2^3*2^2 first the exponets
8*4 then do the multplication
=32
The Expression came in two parts, we begin by resolving them independently and multiplying the end results, the final answer is 32
Given Data
The expression is given as 2^3*2^2
We have two parts
Let us resolve the squares first then multiply the results, this will lead us to the final answer
2^3*2^2 = 8*4
2^3*2^2 = 32
From the given options the answer is 2. 32
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What fraction of 3 is 2 2/5
Answer: 2 2/5 is 4/5 of 3
Step-by-step explanation:
We can view that as what do we multiply 3 by to get 2 2/5 and call that value x
3x = 2 2/5
x = (2 2/5)/3
Let's turn 2 2/5 into an improper fraction... 2 2/5 = 12/5
So we have
x = (12/5)/3 = (12/5)(1/3) = 4/5
Thus 2 2/5 is 4/5 of 3
Verify: 3(4/5) = 12/5 = 2 2/5
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Viewer's Age Group Excellent Good Average Poor Marginal Total
16–25 52 42 12 7 113
26–35 33 50 5 9 97
36–45 58 12 28 34 132
46–55 25 17 22 12 76
56+ 12 5 3 8 28
Marginal Total 180 126 70 70 446
Note: A rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked the movie.
A movie producer conducted a survey after a preview screening of her new movie to find out how the film would be received by viewers from different age groups. The table shows the numbers of viewers in different age groups who rated the film excellent, good, average, and poor.
Out of the total respondents, what is the the percentage of respondents from the 26–35 age group who rated the film good?
Write your answer up to two decimal places.
Using the percentage concept, it is found that 51.54% of respondents from the 26–35 age group rated the film good.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem:
There is a total of 97 people in the 26–35 age group, hence b = 97.Of those, 50 rated the film as good, hence a = 50.Then:
[tex]P = \frac{50}{97} \times 100\% = 51.54\%[/tex]
51.54% of respondents from the 26–35 age group rated the film good.
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Give a quick explain of how Christmas gifts have become so commonplace???? Having trouble figuring it out
Gift-giving in general is an ancient tradition that came to be associated with the Christian feast of Christmas. In ancient Rome, gift giving might have occurred near the winter solstice in December which was celebrated during the Saturnalia holiday.
Step-by-step explanation:
Which expression represents the area of a square with sides of length 3xy??
*9x^2y^2
* 6x^2y^4
*6x^2y^2
*9x^2y^4
Answer:
9x^2y^2
Step-by-step explanation:
Ok so to find the area of a square we have to square the side length. So 3xy*3xy = 9x^2y^2 because 3*3=9, x*x=x^2, and y*y=y^2.
One night it snowed 1 foot and then it snowed 3 inches what is the total snow fall
Answer:
1ft and 3in or 1 1/4ft
Step-by-step explanation:
1ft
12 individed by 3=4in
3 times 4=12 so 1ft and 3in is 1 1/4ft
PLEASE HELP ASAP ( Will give brainlist)
Number in perenthesis is: to the power
A new operation is defined by a△ b = a(2) - b / b- a(2) . Find the following
values.
2 △ 1/2
5 △ (−3)
Answer:
-1-1Step-by-step explanation:
The expression simplifies as follows:
aΔb = (a² -b)/(b -a²) = -(b -a²)/(b -a²) = -1 . . . . . for b≠a²
That is, for any values of 'a' and 'b', the expression evaluates to -1.
2 Δ 1/2 = -1
5 Δ -3 = -1
_____
Additional comment
The purpose of simplifying the expression is to avoid having to do unnecessary arithmetic. If you actually want to see the arithmetic, it looks like this:
2 Δ 1/2 = (2² -(1/2))/(1/2 -2²) = (7/2)/(-7/2) = -1
5 Δ -3 = (5² -(-3))/(-3 -5²) = 28/-28 = -1
Someone please help :)
Both pls :))
Answer:
10. -1 11. -4 12. Yes
Step-by-step explanation:
these figures are congruent. identify the transformations that move figure A onto figure B and then onto figure C brainly.
The figures are congruent by the transformation rule: Rotation and Reflection that is option B.
What is transformation?In mathematics, a transformation refers to a function that maps elements from one set to another set. The term is commonly used to describe a change in the position, shape, or size of a geometric figure, often in the context of coordinate geometry or linear algebra. In coordinate geometry, a transformation can be thought of as a change in the position or orientation of a figure on the coordinate plane. For example, a translation is a transformation that shifts a figure a certain distance horizontally and/or vertically, while a rotation is a transformation that turns a figure by a certain angle around a given point.
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A water tank initially contained 120 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute.
How many liters of water are in the tank after 87 seconds? Round answers to the nearest whole liter.
Answer: 130
Step-by-step explanation: the answer is 130 because the water tank already has 120 liters and because it fills up 9 liters per minute after 87 seconds the answer would round up to 130.
Have a great day!!!
Which of these is the algebraic expression for "eight less than some number?"
8-b
b-8
8/b
b/8
Answer:
b - 8
Step-by-step explanation:
When it said less than it means subtraction. Now some number can be define as a variable, in this case, b. Eight less than some number meaning it cannot be larger than some number therefore: (b - 8) is the correct answer.
What is the slope of the line x
=-1?
Answer:
Undefined
Step-by-step explanation:
The area of a parallelogram is six square units. Both the height and the length of the base are whole numbers. What are the possible length and height?
well, the area of a parallelogram is simply A = bh.
we know that "b" and "h" are whole numbers or namely integers, and we know the area is 6, doing a quick prime factoring of 6 we simply get
6 = 2 * 3
2 and 3 are both prime, in how many ways can we arrange them? just 2 and 3 or 3 and 2, so those are the only possible values for "b" and "h".
7(4+3 x 2) show steps
21
Step-by-step explanation:
pemdas 4+3=7 then multiply 7×2=14 then add 14 to 21 ehich equals 21
Answer:
98.Step-by-step explanation:
Given equation:
7*(4 + 3 * 2)Solve:
7*(4 + 3 * 2)= 4 + 3 * 2= 7 * 14= 98.Answer is 98.
What is the measurement of these congruent angles ?
Answer:
x = 5 \ 65°
Step-by-step explanation:
(14(5)-5)° = (13(5))°
(70-5)° = 65°
65° = 65°
the measurement of the congruent angles are 65°
hope it's helpful :)))
Answer:
65°Step-by-step explanation:
What is the measurement of these congruent angles ?
14x - 5 = 13x
14x - 13x = 5
x = 5
-----------------------
check & angles
14 * 5 - 5 = 13 * 5
65 = 65
the answer is good
-----------------------------
Zach gave 2/8 of his coin collection to his sister and 4/8 to his friend. What fraction of the collection did he give away? Show working too
Subract the fractions
7 /8- 4/8
910- 35
Answer:
2/8 for sister + 4/8 for friend =6/8
he gave 6/8 0f his collection away
Help me please and thank you:3
Answer: Hey I don't have answer but there a app called Calculator soup and its very helpful also I'm not a bot :]
Step-by-step explanation:
Solve ASap with explanation
Answer:
B and D
Step-by-step explanation:
A: 3x-27
B: 9x-27
C: 9x-21
D: 9x-27
E: 9x-3x
Answer:
Option B Option DStep-by-step explanation:
We know that the terms of the expression are divisible by 9. Let's factor them.
9x - 27 = 3(3x - 9) = 9(x - 3)Now, let's verify all the options.
________________________________________________Option-A: This expression does not match with the above details. Hence, this is incorrect.Option-B: This expression matches with the above details. Hence, this is correct.Option-C: This expression does not match with the above details. Hence, this is incorrect.Option-D: This expression matches with the above details. Hence, this is correct.Option-E: This expression does not match with the above details. Hence, this is incorrect.________________________________________________After reviewing all options, we can conclude that Option B and D are correct.
Look at the figure below: Triangle ABC has the measure of angle ACB equal to 45 degrees. D is a point on side AC. Points B and D are joined by a straight Make a two-column proof showing statements and reasons to prove that triangle ABD is similar to triangle ACB. (10 points)
Here the answer.
I hope it helps you.
On a field trip, there must be on adult for every 8 students. If 32 students go on the field trip, how many adults must attend?
Answer:
4 adults
Step-by-step explanation:
To find the number of adults, you simply take the total number of students divided by the number of students you want in a group.
So you would just do:
32/8
Answer:
32/8=4 adults that are able to attend
Accurately construct triangle ABC using
the information below.
AB = 8 cm
AC
= 5 cm
Angle BAC = 70°
Measure the size of angle ACB to the nearest degree
The measure of the size of angle ACB to the nearest degree is 35.94°.
What is sine rule?Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
The formula for sine rule is sinA/a=sinB/b=sinC/c
In the given triangle ABC, AB=8 cm, AC=5 cm and ∠BAC = 70°.
Now, sin70°/8=sinC/5
⇒ 0.9397/8 =sinC/5
⇒ sinC/5=0.1174
⇒ sinC=0.5873
⇒ C=35.94°
Therefore, the measure of the size of angle ACB to the nearest degree is 35.94°.
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5. Describe a line with a positive, negative, O and undefined slope.
ALGEBRA I Semester 1
Answer:
A line that has a positive slope would rise upwards from left to right of the graph, increasing.
A line that has a negative slope would fall downwards from left to right of the graph, decreasing.
A line that has an undefined slope would look like a straight (horizontal/vertical) line from left to right/bottom to the top of the graph, neither increasing nor decreasing.
You saved $260 on your new laptop because you bought it online. If this was a 5% savings from the original price, find the original cost of the laptop.
Answer:
The original cost of the laptop was $5200
Step-by-step explanation:
we can set up an algebraic equation and solve for the variable.
the variable is going to be the original price because that is what we need to find.
So, x= the original cost of the laptop
let's also convert 5% to a decimal by moving the decimal 2 to the left. So 5% is 0.05
0.05x=260 divide both sides by 0.05 to isolate the variable
0.05x/0.05= 260/0.05
x=5200
We can also check our work by taking 5% of 5200. And 5% of 5200 is 260. In other words, if the laptop cost $5200, buying it online at a 5% savings would save you $260
thanks for the help!
Answer:
x = 2
Step-by-step explanation:
2x = 16 - 8x + x^2
x = 8, x = 2
x=2
HELP HELP PLEASE!!
What is the measure of P?
Step-by-step explanation:
The answer is 29 degrees because the outer angle is equal to the inner angles, so the equation would be:
G=P+R and if you substitute you get 56=P+27
Solve it and you get:
P=56-27
P=29
Please give me Brainliest!
(FOR K-12 STUDENTS) Keith correctly determined the area of this parallelogram by adding the areas of the triangles and rectangle.
How did Keith determine the area?
(THIS IS FOR ANY K-12 STUDENT TO HELP!!)
Answer: 56 14 84 in order
Step-by-step explanation:
8 x 7 = 56 so it is in the first box
4 x 7 / 2 = 14 so it is in the second box
56 + 14 + 14 = 84 so it is in the third and last box
The area of the parallelogram using area of rectangle and area of two triangles is 84 m²
How to find area of a parallelogramArea of a rectangle = length × width= 8m × 7m
= 56 m²
Area of each triangle = 1/2 × base × height= 1/2 × 4m × 7m
= 1/2 × 28
= 14m²
Total area of triangles = 2(14 m²)= 28 m²
Area of parallelogram = area of rectangle + area of two triangles= 56 m² + 28 m²
= 84 m²
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Find the 8th term of the geometric sequence –4, 12, –36, 108, –324,
Answer:
pls mark me as brainliest
Step-by-step explanation:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
3
gives the next term. In other words,
a
n
=
a
1
⋅
r
n
−
1
.
Geometric Sequence:
r
=
3
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
Substitute in the values of
a
1
=
4
and
r
=
3
.
a
n
=
(
4
)
⋅
(
3
)
n
−
1
Remove parentheses.
a
n
=
4
⋅
3
n
−
1
Substitute in the value of
n
to find the
n
th term.
a
8
=
4
⋅
3
(
8
)
−
1
Subtract
1
from
8
.
a
8
=
4
⋅
3
7
Raise
3
to the power of
7
.
a
8
=
4
⋅
2187
Multiply
4
by
2187
.
a
8
=
8748
The National Sleep Foundation reported that teenagers need $9\frac{1}{4}$ hours of sleep every night to perform at their best during the day, and that it isn't natural for teenagers to be able to fall asleep before 11:00 at night. My alarm goes off at 6:20 a.m. on weekdays. Even if I fell asleep at exactly 11:00 on the school nights, how far under the $9\frac{1}{4}$ quota would I be? Give your answer in hours as a mixed number. (Assume that I am a teenager.)
Sleeping from 11:00 to 6:20 gets me
7+20/60=7 1/3 hours.
That leaves a sleep deficit of
9 1/4 - 7 1/3 = 9 3/12 - 7 4/12
(8+1) + 3/12-7 4/12=8 (12+3)/12 - 7 4/12
8 15/12 - 74/12 = 1 11/12 hours.Note: This is also 1 hour and 55 minutes.Answer:
Step-by-step explanation:
stop asking people to do your work is that what you said
(2 x 1 )+ (6 x 1/1000) in a standard form
Answer:
(2 x 1) + (6 x 1/1,000)
2 + (6)(0.001)
2 + 0.006
2.006
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression (2 x 1 )+ (6 x 1/1000) can be written in the standard form as 2.006.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression (2 x 1 )+ (6 x 1/1000) can be written in the standard form as,
(2 x 1 )+ (6 x 1/1000)
= (2) + (6/1000)
= 2 + 0.006
= 2.006
Hence, The given expression (2 x 1 )+ (6 x 1/1000) can be written in the standard form as 2.006.
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2 cups of flour makes of a loaf of bread.
How much flour is needed for 1 whole loaf?
Answer:
...2
Step-by-step explanation:
if 2 cups of flour makes one loaf, then 2 cups is flour is needed for one loaf...?
Match each graph with the correct equation written in
standard form. Explain your reasoning.
The graphs and their equations are:
Line 1: 6x - 2y = -10Line 2: 9x - 9y = -45Line 3: 3x - 12y = -60How to determine the equations of the graphsThe three lines are linear equations, because they are all straight lines.
Also, the lines have the same y-intercept (this is so, because they cross the y-axis at the same point), but they have the same slope
Next, we rewrite the equations in slope-intercept form.
So, we have:
[tex]3x - 12y = -60[/tex]
Divide through by -12
[tex]-0.25x +y = 5[/tex]
Make y the subject
[tex]y = 0.25x + 5[/tex]
[tex]6x - 2y = -10[/tex]
Divide through by 2
[tex]3x - y = -5[/tex]
Make y the subject
[tex]y = 3x + 5[/tex]
[tex]9x - 9y = -45[/tex]
Divide through by -9
[tex]-x + y = 5[/tex]
Make y the subject
[tex]y = x + 5[/tex]
Line 1 has the highest slope, while line 3 has the least slope.
So, we have the following equations:
Line 1: 6x - 2y = -10Line 2: 9x - 9y = -45Line 3: 3x - 12y = -60Read more about linear equations at:
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