Simplify each expression:
( 5a^2b^3)(4ab^5)
Answer:
20a^3 b^8
Step-by-step explanation:
( 5a^2b^3 ) ( 4ab^5 )
= ( 5 . a^2 . b^3 ) ( 4 . a . b^5 )
= ( 5 . 4 ) ( a^2 . a ) ( b^3 . b^5 )
= 20 ( a^2 . a^1 ) ( b^3 . b^5 )
= 20 ( a^( 2 + 1 ) ) ( b^( 3 + 5 ) )
= 20 ( a^3 ) ( b^8 )
= 20a^3 b^8
17. Solve the following equation. (1 point)
3(y – 5) + 2 = 5
Oy=4
Oy=7
Oy= 4
Oy=6
Answer:
y = 6
Step-by-step explanation:
[tex]3(y - 5) + 2 = 5 \\ 3y - 15 + 2 = 5 \\ 3y - 13 = 5 \\ 3y = 5 + 13 \\ 3y = 18 \\ \\ y = \frac{18}{3} \\ \\ y = 6[/tex]
I hope I helped you^_^
The solution of the equation 3(y - 5) + 2 = 5 gives the result y = 6.
Thus, option (d) is correct.
An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=).
Let's solve the equation step by step:
3(y - 5) + 2 = 5
First, distribute the 3 on the left side:
3y - 15 + 2 = 5
Combine the constants on the left side:
3y - 13 = 5
Now, isolate the variable y by adding 13 to both sides:
3y = 18
Finally, divide both sides by 3 to solve for \(y\):
y = 18/3
y = 6
So, the solution to the equation is y = 6.
Thus, option (d) is correct.
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HELP PLEASE I NEED TO GET THIS DONE
Answer:
3x^2
Step-by-step explanation:
Factor 3x^4
3 * x * x * x * x
Factor 15x^3
3 * 5 * x * x * x
Factor 21x^2
3 * 7 * x * x
Common factor is
3 * x * x
Simplify:
3x^2
3x to the power of 2
HELPPP
Find the domain of the function represented by the graph. Determine whether the domain is discrete or continuous.
Write an equation
Look at screenshot
Answer:
y=3x+27
Step-by-step explanation:
I first wrote down point-slope form, then substituted your point (-7,6) and the slope to get b (the y intercept).
Sam walked x miles at 4mph.
Then he walked 2x miles at 3mph.
A) find average speed for the whole journey.
The second part of journey took 25mins longer than the first part.
B) Find the value of x.
Answer:
Sam average speed for the whole journey = [tex]3\frac{3}{11} mph[/tex]
Step-by-step explanation:
Formula: Speed = [tex]\frac{Distance}{Time}[/tex]
i.e. Time = [tex]\frac{Distance}{Speed}[/tex]
If Sam walked x miles at 4 mph, then time taken by him = [tex]\frac{x}{4}[/tex] hours
If he then walked 2x miles at 3 mph, then time for this period = [tex]\frac{2x}{3}[/tex]hours
Average speed = [tex]\frac{Total Distance}{Total Time}[/tex]
=[tex]\frac{x+2x}{\frac{x}{4} \frac{2x}{3} }[/tex]
=[tex]\frac{3x}{\frac{x1}{4} \frac{2}{3} }[/tex]
=[tex]\frac{3}{\frac{3+8}{12} }[/tex]
=[tex]\frac{3 x 12}{11}[/tex]
=[tex]\frac{36}{11}[/tex]
=[tex]3\frac{3}{11} mph[/tex]
Hence, Same's average speed for the whole journey = [tex]3\frac{3}{11} mph[/tex]
the legs of an isosceles triangle have lengths 3x-1 and 2x+4. The base has length 3x+5. Whatis the length of the base?
Answer:
3x+5
Step-by-step explanation:
The base has length 3x+5. You answered your own question darling
[tex]\sf 50\times 10\times 7[/tex]
Answer:
50 × 10 × 7 = 3,500
Step-by-step explanation:
pls brainliest plsssssss
A radio station sends out radio waves in all directions from a tower at the center of the circle of broadcast range. If the circle has a diameter of 98 mi, how large an area is reached? Use 3.14.
Answer:
aku ga tau Inggris AAAAAA pak yuk
The waves will cover a circular area of 7542.96 miles.
What is the area of the circle?The circle is defined as the locus of the point traces around a fixed point called the center and is equidistant from the outer trace. The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that a radio station sends out radio waves in all directions from a tower at the center of the circle of broadcast range. The circle has a diameter of 98 miles.
The area of a circle is calculated by the formula below:-
Area = ( π / 4 ) d²
Area = ( π / 4 ) ( 98 )²
Area = 7542.96 square miles
Therefore, the waves will cover a circular area of 7542.96 miles.
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FINAL ROUND!! Could someone please help answer this thanks so much, please no spam, will give brainliest (homework help)
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's solve :
[tex]4a + 7 \leqslant 35[/tex][tex]4a \leqslant 28[/tex][tex]a \leqslant 28 \div 7[/tex][tex]a \leqslant 4[/tex]Solve for m < LMN.......
Answer:
m< LMN = 111°
Step-by-step explanation:
m< LMO + m<OMN = m< LMN
[tex]58 + 53 = 111[/tex]
Please help ASAP!!!
Anyone know this?
See pic attached
Step-by-step explanation:
a ) 12 , 17 , 22 , 27 , 32
according to the given sequence, they added 5 in the numbers
b ) 83 , 77 , 71 , 65 , 59
in this given sequence they just subtracted 6 from the number
hope this answer helps you dear...take care and may u have a great day!
help
please
please
please
Step-by-step explanation:
x = price of pants
y = price of top
x + y = 36
x = (4/5)y
we use the second equation as substitute in the first
(4/5)y + y = 36
4y + 5y = 180
9y = 180
y = $20
x = (4/5)y = (4/5)×20 = 4×4 = $16
Someone pls help me I will make you as brain
Answer:
It's 1/2, you go 1 step to the right and two steps up.
I'm having a hard time understanding how to do this, if someone could guide me through it that would be great.
how fast do you have to go travel the speed of light
Answer:
About 186,000 miles per second.
Step-by-step explanation:
A salesperson earns nine percent commission on sales. The equation for the amount he or she earns in commission is, where s is the amount sold. How much commission is c=0.09s will he or she earn if the amount sold is $6,000? Write an ordered pair to represent your answer.
According to the word problem question;
If the salesperson earns 9 percent commission on sales;
In essence, 9/100 of the sales proceedings belongs to the salesperson.
Mathematically; the equation for the amount he or she earns in commission is;
c = 0.09swhere; c = commission and s = amount sold.Consequently, if the amount sold is $6,000;
The amount he or she earns in commission is;
c = 0.09 × $6,000c = $540.
The answer in ordered pair form is therefore;
(s,c) = ($6000, $540)
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please help me anyone !!!!!!!!
Answer:
n=35
Step-by-step explanation:
Mia is solving the equation x2 – 12x = 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?
9
-9
36
8
The value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.
To make the equation x2 – 12x = 1 look similar to the completing the square kind of expression where the left hand side of the equation becomes a perfect square, we must do the following;
First, the completing the square method usually takes the form; x² + bx = (x + b/2)² + cIn this scenario, the term (x² - 12x) can be rewritten as; (x - 6)² - 36.
This so because the expansion of (x - 6)² becomes;
x² - 12x + 36.Therefore, there's a need to subtract 36 from both sides of the equation so that the equation x2 – 12x = 1 is retained.
Therefore, the value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.
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the box that shoes come in are often used in other capacities once the shopper has bought theshoes sometimes the boxes are used to hold other items so it is helpful to know the volume of the box if the area of the base of the box is 112 square inches and the hight is 3.5 inches. What is the vloume of the box?
The box with area of the base of the box is 112 square inches and the height is 3.5 inches has volume of 392 in³
A cuboid is a three dimensional shape polyhedral with six quadrilateral faces. The volume of a cuboid is:
Volume of cuboid = length * width * height
A box is a three dimensional shape in the form of a cuboid. The volume of a box is:
Volume of box = length * width * height
Volume of box = area of base * height
The area of the base of the box is 112 square inches and the height is 3.5 inches, hence:
Volume of box = 112 in² * 3.5 in
Volume of box = 392 in³
The box has volume of 392 in³
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Violet has taken three test with rhe score of 60,65 and 70. To get an 70 average, what must her grade be on the fourth test? Write and solve an equation to find her third test score.
Answer:
85
Step-by-step explanation:
Equation-
A baseball has a momentum of 70 kg*m/s south and a mass of 0.2 kg. What is the
ball's velocity?
Answer : Diluc + Klee = Dlee
A family drives 412 miles in 110 of an hour. What is their rate of speed in miles per hour?
Answer:
45mph
Step-by-step explanation:
The members of a town council decide to spend 3/20 of their budget on new playground equipment. They also decide to spend 1/15 of the budget on road repairs. How much more of the budget will be spent on playground equipment?
Answer:
It MAY be 1/30
Step-by-step explanation:
solve for r to find the missing term in geometric sequence
—
hi can someone please answer my question. thank you ❤️
Step-by-step explanation:
given :
120, 60, 30, _, _, _
find r!
solution :
r = 60/120 = ½.
=> 120,60,30, 15, 15/2 , 15/4 , ...
Step-by-step explanation:
Calcute the ratio :
r = Un/Un-1
r = 60/120
r = ½
Calculate 4th term :
Un = ar^n-1
U4 = 120 × ½^4-1
U4 = 120 × ½³
U4 = 120 × 0.125
U4 = 15
Calculate 5th term :
Un = ar^n-1
U5 = 120 × ½^5-1
U5 = 120 × ½⁴
U5 = 120 × 0.0625
U5 = 7.5
Calculate 6th term :
Un = ar^n-1
U6 = 120 × ½^6-1
U6 = 120 × ½⁵
U6 = 120 × 0.03125
U6 = 3.75
Jody is training for a triathlon. She can ride her bike at a speed of 12 miles
an hour. How long would it take her to ride her bike 42 miles? *
Answer:3 and 1/2 hours
Step-by-step explanation: She can ride 12 miles in one hour. So 42/12 = 3 and 6/12 also known as [tex]3\frac{1}{2}[/tex] hours
Comaparing and ordering real numbers lesson 3
Evaluate for z
11 + 3/5z = 38
Answer:
45
Step-by-step explanation:
Combine 3/5 and z
Move all terms not containing z to the right side of the equation.
3z/5=27
Multiply both sides of the equation by 5/3
Simplify both sides of the equation.
z=45
Factor the expression
(3x − 6) (4x² − 1) – (2x − 4) (4x² + 4x + 1)
Step-by-step explanation:
[(3x − 6) (4x² − 1)] – [(2x − 4) (4x² + 4x + 1)]
>[3(x-2) (2x+1)(2x-1)]-[2(x-2)(4x²+2x+2x+1)
>[3(x-2)(2x+1)(2x-1)]-[2(x-2){2x(2x+1)+1(2x+1)}]
> 3(x-2)(2x+1)(2x-1)-2(x-2)(2x+1)²
> (x-2)(2x+1) [3(2x-1)-2(2x+1)]
> (2x²-3x-2)(6x-3-4x-2)
> (2x²-3x-2)(2x-5).
hope this helps you.
In recent year, the total receipts for the US federal government were $2154 billion. The total outlays were $2472 billion. The deficit was $318 billion. What would the deficit have been, if there had been a 2% decrease in total receipts
If there had been a 2% decrease in total receipts, the new deficit would be $361.08 billion.
If there had been a 2% decrease in total receipts, the new total receipts would be:
New total receipts = $2154 billion - (2% of $2154 billion)
New total receipts = $2154 billion - $43.08 billion
New total receipts = $2110.92 billion
The total outlays would remain the same at $2472 billion.
So, the new deficit would be:
New deficit = New total outlays - New total receipts
New deficit = $2472 billion - $2110.92 billion
New deficit = $361.08 billion
Therefore, if there had been a 2% decrease in total receipts, the new deficit would be $361.08 billion.
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