Answers
9514 1404 393
Answer:
y = 1
Step-by-step explanation:
Recognize that 25 and 125 are powers of 5 and rewrite the equation in terms of powers of 5.
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)/(a^c) = a^(b-c)
(a^b)(a^c) = a^(b+c)
__
Your equation can be written as ...
[tex]25^4\div5^{5y}=125^y\\\\(5^2)^4\div5^{5y}=(5^3)^y\\\\5^{8-5y}=5^{3y}\\\\8-5y=3y\qquad\text{equate exponents of the same base}[/tex]
Now this can be solved as an ordinary linear equation.
8 = 8y . . . . . . add 5y to both sides
1 = y . . . . . . . divide by 8
The solution is y = 1.
Related Questions
what is the answer to B use surds!! ⚠️
Answers
Answer:
look below
Step-by-step explanation:
a.) √5
b.)√2/2
Answer:
[tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{\sqrt{3} }{\sqrt{6} }[/tex]
To rationalise the denominator, multiply numerator/ denominator by [tex]\sqrt{6}[/tex]
= [tex]\frac{\sqrt{3} }{\sqrt{6} }[/tex] × [tex]\frac{\sqrt{6} }{\sqrt{6} }[/tex]
= [tex]\frac{\sqrt{18} }{6}[/tex]
= [tex]\frac{3\sqrt{2} }{6}[/tex]
= [tex]\frac{\sqrt{2} }{2}[/tex]
Given that f(x) = x? 10x + 16 and g(x) = x – 8, find f(x) · g(x) and
express the result in standard form.
Answers
Answer:
=x^3+2x^2-72x-64
Step-by-step explanation:
(x^2+10x+8)*(x-8)=
=x^3+2x^2-72x-64
Standard form of given expression is x³ + 2x² - 64x - 128
Given:
f(x) = x² + 10x + 16
g(x) = x – 8
Find:
f(x) · g(x)
Computation:
f(x) · g(x)
(x² + 10x + 16)(x – 8)
(x²)(x) + (10x)(x) + (16)(x) + (x²)(-8) + (10x)(-8) + (16)(-8)
x³ + 10x² + 16x - 8x² - 80x - 128
x³ + 2x² - 64x - 128
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You are working in a coffee shop that specializes in mixing rare beans to provide customers with the perfect cup of coffee. To make the signature blend, you need to fill the coffee machine with 1 3/4 cups of bean A and 3 1/2 cups of Bean B. How many cups of coffee beans are required for the signature blend?
Answers
5 1 /4 cups of coffee beans are required for the signature blend.
Given that,
To make the signature blend, you need to fill the coffee machine with 1 3/4 cups of bean A and 3 1/2 cups of Bean B.
To determine the number of cups of coffee beans required for the signature blend.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
cups of signature blend = cup Bean A + cup Bean B
= 1 3 / 4 + 3 1 / 2
= 7 / 4 + 7 / 2
= [7 * 1 + 7 * 2] / 4
= 21 / 4
= 5.25 or 5 1 /4
Thus, 5 1 /4 cups of coffee beans are required for the signature blend.
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Find the length of AD
Answers
5/x = 10/12
10x = 5•12
10x = 60
x = 60/10
x = 6
Given f(x) = 2x 2 +4x -3, find f(2a+3)
Answers
Answer:
f(2a + 3) = 8a² + 20a + 27
Step-by-step explanation:
f(x) = 2x² + 4x - 3
f(2a + 3) = 2(2a + 3)² + 4(2a + 3) - 3
f(2a + 3) = 8a² + 12a + 18 + 8a + 12 - 3
f(2a + 3) = 8a² + 20a + 27
The value of f(2a+3) for the given function f(x) = 2x² + 4x - 3 will be 8a² + 20a + 27.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given the function f(x) = 2x² + 4x - 3
⇒ f(2a + 3) = 2(2a + 3)² + 4(2a + 3) - 3
⇒ f(2a + 3) = 2(4a² + 9 + 6a) + 8a + 12 - 3
⇒ f(2a + 3) = 8a² + 18 + 12a + 8a + 12 - 3
⇒ f(2a + 3) = 8a² + 20a + 27.
Hence "The value of f(2a+3) for the given function f(x) = 2x² + 4x - 3 will be 8a² + 20a + 27".
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is (10,-2) a solution of the system? yes or no
Answers
Answer: A. Yes
Step-by-step explanation: It is a solution to the system.
Answer:
No
Step-by-step explanation:
Elvira, the cafeteria manager, has just received a shipment of new trays with the school logo prominently displayed in the middle of the tray. After unloading 4 cartons of trays in the pizza line, she realizes that students are arriving for lunch and she will have to wait until lunch is over before unloading the remaining cartons. The new trays are very popular and in just a couple of minutes 24 students have passed through the pizza line and are showing off the school logo on the trays. At this time, Elvira decides to divide the remaining trays in the pizza line into 3 equal groups so she can also place some in the salad line and the sandwich line, hoping to attract students to the other lines. After doing so, she realizes that each of the three serving lines has only 12 of the new trays. "That's not many trays for each line. I wonder how many trays there were in each of the cartons I unloaded?"
Help the cafeteria manager answer her question using the data in the story about each of the actions she took. Explain how you arrive at your solution.
Answers
Answer:
im willing to bet that there is 3 in each carton
(just a guess for the points also theres no multiple choice?)
The quantity of trays that were in each of the cartons the manager unloaded was 12 trays.
How many trays there were in each of the cartons I unloaded?To determine the quantity of trays in each carton, we need to analyze the given information step by step:
We know that 24 students have passed through the pizza line and received trays with the school logo.The remaining trays were divided into three equal groups for the salad line, sandwich line, and pizza line.Each serving line ended up with only 12 new trays.From these points, we can deduce the following:
Since 24 students passed through the pizza line, and each student received one tray, this means that 24 trays were taken from the initial shipment.After 24 trays were taken, an equal number of trays were distributed to the salad line, sandwich line, and the remaining trays were kept in the pizza line.Each serving line ended up with 12 new trays. Since the trays were divided equally among the three lines, each line received the same number of trays.Now, let's solve for the number of trays in each carton.
Let's assume that the number of trays in each carton is "x."
We know that 24 trays were taken initially, and each serving line ended up with 12 trays. So, we can set up the equation:
24 + 12 + 12 + 12 = 4x
48 = 4x
Dividing both sides of the equation by 4:
12 = x
Therefore, there were 12 trays in each of the cartons that were unloaded.
To summarize, each carton that Elvira unloaded contained 12 trays.
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Determine if the following relation is a function, and explain why.
41
3+
2
1
AT
-32
1
0
1
-1
2 3
-2
-31
Answers
Answer:
I have no idea butter needed points im sorryyy
5. Guests are given a random goodie bag at a party. There are less than 15 bags, but more than 8. Part A: How many bags were prepared? Explain your answer. * Goodie bag contents ½ of the bags contain money ⅙ of the bags contain candy ⅓ of the bags contain a toy
Answers
Answer:
12 bagsStep-by-step explanation:
Number of the bags = between 8 and 15 and
1/2 of bags contain money 1/6 of bags contain candy 1/3 of bags contain a toyAs per above the number is divisible by 2, 3 and 6. LCM of the three numbers is 6.
The number between 8 and 15 and divisible by 6:
This number is 6*2 = 12So the number of bags is 12
Ally sold 18 boxes of girl scout cookies. This was 20% of the number that Kendra sold. How many boxes did Kendra sell?
Answers
90
boxes of girl scout cookies.
Explanation:
Let
x
be the number of boxes Kayla sold.
x
⇒
100
%
18
⇒
20
%
Find
x
,
x
=
100
%
20
%
×
18
x
=
90
4. In how many ways can a committee of three men and
four women be formed from a group of 12 men and 12
women?
A) 165
B) 6,652,800
C) 15,681,600
D) 108,900
Answers
Answer: D 108,900
Step-by-step explanation:
Determine whether the following statement is true, if not, provide a counterexample.
The product of two integers is always greater than either integer.
Answers
can you please help me with this problem 2x + y = -9
Answers
Answer:
x = -9/2 - 1/2y
Step-by-step explanation:
2x + y = -9
2x = -9 - y
x = -9/2 - 1/2y
Given the two relations, which one is a function and why is the other one not a function
Answers
Answer:
The other one (number2) is not a function, because if you plot those points in a graph and use the line rule it shows that more than one point is aligned in that line.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The first one is a function, and the second one is not a function.
Because in a function, each input only match ONE output.
Using a Proportion based on similarity,find the length of DE. PLEASE HELP OMG
Answers
Answer:
DE is 15
Step-by-step explanation:
22.5 divided by 13.5 = 1.66666 repeating
9 times 1.6666 repeating is 15
I have 1373/1000 Points, and 10/10 brainiest. Why am I not leveling up to Expert?
Answers
Answer:
some thing is broken man
Step-by-step explanation:
Pls help me out I give u a cookie
Answers
Answer:
C. Division property of equality
Step-by-step explanation:
Both sides of the equal sign are divided by 10, which clearly means that the division property should be applied here.
Answer:
divison property of equality is the reason
hope it helps you
Every day, Savannah's burrito stand uses 3 bags of tortillas. How many days will 3/4 of a bag of tortillas last?
Answers
Answer:
Step-by-step explanation:
Set up a ratio.
3 bags/1 day = 2/3 bag/x day
Cross multiply to solve.
3x=2/3
So x=2/3(1/3)=2/9 of a day
please complete it (picture)
Answers
Answer:
Look at step-by-step
Step-by-step explanation:
I hope this is right. Good luck!
1)
Area: 250
Perimeter: 120
2)
Area: 2530
Perimeter: 270
What would be the second step in solving the equation y−16=3y?
Divide both sides by 4
Divide both sides by 2
Divide both steps by -2
Divide both steps by -4
Answers
Answer:
Divide both sides by 4
Step-by-step explanation:
Please give brainliest
Answer:
divide both sides by 2
Step-by-step explanation:
becoz first step is move the numbers
pliz give a brainliest
29% of 100 tiles is how many tiles
Answers
Answer:
29
Step-by-step explanation:
ez
Answer:
29
Step-by-step explanation:
29% of 100
= 29/100 *100
= 29
6.4 ÷ 0.043
Round your answer to the nearest whole number.
Answers
Answer:
149
Step-by-step explanation:
6.4 ÷ 0.043
= 148.837209302
= 149 (rounded to the nearest whole number)
Hope this helped!
Answer:
6.4 ÷ 0.043=148.83...so the nearest whole number it is 149
Step-by-step explanation:
since 5-9 are rounded up
distribute -x(7x+3).
Answers
Answer:
-7x^2-3x
Step-by-step explanation:
-x * 7x + (-x) * 3
-7xx-3x
-7x^2-3x
(7x-3) = 5
Algebra 2, solve
Answers
Answer:
8 or 8/7
Step-by-step explanation:
What is the final amount if 1015 is decreased by 6% followed by a 19% increase?
Give your answer rounded to 2 DP. PLSE help
Answers
Answer:
1,123.30
Step-by-step explanation:
first of all, you are decreasing 1015 by 6 percent so it will be
1015 * 0.93 because you are decreasing it from the percentage
then, you are increasing it by 19 percent so you mulitply what you got on the previous calculation and multiply it by 1.19
943.95 * 1.19
and answer will be 1,123.30
find the highest common factor of 12 16 and 20
Answers
answer
your answer is 4
Answer: 4
12 16 and 20 are all divisible by 4
select the construction taht guarantees A is a reflection of point A across line BC
Answers
is there a picture or anything?
What is the slope of the line that passes through the points (5,-11) and (-9,17)?
Answers
Answer:
-2
Step-by-step explanation:
m=y2-y1
x2-x1
Answer:
-2=slope
Step-by-step explanation:
17--11=28
-9-5= -14
28/-14= -2
I dont get this can you help me?
Answers
Answer:
C
Step-by-step explanation:
Which equation represents the same proportional relationship as the graph?
ТУ
13
12
11
10
9
8
7
6
5
4
3
2
1
1 2 3 4 5 6 7 8 9 10 11 12 13 X
Answers
Answer:
On a coordinate plane, a line goes through points (0, 0), (5, 3), (10 ...
Step-by-step explanation:
On a coordinate plane, a line goes through points (0, 0), (5, 3), (10, 6) is
y = 3/5x
and, x y = 3/5
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Here the given three points are (0, 0), (5, 3), (10, 6).
So, equation of the line passing through the points (0, 0), (5, 3) is
y- 0/ (x-0)= (3-0)/(5-0)
y/ x = 3/5
y= 3/5x
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