Step-by-step explanation: To simplify, we will apply the Quotient Rule.
The 5's in this problem are bases so as you apply the quotient rule,
subtract the exponents but leave the base alone to get 5⁴.
We can also write 5⁴ as 5 · 5 · 5 · 5.
Answer:
A) 5*5*5*5
Step-by-step explanation:
How to simplify this problem: (4c^4)^3
Answer:
64c^12
Step-by-step explanation:
(4c^4)^3 distribute exponents
{(4)^3 (C^12)} simplify
64c^12
The angle of elevation of a ladder leaning against a wall is 60 degrees and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is ___ m.
Answer:
8
Step-by-step explanation:
Which phrase best describes f(x), graphed on the coordinate plane below?
answer.next time out the graph
Step-by-step explanation:
Answer:
It's A, an odd function
What is the length of an arc given that the measure of the central angle is 30 degree and the radius is 7 cm?
La longitud del arco (s) en una circunferencia, conociendo el radio (r) y el ángulo (θ) que forman los dos radios, es:
s = r∙θ
Con el ángulo en radianes
F V7 w7 :
4a-2b+40 when a=2 and b=7
Answer:
34
Step-by-step explanation:
4(2)-2(7)+40
8-14+40
-6+40=34
4a-2b+40
4x2-2x7+40
8-14+40
-6+40
34 is the answer.
For which values of the parameter B the following system admits a unique solution [ 1 b 1-b 2 2 0 2–2B 4 0] [x y z] = [1 2 0]
Answer: β ≠ ±1
Step-by-step explanation: For a system of equations to have an unique solution, its determinant must be different from 0: det |A| ≠ 0. So,
det [tex]\left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right][/tex] ≠ 0
Determinant of a 3x3 matrix is calculated by:
det [tex]\left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]\left[\begin{array}{ccc}1&\beta\\2&2\\2-2\beta&4\end{array}\right][/tex]
[tex]8(1-\beta)-[2(2-2\beta)(1-\beta)][/tex]
[tex]8-8\beta-4+8\beta-4\beta^{2}[/tex]
[tex]-4\beta^{2}+4\neq 0[/tex]
[tex]\beta^{2}\neq 1[/tex]
[tex]\beta \neq \sqrt{1}[/tex]
β ≠ ±1
For the system to have only one solution, β ≠ 1 or β ≠ -1.
Find the lengths of the sides of the triangle PQR. P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) a. |PQ| = b. |QR| = c. |RP| =
Given :
Three points , P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) .
To Find :
The length of sides .
Given :
We know , length of two points P(x,y ,z) and Q(a,b,c) is given by :
[tex]L=\sqrt{(x-a)^2+(y-b)^2+(z-c)^2}[/tex]
Length of PQ :
[tex]PQ=\sqrt{(4-2)^2+(3-1)^2+(4-3)^2}\\\\PQ=\sqrt{4+4+1}=\sqrt{9}\\\\PQ=3[/tex]
Length of QR :
[tex]QR=\sqrt{(2-2)^2+(1-7)^2+(3-0)^2}\\\\QR=\sqrt{0+6^2+3^2}\\\\QR=\sqrt{36+9}\\\\QR=\sqrt{45}\\\\QR=3\sqrt{5}[/tex] :
Length of RP :
[tex]RP=\sqrt{(2-4)^2+(7-3)^2+(0-4)^2}\\\\RP=\sqrt{2^2+4^2+4^2}\\\\RP=\sqrt{4+16+16}\\\\RP=\sqrt{36}\\\\RP=6[/tex]
Hence , this is the required solution .
Which fraction has a repeating decimal as its decimal expantion
Kyle wants to buy a new laptop that has an original price of $540. The store is having a sale, so the laptop is 10 percent off, which amounts to a discount of $54. If sales tax is 8 percent on the final price of the laptop, how much tax will he need to pay?
Answer:
A. 38.88
Step-by-step explanation:
$540-54 is 486
486(0.08) or 486(8%) is 38.88
Answer:
$38.88
I took the test, trust me
Jerome is an accounts payable clerk that when printing check used 1/4 of a box of check stock. How many checks did Jerome use for if 1000 checks are able to printed out of each box?
Solve |f−6| = |f+8| Can someone please help me with this question? I'm stuck.
Answer:
no solution
Step-by-step explanation:
|f-6| = |f+8|
solve absolute values
f-6 = f+8
add 6 to 8
f = f+14
subtract f from f
0=14
not true; no solution
Find the least common multiple of 15, 2, and 10.
LCM = 30
Step-by-step explanation:15 = 3×5
2 = 2¹
10 = 2×5
LCM = 2×3×5 = 30
3u+5u=64
What is the simplify of this
What does u
Answer:
u = 8
Step-by-step explanation:
3u + 5u = 64
8u = 64
8u/8 = 64/8
u = 8
evaluate h^2-3h+2 for h= -3
Answer:
2
Step-by-step explanation:
1. Start by substituting 3 for every h, so it looks like 3^2-3(3)+2
2. Do the exponent first 9-3(3)+2
3. Multiply 3(3) to get 9-9+2
4. Subtract 9-9, 0+2
5. Add 0 and 2 to get 2
Solve the formula h=54t+12at2 h = 54 t + 1 2 a t 2 for a.
Sanna has 38 homework problems to finish she finishes the 14 problems in 25 minutes. How long will it take her to finish the rest of the assignment, if she continues at the same pace?
Answer:
45
Step-by-step explanation:
Help me with this please i don't understand
Answer:
84 cm²
Step-by-step explanation:
Surface are of the net = sum of the area of each section
Area of the 2 right triangles:
base (b) = 4cm, height (h) = 3 cm
Area = 2(½*b*h) = 2(½*4*3) = 4*3 = 12 cm²
Area of rectangle with the following dimensions:
length (L) = 6 cm, width (W) = 4 cm
Area = L*W = 6*4 = 24 cm²
Area of rectangle with the following dimensions:
length (L) = 6 cm, width (W) = 5 cm
Area = L*W = 6*5 = 30 cm²
Area of rectangle with the following dimensions:
length (L) = 6 cm, width (W) = 3 cm
Area = L*W = 6*3 = 18 cm²
Surface area of the net = 12 + 24 + 30 + 18 = 84 cm²
ABSOLUTE VALUE! What is the absolute value of -7?
Answer:
7
Step-by-step explanation:
For any real number x, if x > 0 then |x| = x and if x < 0 then |x| = -x. In this case, x < 0 so |-7| = -(-7) = 7.
Answer:
answer is 7
Step-by-step explanation:
if its a negative, its always the positive of that number....if that makes sense
What is the solution to the equation 1/4x+2= -5/8x-5?
Answer:
x=( -8)
Step-by-step explanation:
hope it helps.^-^
Find the derivative F(x)=(5x+3)(2x^2+1)
Answer:
10x^3 + 6x^2 + 5x + 3
Step-by-step explanation:
F(x)=(5x+3)(2x^2+1)
= 5x*2x^2 + 5x*1 + 3*2x^2 + 3*1
= 10x^3 + 5x + 6x^2 + 3
= 10x^3 + 6x^2 + 5x + 3
10 The table below shows the results of a swimming race.
Time (sec)
Name
Paula
47.983
Marci
50
Kelli
47.972
Susan
47.21
Carla
46
10
Brenda
46.97
Which of the following gives the first four finishers in order from 1st to 4th place
F Brenda, Carla, Marci, Paula
G Carla, Brenda, Marci, Susan
H Carla, Marci, Brenda, Susan
J Susan Marci Brenda. Carla
Answer:
G. Carla, Brenda, Marci, Susan
Step-by-step explanation:
The time given for all participants are in decimals except for that of Marci and Carla which are given in the form of mixed fractions.
Convert the mixed fractions into decimals, then compare the figures together to do the ranking.
Marci = [tex] 46\frac{49}{50} = \frac{2,349}{50} = 46.98 [/tex]
Carla = [tex] 46\frac{9}{10} = \frac{469}{10} = 46.9 [/tex]
The first four finishers from the 1st to the 4th are:
1. Carla - 46.9
2. Brenda - 46.97
3. Marci - 46.98
4. Susan - 47.21
a local hamburger shop soda combined order of 497 hamburgers and cheeseburgers on Friday there was 53 fewer cheeseburgers sold than hamburgers how many hamburgers were sold on Friday
Answer:
you need a answer I can see 425
PLEASE HELP meeeeeeee
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{4 \sqrt{15k} + 3 \sqrt{5k} }}}}}[/tex]
Option B is the correct option.
Step-by-step explanation:
[tex] \sf{ \sqrt{15k} (4 + \sqrt{3} )}[/tex]
Distribute √ 15 k through the parentheses
[tex] \dashrightarrow{ \sf{4 \sqrt{15k} + \sqrt{15k \times 3}}} [/tex]
[tex] \dashrightarrow{ \sf{4 \sqrt{15k} + \sqrt{45k} }}[/tex]
[tex] \dashrightarrow{ \sf{4 \sqrt{15k} + 3 \sqrt{5k} }}[/tex]
Hope I helped!
Best regards! :D
1. Solve the shape equation puzzle?
Answer:
circle = 5, triangle = 2, square = 6
Step-by-step explanation:
If we look at the first and second equations, we see that circle + triangle + square = 13. Because triangle + square = 8, we can substitute this into the first equation, therefore, circle + 8 = 13 and circle = 5. Next, looking at the third equation, we see that circle + triangle = 7 and since circle = 5 we know that 5 + triangle = 7, therefore, triangle = 2. Finally, we can substitute triangle = 2 into the second equation which gives us 2 + square = 8, therefore, square = 6.
F(x) = 3x - 7 and g(x) = -2x - 6. Find (f o g)(4)
Answer:
(f o g)(4) = - 49Step-by-step explanation:
F(x) = 3x - 7
g(x) = -2x - 6
To find (f o g)(4) we must first find (f o g)(x)
To find (f o g)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with
g (x).
We have
(f o g)(x) = 3( - 2x - 6) - 7
= - 6x - 18 - 7
We have
(f o g)(x) = - 6x - 25
To find (f o g)(4), substitute the value of x that's 4 into (f o g)(x)
We have
(f o g)(4) = - 6(4) - 25
= - 24 - 25
We have the final answer as
(f o g)(4) = - 49Hope this helps you
Chang Industries has bonds outstanding with a par value of $210,400 and a carrying value of $218,600. If the company calls these bonds at a price of $214,000, the gain or loss on retirement is:
Answer:
The loss is $4600.
Step-by-step explanation:
The par value of the bonds = $210400
The carrying value of the bonds or the actual value of bonds = $218600
The company calls the bonds at the price = $214000
Now have to find the gain or loss from the given information. Thus, below is the calculation to find the gain or loss.
Loss or gain on retirement = $214,000 - $218,600 = -$4,600
Thus the loss on retirement is $4600.
4(3x - 2) - x = 3x - 4x
Answer:
2/3
Step-by-step explanation:
Step 1:
4 ( 3x - 2 ) - x = 3x - 4x
Step 2:
12x - 8 - x = - x
Step 3:
11x - 8 = - x
Step 4:
11x = - x + 8
Step 5:
12x = 8
Answer:
x = 2/3
Hope This Helps :)
Answer:
[tex]\displaystyle{x=\frac{2}{3}}[/tex]
Step-by-step explanation:
[tex]4(3x-2)-x=3x-4x\\(12x-8)-x=3x-4x\\12x-x-8=3x-4x\\11x-8=3x-4x\\11x-8=-x\\11x=-x+8\\12x=8[/tex]
[tex]\displaystyle{x=\frac{8}{12}}[/tex]
[tex]\displaystyle{x=\frac{2}{3}}[/tex]
Katie has a collection of nickels dimes and quarters with a total value of $4.60. there are 6 more dimes than nickels and 8 more quarters than nickels. How many of each coins does she have?
Answer:
920
Step-by-step explanation:
$4.60×6-8
$4.60×2dimes
=920
Find the absolute value and solve the problem
|-23| + |-15|
Answer:
38
Step-by-step explanation:
|-23| + |-15|
First find the absolute values, which are the non negative values
23 +15
Then add
38
The data below is your data set for your mini lab. For this assignment, you are the researcher. You gave the facial recognition lab to 40 students, 20 males and 20 females. The data set below contains the number of correct hits for each subject. Complete the calculations below based on the data provided.Males 5 5 8 5 6 7 4 5 3 4 8 5 10 6 5 5 8 7 5 6Females 9 8 7 7 9 8 8 8 9 10 7 9 8 9 7 9 8 7 9 7 .Calculate the mean number of correct responses (hits) for male subjects. Round to the nearest hundreths place2. Calculate the Standard Deviation (SD) of the correct reponses for male subjects. Round to the nearest hundreths place3. Calculate the Standard Error of Mean (SEM) of correct responses for male subjects. Round to the nearest hundreths place.4. Calculate the mean number of correct responses (hits) for female subjects. Round to the nearest hundreths place5. Calculate the Standard Deviation (SD) of the correct reponses for female subjects. Round to the nearest hundreths place6. Calculate the Standard Error of Mean (SEM) of correct responses for female subjects. Round to the nearest hundreths place.7. Use a statistical software program or your favorite stats website and find the t value for an unpaired 2 sample t test using the data from the 2 groups, the males and females.8. What is the degree of freedom associated with this t test.9. The p value associated with the t value isa. less than .05b. greater than .05c. I have no idea10. Based on your calculations, would you reject the null hypothes that there is no difference between males and females on this recognition task?a. Yes, I would reject the null hypothesis.b. No, I would not reject the null hypothesis.c. I have no idea.
Answer:
Reject the null hypothesis that there is no difference between males and females on the recognition task.
Step-by-step explanation:
Use MS-Excel to compute the required values.
Consider the data for male subjects first:
Mean = [tex]\frac{1}{20}\sum X_{m}}=5.85[/tex] SD = [tex]\sqrt{\frac{1}{20-1}\sum (X_{m}-\bar X_{m})^{2}}=1.69[/tex] SEM = [tex]\frac{SD}{\sqrt{20}}=0.38[/tex]Consider the data for female subjects:
Mean = [tex]\frac{1}{20}\sum X_{f}}=8.15[/tex] SD = [tex]\sqrt{\frac{1}{20-1}\sum (X_{f}-\bar X_{f})^{2}}=0.93[/tex] SEM = [tex]\frac{SD}{\sqrt{20}}=0.21[/tex]Use the Data Analysis tool in Excel to perform the hypothesis test.
The hypothesis can be defined as follows:
H₀: There is no difference between the two responses, i.e.[tex]\mu_{m}-\mu_{f}=0[/tex] .
Hₐ: There is a significant difference between the two responses, i.e.[tex]\mu_{m}-\mu_{f}\neq 0[/tex] .
Consider the Excel output for the hypothesis test.
The test statistic value is:
t = -5.32
The degrees of freedom is:
df = 38
The p value associated with the t value is:
p-value = 4.91025E-06 < 0.05
As the p-value is less than the significance level the null hypothesis will be rejected.
Conclusion:
Reject the null hypothesis that there is no difference between males and females on the recognition task.