
=0.625
Hence option D is correct.
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Of all 25 marbles in a bag, 3 of the marbles are white. What is the probability that a white marble will be randomly selected from the bag without looking? Write your answer as a percent.
Step-by-step explanation:
Total marbles = 25
Probability of white marble = 3/ 25 = 0.12
3~ Please help. What is m∠BED?
Enter your answer as a number, like this: 42
Answer:
34
Step-by-step explanation:
There is the same opposite arch for both angles so they should be equal.
Hope this is helpful!
A man wants to hike two trails. The length of one trail is 7.709 km. The length of the other trail is 9.0309 km. What is the total length of the two trails?
Answer:
Its addition I think so the answer would we 16.7399km for both trials
Step-by-step explanation:
can someone help with this please,, also explain if you can..
Answer:
story 1
Step-by-step explanation:
because it says 2 higher than -2 so -2+2 is 0
Pythagorean Theorem: Jason only has room for a TV that is less than 30^ prime prime wide.
Find the width of the TV
Answer:
Step-by-step explanation:
length² + width² = diagonal²
24² + width² = 40²
576 + width² = 1600
width² = 1600 - 576
width² = 1024
width = √1024 = √32*32
width = 32"
Width of the TV is more than 30"
Answer:
32
Step-by-step explanation:
First off, Bruh, 30" is not prime prime. That's 30 inches.
The base of the TV is 32. This is because A^2+B^2=C^2. 24 is A, 40 is C, and the base is B.
So that means that is we take 24^2 and the base^2, we should get 40^2. 40^2 is 1600. 24 squared is 576. So if we take the base and square it and add 576, we should get 1600. Or we could just take 1600 and subtract 576.
1600-576=1024.
So now, the root of 1024 is the base. Which is 32. Hope that helped.
If you have a cube with a side length of ¼, how many cubes can fit into your rectangular prism? Explain.
Answer:
Step-by-step explanation:
No of cubes that can fit into rectangular prism = Volume of rectangular prism
Volume of cube
Find the volume of rectangular prism and divide that by the volume of cube
find the measure of arc UT Given
a.168
b.192
c.84
d.96
Answer:
is there supossed to be a picture?
Step-by-step explanation:
Answer:
Can you please give us a picture!
Step-by-step explanation:
The change in the x-coordinates of any two points on a line in the xy-plane is
the______
A. rise
B. slope
C. angle
D. run
Answer:
D. run
Step-by-step explanation:
The slope is given by
m = (y2-y1)/ (x2-x1) = rise/ run
The change in the x coordinates is the run
