Answer: the range is 4
Step-by-step explanation:
shandra is working two summer jobs, making 12 per hour washing cars and making 24 per hour tutoring. in a given week, she can work at most 17 total hours and must earn at least 300. if shandra worked 3 hours washing cars, determine all possible values for the number of whole hours tutoring that she must work
Shandra must work at least 11 whole hours tutoring to meet the minimum requirement of Earning $300 in a given week.
She worked 3 hours washing cars, the total number of hours she can work in a week is given as:
3 hours washing cars + x hours tutoring = 17 hours
Now, we need to determine the minimum amount Shandra must earn, which is $300.
The amount she earns from washing cars is calculated as:
3 hours * $12/hour = $36
The amount she earns from tutoring is calculated as:
x hours * $24/hour = $24x
To meet the minimum requirement of earning $300, the total earnings from both jobs must be at least $300:
$36 + $24x ≥ $300
Now, we can solve this inequality to find the range of possible values for x.
$24x ≥ $300 - $36
$24x ≥ $264
Dividing both sides of the inequality by $24:
x ≥ $264 / $24
x ≥ 11
Therefore, Shandra must work at least 11 whole hours tutoring to meet the minimum requirement of earning $300 in a given week. if Shandra worked 3 hours washing cars, she must work at least 11 whole hours tutoring to meet the minimum requirement of earning $300. The range of possible values for the number of whole hours tutoring is 11 hours or more.
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A road is inclined at an angle of 6°. After driving 5,440 feet
along this road, find the driver's increase in altitude. Round to
the nearest foot.
The driver's increase in
altitude is ____ ft.
A. 5,410
B. 569
C. 52,043
D. 572
========================================================
Work Shown:
sin(angle) = opposite/hypotenuse
sin(6) = a/5440
5440*sin(6) = a
a = 5440*sin(6)
a = 568.634840176034
a = 569 feet, which shows why choice B is the answer.
This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5
side note: 569 feet is roughly equal to 0.1078 miles.
The driver's increase in altitude is 569 feet.
Given that,
A road is inclined at an angle of 6°.
After driving 5,440 feet along this road,
We have to determine,
The driver's increase in altitude?
According to the question,
A road is inclined at an angle of 6°.
After driving 5,440 feet along this road,
The inclination is determined by using the sin angle.
Therefore,
The driver's increase in altitude is,
\(\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\)
Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.
Substitute all the values in the formula,
\(\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet\)
Hence, The driver's increase in altitude is 569 feet.
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Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains outliers? a. mean b. median c. 2nd quartile d. 50th percentile
The least appropriate measure of central tendency for a data set that contains outliers is the mean. This is because the mean is calculated by taking the sum of all the values in the data set and dividing it by the number of values. This means that the mean is heavily influenced by outliers, as they are included in the calculation.
The median, 2nd quartile, and 50th percentile are all more appropriate measures of central tendency for a data set that contains outliers, as they are not affected by the presence of outliers. The median is calculated by taking the middle value of the data set, the 2nd quartile is calculated by taking the median of the upper half of the data set, and the 50th percentile is calculated by taking the value at the 50th percentile of the data set.
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Can someone please help me with this immediately. What is the length of A F¯¯¯¯¯
, in centimeters?
A. √384
B. √164
C. 10
D. 6
Net of a rectangular prism. 2 rectangles are 4 in by 2 in, 2 rectangles are 5 in by 4 in, and 2 rectangles are 2 in by 5 in.
We can actually see here that the net area of the rectangular prism is: 76 in².
What is net area?The net area refers to the total surface area of a two-dimensional shape when it is unfolded or laid flat. In other words, it is the sum of the areas of all the individual faces of the shape.
When a three-dimensional object is unfolded to create a flat pattern or net, each face of the object becomes a separate two-dimensional shape. The net area is calculated by adding up the areas of these individual shapes.
From the information given, we have:
2 rectangles are 4 in by 2 in
2 rectangles are 5 in by 4 in
2 rectangles are 2 in by 5 in
The net area of the rectangular prism is:
2(4 in × 2 in) + 2(5 in × 4 in) + 2(2 in × 5 in) = 16 in² + 40 in² + 20 in² = 76 in²
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What expressions are equivalent to 3x+5x+8 and 4x+4x
How do you convert decimals to inches?
To convert decimals to inches, you need to remember that 1 inch is equal to 2.54 centimeters. Therefore, you can use the conversion factor of 2.54 to convert decimals to inches.
For example, to convert 0.5 decimals to inches, you would multiply 0.5 by 2.54, resulting in an equivalent measurement of 1.27 inches.
Converting decimals to inches is a common task in various fields such as carpentry, engineering, and design. This process involves multiplying the decimal value by a conversion factor to obtain the equivalent measurement in inches. Here's a detailed explanation of the process:
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Under her cell phone plan, Jocelyn pays a flat cost of $35 per month and $5 per gigabyte. She wants to keep her bill under $55 per month. Use the drop-down menu below to write an inequality representing gg, the number of gigabytes she can use while staying within her budget.
A couple has $5,000 to invest and has to choose between three investment options.
• Option A: 2.25% interest applied each quarter
• Option B: 3% interest applied every 4 months
• Option C: 4.5% interest applied twice each year
If they plan on no deposits and no withdrawals for 5 years, which option will give them the largest
balance after 5 years? Use a mathematical model for each option to explain your choice. Share the
value of each investment.
Make sure you use the formula from the lesson for each option then compare. As an investment, you
want the option with the most money!
nt
A = P(1 +r )"nt
—
n
Write the equation of the line that passes through the points (-9,2) and (-2,8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y = 6/7x + 68/7
Step-by-step explanation:
-4^6•4^2/4^4
Simplify
Answer:
\(-4^{4}\)
Step-by-step explanation:
Reduce the expression -4^2×4^2
Calcualte the product and you get -4^4
If you want the alternative form is will be -256
Hope this helpsʕ•ᴥ•ʔ
For what duration of a second does the human eye perceive an image after looking away?
A.
one-twelfth
B.
one-fourteenth
C.
one-sixteenth
D.
one-tenth
E.
one-thirteenth
Answer:
B. One-fourteenth
Step-by-step explanation:
The afterimage may remain for 28 seconds or longer. The apparent size of the afterimage depends not only on the size of the image on your retina but also on how far away you perceive the image to be. When you look at your hand, you see the negative afterimage on your hand.
Math i need help with it please
Step-by-step explanation:
Given that it has a sunroof = 12 + 20 + 0 + 18 = 50
with 4 doors = 20
20/50 = 2/5 = .4
What is a algebraic expression for 1,10,19
The algebraic expression for the sequence 1, 10, 19, is given as a(n) = 1 + (n-1) 9.
What is algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
For the given sequence the common difference between two consecutive terms is 19 - 10 = 9.
The general form of the nth term of an arithmetic sequence is given as:
a(n) = a + (n-1) d
Since, the value of a = 1 and the common difference d =9, the resulting expression is:
a(n) = 1 + (n - 1) 9
Hence, the algebraic expression for the given sequence is a(n) = 1 + (n - 1) 9.
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The triangles shown below must be congruent. Help please
Solving equations with fractions- how do i solve this
Answer:
\(x=\frac{83}{36}\)
Step-by-step explanation:
1) Convert \(2\frac{1}{4}\) to improper fraction. Use this rule: \(a\frac{b}{c} =\frac{ac+b}{c}\).
\(x-\frac{2\times4+1}{4} = \frac{1}{18}\)
2) Simplify \(2\times4\) to 8.
\(x-\frac{8+1}{4} =\frac{1}{18}\)
3) Simplify \(8+1\) to 9.
\(x-\frac{9}{4} =\frac{1}{18}\)
4) Add \(\frac{9}{4}\) to both sides.
\(x=\frac{1}{18} +\frac{9}{4}\)
5) Simplify \(\frac{1}{18} +\frac{9}{4}\) to \(\frac{83}{36}\).
\(x=\frac{83}{36}\)
Decimal Form: 2.305556
Answer:
83/36
Step-by-step explanation:
x - 2 1/4 = 1/18
x = 1/18 + 9/4
L.C.M= 36,
x = 1x2/18x2 + 9x9/4x9
x = 2/36 + 81/36
x = 83/36
Decimal form = 2.305556
Bob lost 15 points on page one of his math test and he lost 4 points on page two of his math test. What operation would you use to find the total points lost on the test?
Answer: Addition
Step-by-step explanation:
You add up the 15 and the 4 lost points and you find out he lost a total of 19 points
it takes three identical water pumps 7 hours to fill a pool, how long would it take two of the same pumps to fill the pool, assuming they all pump at the same rate. please help
Answer:
10.5 hrStep-by-step explanation:
7 hr/3 pumps
So first we want to find the unit rate which would be...
5.25 hr/1 pump
Now that we found the unit rate we are going to multiply it by 2 because there are 2 pumps...
5.25*2=10.5
So our answer is 10.5 hr/ 2 pumps
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Who introduced judicial activism?
Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".
What is judicial activism?
Judicial activism is a judicial philosophy that is sometimes referred to as "legislating from the bench". It is an exercise of judicial review and generally refers to the willingness of a judge to strike down legislative or executive actions regarding constitutional issues. Judicial restraint is generally thought of as the opposite of judicial activism.[1]
Earlier in the january of 1947 ,Arthur Schlesinger Jr. introduced the term "judicial activism" .An article by Keenan Kmiec says that in its early usage, it was sometimes used with a positive connotation akin to the term "civil rights activist".
Thus , Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".
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Callie has 3,264 beads. She wants to divide the beads evenly to make 32 necklaces. How many beads will be
used for each necklace?
Answer:
102 beads will be used for each necklace.
Step-by-step explanation:
3,264/32=102
Week 3
Please answer with clear instructions so that i can apply this to other questions.
Answer:
Step-by-step explanation:
(6.8 x 10^-8) + (1.7 x 10^-6)
(0.068 x 10^-6) + (1.7 X 10^-6)
(0.068 + 1.7) x 10^-6
= 1.768 x 10^-6
First you have to convert the (6.8 x 10^-8) to be compatible with 10^-6 so you would move the decimal place 2 places to the right since -8 and -6 are 2 digits apart. Think of it like fractions, to add them they must have the same denominator.
Then once you have converted the 6.8 to 0.068 you can add it to the 1.7.
And now you have your final answer, 1.768 x 10^-6.
a metal box (without a top) is to be constructed from a square sheet of metal that is on a side by cutting square pieces of the same size from the corners of the sheet and then folding up the sides. find the dimensions of the box with the largest volume that can be constructed in this manner.
The maximum volume of the box that can be constructed from the square sheet of metal is V = (x/2)^2 * (x - 2(x/2)) = x^3/8.
How to calculate the maximum volume of the box?Let's assume that the original square sheet of metal has a side length of 'x'. We will cut squares of length 'y' from each corner of the sheet to form the metal box.
The length of the base of the box will be (x-2y) and its width will also be (x-2y), as two squares of length 'y' have been removed from each side of the square sheet. The height of the box will be 'y', as this is the size of the square that was cut out from each corner.
Therefore, the volume of the box can be expressed as V = (x - 2y)^2 y.
Taking the derivative of V with respect to y
dV/dy = 4y(x - 3y)(x - 2y)
Setting dV/dy to zero, we get:
4y(x - 3y)(x - 2y) = 0
This equation has three solutions: y=0, y=x/3, and y=x/2.
The first solution, y=0, corresponds to not cutting any squares from the corners of the sheet and therefore does not result in a box. The second solution, y=x/3, gives a volume of V=(x/3)^2(x-2x/3)=x^3/27, and the third solution, y=x/2, gives a volume of V=(x/2)^2(x-x)=x^3/4.
Therefore, the maximum volume of the box is obtained when y = x/2. In this case, the dimensions of the box are:
length = width = x - 2y = x - x = 0
height = y = x/2
However, since the box cannot have zero length or width, this means that the maximum volume occurs when y=x/2 is at the edge of the feasible region. Therefore, we should choose y=x/2 as the size of the squares to be cut out and the dimensions of the resulting box are:
length = width = x - 2y = x - x = 0
height = y = x/2
So, the maximum volume of the box that can be constructed from the square sheet of metal is V = (x/2)^2 * (x - 2(x/2)) = x^3/8.
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A conceptual model that helps strategists choose between seeking internal development, entering into an alliance, or acquiring new resources, capabilities, and competencies is called the " framework. a) build-borrow-or-buy b) organic growth c) internal-versus-external growth d) capability development
Build-borrow-or-buy.
The build-borrow-or-buy framework is a conceptual model used by strategists to help them decide whether to build capabilities internally, borrow them through partnerships and alliances, or buy them through mergers and acquisitions. The framework helps organizations identify the most efficient and effective way to acquire the resources, capabilities, and competencies they need to achieve their strategic goals. It is a useful tool for decision-making when considering growth strategies, and can help managers evaluate the costs, risks, and benefits of each option.
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(a) build-borrow-or-buy. This framework helps strategists decide whether to pursue internal development, enter into an alliance, or acquire new resources, capabilities, and competencies.
the build-borrow-or-buy framework suggests that companies have three options when it comes to acquiring new resources and capabilities. First, they can build or develop these resources and capabilities internally through investments in research and development or employee training. Second, they can borrow or enter into strategic alliances with other companies to gain access to new resources and capabilities. Finally, they can buy or acquire companies that already possess the desired resources and capabilities.
the build-borrow-or-buy framework provides a structured approach for companies to evaluate their options when it comes to acquiring new resources and capabilities. By considering the pros and cons of each option, companies can make more informed decisions that align with their strategic goals and objectives.
The build-borrow-or-buy framework is a conceptual model that helps strategists decide whether to seek internal development (build), enter into an alliance (borrow), or acquire new resources, capabilities, and competencies (buy). This model assists organizations in evaluating their options for growth and resource allocation based on their strategic goals and objectives.
the build-borrow-or-buy framework is a valuable tool for strategists when choosing between internal development, alliances, or acquisitions to achieve their organization's growth and resource needs.
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If the slope is -4/3 and the ordered pair is 3,-5 what is the equation?
Answer:
y=-4/3x-4
Step-by-step explanation:
y=mx+y intercept <--- formula i used
If a sphere has a volume of 36π cubic inches, what is its radius?
radius = ___ inches
The radius of the sphere is approximately 3.634 inches.
We have,
The formula for the volume of a sphere is:
V = (4/3)πr³
where V is the volume of the sphere and r is its radius.
We know that the volume of the sphere is 36π cubic inches.
Substituting this value into the formula, we get:
36π = (4/3)πr³
Multiplying both sides by 3/4π, we get:
r³ = (36π)/(3/4π) = 48
Taking the cube root of both sides.
r = (48)^(1/3)
r = 3.634 inches (rounded to three decimal places)
Therefore,
The radius of the sphere is approximately 3.634 inches.
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Write an equation in the form ax? + bc+c=0 if the roots are r1= - 7 and r2 = -5
Answer:
A
Step-by-step explanation:
What is the slope of the line on the graph?
Enter your answer in the box.
Answer:
m = -2
Step-by-step explanation:
because of rise/run you can simply see the slope
Under what circumstances is a score that is located 5 points above the mean a central value, relatively close to the mean?
a. When the population standard deviation is much less than 5
b. When the population mean is much less than 5
c. When the population mean is much greater than 5
d. When the population standard deviation is much greater than 5
The circumstance that the score is located 5 points above the mean a central value, relatively close to the mean is when the population standard deviation is much greater than 5.
What is the standard deviation?Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.
Here, we have
The circumstance is a score that is 5 points above the mean considered a central value.We have to find under what circumstances is a score that is 5 points above the mean considered a central value--meaning it is relatively close to the mean.
We concluded from the above statement that when the population standard deviation is much greater than 5.
Hence, when the population standard deviation is much greater than 5 then, the score that is 5 points above the mean is considered a central value.
Therefore, the correct option is D.
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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y= 4√, y=3, and 2y+2x=6
To sketch the region enclosed by the given curves and determine whether to integrate with respect to x or y, let's analyze each curve and their intersection points.
Curve 1: 2y = 4√x
This curve represents a parabola opening upwards. By squaring both sides of the equation, we get 4y² = 16x, which simplifies to y² = 4x. This means that y is equal to the positive and negative square root of 4x. The curve extends from x = 0 to x = 4, where y is non-negative.
Curve 2: y = 3
This is a horizontal line located at y = 3. It extends infinitely in both directions.
Curve 3: 2y + 2x = 6
This is a linear equation representing a straight line. By rearranging the equation, we have y = 3 - x. This line passes through the point (0, 3) and (3, 0).
To find the area of the region enclosed by these curves, we need to determine the limits of integration. Since the region is bounded by curves 1 and 2, we integrate with respect to x. The limits of integration are x = 0 (where the curves intersect) and x = 4.
Using the formula for area, the area of the region is given by the integral:
A = ∫[0,4] (Curve 1 - Curve 2) dx
Plugging in the equations for Curve 1 and Curve 2, we have:
A = ∫[0,4] (4√x - 3) dx
Evaluating this integral will give us the area of the region enclosed by the given curves.
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A researcher claims that the percentage of infants who receive immunizations is less than 80%. They select a sample of size 900 infants and 693 have received immunizations. a. State the null and alternative hypotheses. b. Compute the test statistic (z value). c. Compute the P-value. d. What conclusion should be made at a 5% significance level?
The results of given question's parts based on hypothesis testing.
a) Null and Alternative hypothesis
H₀ : p = 0.8
H₀ : p = 0.8 Hₐ : p < 0.8
b) test statistic (z value ) is Z = -2.25.
c) P- value ( Z꜀ ) is - 1.64
d) Rejected the null hypothesis.
We have given that
Sample size, n = 900
Hypothesis population proportion, p₀ = 0.80
Sample proportion , p-hat = 0.77
favourable cases, X = 693
significance level, α = 0.05
a) The following null and alternative hypothesis for population proportion needs to be tested :
H₀ : p = 0.8
Hₐ : p < 0.8
This is corresponding to a left tailed test for a z test for one population will used .
c) we have given that, Significance level is α=0.05 and the critical value for a left tailed test is Z꜀ = - 1.64
so, the rejection region for left tailed test R = { Z Z<- 1.64 }
b) Z- statistic value :
Z = (p-hat - p₀)/√p₀(1-p₀)/n
=> Z = ( 0.77 - 0.8 )/√0.8×0.2/900
=> Z = -2.25
d) Decision about Null hypothesis,
Since, it is observed that Z = - 2.25 < Z꜀ = - 1.645 it is then concluded that the null hypothesis is rejected. Reject the null hypothesis. There is not enough evidence to conclude that the percentage of infants who receive immunization s is less than 80%.
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