Answer:
x^(2)-14=50
Step-by-step explanation:
The word problem 'The difference between a number squared and 14 is 50' translates to the quadratic equation x^2 - 14 = 50 in mathematical terms.
Explanation:To form an equation, let's denote the unknown number as x. The phrase 'a number squared' can be written as x2, and 'the difference between a number squared and 14' translates to x2 - 14. According to the problem, this difference equals 50. Therefore, the equation representing this situation is:
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Find the value of the coefficient a in the equation ax+2y=8, if the solution to the equation is the pair x=2 and y=1.
Answer:
a = 3
Step-by-step explanation:
Simply substitute 2 for x and y for 1 and solve.
This will get you 2a + 2 = 8
Then simplifying, 2a = 6.
a = 3.
The value of a and the coefficient of x is 3.
What is substitution?
Substitution means putting numbers in place of letters to calculate the value of an expression .
According to the given question.
We have a equation.
ax + 2y = 8.
Also, the solution to the equation is (2, 1).
So, substitute x = 2 and y = 1 in the equation ax + 2y = 8.
⇒ [tex]a(2) + 2(1) = 8[/tex]
⇒ [tex]2a + 2 = 8[/tex]
⇒ [tex]2a = 8-2[/tex] ( subtracting 2 from both the sides)
⇒ [tex]2a = 6[/tex]
⇒ [tex]a = \frac{6}{2}[/tex] (dividing both the sides by 2)
⇒ [tex]a = 3[/tex]
Hence, the value of a and the coefficient of x is 3.
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what 40,100,000 written in scientific notation?
Answer: 4.01 x 107
Step-by-step explanation:
Answer:
4.01x10^7=40100000
Select the correct answer. What are the intercepts of y = 4x − 2?
x-intercept(s): (1/2, 0) or (0.5, 0)
y-intercept(s): (0, −2)
Find area of a circle that has a diameter of 8 m
Answer:
50.24 m^2
Step-by-step explanation:
Area of a circle = Pi r^2
Pi = 3.14
Diameter = 8 m
Radius r = diameter/2 = 8/2
= 4
Therefore
Area = 3.14 x 4^2
= 3.14 x 4 x 4
= 50.24 m^2
4) Dan had 199 dollars to spend on 7 books. After
buying them he had 17 dollars. How much did each book cost?
Answer:
The answer is that each book costs 26 dollars
Step-by-step explanation:
First we subtract 199 dollar from 7 =182
Then we divide 182 dollars to the seven book in order to find a unit =182/7=26
To prove this answer multiply 26 dollars than 7 books and see if the outcome is 182.Then subtract 199 from 182 and see if you got 17.
A right rectangular prism has a height of 6.5 cm, a width of 8 cm, and a length of 12. 1 cm.
What is the volume of the prism? Enter the answer in the box.
Answer: la respuesta es 314,6 cm
Step-by-step explanation:
V = 1/2 x longitud x anchura x altu
v = 1/2 x 12,1 cm x 8 cm x 6,5 cm
= 0,5 x 12,1 cm x 8 cm x 6,5 cm
= 314,6 cm
Answer:
[tex]≈
629.2 {cm}^{3} [/tex]
Step-by-step explanation:
[tex]volume = whl \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \times 6.5 \times 12.1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ≈
629.2 {cm}^{3}
[/tex]
Has anyone did the storm tracker portfolio worksheet?
The 'Storm Tracker Portfolio Worksheet' likely entails exercises related to tracking weather systems, and this can be part of a geography or earth science curriculum in high school. It seeks to enrich students' understanding of weather systems, including Space Weather such as Sun storms.
Explanation:Given that your query refers to a 'Storm Tracker Portfolio Worksheet,' it's presumed that this refers to lessons on tracking weather patterns and phenomena, linking to geography and earth science. In this context, it's important to note that these activities usually entail analyzing and predicting weather system developments, including storms brought about by Space Weather such as those on the Sun.
The 'Storm Tracker Portfolio Worksheet' may include exercises like noting down storm paths, examining storm frequencies, interpreting storm system scenarios, among others. The ultimate goal of this exercise is to deepen students' comprehension of how weather systems and various atmospheric conditions affect our planet.
Each person's worksheet may differ based on their geographical location and the specific details needed to be observed and outlined at a given time. It would be helpful to refer to the instruction set provided along with your worksheet to understand what is required of you and what to look out for when completing the worksheet.
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If the diagonal of a square is approximately 12.73, what is the length of its sides?
Answer:
The length of the sides of the square is 9.0015
Step-by-step explanation:
Given
The diagonal of a square = 12.73
Required
The length of its side
Let the length and the diagonal of the square be represented by L and D, respectively.
So that
D = 12.73
The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:
[tex]D^{2} = L^{2} + L^{2}[/tex]
Solving further, we have
[tex]D^{2} = 2L^{2}[/tex]
Divide both sides by 2
[tex]\frac{D^{2}}{2} = \frac{2L^{2}}{2}[/tex]
[tex]\frac{D^{2}}{2} = L^2[/tex]
Take Square root of both sides
[tex]\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}[/tex]
[tex]\sqrt{\frac{D^{2}}{2}} = L[/tex]
Reorder
[tex]L = \sqrt{\frac{D^{2}}{2}}[/tex]
Now, the value of L can be calculated by substituting 12.73 for D
[tex]L = \sqrt{\frac{12.73^{2}}{2}}[/tex]
[tex]L = \sqrt{\frac{162.0529}{2}}[/tex]
[tex]L = \sqrt{{81.02645}[/tex]
[tex]L = 9.001469325[/tex]
[tex]L = 9.0015[/tex] (Approximated)
Hence, the length of the sides of the square is approximately 9.0015
Someone help me with the diagram below!!
DISCLAIMER: If you do not know the answer to this problem and answer just for the points, this is unappreciated, and I most likely will report you.
The circle graph shows the number of gallons of ice cream ordered for the concert in the park. What percentage of the ice cream ordered was strawberry?
A.) 33 1/3%
B.) 9%
C.) 30%
D.) 40%
PLEASE ANSWER I WILL GIVE BRAINLIEST!!! THIS IS K12 / KEYSTONE QUESTION!
Answer:
30%
Step-by-step explanation:
It has to be less than 33 (1/3 of the pie chart), but not too much, concluding it is 30%, or c
:3 1st
Answer:
C (30%)
Step-by-step explanation:
There are 30 total gallons of ice cream, and 9 strawberry. That's 9/30, which simplifies to 3/10, and then 30%
Hope this helps!!
brainliest?
It takes 0.25 hours to complete each test lession. Make a table showing how long 3, 7, 9, and 12 lessions take. Give the constant of proportionality and write an equation that relates the time (t) to the number of sessions (s).
Answer:
1 0.25
2 0.50
3 0.75
5 1.25
7 1.75
9 2.25
11 2.75
12 3.00
t=0.25s
What is the rate of change of the linear function? Thanks! :)
Answer:
-3/4 or -0.75
Step-by-step explanation:
You go down 6, over 8.
6/8=3/4
It's a negative slope, so the rate of change is -3/4 or -0.75.
How do you solve for mass if KE=0.5mv^2
Answer:
Step-by-step explanation:
We want to isolate m in the formula KE=0.5mv^2. To do this, divide both sides by 0.5v^2:
KE
m = ----------------------
v^2
Given that 7^2=12^x, evaluate 12^2x
please help
Answer:
2401
Step-by-step explanation:
You and TWO of your closest friends went to a restaurant for dinner. The bill came to $25.60. You want to split the bill EQUALLY and leave a 20% tip. How much does each person owe? (Show Work.)
A: $5.12
B: $8.53
C: $10.24
Answer:
C
Step-by-step explanation:
Since they left a tip of 20% you find 20% of 25.60, and then add it to 25.60.
You add 5.12 and 25.60 because it was a tip, they gave that much more.
So 20% which is 5.12.
25.60 + 5.12 = 30.72
since there were 3 people in total you just divide
30.72 / 3
= 10.24
What is the value of x? PLEASE HELP ASAP!
Answer:
A. 28
Step-by-step explanation:
95+57=152
180-152=28 (180 is sum of triangle, in order to find the angle measurement u have to subtract).
Based on the angle measures in the diagram, what is the value of x?
Answer:
32°
Step-by-step explanation:
Since the outer angle is 99°, the interior angle must be 180° - 99°. That is 81°. We then do the same for the outer angle 113°. So 180° - 113° is 67°. Since the angles of the interior angles must equal 180°, we add 81° and 67°. That equals 148°. Now to figure out x, 180° - 148° is 32°. I hope this helps! Please mark me brainliest!
Need help really bad
Answer:
10
Step-by-step explanation:
just add
Answer:
When xy are zero multiply by 1.33 and we will find y only if x =70
So the linear function will be
y = 90/0 = 0 = y = x/0
y = 90/2 = 2 = y = x/2
y = 90/4 = 4 = y = x/4
y = 90/8 = 6 = y = x/8
x=90 y = 60 when both = 0
Or we can reverse and do x2+2 and call train f(x) and train = x = 90.
Step-by-step explanation:
70/90 = 0.77 = 70 x 1.33 = 90 as a fraction percentage 77%
60/45= 1.33 = 70 x 1.33 = 90 / 2 = 45 ( and as 22.5 as a fraction percentage 133/3%)
50/22.5=2.22 = 70 x 1.33 = 90/4 = 22.5 as a fraction percentage 222.2%
40/11.25=3.55 = 70 x 1.33 = 90 /8 = 11.25 as a fraction percentage= 355.5%
In one year, Angelica's height went from 52 inches to 56 inches what was the percent of increase in Angelica's height
Answer: 7.7%
Step-by-step explanation: First find the increase in height by subtracting 52 from 56. 56-52=4.
To find what percent this is of 52, divide 4 by 52. 4/52=0.0769. Then convert this from a decimal to a percent by multiplying by 100. 0.0769*100=7.69.
I just rounded it to the nearest tenth, you can change it how you need to.
Final answer:
The percent of increase in Angelica's height over one year, from 52 inches to 56 inches, is approximately 7.69%.
Explanation:
The student is asking how to calculate the percent of increase in height over a one year period. We start by finding the initial and final measurements, then calculate the increase and convert it to a percentage.
Angelica's initial height is 52 inches, and her final height after one year is 56 inches. The increase in height is 56 inches - 52 inches, which equals 4 inches. To find the percent increase, use the formula:
Percent increase= (Increase / Original amount) x 100
So, the calculation is
Percent increase= (4 / 52) x 100 = 7.69%
Therefore, the percent increase in Angelica's height is approximately 7.69%.
does a vertical stretch make a graph narrower or wider?
Answer:
narrower
Step-by-step explanation:
300 mi /20 sec = ? Mi /1 min
Answer:
900
Step-by-step explanation:
To get your answer, you can just multiply 20 seconds by 3 to get 60 seconds, which is a minute.
Since whatever you do on one side you have to do to the other, multiply 300 mi by 3 as well. That would get you 900.
Combining Like Terms to Solve Equations
-7y+2=16
show how you got the answer
Answer:
y=-2
Step-by-step explanation:
-7y+2=16
-2 -2
-7y=14
_____ <dividing line
-7 -7
y=-2
The future perfect tense is__________.
will happen
is happening
will have happened
should happen
Answer:
it's will have happened
Step-by-step explanation:
I got it right
which of the following values is between 7 and 8
Find the circumference of the circle. Round your answer to the nearest hundredth.
Answer:
25.13
Step-by-step explanation:
C=2πr
C=2 x 3.14 x 4
C= 25.13
The diagram shows one way to develop the formula for the area of a circle. Pieces of a circle with radius r are rearranged to create a shape that resembles a parallelogram.
A circle is shown. The circle is cut into 8 equal pieces. Pieces of the circle with radius r are rearranged to create a shape that resembles a parallelogram.
Since the circumference of the circle can be represented by 2πr, and the area of a parallelogram is determined using A = bh, which represents the approximate area of the parallelogram-like figure?
A = (2πr)(r)
A = (2πr)(2r)
A =One-half(2πr)(r)
A =One-half(2πr)(r2)
Answer:
A =One-half(2πr)(r)
Step-by-step explanation:
i got it right!
The approximate representation of the area of a parallelogram like figure is as follows:
A = 1 / 2 (2πr) (r)The circle is cut into 8 equal pieces and used to create a shape that resembles a parallelogram.
Properties of a parallelogramOpposite sides are equal and parallelopposite angles are equaldiagonal bisect each otherCircumference of a circle is the perimeter of the circle.
circumference = 2πrArea of parallelogram = bh
Where
b = base
h = height
Therefore,
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Sandy spent half of her allowance going to the movies. She washed the family car and earned 8 dollars. What is her weekly allowance if she ended with 13 dollars ?
Answer:
I hope this helps (๑¯◡¯๑)
To find Sandy's allowance, we use the given information to set up an equation. After solving it, we determine that Sandy's weekly allowance is $10.
To determine Sandy's weekly allowance, we need to work backward from the information given. We know that she ended with $13 after spending half of her allowance on movies and earning an additional $8 from washing the car. Let's let the variable A represent Sandy's allowance. According to the problem, Sandy spent A/2 on movies, and when she added the $8 she earned, she had $13.
We can set up the equation as follows:
(A/2) + 8 = 13Now, we solve for A to find the allowance:
A/2 = 13 - 8A/2 = 5A = 5 * 2A = $10So, Sandy's weekly allowance is $10.
Write this number in words.
8,400.9
Answer:
eight thousand four hundred and nine tenths
Hope this helps!
If two lines have different slopes, they cannot have an infinite number of solutions.
A. Always
B. Sometimes
C. Never
A student saves $15 per week toward the purchase of a guitar. Her grandmother gives her $50 to help her reach her goal, which function can be used to find the amount in dollars the student has saved after x weeks?
Answer:
Function: y= 15x + 50
or f(x)=15x+50
Answer:
f(x)=15x+50
Step-by-step explanation:
since her grandmother gave her $50 once you just add it to the problem, and she's collecting $15 every week meaning 15x.