Answer:
(a) and (b) are not equivalent
(c) is equivalent
Step-by-step explanation:
Given
[tex]\frac{25^m}{5}[/tex]
See attachment for complete question
Required
Determine an equivalent or nonequivalent expression
[tex](a)\ 25^{m-1[/tex]
We have:
[tex]25^{m-1[/tex]
Apply law of indices
[tex]25^{m-1} = \frac{25^m}{25}[/tex]
This is not equivalent to [tex]\frac{25^m}{5}[/tex]
[tex](b)\ 25^{2m - 1}[/tex]
We have:
[tex]25^{2m - 1}[/tex]
Apply law of indices
[tex]25^{2m - 1} = \frac{25^{2m}}{25}[/tex]
This is not equivalent to [tex]\frac{25^m}{5}[/tex]
[tex](c)\ 5^{2m-1}[/tex]
We have:
[tex]5^{2m-1}[/tex]
Apply law of indices
[tex]5^{2m-1} = \frac{5^{2m}}{5^1}[/tex]
[tex]5^{2m-1} = \frac{5^{2m}}{5}[/tex]
Evaluate the numerator
[tex]5^{2m-1} = \frac{25m}{5}[/tex]
This is an equivalent expression
A box of cherries weighs 2 1/4 pounds.
If you bought 5 boxes, what is the total
weight of the purchased cherries?
Answer:
The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.
Step-by-step explanation:
Multiply [tex]2\frac{1}{4}[/tex] by 5.
[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]
Answer:
11.25 or 45/4
Step-by-step explanation:
2 1/4 times 5
In a bag are 3 red, 9 blue, 2 yellow and 3 green marbles. If you draw out a marble at random, what the probability that you will draw a blue marble? P(blue)
Question 2 options:
3/17
9/17
2/17
14/17
Answer:
9/17
Step-by-step explanation:
there are 17 marbles in total 9 of them are blue therefore, 9/17 is the correct answer
HELP PLEASEE no links hellpp
Select all the shapes that do not have perpendicular sides.
A. Square
B. Equilateral triangle
C. Rectangle
D. Right triangle
E. Acute triangle
Answer:
B and E
Step-by-step explanation:
perpendicular sides mean they will equal 90 degrees... so all rectangles and squares are perpendicular- a 90 degree triangle also is perpendicular. The Equatorial and the Acute triangle do not have 90 degree angles
sin 0
4. Find tan0 .
A.
B.
C.
D.
Answer:
A
Step-by-step explanation:
Answer:
D. 9/40 would be the answer.
Step-by-step explanation:
formula
sinQ= opp/hyp (9/41)
TanQ= opp/adj (which mean 9 /40)
Some one please help!!
Answer:
$542.50
Step-by-step explanation:
64th term of arithmetic sequence 29,38,47
Answer:
596
Step-by-step explanation:
Each term of the arithmetic sequence is 9 greater than the previous term.
Since the first term is 29, then 29+9 = 38, the second term in the sequence. Likewise, the third term, 47, is 9 greater than the previous term, 38. 47 is also 2(9) greater than the first term, 29.
Therefore, finding the 64th term in the sequence would be the same thing as adding 9 to the first term (29) a total of n-1, or 64-1 times. Instead of adding, one can simply multiply 29 by 63, since 64-1 = 63.
29 + 63(9)
= 29 + 567
= 596
So, the 64th term of the arithmetic sequence is 596.
which system of equations has no solution?
g(x)=2x-x when x=-5
What is the answer to this please solve
9514 1404 393
Answer:
-5
Step-by-step explanation:
The given linear equation simplifies to ...
g(x) = 2x -x
g(x) = x
For x = -5, this is ...
g(-5) = -5
A restaurant bill is $21. You leave a 15% tip. Which of the following represents the amount a customer pays including the tip of 15% if the bill was dollars?
a. 0.15b
b. 15b
c. b + 0.15b
d. 1.15b
e. 1.015b
f. b + 15/100b
g. b + 0.15
Find the degree of the monomial (question in image)
Answer:
The answer to this question is 13
4x-3=9 what does x equal show work
Answer:
x = 3
Step-by-step explanation:
4x - 3 = 9
4x = 9 + 3
4x = 12
x = 12/4
x = 3
Point Q was rotated about the origin (0,0) by -165
Answer:D
Did it on khan academy
Please help and explain how you got the answer
Answer: 30°
Step-by-step explanation:
we have to find the angle adjacent with the right angle. For this we use the (-).
At this point, I am guessing you know how to use SOH-CAH-TOA, for this one we use SOH so sin. If you have a calculator set it on degree mode, then plug it in as sin⁻₁(), we put it like that because the missing angle has the given number opposite and the hypotenuse. It solves it and now we get 30 for the answer. I dont know if that made sense, tell me if it didnt so I can explain it better.
What is the solution of the equation 3/4x + 5 = -9 ?
Answer:
x = -56/3
And that will be ur answer
4)
The first play of a football game resulted in a loss of 9 yards. Which absolute value statement describes the loss of yards?
Answer:
|-9| = 9
That is the absolute value for the loss of yards
1. Of the 100 fourth-grade students at Patterson Elementary, 57 are girls. What portion of the fourth-grade class at Patterson elementary is female? Express your answer as a decimal.
Answer:
girls 57/100 57% 0.57
Step-by-step explanation:
boys 43/100 43% 0.43
all the ways
The portion of girls in the fourth grade class will be 57/ 100 and in the decimal form it will be 0.057.
It is given that there are total 100 students at a school in fourth grade out of which 57 are girls.
We have to find out the portion of girls in the fourth grade class and express it to decimal.
What is the decimal fractions ?
Decimal fractions are the fractions in which the denominator must be 10 or a multiple of 10 i.e., 100, 1000, 10000, and so on.
As per the question ;
57 are girls out of total 100 students in a class at a school.
The number of boys will be ;
= 100 - 57 = 43
The no. of girls in fraction form will be ;
= 57 / 100
and in the decimal form it will be ;
= 0.057
The no. of boys in decimal form will be ;
= 47 / 100
= 0.047
Thus , the portion of girls in the fourth grade class will be 57/ 100 and in the decimal form it will be 0.057.
To learn more about fraction and decimal form click here ;
https://brainly.com/question/2094121
#SPJ2
2 1/3 x 4 4/5as a fraction
Answer:
11 1/5
Step-by-step explanation:
2 1/3 × 4 4/5
=7/3 × 24/5
=56/5
=11 1/5
giving brainliest !!!!!
Answer:
400mm
Step-by-step explanation:
20x20=400
Find the conjugate and product of the following surds
1) i3 + i5
2) i3 + 9
3) - i2 + 1
4) - 3 + iy
Answer:
(1) Conjugate = -i8
(2) Conjugate = -i3+9
(3) Conjugate = i2+1
(4) Conjugate = -3-iy
Step-by-step explanation:
From the question,
Conjugate of a surd is formed by changing the sign between a rational number and a surd in an expression.
The conjugate of a surd is obtained by changing the sign of the surd in the expression.
Given
(1) i3+i5 = i8
Conjugate is -i8
(2) i3+9
Conjugate is -i3+9
(3) -i2+1
Conjugate is i2+1
(4) -3+iy
Conjugate is -3-iy
What is the volume of the rectangular prism 1.5" by 1" by 3.5"
Answer:
5.25
Step-by-step explanation:
Plz help me!. Well mark brainliest if correct!
Answer:
Point W
Step-by-step explanation:
Choose the graph of the following function:
f(x) = 2 cos(3x)
Graph A
-4
Graph B
4
3
MAAILMA
Answer:
Graph B
Step-by-step explanation:
Let take a look of original graph, cos(x)
The amplitude of that graph is 1.
The ampictude of both graphs is 2 so that means the amplitude transformation, 2 has been applied.
We need to find the x intercept.
[tex] \cos(0 ) = 1[/tex]
so
[tex]2 \cos(3(0)) = 2[/tex]
The graph should intersecting at point
0,2 so the answer is
Graph B
Answer:
B on edge
Step-by-step explanation:
Find the value of x.
Answer:
x = 63
Step-by-step explanation:
All triangle angles add up to 180 so:
x + 62 + 55 = 180
x + 117 = 180
x = 180 - 117
x = 63
A 30°- 60°- 90° triangle is shown below. Find the length of a and b. * leave the answer in simplified radical form*
Step-by-step explanation:
a = 12√3
b = 24
hope this helps
(2, 4) after a reflection over the x-axis?
A school had decided to hire a new vice principal. A recent issue 4 of the NEA magazine stated that the average vice principal salary s for a school of similar size is $60,000. At the request of the Board of Education, the principal conducts his own survey of vice principal's salaries. His survey of 25 schools revealed an average salary or $72,000 and a standard deviation of $9,000. Perform a hypothesis test at a 5% significance level to test the magazine's claim.
Required:
a. What is the appropriate sampling distribution to use?
b. State the null and alternative hypotheses.
c. State the decision rule at a significance level of 5% show all calculations
d. Illustrate all key numbers and areas on a graph.
e. What decision should the school principal make?
f. What type of error can possibly be made with the decision in part (e)?
g. What is the value of the Maximum Tolerable Error for this problem?
Answer:
1.) t - distribution
2.) H0 : μ = 60000 ; H1 : μ > 60000
3.) P < α (Reject Null) ; P > α (fail to reject Null)
4.) Reject H0
Type 1 error
Step-by-step explanation:
Null hypothesis, H0 : μ = 60000
Alternative hypothesis, H1 : μ > 60000
Decison rule at 5% significance ;
P < α (Reject Null)
P > α (fail to reject Null)
Xbar = 72000 ; std = 9000
Test statistic :
(Xbar - μ) ÷ (std / sqrt(n))
(72000 - 60000) ÷ (9000 / sqrt(25))
12000 ÷ 1800
Test statistic = 6.667
Using the Pvalue calculator from test statistic :
Test statistic = 6.667 ; df = 24 - 1 = 24
Pvalue = 0.00001
Pvalue < α ; Hence, we reject the Null
Type 2 error : This means accepting a Null hypothesis that should be rejected.
Find the midpoint of the line segment with end coordinates of:
(-2,-4) and (-1,-5)
Give coordinates as decimals where appropriate.
Answer:
The midpoint of this line segment is (-1.5, -4.5).
Step-by-step explanation:
In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:
-2 -1
x-coordinate of midpoint = --------- = -3/2 = -1.5
2
-4 -5
y-coordinate of midpoint = ---------- = -4.5
2
The midpoint of this line segment is (-1.5, -4.5).
help me dont put links while answering question
Answer:
It's A, 3.82
Step-by-step explanation:
the decimal table goes up to left
S) A $4.00 sales tax is charged for a $50.00 purchase. At this rate, what is the sales tax for a $1200.00
purchase?
Please help me :) I’m down bad
Answer:
$96
Step-by-step explanation:
4/50=.08 which is sales tax rate
1200X.08=$96 sales tax
to make 20 pancakes you must use 7 eggs. How many eggs are needed to make 54 pancakes?
Answer:
18.9 eggs
Step-by-step explanation:
54÷20= 2.7
2.7 ×7=18.9