Answer:
The value of x is -2√2 or 2√2.
Step-by-step explanation:
Given that y is inversely proportion to x², y ∝ 1/x². So the formula will be y = k/x² where k is the constant. In order, to find the value of k, you have to substitute the values of x and y into the formula :
[tex]y = \frac{k}{ {x}^{2} } [/tex]
[tex]let \: x = 7 \\ let \: y = 3[/tex]
[tex]3 = \frac{k}{ {7}^{2} } [/tex]
[tex]3 = \frac{k}{49} [/tex]
[tex]3 \times 49 = k[/tex]
[tex]k = 147[/tex]
[tex]y = \frac{147}{ {x}^{2} } [/tex]
Next, you have to substitute the y value into the equation to find x :
[tex]let \: y = 18.375[/tex]
[tex]18.375 = \frac{147}{ {x}^{2} } [/tex]
[tex]18.375 {x}^{2} = 147[/tex]
[tex] {x}^{2} = \frac{147}{18.375} [/tex]
[tex] {x}^{2} = 8[/tex]
[tex]x = ± \sqrt{8} [/tex]
[tex]x = - 2 \sqrt{2} \: \: or \: \: 2 \sqrt{2} [/tex]
Calculate the surface area of a solid box in the shape of a cube with side length 10cm
Answer:
600 cm
Step-by-step explanation:
Surface Area of a box: SA=2lw+2lh+2hw
Since a box has equal side lengths, l = 10, w = 10, and h = 10.
SA = 2(10)(10) + 2(10)(10) + 2(10)(10)
SA = 600cm
A building is being constructed. When completed, it will be 596 meters tall. It currently stands at 77% of this height. Which is the best estimate for the current height of the building? 350 meters 400 meters 450 meters 480 meters
Answer:
450
Step-by-step explanation:
Since we are estimating, we can round 596 to 600, and 77 to 75
So, we need to find 75%, or 3/4 of 600
600 * 3/4 = 150 * 3 = 450
Answer:
450 meters
Step-by-step explanation:
are all integers rational numbers?
Answer:
True
Step-by-step explanation:
Yes! All integers "are" rational numbers. They can be expressed in the form of p/q.
Hope this helps :D
Don't hesitate asking anything regarding this.
Answer:
Yes
Step-by-step explanation:
Rational numbers are numbers that can be written as a fraction.
Integers are 1 2 3 4 5 and even -5 -4 -3 -2 -1, they can all be written as fractions.
In the figure below, AB: BC is 3 : 1 and AC = 48. The length of AB is:
Can someone help me with this i included a picture
Answer:
36
Step-by-step explanation:
Here, we shall be splitting the total length using the ratio given.
The total ratio is 3 + 1 = 4
Since AB is the bigger length, the ratio 3 belongs to it.
Thus; 3/4 * 48 is the length of AB
= 3/4 * 48 = 3 * 12 = 36
Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by , where is the number of hours since 10 AM, .
Complete Question:
Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by [tex]x(t) = -4t^2 + 20t + 60[/tex], where is the number of hours since 10 AM:
a) Find an expression for the revenue per hour as a function of x, R(x)
b) Find and simplify, R(x(t))
Answer:
a) R(x) = 2x
b) [tex]R(x(t)) = -8t^2 + 40t + 120[/tex]
Step-by-step explanation:
a) This is a very trivial exercise.
[tex]x(t) = -4t^2 + 20t + 60[/tex]
The number of hot dogs sold per hour is given by x
Charge per hot dog = $2
An expression of revenue per hour,R, as a function of the number of hot dogs sold per hour, x, is therefore: R(x) = 2x
b) [tex]x(t) = -4t^2 + 20t + 60[/tex]
R(x(t)) = 2(x(t))
[tex]R(x(t)) = 2(-4t^2 + 20t + 60)\\R(x(t)) = -8t^2 + 40t + 120[/tex]
Can somebody help me with this ?? :)
Answer:
A.
Step-by-step explanation:
We have AC = DF, ∠A =∠D, so
we need AB = DE.
We get SAS congruence.
Work out the value of x please
Answer:
X=67.5
Step-by-step explanation:
360-90=270
Then I do
270/4=67.5 to find the answer of each X
(4 is how many X is in the 270 degree)
What is a regular Polygon? Name all the types of polygon.(HELP ASAP)
Answer:
A regular polygon is a polygon with sides of equal length. Some examples include, a equilateral triangle, square, regular pentagon, regular hexagon, regular heptagon, regular octagon, regular nonagon, regular decagon...
Which set of numbers can represent the side lengths in centimeters of a right triangle?
8.12.15
10 24 26
12. 20, 25
0 15 18.20
Answer:
8.12.15
Step-by-step explanation:
mark brainliest plz
Amrita thinks of a number. She doubles it, adds 9 , divides her answer by 3 and finally subtracts 1 . She obtains the same number she originally thought of. What was Amrita's number?
Answer:
Amrita's number is 6
Step-by-step explanation:
x Double the unknown number
2x Add 9
2x + 9 Divide the answer by 3
2/3x + 3 Subtract 1
2/3x + 2 Set this equal to the original number
2/3x + 2 = x
-2/3x -2/3x Subtract 2/3x from both sides
2 = 1/3x Multiply both sides by 3
6 = x
Amrita's number was 6.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number = x
We can write an expression from the given statement.
{ (2x + 9) ÷ 3 } - 1 = x
Solve for x.
{ (2x + 9) ÷ 3 } - 1 = x
(2x + 9)/3 - 1 = x
2x + 9 - 3 = 3x
Add 3 on both sides.
2x + 9 = 3x + 3
Subtract 9 on both sides.
2x = 3x + 3 - 9
2x = 3x - 6
6 = 3x - 2x
x = 6
We can cross-check.
{(2 x 6 + 9) ÷ 3} - 1 = 6
{(12 + 9) ÷ 3} - 1 = 6
7 - 1 = 6
6 = 6
Thus,
The number was 6.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
so 90/7 divided by 1 and three-fourths i keep trying but i keep getting a different answer what would be the best estimate
Answer:
see below
Step-by-step explanation:
90/7 ÷ 1 3/4
Change to an improper fraction
90/7 ÷ (4*1+3)/4
90/7 ÷7/4
Copy dot flip
90/7 * 4/7
360 /49
The exact answer is 7 17/49
To estimate I would round 49 to 50 and 360 to 350
350/50 is approximately 7 and since I rounded the numerator down and the denominator up, the answer would be a little higher
Cathy used a probability simulator to pull three colored marbles from a bag and flip a coin 50 times. The results are shown in the table below. Using Kathy’s simulation, what is the probability of pulling a blue marble in the coin landing tails up?
Answer:
blue marble 12/50. tails 20/50
Step-by-step explanation:
12/50×20/50 =240/2500= 12/125 =9.6%
Answer:
12/50
Step-by-step explanation:
Help meeeeeeeeeeeeeee!!!!!!
Answer:
2x+3=9
2x=6
x=3
3w-1=14
3w=15
w=5
7y+2=30
7y=28
y=4
5x+20=35
5x=15
x=3
6c-12=48
6c=60
c=10
8m-4=20
8m=24
m=3
7w+13=90
7w=77
w=11
12p-18=30
12p=48
p=4
9w-5=67
9w=72
w=8
10a+40=100
10a=60
a=6
9x-24=84
9x=108
x=12
7w+1=1
7w=0
w=0
your welcome
Answer:
The answers will be listed below:
A. [tex]x=3[/tex]
B. [tex]w=5[/tex]
C. [tex]y=4[/tex]
D. [tex]x=3[/tex]
E. [tex]c=10[/tex]
F. [tex]m=3[/tex]
G.[tex]w=11[/tex]
H. [tex]p=4[/tex]
I. [tex]w=8[/tex]
J. [tex]a=6[/tex]
K. [tex]x=12[/tex]
L.[tex]w=0[/tex]
I would show how to do it but it will take to long.
Here's for the last one
Hope this helps.
11. The formula for finding a number that's the square root of the sum of another number n and 6 is
A. x = √n + 6.
B. x = √n + 6.
C. x = √n + √6.
D. x = √n6.
Answer:
x = [tex]\sqrt{x+6}[/tex]
Step-by-step explanation:
The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).
Look at this information.
[tex]x \leqslant 0[/tex]
1)Give an example of what the value of x could be.
2) Give a different example of what the value of x could be.
Answer:
1) 0
2) -1
Step-by-step explanation:
x ≤ 0, that means x is equal and less than 0 . so the numbers will start from 0,-1, -2 and so on
Simon makes 30 cakes He gives 1/5 of the cakes to sali He gives 10% of the cake to Jane What fraction of 30 does he have left
Answer:
7/10 or 0.7 or 70% left.
Step-by-step explanation:
Since he gives 1/5 of the cake to Sali, he gave 1/5 * 30 = 6 cakes away to Sali. Since 10% is 1/10, he gave away 1/10 * 30 = 3 cakes away to Jane. He has a total of 30 - 3 - 6 = 21 cakes left. 21/30 = 7/10, or 0.7, or 70% left.
Answer: 21/30
Explanation this is because 1/5of 30 is 6 and 10 percent of 30 is 3
6+3=9
30-9=21
Therefore Simon has 21/30 cakes left
I hope it helps
Need help ASAP, thanks
Answer:
1364
Step-by-step explanation:
use the calculator
Can I please get help with this?
m<TSU=85°
please see the attached picture for full solution
hope it helps..
Good luck on your assignment...
11 pens weigh 53.43 grams how many grams will 2 pens weigh
Answer:
9.72
Step-by-step explanation:
53.43/11 = 4.86
4.86*1 = 9.72
Answer:
2 pens will weigh about 9.7 grams.
Step-by-step explanation:
1. First, you divide 53.43 by 11 which gives you 4.85 grams (I used the first 2 digits.)
2. Since you know that 1 pen weighs about 4.85 grams, you multiply 4.85 by 2 to find the amount of grams for 2 pens. The answer is 9.7 grams.
Adult tickets to a concert sold at $8, while student tickets cost $5.
If 70 tickets were sold for a total of $440, how many adult tickets were sold?
40 tickets
30 tickets
55 tickets
15 tickets
The number of adult tickets sold was 30 tickets
The first step is to write out the parameters given in the question;
Adult ticket sold at the concert is at the price of $8
Student tickets sold cost $5
A total of 70 tickets were sold at $440
Therefore the number of adult tickets sold can be calculated as follows;
= 8(5)
= 40
70-40
= 30
Hence the number of adult tickets sold is 30 tickets
Link; https://brainly.com/question/16973073
If the mean of m, n, s, P and q is 12.
Calauate the mean of (m + 4), (n-3),(s+6)
(p-2) and (q+8).
Answer:
Step-by-step explanation:
We have,
Mean = Σx/n
or 12= (m+n+s+p+q)/5
or, m+n+s+p+q = 60 ...........(i)
Again,
New Mean = (m+4+n-3+s+6+p-2+q+8)/5 [∵ n = 5]
or, New Mean = {(m+n+s+p+q)+13}/5
or, New Mean = (60+13)/5 = 73/5 [from eq (i)]
∴ New Mean = 14.6 Ans.
Find the equation of the line. Use exact numbers. y=___x+___
Answer: y = -3/2x + 3
Step-by-step explanation:
The slope is -3/2 (down 3, right 2)
The slope goes before x in graph functions so it’s -3/2x
The line goes through 3 on the y-axis (vertical line), so that’s where + 3 comes in.
y = -3/2x + 3
What is the length of BC in the right below?
Answer:
B. 17
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
We have a and b, so:
8² + 15² = c²
c = √(8² + 15²)
c = 17
And we have our final answer!
Answer:
To find the length of BC we use Pythagoras theorem.
BC² = AB² + AC²
AB = 8 AC = 15
BC² = 8² + 15²
BC = √64 + 225
BC = √ 289
BC = 17
BC is 17
Hope this helps.
please answer all 3 percentages questions below
Answer:
a). 16% of £50
= 16/100 ×50
= 8
= £8
b). 44% of 781g
= 44/100 × 781
= 343.64
= 343.64g
c). 92% of 1050km
= 92/100 × 1050
= 996
= 996km
Hope this helps.
Can I get the awnser to this?
Answer: 17.8 yds
Step-by-step explanation:
The length of the arc of the ENTIRE circle is the circumference (C = 2πr).
We only want a 60° section of that circumference which is 60°/360° = 1/6 of the circumference.
The formula for length of an arc is: [tex]s=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)[/tex]
Given r = 17, θ = 60°
[tex]s=2\pi (17)\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =2\pi(17) \bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =\dfrac{17 \pi}{3}\\\\\\.\quad =\large\boxed{17.8}[/tex]
For the following geometric sequence find the explicit formula: {-1, 3, -9,...}
Answer:
[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = - 1 and r = 3 ÷ - 1 = - 3 , thus explicit formula is
[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]
find the sum 12x^2+3x+6
Answer:
[tex]3(8x ^{2} + x + 2)[/tex]
factor out 3 polynomial 8xsqurd +x+2 not factored as it doesn't have any rational roots
Answer:
This cannot be simplified any further.
Step-by-step explanation:
Josie is a travel agent who loves to analyze data about the vacation destinations she books for her clients. She believes that the
more she knows about a destination, the better she can educate and prepare her clients to get the most enjoyment out of
their trips. She's recently been investigating the climate of Paradise Island, where one of her biggest clients, Jack, is planning to
visit. Her research of the temperature history of Paradise Island is vital to Jack's travel plans, as he has an ideal temperature
that he prefers for vacationing. In this task, you'll use technology and regression techniques to help Josie plan Jack's ideal
vacation to Paradise Island.
Part A
Josie has collected data that shows the average daily high temperature for several months over the last year. In her table
of data, month 1 can be interpreted as January, month 2 as February, and so on.
Month, x
Average Daily High Temperature, y
(°F)
50
56
1
2
3
67
5
84
6
89
7
98
92
84
9
10
12
58
button to insert a screenshot of your scatter plot in the
Answer:
The scatter plot for the data is attached below.
Step-by-step explanation:
The data collected by Joise for the average daily high temperature for several months over the last year is as follows:
Month X Average Daily High Temperature, Y (°F)
January 1 50
February 2 56
March 3 67
May 5 84
June 6 89
July 7 98
September 9 92
October 10 84
December 12 58
The scatter plot for the data is attached below.
please answer very quickly
Answer:
ABD
Step-by-step explanation:
Which system of inequalities is shown in the graph
please see the attached picture for full solution..
Hope it helps..
Good luck on your assignment..