Answer:
Step-by-step explanation:
16
Solve the following (^ this sign symbolizes the power) 7). 4^2 8). 7^2 9). 6^4 10). 1^2 11) 5^3 12) 1^3
Answer:
7. 4^2 = 6
8. 7^2 = 49
9. 6^4 =1296
10. 1^2 = 1
11. 5^3 =125
12. 1^3 =1
Step-by-step explanation:
2. A map of a park has a scale of 1 inch to 1,000 feet. Another map of the same park has
a scale of 1 inch to 500 feet. Which map is larger? Explain or show your reasoning.
1
rade 7 Unit 1
esson 10
CC BY Open Up Resources. Adaptations CC BY IM.
Answer:
The map that has a scale of 1 inch to 500 feet must be larger in size
Step-by-step explanation:
Since both maps represent the ame park area, the map that show more detail using 1 inch for every 500 feet, must be larger in size. notice that in order to represent 1000 feet this map needs to use 2 inches, while the other one uses only 1 inch of paper.
You are considering a certain telephone company. They charge S0.18 per minute of talking, plus a fixed base monthly fee of S70.If M represents the number of minutes you talk in a month, and C is the total monthly charge, which of these is the correct relationship between M and C? Select the correct answer below
a) C = 0.18M + 70
b) M = 0.70C + 18
c) C = 0.70M + 18
d) M = 0.18C + 70
Answer:
a) C = 0.18M + 70
Step-by-step explanation:
Charges:
1. Monthly fee = S702. Charge for talking = S0.18 per minuteTotals, considering number of minutes:
S70 + S0.18*MSo the equation would be:
C = 0.18M + 70This is the option a)
If a=mg-kv2/m,find,correct to the nearest whole number the value of v when a=2.8,m=12,g=9.8 and k=8/3
Answer:
v = 23
Step-by-step explanation:
Formatting the question gives;
a = mg - kv² / m
Make v subject of the formula as follows;
(i) Multiply both sides by m
ma = m²g - kv²
(ii) Collect like terms
kv² = m²g - ma
(iii) Divide through by k
v² = (m²g - ma) / k
(iv) Take the square root of both sides
v = √ [(m²g - ma) / k] --------------(ii)
From the question:
a = 2.8
m = 12
g = 9.8
k = 8/3
Substitute these values into equation (i) as follows;
v = √ [(12²(9.8) - 12(2.8)) / (8/3)]
v = √ [(1411.2 - 33.6) / (8/3)]
v = √ [1377.6 / (8/3)]
v = √ [1377.6 x (3/8)]
v = √ [1377.6 x 3 / 8)]
v = √ [516.6]
v = 22.73
v = 23 [to the nearest whole number]
Therefore v = 23 to the nearest whole number
write the remainder when [x ^2 -1] is divided by (x-1)
hat are the two decisions that you can make from performing a hypothesis test? What are the two decisions that you can make from performing a hypothesis test? Select all that apply. A. make a type II error B. make a type I error C. reject the alternative hypothesis D. fail to reject the alternative hypothesis E. reject the null hypothesis F. accept the null hypothesis G. accept the alternative hypothesis H. fail to reject the null hypothesis
Answer:
One is :
C. reject the alternative hypothesis
F. accept the null hypothesis
The other is :
E. reject the null hypothesis
G. accept the alternative hypothesis
Another type of decision is when we
D. fail to reject the alternative hypothesis
E. reject the null hypothesis
and
H. fail to reject the null hypothesis
C. reject the alternative hypothesis
Step-by-step explanation:
There are two types of decisions that we can make .
One is :
C. reject the alternative hypothesis
F. accept the null hypothesis
The other is :
E. reject the null hypothesis
G. accept the alternative hypothesis
Another type of decision is when we
D. fail to reject the alternative hypothesis
E. reject the null hypothesis
and
H. fail to reject the null hypothesis
C. reject the alternative hypothesis
It is clear from the above that when we reject one hypothesis we accept the other hypothesis.
or
When we fail to reject one hypothesis we reject the other hypothesis.
Solve for m.
0 = -12 + m
Answer:
[tex]\huge \boxed{m=12}[/tex]
Step-by-step explanation:
[tex]m+-12=0[/tex]
[tex]\sf Add \ 12 \ to \ both \ sides.[/tex]
[tex]m+-12+12=0+12[/tex]
[tex]m=12[/tex]
Enter the number that belongs in the green box
Answer:
1
Step-by-step explanation:
Hi!
First we need to translate 2 units down. That means we need to subtract 2 from the y value. So now we have (-1,1).
For a 270 degree counterclockwise rotation the rule is to go from (x,y) to (y,-x)
So now we have (1,1). Since they're only asking for the x value, the answer is 1.
Answer:
[1, 1]
Step-by-step explanation:
Translation → [-1, 3] moves down to [-1, 1]
Now, a 90°-clockwise rotation is the exact same as a 270°-counterclockwise rotation, and according to the 270°-counterclockwise rotation [90°-clockwise rotation] rule, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:
Extended Rotation Rules
270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)
270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)
180°-rotation >> (x, y) → (-x, -y)
Then, you perform your rotation:
270°-counterclockwise rotation [90°-clockwise rotation] → [-1, 1] moves to [1, 1]
( not my answer cr BasketballEinstein on brainly, i just saw that the same question like this one was already answered FULLY somewhere else )
if x=10^a , y=10^b and x^b.y^a=100.prove that xy=1
Answer:
ab=1
Step-by-step explanation:
Assuming that you meant ab=1
[tex]x=10^{a}\\\\y=10^b\\\\x^b*y^a=100\\\\(10^a)^b*(10^b)^a=100\\\\10^{ab}*10^{ba}=100\\\\10^{ab+ba}=100\\\\10^{2ab}=100\\\\(10^2)^{ab}=100\\\\100^{ab}=100\\\\ab=1[/tex]this is because the exponents have to be equal
There are two routes Lucas can take to walk to school. Route A is 2 and StartFraction 1 over 8 EndFraction miles and is StartFraction 3 over 8 EndFraction mile longer than route B. The equation b + StartFraction 3 over 8 EndFraction = 2 and StartFraction 1 over 8 EndFraction can be used to represent this situation, where b is the length of route B. How many miles will Lucas walk if he takes route B?
Answer:
1 3/4
Step-by-step explanation:
i took this quiz its the correct answer...
Answer:
B. ! 3/4 miles
Step-by-step explanation:
I got it right on edge.
Part 2: Use congruency theorems to prove congruency
Answer: see proof below
Step-by-step explanation:
Statement Reason
1. YO = NZ 1. Given
2. OZ = OZ 2. Reflexive Property
3. YO + OZ = YZ 3. Segment Addition Property
NZ + OZ = NO
4. YO + OZ = NZ + OZ 4. Addition Property
5. YZ = NO 5. Substitution
6. ∠M ≅ ∠X 6. Given
7. ∠N ≅ ∠Y 7. Given
8. ΔMNO ≅ ΔXYZ 8. AAS Congruency Theorem
Step-by-step explanation:
Hope it helps u please mark it as brainlist
Hello! Stay safe and Please answer In a hurry Thanks!
Answer:
4
Step-by-step explanation:
An equilateral triangle has 3 equal sides.
So
4(x-1) = x +8
4x-4=x+8
3x=12
x=4
Same result obtained when comparing the other pairs of equations.
The sum of the present ages of lily and Chris is 36. In 4 years time, the sum of their ages will equal twice Lily’s present age? How old are they now?
Answer:
If the present age is x, then age n years later/hence = x + n. If the present age is x, then age n years ago = x – n. The ages in a ratio a: b will be ax and bx. If the current age is y, then 1/n of the age is y/n.
Roger pays $1187.20 for a computer. The price includes 6% sales tax. What is the price of the computer
itself?
the length of a rectangle is 4 cm less than 5 times its width its perimeter is 160 cm find its length and width
how many minutes are in 17 years
Answer:
Step-by-step explanation:
8.935e+6
Answer:
8.935e+6 minutes
Step-by-step explanation:
[tex]1 calendar year = 525600\\17 years\:\:\:\:\:\:\: = x\\\\x = 525600\times 17\\\\=8935200[/tex]
Subtract (x^2+3x-4) -(4x-2x^2-3)
Answer:
3 x^2 - x + -1
Step-by-step explanation:
Simplify the following:
-(4 x - 2 x^2 - 3) + x^2 + 3 x - 4
Factor -1 out of -2 x^2 + 4 x - 3:
--(2 x^2 - 4 x + 3) + x^2 + 3 x - 4
(-1)^2 = 1:
2 x^2 - 4 x + 3 + x^2 + 3 x - 4
Grouping like terms, 2 x^2 + x^2 + 3 x - 4 x - 4 + 3 = (x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3):
(x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3)
x^2 + 2 x^2 = 3 x^2:
3 x^2 + (3 x - 4 x) + (-4 + 3)
3 x - 4 x = -x:
3 x^2 + -x + (-4 + 3)
3 - 4 = -1:
Answer: 3 x^2 - x + -1
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth)
Answer:
unit rate = cost/weight
Step-by-step explanation:
To find the unit rate, divide the cost by the weight of each brand.
The lower unit rate represents a lower price, so that is the one you choose.
Answer:
Brand B.
Step-by-step explanation: Jacob should pick Brand B because he will save money. This is because if he buys 8 ounces 6 times, he will have to pay about $17.94, but if he buys 16 ounces 3 times, he will only spend $14.97.
Hope this helps! :)
33 + 2(5+8) - (6-2)2 =
Answer:
51
Step-by-step explanation:
33+2(5+8)-(6-2)2
open the brackets FIRST
2(5+8) = 26
33+26-(6-2)2
33+18
= 51
Rearrange the equation so w is the independent variable.
u-5= -4(w - 1)
Answer:
w = ((u-5)/-4) + 1
Step-by-step explanation:
To make w an independent variable, it must be by itself, so we have
u - 5 = -4(w-1)
We divide both sides by -4
(u-5)/-4 = -4(w-1)/-4
(u-5)/-4 = w-1
Now we add 1 to both sides,
(u-5)/-4+1 = w-1+1
((u-5)/-4) + 1 = w
w = ((u-5)/-4) + 1
Answer:
u = -4w + 9.
Step-by-step explanation:
If w is the independent variable, it will be the variable you are changing.
u - 5 = -4(w - 1)
u - 5 = -4w + 4
u = -4w + 9.
Hope this helps!
Let f(x) = x2 - 4x and g(x) = 2x – 3. Find f(g(4))
Answer:
[tex]f(g(4)) = 5[/tex]Step-by-step explanation:
f(x) = x² - 4x
g(x) = 2x – 3
To find f(g(4)) we must first find f(g(x))
To find f(g(x)) substitute g(x) into f(x) that's for every x in f(x) replace it with g (x)
That's
[tex]f(g(x)) = ({2x - 3})^{2} - 4(2x - 3) \\ = 4x^{2} - 12x + 9 - 8x + 12 \\ = 4 {x}^{2} - 12x - 8x + 9 + 12[/tex]We have
[tex]f(g(x)) = {4x}^{2} - 20x + 21[/tex]Now to find f(g(4)) substitute the value of x that's 4 into f(g(x)) that's replace every x in f(g(x)) by 4
We have
[tex]f(g(4)) = 4( {4})^{2} - 20(4) + 21 \\ = 4(16) - 80 + 21 \\ = 64 - 80 + 21 \\ = 85 - 80[/tex]We have the final answer as
[tex]f(g(4)) = 5[/tex]Hope this helps you
Answer:
Answer:
f(g(4)) = 5f(g(4))=5
Step-by-step explanation:
f(x) = x² - 4x
g(x) = 2x – 3
To find f(g(4)) we must first find f(g(x))
To find f(g(x)) substitute g(x) into f(x) that's for every x in f(x) replace it with g (x)
That's
\begin{lgathered}f(g(x)) = ({2x - 3})^{2} - 4(2x - 3) \\ = 4x^{2} - 12x + 9 - 8x + 12 \\ = 4 {x}^{2} - 12x - 8x + 9 + 12\end{lgathered}
f(g(x))=(2x−3)
2
−4(2x−3)
=4x
2
−12x+9−8x+12
=4x
2
−12x−8x+9+12
We have
f(g(x)) = {4x}^{2} - 20x + 21f(g(x))=4x
2
−20x+21
Now to find f(g(4)) substitute the value of x that's 4 into f(g(x)) that's replace every x in f(g(x)) by 4
We have
\begin{lgathered}f(g(4)) = 4( {4})^{2} - 20(4) + 21 \\ = 4(16) - 80 + 21 \\ = 64 - 80 + 21 \\ = 85 - 80\end{lgathered}
f(g(4))=4(4)
2
−20(4)+21
=4(16)−80+21
=64−80+21
=85−80
We have the final answer as
f(g(4)) = 5f(g(4))=5
Hope this helps you
Trigonometry-Logarithm Question..Please help..
Answer:
[tex]$x=\frac{25\pi }{12} \text{ and }x=\frac{29\pi }{12}[/tex]
Step-by-step explanation:
Solve
[tex]\log_2(2 \sin x) + \log_2(\cos x) =1[/tex]
in interval [tex]$\left(2\pi, \frac{5\pi}{2} \right)$[/tex]
Remember that logarithms follow:
[tex]f(x\cdot y)=f(x)+ f(y)[/tex]
Therefore
[tex]\log_2(2 \sin x) + \log_2(\cos x) =-1 \implies \log_2(2 \sin x \cdot \cos x) =-1[/tex]
We got a double angle of sine:
[tex]\sin(2x)= 2 \sin x \cos x[/tex]
[tex]\log_2( \sin 2x ) =-1[/tex]
[tex]2^{-1}=\sin 2x[/tex]
[tex]$\frac{1}{2} =\sin 2x$[/tex]
The solutions for it are:
[tex]$2x=\frac{\pi }{6}+2\pi n \text{ and }2x=\frac{5\pi }{6}+2\pi n, \text{ as } n\in \mathbb{Z}$[/tex]
As
[tex]$x=\frac{\pi }{12}+\pi n \text{ and }x=\frac{5\pi }{12}+\pi n, \text{ as } n\in \mathbb{Z}$[/tex]
But we have the interval
[tex]$\left(2\pi, \frac{5\pi}{2} \right)$[/tex]
Therefore, the answer is
[tex]$x=\frac{25\pi }{12} \text{ and }x=\frac{29\pi }{12}[/tex]
Need to find the volume of these composite figures. Thank You!
Answer:
3. V = 1,498.24. V = 2,813.445. V = 96.293Step-by-step explanation:
3. Formula of a Cylinder + Formula of a Cone = Total
V=πr^2h + V=πr^2h
/3 = total
V = 3.14 * 36 * 10 + V = 3.14 * 36 * 10/3
V = 1,130.4 + V = 376.8 = Total
V = 1,498.24. Formula of Cone + Formula of Cone = Total
V=πr^2h
/3 + V=πr^2h
/3 = Total
V = 3.14 * 36 * 8/3 + V = 3.14 * 100 * 8 = Total
V = 301.44 + 2,512 = Total
V = 2,813.445. Formula of a cylinder + formula of a sphere = Total
V=πr^2h + V=4
/3πr^3 = Total
V = 3.14 * 4 * 5 + V = 4/3 * 3.14 * 8
V = 62.8 + V = 33.493 = Total
V = 96.293DEFINITELY hope this helped,
Kavitha
Suppose a team of doctors wanted to study the effect of different types of exercise on reducing body fat percentage in adult men. The 57 participants in the study consist of men between the ages of 40 and 49 with body fat percentages ranging from 32%â34%. The participants were each randomly assigned to one of four exercise regimens.Ten were instructed to complete 45 min of aerobic exercise four times a week.Eleven were instructed to complete 45 min of anaerobic exercise four times a week.Nine were instructed to complete 45 min of aerobic exercise twice a week and 45 minutes of anaerobic exercise twice a week.Nine were instructed not to exercise at all.All participants were asked to adhere to their assigned exercise regimens for eight weeks. Additionally, to control for the effect of diet on weight loss, the doctors provided the participants with all meals for the duration of the study. After eight weeks, the doctors recorded the change in body fat percentage for each of the participants.The doctors plan to use the change in body fat percentage data in a one-way ANOVA F?test. They calculate the mean square between as MSbetween=11.632991 and the mean square within as MSwithin=1.261143. Assume that the requirements for a one-way ANOVA F?test have been met for this study.Choose all of the correct facts about the F statistic for the doctors' ANOVA test.A. The F statistic increases as the differences among the sample means for the exercise groups increase.B. The F statistic is 0.1084.C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.D. The F statistic indicates which exercise treatment groups, if any, are significantly different from each other.E. The F statistic has 4 degrees of freedom in the numerator and 38 degrees of freedom in the denominator.F. The F statistic is 9.2242.
Answer:
A. The F statistic increases as the differences among the sample means for the exercise groups increase.
C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.
F. The F statistic is 9.2242.
Step-by-step explanation:
Given that
Observations Samples Total
40-49 10 11 9 9 39
The degrees of freedom is given by
For numerator= k-1 = 4-1=3
For denominator= n-k= 39-4= 35
F statistic is given by
F= MS between/ MS within
=11.632991 / 1.261143 = 9.2242
Where
Mean Square Between = MS between = 11.632991
Mean Square Within = MS within = 1.261143
Hence the correct choices are A, C and F
A. The F statistic increases as the differences among the sample means for the exercise groups increase.
C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.
F. The F statistic is 9.2242.
Suppose we have
Mean Square Between = MS between = 18.632991
Mean Square Within = MS within = 1.261143
Then F statistic would be = 14.77468 > 9.2242
which tells that The F statistic increases as the differences among the sample means for the exercise groups increase.
I’m not sure what it’s asking
Answer:
A, D, E, F and G
Step-by-step explanation:
It is asking for the elements of the set A which are integers
a pharmaceutical salesperson receives a monthly salary of $5000 plus a commission of 7% of sales. write a linear equation for the salesperson’s monthly wage W in terms of monthly sales S. NEED TO TURN IT IN TODAY
Equation for the monthly wage will be → W = 0.07S + 5000
Given in the question,
Monthly salary of the sales-person = $5000Commission = 7% of total salesLet the total sales of a month = $S
Therefore, commission on this sale = 7% of $S
= $0.07S
Salary of the month = $5000
Total earnings (W) of the sales person = $(0.07S + 5000)
Therefore, equation for the monthly wage will be,
W = 0.07S + 5000
Learn more,
https://brainly.com/question/25362379
1/5 divided by 3 is what
Answer:
the answer would be 1/15, or approximately 0.067.
Step-by-step explanation:
about 60000 acres of wetlands are lost each year in the United States. what integer represents the change in wetlands after 4 years?
Answer:
240 000
Step-by-step explanation:
Change in wetlands each year: 60 000 acres
Change in wetlands after 4 years:
60 000 x 4 = 240 000 (acres)
15x 18 + 12+ 3+ 9
Pemdas
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{294}}}}}[/tex]
Step-by-step explanation:
PEMDAS is a acronym which helps you to remember the order of operations.
PEMDAS stands for :
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Let's solve
[tex] \sf{15 \times 18 + 12 + 3 + 9}[/tex]
Multiply the numbers : 15 × 18 = 270
⇒[tex] \sf{270 + 12 + 3 + 9}[/tex]
Add the numbers : 270 + 12 + 3 + 9
⇒[tex] \sf{294}[/tex]
Hope I helped!
Best regards!!
Answer:
This would equal 294
Step-by-step explanation:
i added them up
Complete the square: x2+7x+?=(x+?)2
Answer:
[tex] {x}^{2} + 7x + \frac{49}{4} = {(x + \frac{7}{2}) }^{2} [/tex]
Explanation:
[tex] {x}^{2} + 7x + a = {(x + b)}^{2} [/tex]
[tex] {x}^{2} + 7x + a = {x}^{2} + 2bx + {b}^{2} [/tex]
compare the x co-efficient
[tex] 7 = 2b[/tex]
[tex] b = \frac{7}{2} [/tex]
compare the constants
[tex]a = {b}^{2} [/tex]
[tex]a = {( \frac{7}{2}) }^{2} [/tex]
[tex]a = \frac{49}{4} [/tex]