Answer:
(2×10^8)(2×10^-2)40×10^51.2×10^9/(3×10^2)Step-by-step explanation:
Your calculator or a spreadsheet can help you do this. The rules of exponents apply.
(10^a)(10^b) = 10^(a+b)
__
(2×10^8)(2×10^-2) = 4×10^6
40×10^5 = 4×10^6
40^6 = 4.096×10^9
400,000 = 4×10^5
1.2×10^9/3×10^2 = 4×10^10 or 1.2×10^9/(3×10^2) = 4×10^6 (see note)
_____
Note: A multiplier that is a power of 10 is one factor of a product. A product does not go into the denominator of a fraction unless it has parentheses around it. a/bc = (a/b)c ≠ a/(bc) (This is a consequence of the Order of Operations.)
Find the value of x in the triangle shown below 8 2
Answer:
8.25
Step-by-step explanation:
(8x 8) + (2x2) = x ^2
64 + 4 = x2
x = √68
x = 8.25
NEED HELP ASAP!!! 30 POINTS
1. Your mission is to dilate the rectangle shown below by a scale factor of 8, due to working off a 1/8th model.
(a) Calculate the length of each side of the dilated image you’ve created, and make certain to include your work below. You’ll need this for Part B.
(b) Draw the new image, label it, and put the measurements you calculated in Part A on your new figure with the appropriate units.
Answer:
Answer:
The dimensions of the rectangle dilated by a scale factor of 8 are 120 cm x 64 cm
Step-by-step explanation:
To dilate the rectangle, we multiply the value of its measurements by the scale factor, which is 8 in this case.
a) Length of each side
side AB = side CB = 15 cm
side AC = side BD = 8 cm
New measures
side A'B' = side C'B' = 15 * 8 = 120 cm
side A'C' = side B'D' = 8 * 8 = 64 cm
below is the image dilated by a factor of 8
Witch shows the expression ordered correctly from least value to greater value a b c or d
Please help thank you so much Bobby is creating a banner for the homecoming parade. The banner consists of an isosceles triangle, a rectangle, and a semicircle. He wants to add sparkling lights around the trim of the banner.
What is the total length of sparkling lights he can add to the banner?
Answer:
total length =5+5+10+10+π(10/2)=45.71ft.
Perimeter of semicircle
πr8/2π4π12.56ftNow
Total length
3+5+8+10+10+12.56-836+4.5640.56ftThere is a box of colored marbles on the counter top. There are 24 blue, 16 green, and 56 red.
Write the ratio of green marbles to red marbles. Don't forget to put your answer in simplest form.
Answer:
i think its 2:7
Step-by-step explanation:
heres why
16 and 56 both have a number that equals which it is 8
so u divide
16/8=2
56/8=7
16:56 in simplest form is 2:7
HELP I CANT DO THIS-
Which pair of terms can be used to represent any two consecutive odd numbers?
x and x + 1
x and x + 2
x and 2 x + 1
2 x and 2 x + 1
Answer:
x and 2x+1
Step-by-step explanation:
Help me pls I really need this answer
Answer:
B
Step-by-step explanation:
you need to find the absolute value
If a chicken farm has produced 2,386 eggs, select any expression that will estimate how many dozens can be packaged.
Answer:
198
Step-by-step explanation:
Divide 2386 by 12 and you will get 198.3
Answer:
2,386 divided by 10
Step-by-step explanation:
The chickens produced 2,386 eggs and a dozen = 10...
log a 5 s 0.699 and log 22 0.301. Use one or both of these values to evaluate log 125.
Answer:
log 5^3 = 3 log 5 = 3(0.69897) = 2.09691
Step-by-step explanation:
log 125 = log 5^3 = y; find y:
log 5^3 = 3 log 5 = 3(0.69897) = 2.09691
A fast food restaurant executive wishes to know how many fast food meals teenagers eat each week. They want to construct a 80% confidence interval with an error of no more than 0.07. A consultant has informed them that a previous study found the mean to be 5.8 fast food meals per week and found the standard deviation to be 1.3. What is the minimum sample size required to create the specified confidence interval
Answer:
The minimum sample size required to create the specified confidence interval is of 565.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.8}{2} = 0.1[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.1 = 0.9[/tex], so Z = 1.28.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Found the standard deviation to be 1.3.
This means that [tex]\sigma = 1.3[/tex]
Error of no more than 0.07. What is the minimum sample size required to create the specified confidence interval?
This is n for which M = 0.07. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.07 = 1.28\frac{1.3}{\sqrt{n}}[/tex]
[tex]0.07\sqrt{n} = 1.28*1.3[/tex]
[tex]\sqrt{n} = \frac{1.28*1.3}{0.07}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.28*1.3}{0.07})^2[/tex]
[tex]n = 565.1[/tex]
Rounding up:
The minimum sample size required to create the specified confidence interval is of 565.
The owner of an apple orchard would like to estimate the mean number of usable apples produced per tree in his
large orchard. He selects a random sample of 10 trees from his large orchard. This dotplot displays the number of
usable apples produced for each of these trees.
Are the conditions for constructing at confidence interval met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, the conditions for inference are met.
Step-by-step explanation:
know the normal large sample condition is not met and also there are outliers
Answer:
C
Step-by-step explanation:
No, the Normal/large sample condition is not met.
What’s is the median number of guest at these parties
Answer:
21
Step-by-step explanation:
21 and 27
You are only given an option of 21, so take it.
Answer:
its 21
Step-by-step explanation:
a cube has edge length 10 cm. starting at the vertices dots are placed along every edge at 1cm intervals. how many dots will there be in total once the pattern has been completed?
Answer:
120 dots
Step by step explanation:
In total there are 120 dots on the edges of a cube.
Given that, a cube has an edge length of 10 cm. Starting at the vertices dots are placed along every edge at 1 cm intervals.
We need to find how many dots will there be in total once the pattern has been completed.
How many edges are there in the cube?The number of edges in the cube is 12.
Now, the number of dots on an edge of 10 cm has 10 dots.
The total number of dots = Number of dots on an edge × Number of edges in a cube.
=10×12=120.
Therefore, in total there are 120 dots on the edges of a cube.
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Which graph represents a function
Consider the following hypothetical economy:
Y I G (X-IM)
2,500 360 200 -100
3,000 360 200 -100
3,500 360 200 -100
4,000 360 200 -100
4,500 360 200 -100
Taxes are 200 for all levels of GDP, and consumption function for this economy is given by: C= 400 +.8DI
a- Find the equilibrium level of GDP numerically and graphically. (Graph paper can be downloaded from “Course Materials” page of Bb.)
b- At equilibrium level of GDP how much is being saved?
c- If potential GDP for this economy is 4,000 what is the magnitude of inflationary (recessionary) gap?
d- If government increases G by 100, what will be the new equilibrium level of GDP?
e- If the government instead cuts the taxes by 100, what will be the new equilibrium level of GDP?
f- Show the impact of parts d and e in your graph.
Answer:
Step-by-step explanation:
Find the area of the figure. Use 3.14 for it.
16 m
16 m
The area of the figure is about|
m?
Answer:
32 m squared
Step-by-step explanation:
Add 2 sides then it'll be squared for the area
Answer:
[tex]16 \times 16 + \frac{\pi}{4} \times {16}^{2} \\ 256 + 64\pi[/tex]
Francis went to the sporting goods store and spent $75.15 on 6 items.
Five of those items were pairs of socks and each cost the same amount.
The 6th item was a soccer ball which cost $45. How much did each pair of
socks cost?
Answer:
$6.03
Step-by-step explanation:
The question is asking us how much each pair of socks cost. With the information we are given, we know that there are 5 pairs and that they all cost the same amount. If the total were just the 5 socks, we could easily divide the total by 5 to get the price of each pair but that's not the case. The soccer ball is included in the final cost. To overcome this, we just have to subtract the soccer ball's cost ($45) from the total.
So we subtract $45 from $75.15, giving us $30.15, the total amount of all the socks. However we need to find out how much each pair costs and there are 5 of them, so we divide 30.15 by 5. This gives us the answer, $6.03.
Each pair of socks cost $6.03.
Simpler Explanation:
$75.15 - $45 = $30.15$30.15 / 5 = $6.03The answer is $6.03
The product of 8 and the sum of a number and 12 is 240
Answer:
18
Step-by-step explanation:
Let the number be 'x'
Sum of 'x' and 12 = x +12
The product of 8 and the sum of a number and 12 = 8* (x +12)
= 8*x + 8*12
= 8x + 96
8x + 96 = 240
Subtract 96 from both sides
8x + 9 6 - 96 = 240 - 96
8x = 144
Divide both sides by 8
x = 144/8
x = 18
Questão 05 – Seu João deseja cercar um terreno quadrado de área igual a 36 m² no seu sítio, para fazer uma horta. Ele pretende cercar o terreno com 4 voltas de arame farpado e precisa saber quantos metros de arame vai usar na cerca. Sabendo que a medida de um lado do quadrado corresponde a raiz quadrada da área, determine a medida do lado do quadrado e quantos metros de arame seu João deve comprar?
Preciso DE RESPOSTA RAPIDO
Answer:
Step-by-step explanation:
Nate Dogg's 4/5 of a mile in 1/6 hour. which fraction represents Nate speed in miles per hour.
Answer:
24/5
Step-by-step explanation:
(6) 4/5 ------------ per 1/6h (6)
24/5----------- per 1h
Bad Investment After Mrs. Fisher lost 9% of her investment, she had $22,750. What was Mrs. Fisher's original investment?
Answer:
$2500
Step-by-step explanation:
Given that,
The lost percentage = 9%
Amount she had = $22,750
We need to find Mrs. Fisher's original investment.
As she had lost 9%, it means she will remain with 91% of her investment. Let the original investment is x.
So,
[tex]91\%\ of \ x=22,750\\\\\dfrac{91}{100}x=22,750\\\\x=\dfrac{22,750\times 100}{91}\\\\x=\$25000[/tex]
So, her original investment is equal to $25000.
which expression is equivalent to the expression -3(4x - 2) - 2x?
A- -8x
B- -16x
C- -14x -2
D- -14x + 6
Answer:
D is the answer
Step-by-step explanation:
You just distribute the negative three and combine like terms
please help me with this math assignment
Answer:
1)80%
2)210%
3)65%
4)105%
Answer:
80%
210%
65%
105%
Step-by-step explanation:
To solve for each of these equations, let's make them fractions first. The denominator will be 20 since that was the goal.
Elena did [tex]\frac{16}{20}[/tex] pushps.
Jada did [tex]\frac{42}{20\\}[/tex] pushups.
Lin did [tex]\frac{13}{20}[/tex] pushups.
Andre did [tex]\frac{21}{20}[/tex] pushups.
To convert this to percentages, let's multiply each by fraction by [tex]\frac{5}{5}[/tex]. This will give us a denominator of 100. The denominator will represent the percentage.
Elena did [tex]\frac{16}{20}[/tex] × [tex]\frac{5}{5}[/tex] = [tex]\frac{80}{100}[/tex] pushps. Elena did 80 percent of the pushups.
Jada did [tex]\frac{42}{20\\}[/tex] × [tex]\frac{5}{5}[/tex] = [tex]\frac{210}{100}[/tex] pushups. Jada did 210 percent of the pushups.
Lin did [tex]\frac{13}{20}[/tex] × [tex]\frac{5}{5}[/tex] = [tex]\frac{65}{100}[/tex] pushups. Lin did 65 percent of the pushups.
Andre did [tex]\frac{21}{20}[/tex] × [tex]\frac{5}{5}[/tex] = [tex]\frac{105}{100}[/tex] pushups. Andre did 105 percent of the pushups.
(-3, -4) and (-5, y); m = -9/2
Answer:
the answer would be y= -40
the product of 5 and 6 reduced by t
Answer:
5(6-t)
Step-by-step explanation:
in math, product means the "sum" of the equation or the final answer
and in your case, that means 5*6, but then we also have to remember that we're "reducing" or subtracting 't'-
5(6-t)
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
Help please?! This is graphing rational functions
Answer:
D: (-∞,2) (2,∞)
R:(-∞,0),(0,∞)
Step-by-step explanation:
From the graph we can see that the graph is approaching 0 horizontally and 2 vertically but not crossing so we can assumer these are the asymptotes. So the domain goes all the way from -∞ to 2 but does not cross 2 so we have to stop there and create another bracket for 2 to ∞. It is the same process for the range but in the y direction.
A variable is normally distributed with mean 18 and standard deviation 8. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed.
a) Find the area to the left of 18.
0
Incorrect
b) Find the area to the left of 14.
c) Find the area to the right of 17.
d) Find the area to the right of 19.
e) Find the area between 14 and 30.
Answer:
a) The area to the left of 18 is 0.5.
b) The area to the left of 14 is if 0.309.
c) The area to the right of 17 is of 0.55.
d) The area to the right of 19 is of 0.45.
e) The area between 14 and 30 is of 0.624.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is the area to the left of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X, which is the area to the right of X.
A variable is normally distributed with mean 18 and standard deviation 8
This means that [tex]\mu = 18, \sigma = 8[/tex]
a) Find the area to the left of 18.
This is the pvalue of Z when X = 18.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{18 - 18}{8}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5.
So the area to the left of 18 is 0.5.
b) Find the area to the left of 14.
This is the pvalue of Z when X = 14. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{14 - 18}{8}[/tex]
[tex]Z = -0.5[/tex]
[tex]Z = -0.5[/tex] has a pvalue of 0.309
The area to the left of 14 is if 0.309.
c) Find the area to the right of 17.
This is 1 subtracted by the pvaleu of Z when X = 17. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17 - 18}{8}[/tex]
[tex]Z = -0.125[/tex]
[tex]Z = -0.125[/tex] has a pvalue of 0.45
1 - 0.45 = 0.55
The area to the right of 17 is of 0.55.
d) Find the area to the right of 19.
This is 1 subtracted by the pvaleu of Z when X = 19. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{19 - 18}{8}[/tex]
[tex]Z = 0.125[/tex]
[tex]Z = 0.125[/tex] has a pvalue of 0.55
1 - 0.55 = 0.45
The area to the right of 19 is of 0.45.
e) Find the area between 14 and 30.
This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 14.
X = 30
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30 - 18}{8}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a pvalue of 0.933
From b), when X = 14, Z has a pvalue of 0.309.
0.933 - 0.309 = 0.624
The area between 14 and 30 is of 0.624.
The area to the left of 18 is 0.5, the area to the left of 14 is 0.309, the area to the right of 17 is 0.55, the area to the right of 19 is 0.45, and the area between 14 and 30 is 0.624.
Given :
A variable is normally distributed with a mean of 18 and a standard deviation of 8.
a) Use the z score formula in order to determine the area to the left of 18.
[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]
[tex]\rm Z = \dfrac{18-18}{8}=0[/tex]
For the z = 0 the p-value is 0.5.
Therefore, 0.5 is the area to the left of 18.
b) Use the z score formula in order to determine the area to the left of 14.
[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]
[tex]\rm Z = \dfrac{14-18}{8}=-0.5[/tex]
For the z = -0.5 the p-value is 0.309.
Therefore, 0.309 is the area to the left of 14.
c) Use the z score formula in order to determine the area to the right of 17.
[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]
[tex]\rm Z = \dfrac{17-18}{8}=-0.125[/tex]
For the z = -0.125 the p-value is 0.45.
Therefore, the area to the left of 17 is given by:
= 1 - 0.45 = 0.55
d) Use the z score formula in order to determine the area to the right of 19.
[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]
[tex]\rm Z = \dfrac{19-18}{8}=0.125[/tex]
For the z = 0.125 the p-value is 0.55.
Therefore, the area to the left of 19 is given by:
= 1 - 0.55 = 0.45
e) Use the z score formula in order to determine the area between 14 and 30.
At X = 30 the z score becomes:
[tex]\rm Z = \dfrac{X-\mu}{\sigma}[/tex]
[tex]\rm Z = \dfrac{30-18}{8}=1.5[/tex]
For the z = 1.5 the p-value is 0.933.
For the z = -0.5 the p-value is 0.309.
Therefore, the area to the left of 14 is given by:
= 0.933 - 0.309
= 0.624
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How many degrees are in one external angle of a regular 12-gon?
What happens to the volume of a sphere if its radius is multiplied by 6?
Answer:
216 times the original
Step-by-step explanation:
Volume 1 = 4/3 πr³
volume 2 = 4/3 π(6r)³
v 2 / v 1 = 6³ = 216
When the radius of a sphere is multiplied by 6, the volume is multiplied by 216
How to determine the volume?Let the radius of the sphere be r
The volume of a sphere of radius, r is calculated as:
v = 4/3 πr³
When multiplied by 6, the radius becomes:
R = 6r
The new volume is then calculated as:
V = 4/3 π(6r)³
Divide both volumes
V/v = 4/3 π(6r)³ / 4/3 πr³
Evaluate the quotient
V/v = 6³
V/v = 216
Hence, when the radius of a sphere is multiplied by 6, the volume is multiplied by 216
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