We'll observe that the evaluated expression equals 244 in the next step.
How is an expression evaluated?To evaluate an expression, we only need to swap out the variables with the desired values.
What does evaluating expressions look like in practice?When x = 5 x = 5 x=5, you can be asked to "Evaluate 3 x 3x 3x." In the formula 3 x 3x 3x, take note of the proximity of the number 3 to the variable x. This denotes "x times three."
Here, we must assess:
2(s+t)³-6
By substituting them in the formula for t = 2 and s = 3, we obtain:
2(3+2)³- 6
= 2*(5) (5)³ - 6
= 2*125 - 6
= 244
Consequently, the evaluated expression equals 244.
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the prefix that multiplies a basic si unit by 0.01 is
SI unit is an international system of measurements that are used universally in technical and scientific research to avoid the confusion with the units. Having a standard unit system is important because it helps the entire world to understand the measurements in one set of unit systems.
SI system“The International System of Units is abbreviated as SI.The SI system has seven base units.The SI system allows the use of prefixes to indicate the multiples or submultiples of a unit.SI prefix for \(10^-^9\)The SI prefix for \(10^-^9\) is nano.The symbol for nano is n.Learn more about SI unit at:
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The given question is incomplete, complete question is:
What is the SI prefix for each of the following multiples and submultiples of a unit?
\(10^-^9\)
Hello. This question asks to solve for x and I don't understand how to do that here. Can you please help?
Answer
x = 6°
Explanation
The key to solving this is shown in the attached image below
So, we can see that the relation between all of this is that
5x + 17 = ½ [(37x + 5) - (23x - 5)]
5x + 17 = ½ (37x + 5 - 23x + 5)
5x + 17 = ½ (37x - 23x + 5 + 5)
5x + 17 = ½ (14x + 10)
5x + 17 = 7x + 5
5x - 7x = 5 - 17
-2x = -12
Divide both sides by -2
(-2x/-2) = (-12/-2)
x = 6°
Hope this Helps!!!
Can you do no7 doesn’t matter if u do just one part everything will help
refer to the tabe summarizing service times of dinners at a fast food restaurant. how many individuals are included in the summary
By referring to the table that summarizes service times of dinners at a fast food restaurant, we can see that there are 49 individuals who are included in the summary.
We may calculate the total number of people by simply adding the frequencies:
9 + 20 + 13 + 4 + 3 = 49 people
A measure of an event's frequency is how often it occurs within a specific time frame. For clarity, it is sometimes referred to as temporal frequency and is distinct from angular frequency. The class interval is the distance between the top and lower class bounds of a frequency distribution table. Data are discrete pieces of factual information that are logged and used for analysis. Raw data is the foundation from which statistics are derived. Statistics are the results of data analysis, including its interpretation and presentation. The outcomes of data analysis, including its interpretation and presentation, are statistics. It includes techniques for data collection, evaluation, analysis, and interpretation, is the study and manipulation of data.
Note that the full question is:
Refer to the table summarizing service times (seconds) of dinners at a fast food restaurant. How many individuals are included in the summary? Is it possible to identify the exact values of all of the original service times?
Time (sec) Frequency
60 to 119 9
120 to 179 20
180 to 239 13
240 to 299 3
300 to 359 4
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The equation of a line is y = 3x + 8 What is the gradient of the line?
Answer:
The gradient of the line is 3.
Step-by-step explanation:
The equation of the line is in slope-intercept form, which is y = mx + b, where "m" is the slope or gradient of the line.
In this case, we can see that the slope-intercept form is already given, and the coefficient of "x" is 3, which means that the slope or gradient of the line is 3.
Therefore, the gradient of the line is 3.
Answer:
3
Step-by-step explanation:
gradient is just a fancy word for slope.
in the equation y=mx+b, m equals the slope.
the slope is 3.
have a great day. i hope you learned something and thx for your inquiry :)
Tyson has a $50 gift card to use at a store. He does not have any additional money to spend at the store. Tyson will purchase a belt that costs $8 and x
number of shirts that cost $15 each. The function f(x) = 42 - 15x models the balance on the gift card after Tyson makes the purchases. What is the mo
appropriate domain of the function?
(A) all integer values of
B
all positive integer values of x
©
0 x< 2 where x is an integer
D
0<x<3 where x is an integer
First
Back Pause I
Next
Review I
0 ≤ x < 2, where x is an integer. Option C
The appropriate domain for the function f(x) = 42 - 15x in the given context can be determined by considering the constraints of the problem.
Tyson has a $50 gift card, and he wants to purchase a belt that costs $8 and x number of shirts that cost $15 each. The function f(x) represents the balance on the gift card after Tyson makes the purchases.
The number of shirts Tyson can purchase depends on the remaining balance on the gift card. Since each shirt costs $15, the maximum number of shirts he can buy is limited by the amount of money left on the gift card.
If we subtract the cost of the belt ($8) and the cost of x shirts ($15x) from the initial balance ($50), we should get a non-negative result, indicating that Tyson has enough money on the gift card to make the purchases.
Therefore, we can set up the inequality:
50 - 8 - 15x ≥ 0
Simplifying, we have:
42 - 15x ≥ 0
Now, we can solve for x:
-15x ≥ -42
Dividing by -15 (remembering to flip the inequality sign), we get:
x ≤ 42/15
x ≤ 2.8
Since x represents the number of shirts Tyson can buy, it should be a whole number. Therefore, the appropriate domain for the function f(x) is:
0 ≤ x ≤ 2, where x is an integer.
Option C.
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Someone please help with this Free Response on USATestPrep
Given the equation y = 12x − 25, describe a real-life context that could be modeled by the equation and describe the meaning of the coefficient, variable, and constant term expressed in the equation.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equation :
y = 12x − 25
The initial depth of groundwater being held by a storage tank which extends downward below the ground surface is - 25. The rate of change in depth the groundwater per unit of Rainfall is 12. Hence, a linear model which could model the depth of water in the tank in the described scenario is ;
y = 12x − 25
The rate of change in depth of ground water, y per unit change in number of Rainfall, x gives the slope Coefficient, which equals 12
The intercept value, which is the initial depth of groundwater before, it started raining is - 25
PLEASE HELP 17 POINTS!
1. A slice is being made to a cube. For each slice—
• Describe the two-dimensional figure resulting from the described slice. Use the specific name when possible.
• Determine whether a different slice can produce a congruent two-dimensional figure. If so, describe or sketch an example of the slice. If not, explain why not.
(a) a slice parallel to the base
(b) a slice that contains and
(c) a slice that contains and vertex F
(a.) A slice parallel to the base would result in two rectangular prisms, as opposed to a cube now. These two rectangular prisms would be congruent to each other as it is a perfect slice through the middle.
(b) A slice that contains and AE and DH will make a slanted cube, meaning it will turn into a cubic pyramid.
(c.) A slice that will contain and vertex F will make the cut the figure in half going slanted. They will technically be congruent, although there is no name for this figure.
Perpendicular to y=6x+14
Answer:
-1/6
Step-by-step explanation:
4 rational numbers that are not whole Numbers
Answer:
see below (I hope this helps!)
Step-by-step explanation:
Whole numbers are the integers that are greater or equal to 0. Basically, they are 0, 1, 2, 3....
Rational numbers can be written in the form a / b (where b ≠ 0 and a and b are integers (integers are ..., -1, 0, 1, ...))
Therefore, 4 rational numbers that are not whole numbers could be -5, -1, 0.5, and 3/4.
jeff and chad decide to flip a coin 3 times to see who pays for lunch. chad picks heads and he must get heads at least twice out of 3 flips to win and have jeff pay for his lunch. what is the probability chad gets at least 2 heads on 3 flips?
The probability that chad gets at least 2 heads on 3 flips is 1/2 which was found using the sample space.
How does probability explain work?Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.Given: To decide who will pay for lunch, Jeff and Chad decide to flip a coin three times. Chad chooses heads, and in order to win and have Jeff pay for his lunch, he must get heads at least twice out of three times.
Let,
H = Heads
T = Tails
Sample space = {HHH, HTH,THH,TTH, HHT, HTT,THT,TTT}
Total number of possible outcomes = 8
Probability that chad gets at least 2 heads is given as:
P(A)=P(getting two heads)+P(getting 3 heads)
= 3/8 + 1/8
= 4/8
= 1/2
Therefore, the probability chad gets at least 2 heads on 3 flips is 1/2 which was found using the sample space.
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GIVING BRAINLIEST!!!!!
plane PBC is right answer.
it's a logical answer....
Answer:
Plane PBC
Step-by-step explanation:
Plane PBC contains 4 points : P, B, C, and Q.
The question asks which contains all three of C, Q, and P.
The plane is Plane PBCIf a researcher sets the alpha at .05 and obtains a p value of .06, this means that a null hypothesis would
The null hypothesis would not be rejected and the researcher would fail to find statistical significance at the chosen alpha level of .05.
If a researcher sets the alpha level at .05 and obtains a p-value of .06, it means that the p-value is greater than the chosen significance level. The alpha level, also known as the significance level, represents the threshold for determining whether the results are statistically significant or not.
In hypothesis testing, the null hypothesis assumes that there is no significant difference or relationship between variables.
If the p-value is less than or equal to the alpha level, it suggests that there is enough evidence to reject the null hypothesis and conclude that there is a significant difference or relationship.
However, if the p-value is greater than the alpha level, as in this case with a p-value of .06, it means that the observed data does not provide sufficient evidence to reject the null hypothesis.
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Please help... Math is so hard for me. Can someone please explain?
Answer:
3rd choice
Step-by-step explanation:
the 3rd choice is the same as all of the others just in fraction form .you need to keep fraction form for the statement to still be true
Answer: 1st one
Step-by-step explanation: All you got to think about is think of the fraction if the x value is odd and the y value is odd, when you add them together you will get and odd number. :)
Charlie borrowed $500 from his aunt. He has already paid back $75. His aunt doesn't charge
any interest and he is planning on making $15 payments each friday
Answer:
555
Step-by-step explanation:
because it is tyeesgghhhhfdfhf
How many ways can six of the letters of the word 'PALINDROME' be selected and written in a row if the first two letters must be M and E in any order?
BY permutation, There are 90 ways by which the arrangement of 'PALINDROME' takes place.
According to the statement
we have given that the word 'PALINDROME' and we have to find that the in how much ways this word can be arranged.
So, For this purpose, we use the permutation here
So, A permutation is a mathematical technique that determines the number of possible arrangements.
The word given is:
'PALINDROME' this contain 10 words and given 2 words M and E are in any order.
So, Permutation takes place with \(P^{10} _{2}\).
So,
\(P^{10} _{2}\)
Now solve this then
\(P^{10} _{2} = \frac{10!}{(10 -2) !}\)
And
\(P^{10} _{2} = \frac{10!}{(8) !}\)
\(P^{10} _{2} = \frac{10*9*8*7*6*5*4*3*2*1}{(8*7*6*5*4*3*2*1) !}\)
And then after take common from them and cancel it the equation become
\(P^{10} _{2} = 10*9\)
\(P^{10} _{2} = 90\)
90 ways are comes as the output.
So, BY permutation, There are 90 ways by which the arrangement of 'PALINDROME' takes place.
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What are the slopes of GH, HI, IJ, JG
The slopes of GH, HI, IJ, and JG include the following:
Slope GH = 2.Slope HI = -4.Slope IJ = 2.Slope JG = -4.How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
Slope GH = (-3 + 9)/(-4 + 7)
Slope GH = 6/3
Slope GH = 2.
Slope HI = (5 + 3)/(-6 + 4)
Slope HI = -8/2
Slope HI = -4.
Slope IJ = (-1 - 5)/(-9 + 6)
Slope IJ = -6/-3
Slope IJ = 2.
Slope JG = (-9 + 1)/(-7 + 9)
Slope JG = -8/2
Slope JG = -4.
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Which question can be answered by finding 3 1/2 / 1/4
1. You have 3 1/2 meters of ribbon and use 1/4 meter. How much ribbon is remaining?
2. How much is 1/4 of a 3 1/2-meter long piece of ribbon?
3. How many 1/4
-meter long pieces of ribbon are needed to have a total of 3 1/2meters of ribbon?
PLS HELP!!!
You are given two bipartite graphs G and H below. For each graph determine whether it has a perfect matching. Justify your answer, either by listing the edges that are in the matching or using Hall's Theorem to show that the graph does not have a perfect matching. graph G graph H
Both graphs G and H have perfect matchings.
A perfect matching in a bipartite graph is a set of edges that matches every vertex in one part of the graph to a vertex in the other part. In both graphs G and H, there are an equal number of vertices in each part, so there is always a perfect matching.
For graph G, one possible perfect matching is:
0-1
1-2
2-3
3-0
For graph H, one possible perfect matching is:
0-1
1-2
2-3
3-0
Hall's Theorem can also be used to prove that both graphs have perfect matchings. Hall's Theorem states that a bipartite graph has a perfect matching if and only if for every subset S of the vertices in one part of the graph, the number of edges in S that are incident to vertices in the other part is at least as large as the number of vertices in S. In both graphs G and H, this condition is satisfied, so both graphs have perfect matchings.
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During the last football season, the percentage of tight ends in the league who made a touchdown reception was 45%. A sports statistician is interested in how the spread of receptions is affected by sampling a different number of tight ends in the league. What is the standard error of the sampling distribution of sample proportions for samples of size n = 32, 42, and n = = 52? Round all answers to the nearest hundredths if applicable. Provide your answer below: If n=32 then on II р_____If n = 42 then 0.= р _____If n=52 then on= р_____
The standard error of the sampling distribution for n = 52 is 0.0094, rounded to the nearest Hundredths.
The standard error of the sampling distribution of sample proportions for samples of size n = 32, 42, and n = 52, we first need to calculate the standard deviation (σ) of the population proportion, which is given by:
σ = sqrt [p * (1-p) / n]
Where p is the percentage of tight ends in the league who made a touchdown reception (p = 0.45) and n is the sample size.
For n = 32:
σ = sqrt [0.45 * (1-0.45) / 32] = 0.0805
The standard error (SE) of the sampling distribution of sample proportions is given by:
SE = σ / sqrt(n)
So, for n = 32:
SE = 0.0805 / sqrt(32) = 0.0143
The standard error for n = 32 is 0.0143, rounded to the nearest hundredths.
For n = 42:
σ = sqrt [0.45 * (1-0.45) / 42] = 0.0739
SE = σ / sqrt(n) = 0.0739 / sqrt(42) = 0.0114
Therefore, the standard error for n = 42 is 0.0114, rounded to the nearest hundredths.
For n = 52:
σ =\(\sqrt {0.45} * (1-0.45) / 52] = 0.0677SE = \sigma / \sqrt(n) \\= 0.0677 / \sqrt(52) = 0.0094\)
Therefore, the standard error for n = 52 is 0.0094, rounded to the nearest hundredths.
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What would be the degree of financial leverage for Foggy Futures Weather Forecasters if the company has earnings before interest and taxes of $750,000, has a 4. 5% loan on $1,000,000, and is in the 38% tax bracket? The firm does not have any preferred stock outstanding. A. 1. 22 b. 0. 97 c. 1. 06 d. 1. 78
The degree of financial leverage for Foggy Futures Weather Forecasters
is 1.06
Degree of Financial leverage (DFL) = (EBIT) / (EBT)
Earnings Before Interest and Taxes (EBIT) = $750,000
Amount to be given as loan on $1000000
$1,000,000 x 4.5% = $1,000,000 x 4.5/100
= $45000
To find EBT ( Earnings Before Tax),
EBT = EBIT - 45000
= 750000 - 45000
EBT = 705000
∴ DFL = (EBIT) / (EBT)
= 750000/705000
DFL = 1.06
The DFL is a percentage that accountants and financial professionals use to show changes in a company's net income due to changes in its profits before interest and taxes (EBIT).
Earnings before interest and taxes (EBIT) is a measurement of a company's profit in accounting and finance that takes into account all revenues and costs (both operating and non-operating), with the exception of interest costs and income tax costs.ve
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CORRECT ANSWER WITH **STEPS** GETS BRAINLIEST
for the following questions, determine what values of x makes the rational expression equal to zero.
1. x+6 / x-4
2. (x+4)(x-2) / (x+6)
3. 2x+10 / 3x-12
thanks.
Answer:
see explanation
Step-by-step explanation:
if the denominator of a rational expression is zero then the expression will be undefined.
the numerator is the part of the rational expression that makes it zero.
solve the numerators in each to find values of x
1
\(\frac{x+6}{x-4}\)
x + 6 = 0 ( subtract 6 from both sides )
x = - 6 ← value that makes expression equal to zero
2
\(\frac{(x+4)(x-2)}{x+6}\)
(x + 4)(x - 2) = 0
equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
x = - 4 and x = 2 make the expression equal to zero
3
\(\frac{2x+10}{3x-12}\)
2x + 10 = 0 ( subtract 10 from both sides )
2x = - 10 ( divide both sides by 2 )
x = - 5 ← value that makes expression equal to zero
Answer:
1) x = -6
2) x = -4 and x = 2
3) x = -5
Step-by-step explanation:
A rational expression is undefined when the denominator equals zero.
A rational expression equals zero when the numerator equals zero.
Question 1Given rational expression:
\(\dfrac{x+6}{x-4}\)
Set the numerator to zero and solve for x:
\(\implies x+6=0\)
\(\implies x=-6\)
Question 2Given rational expression:
\(\dfrac{(x+4)(x-2)}{x+6}\)
Set the numerator to zero:
\(\implies (x+4)(x-2)=0\)
Apply the zero-product property and solve for x:
\(\implies x+4=0 \implies x=-4\)
\(\implies x-2=0 \implies x=2\)
Question 3Given rational expression:
\(\dfrac{2x+10}{3x-12}\)
Factor the numerator and denominator:
\(\dfrac{2(x+5)}{3(x-4)}\)
Set the numerator to zero and solve for x:
\(\implies 2(x+5)=0\)
\(\implies x+5=0\)
\(\implies x=-5\)
Help! What type of model does the data suggest? Also please show the process on how you got the answer... she wants us to show work smh
i need the answers for finding functions worksheet!
Answer:
1. C 6. B
2. D 7. B
3. B 8. B
4. D 9. B
5. D 10. A
What is the probability that either event will occur?
Now, find the probability of event A and event B.
A
B
6
6
20
20
P(A and B) = [?]
The probability of event A and event B is 6.
Given that, P(A)=6, P(B)=20 and P(A∩B)=6.
P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.
P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10
We know that, P(A and B)=P(A/B)×P(B)
= 3/10 × 20
= 3×2
= 6
Therefore, the probability of event A and event B is 6.
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Find the value of x.
i dont knwo
really but u can try to solve it
Step-by-step explanation:
Plot a scatter plot showing the relationship between father and offspring telomere length.a. Do the data require any transformation before analysis? How can you tell?
b. Fit a linear regression that predicts the offspring telomere length from its father's. Is there evidence that the father's telomere length predicts his offspring's value?
The linear regression that predicts the offspring is The regression equation is y = 0.2134x + 0.513 and the box plot of the data is illustrated below.
The term called box plot is defined as a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.
Here we have know that a scatter plot showing the relationship between father and offspring telomere length.
Then the box plot of the data is plotted as follows.
=> 0.281, 0.301, 0.282, 0.425, 0.463, 0.514, 0.506, 0.535, 0.556, 0.59, 0.49, 0.435, 0.482, 0.504, 0.524, 0.487, 0.554, 0.588, 0.631, 0.664, 0.698, 0.513
Then the linear regression is written as
=> y = 0.2134x + 0.513
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Can someone plz help me with this asap !!
Answer:
For the table, multiply 3 by the input (x), then subtract that answer by 3. That is your answer for each box.
Solve for x (Will get brainliest award)
Answer:
X = 21
Step-by-step explanation:
We know that's 90 degrees in total so we add both angles and equal them to 90 to solve for x
x + 4 + 3x + 2 = 90 Combine like terms
4x + 6 = 90
- 6 -6 subtract 6
4x = 84
/4 /4 isolate x
x = 21
A car traveled at an average speed of 60 mph for two hours. how far did it travel? responses 30 miles 30 miles 60 miles 60 miles 120 miles 120 miles 150 miles
Answer: 120 miles
Step-by-step explanation:
If a car goes 60 miles per hour then in two hours (60×2) it will go 120