The value of s after calculation will be s=-1
What will be the value of s?It is given that
startfraction 1 over 64 endfraction = 4 superscript 2 s minus 1 baseline times 16 superscript 2 s 2
So the mathematical form will be
[tex]\dfrac{1}{64} =4^{2s-1} \times 16^{2s+2}[/tex]
[tex]4^{-3} =4^{2s-1} \times 16^{2s+2}[/tex]
[tex]4^{-3} =4^{2s-1} \times 4^{2(2s+2)[/tex]
[tex]4^{-3} =4^{2s-1+2(2s+2)[/tex]
[tex]4^{-3} =4^{2s-1+2(2s+2)[/tex]
[tex]-3=2s-1+2(2s+2)[/tex]
[tex]-3=2s-1+4s+4[/tex]
[tex]-3=6s+3[/tex]
[tex]-6=6s[/tex]
[tex]s=-1[/tex]
Thus the value of s after calculation will be s=-1
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Answer:-1 is the answer
Step-by-step explanation:
An amount of $24,000 is borrowed for 7 years at 8.75% interest, compounded annually. If the loan is paid in full at the end of that period, how m
paid back?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
43173
Step-by-step explanation:
24000(1.0875)^7 = 43173.39
Hello I need help on this math question
BRAINLIEST For the fastest correct answer
Lateral Area = 37.68 in squared
Total surface area =
Answer:
94.2 in squared
Step-by-step explanation:
lateral area plus area of both flat sides
37.68 + 2(3.14*3^2)
37.68 + 56.52 = 94.2 in squared
Select the correct answer. Consider the function f(x) = 10x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)? A. The graph of g(x) is the graph of f(x) shifted up by a factor of . B. The graph of g(x) is the graph of f(x) compressed vertically by a factor of . C. The graph of g(x) is the graph of f(x) stretched vertically by a factor of . D. The graph of g(x) is the graph of f(x) shifted to the right by a factor of .
Answer:
most likely 43
Step-by-step explanation:
fr.
Which equation represents a linear function?
Answer:
D)y=1/4x
Step-by-step explanation:
Its the only answer that is a straight line
Answer:
(D) y = 1/4x
Step-by-step explanation:
(A) is incorrect because that is an absolute value function. This causes the graph to look like a sharp "v".
(B) is incorrect because that is an exponential function. This is because the "x" is raised to the second power. The graph would resemble a "u".
(C) is incorrect because that is an exponential function. This is because the "x" is raised to the third power. The graph would resemble a "u".
(D) is correct because the "x" is only raised to the first power. The base equation for a linear function is y = mx + b. The graph would resemble a straight line.
You want to donate half of the earnings from your yard sale to a community center, and put the other half in your savings account. If your account already has $34 in it, and you hope to have more than $90, how much do you need to earn at your yard sale?
Answer:
$56 or $112(this question can mean two different things).
Step-by-step explanation:
If this is correct mark brainly to let me know tyy C:
what is the factored form of x^2-x-2
Answer:
(x-2),(x+1)
Step-by-step explanation:
What is the following quotient? startfraction 2 over startroot 13 endroot startroot 11 endroot endfraction startroot 13 endroot minus 2 startroot 11 endroot startfraction startroot 13 endroot startroot 11 endroot over 6 endfraction startfraction startroot 13 endroot startroot 11 endroot over 12 endfraction startroot 13 endroot minus startroot 11 endroot
A quotient is a quantity that is obtained by dividing two integers. The quotient of the division [tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex] is (√13-√11).
What is a quotient?A quotient is a quantity that is obtained by dividing two integers. The quotient is a term that is widely used in mathematics to refer to the integer component of a division, as well as a fraction or a ratio.
In order to find the quotient of the fraction, we need to take the rationalise of the fraction.
[tex]\dfrac{2}{\sqrt{13}+\sqrt{11}} \\\\\\ =\dfrac{2}{\sqrt{13}+\sqrt{11}} \times \dfrac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}\\\\\\= \dfrac{2(\sqrt{13}-\sqrt{11})}{(\sqrt{13})^2-(\sqrt{11})^2}\\\\\\= \dfrac{2(\sqrt{13}-\sqrt{11})}{2}\\\\=(\sqrt{13}-\sqrt{11})[/tex]
Hence, the quotient of the division [tex]\dfrac{2}{\sqrt{13}+\sqrt{11}}[/tex] is (√13-√11).
Learn more about Quotient:
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Answer:
D.) StartRoot 13 EndRoot minus StartRoot 11 EndRoot
Step-by-step explanation:
on edge took the test .
Harley and Natalie are each given 2 1/3 kg of clay Harley makes as many balls of clay as he can from his clay. Each ball weighs 1/6 kg. Natalie makes ten more clay balls than Harley (each weighing the same).
If Natalie used up all her clay, how much does each of her clay balls weigh?
Solution:
Note that:
One ball made by Harley = 1/6 kgEach student was given 2 1/3 kg of clayNatalie made 10 more balls (same weight) than Harley.Solving for how much balls made by Harley.
7/3 ÷ 1/6=> 7/3 x 6=> 7 x 2=> 14 balls.Solving for how much balls made by Natalie.
14 + 10 => 24 ballsFinding out the weight of each ball made by Natalie.
7/3 ÷ x = 24=> 7/3 × 1/x = 24=> 7/3x = 24=> 7 = 72x=> x = 7/72 kgNatalie's balls weigh about 7/72 kg.
Jess is having a private party at the bowling alley. The party costs $99 plus $3 per person who attends. Which expression can Jess use to figure out the total amount of money she owes at the end of the party?
EXPLAIN YOUR ANSWER
33x
33+x
99+3x
99x+3
Answer:
99+3x
Step-by-step explanation:
99+3x completely shows the party's situation. $99 for the party itself "plus" $3 for everyother person who attends. A. 33x forgets the 99 dollars for the party, B. does the same except it adds the x variable, D is inccorect becuase it multiplies the other guest by 99 but they should be multiplied by 3.
I hope this helps! If so pleas emark brainliest and rate<33
Answer:
99+3x
Step-by-step explanation:
Given the following:
The party costs $99 plus $3 per person who attends.To Solve:
⇒ Which expression can Jess use to figure out the total amount of money she owes at the end of the party?
Solution:
Since, we don't know the total amount of money she owes at the end of the party. Total amount of money she owes at the end of the party = x
Hence, $99 plus $3 (x)
Which equal
99+3x
Also, 33x, 33 + x, and 99x+3 didn't clearly shows the party's situation given. Hence, the Best Answer is 99+3x
You can also refer to the picture below
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Can someone help me with this question? I’ll mark you brainliest if you answer!!!
100POINTS!!!!!!!!
Select the correct answer.
What is the domain of the function shown on the graph?
Answer:
for the answer to your question dear friend it is c
Step-by-step explanation:
i hope this helps dear friend!
Can someone help me with this question? I’ll mark you brainliest!!!
A. Use the center of rotation point C and roatate point P clockwise around it 90°. The image is P'.
What is the coordinate of P'?
P'=( _ , _ )
B. With center of rotation point C and roatate point P' clockwise around it 90°. The image is P''.
What is the coordinate of P''?
P''=( _ , _ )
Answer:
A. P' = (9, -2)
B. P" = (1, -4)
Step-by-step explanation:
To make it easier to understand, make point C the origin (0 , 0). From that, you will notice point P is 3 units right and 5 units up of point C, meaning the coordinates of point P is (3, 5). A 90° rotation clockwise on point P (3, 5) is (5, -3). Since point C is 4 units right and 1 unit up from the actual origin, we will add that to (5,-3); (5 + 4, -3 + 1) = (9, -2). Therefore, P' = (9, -2).
Knowing the coordinates of P' allows us to figure out the coordinates of P''. Once again, we'll make point C the origin, meaning P' would be at (5, -3). Like we did before, we will perform a 90° rotation clockwise of (5, -3) to get (-3, -5). Lastly, add back the appropriate amount of units to (-3, -5) to make point C the center of rotation in this example; (-3 + 4, -5 + 1) = (1, -4). Therefore, P" = (1, -4).
Please note that this is only my method of solving translations. Please consult more official sources if you want to learn more. Other than that, I hope this helps!
URGENT!! WILL MAKE BRAINLIEST!! Enter your answer and show all the steps that you use to solve this problem and write your final answer in factored form in the space provided.
Simplify: (9x^3+2x^2-5x+4)-(5x3-7x+4)
Answer:
7x ( 103 - 1 )
Step-by-step explanation:
9x^3 + 2x^2 - 5x + 4 - 5 x 3 - 7x + 4
729x + 4x - 5x + 4 - 15 - 7x + 4
729x - 5x - 7x + 4x + 4 + 4 - 15
721x - 7
7x ( 103 - 1 )
Mrs. Adesso wants to take her class on a trip to either the science center or the natural history museum. The science center charges $7 per student, plus $75 for a guided tour. The natural history museum charges $8 per student, plus $50 for a guided tour. For what number of students is the cost of the trip the same at each museum?
Answer:
25
Step-by-step explanation:
see picture for work!
Describe a system of equations that has infinitely many solutions.
Linear equations
Answer:
when the lines are coincident, and they have the same y-intercept
Step-by-step explanation:
A real estate builder wishes to determine how house size (House) is influenced by family income (Income), family size (Size), and education of the head of household (School). House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is in years. The builder randomly selected 50 families and ran the multiple regression. The business literature involving human capital shows that education influences an individual’s annual income. Combined, these may influence family size. With this in mind, what should the real estate builder be particularly concerned with when analyzing the multiple regression model?
When analyzing the multiple regression model, the real estate builder should be concerned with Multicollinearity.
What is Multicollinearity?This is a phenomenon in regression analysis where some of the independent variables are correlated. This can present an issue because the correlation leads to less reliable results.
The income in this research is influenced by the education and they both influence family size. There is therefore an issue of multicollinearity here because some variables are correlated.
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-10x-2y=16 What is the slope intercept form of that?
Answer:
The slope is 5 and the slope or y intercept is 8 and the equation is y = -5x + 8.
Step-by-step explanation:
Turn it into -2y = 10x + 16
Then divide by -2
y=-5x+8
The slope is 5 and the slope or y intercept is 8 and the equation is y = -5x + 8.
Answer: y = 5x + 8
Step-by-step explanation:
-10x - 2y = 16 —> add 10x to each side
2y = 16 - (-10x) —> add the opposite & flip the numbers so the variable is closest to the equal sign
2y = 10x + 16 —> divide 2 by each side
y = 10x/2 + 16/2 —> simplify
y = 5x + 8
HELP NEED ANSWER ASAP!!!!!!!! 100 PTS AND MARK THE BRAINILEST
In the figure shown, L is the center of the circle and PQ is a chord of the circle measuring 20 cm.
What is the length, in cm, of PL? Round to the nearest hundredth digit.
Show me:
(a) length of segment PM (1 point)
(b) what circle property did you use to find the length of PM (1 point)
(c) what formula/theorem did you use to calculate the length of segment PL (1 point)
(d) all math used to calculate the length of segment PL (1 point)
Round your answer to the nearest hundredth digit.
Hence, section PL measures about 18.03 cm in length (rounded to the nearest hundredth digit).
what is length ?The length of a one-dimensional object, such as a line, curve, or straight segment, is measured by the fundamental physical quantity known as length. It is a way to gauge the separation between two points or the size of an object along a specific axis. The International System of Units (SI) uses metres as the unit of length (m). One of the most important ideas in geometry is length, which is used to describe the characteristics of geometric forms and shapes. For instance, the length of a circle is the distance around its circumference, whereas the length of a line segment is the distance between its endpoints.
given
(A) We must first determine the length of chord PQ in order to determine the length of segment PM. Since LM is the perpendicular bisector of PQ in the figure, PM is equal to MQ. PQ's length is 20 cm, so PM and MQ's lengths are each 50 percent of that, or:
PM=MQ=20/2=10 cm
Sqrt(PM2 + LM2) = PL
(d) When we enter the values from parts (a) and (c), we obtain:
Sqrt(10 + 15) = PL
Sqrt(100 + 225) = PL
Sqrt = PL (325)
PL ≈ 18.03 cm
Hence, section PL measures about 18.03 cm in length (rounded to the nearest hundredth digit).
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What is the total cost of a $19. 98 item plus 7 percent sales tax
Answer:
Sales tax: $1.40
Step-by-step explanation:
did it on edge
Jasmine bought a 4 kg block for modeling clay she wants to divide it into eight equal blocks what will the mass of each block in grams
Answer:
The mass of each block is 500 grams.
Step-by-step explanation:
4 kg = 4000 grams
Now we divide,
4000 / 8 = 500
Our final answer should be 500.
Grace works as a salesperson at an electronics store and sells phones and phone accessories, and makes a fixed commission for each phone sale and a different fixed commission for each accessory sale. Yesterday Grace sold 18 phones and 21 accessories and made a total commission of $204. Today she sold 6 phones and 14 accessories and made a total commission of $82. Determine the price of each phone and the price of each accessory.
Answer:
phones = $9
accessories = $2
explanation:
x=phones
y=accessories
18x+21y=204
6x+14y=82
please help me out !
Answer:
NO
Step-by-step explanation:
Try the offered solution to see if it works
y = 1/2x -7 . . . . for (x, y) = (-4, -5)
-5 = 1/2(-4) -7 = -2 -7
-5 = -9 . . . . . . false
The point does not satisfy the function. (NO)
Gabriel is building a flower box for his garden. He is building a cube
without a top so that he can fill it with soil. He needs to calculate
the surface area to determine how much wood he needs. The
length of the box is 3 feet.
Which expression will give him the surface area?
O 3x3x6
O 3x3x3
O 3x3x5
O 3+3+3
Answer: 3*3*5 because each square is 3 by 3 and there are 5 faces which you need wood on -> there is no top face.
a bag contains 3 green marbles, 5 blue marbles, and 8 red marbles and you ask a friend to pick one without looking. what if the probability that the marbles will be green?
Answer:
3/16, 18.75%, or 0.1875
Step-by-step explanation:
Add the colored marbles to find the total number of marbles:
3 + 5 + 8 = 16 marbles
We know there are 3 green marbles, so that will be our numerator for the fraction.
[tex]\frac{3}{16}[/tex] is our answer. We can convert this into a percentage:
[tex]\frac{18.75}{100}[/tex][tex]=[/tex] 18.75%
Now, as a decimal:
0.1875
Solve the proportion. i need help.
x+3/6=8/3
x=?
Answer:
x = 2 1/6 (13/6)
Step-by-step explanation:
to solve the proportion you must first find the LCF or least common factor
that is 6
so turn 8/3 into 16/6 by multiplying it by 2/2
x + 3/6 = 16/6
then you subtract 3/6 from both sides
x = 13/6
x is 2 1/6
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What is the value of 1/2 (4)
Answer:
2
Step-by-step explanation:
We are being asked to multiply the fraction 1/2 * 4
1/2 *4
4/2
Simplify by dividing the top and bottom by 2
2/1
2
20. What is the greatest prime factor of 3^7+6^6 ?
Answer:
67
Step-by-step explanation:
3^7 = 2187
6^6 = 46656
46656+2187=48843
Prime factors of 48843: 3, 3, 3, 3, 3, 3, 67
Factor tree:
48843
| \
16281 3
| \
5427 3
| \
1809 3
| \
603 3
| \
201 3
| \
67 3
Marissa walks the neighbor’s dogs every afternoon after school. She charges a flat fee of $15.00 per week plus $4.00 per hour. If she walks the dogs for a total of 5 hours in one week, what is the total amount that she earns for that week?
Answer:
$35
Step-by-step explanation:
15 dollar per week plus 5 x 4 is 15+20 dollars or 35 dollars.
(20 points, please help!) Using the diagram, what are the measures of angles 1, 2 and 3?
Answer:
angle 1 = 50°
angle 2 = 70°
angle 3 = 50°
Step-by-step explanation:
We know the top triangle equals 180 degrees.
angle 1 + 60 + 70 = 180
angle 1 + 130 = 180
angle 1 = 50
Because of parallel lines, we know that opposite angles will be equal.
What I mean by this is that angle 1 = angle 3 and angle 2 = 70 degrees.
angle 1 = 50°
angle 2 = 70°
angle 3 = 50°
Help if you understand please and thanks
Answer:
-4
Step-by-step explanation:
3 is greater than or equal to 2 and less than 6
you are looking for the statement that is correct when subbing in 3 for x