Answers
Answer:
1. Add 5 to both sides
2. Divide both sides by 2
3. Take the square root of both sides
4. Subtract 2 from both sides
Step-by-step explanation:
2(x+2)²-5=93
Add 5 to both sides
2(x+2)²=98
Divide both sides by 2
(x+2)²=49
Square root both sides
x+2=7
Subtract 2 from both sides
x=5
Answer:
Let's solve the equation. To do this, we have to get x by itself. Perform the opposite of what is being done to the equation.
1. Add 5 to both sides, since 5 is being subtracted
2(x+2)^2-5=93
2(x+2)^2-5+5=93+5
2(x+2)^2=93+5
2(x+2)^2=98
2. Divide both sides by 2, since 2 is being multiplied
2(x+2)^2=98
2(x+2)^2/2=98/2
(x+2)^2=49
3. Take the square root of both sides, since x+2 is being squared
(x+2)^2=49
√(x+2)^2=√49
x+2=√49
x+2=7
4. Subtract 2 from both sides since 2 is being added
x+2=7
x+2-2=7-2
x=7-2
x=5
Related Questions
How do i solve this?
Answers
Answer:
O
Step-by-step explanation:
Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out -12 inch squares from each corner. The length of the original piece of cardboard is 24 inch more than the width. If the volume of the box is 1740 inch , determine the dimensions of the original piece of cardboard.
Answers
Answer:
29 feet in length, 5 feet in width and 12 feet in height
Step-by-step explanation:
We have that for the volume of a quadrangular prism is:
V = l * w * h
Ie length times width times height
In this case, the height is determined by the squares that you put in each corner, taking into account that a square has all the same sides, the height is 12 inches. h = 12
they tell us that the length is 24 inches more than the width, that is, l = 24 + w
replacing we have:
1740 = (24 + w) * w * 12
1740 = 12 * w ^ 2 + 288 * w
12 * w ^ 2 + 288 * w - 1740 = 0
if we calculate the root, we have w = 5 or w = -29
only works when w = 5
Thus:
l = 24 + 5
l = 29
which means that the dimensions are:
29 feet in length, 5 feet in width and 12 feet in height
29 feet in length, 5 feet in width and 12 feet in height
The calculation is as follows;
The volume of a quadrangular prism is:
[tex]V = l \times w \times h[/tex]
The length is 24 inches more than the width,
So l = 24 + w
Now
[tex]1740 = (24 + w) \times w \times 12\\\\1740 = 12 \times w ^ 2 + 288 \times w\\\\12 \times w ^ 2 + 288 \times w - 1740 = 0[/tex]
if we calculate the root, we have w = 5 or w = -29
only works when w = 5
So,
l = 24 + 5
l = 29
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Choose the graph of the inequality x >2
Answers
Step-by-step explanation:B
Answer:
The first graph
Step-by-step explanation:
Is the square root of 2 rational or irrational?
Answers
Answer:
irrational
Step-by-step explanation:
√2 is irrational
Answer:
It would be and irrational number!
please help me out here !
Answers
B) the equivalent fraction is 5/9 (only the first option)
Answer:
(a) options 1 and 4
(b) option 1 only
Step-by-step explanation:
Concept to learn:
REFER TO PICTURE ABOVE:
- means negative
+ means positive
(a) 9/-8 can be viewed as +/- = -. Hence any fraction that yields a overall negative value is the answer.
(b) - 5/-9 can be views as - /- = +. Hence, any fraction that yields a positive value is the answer.
What is the main intent of this report? to explain the services of Fast Pax to convince people to ship using Fast Pax to convince people to work for Fast Pax
Answers
The third option is the answer
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
taking it right now
Which is the graph of the equation y = 3x – 5?
Answers
Answer:
Step-by-step explanation:
Next time please share the answer choices. Here we have a straight line graph with y-intercept (0, -5) and slope of m = 3. The x-intercept is (5/3, 0).
A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point. The x-intercept is (5/3, 0) and slope is 3.
What is Straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point.
The standard form of a straight line is y=mx+c.
A slope of a line is the change in y coordinate with respect to the change in x coordinate
where m is the slope and c is the y intercept.
Here we have a straight line graph with y-intercept (0, -5)
and slope of m = 3.
The x-intercept is (5/3, 0).
Hence the x-intercept is (5/3, 0) and slope is 3.
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The endpoints of segment TU are T(-8, 4) and U(6, -1). Calculate the coordinates of the midpoint, M. *
Answers
Answer:
The point M(Mx, My) is mid-point of TU with T(Tx, Ty) and U(Ux, Uy).
=> 2*Mx = Tx + Ux => 2*Mx = -8 + 6 => Mx = -1
=> 2*My = Ty + Uy => 2*My = 4 + (-1) => My = 3/2
=> M(-1, 3/2)
Hope this helps!
:)
Answer:
( -1, 3/2)
You insert your variables into the midpoint formula in order for you to get the right answer
PLEASE HELP ME!
Martha has 3 red beads and 5 blue beads. In how many unique ways can they be ordered?
Answers
The number of ways to order 8 objects is 8 factorial (8!).
AWARDING BRAINLIEST! Please help me!
Pythagorean Theorem
Answers
Answer:
B= 21
Step-by-step explanation:
A^2 + B^2 = C^2
72^2 + B^2 = 75^2
Solve for B
B = 21
Will give Brainyist answer quick
Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C?
On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3).
A Is congruent to B and B Is congruent to C
A Is congruent to A, B Is congruent to B, C Is congruent to C
Each triangle is a right triangle.
Each triangle is an isosceles triangle.
Answers
Answer
The answer is a is congruent to b and b is congruent to c.
Step-by-step explanation:
a=b, b=c therefore a=c
Answer:
Credit to the person above me,
A.) A Is congruent to B and B Is congruent to C
Step-by-step explanation:
Edge 2021
6000 + 4500 + 58 1500
Answers
Answer:
592,000
Step-by-step explanation:
6000 +4500 = 10,500 + 581,500
= 592,00
Have a good day and stay safe!
The sum of the height and the radius of the base of cylinder is 34cm. If the total surface area of the cylinder is 2.992cm^3. Find radius
Answers
Answer:
Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend if it has really helped you plz don't forget to thank me...
Answer:
0.014 cm .
Step-by-step explanation:
I am assuming that it is a closed cylinder whose total surface area.
Area = 2πrh + 2πr^2
Let the radius be r and the height h, then we have the equations:
r + h = 34
2πrh + 2πr^2 = 2.992
From the first equation h = 34 - r, so substituting for h:
2πr( 34 - r) + 2πr^2 = 2.992
2πr^2 + 68πr - 2πr^2 = 2.992
68πr = 2.992
r = 2.992 / 68π
r = 0.014
Choosing a career means you also need to think about your ________ ________ .
Answers
Answer:
Life Path
Step-by-step explanation:
It's two words, and they are both of equal length. I hope that helps.
y to the power of 3=64
Answers
Answer:
y=4
Step-by-step explanation:
4*4*4=64
[tex]4^{3}[/tex]=64
Answer:
y = 4
Step-by-step explanation:
y^3 = 64
Rewriting 64 as 4^3
y^3 = 4^3
When the powers are the same, the bases need to be the same
y = 4
Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph. What is the probability that one girl and two boys will be chosen? 40% 50% 60% 70%
Answers
Answer:50 %
Step-by-step explanation:
Given
There are 4 girls and 6 boys in a club
Probability of choosing 1 girl and 2 boys is
[tex]=\dfrac{\text{No of ways of choosing 1 girl and 2 boys }}{\text{No of ways of choosing 3 member out of 10 member}}[/tex]
No of ways of choosing 1 girl and 2 boys[tex]=^4C_1\times ^6C_2[/tex]
[tex]P=\dfrac{^4C_1\times ^6C_2}{^{10}C_3}[/tex]
[tex]P=\dfrac{4\times 15}{10\times 3\times 4}[/tex]
[tex]P=\dfrac{15}{30}=\frac{1}{2}[/tex]
i.e. [tex]50\%[/tex]
The probability that one girl and two boys will be chosen from the Spanish club is 50%.
What is the probability?Probability is used to determine the odds that an event would happen. If the event would happen with certainty, it would have a value of 1. If it is certain the event would not happen, it would have a value of 0.
The probability = number of ways of choosing 1 girl and two boys / number of ways of choosing 3 people
(4x15) / (10 x 3 x 4) = 15/30 = 1/2 = 50%
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help me out here! I’ll give you brainliest!!
Answers
Answer:
3/10 || 7/10
Step-by-step explanation:
Answer:
30%
70%
Plz mark me brainliest
Step-by-step explanation:
The solids are similar. Find the surface area S of the red solid.
Answers
Answer:
756 m²
Step-by-step explanation:
The surface area is the function of 2 dimensions.
Scale factor is
6/4 = 1.5Surface are for the bigger solid will be 1.5*1.5 times the area of the smaller one
S = 336*1.5*1.5 = 756 m²The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of miles traveled in one day.
A graph shows hours labeled 1 to 9 on the horizontal axis and distance (miles) on the vertical axis. A line shows an upward trend.
Which is most likely true of the data set represented by the regression model on the graph?
Answers
Answer:
C.Each point in the data set is near the regression line.
Step-by-step explanation:
The most likely true option about the data set is that Each point in the data set is near the regression line.
What is a regression line?
This is the line that shows the behavior of a given group of data. The line is made up of data that are all fitted together when a straight line is drawn.
Hence when we look at the graph, we see a line that is made up of all of the data points contained in the data.
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Larry played the drums for 3 and 1/8 hour each day while five day band camp also played the marimba 1 and 3/5
hours on two of those days. How much time did Larry spend playing the drums and marimba during band camp?
hours
(Enter all mixed numbers as x y/z.)
Answers
Answer:
20 23/24 hours
Step-by-step explanation:
5*(3 1/8)+2*(1 3/5)
5*(25/8) + 2*(8/3)
125/8 + 16/3
375/24 + 128/24
=503/24
=20 23/24
Find the value of S
1/3 s + 14 = 26
Answers
Step-by-step explanation:
1/3 s + 14 = 26
1/3 s = 26 - 14
1/3 s = 12
s = 3 * 12
s = 36 (ANS)
Answer:
S=36
Step-by-step explanation:
You first turn the 14 into 0 by -14. Then you do it on the other side of the equall sign. Then you times 3 with the 1 on top and then times 12 by three. and botta boom botta bang theres your answer
f(x) = -2/3x+ 2; find f(-3)
Answers
Answer:
Step-by-step explanation:
f(-3) = -2/3(-3) + 2
2 + 2 = 4
At a baseball game, 20% of people attending were supporting the home
team, while 80% were supporting the visiting team. If the total number
of people attending the game was 2500, how many people attending
were supporters of the home team?
Answers
Answer:
500
Step-by-step explanation:
500/2500=20%
Answer:
500 people
Step-by-step explanation:
That would be 20% of 2500 people, or 500. Alternatively, write 0.20(2500), which also results in 500.
Which of the following are correct names for the line? SELECT ALL THAT APPLY.
A. CA
B. AC
C. AB
D. CB
Answers
(I am 85 percent sure...)
Last year 90 schools participated in the State Spelling Bee. This year there were 20%
more schools participating than last year. How many schools participated in the spelling
bee this year?
Enter your answer in the box.
schools
Answers
Answer:
108 participating schools
Step-by-step explanation:
Number of participating schools last year: 1.00(90 schools)
+20% more: +0.20(90 schools) (Increase over last year)
-------------------------------------------
New count: 1.20(90 schools) = 108 participating schools
108 schools participated in the spelling bee this year.
What is percentage ?
Percentage is a ratio in the form of fraction of 100.
Percentage is defined by the "%" symbol.
How to find the required result ?According to the problem, In last year 90 schools participated in the state spelling bee.
This year 20% more schools are participating than last year.
So, Number of increased schools = 20% of 90
= ([tex]\frac{20}{100}[/tex]×90)
= 18
∴ Number of schools participated this year = 90+18 = 108
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The record high temperature for Massachusetts is 104 degrees Fahrenheit. The record low is -18 degrees Fahrenheit. What is the difference between high and low?
Subtracting Integers question.
Answers
i know the answer im just not sure if its right
Answers
Answer:
D) 2 feet cubed.
Step-by-step explanation:
Area for a rectangular prism is LWH.
1 * 1 * 2 = 2 feet cubed.
Which of the following is true of (1, 4) and (1, −7)?
More information is needed to determine the relationship between the two points.
The points lie on a diagonal line.
The points lie on a vertical line.
The points lie on a horizontal line.
Answers
Answer:
The points lie on a vertical line.
Step-by-step explanation:
The x-values in the given two points are the same. If they were graphed and then connected, it would form a vertical line.
[see graph]
So, the points would lie on a vertical line.
can anybody figure this question out cause I can't figure it out.
Answers
Answer:
there is no change because it is a circle
Based on the spreadsheet below, what is the net cash flow? A 2-column spreadsheet showing Cash Inflows and Cash Outflows. Total Cash inflow is 2,040 dollars and total cash outflow is 1,750 dollars. a. $290 b. $390 c. $1,750 d. $2,040
Answers
The net cash flow from the spreadsheet dataset is $290
What is cash flow?The net cash flow is the difference between the total cash inflow and the total cash outflow.
The given parameters are:
Total cash inflow: $2040Total cash outflow: $1750So, we have:
[tex]Net = \$2040 - \$1750[/tex]
Calculate the difference
[tex]Net = \$290[/tex]
Hence, the net cash flow is $290
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