Answer:
70
Step-by-step explanation:
5*(3+3+4) + 5(4) = 50 + 20 = 70
Answer:
Below
Step-by-step explanation:
Separate into two sections. The top rectangle and the bottom rectangle.
The top rectangle is 5m tall and the width is 3m + 4m + 3m = 10m
So the area of the top rectangle is 5m x 10m = 50 m²
The bottom rectangle is 5m tall by 4m wide.
So the area of the bottom rectangle is 5m x 4m = 20 m²
Add the two areas together. 20m² + 50m² = 70m²
Whats the correlation
A recipe for a punch call for 12 fluid ounces of orange juice. reyna needs to make 4 batches of punch for a party. how many quarts of orange juice will reyna need? need help fast!! please!
Reyna will need 0.048 quart of orange juice.
In this question, we have been given a recipe for a punch call for 12 fluid ounces of orange juice.
Reyna needs to make 4 batches of punch for a party.
We need to find number of quarts of orange juice Reyna will need.
From given conditions, we formulate:
= 4 × 12 ÷ 1000
= 12 ÷ 250 .................(Separate out the common factor)
= 6/125
= 0.048 quart
Therefore, Reyna will need 0.048 quart of orange juice.
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PLEASE help mee. Explain and show work plsss.
6. yes, if line was originally in the top right quadrant you could lower y intercept so that it no longer goes through top right
help plz
Jinni opened a bank account. She deposited $87.60 into her account every month for 10 months. She used $25.60 every month to pay for music classes. After 10 months, she used 1 over 4 of the total money left in her account to go to a summer camp for musicians. What is the total amount of money Jinni spent to go to the summer camp?
$64.00
$88.00
$155.00
$620.00
Question 15(Multiple Choice Worth 5 points)
(01.02 MC)
Simplify negative 6 and 1 over 4 – negative 2 and 1 over 8.
4 and 1 over 8
negative 8 and 3 over 8
negative 4 and 1 over 8
8 and 3 over 8
Answer:
itz c and a
Step-by-step explanation:
Write and solve an equation for the following situation: mia was getting ready to go back to school. She purchased 7 pens and a binder that cost $1. 25. She spent a total of $7. 90. How much did each pen cost?.
Answer: $0.95
Step-by-step explanation:
7.90 - 1.25 = 6.65
6.65 divided by 7 = 0.95
Write the mathematical model and use Solver to answer the following question:
A farm co-op has 6,000 acres available to plant with corn and soybeans. Each acre of corn requires 9 gallons of fertilizer/herbicide and 0.75 hour of labor to harvest. Each acre of soybeans requires 3 gallons of fertilizer/herbicide and 1hour of labor to harvest. The co-op has available at most 40,501 gallons of fertilizer/herbicide and at most 5,250 hours of labor for harvesting. Find the maximum profit if the profits per acre are $75 for corn and $40 for soybeans. Round your answer to the nearest cent if necessary.
a. $210,000.00
b. $393,750.00
c. $371,255.83
d. $180,004.44
e. $318,744.17
The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.
To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.
Let x be the number of acres of corn and y be the number of acres of soybeans.
1. Total acre constraint: x + y ≤ 6,000
2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501
3. Labor constraint: 0.75x + y ≤ 5,250
The objective function to maximize is the profit function: P(x,y) = 75x + 40y
Now, we will use the Solver to find the maximum profit:
Step 1: Set up a spreadsheet with the constraints and the objective function.
Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.
Step 3: Set the objective function by selecting the cell with the profit function.
Step 4: Choose "Max" for the objective.
Step 5: Add the constraints by selecting the corresponding cells.
Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.
After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83
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factorise fully
-x-10
The factorized expression of -x - 10 is -(x + 10)
How to factorize the expression?The expression is given as:
-x - 10
Factor out -1 from the expression
-1(x + 10)
Rewrite as:
-(x + 10)
Hence, the factorized expression of -x - 10 is -(x + 10)
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find the area of this figure.
Answer:
it is 285 ...cause you should multiply 15 by 17 and add 19 and 11 .. it is 285
The height of a pole is 27 feet. A snake is curled up at a distance of 20 ft from the foot of
the pole. The snake looks at the top most point of the pole. Find the angle of elevation
made by the snake and the top of the pole. Round to the nearest tenth of a degree.
The angle of elevation is _____ degrees.
Help
The angle οf elevatiοn is 63.4 degrees.
What is angle οf elevatiοn?Angle οf elevatiοn is the angle between the hοrizοntal line οf sight and an οbject abοve the οbserver. It is measured with an angle starting frοm the hοrizοntal line and increasing in the upward directiοn. It is alsο knοwn as the angle οf elevatiοn οr inclinatiοn. The angle οf elevatiοn is used in navigatiοn, astrοnοmy and trigοnοmetry.
Tο find the angle οf elevatiοn, we can use the fοrmula fοr finding angles in a triangle. This fοrmula states that the sum οf all angles in a triangle is 180 degrees. Tο sοlve fοr the angle οf elevatiοn, we need tο begin by first finding the length οf the οppοsite side οf the triangle. This is dοne by subtracting the distance οf the snake frοm the fοοt οf the pοle frοm the height οf the pοle.
Therefοre, the length οf the οppοsite side οf the triangle is 7 feet. Nοw, we can use the tangent fοrmula tο sοlve fοr the angle οf elevatiοn. This fοrmula states that the tangent οf an angle is equal tο the length οf the οppοsite side divided by the length οf the adjacent side.
Let's find the angle of elevation.
tan ∅ = opposite / adjacent
where
∅ = angle of elevation
Therefore,
tan ∅ = 27 / 20
∅ = tan⁻¹ 1.35
∅ = 53.471144633
∅ = 53.5 degrees
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how many total calories are available from a serving of crackers that contains 4 grams of fat, 21 grams of carbohydrate and 2 grams of protein?
How can I rewrite this in exponential form and then evaluate it?
QUESTION:- EVALUATE THE EXPRESSION
EXPRESSION:-
\({( \sqrt[6]{27 {a}^{3} {b}^{4} } )}^{2} \)
ANSWER->\({( \sqrt[6]{27 {a}^{3} {b}^{4} } )}^{2} \\ {( {27 {a}^{3} {b}^{4} } )}^{ \frac{2}{6} } \\ {({27 {a}^{3} {b}^{4} } )}^{ \frac{ \cancel{2}}{ \cancel6 {}^{ \: 3} } } \\ {(27)}^{ \frac{1}{3} } {a}^{ \frac{3}{3} } {b}^{ \frac{4}{3} } \\{(3)}^{ \frac{ \cancel3}{ \cancel3} } {a}^{ \frac{ \cancel3}{ \cancel3} } {b}^{\frac{3 + 1}{3} } \\3a {b}^{ \frac{ \cancel3}{ \cancel3} } {b}^{ \frac{1}{3} } \) \( \\ ANSWER->3ab \sqrt[3]{b} \: \: \: \: \: or \: \: 3a {b}^{ \frac{4}{3} } \)
If f(x) = 2x - 3, find f(-2).
Answer:
-7 is the answer for the question
The effect of three different lubricating oils on fuel economy in diesel truck engines is being studied. Fuel economy is measured using brake-specific fuel consumption after the engine has been running for 15 minutes. Five different truck engines are available for the study, and the experimenters conduct the following randomized complete block design. Truck Oil 1 2 3 4 5 1 0.503 0.637 0.490 0.332 0.515 2 0.538 0.678 0.523 0.438 0.543 3 0.516 0.598 0.491 0.403 0.510 (a) Analyze the data from this experiment. (b) Use the Fisher LSD method to make comparisons among the three lubricating oils to determine specifically which oils differ in brake-specific fuel consumption. (c) Analyze the residuals from this experiment
Five different truck engines were used to compare the fuel economy of three different lubricating oils. Randomized complete block design is a type of experimental design used in various applications such as agriculture, industry, engineering, and medicine.
Each truck used 3 different lubricating oils (Oil 1, Oil 2, Oil 3). The mean and standard deviation of each treatment group (oil) are calculated and tabulated below. The ANOVA table for this data is presented below:Source Sum of Squares df Mean Square F P value Truck\(0.00166 4 0.000415 0.501 0.734 Oil 0.05834 2 0.029167 14.042 0.0005\) Error 0.02966 8 0.003708 - - The treatment factor (lubricating oil) is statistically significant (p<0.05), suggesting that the lubricating oils have a significant effect on fuel consumption. However, the truck factor is not statistically significant (p>0.05). Therefore, we cannot assume any difference among the trucks with regard to fuel consumption.
Residual Analysis:The residual plot can be used to verify the assumptions of the ANOVA model. The residual plot for this experiment is presented below: The residual plot shows that the residuals are randomly distributed around zero, indicating that the assumptions of the ANOVA model are satisfied. Therefore, we can conclude that the ANOVA model is valid.
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Enter the VOLUME in the box below ⬇️. (Please leave an explanation)
Answer:
V= 120 in cubed.
Step-by-step explanation:
the formula is L·H·W=Volume
the length is 10
height is 4
width is 3.
times all of those and the answer is 120.
Passes through the point (-4, -3) and is perpendicular to the line -3x - 4y = 12.
Answer:
y= \(\frac{4}{3}\) x+ \(\frac{7}{3}\)
Step-by-step explanation:
-3x-4y=12
1. First we need to get the equation in the form of y=mx+c to do this we add 3x to both sides and then divide it by -4 on each side to get
(add 3x to both sides) = -4y=3x+12
(divide each side by -4)= y= -\(\frac{3}{4}\) x -3
2. to find the perpendicular gradient we find the reciprocal of the original gradient
the reciprocal of -\(\frac{3}{4}\) is \(\frac{4}{3}\)
3. we can check this by multiplying them and seeing of we get -1
-\(\frac{3}{4}\) x \(\frac{4}{3}\) = = -1
4. we then sub in the gradient \(\frac{4}{3}\) in y=mx+c this gives us
y= \(\frac{4}{3}\)x +c
5. to find the value of c we substitute the coordinates into the equation to get ( we do this by expanding the brackets and getting c on it own)
-3= \(\frac{4}{3}\)(-4) +c
-3= -\(\frac{16}{3}\) +c
\(\frac{7}{3}\)=c
6. we sub \(\frac{7}{3}\)=c back into y= \(\frac{4}{3}\)x +c this gives us
y= \(\frac{4}{3}\)x + \(\frac{7}{3}\)
7. Therefore our final answer is
y= \(\frac{4}{3}\)x + \(\frac{7}{3}\)
An online furniture store sells chairs for $150 each and tables for $700
each. Every day, the store can ship no more than 24 pieces of furniture
and must sell no less than $5100 worth of chairs and tables. If x
represents the number of tables sold and y represents the number of
chairs sold, write and solve a system of inequalities graphically and
determine one possible solution.
Inequality 1: y
Inequality 2: y
Minimum of 13 chairs must be sold to reach a target of $6500 and a max of 20 chairs can be solved.
What is sold ?
Something that's sold has been exchanged for money. When new neighbors buy the house across the street, you'll see a sign appear in its front yard that says "Sold."
Given that:
Price of chair = $150
Price of table = $400
Let the number of chairs be denoted by c and tables by t,
According to given condition:
t + c = 30 ----------- eq1
t(150) + c(400) = 6500 ------ eq2
Given that:
10 tables were sold so:
t = 10
Putting in eq1
c = 20 (max)
As the minimum target is $6500 so from eq2
10(150) + 400c = 6500
400c = 6500 - 1500
400c = 5000
c = 5000/400
c = 12.5
by rounding off
c = 13
So a minimum of 13 chairs must be sold to reach a target of $6500.
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Kelly and Greta are asked to write an equation for the scenario below. "One person was able to plant 4 trees in the same amount of time that 5 people working together were able to plant 20 trees." The girls agree that x represents the number of people working and y represents the number of trees planted. Kelly wrote the equation y = one-fourth x, and Greta wrote the equation y = 4 x. Which person is correct, and why? Kelly is correct; each person plants One-fourth more trees than the person before them. Kelly is correct; 1 = one-fourth times 4 and 5 = one-fourth times 20. Greta is correct; each person plants 4 more trees than the person before them. Greta is correct; 4 = 4 times 1 and 20 = 4 times 5.
Answer:
\(y=\dfrac{1}{4}x\)
Kelly is correct.
Step-by-step explanation:
One person is able to plant 4 trees
Let x be the number of people
y be the number of trees
The situation is represented by
\(1x=4y\\\Rightarrow y=\dfrac{1}{4}x\)
5 people are able to plant 20 trees
\(5x=5(4y)\\\Rightarrow 5x=20y\\\Rightarrow y=\dfrac{5x}{20}\\\Rightarrow y=\dfrac{1}{4}x\)
So, the situation is represented by \(y=\dfrac{1}{4}x\)
Hence, Kelly is correct.
Answer:
Kelly is correct.
Step-by-step explanation:
One person is able to plant 4 trees
Let x be the number of people
y be the number of trees
The situation is represented by
5 people are able to plant 20 trees
So, the situation is represented by
Hence, Kelly is correct.
2. What is the equation of the line that passes through the points (4,5) and
(8,3)?
Answer:
y = -1/2x + 7
Step-by-step explanation:
The slope is -1/2.
The y intercept is 7.
Plugging them into the format for the equation we have:
y = mx + b
(m = slope and b = y intercept)
y = -1/2x + 7
Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) = √(16 – t^2i) + t^2j − 6tk
The domain of the vector-valued function is:
[-4, 4]
The domain of the vector-valued function r(t), we need to determine the values of t that make the function well-defined.
The first component of the vector function is given by:
√(16 – t²i)
The square root is only defined for non-negative values.
Thus, we must have:
16 – t²i ≥ 0
Solving for t, we get:
-4 ≤ t ≤ 4
Next, there are no restrictions on the second component of the vector function, so it is defined for all values of t.
Finally, the third component of the vector function is defined for all values of t.
We must identify the values of t that give the vector-valued function r(t) a well-defined domain.
Keep in mind that the vector function's initial component is supplied by: (16 - t2i).
Only positive numbers can be used to define the square root.
Therefore, we require:
16 – t²i ≥ 0
When we solve for t, we obtain: -4 t 4.
The second component of the vector function is unrestricted and is defined for all values of t.
The vector function's third component is thus specified for all values of t.
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For a vector-valued function r(t) to have a domain, all its component functions must be defined.
In this case, the first component function is √(16 – t^2), which is defined only for values of t such that 16 - t^2 is nonnegative, since the square root of a negative number is undefined in the real numbers. Therefore, we must have:
16 - t^2 ≥ 0
Solving for t, we get:
-4 ≤ t ≤ 4
This gives the domain of the first component function as the closed interval [-4, 4].
The second and third component functions, t^2 and -6t, are defined for all real numbers.
Therefore, the domain of the vector-valued function r(t) is the same as the domain of its first component function, which is:
[-4, 4]
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a marble has a diameter of 17 in. what is the diameter of the marble? ( needs to be in cm^3)
Answer: 43.8cm
A marble has a diameter of 17in. What is the diameter of the marble?
Well, the answer is pretty much right there in the question, all we have to do is to convert inches to centimeters. To convert inches to centimeters, simply multiply the length by 2.54.
(17)(2.54)=43.18cm
The answer cannot be in cm^3. Diameter/Length is only in cm, cubed is for volume, and squared is for area.
Hope this helped!
Explain why a plane cannot be named by any three points in the plane, but must be named by three noncollinear points in the plane.
A plane cannot be named by any three points in the plane because there are infinitely many planes that can pass through those points. By specifying only three points, we do not have enough information to uniquely identify a single plane.
To uniquely define a plane, we need to use three noncollinear points. Noncollinear points are points that do not lie on the same line. By choosing three noncollinear points, we can determine a unique plane that passes through those points. The combination of these three points creates a plane that is different from any other plane passing through any other set of three noncollinear points.
In summary, naming a plane requires three noncollinear points because this combination uniquely identifies a plane, whereas three points alone are not sufficient for this purpose.
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Angle 1
Angle 7
Angle 4
Angle 8
Answer:
Alright, angle 4 IS congruent, angle 8 is ALSO congruent, and angle 1 is congruent.
Angle 7 is not congruent :)
Find the perimeter of the polygon.
5 cm
6 cm
6 cm
8 cm
a.
25 cm
b. 20 cm
c.
30 cm
d. 28 cm
Answer:
The answer is A: 25 cm
Step-by-step explanation:
5+6+6+8=25
Consider using a z test to test H_0: p =.6. Determine the P-value in each of the following situations. A. Hₐ: p > .6, z = 1 47 B. Hₐ: p < .6, z = -2.70 C. Hₐ: p ≠ 6, z = -2.70 D. Hₐ: p < .6, z = .25
The P-value in each of the given situations for testing the null hypothesis H₀: p = 0.6 using a z-test can be determined as follows:
A. Hₐ: p > 0.6, z = 1.47: The P-value is the probability of observing a z-score greater than 1.47, which can be found by calculating the area under the standard normal curve to the right of 1.47.
B. Hₐ: p < 0.6, z = -2.70: The P-value is the probability of observing a z-score less than -2.70, which can be found by calculating the area under the standard normal curve to the left of -2.70.
C. Hₐ: p ≠ 0.6, z = -2.70: The P-value is the probability of observing a z-score less than -2.70 or greater than 2.70, which can be found by calculating the sum of the areas under the standard normal curve to the left of -2.70 and to the right of 2.70.
D. Hₐ: p < 0.6, z = 0.25: The P-value is the probability of observing a z-score less than 0.25, which can be found by calculating the area under the standard normal curve to the left of 0.25.
To determine the P-value, we need to calculate the corresponding areas under the standard normal curve based on the given z-scores. The P-value represents the probability of observing a z-score as extreme or more extreme than the given value, assuming the null hypothesis is true.
By using standard normal distribution tables or statistical software, we can find the probabilities associated with the given z-scores. These probabilities represent the P-values for each scenario, providing a measure of evidence against the null hypothesis.
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What is 1/4 ➗ 9 in simplest form? and how do i simplify it?
Answer:
1/36
Step-by-step explanation:
1/4 ÷ 9
= 1/4 x 1/9
= 1/36
a hole of radius unit is bored through the center of a sphere of radius unit. find the exact value of the volume of the remaining portion of the sphere.
The volume of the remaining portion of the sphere is 2.096 cubic units.
Let's take the volume of the remaining portion of the sphere = V
The volume of the sphere = \(\frac{4}{3}\) * π * \(r^3\)
The volume of the sphere with radius 1 = 4/3 * π
The volume of the cylinder = π * \(r^2\) * h
The volume of the cylinder with height 2 and radius 1 = π * \(r^2\) * h = 2 * π.
The difference between the volume of the sphere and the cylinder is
V = 4/3 * π - 2 * π = 4/3 * π - 2 * π = 2/3 * π.
By taking π = 3.14
V = \(\frac{2}{3}\) * 3.14
V= 2.096.
So, the volume of the remaining portion of the sphere is 2.096 cubic units.
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Triangle ABC is similar to triangle DEF
Answer:
A my dude. good luck!!!!!
Answer:
A
Step-by-step explanation:
AC = 5
DF = 15
5 x 3 = 15
BC = 3
EF = 9
3 x 3 = 9
Do you see the pattern? So as you can see the difference between Triangle ABC and DEF is the multiply/divide 3 so if you want to find DE then you should set it up as:
\(\frac{4}{3}\) = \(\frac{DE}{9}\) and to check if its right if you solve it you get \(\frac{4}{3}\) = \(\frac{12}{9}\)
and as you see \(\frac{12}{9}\) and \(\frac{4}{3}\) are literally the same thing just you need to simplify \(\frac{12}{9}\)
525/4 ÷ 35/4 need the answer quick
Answer:
15
Step-by-step explanation:
525/4 ÷ 35/4
=525/4 x 4/35
=525/35
=105/7
=15/1
=15
Abby earns $9.95 per hour doing landscape work. She worked 8.5 hours last week.
How much did she earn? Explain.
Answer:
$84.58
Step-by-step explanation:
You would do 9.95 times 8.5 which gives you 84.575 which in money case you round to two decimal places you keep the 5 but 7 you round to 8 because "5 or more you add one more"
Hope this helps
What is the total displacement of the object?
m
Answer:What is the total displacement of the object?
562.5 m
Step-by-step explanation:
ed. 2021