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
In a right triangle, the measures of the two smaller angles are (3x+6) and (2x - 1)º. Find the measure of the smallest
angle in the triangle.
A. 170
B. 33°
C. 570
D. 90°
Answer:
B is the answer
Step-by-step explanation:
Since there is already a 90 degree angle in the right triangle, the other two angles must add up to 90.
[tex]3x + 6 + 2x - 1 = 90[/tex]
[tex]5x + 5 = 90[/tex]
[tex]5x = 85[/tex]
[tex]x = 17[/tex]
Plug 17 into both to find the smaller angle
[tex]3(17) + 6 = 57[/tex]
[tex]2(17) - 1 = 33[/tex]
[tex]33 < 57[/tex]
So 33 is the answer or B
10
9
.
7
29
6
5
-2-1
7 8 9 10
Which line has a greater rate of change than line q?
y=-** + 10
Oy=+*+1
Oy = ** - 1
Oy=*
What is the measure of angle L?
Round only your final answer to the nearest hundredth.
Answer:
1.27 radians
Step-by-step explanation:
You want to buy a new phone that costs $1250. Your cell phone plan allows for 15% off the price of any new phone. How much will you pay?
Answer:
$1187.5
Step-by-step explanation:
Cost of cellphone =$1250
15 percent of 1250 is =62.5
so,
1250-62.5=1187.5
I NEED HELP IVE BEEN STUCK FOR 20 MIN PLEASE
Answer: 3/4 cm³
Step-by-step explanation:
V = width x height x length
V = (1/2cm)(3cm)(1/2cm)
V = (3/2)(1/2)
V = 3/4 cm³
Carla can fill 5 glasses with soda every 20 seconds. Complete the table using equivalent ratios.
Answer:
Glasses 12 : 48 because, when you do 20/5 it equals to 4 so, the ratio will equal to seconds = Glasses • 4
44 seconds = 11 glasses
Step-by-step explanation:
Use substitution to solve the following system of equations.
x + 2y = 13
3x - 5y = 6
Answer:
{1} x + 2y = 13
{2} 3x - 5y = 6
x = 13 - 2y
substituting into {2}
3x -5y = 6
3( 13 - 2y) - 5y = 6
39 - 6y -5y = 6
-11y = 6 -39
y = -33 /-11
( minus and minus cuts in fraction, so the answer will come in positive)
y = 3
now , substituting into {1}
x + 2(3) = 13
x = 13 -6
x = 7
so,
the solution are:-
x = 7
y = 3
I hope this helps a little bit.
Sandra uses 2/25 kilogram of cocoa powder in each serving of her famous cocoa drink. She has 1 1/10 kilograms of cocoa powder. How many servings can Sandra make?
Answer:
13 servings
Step-by-step explanation:
(11/10) / (2/25)
= 13.75
She can make 13 servings [not enough to make up to 14 servings]
Please answer i need help
Answer:
[tex]\huge\boxed{\text{B) 1}}[/tex]
Step-by-step explanation:
In order to find which expression is equivalent to [tex](8^5 \times 3^{-7})^0[/tex], we need to note the order of operations.
PEMDAS tells us that when solving an equation, we'd go in this order.
Parentheses
Exponents
Multiplication/Division
Addition/Subtraction
Using this, we'd start by evaluating what's inside the parentheses, [tex]8^5 \times 3^{-7}[/tex]. We'd then bring that value to the 0th power.
Wait... there's something special about bringing anything to the 0th power. Bringing anything to the 0th power makes the value 1.
It can be -5... it can be 1,000,000, any number possible, taken to the 0th power, will always be 1.
So no matter what the value inside the parentheses is, taking it to the 0th power will always make it 1.
Therefore, this expression is equivalent to 1.
Hope this helped!
Please help me with this
Answer:the answer would also be 20 degrees
Step-by-step explanation:
because its exaclty across from the angle!!!!!
Answer:
20 degrees
Step-by-step explanation
they are opposite angles
Help Math if u dont know it plz dont answer THIS IS TIMED
Answer:
Option B will be your answer
Step-by-step explanation:
hope it helps
Answer:
B is the correct one
Step-by-step explanation:
Hope that helps
Four bags of rice and two bags of corn weigh 52 lbs. Three of the bags of rice weigh 24 lbs. What is the ratio of weight of the bag of corn to the weight of the bag of rice?
Answer:
2.1666666
Step-by-step explanation:
52÷24=2.1666666
A charity fundraiser charges 102 dollars per plate. If there are 85 guests at the fundraiser , how much money did they earn
Answer:
8,670
Step-by-step explanation:
because if 102 dollars per plate you take 102x85 = 8,670
Answer:
8670
Step-by-step explanation:
first you multiply 102 x 85 then you get 8670
plz help me With this question plz !!!!
Answer:
arc WVY = 250°
Step-by-step explanation:
The tangent- tangent angle YXW is half the difference of the intercepted arcs
[tex]\frac{1}{2}[/tex] ( WVY - WY) = 70
[tex]\frac{1}{2}[/tex] (10a - (4a + 10) ) = 70 ( multiply both sides by 2 )
10a - 4a - 10 = 140
6a - 10 = 140 ( add 10 to both sides )
6a = 150 ( divide both sides by 6 )
a = 25
Then
arc WVY = 10x = 10 × 25 = 250°
PLEASE HELP I HAVE 10 MINUTES LEFT!
label each pair of triangles with the postulate or theorem that proves the triangles are congruent.
Im actually having my teacher look at this one right now. Give me a second.. My teacher said try side angle side... I have no idea
Angela is making 25 sundaes with mint, chocolate, and vanilla ice cream. 3 5 of the sundaes are mint ice cream and 1 2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?
Answer:
5
Step-by-step explanation:
Vanilla ice cream = 3/5 x 25 = 15
Remaining = 25 - 15 = 10
Mint ice cream = 1/2 x 10 = 5
Remainder = 10 - 5 = 5 = vanilla
The ratio of students to parent's is 4:2 respectively .If there 28 students ,how many parent's are there ?
[tex]\sqrt{x} x^{2}[/tex]
A triangle has two sides of length 14 and 10. What is the smallest possible whole-number
length for the third side?
The diameter of the circular clock shown below is 10 inches.
Which measurement is closest to the area of the clock in square inches?
If I have 14 neutrons and 11 electrons, what is my mass number?
A.25
B.3
C.11
D.14
Answer:
A : 25
Step-by-step explanation:
In a neutral atom, the number of electrons is equal to the number of protons. The atomic number indicates the number of protons.
The mass number is the sum of the number of neutrons and the number of protons.
mass number=protons+neutrons
As we know from the atomic number, the number of neutrons is 14 and the number of electrons is 11.
mass number = 14 + 11
Help me please >.< It would help a lot
Answer:
8
Step-by-step explanation:
if 25 is a quarter of 100, divide 32 by 4 and you get your answer
Answer:
8/32
Step-by-step explanation:
To find the numerator, you must divide 100 by 32 which equals 3.125. And whatever you do to the bottom you must do to the top, so 25 divided by 3.125 is 8
I hope this helps ;)
what's the seventh term
1,2,3,4,5,.....
Answer:
understand
Step-by-step explanation:
hope it's helpful for you
What is the length of the hypotenuse of the triangle?
Answer:
Step-by-step explanation:
The hypotenuse has different lengths. It’s always c2 and the longest triangle length of all the triangle.
2 At the hot dog stand it costs $18.39 for five hot dogs and six bags of chips. If it costs $4.63 for
one hot dog and two bags of chips, how much is a hot dog?
Answer:
$2.25
Step-by-step explanation:
You set one of the variables equal to the other variable then plug it in to the other equation and find the value of the other to use to find for that one.
I need help with only 4,8,10 and 12 I’m marking brainlest!
Answer:
4. [tex]\frac{1}{6}[/tex]
8. [tex]\frac{1}{2}[/tex]
10. [tex]7\frac{3}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]7\frac{1}{4}[/tex]
I've answered 4, 8 and 10 for you as you haven't provided 12, but I hope this helps!! ^-^
HELP ME PLEASE!!!! I am failing this class and don’t know what to do.
The function f is given by f(x) = (x−2)(x+4)
What are the x-intercepts of the graph representing f?
Answer:
intercepts are 2 and -4
I hope this helps ;)
Would the answer be 550.25?
Answer:
$52.50
Step-by-step explanation:
1. You take 550 and divide by 5.
2. Then you would takw that number (105) and multiply by 2 (210)
3. Then you take 210 and divide by 4 which equals 52.5
4. The answer is 52.5 because she takes 1/4 of the 2/5 for vacation a month.
Could someone please explain how to get the answer of the one that has an x on it!
Answer:
A = 84.3
Step-by-step explanation:
Given the formula for the Pentagon:
1/4√5(5+2√5)a^2
The first step is to simplify the expression.
[tex]\frac{49\sqrt{25+10\sqrt{5}}}{4}[/tex]
The second step is to convert it to a decimal form.
84.30339262
The last step is to round 84.30339262.
84.3
I hope this helped!
Answer:
for second one
2.01m² is your answer
Keiko deposits $3000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 5 years?
Answer:
Step-by-step explanation:
Simple interest is not compounded and is
I=Prt (where I=interest, P=principle, r=rate, t=time)
I=3000(.02)5
I=$300