Answer:
π^3x^4.
Step-by-step explanation:
Required product is [tex] {(\pi)}^{3}\times {x}^{4} [/tex]
What is exponents ?
Meaning of an exponent is the number of times a number is multiplied by itself.
An exponent is defined as a method of expressing large numbers in terms of powers. That is, the exponent refers to how many times a number is multiplied by itself. For example, 6 is multiplied by itself 4 times, i.e. 6 x 6 x 6 x 6. This can be written as 64. Here, 4 is the exponent and 6 is the base. It can be read by raising 6 to 4 degrees.
By some examples we can understand this concept.
Example -1,
[tex]2 \times 2 \times 2 = {2}^{3} [/tex]
Example -2,
[tex]5 \times 5 \times 5 \times 5 = {5}^{4} [/tex]
Example-3,
[tex]8 \times 8 \times 8 \times 6 \times 6 = {8}^{3} \times {6}^{2} [/tex]
We want to find what is the product of π⋅π⋅π⋅x⋅x⋅x⋅x using exponents.
Given, [tex]\pi.\pi.\pi.x.x.x.x[/tex]
Here,
[tex]\pi.\pi.\pi.x.x.x.x \\ = {\pi}^{3} \times {x}^{4} [/tex]
Therefore,required product is [tex] {(\pi)}^{3}\times {x}^{4} [/tex]
Exponent related one more question:
https://brainly.com/question/219134
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Tell whether the given ordered pair is a solution of the equation 4y + 2x = 3; (1.5,0)
Answer:
Yes, it is a solution
Step-by-step explanation:
Plug the given (x, y) point of (1.5, 0) into the equation to find out...
4(0) + 2(1.5) = 3
0 + 3 = 3
3 = 3
The given ordered pair (1.5,0) is a solution of the equation 4y + 2x = 3.
What does the solution of an equation mean?The solution of an equation, when substituted makes the left-hand side equal to the right-hand side. It is the value for which the LHS = RHS.
We can determine whether the ordered pair is a solution as shown below:The equation is 4y + 2x = 3.
The given ordered pair is (x,y) = (1.5,0). Now substitute the values of x and y.
4y + 2x = 3
⇒ 4(0) + 2(1.5) = 3
⇒ 0 + 3 = 3
⇒ 3 = 3
Therefore, we have determined that the given ordered pair (1.5,0) is a solution of the equation 4y + 2x = 3.
Learn more about the solution of an equation here: https://brainly.com/question/25678139
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Use the distributive property to write an expression equivalent to m x 49
Answer:
1(m x 49)
Step-by-step explanation:
You cannot do too much with this problem, however multiplying by one will give you the same answer.
How much money will you have if you started with $1250 and put it in an account that earned 6.7% every year for 14 years?
Answer:
$3098.93
Step-by-step explanation:
We can use the formula for compound growth to solve this. The formula is:
[tex]F=P(1+r)^t[/tex]
Where
F is the future value (the value at end of 14 years, our answer)
P is the initial amount invested ($1250)
r is the interest rate, in decimal (6.7% is 0.067)
t is the time in years (14, in our case)
Plugging in all the information we have:
[tex]F=P(1+r)^t\\F=1250(1+0.067)^14\\F=1250(1.067)^14\\F=3098.93[/tex]
The account will accrue $3098.93 after 14 years.
Solve for “a”
a - 40 = 21
Answer:
a = 61
Step-by-step explanation:
Isolate the variable a by adding 40 to each side.
a = 21 + 40
a = 61
A certain type of bacterial cell divides into two cells every hour. So, in a colony of these cells, the population doubles every hour. ANSWER QUICK AND PLEASE BE RIGHT.
Which of the following describes the rate of population growth in this colony?
A. linear
B. both linear and nonlinear
C. nonlinear
D. neither linear nor nonlinear
Answer:
I don't fully know but my best guess would be Linear?
Step-by-step explanation:
Answer: the answer is nonlinear
Step-by-step explanation:
3.Find the length of the missing side the triangle is not drawn to scale 37 and 35
The length of the missing side is 12.
The length of the missing side of the triangle can be calculated using pythagoras rule ;
Adjacent² = hypotenus² - opposite²
Substituting our values ;
a² = 37² - 35²
a² = 1369 - 1225
a² = 144
Take the square root of both sides ;
a = √144
a = 12
Hence, the length of the missing side is 12.
Basd on the right-angled triangle, the length of the missing side is equal to 12 units.
In Mathematics and Euclidean Geometry, Pythagorean theorem can be represented by the following mathematical equation (formula):
[tex]z^2=x^2 + y^2[/tex]
Where:
x is the opposite side of a right-angled triangle.
y is the adjacent side of a right-angled triangle.
z is the hypotenuse of a right-angled triangle.
Note: Let the variable "x" represent the missing side length.
In order to determine the missing side length, we would have to apply Pythagorean's theorem as follows;
[tex]37^2=x^{2} +35^2\\\\x^2=37^2-35^2\\\\x^{2} =1369-1225\\\\x^{2} =144\\\\x=\sqrt{144}[/tex]
x = 12 units.
Please help! Question is in the image! Will mark brainest
Answer:
−8x−8x+13
for the first -8x it has a 2 for an exponient
hope im not you late :)
Is a centimeter more or less then a meter
Answer:
A meter is 100 times larger than a centimeter
Step-by-step explanation:
A meter is larger than a cm. u can try it on a ruler. look at the cm notice how it is smaller than a meter.
Answer:
It depends.
Step-by-step explanation:
I won't say centimeter is less or more than a meter, because 1 meter is equal to 100 center centimeter. But when you compare different measurement it can, for example:
2 m = 200 cm (Both are same)
3 m > 250 cm (m is greater, actually 3m = 300 cm)
4 m < 450 cm (cm is greater, 4 m = 400 cm)
//Hope it helps.
event q is more likely to occur then event t. the probability of event t is 1/2. what is a possible probability of event q?
Among the given options, option C) 2/3 is a possible probability for event Q that is greater than 1/2. Therefore, the correct answer is C) 2/3.
If event Q is more likely to occur than event T and the probability of event T is 1/2, then a possible probability of event Q could be any value greater than 1/2.
Let's dive deeper into the concept of probability and explore why option C) 2/3 is a possible probability for event Q.
When we say that event Q is more likely to occur than event T, it means that the probability of event Q is greater than the probability of event T. In this case, we are given that the probability of event T is 1/2.
To find a possible probability for event Q, select a value greater than 1/2. Option C) 2/3 fits this criterion. It indicates that event Q has a probability of 2/3, which is greater than 1/2.
Complete question
Event Q is more likely to occur than Event T. If P(Event T) = 1/2, what is a possible probability of Event Q? A)1/4 B)1/2 C)2/3 D)It cannot be determined.
The possible probability of event q is is [tex]\(\frac{3}{4}\).[/tex]
Since event Q is more likely than event T, the probability of event Q must be greater than the probability of event T.
The probability of event T is [tex]\(\frac{1}{2}\),[/tex] so the probability of event Q must be greater than [tex]\(\frac{1}{2}\).[/tex]
This satisfies the condition that event Q is more likely than event T because [tex]\(\frac{3}{4}\) (or 0.75)[/tex] is greater than [tex]\(\frac{1}{2}\) (or 0.5).[/tex]
It is important to note that there are infinitely many probabilities that are greater than [tex]\(\frac{1}{2}\)[/tex] and less than or equal to 1 (the maximum probability for any event).
However, the question asks for a possible probability, and [tex]\(\frac{3}{4}\) is[/tex] a valid example that meets the given criteria.
Which of the following options have the same value as 25% of 64?
Choose 2 answers:
A) 25 • 64
B) 25/100 • 64
C) .25 • 64
D) 64 divided by 25/100
E) 25 divided by 64/100
Answer:
A) 25 • 64
B) 25/100 • 64
C) .25 • 64
D) 64 divided by 25/100
E) 25 divided by 64/100
B and C i believe
The values that have the same value as 25% of 64 are Options B) 25/100 · 64 and C) .25 · 64, both yielding the correct value of 16 when calculated.
Explanation:To find the same value as 25% of 64, we need to express 25% in different formats and apply it to 64. Option B) 25/100 · 64 translates the percent into a fraction, then multiplies by 64. Option C) .25 · 64 converts the percentage directly into a decimal, again multiplying by 64. Both expressions will yield the same result, which is the value of 25% of 64.
Options A), D), and E) do not give the correct value. A) is simply multiplication without considering the percentage, D) is incorrect because dividing 64 by a fraction is equivalent to multiplying by its reciprocal, and E) is an incorrect fraction division that does not represent 25% of 64.
Therefore, the correct answers are B) and C).
NEED HELP PLEASE!!!!!
Write an equation for g(u) in terms of u.
-3u + 6 = 18v - 6
Answer:
-1/6 u + 2/3 = v
Step-by-step explanation:
You can solve for v here so that the equation is in terms of u.
-3u + 6 = 18v - 6 Add 6 to both sides
-3u + 12 = 18v Divide everything by 18
-3/18 u + 12/18 = v Simplify fractions
-1/6 u + 2/3 = v
B=pw+p, for w. What is the solution for w?
Answer:
B/p -1 =w
Step-by-step explanation:
B=pw+p
Subtract p from each side
B-p=pw+p-p
B-p=pw
Divide each side by p
(B-p) /p = pw/p
(B-p) /p = w
B/p -1 =w
494.4 80% of what amount
80% × 494.4 =
(80 ÷ 100) × 494.4 =
(80 × 494.4) ÷ 100 =
39,552 ÷ 100 =
395.52;
proof
395.52 ÷ 494.4 =
0.8 =
0.8 × 100/100 =
0.8 × 100% =
(0.8 × 100)% =
80%
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Plz help me with it
Answer: 3
Step-by-step explanation:
[tex]\sqrt{x+8}=\sqrt{2x+5}\\\\(\sqrt{x+8})^2=(\sqrt{2x+5})^2\\\\x+8=2x+5\\\\8=x+5\\\\3=x\\\\\\Check:\\\sqrt{(3)+8}=\sqrt{2(3)+5}\\\\\sqrt{11}=\sqrt{11}\ \checkmark[/tex]
Find the sum of the even numbers shown below. 2+4+6+8+...+66+68+70
The sum its +2
2+2=4
4+2=6
6+2=8
8+2=10
And so on the numbers just keep sum for 2
Final answer:
To find the sum of even numbers from 2 to 70, we use the arithmetic sequence sum formula, resulting in a total sum of 1260.
Explanation:
The student's question is asking to find the sum of even numbers from 2 to 70. To do this, we can recognize that this is an arithmetic sequence, where the first term (a1) is 2, the last term (an) is 70, and the common difference (d) is 2, as we are stepping through even numbers only. This sequence has (70/2) terms, which gives us 35 terms.
The sum of an arithmetic sequence is given by the formula S = n/2 (a1 + an), where S is the sum, n is the number of terms, a1 is the first term, and an is the last term. By applying this formula, we can calculate the sum as follows: S = 35/2 (2 + 70) = 35 (72/2) = 35 (36) = 1260.
Therefore, the sum of the even numbers from 2 to 70 is 1260.
Answer this for a million Points!
Answer:
1, 2, 3
Step-by-step explanation:
Half of 2 is 1.
Half of 4 is 2.
Half of 6 is 3.
Answer:
x y
2 1
4 2
6 3
Step-by-step explanation:
y is one half as much as x
so y = 1/2 x
when x = 2; y = 1/2 (2) = 1
when x = 4 ; y = 1/2 (4) = 2
when x = 6; y = 1/2 (6) = 3
Find the value of 4!.
Answer:
24
Step-by-step explanation:
Hello
The concept is factorial number, so:
4! = 4*3*2*1 = 24
Best regards
Answer:
A) 24
Step-by-step explanation:
using n × ( n - 1)×...× 2 × 1
4 × 3 × 2 × 1 = 24
Need help ASAP ?!?!?!??!?!??!!?!?!?!?!
Answer:
Step-by-step explanation:
Answer:
[tex]96units^2[/tex]
Step-by-step explanation:
The total surface area of a cube is given by [tex]6l^2[/tex].
The first cube has side length [tex]l=6[/tex] units.
This cube has total surface area, [tex]6(6)^2=216units^2[/tex].
If the second cube is reduced in size by [tex]\frac{2}{3}[/tex], then the corresponding change in area is [tex]\frac{2^2}{3^2}=\frac{4}{9}[/tex].
the total surface area of the new cube is [tex]=\frac{4}{9}\times 216[/tex].
[tex]=96units^2[/tex]
Find the perimeter of a square that is 3 and 3/4 in on a side.
A) 7 1/2 inches
B) 15 inches
C)12 3/4 inches
D)30 inches
Perimeter is the sum of all four sides.
A square has 4 equal sides, so all the sides of the square are 3 3/4 inches.
Perimeter = 3 3/4 x 4 = 15 inches.
What number is 40% of 200
That number is 80.
Move 40 two decimal places to the left:
0.40
Multiply
0.40 × 200
This equals
80
Answer: 80
Step-by-step explanation:
(40/100)*200
HELP ME PLZ
******************
Answer:
504 km
Step-by-step explanation:
divide 180 by 15 (because 3 hours is 180 minutes)
after you divide you get 12
then multiply 12 by the 42 kilometers and you get 504
Answer:
504 km
Step-by-step explanation:
What is 72 x 1/4?
I have no clue!
Answer:
18
Step-by-step explanation:
Honestly you can just use a calculator for this.
But if you want to know how to actually do it, multiplying something by a fraction is just dividing it by its reciprocal (just flipping the numerator and the denominator).
Therefore...
72/4 is 18, 72 x 1/4 = 18
Answer:
without a calculator u can solve by divideing 72 by 4
answer is 18
a window in the shape of a parallelogram has the dimensions given
what’s the area of this window
A. 20
B. 24
C. 28
D. 40
The wrong answer is d
What is 47000000 in scientific notation
Answer:
Step-by-step explanation:
[tex]4.7 * 10^{7}[/tex]
Answer:
4.7 * 10^7
Step-by-step explanation:
Put a decimal at the end.
47 000 000.
Count the places to the left of the decimal.
There are 6 zeros and one more place to get a number between 1 and 10.
1 ≤ x < 10 ( note that 10 is not included).
There are 6 + 1 places to move.
Answer: 4.7 * 10^7
Which are solutions to 3sin^2 θ - 2sin θ = 0, 90°≤θ≤90°
Answer:
The solutions of the equation are -41.8° , 0.0° , 41.8°
Step-by-step explanation:
∵ 3 sin²Ф - 2 sinФ = 0 is a quadratic function
∵ The domain of the function is -90° ≤ Ф ≤ 90°
- Lets take sinФ as a common factor
∴ sinФ (3 sinФ - 2) = 0
- Two terms multiplied by each other = 0
∴ One of them must be equal zero
∴ sinФ = 0 or 3 sinФ - 2 = 0
- If sinФ = 0 ⇒ Ф = 0.0°
- If 3 sinФ - 2 = 0 ⇒ 3 sinФ = 2 ⇒ sin Ф = 2/3
∵ sinФ 2/3
∴ Ф = 41.8° ⇒ Ф ≤ 90° (in first quadrant)
∵ -90° ≤ Ф ≤ 90°
∴ Ф = -41.8° ⇒ Ф ≥ -90° (in fourth quadrant)
∴ The solutions of the equation are -41.8° , 0.0° , 41.8°
Step-by-step explanation:
Correct Answer is B and C 0.0, and 41.8
The formula for the area of a triangle is a=1/2bh. Hiro is solving the equation for h; his work is shown below. What mistake did Hiro make?
a=1/2bh
2(x)a=2(x)(1/2bh)
2a=bh
2a-b=h
(x) is multiplication sign btw
Hiro should have divided both sides of the equation by 2. Hiro should have divided both sides of the equation by b. Hiro should have added b to both sides of the equation. Hiro should have subtracted 2 from both sides of the equation.
Example
If b = 5 and h = 10
a = 1/2 * b * h
a = 1/2 * 5 * 10
a = 25
2a = 2 (1/2 * b * h)
2 * 25 = 2 (1/2 * 5 * 10)
50 = 2 (25)
50 = 50
2a = b * h
2 * 25 = 5 * 10
50 = 50
2a - b = h
2 * 25 - 5 = 10
50 - 5 = 12
45 = 10
This is false.
If Hiro divided both sides by 2 instead:
2a ÷ 2 = b * h ÷ 2
2 * 25 ÷ 2 = 5 * 10 ÷ 2
50 ÷ 2 = 50 ÷ 2
25 = 25
Answer:
Hiro should divide both sides by 2.
Step-by-step explanation:
Jack is mowing lawns. He mows lawns at a constant rate of 1/3 acre every 3/4 hour. At this rate, which fraction represents the acres Jack can mow per hour?
Answer:
1/4 acre every 1 hour
Step-by-step explanation:
divide 1/3 with 3/4 to find unit rate
Answer:
[tex]\frac{4}{9}acres/hr[/tex]
Step-by-step explanation:
Givens
The constant rate is 1/3 acre per every 3/4 hour.To find the fraction that represents the constant per hour, we just need to divide both expression, like this
[tex]\frac{1}{3}acre \div \frac{3}{4}hr=\frac{1}{3}\times \frac{4}{3} =\frac{4}{9}acres/hr[/tex]
Therefore, the expression that represents the acres Jack can mow per hour is
[tex]\frac{4}{9}acres/hr[/tex]
you are stacking boxes that have 250 boxes to load, at the end of the shift you have 17 complete loads of boxes and 141 boxes as a partial load. how many total boxes did you stack for the day
Answer:
92
Step-by-step explanation:
question how many total boxes did u stack one day?
how i subtracted 250-12=233
then 233-141= 92
92 boxes stacked
What is the pattern in the values as the exponents increase?
Answer:
"Multiply the previous value by 2"
Step-by-step explanation:
Let's check the first 2 terms for all the answer choices.
1. Add [tex]\frac{1}{16}[/tex] to the previous value:
[tex]\frac{1}{32}+\frac{1}{16}=\frac{3}{32}[/tex]
Doesn't match.
2. Subtract [tex]\frac{1}{16}[/tex] from the previous value:
[tex]\frac{1}{32}-\frac{1}{16}=-\frac{1}{32}[/tex]
Doesn't match.
3. Divide the previous value by 2:
[tex]\frac{\frac{1}{32}}{2}\\=\frac{1}{32}*\frac{1}{2}=\frac{1}{64}[/tex]
Doesn't match.
4. Multiply the previous value by 2:
[tex]\frac{1}{32}*2=\frac{2}{32}=\frac{1}{16}[/tex]
DOES WORK!
Also, doing the same thing with all the other values would give us matching answer. So this choice is right.
15-1.3
[tex]15 - 1.3 = [/tex]
Answer:
13.7
Step-by-step explanation:
Rewrite 15 - 1.3 as 15.0 - 1.3.
Then rewrite this result as
15.0
- 1.3
--------
and subtract as indicated.
First note that 15-1 = 14, and that 15-2= 13. Thus, the correct answer will be between 13 and 14.
Subtract:
15.0
- 1.3
--------
This results in 13.7.
15 - 1.3 simplifies to 13.7 is the numeric result obtained after subtracting 1.3 from 15.
When we simplify the expression 15 - 1.3, we are performing basic arithmetic operations, specifically subtraction.
The step-by-step process is:
1. Write down the expression: 15 - 1.3
2. Perform the subtraction: Subtract 1.3 from 15
15 - 1.3 = 13.7
The result 13.7 is the difference between 15 and 1.3.