Step-by-step explanation:
1.RamanA/c dr.6000
to sale a/c 16000
2.cash a/c.6000
to remain 6000
if elf =gjh ef=12 and Lf=7.8 find ij
Answer:
IJ= 4.98
Step-by-step explanation:
EF = 12
KF = 6
LF = 7.8
LK = sqrt(7.8^2-6^2) = 4.98
IJ = LK (4.98)
the equation p=52+0.04w models relation between the amount of water bill payment p in dollars and the number of units of water w in slope of equation
The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.
Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.
This means that the slope represents the incremental cost of each additional unit of water.
In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.
This indicates a constant rate of increase in the water bill for each additional unit of water used.
It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.
Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.
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The probable question may be:
What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?
Help me!
“Average cost of a dozen oranges was $1.72 in October 2020 and $5.59 in October 2021. What is the percent increase in the average cost of a dozen oranges from October 2020 to 2021?”
Answer:
The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.
Step-by-step explanation:
To find the percent increase in the average cost of a dozen oranges from October 2020 to 2021, we need to first calculate the difference in the average cost and then divide it by the original average cost, and finally multiply by 100 to get the percentage increase.
The difference in the average cost of a dozen oranges between October 2020 and October 2021 is:
$5.59 - $1.72 = $3.87
To calculate the percent increase, we need to divide the difference by the original average cost and multiply by 100:
Percent increase = (difference/original average cost) x 100
Percent increase = ($3.87/$1.72) x 100
Percent increase = 224.41%
Therefore, the percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 224.41%.
Step by step (for more help understanding):
The problem states that the average cost of a dozen oranges was $1.72 in October 2020 and $5.59 in October 2021. We need to find the percent increase in the average cost from October 2020 to October 2021.
Step 1: Find the difference in the average cost
To find the difference in the average cost, we subtract the original average cost from the new average cost.
$5.59 - $1.72 = $3.87
This means that the average cost of a dozen oranges increased by $3.87 from October 2020 to October 2021.
Step 2: Find the ratio of the difference to the original cost
To find the percentage increase, we need to express the difference as a percentage of the original cost. We do this by dividing the difference by the original cost.
$3.87 / $1.72 = 2.25
This means that the new average cost is 2.25 times the original average cost.
Step 3: Convert the ratio to a percentage
To convert the ratio to a percentage, we multiply it by 100.
2.25 x 100 = 225%
Step 4: Round the percentage to one or two decimal places
Finally, we round the percentage to one or two decimal places, depending on the level of accuracy required.
The percent increase in the average cost of a dozen oranges from October 2020 to October 2021 is approximately 225%.
Hope this helps, If not I'm sorry. If you need more help, ask me! :]
What is the volume of this sphere, rounded to the nearest WHOLE
NUMBER?
Answer:
B
Step-by-step explanation:
V = (4/3) pi r^3
V = 1.333 * 3.14 * 11^3
11^3 = 1331
V = 1.333 * 3.14 * 1331
V = 5572
James makes $15 per hour. He works 40
hours per week. He gets paid every week. If
he has to pay 10% for FICA, 7.5% for Social
Security, and 2.9% for Medicare, what is his
take home pay or his Net Income?
Answer:
i got 485!
Step-by-step explanation:
multiply 40 by $15 = 600 then subtract 10% = 540 then subtract 7.5% = 499.5 lastly subtract 2.9% = 485 and that's his take home money :)
the function get list of powers takes in a list x and integer k and returns a list l whose elements are themselves lists. the ith element of l contains the powers of x[i] from 0 to k. for example, running get list of powers with inputs x
The function will use the formula x^i, where x is the element in x and i is the power.
Let x = [2, 3] and k = 3.
The function get list of powers will calculate the powers of each element in x, from 0 to k.
For the given example, the list of powers will be l = [[1, 2, 4, 8], [1, 3, 9, 27]].
The first element in l is the powers of 2 from 0 to 3, which are 1, 2, 4, and 8. The second element in l is the powers of 3 from 0 to 3, which are 1, 3, 9, and 27.
To calculate these powers, the function will use the formula x^i, where x is the element in x and i is the power.
For example, to calculate 8 (2^3), the function will use the formula 2^3.
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A sphere has a surface area of 160 square centimeters.which choice is the closest to its diameter use 3.14 to approximate pi.
Answer:
Step-by-step explanation:
Hope this helps!
Which steps are needed to solve this equation? . b + 6 = 21 Subtract 6 from both sides of the equation. The answer is b = 15. Check the solution by substituting 15 for b. Subtract 6 from the left side and add 6 to the right side of the equation. The answer is b = 27. Check the solution by substituting 27 for b. Add 6 to both sides of the equation. The answer is b = 27. Check the solution by substituting 27 for b. Add 6 to the left side and subtract 6 from the right side of the equation. The answer is b = 15. Check the solution by substituting 15 for b. edge
The solution by substituting 15 for b in the Original equation. The answer is true.
The steps needed to solve the equation b + 6 = 21 are:
Subtract 6 from both sides of the equation: b + 6 - 6 = 21 - 6, which simplifies to b = 15.
Check the solution by substituting 15 for b in the original equation: 15 + 6 = 21, which is true.
Therefore, the correct steps to solve the equation are:
Subtract 6 from both sides of the equation. The answer is b = 15
the solution by substituting 15 for b in the original equation. The answer is true.
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You and your friend's choice to take a bus back home, each 2 miles you have to pay 60 cents, write this in an Equation
Answer:
Step-by-step explanation:
Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.
One cup of popcorn kernels makes four cups of popped corn. There are eight cups of kernels in a bag. How many cups of popped corn will one bag of kernels make?
Answer:
32
Step-by-step explanation:
so because there is 1 cup of kernels which makes 4 cups of pop corn and there are 8 cups of crenels you would multiply 8 and 4.
Surface area to volume ratio for a sphere
Use the appropriate theorem(s) to find the measure of <1
\(m = 113° ( vertically \;opposite\: angles)\)
Angles ∠1 and 113° are made by the intersection of two lines thus both will be supplementary angles thus ∠1 will be 67°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
Given the figure,
The angle ∠1 and 113° are on a single line and sum up to 180°.
∠1 + 113° = 180°
Therefore both are supplementary angles.
∠1 = 180 - 113
∠1 = 67°
Hence "Angles ∠1 and 113° are made by the intersection of two lines thus both will be supplementary angles thus ∠1 will be 67°".
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Researchers for a local marketing firm have a sample size of 24 , and they are using the Student's t-distribution. What are the degrees of freedom and how would they notate this distribution
Answer:
df=23, T∼t23
Step-by-step explanation:
The degrees of freedom would be calculated as df = n-1 = 24-1 = 23, and the distribution notation would be T∼t23 from the degrees of freedom.
The data displayed by the bar graph can be described by the mathematical model4xp=5 + 24 where x is the number of years after 1980 and p is the percentage of college freshmen in a certain area who had anaverage grade of Ain high school. Use this information to answer parts (a) and (b) below.
Part a) The idea here is to know how precise is our model in respect of the graph. What says the formula about 2010? Well, from 1980 to 2010, there are 30 years; the formula thus says that the percentage of college freshmen with an average of A is
\(p(30)=\frac{4\cdot30}{5}+24=48\text{ \%}\)This is not the value the graph gives, which is 49%. Because
\(48\text{ \%}<49\text{ \%}\)we say that the model underestimates the value displayed by the graph. The actual value is (again) 49%.
...................................................................................................................................................................
Part b) The idea here is to "shift gears", and given a value of p (in this case 64%) obtain a value of x. That replacement in the model gives us
\(64=\frac{4\cdot x}{5}+24\)Let us solve it for x:
\(64-24=\frac{4x}{5}\)\(40=\frac{4x}{5}\)\(40\cdot5=4x\)\(200=4x\)\(50=\frac{200}{4}=x\)Then, the prediction is that in the year 2030 (1980+50) approximately 64% of college freshmen will have had an average grade of A...
K'Drien has a recipe that needs 3/4 tablespoon of butter for every 2
cups of milk. If K'Drien increases the recipe such that he uses 6
cups of milk, how many
tablespoons of butter will he need?
Answer:
6/4. Simplified, is 1 2/4
Step-by-step explanation:
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (-3, 1)?
Answer:
y-1= -1/3(x+3)
Step-by-step explanation:
y-y1=m(x-x1)
y-1=m(x+3)
the slope is rise over run
the slope is -1/3
Answer:
y - 1 = 3/2 (x + 3)
Step-by-step explanation:
To find the equation of a line parallel to the given line and passing through the point (-3, 1), we can use the point-slope form of a linear equation. The point-slope form is given by:
y - y₁ = m(x - x₁)
Where (x₁, y₁) is the given point and m is the slope of the line.
First, let's calculate the slope of the given line using the two points (-2, -4) and (2, 2):
slope = (y₂ - y₁) / (x₂ - x₁)
= (2 - (-4)) / (2 - (-2))
= 6 / 4
= 3/2
Since the line we want to find is parallel to the given line, it will have the same slope. Therefore, the slope (m) of the new line is also 3/2.
Now we can substitute the values into the point-slope form using the point (-3, 1):
y - 1 = (3/2)(x - (-3))
y - 1 = (3/2)(x + 3)
The equation in point-slope form of the line parallel to the given line and passing through the point (-3, 1) is:
y - 1 = 3/2 (x + 3)
what is the volume of aright square prism whose length of side of the base is 6cm and height 10cm?
Answer: 360 cubic centimeters.
Step-by-step explanation:
Since it has a base shaped like a square and we know that it has a side length of 6 cm then we could square it an multiply it by the height.
6^2 = 36
36 * 10 = 360
At a real estate agency, an agent sold a house for $361,000. The commission rate is 6.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
$23,465
$4,693
Step-by-step explanation:
To find a percent of a number, multiply the percent by the number.
6.5% of $361,000 = 0.065 × $361,000 = $23,465
20% of $23,465 = 0.2 × $23,425 = $4,693
ethan buys vidio games for 39.99 sale on 20% how much ethan payed
The amount that Ethan pays for the video game is 47.988.
How to calculate the value?From the information illustrated, it should be noted that it was stated that Ethan buys video games for 39.99 sale on 20% tax.
In this case, the amount that he will pay will be:
= Original amount + Tax
= 39.99 + (20% × 39.99)
= 39.99 + 7.998
= 47.988
The amount is 47.988.
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Complete question
Ethan buys vidio games for 39.99 sale on 20% tax how much ethan payed
Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q
Floyd needs 33 matches to make a rectangle with a length of 20 matches.
To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.
From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.
Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.
First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.
Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.
Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.
Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.
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Can I please get some help with this math question
Answer:
\( \frac{2}{5}x = \frac{7}{20}x + \frac{1}{4} \)
\( -\frac{3}{4} = -\frac{1}{20}x - \frac{1}{2} \)
Step-by-step explanation:
Given,
\( -\frac{3}{4} + \frac{2}{5}x = \frac{7}{20}x - \frac{1}{2} \)
There are two possible ways to start solving for the value of x.
✔️The first is, add both sides by ¾
\( -\frac{3}{4} + \frac{2}{5}x + \frac{3}{4} = \frac{7}{20}x - \frac{1}{2} + \frac{3}{4} \)
\( \frac{2}{5}x = \frac{7}{20}x + \frac{1}{4} \) (-½ + ¾ = ¼)
This equation represents the first possible way to begin with.
✔️The second is subtract both sides by ⅖x
\( -\frac{3}{4} + \frac{2}{5}x - \frac{2}{5}x = \frac{7}{20}x - \frac{1}{2} - \frac{2}{5} \)
\( -\frac{3}{4} = \frac{7}{20}x - \frac{2}{5}x - \frac{1}{2} \)
\( -\frac{3}{4} = \frac{7 - 8}{20}x - \frac{1}{2} \)
\( -\frac{3}{4} = -\frac{1}{20}x - \frac{1}{2} \)
This equation represents another way to start.
for the compound interest loan whose terms are given below, find the future value, or the amount due at the end of the specified time.
The $ 9689.313 is the compound interest loan whose terms are given below, find the future value, or the amount due at the end of the specified time.
A compound interest account that earns weekly interest will earn and reinvest weekly interest. Such an account grows faster than an annual compounding account.
There is an investment amount
P.= $ 8900 correct = 0.034 composition n = 52
Once a year, assuming the year has exactly 52 weeks. number of years t = 2.5
You can calculate the amount of money you earn as follows: a = P.(1+correctn)nta=8900 1 +0.034 52) 52∗ 2.5 a ≒ $ 9689.313.
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A homogeneous 1300 kg bar AB is supported at either end by a cable. calculate the stress acting in bronze bar in N/mm² if stress should not exceed to 120MPa for steel and the area of the bronze bar and steel bar is 40.05 mm² and 36.33 mm² respectively.
Answer:
4553332 is the answer
Step-by-step explanation:
Three different sizes of sports-drinks mix are shown with their prices. Can the relationship between price and volume (in grams) be described by a constant rate? Explain
Answer:
No; the unit rate of price ($) per volume (g) is not equal for all the sizes.
Step-by-step explanation:
Find the missing side
By using trigonometry, the missing sides are
Example 1: x = 16.7
Example 2: x = 3.2
Example 3: x = 23.5
Example 4: x = 9.3
Trigonometry: Determining the values of the missing sidesFrom the question we are to determine the value of the missing sides in the given triangles
We can determine the value of the missing sides by using SOH CAH TOA
Example 1
Angle = 42°
Opposite side = x
Hypotenuse = 25
Thus,
sin (42°) = x / 25
x = 25 × sin (42°)
x = 16.7
Example 2
Angle = 75°
Opposite side = 12
Adjacent side = x
Thus,
tan (75°) = 12 / x
x = 12 / tan (75°)
x = 3.2
Example 3
Angle = 36°
Hypotenuse side = x
Adjacent side = 19
Thus,
cos (36°) = 19 / x
x = 19 / cos (36°)
x = 23.5
Example 4
Angle = 53°
Opposite side = x
Adjacent side = 7
Thus,
tan (53°) = x / 7
x = 7 × tan (53°)
x = 9.3
Hence,
The missing sides are 16.7, 3.2, 23.5 and 9.3
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Given the functions f(x) = -x + 23 andg(x) = 2x - 7, find the value of x for whichf(x) = g(x).A: 5B: 10C: 16D: 30
f(x) = -x + 23
g(x) = 2x - 7
We need to find the value of x for which f(x) = g(x), therefore:
\(\begin{gathered} -x+23=2x-7 \\ \text{Solving for x:} \\ \text{Add x to both sides:} \\ -x+23+x=2x-7+x \\ 23=3x-7 \\ \text{Add 7 to both sides:} \\ 23+7=3x-7+7 \\ 30=3x \\ \text{Divide both sides by 3:} \\ \frac{30}{3}=\frac{3x}{3} \\ 10=x \end{gathered}\)Therefore, x = 10
--------------------------------------------------------------------
f(n) = n³ + 1
Where:
n ∈ Z ; n > 0
We need to find the first four terms, so:
f(1) = 1³ + 1 = 2
f(2) = 2³ + 1 = 8 + 1 = 9
f(3) = 3³ + 1 = 27 + 1 = 28
f(4) = 4³ + 1 = 64 + 1 = 65
Therefore, the first four terms are:
2 , 9 , 28 , 65
The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.
Answer:
Therefore, the correct statements are A, B, and E.
Explanation:
Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.
To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀
.
- The component form of −4⇀
is obtained by multiplying each component of ⇀
by –4. Therefore, −4⇀
= ⟨–8, –12⟩. This means that statement A is true.
- The magnitude of −4⇀
is obtained by multiplying the magnitude of ⇀
by 4. The magnitude of ⇀
is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀
is 4√13. This means that statement B is true.
- The direction of −4⇀
is opposite to the direction of ⇀
because the scalar –4 is negative. This means that statement C is false.
- The vector −4⇀
is in the third quadrant because its components are both negative. This means that statement D is false.
- The direction of −4⇀
is 180° greater than the inverse tangent of its components because it is opposite to ⇀
. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀
is 180° + tan^(-1)(3/2). This means that statement E is true.
Therefore, the correct statements are A, B, and E.
It took Juan 3 hours to get to his first stop for his vacation. He was traveling
55 miles per hour. How far did Juan go ?*
Answer:
He traveled 165Miles.
Step-by-step explanation:
Simple math, if it took 3hrs and he was doing 55 miles per HOUR then multiply 55 by 3.
Answer:
165 miles
Step-by-step explanation:
The equation is d = rt.
The r, or rate is 55, and the t, time is 3. Multiply 55 by 3 to get 165.
3A rectangular prism net is shown.3 in1 in11 in1 in1 in1 in33331 inWhat is the surface area of the net?143+3+3+3= 6 + 6 = 121212= 14
The prism net shown in the figure consists of 4 identical 3x1 rectangles and two 1x1 squares; therefore,
\(\begin{gathered} A_{rectangle}=3*1=3 \\ and \\ A_{square}=1*1=1 \end{gathered}\)Thus,
\(A_{total}=4A_{rectangle}+2A_{square}=4*3+2*1=12+2=14\)Hence, the surface area of the net is 14in^2
Help me help me gain
Answer:
Let's look at the factors of 28.
1,28
2,14
4,7
We see that 4 and 7 add to make 11, but not -11. Well, we can just make both of them negative and then it will be -11 and their product will still be 28. Our numbers are -4 and -7.
the 2 numbers are 5, and 10
Step-by-step explanation:
CORRECT ME IF I AM WRONG!!
Answer:
The first one is (7,4) and the second one is (5,20).
[Hope it helps.]