Answers
Answer:
A, B, C,
Step-by-step explanation:
Just use a calculator...?
a)
[tex]2^-^2*2^8=\frac{1}{2^2}*2^8=\frac{2^8}{2^2}=2^8^-^6=2^6=64\\[/tex]
b)
[tex]3^-^5*3^1=\frac{1}{3^5}*3=\frac{3}{243}=\frac{1}{81}[/tex]
c)
[tex]4^4*4^-^3=\frac{4^4}{4^3}=4^1=4[/tex]
d)
[tex]5^3*5^-^1=\frac{5^3}{5^1}=5^2=25[/tex]
e)
[tex]6^-^8*6^-^6=\frac{6^6}{6^8}=6^-^2=\frac{1}{6^2}=\frac{1}{36}[/tex]
f)
[tex]8^2*8^-^4=\frac{8^2}{8^4}=8^-^2=\frac{1}{8^2}=\frac{1}{64}[/tex]
Related Questions
How are the ordered pair (4,9) and (4,-9) similar, and how are they different?
Answers
Answer:
Both of the points are in the same x-axis (which is 4). However, they are different because one of them is shifted 9 units up and the other one is shifted 9 units down (their y-axis are different). Their quadrants are also different since (4,9) is at the first quadrant, while (4,-9) is at the fourth quadrant.
A rectangle measures 54 feet by 72 feet. What is the length, in feet, of
the diagonal of the rectangle?
a. 48 ft
b. 90 ft
c. 110 ft
d. 2268 ft
e. 8100 ft
Answers
length (l) =54
breath (b) =72
l²+b²= diagonal²..........(Pythagoras theorem) and (all sides of rectangle are 90degree)
(54)²+(72)²=diagonal²
2916+5184=diagonal²
8100=diagonal²
90= diagonal.............(taking square root)
length of diagonal is 90ft
i hope it helps
have a nice day and thanks for asking this question
Find the length of side x in simplest radical form with a rational denominator.
60°
5
X
30°
Answers
Explanation:
According to 30-60-90 triangle rule:
The side opposite of 30 degree is equal to half of the hypotenuse and the hypotenuse here is 5 so therefore x = 5/2
Simplify: -x + 8x if you can
Answers
Answer:
7x
Step-by-step explanation:
-x + 8x =
8x - x =
7x
Find the scale factor of trapezoid QRST if it’s dilated to Q’R’S’T’. Type your result in the empty box provided below. HELPP PLEASE!!!!!!
Answers
Answer:
5 units
Step-by-step explanation:
its hard to tell but i think it dilated 5 units
We want to find the scale factor at which QRST is dilated to form Q'R'S'T'
We will find that the scale factor is 2.
In a general dilation, we will see that all the measures change in the same way, by the scale factor.
This means that:
QR*k = Q'R'
RS*k = R'S'
And so on, where k is the scale factor.
Then we can just find one of the equivalent measures in both trapezoids and find the value of k.
For example, we have:
Q'R' = 8
QR = 4
Replacing these on the above equation we get:
4*k = 8
k = 8/4 = 2
k = 2
The scale factor of dilation is 2.
If you want to learn more, you can read:
https://brainly.com/question/14793702
Need this ASAP thanks
Answers
Answer:
A. Substitution
Step-by-step explanation:
You have already gotten what y is in x terms, so you could plug that into the first equation and find out what y and x are
A weather forecaster claimed the chance of rain next week on Monday is 50% and the chance it rains on Tuesday is 80%. Is the probability that it rains next
Monday and Tuesday equal to 40%?
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.
O No, because the chance of rain on Monday and the chance of rain on Tuesday are not independent.
O No, because the chance of rain Monday and the chance of rain Tuesday are not mutually exclusive.
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are mutually exclusive,
Answers
Answer:
A: Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.
Step-by-step explanation:
We are given;
chance of rain next week on Monday is 50%. Thus;
P(rain next Monday) = 0.5
chance it rains on Tuesday is 80%. Thus;
P(rain next Tuesday) = 0.8
From independent events, we can say that;
P(A and B) = P(A) × P(B)
A and B are independent events because the probability of A doesn't affect B as is the case for rain on Monday and Tuesday given.
Thus;
P(rain on Monday & tuesday next week) = 0.5 × 0.8 = 0.4
This can also be written as 40%
Correct answer is option A since both events are independent
plz help thanks . uh idk what to write but it’s making me write
Answers
Answer:
A, 4, -1
It's reflected over the y-axis, so it goes to the right side.
Answer:
a (4,-1)
Step-by-step explanation:
A is the answer.
Hi what is 50.4 ➗ 2.4 any smart people here.
Answers
Answer:
21
Step-by-step explanation:
Answer:
The answer is 21! (Use long division)
The expression on the left side of an equation is shown below.
Negative 4 (x minus 2) + 5 x = box
If the equation has no solution, which expression can be written in the box on the other side of the equation?
Answers
Answer:
9x-9
Step-by-step explanation:
the expression on the left simplifes to be 9x-8 so anything other than that will not produce a solution
examples: 9x+1, -9x-8, 10x+3, 12x . . .
Answer:d
Step-by-step explanation:
3. The area of a rectangle is 37 square meters. If the length is 5 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth
Answers
Answer:
length is 13.6m
width is 2.72m
At a local high school, 30% of the students have a part-time job, 45% of the students are on the principal's honor roll, and 20% of the students have a part-time
job and are on the principal's honor roll. If a student was randomly selected from this school, what is the probability that the student has a part-time job or is on
the principal's honor roll?
0 95%
O 759
O 55%
O 3596
Answers
Answer:
b
Step-by-step explanation:
Answer:
b he is your answer dear friend
A sample of 40 CDs from a student's collection showed a mean length of 52.74 minutes with a standard deviation of 13.21 minutes. Construct a 95% confidence interval for the population standard deviation. (Round your answers to 4 decimal places.) The 95% confidence interval is from to .
Answers
Answer:
(48.65, 56.83)
Step-by-step explanation:
Given that :
Sample size (n) = 40
Mean (m) = 52.74
Standard deviation (s) = 13.21
α = 95%
Confidence interval around sample mean can be obtained using the relation :
Mean ± Zstatistic * s/√n
Z score for 95% confidence interval = 1.96 (Z probability calculator)
s / √n = 13.21 / √40 = 2.0886843
Lower limit of confidence interval :
52.74 - (1.96 * 2.0886843) = 48.646178772 = 48.65
Upper limit of confidence interval :
52.74 + (1.96 * 2.0886843) = 56.833821228 = 56.83
What is |9|?
-18
-9
9
18
Answers
Answer:
the true answer is 9
Step-by-step explanation:
Because the product of the absolute value is the same number and positive
Find the dimensions of the box with volume 8000 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box.)
Answers
Answer:
[tex]x = y = z = 20[/tex]
Step-by-step explanation:
Given
[tex]Volume = 8000cm^3[/tex]
Required
Determine the dimensions that minimizes the surface area.
Surface area of a box is;
[tex]S = 2(xy + xz + yz)[/tex]
Volume of a box is:
[tex]V = xyz[/tex]
Make z the subject
[tex]z = \frac{V}{xy}[/tex]
Substitute 8000 for V
[tex]z = \frac{8000}{xy}[/tex]
Substitute 1000/xy for z in [tex]S = 2(xy + xz + yz)[/tex]
[tex]S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})[/tex]
[tex]S = 2(xy + \frac{8000}{y}+\frac{8000}{x})[/tex]
Expand:
[tex]S = 2xy + \frac{16000}{y}+\frac{16000}{x}[/tex]
[tex]S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})[/tex]
Differentiate S w.r.t x
[tex]\frac{dS}{dx} = 2y - \frac{16000}{x^2}[/tex]
Differentiate S w.r.t y
[tex]\frac{dS}{dy} = 2x - \frac{16000}{y^2}[/tex]
Equate both differentiation to 0
[tex]2x - \frac{16000}{y^2} = 0[/tex]
Multiply through by [tex]y^2[/tex]
[tex]2xy^2 - 16000 = 0[/tex]
[tex]2xy^2 = 16000[/tex]
Divide through by 2
[tex]xy^2 = 8000[/tex] -- (1)
[tex]2y - \frac{16000}{x^2} = 0[/tex]
Multiply through by x^2
[tex]2x^2y - 16000 = 0[/tex]
[tex]2x^2y = 16000[/tex]
Divide through by 2
[tex]x^2y = 8000[/tex] --- (2)
Divide (1) by (2)
[tex]\frac{x^2y = 8000}{xy^2 = 8000}[/tex]
[tex]\frac{x}{y} = 1[/tex]
[tex]x = y[/tex]
Substitute y for x in (1)
[tex]x^2y = 8000[/tex]
[tex]x^2 * x = 8000[/tex]
[tex]x^3 = 8000[/tex]
Take cube roots
[tex]x =20[/tex]
Hence;
[tex]x = y = 20[/tex]
Recall that:
[tex]z = \frac{8000}{xy}[/tex]
[tex]z = \frac{8000}{20 * 20}[/tex]
[tex]z = 20[/tex]
Hence, the dimension of the box that minimizes the surface area of the box is:
[tex]x = y = z = 20[/tex]
find the value of this expression if x=1 and y=-5
x^2y/7
Answers
Answer:
5/7
Step-by-step explanation:
1^2(-5)/7
1^-10/7
1/7
= 0.1428
I think...
Each dairy cow in the U.S. produces an average
of 25 quarts of milk per day. Given that there are
quarts in a gallon, how many gallons of milk does a
cow produce?
Answers
a cow produces about 6 gallons of milk per day
(HELP PLEASE)Patrick Mahomes completed 15 of his 25 passes for the Kansas City Chiefs. What
percent of this throws were completions?
Answers
Answer:
60%
Step-by-step explanation:
15/25 = x/100
0.60 = x/100
0.60 * 100 = x
60 = x
25 * 60% = 15
How do you write the difference of a number 11 and d
Answers
To find the difference between 2 values you would subtract.
You would write this as 11-d
Explanation: We know to set up a subtraction equation because the key word difference which means we subtract have a nice day (:
Which fraction shoes unit rate that is equal to the ratio 18:2
Answers
Answer: 9/1
Step-by-step explanation:
1. What is the best estimate for the
product of 37 and 19?
Answers
Answer: 800.
Step-by-step explanation: Round them both to the nearest ten. That is 40x20.
Answer:
2
Step-by-step explanation:
40/20=2
[6TH GRADE] Kidneys are components of the urinary system, a subsystem that filters waste from the blood. A kidney is made up of millions of smaller units, called nephrons. Based on this information, which of the statements could be true? Select ALL that apply.
A. A nephron is a subsystem.
B. A kidney is a subsystem.
C. A kidney is an organ system.
D. A kidney is an organ.
help please:/ 11 points :D
im going to put this in mathematics because mathematics is most viewed.
Answers
Answer:
D. A kidney is an organ is correct.
Step-by-step explanation:
A kidney is a part of our body that cleans our blood, ridding it of all uncleanliness, similar to a water filter.
A kidney is an organ because it's one of the essential parts of our body that we need to survive. Our body couldn't live with too much/ too little salt and other substances in our blood.
Therefore, the correct answer is D. A kidney is an organ.
Hope this helps! :D
IN HURRY PLEASE HELP IF CAN
According to the graph, what is the experimental probability of selecting the letter C?
16%
20%
16.7%
24%
Answers
Answer: 24%
Step-by-step explanation:
45 is the total number of occurrences, and 6 different occurrences round it off to 8 being the closest to 25% thus that's how I figured out 24
Use the zero product property to find the solutions to the equation x^2-15x-100=0
Ox=-20 or x = 5
Ox=-20 or x =-5
Ox=-5 or x = 20
Ox= 5 or x=20
Answers
Answer:
C. x=-5 or x=20
Step-by-step explanation:
Factor [tex]x^{2}[/tex]-15x−100 using the AC method
(x-20)(x+5)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0
x−20=0
x+5=0
Set x−20 equal to 0and solve for x
x=20
Set x+5 equal to 0 and solve for x
x=−5
The final solution is all the values that make (x−20)(x+5)=0 true. The multiplicity of a root is the number of times the root appears.
x=20(Multiplicity of 1)x=−5 (Multiplicity of 1)
The solutions to the equation x² - 15x - 100 = 0 are:
x = 20 and x = -5.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To use the zero product property to solve the equation:
x² - 15x - 100 = 0.
Factor the left-hand side of the equation:
(x - 20)(x + 5) = 0
Apply the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero:
x - 20 = 0 or x + 5 = 0
Solve for x in each equation:
x - 20 = 0
x = 20
x + 5 = 0
x = -5
Therefore,
The solutions to the equation x² - 15x - 100 = 0 are:
x = 20 and x = -5.
Learn more about solutions of equations here:
https://brainly.com/question/545403
#SPJ7
GIVING OUT BRAINLIEST!!! PLS HELP ASSAPPP!!!!
Which statement is correct when solving the expression 5y^2-3y^2?
Add the coefficients (5 + 3).
Subtract the exponents (2 – 2).
Add the exponents (2 + 2).
Subtract the coefficients (5 – 3).
Answers
Answer:
C. Add the exponents (2+2)
D. Subtract the coefficients. (5-3)
2y^4
I hope this helped! :))
( b/c you can’t add exponents unless they have the same base )
Help I have like 10 minutes
Answers
Answer:
Option C
Step-by-step explanation:
please mark me brainliest and 5 star
Expand and simplify , 4(x+3)^2-3(x+4)(x-4)
Answers
Answer:
x² + 24x + 84
Step-by-step explanation:
4 * (x+3)(x+3) - 3 * (x+4)(x-4)
4(x²+6x+9) - 3(x²-16)
4x² + 24x + 36 - 3x² + 48
x² + 24x - 84
X^2+24x+84
Which statement about the figure is false?
Answers
Answer:
what are the options and the figures???
Step-by-step explanation:
Dieciocho centésimas a números
Answers
Answer:
.18
Step-by-step explanation:
help now i will mark brainly
Answers
Answer:
6. 928 R 3
7. 4/6
8. 2/8
Step-by-step explanation: