Answers
Step-by-step explanation:
When multiplying 2 numbers with the same base number, we can directly add their indices.
For example, 2¹ * 2³ = 2^(1 + 3) = 2⁴.
Therefore 7³ * 7^? = 7^(3 + ?) = 7¹⁴.
=> 3 + ? = 14, ? = 11.
The blank should be filled with 11.
Related Questions
Debi walks laps around the mall for exercise during the winter months. The table represents the number of steps recorded on her pedometer as she walks laps around the mall one day.
Answers
Answer:
One lap around the mall is equal to 2,425 steps
Step-by-step explanation:
I got it right
Factor [tex]2x^2+13x-7[/tex]
Answers
*UNIT RATE AND PROPORTIONS*
the price for 4 pound of ribs is $28.00
*QUESTIONS* *what is the unit rate?* *how much would 6pounds cost?*
*how many pounds can be bought for $70* NEED HELP ASAP‼️‼️
Answers
Answer:
Unit rate is $7 per pound.
6 pounds will cost $42
You can buy 10 pounds for $70
Step-by-step explanation:
28/4 = $7 --> Unit rate is $7 per pound.
7 × 6 = $42 --> 6 pounds will cost $42
70/7= 10 --> You can buy 10 pounds for $70
Find the slope of the line that passes through (2, 12) and (9, 3).
Simplify your answer and write
as a proper fraction, improper fraction, or integer.
Answers
Answer:
The slope of line is [tex]-\frac{9}{7}[/tex].
Step-by-step explanation:
Given points are;
(2, 12) and (9, 3)
Here,
x1 = 2 and y1 = 12
x2 = 9 and y2 = 3
Slope of a line is given by the following formula;
[tex]m =\frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{3-12}{9-2}\\\\m=\frac{-9}{7}[/tex]
Therefore,
The slope of line is [tex]-\frac{9}{7}[/tex].
can somebody help me with these two please and thank you. :)
Answers
How to find the derivative of the below question?
Answers
Given:
[tex]y=\dfrac{x}{\sqrt{x-1}}[/tex]
To find:
The derivative of the given problem.
Solution:
Chain rule : [tex]\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)[/tex]
Quotient rule : [tex]\dfrac{d}{dx}\left(\dfrac{f(x)}{g(x)}\right)=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]
We have,
[tex]y=\dfrac{x}{\sqrt{x-1}}[/tex]
Differentiating with respect to x using chain rule and quotient rule, we get
[tex]\dfrac{dy}{dx}=\dfrac{\sqrt{x-1}\dfrac{d}{dx}(x)-x\dfrac{d}{dx}(\sqrt{x-1})}{(\sqrt{x-1})^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{\sqrt{x-1}(1)-x\dfrac{1}{2\sqrt{x-1}}\dfrac{d}{dx}(x-1)}{(x-1)}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{\sqrt{x-1}-\dfrac{x}{2\sqrt{x-1}}(1-0)}{x-1}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{\sqrt{x-1}-\dfrac{x}{2\sqrt{x-1}}}{x-1}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{\dfrac{2x-2-x}{2(x-1)^{\frac{1}{2}}}}{(x-1)}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{x-2}{2(x-1)^{\frac{3}{2}}}[/tex]
Therefore, the required derivative is [tex]\dfrac{dy}{dx}=\dfrac{x-2}{2(x-1)^{\frac{3}{2}}}[/tex].
If YZ= 55 millimeters, what would be the length of QR? Millimeters
Answers
Answer:
30 mmStep-by-step explanation:
Hope it helpA grocery store sells a bag of 7 oranges for $6.65. What is the unit cost?
Answers
What are the coordinates of point A?
Answers
Answer:
-4,-3
Step-by-step explanation:
Answer: I can't see the 4th answer but i and going to guess it's (-4,-3).
I think you answer is D. (-4,-3).
I hope it's right
7TH GRADE MATH PLS HELPPPP,
About how many centimeters are in 6.25 inches if 1 inch is about 2.5 centimeters? Show your reasoning.
PL SHOW UR WORK, WILL GET BRAINLEST N POINTS IF YOU EXPLAIN!!!!
Answers
Answer:
15.625 cm
Step-by-step explanation:
1 in = 2.5 cm
6.25 in = x
x = 6.25 * 2.5
x = 15.625 cm
Ben is playing a card game. The numbers of the cards in his hand are 2, 3, 4, 4, 5, 7, 9, and 10. Ben may only play one card at a time.
What is the probability the next card Ben plays will be an odd number?
343 fourths
121 half
383 eighths
14
Answers
Answer: Half
Step-by-step explanation:
Pleaseee need help quick
Answers
Answer: 12 minutes
Step-by-step explanation: water :)
PLS HELP 6TH GRADE MATH DUE IN 1 MIN
Answers
Answer:
second one is also done.
8(3x-2)=2(8)+16 explanation how the order of operations is used. How the equation is kept balanced.
Answers
Answer:
See explanation
Step-by-step explanation:
Given;
8(3x-2)=2(8)+16
We clear the brackets
24x - 16 = 16 + 16
24x - 16 = 32
We add 16 to both sides
24x - 16 + 16= 32 + 16
24x = 48
We divide both sides by 24
24x/24 = 48/24
x =2
6. A cation is any atom or group of atoms with
A) a positive charge. B) no charge. C) a negative charge. D) more electrons
Please help !!!
Answers
Answer:
bro ur in mathematics
Step-by-step explanation: none
You buy two packages of almonds. One package is 10.47 kg and the other is 8.23 kg. What is the difference?
Answers
Answer:
2.04 kg
Step-by-step explanation:
graph the equation y = -3x on a graph
Answers
Put a dot on the -3 from the y-axis and draw a straight line from left to right.
A teacher wants to investigate whether listening to music while taking a math test increases scores. He instructs half
of his 36 students to listen to music while taking a test and the other half to not listen to music during the test. To
determine who listens and who does not, the teacher identifies the two students who scored highest on the last test
and randomly instructs one to listen to music and one to not. The teacher does the same for the next two highest-
scoring students and continues in this manner until each student has their instructions. Which of the following best
describes this plan?
O This is a cluster sample.
O This is an observational study.
O This is a stratified random sample.
O This is an experiment with blocking.
O This is a completely randomized experiment.
Answers
For your question: "A teacher wants to investigate whether listening to music while taking a math test increases scores. He instructs half
of his 36 students to listen to music while taking a test and the other half to not listen to music during the test. To
determine who listens and who does not, the teacher identifies the two students who scored highest on the last test
and randomly instructs one to listen to music and one to not. The teacher does the same for the next two highest-
scoring students and continues in this manner until each student has their instructions. Which of the following best
describes this plan?"
The answer is D
Find the exact value of cot 315∘ in simplest form with a rational denominator.
Answers
−
cot
(
45
)
Answer: -1
Step-by-step explanation:
PLZ!!!!!!!!!!!! Answer quickly
find range, domain, asymptote, and y-intercept of the equation f(x)=5^x
Answers
Answer:
i have no idea how to answer this
Step-by-step explanation:
it really works
can you please help me solve the question pictured?
Answers
Answer:
2 x 10 to the 3rd power
Step-by-step explanation:
0.008/0.000004 = 2,000
2,000 = 2 x 10 3
what is the measure of
Answers
Answer:
[tex]abd = 180 - 32 (linear \: pair)\\ = 148 [/tex]
Complete the table for the given rule.
Rule: y = x + 3
у
5
Answers
Answer:
Step-by-step explanation:
x=y-3 this is your main formula to find x
first y=4-3=1 , x=1
second y=8-3=5 , x=5
third y=5-3=2, x=2
cost
I-cost
I-cost
I cost
= 4 cost cact
verify
Answers
Answer:
yes
Step-by-step explanation:
Consider right triangle
Answers
Answer:
i think its c?
Step-by-step explanation:
Can you help me graph y = -7x - 1 ?
Answers
In triangle XYZ, let angle Y be a right angle, mZ = 54°, and YZ = 361. Find the area of the
triangle. Round to the nearest whole number.
Answers
Answer:
89,709
Step-by-step explanation:
∡Z= 54°
tan 54 = XY / 361
XY = 361 · tan 54°
XY = 497
A = 1/2 (361) (497)
Melody is solving the equation x +12=31. Find her mistake and correct it.
Answers
Can someone explain please!!!
What is the value of this Expression (81¼) ⁴
Answers
Answer: 43580627.4414
This question is fake I think because it is impossible even for 10x10x10x10 to get an 2 digit answer
2 , 19, 4, 1,8
median ???
Answers
Answer:
Median is 4
Step-by-step explanation:
