Answer:
7^4
Step-by-step explanation:
The equivalent expression 7^8 x 7^-4 using a single exponent is 7^4
How to write the expression using a single exponent.From the question, we have the following parameters that can be used in our computation:
7 ^ 8 x 7 ^ -4
This means that
7^8 x 7^-4
Apply the law of indices
So, we have
7^8 x 7^-4 = 7^(8 - 4)
This gives
7^8 x 7^-4 = 7^4
Hence, the solution is 7^8 x 7^-4 = 7^4
Read more about expressions at
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A worker at a snack stand opened a new box of spoons. The first day, the worker used 25 spoons from the box. The second day, the worker used 15% of the remaining spoons in the box. A total of 140 spoons were used on the second day. What was the original number of spoons in the box before any spoons were used?
The original number of spoons is 958
Let the total number of spoon be x.
The first day, 25 spoons were removed.
So, the remaining spoon (r) is:
[tex]r =x -25[/tex]
15% of the remaining spoon were used.
So, we have:
[tex]15\% \times r =15\% \times (x -25)[/tex]
This 15% represents 140 spoons.
So, the equation becomes
[tex]15\% \times (x -25) = 140[/tex]
Express 15% as decimal
[tex]0.15 \times (x -25) = 140[/tex]
Divide both sides by 0.15
[tex](x -25) = 933[/tex]
Remove brackets
[tex]x -25 = 933[/tex]
Add 25 to both sides
[tex]x= 958[/tex]
Hence, the original number of spoons is 958
Read more about proportion at:
https://brainly.com/question/12182733
The extended warranty on a $885 washer is 15% of the purchase price and lasts for five years. What is the effective cost per year of the extended warranty?
(use a dollar sign and 2 decimal places)
Answer:
8.85
Step-by-step explanation:
10 points
13 Jake has a wooden board that measures
8.25 feet long. He cuts the board into
pieces that each measure 0.75 feet so
he can make signs. If Jake earns $15.95
for each sign he sells, how much money
can he earn from the signs he makes
from this board?
a
Your answer
Answer:
$175.45
Step-by-step explanation:
8.25 / 0.75 = 11
15.95 x 11 = 175.45
Find the maturity value of a loan of Php 5,000 at an interest rate of 15% in 2 years
Answer:
Php 6500
Step-by-step explanation:
Assuming simple interest, the value after 2 years is ...
A = P(1 +rt) . . . . . value of loan of principal P at annual rate r for t years
A = 5000(1 +0.15·2) = 5000(1.30) = 6500
The maturity value will be Php 6500.
can i get some help? :') I dont know what im doing
The chart I've attached is very helpful for these types of problems!
A 270 degree rotation clockwise is (-y, x).
X = 3
Y = -2
V' = (2, 3)
Hope this helps! :)
Please help me solve this. warning: an equation may have no solution, one solution or more than one solution.
5x-13=2x-9-4+3x
I got the answer and steps for this math problem,
Answer:
[tex]5 \times - 13 = 2 \times - 9 - 4 + 3 \times \\[/tex]
= 1 5/9 or 1 .5555556.
Step-by-step explanation:
Please comment if I'm
wrong...
For a basic subscription, a cable television provider charges an activation fee of $60, plus $125 per month. What linear function represents the total cost of a basic cable subscription for t months? What is the total cost for two years of service?
Answer:
t=23
Step-by-step explanation:
How many solutions does this system of equations have?
Exactly one
None
Infinitely many
Exactly two
Answer:
Infinitely many
Step-by-step explanation:
A sphere has an area equal to 4800 cm2. Considering π = 3, what is the measure of its radius? * 15 cm 10 cm 144 cm 12 cm 20 cm
Answer:
20 cm
Step-by-step explanation:
Use the formula
A=4πr^2
Solving for radius
[tex]r = 1/2 \sqrt{A/\pi } = 1/2 \sqrt{4800/\pi }[/tex] ≈ 19.5441
We are given –
[tex] \sf \begin{cases} \sf A_{\circ} = 4\: 800\: cm^2 \\ \sf \pi = 3 \\ \sf r = \:?\: cm\end{cases}[/tex]
A sphere is a three-dimensional object that results from the rotation of a circle around its diameter.The spherical surface area is given by–[tex] \pink{\bf\boxed{ \bf{A = 4 \pi \cdot r^2}}}[/tex]Just use the formulas for the sphere's area to determine the radius.
[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf A_{\bigcirc} = 4 \pi \cdot r^2} [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 4 \cdot 3 \cdot r^2 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 4\:800 = 12 \cdot r^2 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = \dfrac{4\:800}{12} [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r^2 = 400 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf r = \sqrt{400} [/tex]
[tex]\qquad[/tex] [tex]\red{\twoheadrightarrow\bf r = 20\: cm} [/tex]
Henceforth, the radius of the sphere measures [tex] \bf = 20\: cm [/tex].
evaluate the expression for the given value of x.
4x+9 for x =9
45
since x=9 plug in 9 into the equation to get
4(9)+9
multiply 4(9) to get
36
Then add 9
which then equals 45
Answer:
answer is 45
Step-by-step explanation:
4×9=36
36+9=45
There are 5 counselors for every 75 students enrolled in a camp. What is
the maximum number of students allowed if there are 12 counselors?
I'm not sure if this s corrct. Can you guys check it for me?
Answer:
YUP!
Step-by-step explanation:
Let's take the 60 degrees angle first. 180-60=120
3x+x=4x
120/4=30
So you were right!
:))
Give the coordinates of the point P without using any new variable.
Answer:
Step-by-step explanation:
C because it is given that from 0 to (a,0) only need steps and similarly with b only need b amount of steps to reach (0, b). Therefore to reach point P, you just need (a, b).
Which equation best represents the line?
Answer:
the fourth one.. y = 3/4x + 4
write an equation
(X-P) (x-q)=0
Answer:
[tex]x^{2} -pqx+pq[/tex]
Step-by-step explanation:
The distance of AB = [?]
Round to the nearest tenth.
No links and actual help plz!
Answer:
AB ≈ 5.7
Step-by-step explanation:
Calculate AB using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 2, - 2 ) and (x₂, y₂ ) = (2, 2 )
AB = [tex]\sqrt{(2-(-2))^2+(2-(-2))^2}[/tex]
= [tex]\sqrt{(2+2)^2+(2+2)^2}[/tex]
= [tex]\sqrt{4^2+4^2}[/tex]
= [tex]\sqrt{16+16}[/tex]
= [tex]\sqrt{32}[/tex]
≈ 5.7 ( to the nearest tenth )
Rich borrowed $5000 at a 7% interest rate for 6 years. What was the total interest? Enter your answer in the box. Hint: Use the formula I= P*R*T where I= Interest Earned/Owed P= Principal R= Rate T= Time
Answer:
$700.000 is the interest
Step-by-step explanation:
hope the answer helps
Simple interest is the interest calculated on the principal at a given rate for a time period.
The simple interest is given as,
SI = (Px R x T) / 100
The total interest is $2100.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
The simple interest is given as,
SI = (Px R x T) / 100
We have,
P = $5000
R = 7%
T = 6 years
SI = P x R x T / 100
SI = 5000 x 7 x 6 / 100
SI = 50 x 7 x 6
SI = 50 x 42
SI = $2100
Thus,
The total interest is $2100.
Learn more about simple interests here:
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will mark brainleist
Answer:
Figure a) 2
figure b) 4
figure c) 5
Step-by-step explanation:
−6x≥17 Give your answer as an improper fraction in its simplest form.
HELPPPPPP QUICK
Answer:
[tex]x \leqslant \frac{ - 17}{6} [/tex]
Tyrone received the same score on each hand in a card game. His score on each hand was −18. He played 6 hands.
What was Tyrone's final score?
Enter your answer in the box.
points
-108 points
How?
Because -18×6=-108
------(Showed you some proof from above)
What is the probability that a student took AP Chemistry, given they did not get into their first-choice college? Enter
your answer as a decimal to the ten thousandths place.
Using conditional probability, it is found that there is a 0.2273 = 22.73% probability that a student took AP Chemistry, given they did not get into their first-choice college.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Did not get into their first-choice college.Event B: Took AP chemistry.According to the chain given, the percentages associated with not getting into their first-choice college are:
0.1375(chemistry).0.1575(physics).0.24(Env Sci).0.07(Biology).Hence:
[tex]P(A) = 0.1375 + 0.1575 + 0.24 + 0.07 = 0.605[/tex]
The probability of both not getting into their first-choice college and taking chemistry is 0.1375, hence [tex]P(A \cap B) = 0.1375[/tex]
Then, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1375}{0.605} = 0.2273[/tex]
0.2273 = 22.73% probability that a student took AP Chemistry, given they did not get into their first-choice college.
To learn more about conditional probability, you can take a look at https://brainly.com/question/14398287
Answer: 0.2273
Step-by-step explanation: because it says so <3
I seriously don’t understand please help
Answer:
Me two I'm dum lol I think it 2× 9=18 in to 0 go 0 times
the two triangles below are similar.
Answer:
Step-by-step explanation:
yes they are just a rotated triangle
write y+9=-3x-9 in slope intercept form
Answer:
y = -3x - 18
Step-by-step explanation:
Subtract 9 from each side
help with this pleased
Answer:
Kite A ascends to a height of 36 feet
Step-by-step explanation:
21 + 15 = 36
Answer:
Kite A is now at 36 feet.
Step-by-step explanation:
Ascend means go up, so adding 15 to 21 gives you your answer.
PLEASE HELP QUICKLY Determine the equivalent system for the given system of equations: 5x + 3y = 1 4x − 5y = 4
Answer:
x = 32/67 y = 36/67
Step-by-step explanation:
5x+3y = 4 ------1
14x-5y = 4 -------2
1×5 ; 25x+15y = 20 --------3
2×3 ; 42x-15y = 12 -------4
3+4 ; 67x = 32
x = 32/67
5×(32/67)+3y = 4
y = 36/37
Answer:
2x + 3y = 7
9x − 2y = 4
Step-by-step explanation:
i did the quiz on flvs
Determine whether the following sequence is arithmetic,
geometric, or neither.
1. 4, 1, 2
2. 4, 20, 100
3.212 106,53
=================================================
Explanation:
The sequence {4,1,2} is neither because both arithmetic sequences and geometric sequence are either always increasing or always decreasing. We start off decreasing when going from 4 to 1, but increase to 2.
----------
The sequence {4,20,100} is geometric because we multiply each term by 5 to get the next term. That means the common ratio is 5. Notice how this sequence is increasing.
---------
The sequence {212,106,53} is also geometric. This time the common ratio is 1/2 = 0.5; this sequence is decreasing.
The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers.
x + (x + 1) + (x + 2) = 42
x + (x + 2) + (x + 4) = 42
Please help please please
Answer:
39
Step-by-step explanation:
284-5(7)²
284-(5×49)
284-245
39
Answer:
The Answer Is 70
Step-by-step explanation:
So first you have do the parentheses, (2+5) = 7
Then do the exponents [tex]7^{2}[/tex] 7.7 = 49
Next do the Multiplying 49.5= 214
Finally Subtract 284-214=70
I Hope This Helps You :)
Solve
x ^ 4 -8x ^ 2 – 9 = 0
Answer: 0 is the answer
Step-by-step explanation: your welcome its 0