Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
7h – 5(3h – 8) = –72
Which statement is true about Pieter’s solution?
1. It cannot be a fraction or decimal because the depth of the well is a whole number.
2. It must be a positive number since it represents a number of hours.
3. It must be a negative number because the depth is below sea level.
4.It cannot be greater than –72 because that is the depth of the well.
Answers
Answer:
Step-by-step explanation:
Is this the entire question? Some of it makes no sense without a diagram or something.
To get rid of A you actually have to solve the equation.
7h – 5(3h – 8) = –72 Remove the brackets
7h - 15h + 40 = - 72 Combine the like terms
- 8h + 40 = - 72 Subtract 40 from both sides
- 8h = -112 Divide by -8
h = 14
Well the depth is a whole number so A is true.
We don't know anything about time. But the answer is positive.
C is false because B is true.
We don't know exactly what the depth of the well is.
I would pick A, but you need the entire question.
Related Questions
Intelligence Iq scores are often reported to be normally distributed with u=100.0 and o=15.0. A random sample of 47 people is taken. What is the probability of a random person on the street having an IQ score of less than 96?
Answers
Given that the mean (μ) of IQ scores is 100 and the standard deviation (σ) is 15, we can convert the individual IQ scores into z-scores, which represent the number of standard deviations a particular IQ score is away from the mean.
The z-score can be calculated using the formula:
z = (x - μ) / σ
where x is the IQ score, μ is the mean, and σ is the standard deviation.
In this case, we want to find the probability of a random person having an IQ score less than 96. We need to find the z-score for an IQ score of 96 and then calculate the probability associated with that z-score using the standard normal distribution table.
First, calculate the z-score:
z = (96 - 100) / 15
z = -0.27
Next, we can use a standard normal distribution table or a calculator to find the probability associated with this z-score. The probability of a random person having an IQ score less than 96 is the area under the standard normal curve to the left of the z-score -0.27.
Using a standard normal distribution table or a calculator, the probability associated with a z-score of -0.27 is approximately 0.3944.
Therefore, the probability of a random person on the street having an IQ score of less than 96 is approximately 0.3944 or 39.44%.
I hope this helps! :)
What is the slope of the line represented by the equation y = -1/2 X + 1/4
Answers
Step-by-step explanation:
y = -1/2 X + 1/4
comparing with y = mx+c
m = -1/2 and m is slop
henve slope = -1/2
1.) 63 is 75% of what number?
Enter your answer in the box.
------------------------------------------------------------------------------------------------------------------------- 2.) 81 is 18% of what number?
Enter your answer in the box.
------------------------------------------------------------------------------------------------------------------------- 3.) What number is 40% of 135?
Enter your answer in the box.
---------------------------------------------------------------------------------------------------------------------------- 4.) Olivia wants to walk 8000 steps today. She walked 45% of this total before lunch.
How many steps did Olivia walk before lunch?
Enter your answer in the box.
---------------------------------------------------------------------------------------------------------------------------- 5.) Kirk's family drove 36 miles in 50 minutes, which was 48% of the distance to his grandmother's house.
What was the total distance in miles to Kirk's grandmother's house?
A.) 17.28 miles
B.) 24 miles
C.) 48 miles
D.)75 miles
( YOU DON'T HAVE TO ANSWER ALL OF THEM JUST BUT WHICH ONE YOUR ANSWERING)
Answers
Answer:
Number 1: 84.
Step-by-step explanation:
Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
Answers
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.Help! i need an answer as soon as possible!
Answers
Answer:
x = 0, 2, -3
Step-by-step explanation:
these are the points from the function f(x) that we are certain that the y value is -1. if you look at the graph at each of these induvidual points y is -1
tan(x-1) ( sin2x-2cos2x) = 2(1-2sinxcosx)
Answers
\(\huge\blue{\fbox{\tt{Solution:}}}\)
We can simplify the expression using trigonometric identities.
First, we can use the double angle formula for sine to write sin(2x) = 2sin(x)cos(x).
Next, we can use the double angle formula for cosine to write cos(2x) = cos^2(x) - sin^2(x) = 1 - 2sin^2(x). Rearranging this equation gives 2sin^2(x) - 2cos^2(x) = -cos(2x) + 1.
Substituting these identities into the original expression gives:
tan(x-1) ( sin2x-2cos2x) = tan(x-1) [2sin(x)cos(x) - 2(1 - 2sin^2(x))]
= 2tan(x-1)sin(x)cos(x) - 2tan(x-1) + 4tan(x-1)sin^2(x)
We can use the identity tan(x) = sin(x)/cos(x) to simplify this expression further:
2tan(x-1)sin(x)cos(x) - 2tan(x-1) + 4tan(x-1)sin^2(x)
= 2sin(x)cos(x)/(cos(x-1)) - 2sin(x)/(cos(x-1)) + 4sin^2(x)/(cos(x-1))
Multiplying both sides of the equation by cos(x-1) gives:
2sin(x)cos(x) - 2sin(x) + 4sin^2(x)cos(x-1) = 2(1-2sin(x)cos(x))
Expanding the left-hand side of the equation gives:
2sin(x)cos(x) - 2sin(x) + 4sin^2(x)cos(x) - 4sin^2(x) = 2 - 4sin(x)cos(x)
Simplifying this equation gives:
4sin^2(x) - 2sin(x) - 2 = 0
This is a quadratic equation in sin(x), which can be solved using the quadratic formula.
What is the area of the region of points
satisfying the inequalities x ≤ 0, y ≤ 0, and
y ≥ |x + 4| − 5?
Answers
the area of the region of points satisfying the inequalities x ≤ 0, y ≤ 0, and y ≥ |x + 4| − 5 is 12.5 square units.
How does the jet stream affect weather around the world? For 100 points!!!
Answers
Answer:
How Do Jet Streams Affect Weather? The fast-moving air currents in a jet stream can transport weather systems across the United States, affecting temperature and precipitation. However, if a weather system is far away from a jet stream, it might stay in one place, causing heat waves or floods.
Step-by-step explanation:
Your answer is A
Simplify the following polynomial, then evaluate for x = -2 . 2x^2-4x+3x^2+x-7
Answers
Answer:
19
Step-by-step explanation:
first you would combine like terms to get 5x^2-3x-7. plug in -2 into the x's and you will get 19!
a. Write an equation for the trigonometric function represented by the graph below. b. Explain your thinking in identifying the equation.
Answers
Answer:
y = tan(2x)
Step-by-step explanation:
You want the equation corresponding to the graph of a trig function.
TangentThe general shape of the curve is that of the tangent function. This one has a period of π/2, which is half the period of the parent tangent function. Compressing the tangent function horizontally by a factor of 2 makes it ...
y = tan(2x)
A soccer team has 15 players and needs to choose a captain and an assistant captain. How many ways can those positions be selected?
Select one:
105
50
30
Answers
Answer:
30?
Step-by-step explanation:
I think its 30 because 15*2 is 30 but I really don't know im sorry
Evaluate 2 + 15 - C - 4, if c = 3.
A.-13
B.2
C.3
D.13
Answers
Good luck hope someone anwsers you
According to the empirical (69-95-99.7) rule, if a random variable z has a standard normal distribution, then approximately 95%
of all values fall between z-scores of -2 and 2. Use the standard normal table or software to determine the precise positive value
of z such that 95% of the area under the standard normal density curve is between -z and z. If you use software, you may find
this list of manuals useful.Give the positive value of z precise to two decimal places.
Answers
Using z-scores, it is found that the value of z is z = 1.96.
-----------------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean \(\mu\) and standard deviation \(\sigma\), is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. Each z-score has an associated p-value, which is the percentile.The normal distribution is symmetric, which means that the middle 95% is between the 2.5th percentile and the 97.5th percentile.The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.Thus, the value of Z is 1.96.A similar problem is given at https://brainly.com/question/16965597
Which function is the inverse of f(x) = -5x- 4?
Answers
Answer:
Inverse of \(- 5 x - 4 =\) \(\frac{x + 4}{5}\)
Step-by-step explanation:
Let y = -5x-4
Swap y and x
x = -5y -4
Solve for y
x+4 = -5y
\(y=- \frac{x + 4}{5}\) which is the inverse
Camila sets up a passcode on her tablet, which allows only nine-digit codes. A spy sneaks a look at Camila's tablet and sees her fingerprints on the screen over nine numbers. What is the probability the spy is able to unlock the tablet on his first try
Answers
The probability the spy is able to unlock the tablet on his first try is P = 1/362880
Given that,
Camila sets up a passcode on her tablet, which allows only nine-digit codes.
And, A spy sneaks a look at Camila's tablet and sees her fingerprints on the screen over nine numbers.
Hence, the total amount of different sequences that can be built using 9 digits is:
9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 362,880
Therefore, the probability the spy is able to unlock the tablet on his first try is,
P = 1/362880
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LSAT test scores are normally distributed with a mean of 150 and a standard deviation of 6. What score would place you in the top 2% of test-takers
Answers
Answer:
150 and standard deviation of 9. Queen s School of Business in Kingston, Ontario requires
Step-by-step explanation:
…………..
how would I write an equation?
and what would my x and y represent?
Answers
The equation is x + y=z. X represents the number of hours for tutoring, and Y represents the total cost for the tutoring session. The equation does not represent direct variation, as the hourly rate is a fixed rate, not a variable rate.
How to write an equation for any data? To write an equation for any given data, first identify the independent and dependent variables in the data set. The independent variable is the variable that is changed or manipulated, while the dependent variable is the variable that is observed or measured. Once the independent and dependent variables have been identified, the equation can be written using the dependent variable in terms of the independent variable. For example, if the data set contains a set of values for the independent variable x and the corresponding values for the dependent variable y, then the equation can be written as y = f(x). The function f(x) represents the relationship between the two variables and can be determined by plotting the data points and finding the best fit line or curve. This line or curve is the equation that describes the data set.To learn more about equation refer to:
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judith is planning a party for her younger brother
Answers
Answer:
COOL
Step-by-step explanation:
Select the interval(s) where the function is increasing:
f(x) = x ^ 4 - 5x ^ 2 - 3
(- 9.3, - 3)
(- ∞,- 1.5)
(0, 1.5)
(-1.5, 0)
(1.5, ∞)
(-∞, ∞)
(-9.3, ∞)
Answers
(-1.5, 0) and (1.5, ∞)
The heights of the starting players on each of two basketball teams are shown in the table below. Heights of Starters on Team A and Team B Team A 70 in. 72 in. 75 in. 68 in. 70 in. Team B 71 in. 73 in. 71 in. 72 in. 73 in. Jacob found that the mean height of Team A is 71 and the mean height of Team B is 72. He believes that because Team B has a greater mean, it also has a greater mean absolute deviation. Which explains Jacob’s error?
Answers
Answer:
The correct answer should be A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
can someone explain this question?
7/10 + 87/1v00
im not sure what 1v00 means. if it doesnt mean anything its prob a typo but if it does can anyone help?
Answers
Answer:
1 57/100
Step-by-step explanation:
Quick way:
Add a zero to the end of the denominator and numerator in 7/10 making it look like this:
70/100
Add the numerators of 87 and 70 together.
Result should be 157
Plug it into the denominator looking like this:
157/100
Convert to mixed fraction:
1 57/100
You are asked to examine a t-shirt that was worn when someone was suspected to have fired a gun. The
detective wants to see if there is gunshot residue on it. Which microscope will you use for this task? SOMEONE PLZZZZ HELP ME ON THIS!
Answers
Answer:
The scanning electron microscope
Step-by-step explanation:
The scanning electron microscope can determine the proximity to a discharging firearm and/or the contact with a surface exposed to GSR
NEED HELP ASAP WILL GHVE BRAINLEST AND TONS OF POINTS
Answers
The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively
How to calculate the value of the missing sides of the given triangle?Triangle PQS is congruent with triangle PRS
Therefore, PQ = PR
That is;
PQ = 8
PR = 2x
8 = 2x
X = 8/2 = 4
PR = 2(4) = 8
For ST;
Triangle VST = VUT
That is, TU = ST
ST = 5z
TU = 2z+3
5z = 2z+3
5z+2z = 3
z= 3/3 = 1
ST = 5(1) = 5
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A concert promoter must sell 1820 tickets for an upcoming concert. They can sell discount tickets for $40 each, and premium tickets for $45 each, but the total sales must equal $76,300. Let x be the number of discount tickets sold, and y be the number of premium tickets sold. Set up, and solve, the system of equations to find the number of tickets of each type sold.
Give your answer in the form (x, y)
Answers
Answer:
(x, y) = (1120, 700)
Step-by-step explanation:
You want the number of discount (x) and premium (y) tickets to be sold so that a total of 1820 tickets are sold for $40 and $45, respectively, and they generate revenue of $76,300.
EquationsThe equations reflect the relationships stated in the problem:
x + y = 1820 . . . . . . the total number of tickets sold is 1820
40x +45y = 76,300 . . . . . total sales must be $76,300
SolutionIt usually works well to substitute for the variable representing the lower-price tickets:
40(1820 -y) +45y = 76300 . . . . . . substitute for x using the first equation
5y = 3500 . . . . . . . . . . . . . . subtract 72800, simplify
y = 700 . . . . . . . . . . . . divide by 5
x = 1820 -700 = 1120
The numbers of tickets of each type sold are (x, y) = (1120, 700).
I AM BEGGING FOR HELPPPPPPLLLL
Answers
Answer:
It might be D not sure tho
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
There are 8 ounces in a cup. Multiply 8 three times and 3 three times and add those together. Divide the answer by 8.
solve the equation: x^2+3x-7=0 give your answer to 2 decimal places
Answers
Answer:
too hard for my little brain so bye
HELP!!
Calculate the residuals for your scatterplot in step 2d.
Answers
In statistics, a residual is defined as the difference between the predicted value of an outcome variable and the observed value of that variable. Residuals are used to evaluate how well a regression model fits the data.In order to calculate the residuals for a scatterplot, follow these steps:
Step 1: Plot the data on a scatterplot.
Step 2: Perform a regression analysis on the data to find the equation of the regression line. This equation should take the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.
Step 3: Using the equation of the regression line, calculate the predicted value of y for each data point in the scatterplot.
Step 4: Subtract each predicted value of y from the actual value of y for each data point in the scatterplot. This difference is the residual for that data point.
Step 5: Plot the residuals on a new scatterplot. The x-axis of this scatterplot should be the independent variable, and the y-axis should be the residual values.
Step6: This scatterplot is called a residual plot.Residuals are useful for identifying patterns in data that the regression model fails to capture. If the residuals are randomly scattered around the horizontal axis, then the regression model is a good fit for the data. If there are clear patterns in the residual plot, then the regression model may not be a good fit for the data and further analysis is required.
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A fence with 2 gates in it surrounds a lion enclosure.
Each gate is 4 m wide.
an image
What is the length of the fence around the enclosure not including the gates?
Answers
The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.
Let's assume the length of the rectangle is 'l' and the width is 'w'.
From the given data, we know that each gate is 4 m wide.
Therefore, the width of the rectangle is:
Width = w + (4 m + 4 m) = w + 8 m
The perimeter of the rectangle is:
P = 2l + 2(w + 8 m) = 2l + 2w + 16 m
Now, we need to subtract the combined length of the two gates from the perimeter:
P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m
So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
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Which of the following parent functions has a domain and range of all real
numbers?
A. Cubic
B. Reciprocal
C. Quadratic
D. Absolute value
Answers
Parent functions has a domain and range of all real numbers is a Cubic function
Given :
We need to find the parent function that has a domain and range of all real
numbers.
Domain is the set of all x values and range is the set of y values.
For any cubic function there is no restriction for x
For each value of x there is a y value
So, domain and range of cubic function is set of all real numbers
For reciprocal function , there will be x in the denominator . So there will be some restriction for x.
For any quadratic function , domain is set of all real numbers. For quadratic we get U shaped graph . It means there is some restriction for y.
So range cannot be real numbers
For absolute value function , we get V shaped graph . so there is some restriction for y. Range cannot be all real numbers.
parent functions has a domain and range of all real numbers is a Cubic function
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BC=
Round your answer to the nearest hundredth.
Answers
Answer:
1.71 = BC
Step-by-step explanation:
take 70 degree as reference angle
using cos rule
cos 70 = adjacent / hypotenuse
0.3420 = BC / 5
0.3420*5 = BC
1.71 = BC