Answer:
[tex]f(-3)=343[/tex]
Step-by-step explanation:
[tex]f(x)=(\frac{1}{7} )^x[/tex]
Plug -3 into x and solve using the negative power rule:
[tex]x^{-a}=\frac{1}{x^a}[/tex]
[tex]f(-3)=(\frac{1}{7} )^{-3} \\\\f(-3)=\frac{1}{\frac{1}{7}^3 } \\\\f(-3)=\frac{1}{\frac{1}{343} } \\\\f(-3)=343[/tex]
Sorry, those fractions got very small. Let me know if I need to clarify anything there
I need help for these 5 questions
Answer:
1. 6²=36
2. 289[tex]\frac{1}{2}[/tex] = 17
3. [tex]14^{-2}[/tex] = [tex]\frac{1}{196}[/tex]
4. 10³=1000
5. [tex]5^{4}[/tex]=625
Step-by-step explanation:
Answer:
1. 6² = 36
2. 289^1/2 = 17
3. 14^-2 = 1/196
4. 10³ = 1000
5. 5⁴ = 625
Step-by-step explanation:
I just used the rule that logₓy = n means that xⁿ = y and a logarithm without a base, has a base of 10 (called a "common logarithm").
Hey dude! you want some make of noise? I'm Dj from Pennsylvania
What's 3 1/200 as a percent?
Answer:
31200=300.5%
Step-by-step explanation:
31200=3+1200
=31+1200
=(31×200200)+1200
=600200+1200=601200
We know that
601200
is the same as
601÷200
Then using
gives us
=3.005
Convert the decimal to a percent:
3.005×100
and rounding to a Max of 2 Decimal Places
=300.5%
Justin has $500 in a savings account at the beginning of the summer. He wants to have at least $300 in the account by the end of the summer. Justin withdraws $20 each week for food, clothes, and movie tickets. How many weeks (w) can Justin withdraw money from his account?
Answer:
10 weeks
Step-by-step explanation:
1 because 20 times 10 is 200 and if he starts with 500 then he can withdraw 20 dollars a week for 10 weeks to have 300 left by the end of the summer, hope this helps :)
Your cousin opened a bank account with a deposit of $256 dollars. After one week, she had $280 in her account. After two weeks, she had $304, and after three weeks she had $328. If this pattern continues, how much money will your cousin have in her account after 18 weeks?
Answer:
dont waste your money... go and play free fire.. open play stire and downlod freefire. and waste your money in freefire by doing topup..
Consider the pattern 24, 33, 42, 51, …. What will the 10th term be?
Answer:
a₁₀ = 105
Step-by-step explanation:
There is a common difference between consecutive terms , that is
33 - 24 = 42 - 33 = 51 - 42 = 9
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 24 and d = 9 , then
a₁₀ = 24 + (9 × 9) = 24 + 81 = 105
The 10th number of the arithmetic sequence will be 105.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The arithmetic sequence is given below.
24, 33, 42, 51, ....
The first term is 24 and the common difference will be
d = 33 - 24
d = 9
Then the 10th term of the arithmetic sequence will be
a₁₀ = 24 + (10 - 1) × 9
a₁₀ = 24 + 9 × 9
a₁₀ = 24 + 81
a₁₀ = 105
The 10th number of the arithmetic sequence will be 105.
More about the arithmetic sequence link is given below.
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If Damien works for 10 hours each week and he made $123.60
for the week, how much was he making per hour?
Answer:
12.36
Step-by-step explanation:
Answer:
1 hour = $12.36
Step-by-step explanation:
10 hours = $123.60
=> 10/10 hours = 123.60/10
=> 1 hour = $12.36
Hoped this helped.
2 Which of the following would result in a
rotation 360° counterclockwise about the
origin?
® (x,y) - (-Y. -x)
© (x, y) - (-y, x)
(x, y) - (-x, -Y)
(x,y) - (x, y)
Answer:
(d) (x,y) ⇒ (x, y)
Step-by-step explanation:
Rotation 360° about any point brings the object back to its original location. The coordinates are unchanged.
(x,y) ⇒ (x, y)
Please help please please help me help please
Answer:
y = 9/10x - 7/5
Step-by-step explanation:
Slope = 9/10
Point (6,4)
y-intercept = 4 - (9/10)(6) = 4 - 54/10
= - 7/5
. एक श्रोताकक्ष की लम्बाई तथा चौड़ाई का अनुपात 3 : 2 है. यदि छत का क्षेत्रफल 600 वर्ग मीटर तथा चार दीवारों (d) 2200 वर्ग मा० का क्षेत्रफल 1500 वर्ग मीटर हो, तो इस कक्ष की ऊँचाई कितनी है ?
Answer:
.
Step-by-step explanation:
Answer: 2 है यदि छत का क्षेत्रफल 600 वर्ग मीटर तथा चार दीवारों का क्षेत्रफल 1500 वर्ग मीटर हो तो
Step-by-step explanation:
Alex has 14 bulbs to make a string of holiday lights. How many distinct arrangements can he make if
he has 3 red bulbs, 4 green bulbs, 2 blue bulbs, and 5 yellow bulbs?
We have "9 sockets choose 3" for the 3 red lights. That's (9C3) ways.
After screwing in those 3 red bulbs, there remain only 6 open sockets.
We have "6 sockets choose 4" for the 4 yellow lights. That's (6C4) ways.
After screwing in those 4 red bulbs, there remain only 2 open sockets.
We have "2 sockets choose 2" for the blue lights. That's (2C2) = 1 way.
After screwing in those 2 bulbs, all the sockets have a bulb in them.
Answer (9C3)(6C4)(2C2) = 1260.
Simplify the following. . .
5x + 5 = 10
Answer:
5x+5=10
5x=10-5
5x=5
x=5/5
x=1
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve for x ~
[tex]5x + 5 = 10[/tex][tex]5x = 10 - 5[/tex][tex]5x = 5[/tex][tex]x = 5 \div 5[/tex][tex]x = 1[/tex]therefore, value of x = 1 ~
Write an equivalent expression by combining like terms. (4/5x+3)-(1/4x-1)
Answer:
11/20x + 4
Step-by-step explanation:
Well you can jsut solve it normally following the order of operations.
So first you can distribute -(1/4x-1) which turns into 1/4x+1
4/5x+3+1/4x+1 combine like terms and you’d hey 11/20x +4
Part 1 of 2
Points: 0 of 1
a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 41 ft by 22 ft. The resulting piece of cardboard is the
folded into a box without a lid. Find the volume of the largest box that can be formed in this way.
b. Suppose that in part (a) the original piece of cardboard is a square with sides of length s. Find the volume of the largest box that can be formed in this way.
Answer:
Step-by-step explanation:
The table shows a linear relationship between x and y.
x
-6
-3
1
4
Y
21
13.5
3.5
-4
What is the slope of the line represented by the values in the table?
(A) use the Pythagorean theorean to determine the length of the unknown side of the triangle
Answer:
a. = 36km
b. Perimeter = 108km
c. Area = 486km^2
Step-by-step explanation:
Pythagoras theorem
a^2 + b^2 = c^2
27^2 + b^2 = 45^2
b^2 = 45^2 - 27^2
b^2 = 1296
b = [tex]\sqrt{1296}[/tex]
b = 36km
Perimeter
a + b + c
27 + 36 + 45 = 108
Perimeter = 108km
Area = [tex]\frac{ab}{2}[/tex]
Area = [tex]\frac{27 * 36}{2}[/tex]
Area = [tex]\frac{972}{2}[/tex]
Area = 486km^2
Find the equation of the line.
Answer:
Step-by-step explanation:
(-4,-5) and (6,4)
Slope: (4 - - 5) / ( 6 - - 4) = 9/10
y-intercept= - 5 - (9/10)(-4)
= - 5 + 36/10 = -7/5
y = 9/10x - 7/5
The equation of the line is x + 10y -19 = 0.
We are given that;
The points of line segment= (6,4) and (-4,5)
Now,
To find the equation of a line given two points, we can use the two-point form formula:
y − y 1 = y 2 − y 1 x 2 − x 1 ( x − x 1)
where (x 1, y 1) and (x 2, y 2) are the two given points and (x, y) is any point on the line.
We have:
(x 1, y 1) = (6,4)
(x 2, y 2) = (-4,5)
Substituting these values into the formula, we get:
y − 4 = 5 − 4 -4 − 6 ( x − 6)
Simplifying and rearranging, we get:
y = -1/10 x + 19/10
This is the equation of the line in slope-intercept form. We can also write it in standard form by multiplying both sides by 10 and moving all terms to one side:
x + 10y -19 = 0
Therefore, by equation the answer will be x + 10y -19 = 0.
Learn more about equation;
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can some one awnser this i got 2 more questions for this test.
Answer:
and question is
Step-by-step explanation:
A student's cost for last semester at her community college was 2800. She spent 448 of that on books. what percent of semester's college costs was sp books?
16%
Step-by-step explanation:
Percent can by calculated by part divided by whole multiplied by one hundred so (448/2800)*100=16
Complete the table for an object that goes 3/4 mile in 6 minutes .
Five tickets numbered 1, 2, 3, 4, and 5 are placed in a box, and three are selected at random. Determine the probability of obtaining a 1 or a 2 or both.
Answer:
the probability is 1 and 2
Help help help help help
Answer:
1,3
Step-by-step explanation:
1 belongs in the green box because on a graph, you start from the x axis which is the horizontal line. The dot is on top of the 1, so the green box would be 1. On the vertical line, the dot is next to the 3, so 3 would go in the grey box.
help with khan academy
Use the graph below to answer the question. On a coordinate plane, a line goes through (0, 0) and (3, negative 3). What is the slope of a line that is perpendicular to the line in the graph?
Answer:
y = x
Step-by-step explanation:
So 1st we need to find the slope of the original line which is y = -x
(use slope formula)
2nd Now we just need to reverse the slope, and that gets us to y = x
Answer: 6
its obvious
Mayor distributed 300 sacks of rice. A sack of rice weighs 50 kg. how many grams of rice did the mayor distribute?
Answer:
15,000,000 grams
Step-by-step explanation:
300 * 50 = 15,000kg
kg to grams is *1000
15,000 * 1000 = 15,000,000
Answer:
15,000,000.
Step-by-step explanation:
a line that passes through the point (8, 2) and has the slope -5/2
Answer:
y = -5/2x + 22
Step-by-step explanation:
y = mx + b
2 = -5/2(8) + b
2 = -40/2 + b
2 = -20 + b
22 = b
y = -5/2x + 22
The zeros of the quadratic function described by the graph below is
7. The zeros of the quadratic function described by the graph below is
1
A. 2,1
B. -2,1
C. 2,-1
D. -2,-1
Answer :C4 and 3x - 2 are both---------------- of 12x-8?
Thank you
3) 21а⁹ - ба⁴
Factor by GCF
[tex] \: \: \: \: \: \: [/tex]
[tex] = 3a ^{4} \times (7 {a}^{5} - 2)[/tex]
Step-by-step explanation:
[tex]21 {a}^{9} - 6 {a}^{4} [/tex]
factor out 3 a⁴ from the expression[tex] = 3 {a}^{4} \times (7 {a}^{5} - 2)[/tex]
hope it helps[tex] \: \: \: \: \: \: [/tex]
PLEASE HELP, PIC IS ATTACHED
Answer:
1. 1
2. 14
3.9
4. 15
5.17
step-by-step explanation:
take X and times it by 4 then add 9