Answer:
x =-2
Step-by-step explanation:
1/5^(2x - 1) =3125
5^-2x +1 =5^5
1-2x =5
-2x =5-1
-2x =4
X =4/-2
x =-2
Answer:
1/5^-(2x-1) = 3125
Write them in positive exponent form
We get
5^(2x-1) = 3125
5^(2x -1) = 5^5
2x - 1 = 5
2x = 5+1
2x = 6
x = 3
Hope this helps.
Calculate the mean given the frequency table
Class
Frequency
0-9
24
10-19
20
20-29
32
Answer:
15.6
Step-by-step explanation:
First, multiply the midpoint of each class by its frequency, as follows:
Class midpoint frequency midpoint*frequency
0-9 4.5 24 4.5*24 = 108
10-19 14.5 20 14.5*20 = 290
20-29 24.5 32 24.5*32 = 784
Total 76 1182
The mean is computed as the division between the addition of the "midpoint*frequency" column by the addition of "frequency" column.
mean = 1182/76 ≈ 15.6
Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker is selected at random, what is the probability the student scored 573 or greater on the exam?
Answer: the probability that the student scored 573 or greater on the exam is 0.31
Step-by-step explanation:
Let x be the random variable representing the math scores on the SAT exam. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 514
σ = 118
the probability that the student scored 573 or greater on the exam is expressed as
P(x > 573) = 1 - P(x ≤ 573
For x = 573,
z = (573 - 514)/118 = 0.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.69
P(x > 573) = 1 - 0.69 = 0.31
Direct Variation: If y = 6, when x = -2, find y when x = 18.
Answer:
The answer is -54. Please mark as brainliest :)
Step-by-step explanation:
Y is directly proportional to x. So....
Finding the value of constant k.y=kx
6=-2k
-3=k.
Finding y when x is 18y=-3*18
y=-54.
Solve the equation using square roots.
[tex]3x^{2} -12=0[/tex]
Answer:
x = 2, x = - 2
Step-by-step explanation:
3x² - 12 = 0
3x² = 12
x²= 12/3
x²= 4
√x² = +/- √4
x = +/- 2
x = 2, x = -2
ANSWERR ASAPP
the directions on a lawn mower manual call for a mixture of oil and gasoline that is 60% oil. the tank holds 12 gallons. how many gallons will be oil?
A. 7.2 gallons
b. 5.8 gallons
c. 6.8 gallons
d. 5 gallons
Please answer The attachment correctly below.
Answer:
$55
Step-by-step explanation:
do PEMDAS
do parenthesis first
then multiply
6.75 plus 4.25 is 11
multiply 11 by 5
Express each of the following as a rational number and represent them on the same number line :1/4 0.75 and -3
Answer:
Step-by-step explanation:
1/4
0.75= 75/100=3/4
-3=-12/4
The following is a rational number and represents them on the same number line:1/4 0.75 and -3 is
1/4
0.75= 75/100=3/4
-3=-12/4
What is an example of a rational number?
A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0. Some of the examples of rational numbers include 1/3, 2/4, 1/5, 9/3, and so on.
What is a rational number?A rational number is any number that can be expressed as a fraction or ratio of two integers. For example, 3/4, 8.75, 2, and -6 are all considered rational numbers. Note that integers, or "whole numbers", are rational numbers. This is because they can be expressed as fractions.
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Isabel invested $200 in a fund for 6 years and was paid simple interest. The total interest that she received on the investment was $48. As a percentage, what was the annual interest rate of her investment.
Read the following paragraph. How does sentence 4 develop the main idea of the paragraph?
Gertrude Belle Elion was born on Jan. 23, 1918, in New York City.
She graduated from Hunter College in New York City with a degree in biochemistry in 1937.
Unable to obtain a graduate research position because she was a woman, she took a series of jobs, including lab assistant, chemistry and physics teacher in New York City high schools, and research chemist.
During this time she also took classes at New York University, where she earned a master's degree in 1941.
Because she could not devote herself to full-time studies, Elion never received a doctorate.
This sentence tells readers where she went to school for her doctorate degree.
This sentence shows Elion's determination and commitment to learn.
This sentence shows that Elion had to try many schools to get accepted into one.
This sentence proves the idea that Elion had to learn biochemistry in unusual ways.
Answer:
This sentence shows Elion's determination and commitment to learn.
Step-by-step explanation:
During this time she also took classes at New York University, where she earned a master's degree in 1941.
The way in which sentence 4 assists in developing the key idea of the paragraph would be:
B). This sentence shows Elion's determination and commitment to learn.
The key idea that the given paragraph aims to convey is a brief biography of Belle Elion to the readers, especially, her early life.Sentence 4 in the given paragraph aims to advance this idea by displaying the strength, dedication, and determination that she put towards learning.This helps the readers understand her character sketch more clearly and effectively.Thus, option B is the correct answer.
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The athlete drink 16 ounces of water every two hours starting at 7:30 AM and continuing for the next 14 hours. A) how many quarts did the athlete consume? B) how many pints of water did the athlete consume?
When the athlete drink 16 ounces of water every two hours for the next 14 hours,
(A) The athlete consumes 3.5 quartz of water.
(B) The athlete consumes 7 pints of water.
Conversions(1) Ounce to Pints16 ounces = 1 pint
(2) Quarts to Ounces1 quart = 32 ounces.
(A) Calculation for the water consumed by athlete in quarts:The total duration for which athlete consumes the water is 14 hours with a after every 2 hours.
The total number of times the water consumed by athlete is 14/2 = 7.
Covert the 16 ounces of water in quarts
= 16/ 32
=1/2
The total quantity of water consumed in quarts is
= 7×(1/2)
= 3.5 quarts
Thus, the amount of water consumed by athlete in entire 14 hours is 3.5 quarts.
(B) Calculation for the water consumed by athlete in pints:The total duration for which athlete consumes the water is 14 hours with a after every 2 hours.
The total number of times the water consumed by athlete is 14/2 = 7.
Convert 16 ounce of water into pint
= 16/16
= 1
The total quantity of water consumed in pints is
= 7×1
= 7
Thus, the amount of water consumed by athlete in entire 14 hours is 7 pints.
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What is the equation in slope-intercept form of a line passing through points (-1, 1) and (1, 5)
Answer:
y=2x+3
Step-by-step explanation:
Answer:
y=2x+3
Step-by-step explanation:
Factor 64 – x15. (4 – x3)(16 + 4x3 + x3) (4 – x3)(16 + 4x3 + x6) (4 – x5)(16 + 4x5 + x5) (4 – x5)(16 + 4x5 + x10)
Answer:
D :)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
192 € down by a quarter?
Answer:
144 €
Step-by-step explanation:
If you begin with 192 € and these funds decline (go down) by a quarter, you'll end up with
(1.00 - 0.25)(192 €) = 144 €
HELP!!! 2(4x+3)=x+1 It's geometry!
Answer:
[tex]x=-\frac{5}{7}[/tex]
Step-by-step explanation:
[tex]2(4x+3)=x+1[/tex]
[tex]8x+6=x+1[/tex]
[tex]8x-x=1-6[/tex]
[tex]7x=-5[/tex]
[tex]x=\frac{-5}{7}[/tex]
Answer:
x = -5/7
Step-by-step explanation:
2(4x+3)=x+1
Distribute
8x +6 = x+1
Subtract x from each side
8x+6-x = x+1-x
7x+6 = 1
Subtract 6 from each side
7x+6-6 = 1-6
7x =-5
Divide each side by 7
7x/7 = -5/7
x = -5/7
Zack needs $299.99 to buy the new bike he wants. He has saved $150 so far toward the new bike. From this week on, he will save $12.50 per week toward the new bike. Ten weeks from now, how much more money will he still need to save to buy the bike?
$24.99
$29.99
$127.49
$137.49
Answer:
The answer is $24.99
The solution is Option A.
The equation of line is y = 12.5x + 150 , where x is the number of weeks
The amount Zack needs after 10 weeks to buy the bike is $ 24.99
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The price of the bike Zack needs to buy = $ 299.99
The initial amount with Zack = $ 150
The amount Zack saves in a week = $ 12.50
The number of weeks = x
The amount Zack saves in x weeks = 12.5x
So , the total amount with Zack after x week is given by the equation ,
Total amount with Zack after x week y = amount Zack saves in x weeks + initial amount with Zack
Substituting the values in the equation , we get
Total amount with Zack after x week y = 12.5x + 150
Now , after 10 weeks , the amount with Zack is
Substitute the value of x as 10 in the equation , we get
y = 12.5x + 150
y = 12.5 ( 10 ) + 150
y = 125 + 150
y = $ 275
Now , the amount left to buy the bike = price of the bike Zack needs to buy - amount with Zack after 10 weeks
Substituting the values in the equation , we get
Amount left to buy the bike A = $ 299.99 - $ 275
Amount left to buy the bike A = $ 24.99
Therefore , the value of A is $ 24.99
Hence , the amount Zack needs is $ 24.99
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100 points and brainliest A sports club has 84 members who learned baseball, and 42 of those members also learned basketball. There are 25 students who did not learn baseball but learned basketball, and 8 students did not learn either baseball or basketball. Which table best shows the conditional relative frequency of rows for the data? Learn baseball Do not learn baseball Total Learn basketball 0.36 0.21 1 Do not learn basketball 0.36 0.07 1 Total 0.72 0.28 1 Learn baseball Do not learn baseball Total Learn basketball 0.5 0.76 1 Do not learn basketball 0.5 0.24 1 Total 0.72 0.28 1 Learn baseball Do not learn baseball Total Learn basketball 0.63 0.37 1 Do not learn basketball 0.84 0.16 1 Total 0.72 0.28 1 Learn baseball Do not learn baseball Total Learn basketball 0.42 0.25 1 Do not learn basketball 0.42 0.80 1 Total 0.84 0.33 1
Answer: The answer is C. C in your given options.
Step-by-step explanation:
Learn baseball Do not learn baseball Total
Learn basketball 0.63 0.37 1
Do not learn basketball 0.84 0.16 1
Total 0.72 0.28 1
Answer:
C
Step-by-step explanation:
Learn baseball Do not learn baseball Total
Learn basketball 0.63 0.37
Do not learn basketball 0.84 0.16
Total 0.72 0.28
Hope this helps!
Which of the following rational functions is graphed below?
Answer:
option B
Step-by-step explanation:
We can see in the graph that the function has two values of x where the value of y goes to infinity: x = -6 and x = 6.
These points where the value of the function goes to infinity usually are roots of the polynomial in the denominator of a fraction (when the values of x tend to these values, the denominator of the fraction tends to 0, so we have a discontinuity in the function).
So the option that represents a function that have these points in x = -6 and x = 6 is the function in option B.
The other options show functions that have only one point that goes to infinity.
Answer:b
Step-by-step explanation:
In the diagram below, DE is parallel to XY. What is the value of x?
.
X
105
A. 75
B. 125
C. 105
D. 95
Answer:
105 degrees
Step-by-step explanation:
Corresponding angles
Answer:
x = 105⁰( corresponding angles)
Josh paid for four books with three $20 bills he received $12 in change each book was the same price how much did each book cost
Three $20 bills is a total of $60
$60 - $12 = $48
He spent a total of $48 on the books
Divide the total spent by the number of books:
48 / 3 = 16
Each book cost $16
Answer:$12 per book
Step-by-step explanation: $20 x 3= $60
If you have $12 change you minus that from the $60
Now that is $48 for 4 books.
To work out one book you do $48/4 which is $12 per book.
abbi invested 1000 in a certificate of deposit with a simple interest rate of 3% . find the interest earned in 6 years then find the total of principal plus interest
Answer: interest = 180
Amount 1000 + 180 = 1180
Step-by-step explanation:
SI = prt / 100
(1000 x 3 x 6)/100
18000/100 = 180
Solve the system of equations.
x + 3y = −1
2x + 2y = 6
(−4, 1)
(2, −1)
(4, −1)
(5, −2)
Answer:
(5,-2)
Step-by-step explanation:
Multiplying the first equation by 2 we get
2x+6y=-2
Subtracting the second equation we get
4y=-8
y=-2
Plugging y as -2 into the equation we get x=5
Answer:
(5, -2)
Step-by-step explanation:
x + 3y = −1
2x + 2y = 6 ⇒ x+y=3
Subtract second equation from the first one:
x+3y=-1x+y=33y-y= -1 -32y= -4y= -2x= 3+2= 5would you rather have a pool thats 40ft x 9ft x 4ft or a pool that 7yds x 4yds x 2yds \
explain please
Answer:
I would rather have the pool that is 40ft x 9ft x 4ft.
Step-by-step explanation:
I hope this helps!
Which relation is a function of x? {(1, 2), (7, 6), (3, 2), (1, 0), (5, 6)} A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 0, 0, 0. Column 2 is labeled y with entries 2, negative 6, 9, negative 7. x = 3 y squared minus 7 On a coordinate plane, a graph curves up, then curves down, and then curves up again.
Answer:The answer is D the last one.
Answer:
D on edu
Step-by-step explanation:
please help with numbers 5 and 6
The answer of question no 5 is 46
The answer of question no 6 is 79
Look at the attached picture
Hope it will help you
Somebody help ASAP please please please. I basically forgot all the steps to do this.
Answer:
m=50
Step-by-step explanation:
m=4a+2c
m= 4(10)+2(5)
m= 40+10
m=50
The town of Haverford just bought land to make a new park. The land is in the shape of a rectangle that is 2/3 of a mile wide and 3/4 of a mile long.
What is the area, in square miles, of the land the town of Haverford bought?
A 5/12
B 6/12
C 8/9
D 6
Answer:
B 6/12
Step-by-step explanation:
The first step is to set up your fraction like so: [tex]\frac{2}{3} x \frac{3}{4}[/tex]
Next you will multiply across the top 2·3=6 (this will become your numerator)
Then you will multiply across the bottom 3·4=12(this will become your denominator)
if asked it can be simplified to 1/2 if not your final equation will look like:
[tex]\frac{2}{3} x \frac{3}{4} = \frac{6}{12}[/tex]-3+m --------- = 10 9
Answer:
proper answer pls
Step-by-step explanation:
Whats the greatest number of cross sections?
A rectangular painting canvas has the dimensions of 22 by 23 inches. Find the area, in square inches, of the painting. Use the formula, area = length * width
Answer:
506 square inches
Step-by-step explanation:
length=22 inches
breadth=23 inches
area=length *breadth
area=22*23=506 squareinches
Answer:
506 inches
Step-by-step explanation:
22 times 23 equals 506 inches.
100pts: What is the slope of the following curve at x = n, for an arbitrarily chosen integer n?:
y = 3x^2 - 37x + 6
Answer:
6n -37
Step-by-step explanation:
The slope would be the derivative of the function
dy/dx = 6x - 37 evaluated at the point n
dy/dx = 6n -37
Answer:
6n - 37
Step-by-step explanation:
The derivative of the function f(x) gives the gradient (slope) of the tangent to the graph of y = f(x) at the point (x, y).
Given:
[tex]y=3x^2-37x+6[/tex]
Therefore, the gradient (slope) of the given curve at x is:
[tex]\implies \dfrac{dy}{dx}=2 \cdot 3x^{2-1}-37x^{1-1}+0[/tex]
[tex]\implies \dfrac{dy}{dx}=6x-37[/tex]
To find the slope, simply substitute x for n:
[tex]\implies 6n-37[/tex]