Answer:
... you add the exponents
Step-by-step explanation:
An exponent is a way of showing repeated multiplication. For example, ...
x^2 means x·x
and
x^3 means x·x·x
If we multiply these two expressions together, we get ...
(x^2)·(x^3) = (x·x)·(x·x·x) = x·x·x·x·x
This is a product in which x appears as a factor 5 times, so we can write it using an exponent as ...
x·x·x·x·x = x^5
___
That is, when we multiply the expressions, we add the numbers of times the factor appears in the product:
2 + 3 = 5
x^2 · x^3 = x^(2+3) = x^5
Answer: Add
Step-by-step explanation: When you multiply expression with the same base you ADD the exponents. The exponent tells you how many times you multiply the base by itself. This means the exponent corresponds to the amount of base replications. If you add the exponents you are adding the replications of the base.
A football stadium holds 52,000 fans. A college student is doing research and determines that on any given game day, the home team has five times as many fans as the visiting team. In order to help the student in his research, he represents the number of home team tickets as H and the visiting team’s tickets as V.
Which system of equations does the college student use to determine how many tickets each team gets?
Answer:
Option d
Step-by-step explanation:
We know that 52,000 fans can fit into the stadium.
Then the amount of tickets that can be sold must equal 52,000.
If we call H the number of tickets for the home team and call V the number of tickets for the visiting team, then:
[tex]H + V = 52,000[/tex]
Then, we know that the local team has 5 times more fans than the visiting team. So we can write that:
[tex]H = 5V\\H-5V = 0[/tex]
Finally, the system of equations sought is:
[tex]H - 5V = 0\\H + V = 52 000[/tex]
FIND THE DEGREE MEASURE OF ANGLE DPR.
[tex]\widehat{DPR}=\frac{1}{2}(\stackrel\frown{ET}-\stackrel\frown{DR}) = \frac{1}{2} (118 - 26) = \frac{92}{2} = 46°[/tex]
Simplify the given equation. please don't solve for x! it says SIMPLIFY!
17x - 6 + 3x - 5 = x + 11 + 4x
Answer:
x= 22/15
Step-by-step explanation:
20x-11=5x+11
20x-5x=11+11
15x=22
What is the inequality for this verbal description?
The value of y is greater than the sum of negative eight times the value of x and nine
Answer:
B
Step-by-step explanation:
We can see Part by Part to get this question.
"The value of y is greater than.." -- this part implies y >"The sum of negative 8 times x and 9" -- we need to multiply -8 and x and SUM it to 9. thus we have:-8*x + 9
Now we can finally write:
y > -8x + 9
Answer choice B is right.
Ben missed math class because he was sick. He has 10 math problems he needs to complete for homework and submit by 4pm. Ben does not know how to solve the math problems and does not want to get a bad grade. How can Ben use his self advocacy skills to help himself?
Answer: Ben could ask his peers or a trusted adult for help, or Ben could use reliable sources to help him with any questions he might have. Ben could also try his best, if he doesn't get a good grade at least he doesn't have a missing assignment.
Step-by-step explanation:
Compute the greatest prime factor of 9951
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷The greatest prime factor is 9951 is 107.
You divide 9951 by 3, and you get 3317.
You divide 3317 by 31 (which is a prime number), and you get 107, which is also a prime number.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
The landscaper charges a rate of $40 per hour to plant trees.Amelia paid a total of $725 for the trees and for the landscaper to plant them. How many hours did it take the land scaper to plant the trees?
23.5 hours is the anser yeteressdfdsfsjufrhhmrgijfjfxkjvnrtjeigrjiegre
What is the value of x?
Answer:
x = 35
Step-by-step explanation:
Since they are vertical angles, the angles are congruent and therefore you can set them equal to each other.
4x + 20 = 3x + 55
Have x on one side of the equation by subtracting 3x from both sides.
x + 20 = 55
Subtract 20 from both sides of the equation.
x = 35
Graph the following equation
[tex]f(x) = \frac{(2x+3)(x-6)}{(x+2)(x-1)}[/tex]
If you can. Also, what is the Oblique Asymptote.
Answer:
Graphic attached
Step-by-step explanation:
The oblique asymptote of the function has the shape of a line of the form
[tex]y = mx + b[/tex]
We need to find the slope m and the intercept b.
The oblique asymptote is found by these two limits:
[tex]m = \lim_{x \to \infty}\frac{f(x)}{x}\\\\b = \lim_{x \to \infty}[f(x) - mx][/tex]
If [tex]f(x) = \frac{(2x+3)(x-6)}{(x+2)(x-1)}[/tex] then:
[tex]m = \lim_{x \to \infty} \frac{\frac{(2x+3)(x-6)}{(x+2)(x-1)}}{x}\\\\m = \lim_{x \to \infty} \frac{2x^2-9x-18}{x^3 +x^2 -2x}\\\\m = 0[/tex]
The slope is 0. Therefore the function has no oblique asymptote.
Horizontal asymptote:
[tex]y = 2[/tex]
Vertical asymptote
[tex]x = -2\\x = 1[/tex]
20 PTS!!!! What is the probability that a randomly selected person is on the swim team? Express the probability as a percent rounded to the nearest tenth of a percent. Enter your answer in the box.
There are 67 total people and 28 people on the swim team.
The probability of picking someone on the swim team would be 28/67 which is equal to 41.8%
Answer:
The probability that a randomly selected person is on the swim team is 41.79%
Step-by-step explanation:
ProbabilityProbability means possibility of occurrence. It is a branch of mathematics which deals with the occurrence of particular event out of total random events.The favorable event will be 28
The total no of event will be 67
So The probability will be = [tex]\frac{no of favorable events}{Total no of event}[/tex]
= [tex]\frac{28}{67}[/tex]
= 41.79%
Thus the probability that a randomly selected person is on the swim team is 41.79% .
To know more about the Probability click here.
https://brainly.com/question/24756209
#SPJ2
(Q5) Decide if the function is an exponential function. If it is, state the initial value and the base. y=3.1^x
Answer:
D
Step-by-step explanation:
Exponential equation takes the form [tex]y=ab^x[/tex] where
a is the initial value ( a ≠ 0), and
b is the base ( b ≠ 1)
The equation given can be written as [tex]y=3.1^x\\y=1*3.1^x[/tex]. Thus, it is an exponential equation.
So a = 1 and b = 3.1
Thus we can say that the initial value = 1 and the base is 3.3
Find the area of the parallelogram. HELP ASAP!!
Answer:
A) 300 cm2
Step-by-step explanation:
First you have to find height
use Pythagorean theorem: a2 + b2 = c2
[tex]h^{2}+ 8^{2} = 17^{2}[/tex]
h2 + 64 =289
h2 = 289-64
h2 = 225
h= 15
now the area
A = a * h
A = 20 * 15
A = 300 cm2
Answer:
[tex]\large\boxed{A=300\ cm^2}[/tex]
Step-by-step explanation:
The formula of an area of a parallelogram:
[tex]A=bh[/tex]
b - base
h - height
Use the Pythagorean theorem to calculate a height h:
[tex]h^2+8^2=17^2[/tex]
[tex]h^2+64=289[/tex] subtract 64 from both sides
[tex]h^2=225\to h=\sqrt{225}\\\\h=15\ cm[/tex]
Calculate the area:
[tex]A=(20)(15)=300[/tex]
jamal feeds 14.4 pounds of dog food to the 24 dogs at a shelter. each dog gets the same amount of food. six of the dogs eat only 0.4 pound of food each. how much food is left in the bowls of these six dogs in all?
A . 0.2lbs
B. 0.6lbs
C. 1.2lbs
D. 12lbs
Answer:
1.2 pounds
Step-by-step explanation:
As mentioned in the question,
14.4 pounds of foods is distributed among 24 dogs.
Therefore, each dog gets: [tex]\frac{14.4 (pounds)}{24} = 0.6 pounds[/tex]
6 dogs eat only 0.4 pounds, so the amount left: ( 0.6 - 0.4 ) = 0.2 pounds
Hence, the total food left in the bowls of six dogs = 6 * 0.2 = 1.2 pounds
a pipe cleaner 20cm long. it is bent into a rectangle. use a quadratic model to calculate the dimensions that give the maximum area.
Answer:
5 cm by 5 cm
Step-by-step explanation:
The perimeter of this rectangle is 20 cm, and the relevant formula is
P = 20 cm = 2W + 2L. Then W + L = 10 cm, or W = (10 cm) - L.
The area of the rectangle is A = L·W, and is to be maximized. Subbing (10 cm) - L for W, we get A = L[ (10 cm) - L ], or A = 10L - L²
Note that this is the equation of a parabola that opens down. With coefficients a = -1, b = 10 and C = 0, we find that the x-coordinate of the vertex (which is the x-coordinate of the maximum as well) is
x = -b / (2a). Subbing 10 for b and -1 for a, we get:
x = -[10] / [2·(-1)] = 10/2, or 5.
This tells us that one dimension of the rectangle is 5 cm.
Since P = 20 cm = 2L + 2W, and if we let L = 5 cm, we get:
20 cm = 2(5 cm) + 2W, or
10 cm = W + 5 cm, or W = 5 cm.
Thus, choosing L = 5 cm and W = 5 cm results in a square, which in turn leads to the rectangle having the maximum possible area.
The dimensions that give the maximum area is 5 cm by 5 cm.
Given:
The perimeter of this rectangle is 20 cm, and formula for perimeter is
P= 2(W+L)
P = 20 cm = 2W + 2L.
Then W + L = 10 cm,
or W = (10 cm) - L.
The area of the rectangle is A = L·W, and is to be maximized.
On substituting the values, we get A = L[ (10 cm) - L ], or A = 10L - L²
Note that this is the equation of a parabola that opens down. With coefficients a = -1, b = 10 and C = 0, we find that the x-coordinate of the vertex (which is the x-coordinate of the maximum as well) is
x = -b / (2a). Subbing 10 for b and -1 for a, we get:
x = -[10] / [2·(-1)] = 10/2, or 5.
This tells us that one dimension of the rectangle is 5 cm.
Since P = 20 cm = 2L + 2W, and if we let L = 5 cm, we get:
20 cm = 2(5 cm) + 2W, or
10 cm = W + 5 cm, or W = 5 cm.
Therefore, choosing L = 5 cm and W = 5 cm results in a square, which in turn leads to the rectangle having the maximum possible area.
Learn more:
brainly.com/question/24639460
A printer 8s typesetting a book and he needs pn piece of type for each digit in the page number of the book and each piece of type can be used only once for example page 3 and page 33 will require 3 piece of type how many twos will he need to number pages 1 through 232?
Answer:
Step-by-step explanation:
Linda has a bag of marbles. She chooses a marble from the bag, writes down the color, and places the marble back in the bag. She repeats this process 130 times. Linda calculates the relative frequency of each color marble. Outcome Orange Green Black Yellow Blue Relative frequency 0.18 0.20 0.19 0.22 0.21 Which statement about Linda's experiment is true? The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Linda's experiment. The outcomes appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Linda's experiment. The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Linda's experiment. The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Linda's experiment.
Answer:
this is the correct answer 100% correct dont forget to friend request me bye
Step-by-step explanation:
There were 4 apple trees planted and 3 pecan trees. 2 peach trees for 3 pecan trees. If there 24 peach trees, how many apple trees would you have?
➷ 4 : 3
? : 3 : 2
The overall ratio is:
4 : 3 : 2 for apple trees to pecan trees, to peach trees.
24/2 = 12
12 x 4 = 48
There would be 48 apple trees.
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
The ratio of any number should be taken in its simplest form only. If there were 24 peach trees, then 48 apple trees you would have.
If 4 apple trees are planted then 3 pecan trees are planted.
If 2 peach trees are planted then 3 pecan trees are planted.
Therefore, the ratio will be:
Apple Trees Pecan Trees
4 3
Peach Trees Pecan Trees
2 3
Thus, the ratio is 4:3:2.
Two values are equal to 24 peach trees.
One value is equal to the 12 trees.
The value of an apple is 4, therefore the number of apple trees will be 48 trees.
To know more about the ratio, please refer to the link:
https://brainly.com/question/25326254
Mark needs 2 3/4 cups of sugar to make cookies he has 1 7/8 cups of sugar how much more sugar does mark need
so, we have the denominators of 4 and 8, thus our LCD will just be 8, but let's firstly convert the mixed fractions to improper fractions and find their difference.
[tex]\bf \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}}~\hfill \stackrel{mixed}{1\frac{7}{8}}\implies \cfrac{1\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{15}{8}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{11}{4}-\cfrac{15}{8}\implies \stackrel{\textit{using LCD of 8}}{\cfrac{(2)11~~-~~(1)15}{8}}\implies \cfrac{22-15}{8}\implies \cfrac{7}{8}[/tex]
How many ways can 8 players be chosen from 10 players
(Q4) Which values of a and b in the exponential function y = a (bx) would result in the following graph?
Answer: second option.
Step-by-step explanation:
By definition, you know that:
[tex]b^0=1[/tex]
You can see in the graph that the interception with the y-axis is at -1.
Therefore, in that point: x=0 and y=-2
Substitute into the function and solve for a:
[tex]-1=a(b)^0\\-1=a(1)\\a=-1[/tex]
Now, choose any point of the function and substitute this point and the value of a into the function and solve for b. Then you obtain:
Point (2,-4)
[tex]-4=-1(b)^2\\\frac{-4}{-1}=b^2\\b=\sqrt{4}\\b=2[/tex]
Answer:
Its B
Step-by-step explanation:
Because it is
On edge
John wrote 1/5 of a paper in 1/4 of an hour how long did it take him to write an entire paper?\
Answer:
[tex]1\frac{1}{4}\ hours[/tex]
Step-by-step explanation:
we know that
using proportion
[tex]\frac{(1/4)}{(1/5)}\frac{hour}{paper}=\frac{x}{1}\frac{hour}{paper} \\ \\x=5/4\ hours[/tex]
covert to mixed number
[tex]5/4\ hours=1\frac{1}{4}\ hours[/tex]
A rectangular fish pond is 21 ft2 in area. If the owner can surround the pond with a 20-foot fence, what are the dimensions of the pond?
3.5 ft by 6 ft
4 ft by 6 ft
3 ft by 7 ft
3.5 ft by 7 ft
Answer:
3 ft by 7 ft
Step-by-step explanation:
Try the solutions and find the one that works.
3.5 × 6 — area OK, perimeter = 19 ft
4 × 6 — area = 24 ft², perimeter OK
3 × 7 — area OK, perimeter OK
3.5 × 7 — area 24.5 ft², perimeter 21 ft
___
The perimeter is the sum of the four side lengths; the area is the product of two adjacent side lengths.
ABC paint company needs to paint the outside of the building shown. They will also need to paint the roof. What is the surface area that needs to be painted?
3,100 ft 2
4,600 ft 2
4,100 ft 2
4,300 ft 2
see image
Answer:
3100ft
Step-by-step explanation:
There are 2 sides to the prism that have an area of 50ft * 10ft or 500ft. The total of those will be 500ft * 2 or 1000ft. There are 2 more sides to the prism that have an area of 30ft * 10ft or 300ft. The total would be 300ft * 2 or 600ft. Then the last two sides to the prism have an area of 50ft * 30ft or 1500ft. Since we're imagining this prism to be a house, you can't paint the floor (well, I guess you could but I think they want us to leave that part out because you can't pick the house up to paint the bottom that would be ridiculous). So the surface area is each area added, or 1000ft + 600ft + 1500ft = 3100ft.
Answer:
3,100 ft^2
Step-by-step explanation:
Please help with this question! Thanks!! I will mark brainliest if it lets me!
Answer:
[tex]\large\boxed{D)\ y=\dfrac{1}{5}x+5}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we have the y-intercept (0, 5) ⇒ b = 5
and the other point (5, 6).
Put the coordinates of the point to the formula of a slope:
[tex]m=\dfrac{6-5}{5-0}=\dfrac{1}{5}[/tex]
Finally we have the equation:
[tex]y=\dfrac{1}{5}x+5[/tex]
Which pay is equivalent to 16 $ per hour A) 48 for 3 hours B)120 for 12 hours C) 60 for 5 hours D) 96 for 9 hours
Answer:
The answer is A. 48 divided by 3 equals 16. Therefore, if you earn $48 for 3 hours, then you are earning $16 per hour.
Step-by-step explanation:
Hey there!
The correct answer is A. $48 for 3 hours
I figured this out by multiplying 16 by 3 which equals 48
Hope this helps you!
God bless ❤️
xXxGolferGirlxXx
graphing a line given its slope and y-intercept
graph the line - 3 / 2 and y-intercept -2
the fraction is negative
Answer:
see below for a graph
Step-by-step explanation:
One point can be plotted at the y-intercept: (0, -2). Since the slope tells you the line drops 3 units for each 2 units to the right, the point (2, -5) will be another point on the line. The graph will go through those two points.
The circumference of a circular rug is 24.8 meters. What is the area of the rug? Use 3.1 for pi
Answer:
49.6 square meters
Step-by-step explanation:
first, circumference is 2*pi*r, so we want to find r. so we take 2*pi*r=24.8 and solve for r which is 4.
Now, area is pi*r^2 so pi*4^2 = pi*16 = 49.6
A circle has a radius of 4/9 units and is centered at (-6.2,5.8). Write an equation of this circle
Answer:
[tex](x+6.2)^2 + (y-5.8)^2 = \frac{16}{81}[/tex]
Step-by-step explanation:
The vertex form of the equation of a circle is [tex](x-h)^2 + (y-k)^2 = r^2[/tex] where (h,k) is the center of the circle and r is the radius. This circle has center (-6.2, 5.8) and r= 4/9. Substitute h = -6.2, k = 5.8 and r = 4/9 into the vertex form. Then simplify for the equation.
[tex](x-h)^2 + (y-k)^2 = r^2\\(x--6.2)^2 + (y-5.8)^2 = \frac{4}{9}^2\\ (x+6.2)^2 + (y-5.8)^2 = \frac{16}{81}[/tex]
Which of the following equations represents a line that is paraellel to Y=5x-4 and passes through the point (3, 4)?
A. Y=5x-7
B. Y=5x+19
C. Y=-1/5x-4
D. Y=5x-11
choice D is the correct solution
PARALLEL slopes always have the same slope no matter what because they are parallel
The equation of the line that is parallel to y = 5x-4 and passes through the point (3, 4) is y = 5x - 11 because it has the same slope, 5, as the given line depicting parallelism and it passes through the specified point.
Explanation:In Mathematics, two lines are parallel if their slopes are equal. In this case, the given line is y = 5x - 4, and its slope is 5. To find an equation of a line that is parallel to this line and passes through a specific point, we use the point-slope form of a line, which is y - y1 = m(x - x1), where m is the slope, and (x1, y1) is the point through which the line passes.
Replace m with 5 (the slope of the given line), and (x1, y1) with (3, 4) (the point through which the line passes), and we have y - 4 = 5(x - 3). Distributing and simplifying, we get y = 5x - 15 + 4 = 5x -11. Therefore, the equation of the line that is parallel to y = 5x - 4 and passes through the point (3, 4) is y = 5x - 11.
Learn more about Parallel Lines here:https://brainly.com/question/29762825
#SPJ2
Use the table of values below to select the correct statement.
A.
The function f is linear and is growing by equal differences over equal intervals. The growth rate is 6.
B.
The function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245%.
C.
The function f is exponential and is growing by equal factors over equal intervals. The growth factor is 600%.
D.
The function f is linear and is growing by equal differences over equal intervals. The growth rate is 3.5.
Answer:
do u know the answer??
i think it is The function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245%.
Step-by-step explanation:
The function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245% option (B) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x
where a is a constant and a>1
We have a table in which the x, and f(x) data are shown.
As we can see the value of f(x) is increasing rapidly for every x.
The exponential function is:
y = a(1+r)×
After plugging all points and finding the value of a and r
y = 6.9402(2.4495)×
The exponential growth factor = 1 + r = 2.4495 ≈ 2.45 or 245%
Thus, the function f is exponential and is growing by equal factors over equal intervals. The growth factor is 245% option (B) is correct.
Learn more about the exponential function here:
brainly.com/question/11487261
#SPJ5