Answer:
(2•5y to the 7th power)
Step-by-step explanation:
Step 1: (2y to the 4th power • 5) • y to the 3rd power
Step 2: (2•5y to the 4th power) • y to the 3rd power
Step 3: 3.1 y to the 4th power multiplied by y to the 3rd power = y to the (4 + 3) power = y to the 7th power
Final answer: (2•5y to the 7th power)
The expression [tex]2y^{4} * 5y^{3}[/tex] is equal to 10[tex]y^{7}[/tex].
What is Multiplying Exponents?When two expressions with exponents are multiplied, it is called multiplying exponents. The multiplication of exponents involves certain rules depending upon the base and the power.
What is multiplication of exponents with same base and different power?When the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]
According to the question
[tex]2y^{4} * 5y^{3}[/tex]
Now,
Using the multiplying exponent rule :
the terms with the same base are multiplied, the powers are added, i.e., [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{{m+n}}[/tex]
Therefore,
As, base y is common in both the terms
= 10[tex]y^{4+3}[/tex]
= 10[tex]y^{7}[/tex]
Hence, the expression [tex]2y^{4} * 5y^{3}[/tex] is equal to 10[tex]y^{7}[/tex].
To know more about multiplying exponent here:
https://brainly.com/question/219134
#SPJ3
What is the volume of the prism?
*Do NOT round your answer.
Answer:
300 in³
Step-by-step explanation:
Hello There!
The prism shown is a rectangular prism
The formula for volume of a rectangular prism is
[tex]Volume=lwh[/tex]
where l = length w = width h = height
so we are given all of the dimensions so to find the volume all we have to do is plug in the values into the formula
so
[tex]V=10*5*6\\10*5=50\\50*6=300\\V=300 in^3[/tex]
Answer:
the volume of the prism=length ×breadth ×height =10×5×6=300in³
SOMEONE PLS HELP I HAVE LIKE A MINUTE LEFT!!!
Answer:
C
Step-by-step explanation:
I'll explain if you need but i'm trying to answer quick for you
Answer:
C
Step-by-step explanation:
3500(1.04)^15
6,303
so in 15 years it will be over 6,000 dollars in the account
The figure shows the graphs of the functions y = f(x) and y = g(x) . The four indicat points all have integer coordinates. If g(x) = f(x) + k, what is the value of k?
Answer is in the file below
tinyurl.com/wpazsebu
Answer:
2
Step-by-step explanation:
ILL GIVE U BRAINLYISST
Answer:
d
Step-by-step explanation:
Cant be negative fraction.
Answer:
D.
Step-by-step explanation:
It isn't a real number and isn't used correctly.
Use the simple interest formula to find the interest earned and the ending balance. I = Prt (please show work)
1. $9,000 at 4% for 2 years
Answer:
720
Step-by-step explanation:
I = Prt
I = (9000)(0.04)(2)
I = 720
Please help! Will give Brainliest!
Answer:
A
Step-by-step explanation:
Graph y ≤ (x + 2)^2.
Click on the graph until the correct graph appears.
Answer:
the first one is the correct one
Step-by-step explanation:
a great way to check this is to use demos .com
Answer:
its the first one
Step-by-step explanation:
our vertex is (-2,0)
so replace it in the equation y ≤ (x + 2)^2
so, 0 ≤ (-2 + 2)^2
= 0 ≤ (-4)^2
= 0 ≤ 16
look at that statement, is 0 less than or equal to 16? Yes. Therefore it is correct, so you shade out side of the parabola.
TIP: If the parabola opens up and:
y <, then shade outside.
y >, then shade inside.
Do the opposite if the parabola opens down.
Please help with this math problem
3x + 6 ≥ 24
Answer: 1X52=73
Step-by-step explanation:
Question #8 help me plz
Answer:
UH HOLD ON RIGHT QUICK CAN YOU TELL ME THE QUESTION
Step-by-step explanation:
\begin{aligned} f(x)&=|x| \\\\ g(x)&=|x | + 1 \end{aligned} f(x) g(x) =∣x∣ =∣x∣+1 We can think of ggg as a translated (shifted) version of fff. Complete the description of the transformation. Use nonnegative numbers. To get the function ggg, shift fff by units.
Answer:
To get the function g, shift f by 1 unit.
Step-by-step explanation:
Given
[tex]\begin{aligned} f(x)&;=|x| \\ g(x)&;=|x | + 1 \end{aligned}[/tex]
Required
How do f(x) translates to g(x)
In terms of f(x), g(x) can be represented as:
[tex]g(x) = f(x) + k[/tex]
Where
[tex]f(x)= |x|[/tex]
and
[tex]k = 1[/tex]
This implies that f(x) is vertically shifted 1 unit up to get g(x)
Answer:
To get the function g, shift f up by 4 units and to the left by 2 units.
Step-by-step explanation:
To get the function g, shift f up by 4 units and to the left by 2 units.
that's the answer to the khan academy one
What is the area? Please help
Answer:
24 hhbhbbb;bbbbhhhjjjjdjdhdbdbbdbdhd
Answer: 61
Area of Square = [tex]7^{2}[/tex]
7 x 7 = 49
Area of Triangle = 1/2 (4) (3)
1/2 (4) (3) = 6
49 + 6 + 6 = 61
Sandra took 4 tests in math and her mean score was 18. I she scored 18, 22, and
17 in three tests, find Sandra's score in the fourth test.
Answer:
15
Step-by-step explanation:
(18+22+17+x)/4=18
18+22+17+x=18×4
57+x=72
x=72-57
x=15
PLEASE HELP
What do the ratios 15:5 and 15:22 represent?
15:5 compares losses to wins and 15:22 compares games to wins.
15:5 compares wins to losses and 15:22 compares wins to games.
15:5 compares wins to losses and 15:22 compares wins to ties.
15:5 compares wins to ties and 15:22 compares wins to games.
15 : 5 = 15 : 5
15 : 5 = 1 : 0.33333333333333
= 3 : 1
= 3 : 1
15
15 + 5
= 75%
Answer:
B
Step-by-step explanation:
15:5 compares wins to losses and 15:22 compares wins to games.
solve
¾.(z to the 3rd power . 4)=
Answer:
In the number 75, 5 is the base and 7 is the exponent. Solution: False. Example 7: 4. 3 a. a a a a b. b b b. + + +. = + +. Solution:.
Kelsha purchased a prepaid phone card for $30. Long distance calls cost 21 cents a minute using this card. Kelsha used her card only once to make a long distance call. If the remaining credit on her card is $22.44, how many minutes did her call last?
Answer:
2.646
Step-by-step explanation:
An athlete consumed 4,000 calories yesterday. Today, she consumed 3,800 calories. What is the percent change in number of calories consumed. Was this a percent increase or decrease? Round to the nearest percent.
Help
I neeed to get this question right
Answer:
6/10 is greater than 6/100
Step-by-step explanation:
6/10 = 3/5
6/100 = 3/50
3 fifties is lot more than 3 with 5 parts
hope it makes sense
please help out!!!!!
Answer:
SSS
Step-by-step explanation:
It will be SAS or AAS or ASA if there is the little angle sign that looks like a semi-circle in the corner. But the Lines in the side of the tringles indicate side not angle
100 PTSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
The width of a rectangular field is represented by x. The length of the rectangle is 5 more feet than the width. The total area of the field is 24 square inches. Write an equation to represent the area of the rectangle.
Answer:
24 ÷ x = 5
i hope this helps :)
Answer:
It is 24 ÷ x = 5
Step-by-step explanation:
How do you simplify
1 π (64)^2 (6)
Answer:
if you multiply pi by 64^2 times 6 then it comes out to 77207.78
Step-by-step explanation:
64^2 = 4096
4096 (6) = 24576
24576 (π) ≈ 77207.78
Solve the equation. You may find using algebra tiles to be helpful.
2x + 7 = 13
x =
Answer:
x= 3
Step-by-step explanation:
Move all the terms that do not contain x to the right side and solve.
Hope this helped!
⭐ Please consider giving Brainliest if this answer helped you ⭐
If a driver takes 6 hours to get to the town market which is 336 km away from his house, what is his average speed?
Answer:
[tex]56\ \text{km/h}[/tex]
Step-by-step explanation:
[tex]t[/tex] = Time taken = [tex]6\ \text{hours}[/tex]
[tex]d[/tex] = Distance = [tex]336\ \text{km}[/tex]
Average speed is given by
[tex]s=\dfrac{\text{Distance}}{\text{Time}}=\dfrac{d}{t}[/tex]
[tex]\Rightarrow s=\dfrac{336}{6}[/tex]
[tex]\Rightarrow s=56\ \text{km/h}[/tex]
The average speed of the driver is [tex]56\ \text{km/h}[/tex].
Find the value of x. Round to the nearest 10th. Plzzz help!!!
Answer:
x = 7.15
Step-by-step explanation:
Taking 33 as the reference angle,
hypotenuse = x
base = 6
Cos 33 = base/hypotenuse
Cos 33 = 6 / x
x = 6/ cos 33
x = 7.15
A square table in the cafeteria has the dimensions shown. What is the length of the diagonal of the table? Round to the nearest hundredth of a foot.
Answer: 11.31
Step-by-step explanation:
Solve for y. 2(3y-7)=16
Answer:
y=5
Step-by-step explanation:
First, distribute the 2 to the 3y and -7
6y - 14 = 16
Second, add 14 to both sides.
6y = 30
Third, divide both sides by 6
y = 5
As you can see y equals 5!
I hope the explanation helped and have a great day!
Answer:
y = 5
Step-by-step explanation:
2(3y - 7) = 16
distributive property:
2(3y - 7) = 16
6y - 14 = 16
add 14 on both sides
6y - 14 + 14 = 16 + 14
6y = 30
divide both sides by 6 :
[tex]\frac{6y}{6} = \frac{30}{6}[/tex]
y = 5
to check, subtitute 5 for y
2 (3(5) - 7) = 16
2(18 - 7) = 16
30 - 14 = 16
16 = 16
Lorenzo's family is driving to the beach to go kayaking with sea otters. The beach is 85 miles from Lorenzo's house. They have already driven 63 miles. Help and plz put the equation
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but I'm guessing that you want to find the equation to know the miles left for Lorenzo family to reach the beach.
The equation will be gotten by subtracting the distance that the family has driven already from the total distance from their house to the beach. This will be:
= 85 miles - 63 miles
= 22 miles
simplify polynomials -3x²+2x-x³+4-7x²
Answer:
-(x^2 + 10x^2 - 2x - 4)
Step-by-step explanation:
One leg of a right triangle is 3 cm and the hypotenuse is 5 cm. Joni found the length of the other leg by evaluating √32 + 52. What error did she make? How would you help her correct her error so she is less likely to make the same error in the future?
Answer: See explanation
Step-by-step explanation:
We should note that the hypothenuse is the longest side in a triangle. Therefore, the length of the other side will be represented by x. This is then solved below:
x² + 3² = 5²
x² + 9 = 25
x² = 25 - 9
x² = 16
x = ✓16
x = 4cm
The other leg is 4cm
Joni shouldn't have added the hypothenuse to the other leg but rather subtracted the square of the other leg from the square of the hypothenuse and then find the square root.
HHHHHHHHHEEEEEEEEEELLLLLLLLLLPPPPPPPPP ILL FAIL MY CLASSSSSSSSSSSSSS
for number 4 because it has select, the select are
first one under C) 66, 64, 67, 65
under B) 24, 23, 26, 25
under A) 15, 16, 17, 18
lowest under C) 40, 41, 42, 39
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..
also this one: Which of the following represents a Pythagorean Triple?
Group of answer choices
{21, 72, 75}
{11, 45, 60}
{5, 7, 10}
{10, 20, 30}
Answer:
I think the answer is {10,20,30} but please check it
Answer:
I only know the first one for right now and the answer is 17
Step-by-step explanation:
You got to find the value of x in the figure
To do that, you have to apply Pythagorea theorm: hyp^2=a^2+b^2. where a and b are legs of the triangle. Hyp=hypotenuse. So in conclusion you have this: x^2=8^2+15^2
x^2=64+225
x^2=289
Then it's x= 289 like this
[tex] \sqrt{289} [/tex]
Which gives you the answer 17
Let me know if this helps
If one set of opposite sides of a quadrilateral are parallel but not equal, then what would be the name of the quadrilateral??
Answer:
a trapezoid i think
Step-by-step explanation:
i hope this helps
Super sorry if if im wrong