Answer:
[tex]5^6 = 125 * 125[/tex]
Step-by-step explanation:
The given expression can be represented as:.5⁶
Required
Find equivalent expression
[tex]5^6[/tex]
Express 6 as 3 + 3
[tex]5^6 = 5^{3+3}[/tex]
Apply the following law of indices
[tex]a^{m+n} = a^m * a^n[/tex]
So, we have:
[tex]5^6 = 5^{3} * 5^{3}[/tex]
Express [tex]5^3[/tex] as 125
[tex]5^6 = 125 * 125[/tex]
Hence, option (b) is equivalent
Answer: 125.125
hope this helps :}
What is the volume of the rectangular prism?
Answer:
189 yards cubed, hope this helped! :D
Step-by-step explanation:
Solve for 9x-3-8x=7-x
Answer:
5
Step-by-step explanation:
9x - 3 - 8x = 7 - x
9x - 3 - 8x + x = 7
2x - 3 = 7
2x = 10
x = 5
Answer:
hope u understand
Step-by-step explanation:
[tex]\: 1. \: x - 3 = 7 - x \\ \: 2. \: x + x - 3 = 7 \\ 3. \: x + x = 7 + 3 \\ 4. \: 2x = 7 + 3 = 10 \\ 5. \: 10 \div 2 = 5 \\ 6. \: x = 5[/tex]
let me explain you now
1. collect like terms
2. move the variable to the left hand side and change its sign
3. move the constant to the right hand side and change its sign
4. collect like terms and add the numbers
5. divide the answer with 2
6. the solution
PLEASE HELP!!!!
The two triangles shown are congruent: AABC = AXYZ. Based on this information,
which of the following is a true statement?
Answer:
I will say the answer is A
To prepare for the winter season the manager of an outdoor ice skating rink ordered 4,920 pounds of sand to keep around the skating rink from being yo slippery One bag of sand is 40 which equation can be used to find the number of bag of sand ,b, the manager order
Answer:
hope this helps UwU
Step-by-step explanation:
The required equation represents the number of bags of sand is b = 4920 ÷ 40.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
here,
To prepare for the winter season the manager of an outdoor ice skating rink ordered 4,920 pounds of sand to keep around the skating rink from being yo slippery One bag of sand is 40 points.
Let the number of bags be b,
40 × = 4920
b = 4920 ÷ 40
Thus, the required equation that represents the number of bags of sand is b = 4920 ÷ 40.
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Watch ordered pair is not a point on the graph of y= -5x + 2?
A(-1,6)
B(0,2)
C(-2,12)
D(2,-8)
-2 1/3 - (-5)=
Please help me
3. A person standing 3 feet away from the base of a lamp post casts a shadow 4 feet long. If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute, at what rate will his shadow lengthen
Answer:
533.33 ft/min
Step-by-step explanation:
We are given that
x=3 feet
y=4 feet
Height of person,h=6 feet
[tex]\frac{dx}{dt}=400 ft/min[/tex]
Triangle ABC and A'B'C are similar because all right triangles are similar
By using similarity property
[tex]\frac{h'}{6}=\frac{7}{4}[/tex]
[tex]h'=10.5 feet[/tex]
[tex]x+y=3+4=7 feet[/tex]
[tex]\frac{h'}{6}=\frac{x+y}{y}[/tex]
[tex]\frac{10.5}{6}=\frac{x+y}{y}[/tex]
[tex]10.5y=6x+6y[/tex]
[tex]10.5y-6y=6x[/tex]
[tex]4.5y=6x[/tex]
Differentiate w.r.t t
[tex]4.5\frac{dy}{dt}=6\frac{dx}{dt}[/tex]
[tex]\frac{dy}{dt}=\frac{6\times 400}{4.5}ft/min[/tex]
[tex]\frac{dy}{dt}=533.33ft/min[/tex]
Hence, If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute then his shadow moving at the rate 533.33 ft/min
Anna made 33 blueberry cookies. If she shares this equally among her four
friends, how many will each receive? Will there be any cookies leftover?
Answer:
each person will get 8 cookies and there will be one remaining
Step-by-step explanation:
33 ÷ 4 = 8.25
4 × 8 = 32
33 - 32 = 1
9) Alyssa takes 10 hours to repair the roof. It takes Mike 11 hours to
complete this job. How long would it take if they worked together?
Answer:
I'm sorry for "awnsering" this I needed some points
Answer:
11 hours
Step-by-step explanation:
so here the thing alyssa takes 10 hours
but with one more person to help it take have the time to do so that would be 5.
Mike take 11hour to do a job so we do the same thing but with mike so it will be half the time 6
and if you add them together you get 11 soo it would take 11 hours to do all of the work together
(sorry if wrong) but hope it helps
What is the factored form of 4p³ + 8p² + 3p + 6
Answer:
(4p^2 + 3) (p+2)
Step-by-step explanation:
find common factors
(4 and 3)
factor and "group the numbers"
A pie company randomly surveys 60 customers to determine which type of pie they would purchase. The results of the survey are shown. 25% peach 33 1/3% apple, other 20% cherry the company expects to sell 65 cherry pies in march based on the survey results, how many who pech pies should the company expect to sell in march
Answer:
Pp
Step-by-step explanation:
Ppfu2739
(5n2 – 4nm - 9m²) + (7n2 + 4nm +8m²) =
Answer:
[tex]\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(5n^2\:-\:4nm\:-\:9m^2\right)\:+\:\left(7n^2\:+\:4nm\:+8m^2\right)[/tex]
Remove parentheses: (a) = a
[tex]=5n^2-4nm-9m^2+7n^2+4nm+8m^2[/tex]
Group like terms
[tex]=5n^2+7n^2-4nm+4nm-9m^2+8m^2[/tex]
Add similar elements: [tex]5n^2+7n^2=12n^2[/tex]
[tex]=12n^2-4nm+4nm-9m^2+8m^2[/tex]
Add similar elements: [tex]-4nm+4nm=0[/tex]
[tex]=12n^2-9m^2+8m^2[/tex]
Add similar elements: [tex]-9m^2+8m^2=-m^2[/tex]
[tex]=12n^2-m^2[/tex]
Therefore, we conclude that:
[tex]\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2[/tex]
An angle is made up of 66 one-degree angles. What is the measure of the angle?
Answer:
66 degrees
Step-by-step explanation:
if there are 66 one degree angles, all alll those together to get 66 degrees in total
The measure of the angle that is given with the given parameter is; 66°
How to find the value of the angle?
We are told that ang angle is made up of 66 one-degree angles. Now, this means that each of the section of the main angle is one degree.
Thus, the value of 66 numbers of that angle will be;
66 * 1 = 66°
In conclusion, the measure of the angle is 66°.
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In general, how does the growth of y = 4x compare to the growth of y = 4x? The function y = 4x is growing slower than y = 4x. The function y = 4x is growing faster than y = 4x. The functions y = 4x and y = 4x are growing at the same rate. The function y = 4x is growing faster than y = 4x.
Answer:
B. The function y = 4x is growing faster than y = 4x.
Step-by-step explanation:
is the answer.
3(x+6)= -3.68
Find x, I think I know how but I’m not really sure
Answer:
x = - 7.23
Step-by-step explanation:
3(x+6)= -3.68 Start with the breackets.
3x + 18 = - 3.69 Subtract 18 from both sides
3x = - 3.69 - 18
3x = -21.69 Divide by 3
x = - 21.69/3
x = -7.23
A 400g loaf of white bread contains 228 g of flour. An 800 g loaf of brown
bread contains 472 g of flour. Which loaf contains a higher percentage of flour?
Answer:
The loaf of brown bread contains a higher percentage of flour.
Step-by-step explanation:
To find the percentage of flour, we divide the amount of flour by the weight of the bread, and then multiply by 100. So
400g loaf of white bread:
228g of flour
[tex]P = \frac{228*100}{400} = 57\%[/tex]
57% of flour
800g loaf of brown bread:
472g of flour
[tex]P = \frac{472*100}{800} = 59\%[/tex]
59% of flour, so, a higher percentage
Out of 75 students if 8% were absent find the number of present student
Answer:
69 students
Step-by-step explanation:
Step one:
number of students = 75
percentage absebt= 8%
Find the value of 8% absent
=8/100*75
=0.08*75
=6 students
Number present= Total students- number absent
Number present= 75- 6
Number present= 69
Hence there are 69 students present
The function f(x)=x(200-x) models the area of a pasture, in square yards, as a function of its length. Which are possible lengths of the pasture? 125 yards 200 yards 170 yards 225 yards 210 yards
Answer:
(a): x = 125 yards.
(c): x = 170 yards.
Step-by-step explanation:
Given
[tex]f(x) = x(200 - x)[/tex]
[tex]x = length\\\\[/tex]
[tex]f(x) = area[/tex]
Required
Determine the possible length
For a length to be possible or usable, the calculated area must be greater than 0.
(a): x = 125 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 125 for x
[tex]f(125) = 125 * (200 - 125)[/tex]
[tex]f(125) = 125 * 75[/tex]
[tex]f(125) = 9375[/tex]
(b): x = 200 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 200 for x
[tex]f(200) = 200 * (200 - 200)[/tex]
[tex]f(200) = 200 * 0[/tex]
[tex]f(200) = 0[/tex]
(c): x = 170 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 170 for x
[tex]f(170) = 200 * (200 - 170)[/tex]
[tex]f(170) = 200 * 30[/tex]
[tex]f(170) = 6000[/tex]
(d): x = 225 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 225 for x
[tex]f(225) = 200 * (200 - 225)[/tex]
[tex]f(225) = 200 * (- 25)[/tex]
[tex]f(225) = -5000[/tex]
(e): x = 210 yards.
[tex]f(x) = x(200 - x)[/tex]
Substitute 210 for x
[tex]f(220) = 200 * (200 - 210)[/tex]
[tex]f(220) = 200 * (- 10)[/tex]
[tex]f(220) = -2000[/tex]
From the above calculations, only values of x that are 125 and 170 makes the function true
To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $5.30 per hour. The math club wants to spend at most
$81.40 on renting the meeting room.
Answer:
the most time they can spend is 8 hours
The graph below has the same shape as the graph of G(X) = x2, but it is
shifted up four units and to the right three units. Complete its equation. Enter
exponents using the caret (^); for example, enter x2 as x^2. Do not include
"F(x) =" in your answer.
5
Answer:
The new function f(x) = (x-3)² +4
Step-by-step explanation:
Step(i):-
Given that the graph f(x) = x²
The given graph shifted up four units then the new function
f(x) = x²+4
Step(ii):-
And again the graph shifted '3' units right then the graph is transformed to
f(x) = (x-3)² +4
the distance formula is used for 2 points on a coordinate plane?
Answer:
the distance formula is used to find the distance between two points in the plane.
Step-by-step explanation:
Simply the expression
Answer:
15i
Step-by-step explanation:
-3+7i+3+8i
0+15i
Answer:
Step-by-step explanation:
(-3+7i)-(-3-8i)= -3+7i+3+8i=15i
finding the slope (simplest form)
Answer:
m=3, y = 3x - 2
Step-by-step explanation:
slope = rise / run
slope = 6/2
slope = 3
Answer:
The slope is 3.
Step-by-step explanation:
Slope is equal to rise over run. Let’s take a look at the points given to us on the graph.
To go from the leftmost point to the rightmost point, we rise (go up) 6 units, and then we run over (go right) 2 units. So we have:
Slope = Rise/run = 6/2
Now 6/2 is equal to 3, and that’s the slope.
15-3a =??
please help
Answer:
a=5
Step-by-step explanation:
Hello I just want to ask what is the definition of exterior and anterior?
Answer:
exterior is the outside and anterior is the front
Step-by-step explanation:
Please help helppppp
Answer:
C
Step-by-step explanation:
Area= 1/2 (b1+b2)h
1/2 (38+14)x16
52x16=416
please answer
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 35 problems. Each problem is worth either 5 points or 2 points. How can you set up a system of equations to find how many problems of each point value are on the test? Let x = the number of questions worth 5 points. Let y = the number of questions worth 2 points.
Answer:
5x+2y=35
Step-by-step explanation:
Let me know if this is wrong.
Answer: The correct answer is the first one, x+y=35, 5x+2y=100.
Step-by-step explanation: I got it correct on Edge, Hope this helps :)
22 is what percent of 40
Answer:
55%
Step-by-step explanation:
40x0.55=22
Answer:
55%
Step-by-step explanation:
To find what percent of 40 is 22, you must divide them.
In this case: [tex]22 / 40[/tex] . This equals .55, which can be represented as 55%
During one game, the Dallas Cowboys punter was called upon to punt the ball eight times. On one of these punts, the punter struck the ball at his own 30-yard line. The height, h of the ball above the field as a function of time , t, in seconds can be partially modeled by the following table:
t
0
0.6
1.2
1.8
2.4
3.0
h(t)
2.50
28.56
43.10
46.12
37.12
17.60
Use your graphing calculator, to obtain a quadratic regression function for these data. Round the values of a,b, and c to four decimal places.
a.
h (t) = negative 15.9752 t cubed + 52.8875 t + 2.5536
c.
h (t) = 15.9752 t squared + 52.8875 t + 2.5536
b.
h (t) = negative 15.9752 t squared + 52.8875 t + 2.5536
d.
h (t) = negative 15.9752 t squared minus 52.8875 t + 2.5536
Please select the best answer from the choices provided
A
B
C
D
Answer:
B
Step-by-step explanation:
The quadratic regression function for the given data function can be written as f(x) = 2.55357143 + 52.8875x - 15.97519841x².
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that during one game, the Dallas Cowboys punter was called upon to punt the ball eight times. On one of these punts, the punter struck the ball at his own 30-yard line. The height {h} of the ball above the field as a function of time {t} in seconds can be partially modeled by the following table -
{t} 0 0.6 1.2 1.8 2.4 3.0
h{t} 2.50 28.56 43.10 46.12 37.12 17.60
Using the graphing calculator, we can calculate the values as -
Mean of {x} : 1.5
Mean of {y} : 29.16666667
Correlation coefficient {r} : 0.9999376942
A : 2.55357143
B : 52.8875
C : -15.97519841
We can write the quadratic regression function as -
f(x) = A + Bx + Cx²
f(x) = 2.55357143 + 52.8875x - 15.97519841x²
Therefore, the quadratic regression function for the given data function can be written as f(x) = 2.55357143 + 52.8875x - 15.97519841x².
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36 Solve for x. 112 0 0
Answer:
x=12(the side in parallel are equal.