\(7^{x} , 125^{5x-3} = 25^{-5x+2}\)
Answers
Related Questions
Which equation is represented by the graph?
A:
y= (£-1)+3
B:
4=(¢- 32+1
C:
9=-¢+32_1
D:
4=-¢- 32+1
Answers
Answer:
C: y = -(x +3)² -1
Step-by-step explanation:
You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.
Vertex formFor vertex (h, k), the vertex form equation of a parabola is ...
y = a(x -h)² +k
Given that (h, k) = (-3, -1), the equation will have the form ...
y = a(x -(-3))² + (-1)
y = a(x +3)² -1 . . . . . . . . . . matches choice C
The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.
y = -(x +3)² -1
__
Additional comment
Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.
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The number 5 x 108 is how many times as much as 1 x 102?
Write the answer in standard form in the box.
Answers
Answer:
90/17Step-by-step explanation:
Given two numbers:
5×108 and 1×102To compare, we need to divide the first one by 1×102
5×108/1×102 = 540/102 =90×6/17×6 =90/17 times28% of 2.97 to the nearest hundredth
Answers
Answer:
83.16%
Step-by-step explanation:
Convert 28% into a decimal 0.28 Then multiply 0.28 by 2.97
Two boxes have the same volume. One box has a base that is 5cm by 5 The other box has a base that is 10cm by 10cm
How many times as tall is the box with the smaller base?
Answers
Answer:2
Step-by-step explanation:
Jane needs to memorize words on a vocabulary list for German class. She has memorized 8 of the words, which is one-fourth of the list. How many words
are on the list?
Answers
Answer:
x = 32 words
Step-by-step explanation:
Okay...let's get solving! :D Firstly, we
let the word list be x and convert the long paragraph into an equation that we can use.
one-fourth = 1/4
Memroized = 8 words
\(x * \frac{1}{4} = 8\)
Thus, we solve the equation.
x = 32 words
Weber Interstate Paving Co. had $450 million of sales and $225 million of fixed assets last year, so its FA/Sales ratio was 50%. However, its fixed assets were used at only 45% of capacity. If the company had been able to sell off enough of its fixed assets at book value so that it was operating at full capacity, with sales held constant at $450 million, how much cash (in millions) would it have generated?
Answers
The amount of cash generated is 78.75 Million.
What is a sales ratio?Price-sales ratio, often known as the P/S ratio or PSR, is a stock valuation indicator. It is computed by dividing the market capitalization of the company by its most recent fiscal year's revenue, or, equivalently, by dividing the share price of the stock by its revenue per share.
The sales ratio will be calculated as below:-
Sales= $450 Million
Fixed Assets= $225 Million
% of capacity utilized. . 65%
Sales at full capacity = actual sales/%of capacity used = 692.31 millions dollars .
Target FA = Full capacity FA/sales = FA/Capacity sales = 32.50%
(225*65% = 146.25, 146.25/450 = 32.50%)
Optimal FA = sales * targeted FA/Sales Ratio = 450*32.50% = 146.25
Cash Generated = Actual FA-optimal FA = 225-146.25 = 78.75 millions dollars
Therefore, the amount of cash generated is 78.75 Million.
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HELP ASAP!!!!!
Point P is shown on the number line below. The distance between point Q and point P is 6 ½ units.
P
-12-10-8-6-4-2 0 2 4 6 8 10 12
a. Which number could represent point Q?
b. Explain how you determined your answer.
Answers
a: The number which could represent point Q are +2.5 or -10.5.
b. For determining the point Q add and subtract 6.5 units from point P.
What is meant by the term number line?A number line is a graphical portrayal of numbers on such a straight line in mathematics. A number line has numbers that are sequentially placed at equal distances across its length. It can be extended in any direction indefinitely and is generally denoted horizontally.A number line's numbers increase when moving from left to right as well as decrease when moving from right to left.A number line can represent any type of number, including fractions, decimals, integers, and so on.For the given question;
The distance between point Q and point P is 6 ½ units.
The location of point P is (-4) (seen from the number line).
a. The number could represent point Q are either +2.5 or -10.5.
b. Determine the number;
Add 6 ½ units = 6.5 units to (-4)
= -4 + 6.5
= + 2.5
Thus, point Q = + 2.5
Now, subtract 6 ½ units = 6.5 units to (-4).
= -4 - 6.5
= -10.5
Thus, point Q = + 2.5.-10.5.
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Order cube root of eighty-eight, twenty-eight ninths, square root of nineteen from greatest to least.
cube root of eighty-eight, twenty-eight ninths, square root of nineteen
twenty-eight ninths, square root of nineteen, cube root of eighty-eight
twenty-eight ninths, cube root of eighty-eight, square root of nineteen
cube root of eighty-eight, square root of nineteen, twenty-eight ninths
Answers
Answer:
(a) twenty-eight ninths, square root of nineteen, cube root of eighty-eight
Step-by-step explanation:
When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.
OrderThe attachment shows the ordering, least to greatest, to be ...
\(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)
__
Additional comment
We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.
One way to do the comparison is to convert these to values that need to have the same root:
√19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)
∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)
The roots will have the same ordering as 19³ and 88².
Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...
19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859
88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744
Then the ordering is ...
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Answer:
the ordering is
28/9 < 19³ < 88² ⇒ 28/9 < √19 < ∛88
Step-by-step explanation:
PLEASE HELP ASAP!!!!!
Answers
Step-by-step explanation:
Area ABC=1/2ab×sin C
=1/2 ×20×10 ×Sin C
Sin C =100
Will mark brainly
and worth a lot of points but actually answer plz
Solve the system of equations and choose the correct answer from the list of options.
d + e = 1
−d + e = −5
Label the ordered pair as (d, e). (4 points)
Question 3 options:
1)
(0, 0)
2)
(3, −2)
3)
(−2, 3)
4)
(−3, 0)
Answers
Answer:
3) is the answer
d + e = 1 x 1
- d + e = -5 x 1
d. + e = 1
-
-d. + e = -5
2d= 6
d = 3
e= 1-3
= -2
The table represents a linear function. What is the slope of the function? x -2, -1, 0, 1, 2 ... y -2, 1, 4, 7, 10
Answers
The function passes through points (-2,-2) and (0,4).
The general formula for the slope of the linear function is,
\(m=\frac{y_2-y_1}{x_2-x_1}\)Determine the slope of linear function.
\(\begin{gathered} m=\frac{4-(-2)}{0-(-2)} \\ =\frac{6}{2} \\ =3 \end{gathered}\)Thus slope of linear function is 3.
I need help plz!!!!!!??!?!
Answers
Answer:
3848.45
Step-by-step explanation:
half 70
35
πr^2
π×35^2
Answer:
22/7×35×2
22/7×70
= 220cm²
f(t) = -(4t) for t = 2
Answers
Answer:
f(2) = -8
Step-by-step explanation:
f(2) = -(4(2))
f(2) = -(8)
f(2) = -8
A local congressman must decide whether or not to vote for a bill to reduce the speed limit.
Supporters of the bill claim that the gas mileage improves at lower speeds! The congressman was given the data about the Toyota Camry gas usage - presented in the table below. (Picture Attached.)
Note: MPG stands for miles per gallon of gas.
IDENTIFY THE INDEPENDENT VARIABLE FIR THIS DATA AND WHY.
Answers
The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.
How to explain the variablesThe dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.
The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.
The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.
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If f(x)=x^2-2x, find: f(5)=?
Answers
Answer:
15
Step-by-step explanation:
Since x was replaced by 5, f(x); f(5), we want to replace all the x's with 5's:
f(x) = x^2-2x
f(5) = 5^2-2(5)
= 25 - 10
= 15
You just have to replace x and simplify.
The following crosstabulation summarizes the data for two categorical variables, x and y. The variable x can take on values low, medium, or high and the variable y can take on values yes or no.
Y
X Yes No Total
Low 20 10 30
Medium 15 35 50
High 20 5 25
Total 55 50 105
1. Compute the row percentage
2. Construct a sketch percentage of frequency bar chat with x on horozontal axis.
Answers
Answer:
Step-by-step explanation:
From the given data:
The row percentage can be determined by: taking each box in each row and by dividing it with its total on that line, after that we will multiply it by 100 to get the result of it's equivalent percentage.
Table reconstruct the table from the question ; we have:
y
x Yes No Total
Low 20 10 30
Medium 15 35 50
High 20 5 25
Total 55 50 105
For Low; the total on the row is 30 ;
so for Yes: we have 20/30 × 100 = 66.7
for No ; we have 10/30 × 100 = 33.3
For Medium ; the total on the row is 50 ;
so for Yes: we have 15/50 × 100 = 30
for No ; we have 35/50 × 100 = 70
For High ; the total on the row is 25;
so for Yes: we have 20/25 × 100 = 80
for No ; we have 5/25 × 100 = 20
y
x Yes No Total
Low 66.7 33.3 100
Medium 30 70 100
High 80 20 100
b. The construction of a sketch percentage of the frequency bar chat with x on horizontal axis is shown in the attached file below.
The graph shows the charges of an instructor. The
instructor charges an initial fee and then an hourly rate
for private lessons. Determine the instructor's hourly
charge from the graph.
What is the hourly charge?
O $1.00
O $4.00
O $7.00
O $8.00
Answers
Answer:
$8
Step-by-step explanation:
2605.40
Significant digits
Answers
In Fairbanks, Alaska, the average temperature in January is -9.7°F. The
average temperature in July is 62.4°F. On average, how many degrees
colder is Fairbanks in January than in July?
Answers
Answer:
72.1 degrees... 72 point 1 degress in case you cant see the ( . )
Step-by-step explanation:
62.4 minus -9.7= is 72.1
Given that
log 2= X
log 3= y
log 7= z
Express the following expressions in terms of x, y, and z
(1) log (14/3)
(2) log 0.3
(3) log 10.5
Answers
Answer: See below
Step-by-step explanation:
Answer (1)
We must break down the expressions into factors. That is:
\(\begin{align} \log 12&=\log 4\times 3=\log 2^2\times 3\\ \log 12&=\log 2^2+\log 3=2\log 2+\log 3=2x+y\\ \end{align}\)\(\log \frac{14}{3}&=\log 14-\log 3 \\ =\log 2\times 7-\log 3\\ \\\log \frac{14}{3}& =\log 2+\log 7-\log 3 \\ =x+z-y\\\)
Answer (2)
\(\log 0.3 &=\log \frac{3}{10} \\ \\ =\log 3-\log 10 \\=y-1\)
Answer (3)
\(\log 10.5& \\ =\log \frac{21}{2} \\=\log 21-\log 2\\ \\ \log 10.5& \\ =\log 3\times 7-\log 2\\=\log 3+\log 7-\log 2\\=y+z-x\)
Consider the initial value problem:
2tyâ²=8y, y(1)=â2. 2tyâ²=8y, y(1)=â2.
Required:
a. Find the value of the constant C and the exponent r so that y=Ct^r is the solution of this initial value problem.
b. Determine the largest interval of the form a < t < b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution.
c. What is the actual interval of existence for the solution (from part a)?
Answers
Answer:
Following are the solution to the given point:
Step-by-step explanation:
In point a:
\(\to 2ty'=8y\to \frac{1}{y} dy = 4 \frac{1}{t} dt\\\\\to \int \frac{1}{y} dy = 4 \int \frac{1}{t} dt \\\\\to \log y = 4 \log t + \log C\\\\\to \log y = \log ct^4\\\\\to y=ct^4 \\\\\to y(-2)=16 \\\\\to 16= c(-2)^4\\\\\to 16= 16c\\\\\to c= \frac{16}{16}\\\\\to c=1\\\\\to r=4\)
In point b:
\(\to 2ty' = 8y \\\\\to y'- \frac{4}{t} y=0 \\\\here \ p(t) = \frac{1}{t}\) it's a discontinuous point at t=0, and the largest internal containing -2 since \(y=(-2) = 16 \ is\ (-\infty, 0)\)
In point c:
\((-\infty,0 ) \cup (0, \infty)\)
1. Find the quotient of the averages prices of gold in 2010 and 1970. What
does the quotient mean?
Answers
Answer:
35.224137931
Step-by-step explanation:
2010: 1266.66
1970: 35.96
1266.66/35.96=35.224137931
Without the actual data for the average prices of gold in 2010 and 1970, I cannot provide the exact quotient. However, if we assume that we have the data, we can calculate the quotient by dividing the average price of gold in 2010 by the average price of gold in 1970. The resulting quotient would indicate how many times more expensive gold was in 2010 compared to 1970.
For example, if the average price of gold in 2010 was $1,500 per ounce and the average price in 1970 was $35 per ounce, then the quotient would be:
$1,500 / $35 = 42.86
This means that the average price of gold in 2010 was 42.86 times more expensive than the average price in 1970.
It is important to note that the actual quotient will depend on the actual data for the average prices of gold in 2010 and 1970.
2 Given (y>5x-1, which of the following describes the boundary line and shading for the first inequality in the system?lys-x
Answers
Answer:
Dashed line. Shaded above.
Explanation:
The first inequality is
y > 5x -1
which says that all values of y greater than (and not including) 5x -1 are the solutions. The phrase "not including" is represented by > and on a graph by a dashed line. The phrase "Greater than" means we will shade the region above the line.
Therefore, for the first inequality
Dashed line. Shaded above.
is the correct answer.
x+ 3(x+2) = 2 x = Answer
Answers
Step by step shown below:
What’s the answer to If =3+23
, what is
when =1
and =2
?
Answers
The value of y when a = 1 and b = 2 is 22.
How to solve an equation?The equation of can be solved as follows: We will substitute the value of a and b in the equation to find the value of y.
Therefore,
y = 3ab + 2b³
Let's find y when a = 1 and b = 2
Hence,
y = 3(1)(2) + 2(2)³
y = 6 + 2(8)
y = 22
Therefore,
y = 22
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Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
Answers
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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What is Evaluate to 2-4
Answers
Answer: -2
Step-by-step explanation:
2 - 4 = -2
Billy is making a curtain for his kitchen window. He bought 2 1/2
yards of fabric. His total cost was $15. What was the cost per yard?
Answers
The fabric has a cost per yard of $6 per yard
How to determine the cost per yard of the fabric?From the question, the given parameters are:
Yards of fabric = 2 1/2 yards
Cost of the fabric = $15
The cost per yard of the fabric is then calculated as
Cost per yard = Cost of the fabric/Yards of fabric
Substitute the known values in the above equation
So, we have
Cost per yard = 15/(2 1/2)
Evaluate the quotient
So, we have
Cost per yard = 6
Hence, the cost per yard is $6 per yard
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Allen was making trail mix, but he only wanted to make of the recipe. If the whole recipe called for of a cup of peanuts, how many cups will he need to make of the recipe? Choose the model that matches the situation.
Answers
It can be inferred that the amount of nuts that Allen requires depends on the amount of the recipe that he wants to make.
How many cups of nuts does Allen require to make the recipe?According to the information provided, one serving of the recipe calls for one cup of nuts. According to this, it can be inferred that to make a smaller or larger portion of the recipe, this amount must be divided or multiplied.
For example, if Allen calls for making two servings of the recipe, he would use two cups of nuts, while if he calls for making a half serving, he would use half a cup of nuts.
Note: The question is missing because there is some missing information. However I can answer it based on my general prior knowledge.
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Answer:
1/6
Step-by-step explanation:
s a right triangle. If RQ = 8, what is PQ
Answers
Answer:
PQ = 4
Step-by-step explanation:
\(tan(30)=\frac{RQ}{8}\\RQ=8tan(30)\\RQ=\frac{8}{3}\\RQ=\frac{8}{3}/3\\HYPOTENUSE=8\\PQ = 4\\\)