Simplify,
Rewrite the expression in the form 2n.
2.2.2.2.2.2.2.2
2.2.2.2
An expression is defined as a set of numbers, variables, and mathematical operations. The expression can be written in the form of 2ⁿ as 2⁴.
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 expression can be rewritten as,
[tex]\dfrac{2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2}{2 \cdot2 \cdot2 \cdot2} = \dfrac{2^8}{2^4} = 2^{8-4} = 2^4[/tex]
Hence, the expression can be written in the form of 2ⁿ as 2⁴.
Learn more about Expression:
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find the area of the composite shape
Answer:
96 m²
Step-by-step explanation:
To calculate the area of a composite shape, you must divide the shape into rectangles, triangles, or other shapes.
A = l × w
L = length
W = width
Find the area and then add the areas back together.
12m × 8m
= 96 m²
The area of the composite shape is 96 m²
Which of the following correctly gives the center and radius of the circle defined by the equation (x - 7)2 + (x - 2)2 = 10? A. Center: (7, 2); Radius = 100 B. Center: (7, 2); Radius = 10 C. Center: (-7, -2); Radius = 100 D. Center: (-7, -2); Radius = 10
Answer:
Center (7,2) and radius = 10
Step-by-step explanation:
Generally, we have the equation of a circle as follows;
(x-a)^2 + (y-b)^2 = r^2
where (a,b) represents the circle center and r represents the radius of the circle
Looking at the given equation of a circle, we have it that the center is (7,2) while the radius of the circle is 10
A running track design is composed of two half circles connected by two straight-line segments. Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R). If r= 30 meters and R= 33 meters, how much longer does Devin have to run to complete one lap?
Answer:
18.86 m
Step-by-step explanation:
From the given question, both covers the same distance of the straight line segment.
For the inner lane,
length of arc of its semicircle = [tex]\pi[/tex]r
= 30 x [tex]\frac{22}{7}[/tex]
= 94.2857
So that,
the total length for the two halves of the inner lane = 2 x 94.2857
= 188.5714 m
For the outer lane,
length of arc of its semicircle = [tex]\pi[/tex]r
= 33 x [tex]\frac{22}{7}[/tex]
= 103.7143
The total length for the two halves of the outer lane = 2 x 103.7143
= 207.4286 m
The difference between the two = 207.4286 - 188.5714
= 18.8572 m
Therefore, Devin would run 18.86 m more to complete one lap.
In general, describe how the outcome of the hypothesis test changes as the level of significance decreases.
Answer:
The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.
Step-by-step explanation:
As the level of significance is decreased the area for the favorable outcomes is increased. The value of ∝= 0.1 has a narrower area of favorable outcomes then the values of ∝= 0.05 or 0.01 because the value 0.1 ( 1%) is closer to the middle value or at the extreme values of the distribution as the case may be for 2 tailed or 1 tailed test.
Significance level Two tailed Test One tailed test
0.1 ± 1.645 ±1.28
0.05 ±1.96 ± 1.645
0.01 ± 2.58 ± 2.33
So if the middle point is taken as zero we see that the spread of the area of the favorable values increases as the value of ∝ significance level decreases.
The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.
What is the value of x in the figure? Enter your answer in the box.
Answer:
X = 65
Step-by-step explanation:
2(65) + 15 = 145
ur welcome
need help will give brainliest
Answer:
40.56
Step-by-step explanation:
2pir
8÷2=r=4
2pi4=25.13
25.13÷2=12.565
10+10+8+12.56=40.565
Help me please !!!!!!
Answer:
The y-int represents the base price of $200 for airfare from NYC
The slope represents a cost of 30 cents per mile traveled
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=50+0.30x
If the cost per mile changed to 50 cents, the new equation would be y=200+0.50x
Add the following weights:
5 lb 9 oz
+ 1 lb 9 oz
Ib
OZ
Place the correct symbol in the space provided: 1/2 ___ 3/8
>
<
=
Answer:
1/2 > 3/8
Step-by-step explanation:
To compare the answers, we need to change them to the same denominator.
2x4=8
So we can create an equivent fraction of 1/2 by dividing both numbers by 4:
1x4=4
2x4=8
1/4=4/8
Now we are comparing 4/8 and 3/8, and we can see clearly that 4/8 is greater than 3/8 because 4 is greater than 3.
Hope this helped!
Timothy is making a bar graph to compare how many of each type of drink he has in his cooler. He has 4 milk cartons, 12 juice boxes, 16 waters, and 20 iced teas. Which scale makes the most sense for Timothy to use with his graph?
A.
Each grid line should represent 1 type of drink.
B.
Each grid line should represent 5 types of drink.
C.
Each grid line should represent 3 types of drink.
D.
Each grid line should represent 4 types of drink.
Answer:
D. Each grid line should represent 4 types of drink.
What is the value of z in the equation 3z + 5 = 4z - 2? I NEED THE WORK
Answer:
z=7
Step-by-step explanation:
3z+5=4z-2
5=4z-2-3z
5=z-2
5+2=z
7=z
z=7
someone help me with this plss
En una tienda de antigüedades una lámpara cuesta $1956 que precios representa el 25% y el 50% del precio total
Answer:
Resultados están más abajo.
Step-by-step explanation:
Dada la siguiente información:
Costo total= $1,956
Para calculate el valor parcial, debemos usar la siguiente información:
Precio proporcional= costo total* ( 1 - porcentaje de descuento)
50%:
Precio proporcional= 1,956*(1 - 0.5)
Precio proporcional= $978
25%:
Precio proporcional= 1,956*(1 - 0.75)
Precio proporcional= $489
How many minutes are there in 12.5 hours?
Answer:
750 minutes
Step-by-step explanation:
Answer:
750 minutes would be your answer
Step-by-step explanation:
Explain why that price seems to be a linear function of the number of boxes ordered?
Heeeeeelp
Answer:
Step-by-step explanation:
Because it's adding by a constant I'm pretty sure
what is 3456 x 3 hundreds
Answer:
3456 × 300 is equal to 1036800.
Answer:
1036800 right or did i miss read the question?
Step-by-step explanation:
When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3.5 minutes. Using the empirical rule, determine the interval that represents the middle 95% of his commute times
Answer:
(34, 48)
Step-by-step explanation:
According to the Empirical Rule, 95% of normally distributed data lie within two standard deviations of the mean. That, in turn, means 95% of the data in this problem lie within 2(3.5 min), or 7 min, of the mean:
41 - 7 < mean < 41 + 7, or
34 < mean < 48, or simply (34, 48)
restaurant bill:$175 with a 20% tip what will the be the amount of tip
Answer:
$35.00
Step-by-step explanation:
175 x .20=35
Guys pls help me!!!!!!
Answer:
This would be graph A
Step-by-step explanation:
x = 2 means that it is a vertical ( up and down) line
It is a x=2
This would be graph A
Pls answer quickly I only have a 1 hr left to submit this assignment and I’m so stuck on it
Aram has been studying the mathematics behind pinball machines. He made the following diagram of one of his
observations. Determine the measure of the missing angle.
Given:
A diagram of Aram's observations.
To find:
The measure of the missing angle.
Solution:
From the given figure it is clear that the three angles [tex]52^\circ,x^\circ,68^\circ[/tex] lie on a single point and right side of a straight line.
So, the sum of angle [tex]52^\circ,x^\circ,68^\circ[/tex] must be [tex]180^\circ[/tex].
[tex]52^\circ+x^\circ+68^\circ=180^\circ[/tex]
[tex]x^\circ+120^\circ=180^\circ[/tex]
[tex]x^\circ=180^\circ-120^\circ[/tex]
[tex]x^\circ=60^\circ[/tex]
Therefore, the measure of the missing angle is [tex]x^\circ=60^\circ[/tex].
What is the probability that the dice shows a 2?
Answer:
1/6
Step-by-step explanation:
the probability of rolling a 2 is 1/6
plzzzzz help i really need it guys thxxxxxxxx!
Answer:
11. m=-1/4 b=5 equation is y=-1/4x+5
12.m=4/3 b=0 equation is y=4/3x
Step-by-step explanation:
What is the answer?
Please answer quickly!
Thank you so much
Answer:
x=11
Step-by-step explanation:
Hi, there you are using are multiplying so you have to add the exponets 3 and 8 which would equal to 11
5.
Write the inequality in words.
3n < 52
A. fifty-two less than three times n
B. Three times n is less than or equal to fifty-two.
C. Three times n is less than fifty-two.
D. Three times n is greater than fifty-two.
Answer:
C
Step-by-step explanation:
3n= 3 times n
And it is less than 52
Answer:
C. Three times n is less than fifty-two.
Step-by-step explanation:
Solve X
5x + 15 = 35
Answer:
x = 4
Step-by-step explanation:
5x + 15 = 35
subtract 15 from each side of the equation:
5x = 20
divide both sides by 5:
x = 4
4 (– 2а – 6b + 5а — 1)
Answer:
Evaluate: 12a - 24b - 4
Pythagorean Theorem
Riley owns an orchard that has a rectangular fence. The orchard is 36 yards long and 18
yards wide. If she walks across the diagonal length of the orchard, how much distance
would she cover?
Answer:
40.25 yds to the the nearest 100th
Step-by-step explanation:
The diagonal forms a right triangle with the length and width.
The diagonal is the hypotenuse
So, let d = the diagonal distance
[tex]d^{2}[/tex] = [tex]18^{2} + 36^{2}[/tex]
= 324 + 1296
= 1620
d = [tex]\sqrt{1620}[/tex] = 40.25 yds to the the nearest 100th
A. (-5,-)
B. (-2,-4)
C. (1.-6)
D. (-5.-5)
