Answers
The equivalent expressions are 7(2)^3x = 7(8)^x, 7(1/2)^x = 7(2)^-x, 7(4)^(3x + 1) = 7(2)^(6x + 2), 14(2)^x = 7(2)^(x + 1) and 14(2)^x = 14(4)^(x/2)
How to match the equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
The expressions on the left and those on the right
To do this, we solve the expressions on the left and look for a match
Using the above as a guide, we have the following:
(a) 7(2)^3x
Evaluate the exponent
7(2)^3x = 7(8)^x
(b) 7(1/2)^x
Apply the law of indices
7(1/2)^x = 7(2^-1)^x
So, we have
7(1/2)^x = 7(2)^-x
(c) 7(4)^(3x + 1)
Apply the law of indices
7(4)^(3x + 1) = 7(2^2)^(3x + 1)
So, we have
7(4)^(3x + 1) = 7(2)^(6x + 2)
(d) 14(2)^x and (e) 14(2)^x
Without solving them, we have
14(2)^x = 7(2)^(x + 1)
14(2)^x = 14(4)^(x/2)
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Related Questions
7) The cost, C, in dollars for advertising on a social networking website is proportional to the number n
of clicks on the advertisement. Suppose a business is charged $108.50 for 310 clicks on its
advertisements. What is the slope of the line that represents the relationship between cost and clicks?
Answers
The slope of this line is 0.35, which represents the amount that the cost increases for each additional click.
What is equation of straight line ?
Equation of straight line can be as follows, y = mx +b
where m is a slope of line.
Given,
To find , The cost, C, in dollars for advertising on a social networking website is proportional to the number n] of clicks on the advertisement.
When a business is charged $108.50 for 310 clicks on its advertisements.
The cost, C, and number of clicks, n, are related by the equation
C = k * n, where k is the constant of proportionality.
From the given information, we know that C = $108.50 when n = 310. We can use this information to find the value of k:
$108.50 = k * 310
Solving for k:
k = $108.50 / 310
k = $0.35
So, the equation for the relationship between cost and clicks is:
C = $0.35 * n
Therefore, The slope of this line is 0.35, which represents the amount that the cost increases for each additional click.
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A bus leaves the station every 12 minutes
A train leaves the station every 18 minutes
At 8am a bus and a train leave their stations at the same time.
a) when is the next time that a bus and a train leave at the same time?
b) Between 8am and 11am, on how many occasions does a bus and a train leave at the same time?
thank you so much for the help
Answers
Answer:
a) 8:32 am
b) 5 occasions
HELPP PLSSS
Factor the polynomial.
x²+2x² +14x+7x²
Answers
Answer:
2x(5x+7)
Step-by-step explanation:
[tex]x^2+2x^2+14x+7x^2\\=10x^2+14x\\=2x(5x+7)[/tex]
Jamarie and DJ go bowling. Jamarie knocks a total of 26 pins. DJ knocks down three times as
many. How many did they knock down together?
Show your work
Answers
In total they knocked down 104 pins.
I got this by multiplying 26 by 3, which equals 78, then adding 26 to 78 to get the final answer, 104.
Hope this helps!
Which graph represents the scenario of a woman who climbs a hill at a steady pace and then starts to run down the side?
Graph II
Graph III
Graph I
Graph IV
Answers
What is the area of this polygon?
Enter your answer in the box.
units?
Answers
Check the picture below.
so the polygon is really just a 5x7 rectangle with a triangle that has a base of 7 units(vertically) and a height of 2 units.
[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{rectangle}{(5)(7)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(7)(2)}}\implies 35~~ + ~~7\implies \text{\LARGE 42}~units^2[/tex]
Factor 26r³s
O 13(2r³s + 475-37²54)
037²s(27+ 47³-38³)
O 13r²(2rs + 4r3 – 384)
O 13r²(26r³s + 527-5-39²4)
+5275-39724. What is the resulting expression?
Answers
The factor of the algebraic expression is 13r²(2rs + 4r³ - 3s⁴).
option C is the correct answer
What is the factor of the algebraic expression?
The factor of the algebraic expression given as
26r³s + 52r^(5) - 39r²s⁴
can be determined by finding the highest common factor and factorize it out.
The highest common factor of the letters is r²
Factors of 26 = 1, 2, 13, 26
Factors of 39 = 1, 3, 13, 39
Factors of 52 = 1, 2, 4, 13, 26, 52
The highest common factor for the 3 numbers is 13.
Thus, in total, the highest common factor for the algebraic expression is 13r².
Finally, we have;
13r²(2rs + 4r³ - 3s⁴)
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The complete question is below:
Factor 26r³s + 52r^(5) - 39r²s⁴
A. 13(2r³s + 475-37²s⁴)
B. 37²s(27+ 47³-38³)
C. 13r²(2rs + 4r³ – 3s⁴)
D. 13r²(26r³s + 527-5-39²4)
Solve For n !
[tex] \large \frak{2n + 5 = 6( {n}^{2} - 5) }[/tex]
Thank You!:)
Answers
The solution to the equation 2n + 5 = 6( n² - 5 ) is n = ( 1 - √(211 )) / 6 and n = ( 1 + √(211 )) / 6
What is the solution to the quadratic equation?Given the quadratic equation in the question;
2n + 5 = 6( n² - 5 )
First we simplify the given equation;
2n + 5 = 6( n² - 5 )
2n + 5 = 6n² - 30
6n² - 2n - 5 - 30 = 0
6n² - 2n - 35 = 0
To solve for n, we use the quadratic formula.
n = (-b±√(b² - 4ac)) / (2a)
Compare 6n² - 2n - 35 = 0 to the quadratic equation in its standard form an² + bn + c = 0.
a = 6b = -2c = -35Plug the values into the quadratic formula
n = (-b±√(b² - 4ac)) / (2a)
n = ( -(-2) ±√( (-2)² - 4 × 6 × -35 )) / (2 × 6 ))
n = ( 2 ±√( 4 + 840 )) / ( 12 )
n = ( 2 ±√( 844 )) / ( 12 )
n = ( 2 ±2√(211 )) / ( 12 )
n = ( 1 ± √(211 )) / 6
n = ( 1 - √(211 )) / 6 or n = ( 1 + √(211 )) / 6
Therefore, the values of n are ( 1 - √(211 )) / 6 and ( 1 + √(211 )) / 6.
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A researcher studied the relationship between the number of times a certain species of cricket will chirp in one minute and the temperature outside. Her data is expressed in the scatter plot and line of best fit below. Based on the line of best fit, what temperature would it most likely be outside if this same species of cricket were measured to chirp 120 times in one minute?
Answers
What is x and y equal to?
-10x + 4y = -14
7x + 5y = 2
Answers
Answer: x =1, y = -1
Step-by-step explanation:
-10x+4y=-14
7x+5y=2
Let's eliminate y.
5(-10x+4y= -14)
4(7x + 5y=2)
[ I multiplied the first equation by the coefficient of y in the second equation and did the same in the second equation].
=> -50x+20y =-70
28x+20y = 8
Notice how the coefficients of y are the same. We can subtract the 2 equations to eliminate y.
Thus,
-78x = -78 ( y has been eliminated)
∴ x=-78/-78 =1.
Put the value of x in any equation to find y.
7x + 5y =2
=> 7(1) + 5y =2
7+5y=2
5y = 2-7
5y = -5
y = -1.
Hope this helps :)
Janie has $180 m. She spends 50% of her money on a new pair of ice skates. How much does she spend on ice skates?
Answers
Answer:
$90
Step-by-step explanation:
180 - 50% or 180 x .50 = $90
Question 2: Express each of the following numbers using exponential rotation
a. 343 b. 3145
Answers
b. 3.145x10^3
Explain how a formula can help solve problems.
Answers
Answer:
A formula can help solve problems as it gives the person a step-by-step mini key or guide when needing to actually answer a mathematical or scientific equation or question.
if alpha and beta are the roots of the equation 6x2+x-2 find sum of the product, roots of the product
Answers
Answer:
-1/3
Step-by-step explanation:
Yhe equation 6x^2 + x - 2 has two roots, alpha and beta, that can be found by using the quadratic formula or by factoring.
The sum of the roots (alpha and beta) can be found by using the formula:
-b/a
where a = 6, b = 1 and c = -2
-1/6
The product of the roots (alpha and beta) can be found by using the formula:
c/a
where a = 6, b = 1 and c = -2
-2/6 = -1/3
So, the sum of the roots is -1/6 and the product of the roots is -1/3.
Use Evcel fo find the probabinty that in 112 trials with probabinty0.42of success that there are 30 or fewer suce ses. Round to 6 decimaiplaces Type your answer hern
Answers
The probability that there are 30 or fewer successes in 112 trials with a probability of 0.42 of success is 0.874763 rounding to 6 decimaiplaces.
To use the Excel spreadsheet programme to calculate the likelihood that 30 or fewer successes occur in 112 trials with a success probability of 0.42, follow these steps:
In Excel, create a new spreadsheet with the first column labelled "Number of Successes" and the second column labelled "Probability."
Enter "0" in the first row of the "Number of Successes" column.
Enter "1" in the second row of the "Number of Successes" column.
Continue to input numbers in the "Number of Successes" column in ascending order until you reach 30.
Enter the following formula in the field next to the "0" in the "Probability" column: =BINOM.DIST (0,112,0.42,TRUE)
Enter the following formula: =SUM (B1:B31)
The result in the cell where you input the formula in step 8 will be the chance of 30 or fewer successes in 112 trials with a success rate of 0.42.
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Wendell purchased a hot dog and 3 orders of french fries for $6.00. If the hot dog cost $2.25, what was the cost of each order of french fries?
Answers
The cost of each order of french Fries is $1.75.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Wendell purchased a hot dog and 3 orders of French fries for $6.00.
If the hot dog cost $2.25.
Then the cost of Hot dog
= 6 - 2.25
= 3.75
and, the cost of each order of French Fries
= 3.75 / 3
= $1.25
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A computer and printer cost a total of $954. The cost of the computer is two times the cost of the printer. Find the cost of each item.
Answers
Question 5(Multiple Choice Worth 2 points) (Linear Functions MC) Which of the following tables represents a linear function? x −2 −1 0 1 2 y 4 1 −2 −5 −8 x −2 −1 0 1 2 y 4 1 0 1 4 x 2 2 0 2 2 y −2 −1 0 1 2 x 0 1 2 3 4 y −2 1 0 1 −2
50 POINTS HURRY UP!!!!
Answers
Answer:
The table that represents a linear function is:
x 0 1 2 3 4
y −2 1 0 1 −2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Step-by-step explanation: The linear function is a function that has a straight line when plotted on a
graph.
The correct option;
The table of ordered pairs that represent a linear function is the option; x/y -8/-7 0/0 8/7 16/14
Reasons why the above selection is correct:
Given;
The given data can be presented as follows;
x/y -8/22 0/1 8/22 16/102
x/y -8/-7 0/1 8/9 8/2
x/y -8/-7 0/0 8/7 16/14
x/y -8/-7 0/1 8/5 16/4
Representation of the options in tabular form;
In a tabular format, we have;
Characteristic of linear function;
In a linear function, when the x-values have a constant rate of increase the
the first difference in the y-values is constant.
Selection of the table representing a linear function;
The option that has a constant first difference along with a continuous rate of
increase in the x-value is the option with the following table;
, which is the option x/y -8/-7 0/0 8/7 16/14
If the diameter of the pie is ten inchefls, what is the approximate arc length of one slice of pie?
A. 1.67 inches
B. 13.08 inches
C. (c) 3.14 inches
D. D 5.24 inches
Answers
The approximate arc length of one slice of pic is 5.24 inches according to the circle circumference.
Let us assume that the pic is equally cut into 6 pieces. Also given that the diameter of the pie is 10 inches.
Diameter (D)=10.
So the radius will be D/2.
Radius (R)=10/2=5.
The pie's circumference is given by:
C=2πR
C=2π*5
C= 10π (in)
Because the pie is divided into six pieces, the circumference of the pie is divided into six equal-length arcs. So,
Length of Arc (L)= 10π/6
L = 5π/3
L= 5(3.14)/3
L=5.234=5.24
Therefore the approximate arc length of one slice of pie is 5.24 inches.
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which of the following are true statements? select all that apply: 1. a 95% confidence interval is a random interval that contains the true parameter 95% of the time 2. the true parameter is a random value that has 95% chance of falling in the 95% confidence interval 3. i perform a linear regression and get a 95% confidence interval from 0.4 to 0.5. there is a 95% probability that the true parameter is between 0.4 and 0.5. 4. the true parameter (unknown to me) is 0.5. if i sample data and construct a 95% confidence interval, the interval will contain 0.5 95% of the time. answer :
Answers
Among the following statements, The true statements are:
Option (1) a 95% confidence interval is a random interval that contains the true parameter 95% of the time, (2)the true parameter is a random value that has 95% chance of falling in the 95% confidence interval, (3) i perform a linear regression and get a 95% confidence interval from 0.4 to 0.5. there is a 95% probability that the true parameter is between 0.4 and 0.5, (4) the true parameter (unknown to me) is 0.
A 95% confidence interval is a random interval that contains the true parameter 95% of the time.
The true parameter is NOT a random value, and it is not correct to say that it has a 95% chance of falling in the 95% confidence interval.
If you perform a linear regression and get a 95% confidence interval from 0.4 to 0.5,
it means that if you repeated the same experiment many times, 95% of the resulting confidence intervals would contain the true parameter.
It is not correct to say that there is a 95% probability that the true parameter is between 0.4 and 0.5 because the true parameter is either in the interval or not.
If the true parameter is 0.5 and you sample data and construct a 95% confidence interval, the interval may or may not contain 0.5.
The 95% confidence interval is a statement about the probability of the interval containing the true parameter, not about the probability of the true parameter being any specific value.
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please help idek how to slove this give a step by step too please
Answers
Answer:
x = 3/85
Step-by-step explanation:
log2 (6) - log2 (5x) = log2 ( 34)
We can use the properties of logs.
First subtract log2 (6) from each side.
log2 (6) - log2 (5x) - log2 (6) = log2 ( 34)-log2 (6)
- log2 (5x) = log2 ( 34)-log2 (6)
Now we know that log a - log b = log a/b
- log2 (5x) = log2 ( 34/6)
- log2 (5x) = log2 ( 17/3)
Multiply each side by -1
log2 (5x) = -log2 ( 17/3)
We know that -log (a/b) = log ( b/a)
log2 (5x) = log2 ( 3/17)
The terms inside the logs must be the same
5x = 3/17
Divide each side by 5
5x/5 = 3/17 * 1/5
x = 3/85
Select all the equations that are equivalent. 52 = 8n + 4 4(2n + 1) = 52 4 = 52 – 8n 4n = 48 n = 6
Answers
Answer:
all of these equations except 4n = 48
Step-by-step explanation:
your equations are
52 = 8n+4
4(2n+1) = 52
4 = 52-8n
4n = 48
n = 6
let's solve these equations!
52 = 8n + 4
48 = 8n
n = 6
4(2n+1) = 52
8n + 4 = 52
8n = 48
n = 6
4 = 52-8n
-48 = -8n
n=6
4n = 48
n = 12
all of these equations simplify to n = 6 except for 4n = 48, so they're all equivalent
Use the drop-down menus to complete the statements
to match the information shown
by the graph.
Answers
The correct drop down menus from the graph are:
First box: faster than, slower than, at the same rate as.Second box: greatest x-value, line, y-intercept, slope.Third box: greater than, less than, equal to.Fourth box: greatest x-value, x-intercept, y-intercept, slope, origin.Fifth box: minutes per gallon, gallons per minute.What is our observation on the graph?Pool A is filling up slower than Pool B because the slope of the graph of Pool A is less than that of the graph for Pool B.
The slope of the graph tells you the unit rate in gallons per minute. Its means the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
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Compare the slope and length of segment EF with the slope and length of segment AB. What do you notice? What are you wondering?
Answers
The slope of segment EF and AB is same but the length of segment EF is half of the length of segment AB.
What is Line segment ?
An unmoving portion of a line is called a line segment. Two points serve as its ends. By the termination points, it is identified.
Let's assume the length of EF to be "x"
from the figure, we can clearly see that AB is made up of two segments which are of same length as EF.
So, we can say that AB = 2 times of the length of EF
i.e. AB = 2 x
Hence, By comparing, we conclude that AB's length is double of EF.
Now, if we look at slope,
Slope of EF = CE/CF
and, Slope of AB = BC/AC
But, we know that AC = 2 CF and BC = 2 CE
So, Slope of EF = CE/CF
and, Slope of AB = 2 CE / 2 CF
= CE/CF.
Hence, Both segments have same slope direction.
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D=S×T
150×2 1/2
please help
Answers
A passenger train leaves a train depot 1 h after a freight train leaves the same depot. The freight train is traveling 18 mph slower than the passenger train. Find the rate of each train if the passenger train overtakes the freight train in 2 h.
A. passanger train ___ mph
B. freight train ___ mph
Answers
A. passenger train 36mph
B. freight train 18mph
What is meant by speed?
Speed is what it means. the speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Given that it just has a direction and no magnitude, speed is a scalar number.
Given that, A freight train departs from a train depot and let us consider it is travelling at an 'x' mph
and An hour later a passenger train departs the same train depot with a speed 'of x+18 mph.
After 2 hours the passenger train overtakes the freight train.
The total distance travelled by both trains when the passenger train overtakes the freight is equal.
Distance travelled by freight train = x*3
Distance travelled by passenger train = (x+18)*2
Now, 3x = 2x + 36
x = 18
and x + 18 = 36
Therefore, The speed of the passenger train and freight train are 36mph, and 18mph respectively
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A ringtoss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely filled with water. The dimensions of the rectangular prism are shown in the diagram.
What is the volume of the rectangular prism in cubic centimeters?
Answers
The volume of the rectangular prism will be 270 cm³. The correct option is B.
What is volume?The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.
The volume of the rectangular prism will be the multiplication of the three parameters which are Length, Width, and Height of the prism.
The volume will be calculated by the formula:-
Volume = L x W x H
Volume = 2 x 9 x 15
Volume = 270 cubic cm
The volume of the rectangular prism will be 270 cm³.
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The complete question is given below and the missing image is attached with the answer below.
A ringtoss toy is composed of a rectangular prism on top of a cylinder.
The rectangular prism is completely filled with water.
The dimensions of the rectangular prism are shown in the diagram.
What is the volume of the rectangular prism in cubic centimeters?
A) 26 cm3
B) 270 cm3
C) 165 cm3
D) 348 cm3
CAN SOMEONE HELP FAST!!
In a certain city, E street, W street, C street, and D street are parallel streets that intersect K street and M street. How long is K street between C street and D street?
Answers
Answer:
The required measure of Street K between Street C and D is 337.5 ft.
Step-by-step explanation:
have a nice day.
The total change in the daily high temperature from Monday to Saturday in one week in Columbus was -15° F.
Complete the table to show the possible temperature change for Monday.
Monday
Tuesday: +7
Wednesday: 12
Thursday: +2
Friday: -6
Answers
The temperature change for Monday is -30 degrees Fahrenheit,
The completed table is: Monday: -30, Tuesday: +7, Wednesday: +12, Thursday: +2, Friday: -6, to make the total change from Monday to Saturday equal to -15 degrees Fahrenheit.
To complete the table, we need to find the temperature change for Monday that makes the total change from Monday to Saturday equal to -15 degrees Fahrenheit.
Let x be the temperature change for Monday. Then, we can set up the equation:
x + 7 + 12 + 2 - 6 = -15
Simplifying and solving for x, we get:
x = -30
Therefore,
The temperature change for Monday is -30 degrees Fahrenheit, and the completed table is:
Monday: -30
Tuesday: +7
Wednesday: +12
Thursday: +2
Friday: -6
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Jan has a cookie jar that contains five peanut butter cookies, eight chocolate chip cookies, and twelve oatmeal raisin cookies. Jan reaches in and grabs a cookie, what is the probability that she will get a chocolate chip cookie?
Answers
Answer:
8/25
Step-by-step explanation:
5+8+12=25
8/25
Answer: 8/25
Step-by-step explanation:
Find probability with item/total.
total is 25
there are 8 chocolate chip cookies
8/25 is your answer
HOPE THIS HELPS _ MM
