[tex]( {5}^{3} ) ^{6} = {5}^{3 \times 6} = {5}^{18} [/tex]
Answer:
5^18.
Step-by-step explanation:
By the law of indices:
(a^b)^c = a^(bc)
So (5^3)^6
= 5^(3*6)
= 5^18.
Area of the plane figure
Answer:
Area = 16.8 * 7 / 2 = 58.8 ft2
Step-by-step explanation:
Have
18.2^2 = 7^2 + a^2
-> a^2 = 18.2^2 - 7^2
-> a^2 = 282.24
-> a = 16.8
Area = 16.8 * 7 / 2 = 58.8 ft2
factor out the GCF of
Answer:
2
Step-by-step explanation:
2(2x + 7) - 7(x+1)= 28
2(2x+7)-7(x+1)=28
4x+14-7x-7=28
4x-7x=28+7-14
-3x=28-7
-3x=21
pls mark mine as brainliest :D
x=-7
List all the factors of 6
70% of what number is 595?
Please help
Answer:
850
Step-by-step explanation:
We have, 70% × x = 595
or,
70
100
× x = 595
Multiplying both sides by 100 and dividing both sides by 70,
we have x = 595 ×
100
70
Answer:
Your answer is 416.5
Step-by-step explanation:
You take your first number 595 and multiply it by .7
There ya go hope it helped
Diane drove 576 miles in 8 hours. At the same rate, how many miles would she drive in 11 hours?
Answer:
576-8 hours
-11 hours
Cross multiply
=576×11=6336
6336÷8=792
so 792 miles
Determine if the question posed is a statistical question (yes) or not (no). How many students passed the math test?
Answer:
How to add a great answer
How to add a great answer
Step-by-step explanation:Determine if the question posed is a statistical question (yes) or not (no). How many students passed the math test?Bună ziua. La pagina 169 aveți o altă piesă de teatru. Vă rog să o citiți și să răspundeți la întrebările 1,2,4,7,8/ pag. 170.
Sper că vă scrieți toate lecțiile în caiet! Sunt copii care încă nu mi-au trimis nicio temă. Vă rog să vă mobilizați! Când ne întâlnim vă verific caietele. Mult spor!
A vehicle costs £17754 including vat at 20%. What was the price of the vehicle before vat was added
Answer:
Step-by-step explanation:I don't say you have to mark my ans as brainliest but friend if it has really helped you plz don't forget to thank me...
i need help with the following question please
(brainliest will be marked)
Answer:
4x^2+1.5y*2x
Step-by-step explanation:
the area of square equale wide^2
the area of traingle = 1/2 of 3y *hight (2x)
Answer:
4into^2+1.5y*2^
Step-by-step explanation:
Brainliest question please please help me now plz
Answer:
[tex] \frac{8}{17}[/tex]
Step-by-step explanation:
[tex] \because \cos (\beta) =\frac{BC}{AB}\\\\
\huge \red {\boxed {\therefore \cos (\beta) =\frac{8}{17}}} [/tex]
click here if you good at math
Write three fractions that are equivalent to 1/2
im giving you an easy one :)
Answer:
2/4 3/6 and 4/8
Step-by-step explanation:
A Ferris wheel rotates 9π/8 radians prior to making a stop. The total height of the Ferris wheel is 246 ft. How far around did the Ferris wheel travel?
Answer:
The ferris wheel travelled 434.717 ft.
Step-by-step explanation:
Assuming that the ferris wheel is a perfect circle, then it's height is the same as the diameter of the circle, therefore it's radius is:
radius = height/2 = 246/2 = 123 ft
The distance travelled by the ferris wheel is the same as the length of the arc created by a angle of (9pi/8). The length of an arc is given by:
length = r*(angle in radians)
length = 123*(9pi/8)
length = 434.717 ft
The ferris wheel travelled 434.717 ft.
please find the area of the shaded region i appreciate your help
Answer:
(4/3) π units² or (b): 33.5 units²
Step-by-step explanation:
The area of a sector of a circle of radius r and central angle Ф is a fraction of the total area of the circle: (Ф/[2π]) * πr².
Here we find the area of the circle to be A = π (8 units)².
60
Multiply that by the fraction ------------- , or 1/6
360
We get: (1/6) (π (8 units)² = (4/3) π units², or approximately 33.5 units²
Find the total surface area of this triangular prism.
10 cm
6 cm
4 cm
8 cm
Answer:
144
Step-by-step explanation:
8x6=48
48 divided by 2=24
24x2=48
4x10=40
8x4=32
4x6=24
add them all together so 48+40+32+24=144
The triangular prism is a 3-d shape, and the total surface area of the triangular prism is 144 cm²
How to determine the total surface area?The surface area of a triangular prism is:
Area = bh + (b + s₁ + s₂) * l
The parameters in the triangular prism are:
Base length, b = 8cmBase height, h = 6cmOther sides of the base, s₁ = 10cm; s₂ = 6cmPrism height, l = 4cmSo, we have:
Area = 8 * 6 + (8 + 10 + 6) * 4
Evaluate the sum of product
Area = 144
Hence, the total surface area of the triangular prism is 144 cm²
Read more about surface area at:
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(PLEASE ANSWER ASAP I NEED IT IN A FEW MINUTES I WILL MARK BRAINLIEST) Jenna bakes pie at her bakery. She gets a 10 pound block of butter for $30.30. Each pound of butter is 2 cups. Each pie she makes requires 3/4 cup of butter. How many pies can she make? What is the cost of butter per pie?
Answer:
With that amount of butter she can make 26 pies.
For each pie she spends $1.13625 of butter.
Step-by-step explanation:
We first need to convert the total amount of butter she has from pounds to cups, to do that we need to multiply by 2, since for each pound she has 2 cups of butter, therefore:
butter in cups = 10*2 = 20 cups
Since each pie requires 3/4 cups of butter in order to calculate the number of pies she can make we need to divide the total amount of butter she has by the amount required for each pie. We have:
number of pies = total butter in cups / butter for one pie
number of pies = 20 / (3/4) = 20*(4/3) = 80/3 = 26.667
Since she can't make 0.66 pies, we will need to take only the integer part in consideration, therefore she can make 26 pies.
In order to know the cost for each pie we first need to know the cost for each pound of butter, to calculate that we take the total amount paid by her and divide it by the amount of butter she got.
price of butter per pound = 30.3/10 = 3.03
So each pound of butter costs $3.03 and is equivalent to 2 cups, we can make a rule of three to find the cost for each pie as shown below:
2 cups -> $3.03
3/4 cups -> $x
2/(3/4) = 3.03/x
2*(4/3) = 3.03/x
8/3 = 3.03/x
8x = 9.09
x = 9.09/8 = $1.13625
For each pie she spends $1.13625 of butter.
A can holds 753.6 cubic centimeters of juice. The can has a diameter of 8 centimeters. What is the height of the can? Use 3.14 for 1 and round to
the nearest centimeter
About
cm
Answer: The height is 15 cm.
Step-by-step explanation:
We have to know the can is in a shape like a cylinder so we will use the volume of a cylinder formula to find the height.Which is πr^2*h
We have to know 8 is the diameter so the the radius is 4.
3.14 * 4^2 * h = 753.6
3.14 * 16 * h = 753.6
50.24 * h = 753.6
Divide 753.6 by 50.24 to find the height
The height is 15.
One grain of this sand approximately weighs 7 x 10^-5 grams how many grains of sand are there in 6300kg of sand?
answer in standard form.
Answer:
Step-by-step explanation:
6.3x103 kg sand x 1x103 g/kg x 1 grain sand/7x10-5 g sand = 9x1010 grains of sand = 90 billion grains of sand.
90 billion grains of sand.
(6.3 x 103kg) (1 x 103g/kg x 1 )
DIVIDED by 7 x 10 - 5 g sand
= 9 x 1010 grains of sand
1 point
When factoring the quadratic trinomial below, we consider whether there
is addition or subtraction between terms. Because there is only addition,
the binomial factors will have:
x2 + 9x + 18
addition in both
subtraction in both
addition in one and subtraction in the other
which one is it? help asap
Answer:
I say addition in both since there is + between terms
Hope this helps...
Step-by-step explanation:
Tell me if it's correct
what is 33.4% of 104?
Answer:
33.4% of 104 is equal to 34.736
What is the answer to 150% of 224?
Answer: 336
Step-by-step explanation:
Answer:
336
Step-by-step explanation:
answer of 150% of 224 is336
Rewrite the equation y=2|x−2|+4 as two linear functions f and g with restricted domains.
Answer:
f(x) = -2x + 8, x < 2
g(x) = 2x, x 》2
Step-by-step explanation:
|x - 2| is:
x - 2, for x 》2
-x + 2, for x < 2
For x < 2,
f(x) = 2(-x + 2) + 4
f(x) = -2x + 8
For x 》2,
g(x) = 2(x - 2) + 4
g(x) = 2x
The two linear functions for the given mode function y = 2|x - 2| + 4 will be y = -2x + 8 and y = 2x.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
As per the given mode function,
y = 2|x - 2| + 4
For x < 2 , |x - 2| = -(x - 2)
y = -2(x - 2) + 4
y = -2x + 4 + 4
y = -2x + 8
For x > 2, |x - 2| = x - 2
y = 2(x - 2) + 4
y = 2x - 4 + 4
y = 2x
Hence "The two linear functions for the given mode function y = 2|x - 2| + 4 will be y = -2x + 8 and y = 2x".
For more about the linear function,
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3(x−0.2)=1.8+x find x
Answer:
x=6/5
Step-by-step explanation:
Is American Dream for Everyone? Explain.
Answer:
There are many ideals that appear in American literature such as, but not limited to, all people are equal, The United States of America is the Land of Opportunity, independence is valued, The American Dream is attainable, and everyone can succeed with hard work and determination.
Find the radius of a circle with a circumference of 49 yards
Answer:
7.8025
Step-by-step explanation:
You get the circumfence formula 2 * pi * r
since you are looking for the radius divide 49/2 then the answer you get divide it by pi and then you have your radius
i hope this helped<33
[I'm using 22/7 as pi in this question, for the sake of convenience, since the value of pi to be used isn't given.]
Circumference = [tex]2\pi r[/tex]
49 = 2 x [tex]\frac{22}{7}[/tex] x r
r = 49 x [tex]\frac{7}{44}[/tex]
r = approx. 7.8 yards
Solve the inequality. Graph the solution.
−1.4 ≤ h + 1.1
Answer:
Step-by-step explanation:
- 1.4 < h + 1.1
Solve for H. Get H by itself by subtracting 1.1 on both sides of the equation.
-1.4 - 1.1 = - 2.5
-2.5 < h
_
12. Write a function rule in slope-intercept form for the statement: the output is one less than half of the opposite of the input.
Answer: y = (1/2)*x - 1
Step-by-step explanation:
a linear relationship is something like:
y = a*x + b, lets find the values of a and b.
We have that the output (y) must be 1 less than half of the imput (x), then our relation is:
y = (1/2)*x - 1
What is the center of a circle whose equation is x2 + y2 – 12x – 2y + 12 = 0?
(–12, –2)
(–6, –1)
(6, 1)
(12, 2)
Answer:
(6,1)
Step-by-step explanation:
Just look for the terms with x and y in them. Divide their coefficients by two, and multiply by -1. And then put them in an ordered pair.
So in this case, -12x --> 6 and -2y --> 1
Obviously the more orthodox way would be to actually complete the square, but I'm lazy, this way is faster, and since this seems to be multiple choice, as long as you have the correct answer, it shouldn't matter.
The required centre will be at (6,1)
Equation of a circleThe standard equation of circle is expressed as:
x^2+y^2+2gx+2fy+c = 0
where (-g, -f) is the centre of the circle
Given the equation x^2 + y^2 – 12x – 2y + 12 = 0
Compare with the general to have;
2gx = -12x
g = -6
2fy = -2y
y = -1
Since centre is at (-g, -f), hence the required centre will be at (6,1)
Learn more on equation of a circle here: https://brainly.com/question/14150470
Simplify the expression by combining like terms.
22+5−4+7−8
Answer:
22
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
22 add 5 subtract 4 add 7 and subtract 8
Eric is preparing for a regional swim meet that is a month away. He swims the same distance and clocks his best time on several different days. He plots the best time (in minutes) he swam each day as his y-variable and the day he swam it as his x-variable. When he plots his times and finds a line of best fit, he gets the equation y=−0.03x+3.45.
If Eric continues to practice, on the 15th day his best time for the day should be _[blank]_ minutes.
Enter the value that correctly fills in the blank, like this: 42
Do not round your answer.
Answer:
On the 15th day his best time for the day is 3 minutes.Step-by-step explanation:
The line that best fits is
[tex]y=-0.03x+3.45[/tex]
Where [tex]x[/tex] is days and [tex]y[/tex] is time in minutes. So, we have [tex]x=15[/tex], replacing this in the equation and solving for [tex]y[/tex], we have
[tex]y=-0.03(15)+3.45=-0.45+3.45=3[/tex]
Therefore, on the 15th day his best time for the day is 3 minutes.
Multiply, then identify the coefficient of x in the product (x - 5)(x + 2). *
Answer:
-3 is the coefficient of x here
Step-by-step explanation:
The first thing to do here is to open the brackets.
(x-5)(x + 2) = x(x + 2)-5(x + 2)
x^2 + 2x -5x -10
x^2 -3x -10
When we say the coefficient of x, we mean the value by which x only is multiplied by in the equation. That would be -3
This must not be confused with the coefficient of x^2 which is entirely different from the coefficient of x