Answer:
1) -\(\frac{3}{4}\)
Step-by-step explanation:
Between 1 whole, there are four lines in it. Thus:
4 lines --- 1 whole
1 line --- \(\frac{1}{4}\)
P is at the 3rd line from zero, so its value is \(\frac{1}{4}\) × 3 = \(\frac{3}{4}\)
Thus, the opposite of P would be -\(\frac{3}{4}\).
Answer:
-1/4
Step-by-step explanation:
This is your answer because when you turn the -1/4 to a decimal and you check it on the line it will give you the same point as P is.
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First try was incorrect
Lee wrapped 4 presents every 6 hours. At that rate, how many would
he wrap in 18 hours?
label optional
Answer:
27
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
6time 3=18 so 3 times 4 =12
An arborist is preparing the fuel mix for her chainsaw before climbing a tree to remove a dead limb. The two-stroke chainsaw
requires a 5% mix of engine oil to gas-that is, the amount of oil should be 5% of the amount of gas. How much engine oil should
be added to a jerry can that contains 3.8 gallons of gas?
(Type a whole number or a decimal)
Answer:
To determine the amount of engine oil needed, we need to find 5% of 3.8 gallons:
0.05 x 3.8 = 0.19
So, 0.19 gallons of engine oil should be added to the jerry can.
Given g(x)=-2x+2, solve for x when g(x)=8
Answer:
x=±3. Explanation: g(x)=2x2−10 g(x)=8. ie 2x2−10=8 2x2=18 x2=9 x=±3.
Step-by-step explanation:
A quiz had 20 questions. Andre scored 16 of them correctly. What was
Andre's percent score? *
Answer:
He got an 80 percent.
Step-by-step explanation:
A grove of redwood tree has an estimated 3,400,000 board feet of lumber at the
start of 2022. If redwoods grow at an exponential rate of 9% each year, then what
would be the growth formula? Within which year will the grove reach one billion board
feet of lumber?
The exponential growth formula is 3,400,000 x (1.09^t).
The year in which the grove would reach one billion board feet is 63.16 years.
What is the exponential growth formula?The exponential growth formula usually has this form:
FV = P (1 + r)^n
FV = Future growth P = Present growth R = rate of growthN = number of years3,400,000 x (1.09^t).
The year in which the grove would reach one billion board feet = (In 1,000,000,000 / 3,400,000) / 0.09 = 63.16 years
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Select the correct answer. Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel's savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin's account, at the same time, is modeled by function k. j(x) = 25 + 3x k(x) = 15 + 2x Which function correctly represents how much more money, in dollars, is in Joel's account than in Kevin's account x weeks after the start of the year? O A. (j − k)(x) = 40 + 5x (j − k)(x) = 40 + x (j-k)(x) = 10 + 5x (j-k)(x) = 10 + x O B. C. O D. Reset dtry Next
The correct answer is (j - k)(x) = 10 + x.
To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).
(j - k)(x) = (25 + 3x) - (15 + 2x)
= 25 - 15 + 3x - 2x
= 10 + x
This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.
Therefore, the correct function is (j - k)(x) = 10 + x.
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What's the point of putting parentheses in math problems. For example: (3 x 4) - (4 + 4) =
Answer:
idc
Step-by-step explanation:
A simple random sample of 32 men from a normally distributed population results in a standard deviation of 12.9 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normalâ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.
Required:
Identify the null and alternative hypotheses.
Answer:
Null Hypothesis, H0 = The pulse rates of men have a standard deviation equal to 10 beats per minute
Alternate Hypothesis, H1 = The pulse rates of men do not have a standard deviation equal to 10 beats per minute
Step-by-step explanation:
The null hypothesis is basically the problem statement i.e
Pulse rates of men have a standard deviation equal to 10 beats per minute
Hence, H0 = The pulse rates of men have a standard deviation equal to 10 beats per minute
The alternate hypothesis will contradict or negate the null hypothesis i.e
H1 = The pulse rates of men do not have a standard deviation equal to 10 beats per minute
Charlene operates an oil change and tune up service she chargers $33.95 per oil change a tune up is $72.50 for a four cylinder engine,$82.50 for a six cylinder engine and $92.50 for an eight cylinder engine what are the chargers for a week in which Charlene’s facility did 35 oil changes and tuned 5 four cylinder engines 7 six cylinder engines and 2 eig cylinder ht engines
5. Ingrid's
baby brother weighed 6
pounds 6 ounces when he was born.
He has gained 1 pound 3 ounces
since then. What is her baby brother's
current weight, in ounces?
Ingrid's baby brother's current weight in ounces is 102 + 19 = 121 ounces.
how to solve this equation?Ingrid's Baby brother weighed 6 pounds 6 ounces when he was born, which is equivalent to 6 x 16 + 6 = 102 ounces.
He has gained 1 pound 3 ounces since then, which is equivalent to 1 x 16 + 3 = 19 ounces.
by solving the equation.
Therefore, Ingrid's baby brother's current weight in ounces is 102 + 19 = 121 ounces.
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a triangles angles measures 87 degrees 32 degrees and 61 degrees. What type of triangle is this?
Answer:
Scalene
Step-by-step explanation:
Answer: Acute scalene triangle
A triangle with uneven degrees on all sides is known as a scalene triangle. Since none of the degrees are above 90, this triangle can also be described as acute.
Find the measure of each numbered angle !! (You don’t have to answer for all of them, I just need at least one )
Answer:
7. 123
8. 38
9. 68
10. 65
11. 113
12. 52
Step-by-step explanation:
Answer:
7) 123°
8) 38°
9) 68°
10) 65°
11) 113°
12) 52°
Assume that a sample is used to estimate a population proportion p. Find the 99% confidence interval for a sample of size 315 with 37% successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places.
Answer:
The 99% confidence interval is = 0.37 +/- 0.070
= (0.300, 0.440)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
p+/-z√(p(1-p)/n)
Given that;
Proportion p = 37% = 0.37
Number of samples n = 315
Confidence interval = 99%
z value(at 99% confidence) = 2.58
Substituting the values we have;
0.37 +/- 2.58√(0.37(1-0.37)/315)
0.37 +/- 2.58√(0.00074)
0.37 +/- 2.58(0.027202941017)
0.37 +/- 0.070183587825
0.37 +/- 0.070
= (0.300, 0.440)
The 99% confidence interval is = 0.37 +/- 0.070
= (0.300, 0.440)
graph the function. Then State the domain and range. Also increasing and decreasing
Answer:
See below, I will let graphing part to yourself.
Step-by-step explanation:
First function: domain: \([-9,\infty)\), range: \((-\infty, -2]\), decreasing
Second function: domain: \((-\infty, \infty)\), range: \((-\infty, \infty)\), increasing
Third function: domain: \([3, \infty)\), range: \([-5,\infty)\), increasing
Answer:
First function: domain: [-9,\infty)[−9,∞) , range: (-\infty, -2](−∞,−2] , decreasing
Second function: domain: (-\infty, \infty)(−∞,∞) , range: (-\infty, \infty)(−∞,∞) , increasing
Third function: domain: [3, \infty)[3,∞) , range: [-5,\infty)[−5,∞) , increasing
What is the total weight of candy in a 5/6 pound bag site
We can see here that the total weight of candy in a 5/6 pound bag site is 377 grams.
What is weight?Weight is a measure of the force exerted by gravity on an object. It is the measure of how heavy an object is. Weight is typically expressed in units such as pounds or kilograms. The weight of an object can vary depending on the gravitational force acting on it.
There are 16 ounces in a pound.
Thus, a 5/6 pound bag of candy weighs
5/6 × 16 = 13.3 ounces.
If you want to know the weight in grams, 13.3 ounces is equal to 377 grams.
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Please help me on this
Answer:
(b) 60.21ft^2
Step-by-step explanation:
Given
The attached triangle
Required
Number of square feet materials needed
This simply means that we calculate area;
\(Area = 0.5 * base * height\)
\(Area = 0.5 * (14ft\ 2in) * (8ft\ 6in)\)
Convert to ft [divide by 12]
\(Area = 0.5 * (14+ 2/12) * (8+ 6/12)\)
\(Area = 0.5 * (14.17) * (8.5)\)
\(Area = 60.23ft^2\)
(B) is correct
Complete the sentence that explains why Write an Equation is a reasonable strategy for solving this problem. Because the answer may be _________ the numbers in the problem.
Answer:
4 e
Step-by-step explanation:
dz6dxrx xrrx6 xz33x4xr4x xrx
117 Mr. Turtle, Mrs. Squirrel and Ms. Pigeon work at the Magic Forest's post office. Mr. Turtle can
deliver a package from the Southern Glade to the Northern Glade in 3 days, while Ms. Pigeon can
deliver it in 30 minutes. How much time will the same job take Mrs. Squirrel, if the ratio of Mr.
Turtle's time to the Mrs. Squirrel's time is the same as the ratio of Mrs. Squirrel's time to Ms.
Pigeon's time?
Using proportions, it is found that the same job will take Mrs. Squirrel 6 hours.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The times are given as follows:
Mrs. Squirrel: x.Mr. Turtle: 3 days.Mr. Pigeon: 30 minutes = Half an hour = 1/48 day.The ratios are as follows:
Turtle/Squirrel = Squirrel/Pigeon.
Hence:
\(\frac{3}{x} = \frac{x}{\frac{1}{48}}\)
\(x^2 = \frac{3}{48}\)
\(x^2 = \frac{1}{16}\)
\(x = \sqrt{\frac{1}{16}}\)
x = 1/4.
It takes 1/4 of a day for Mrs. Squirrel to do the job, hence 1/4 x 24 hours = 6 hours.
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The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 380 minutes, the monthly cost will be $173. If the customer uses 570 minutes, the monthly cost will be $249.
A) Find an equation in the form
y
=
m
x
+
b
,
where
x
is the number of monthly minutes used and
y
is the total monthly cost of the Splint plan.
Answer:
y
=
B) Use your equation to find the total monthly cost if 942 minutes are used.
Answer: If 942 minutes are used, the total cost will be
dollars.
The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
What is an equation?The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.
Part A:
Given:
customer uses 380 minutes, the monthly cost will be $173.customer uses 570 minutes, the monthly cost will be $249.To find an equation,
Where x is number of monthly minutes.
and y is total monthly of splint plan.
So, equation is:
\(\rightarrow \text{y} =\text{mx} +\text{b}\)
For the first case:
\(\rightarrow\bold{173 = 380x + b}\)
Second case:
\(\rightarrow\bold{249= 570x + b}\)
Solve for x:
\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)
\(\rightarrow{-207=-321\)
\(\rightarrow \text{x} =\dfrac{321}{207}\)
\(\rightarrow \text{x} =\dfrac{107}{69}\)
\(\rightarrow \text{x} \thickapprox1.55\)
For value of b
\(\rightarrow 173 = 380(1.55) + \text{b}\)
\(\rightarrow 173 - 589 = \text{b}\)
\(\rightarrow -416 = \text{b}\)
Part B:
\(\rightarrow \text{y} = 942(1.55) - 416\)
\(\rightarrow \text{y} = 1460.1 - 416\)
\(\rightarrow \text{y} \thickapprox1044\)
Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
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What is the greatest common factor of 8,16,40
Step-by-step explanation:
To find the greatest common factor (GCF) of 8, 16, and 40, we can determine the largest number that evenly divides all three of them.
Let's first find the prime factorization of each number:
- 8 = 2 * 2 * 2
- 16 = 2 * 2 * 2 * 2
- 40 = 2 * 2 * 2 * 5
Now, let's identify the common factors by finding the minimum exponent for each prime factor:
- 2 is a common factor with an exponent of 2 (appearing twice in the prime factorization of 8 and 16).
- 5 is not a common factor since it appears only in the prime factorization of 40.
The GCF is obtained by multiplying the common factors with their respective minimum exponents:
GCF = 2^2 = 4
Therefore, the greatest common factor of 8, 16, and 40 is 4.
She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $
.
im a boy im in 7th grade 13 years old and single i need some help
single too and 13 I can't help bc I ain't smart
Which is the graph of f(x) = {[}]*?-2-11 2 3 456-3-2-11234 5 632-3-2-11 2 3 4 5 63-3-2-112346
ANSWER
OPTION B
Given;
\(f\left(x\right)=\frac{3}{2}\left(\frac{1}{3}\right)^x\)The graph of the function is attached
Comparing the options with the solution graph, the right option is Option B.
The Y- intercept is;
\(y-intercept=(0,\frac{3}{2})\)Which function has the same range as | f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
g (x) = StartRoot x minus 3 EndRoot minus 8
g (x) = StartRoot x minus 3 EndRoot + 8
g (x) = negative StartRoot x + 3 EndRoot + 8
g (x) = negative StartRoot x minus 3 EndRoot minus 8
Answer:
it is c
Step-by-step explanation:
Based on the information given regarding the function, the correct option is C. g (x) = negative StartRoot x + 3 EndRoot + 8.
Interpretation of the function.It should be noted that a function simply means the relation from a set of inputs to a set of possible outputs.
In this case, the function that has the same range as | f (x) = negative 2 StartRoot x minus 3 EndRoot + 8 will be g (x) = negative StartRoot x + 3 EndRoot + 8.
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Select the correct answer.
68600
A) 6.86 × 104
C) 0.686 × 10²
B) 0.686 × 10¹
D) 6.86 x 10²
Answer:
A) 6.86×10⁴
Step-by-step explanation:
You want to write 68600 in scientific notation.
Expanded formThe number 68600 can be written in expanded form with exponents as ...
68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰
The left-most term of this sum tells you the exponent in scientific notation:
68600 = 6.86×10⁴
REVIEW OF ESSENTIAL SKILLS AND PROBLEM SOL
Examining a savings plan for college
David wants to attend a college that will cost $21,000 for the first year. His uncle gave him a special gift of $12,000 to use toward the cost. David plans to
attend the college in 5 years. How much must David save each month to have enough for the first-year cost?
5
Based on the above, David must save $150 each month to cover the money left over for his first year of college.
How to calculate what David's savings should be for the next 5 years for his first year of university?To calculate the savings that David must make monthly for the next 5 years we must carry out the following procedure:
His uncle gave him $12,000 so we must subtract this value from the total he needs.
$21,000 - $12,000 = $9,000So he must save $9,000 in 5 years.
$9,000 / 5 = $1,800$1,800 / 12 = $150According to the above, he must save $1,800 per year, so each month he should save $150.
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What is the rate of change seen in the graph below?
Answer:
zero
Step-by-step explanation:
This flat horizontal line is Y=1 has a slope (rate of change) of zero.
2x + 8 > -4. 2.find the solution set of x and express the solutions set in number form
The solution set of this inequality is {x| x > -6.1}
How to find the solution set?Here we have the inequality:
2x + 8 > -4.2
To find the solution set, we need to isolate the variable x in one of the sides of the inequality. Doing that we will get:
2x + 8 > -4.2
2x > -4.2 - 8
2x > -12.2
x > -12.2/2
x > -6.1
So the set of all numbers larger than -6.1, this in number form is:
{x| x > -6.1}
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You are interested in finding a 95% confidence interval for the mean number of visits for physical therapy patients. The data below show the number of visits for 11 randomly selected physical therapy patients. Round answers to 3 decimal places where possible.
13 5 10 11 26 20 18 18 24 23 5
a. To compute the confidence interval use a
t
Correct distribution.
b. With 95% confidence the population mean number of visits per physical therapy patient is between
and
visits.
c. If many groups of 11 randomly selected physical therapy patients are studied, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population mean number of visits per patient and about
percent will not contain the true population mean number of visits per patient.
For finding a 95% confidence interval:
a. To compute the confidence interval, use a t distribution with 10 degrees of freedom.b. With 95% confidence, the population mean number of visits per physical therapy patient is between 13.011 and 19.249 visits.c. About 95% of these confidence intervals will contain the true population mean number of visits per patient and about 5% will not contain the true population mean number of visits per patient.How to solve confidence interval?a) The sample mean is x = 16.13.
The sample standard deviation is s = 6.948.
The degrees of freedom are df = 10.
The critical value of t for a 95% confidence interval is t = 2.228.
The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.
The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).
b) The 95% confidence interval is (11.867, 20.393).
This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.
c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.
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The longer leg of a right triangle is 3 inches longer than the shorter leg. The hypotenuse is 6 inches longer than the shorter leg. Find the side lengths of the triangle.
Answer:
9,12,15
Step-by-step explanation:
I just looked at the different pythagorean triples and saw which set has a difference of 6 between the largest and smallest and a difference of 3 between the first and second one.
Here are the first few pythagorean triples:
3,4,5
6,8,10
7,24,25
5,12,13
9,12,15 - This is our answer
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