Answer:
y = 425x + 600
Step-by-step explanation:
So x is the months, 425 is how much he pays a month, also, 600 is the extra one time payment.
5 boxes of candles contain a total of 60 candles. Every box holds the same number of candles in each box. How many boxes does the store have if they have 8 boxes?
Answer: 96 candles in 8 boxes
Step-by-step explanation:
There’s 12 candles in a box
The slope of a line is 5 /7. What is the slope of any line that is perpendicular to that line?
Answer:
-7/5
Step-by-step explanation:
The slope of a perpendicular line is the "negative reciprocal" of the slope of the original line. so just switch the numbers and put the top number into a negative.
The slope of a line is a measure of its steepness. -7/5 is the slope of the line that is perpendicular to the line of slope 5/7.
What is slope?The slope of a line is a measure of its steepness
Two lines are perpendicular if and only if the product of their
slopes is -1.
The slope of a line is 5 /7, then slope of the line perpendicular to it.
m1*m2=-1
m1 slope of first line
m2 slope of second line
Here m1=5/7
m2=?/
m1*m2=-1
5/7*m2=-1
m2=-7/5
Therefore slope of second line is -7/5 for line perpendicular to slope of a line 5/7.
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Mr. Smith has a honeybee colony on his farm. On average, 1,000 bees can gather enough nectar for 1 ounce of honey each day. If Mr. Smith wants his bees to produce 3.5 pounds of honey each week, how many bees will he need in his bee colony?
Answer:
8,000 bees
Step-by-step explanation:
Final answer:
Mr. Smith will need approximately 8,000 bees in his bee colony to produce 3.5 pounds of honey each week, based on the rate of 1,000 bees producing 1 ounce of honey per day.
Explanation:
Mr. Smith needs to calculate the number of bees required to produce 3.5 pounds of honey each week.
First, we need to convert pounds to ounces because the rate given is in ounces:
3.5 pounds = 3.5 * 16 ounces/pound = 56 ounces of honey per week.
Now, we use the given rate of honey production:
1,000 bees produce 1 ounce of honey per day.
Therefore, in one week (7 days), 1,000 bees will produce 7 ounces of honey.
To find out how many bees you need to produce 56 ounces, you divide the target ounces by the ounces produced by
1,000 bees per week:
56 ounces / 7 ounces per 1,000 bees = 8,000 bees.
So, Mr. Smith will need approximately 8,000 bees in his colony to produce 3.5 pounds of honey each week.
Round 2,253 to hundred
Answer:
2300
Step-by-step explanation:
Answer:
2,300
Step-by-step explanation:
When we round to the hundreds place, we make sure the numbers behind the hundreds place are zero. Then we round. Here's the general rule for rounding: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. In this case we round the 2 in the hundreds place up to three because it is followed by a five.
8x^2-x^3
Help me I need the answer
Answer:
-x^2(x-8)
Step-by-step explanation
If the área of a right is 6.22sq. In. And its base is 3.11 in. Write an equation that relates the área to the height, h, and the base. Solve the equation to determine the height.
In the given question one word is missing, the correct question is,
If the área of a right triangle is 6.22sq. In. And its base is 3.11 in. Write an equation that relates the área to the height, h, and the base. Solve the equation to determine the height.
The equation that relates the area(A) to the height (h) and the base(b) is [tex]Area = \frac{1}{2} bh[/tex]. Height of right trinagle is 4 inches.
Step-by-step explanation:
The given is,
Area of right triangle, A = 6.22 square inches
Its base is 3.11 inches
Step:1
Formula for area of right angle triangle is,
[tex]A = \frac{1}{2} bh[/tex]......................................(1)
Where, b - Base
h - Height
Equation (1), that relates the área (A) to the height (h) and the base (b).
Step: 2
From the given values,
Base, b = 3.11 inches
Area, A = 6.22 square inches
Equation (1) becomes,
6.22 = [tex]\frac{1}{2} (3.11)(h)[/tex]
(6.22) (2) = (3.11) (h)
12.44 = (3.11) (h)
[tex]h = \frac{12.44}{3.11}[/tex]
= 4
Height, h = 4 inches
Result:
The equation that relates the area(A) to the height (h) and the base(b) is [tex]Area = \frac{1}{2} bh[/tex]. Height of right trinagle is 4 inches.
How can you make the number 25 using 3,6,8 and 9.
Each number has to be used and can only be used once
6 ÷ 3 × 8 + 9
6÷3=2
2×8=16
16+9=25
the numbers 525 & 3000 are divisible by 3,5,15,25 and 75.what is the hcf of 525 & 3000?
Answer:
75.
Step-by-step explanation:
The HCF is the highest common factor of two numbers - if these numbers are both divisible by 75 - this is their HCF.
Yuki bought a pound of confetti for $ 12 $12dollar sign, 12. What is the price, in dollars, per ounce of confetti? There are 16 1616 ounces in 1 11 pound.
We have been given that bought a pound of confetti for $12. We are asked to find price per ounce of confetti.
We know that 1 pound equals 16 ounces. To find cost of per ounce confetti, we will divide total cost by 16 as:
[tex]\text{Cost of per ounce confetti}=\frac{\$12}{16}[/tex]
[tex]\text{Cost of per ounce confetti}=\frac{\$3}{4}[/tex]
[tex]\text{Cost of per ounce confetti}=\$0.75[/tex]
Therefore, the cost of per ounce confetti is $0.75
A cyclinder has a volume of 703 cm3 and a height of 18.5 cm. What can be concluded about the cyclinder? Check all that apply.
The formula for the volume of a cyclinder can be applied to find the area of the base.
To find the area of the base, multiply volume and height.
The radius of the cyclinder is half the height.
The area of the base is 38 cm2.
To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.
Step-by-step explanation:
Cylinder volume = 703 [tex]cm^{3}[/tex], height = 18.5 cm
(i) Volume or area of the cylinder = [tex]\pi r^{2} h[/tex]
The formula for the volume of a cyclinder can be applied to find the area of the base.
Option (i) is correct
(ii) Volume or area of the cylinder = [tex]\pi r^{2} h[/tex]
The volume should be divivded by height to get the area
Option (ii) is wrong
(iv) Area of the base = [tex]\frac{703\pi }{18}[/tex] = 38[tex]\pi cm^{2}[/tex]
Option (iv) is correct
(iii) The radius of the cyclinder is half the height.
[tex]\frac{38}{2}[/tex] = 19 cm not 18.5 cm
Option (iii) is wrong
(v)Area of the base = [tex]\frac{703\pi }{18}[/tex] = 38[tex]\pi cm^{2}[/tex]
Option (v) is correct
Answer:
1 , 4 , & 5 ... which is also a , d, & e
Step-by-step explanation:
Hello, please look at the attachment and do the following :
A) Complete the ven diagram. ( what number goes in the middle and what number goes to the bottom left of the diagram out of the circle?).
B) How many students study only french
C) How many students learn spanish
Answer:
A) middle: 32
Outside: 9
B) 25
C) 47
Step-by-step explanation:
71 = 14 + 25 + intersection
Intersection = 71 - 39 = 32
Outside: 80 - 71 = 9
Only french: 25
Spanish: 14 + 32 = 46
A circular pizza that is 16 inches in diameter is cut into 5 equal slices. What is the area of one of the slices?
Answer:
40.23
Step-by-step explanation:
Area of a circular pizza is calculated by pi radius^2
or 22/7 × (16/2)^2
Radius is diameter/2 = 16/2
= 22/7 × 8^2
= 22 × 8 × 8 ÷ 7
= 201.143 ....
A circular pizza is cut into 5 slices
so the area of 1 slice of a circular pizza is
201.143 / 5 = 40.23 inches^2
work
18.) The temperature in Chicago is -11.8°F. The temperature in New York is 8.3°F. How much
warmer is it in New York than in Chicago? Show your work
A particle starts at point A on the positive x-axis at time t = 0 and travels along the curve from A to B to C to D, as shown above. The coordinates of the particle's position (x(t), y(t)) are differentiable functions of t, where x′(t)=dxdt=−9cos(πt6)sin(πt+1√2) and y′(t)=dydt is not explicitly given. At time t = 9, the particle reaches its final position at point D on the positive x-axis. The slope of the curve is undefined at point B. At what time t is the particle at point B?
Answer:
the particle is at point B at t = 3 s
Step-by-step explanation:
Solution:-
- The coordinates of the path that a particle follows through points A to B to C.
- The coordinates of the particle position ( x , y ) are differentiable function of t, where, the rate of change of x-coordinate is given by:
[tex]x ' (t) = -9*cos (\frac{\pi *t}{6})*sin (\frac{\pi \sqrt{t + 1} }{2})[/tex]
- The slope of the curve at point B, in mathematical terms that is called the inflection point.
- The independent variable time (t) can be determined for the particle when it is at point B. Where the x'(t) is set to zero, and the critical value defines the point B.
[tex]x ' (t) = -9*cos (\frac{\pi *t}{6})*sin (\frac{\pi \sqrt{t + 1} }{2}) = 0\\\\cos (\frac{\pi *t}{6}) = 0 , sin (\frac{\pi \sqrt{t + 1} }{2}) = 0\\\\\frac{\pi *t}{6} = \frac{\pi }{2} , \frac{\pi \sqrt{t + 1} }{2} = \pi \\\\t = 3 , t = 3[/tex]
- Hence, the particle is at point B at t = 3 s.
Ruth Brown wants to borrow $2,600 for 90 days to pay her real 'estate tax. State Savings and Loan charges 7.25% ordinary interest while Security Bank charges 7.5% exact interest. A. What is the maturity value of each loan? B. Where should they borrow the money?
Answer:
Step-by-step explanation:
Ordinary interest rate = principal × rates × ( time / 360)
exact interest rate = principal × rates × ( time / 365)
for states saving and loan of rate 7.25 %
ordinary interest rate = $ 2600 × 0.0725 × ( 90 / 360) = $ 47.125
total amount due after 90 days = $ 2647.125
for Security Bank of 7.5%
exact interest = $2600 × 0.075 × ( 90 / 365) = $ 48.75
amount due after 90 days = $ 2600 + $ 48.75 = $ 2648.75
b) considering the amount to be paid at maturity it is better to borrow state savings and Loan although the difference is not really much.
To determine where Ruth Brown should borrow the money, we compared the maturity value of loans from State Savings and Loan and Security Bank. After computing the interest over 90 days, it is evident that State Savings and Loan offers a better deal with a lower maturity value than Security Bank, making it the preferable option.
To determine the maturity value of each loan offered to Ruth Brown, we will calculate the total amount due, including principal and interest, for both the State Savings and Loan and Security Bank, after 90 days. The interest is calculated using the formulas for ordinary interest (360-day year) and exact interest (365-day year).
State Savings and Loan:
Principal (P) = $2,600
Rate (r) = 7.25%
Time (t) = 90 days
Interest (I) = P * r*(t/360) = $2,600* 0.0725 * (90/360) = $45.125
Maturity value = Principal + Interest = $2,600 + $45.125 = $2,645.125
Security Bank:
Principal (P) = $2,600
Rate (r) = 7.5%
Time (t) = 90 days
Interest (I) = P * r *(t/365) = $2,600* 0.075 * (90/365) = $46.58
Maturity value = Principal + Interest = $2,600 + $46.58 = $2,646.58
Ruth should borrow the money from the institution that offers the lowest maturity value, which in this case would be the State Savings and Loan.
Combine like terms to create an equivalent expression.
Make sure to simplify coefficients and constants as well.
2
(
1
5
m
−
2
5
)
+
3
5
2(
5
1
m−
5
2
)+
5
3
Answer:
17982m-18301
Step-by-step explanation:
The simplified expression is [tex]\( \frac{156}{5}m - 125 \).[/tex]
To combine like terms and simplify the expression [tex]\(2(15m - 25) + \frac{3}{5} \times 2(5m - 52) + \frac{5}{3}\),[/tex] we distribute the coefficients:
[tex]\[ 2 \times 15m - 2 \times 25 + \frac{3}{5} \times 2 \times 5m - \frac{3}{5} \times 2 \times 52 + \frac{5}{3} \][/tex]
[tex]\[ = 30m - 50 + \frac{6}{5}m - \frac{6}{5} \times 52 + \frac{5}{3} \][/tex]
[tex]\[ = 30m - 50 + \frac{6}{5}m - \frac{312}{5} + \frac{5}{3} \][/tex]
Now, let's combine like terms:
[tex]\[ = (30m + \frac{6}{5}m) + (-50 - \frac{312}{5}) + \frac{5}{3} \][/tex]
[tex]\[ = (30 + \frac{6}{5})m + (-50 - \frac{312}{5}) + \frac{5}{3} \][/tex]
[tex]\[ = \frac{156}{5}m - \frac{650}{5} + \frac{25}{15} \][/tex]
[tex]\[ = \frac{156}{5}m - \frac{650}{5} + \frac{75}{15} \][/tex]
Now, let's simplify the fractions:
[tex]\[ = \frac{156}{5}m - \frac{130}{1} + \frac{5}{1} \][/tex]
[tex]\[ = \frac{156}{5}m - 130 + 5 \][/tex]
[tex]\[ = \frac{156}{5}m - 125 \][/tex]
Therefore, the simplified expression is [tex]\( \frac{156}{5}m - 125 \).[/tex]
if 6th term of an ap is -10 and 10 th term is -26 then find thr 15 term plzzzzzzzzzzzzzzzzzzzzzzz answer i will give whatever you want
Answer:
-46
Step-by-step explanation:
We need to find the common difference of this arithmetic sequence:
[tex]\frac{-26-(-10)}{10-6} =\frac{-16}{4} =-4[/tex]
So, the common difference d = -4. We can now write the equation:
[tex]a_n=a_1+d(n-1)[/tex]
[tex]a_{15}=a_6+d(15-6)=-10-4(9)=-10-36=-46[/tex]
So, the 15th term is -46.
Hope this helps!
Step-by-step explanation:
the answer and explanation is in the picture
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On a coordinate plane, 3 parallelograms are shown. Parallelogram A B C D has points (3, 5), (6, 5), (4, 1), (1, 1). Parallelogram A prime B prime C prime D prime has points (3, negative 5), (6, negative 5), (4, negative 1), (1, negative 1). Parallelogram A double-prime B double-prime C double-prime D double-prime has points (negative 3, negative 4), (0, negative 4), (negative 2, 0), (negative 4, 0). Which rule describes the composition of transformations that maps pre-image ABCD to final image A"B"C"D"? Reflection across the x-axis composition translation of negative 6 units x, 1 unit y. Translation of negative 6 units x, 1 unit y composition reflection across the x-axis. 90 degree rotation about point 0 composition translation of negative 6 units x, 1 unit y. Translation of negative 6 units x, 1 unit y composition 90 degree rotation about point 0.
The correct answer is Translation of negative 6 units x, 1 unit y composition reflection across the x-axis.
Here's the step-by-step breakdown:
Parallelogram A B C D to A' B' C' D':
Reflection across the x-axis: This flips the parallelogram across the x-axis, resulting in A' B' C' D'.
Parallelogram A' B' C' D' to A" B" C" D":
Translation of negative 6 units x, 1 unit y: This shifts the parallelogram 6 units to the left and 1 unit upwards, resulting in A" B" C" D".
Therefore, the overall composition of transformations is Translation of negative 6 units x, 1 unit y composition reflection across the x-axis.
The side of an office building in hamburg Germany is in the shape of a parallelogram the area of the side of the building is about 2150 square meters. What is the length x of the portion of the building that extends over the river
Answer:
47 meters
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
Given
The building is about 2150 square metersThe height of the building: 25 metersAs we know, the formula to find the area of a parallelogram is:
A = the base* the height
=> the base in this question is:
= The area / the height
= 2150 / 25 = 86 meters
As we can see in the photo, x + 39 meters = the base
=> x = the base - 39 meters
= 86 meters - 39 meters
= 47 meters
What is the area of the following circle?
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi and enter your answer as a decimal.
To solve the problem we will first calculate the radius of the circle and substitute the value in the formula of the area of a circle.
Area of the circleArea of the circle [tex]=\pi r^2[/tex]
The area of the circle is 49π or 153.86 unit².
Given to usDiameter, d = 14π = 3.14SolutionRadius of the circleRadius,
[tex]\rm{ r = \dfrac{Diameter}{2} = \dfrac{d}{2}=\dfrac{14}{2} =7[/tex]
Thus, the radius of the circle is 7.
Area of the circleArea of the circle [tex]=\pi r^2[/tex]
[tex]=\pi\times (7)^2\\ = 49\pi[/tex]
Substituting the value of π = 3.14,
Area of the circle [tex]=49\pi\\ = 49 \times 3.14\\ = 153.86[/tex]
Hence, the area of the circle is 49π or 153.86 unit².
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The area of the circle is approximately 4.5m².
Explanation:The formula to find the area of a circle is A = πr², where π is approximately 3.14 and r is the radius. In this case, we have a radius of 1.2m. Using a calculator with an eight-digit output, we can calculate A = 3.14 x (1.2m)² = 4.5238934m².
However, since the radius only has two significant figures, we need to limit the calculated quantity to two significant figures. So, the area of the circle is approximately 4.5m² (rounded to two significant figures).
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An engineer designs a satellite dish with a parabolic cross-section. The dish is 15 ft. wide at the opening and the depth is 4 feet. Find the position of the light source (the focus). How far is it from the deepest part of the dish?
The position of the light source(the focus) is at; (0, 3.516).
The distance from the position of light source to the deepest part of dish is; 3.516 ft.
We know that standard form of a parabola equation is;
x² = 4ay
Now, we are told the dish is 15 ft wide and the depth is 4ft.
This means that the edge of the parabolic cross section will have an x-coordinate of 15/2 = 7.5 ft
While the y-coordinate is the depth of 4ft.
Thus;
Since;
x² = 4ay
Plugging in 7.5 ft for x and 4 ft for y gives;
7.5² = 4a(4)
a = 7.5²/16
a = 3.516 ft
Thus, position of the light source which is the focus is; (0, 3.516)
And distance from the position of light source to the deepest part of dish = 3.516 ft.
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The position of the light source (the focus) in a satellite dish with a parabolic shape, with a 15 ft diameter opening and depth of 4 ft, is calculated using the formula for the focal length of a parabola. Plugging these values into the formula results in the finding that the focus is 14.0625 ft away from the base of the dish.
Explanation:The parabola can be described by the equation y = x2/4f, where f is the distance of the focus from the vertex. In a practical situation, to determine the position of the light source (the focus) in a satellite dish, which has a parabolic shape, we need to know the dish's width and depth. Here, the dish is 15 ft wide at the opening (which is the diameter of the dish) and the depth is 4 ft.
So, we can use these dimensions to calculate the position of the focus. First, we need to recall that in a parabola, the focus lies at the point (0, p), where p is the focal length. The focal length (p) of a parabolic dish can be calculated using the formula p = D2/16h, where D is the diameter of the dish and h is the depth of the dish. In this case, D = 15 ft and h = 4 ft.
Putting these values in the formula, we get p = (152)/16(4) = 14.0625ft. Therefore, the light source (focus) is placed 14.0625 ft away from the base of the dish.
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Q)David bed is 9 inches longer than his desk His desk is 66 inches long .
How long is David bed ?
-------inches.
Answer:75 inches
Step-by-step explanation: 9+66=75
=75 inches
Answer:
75 inches
Step-by-step explanation:
66+9=75
You pick a card at random. Without putting the first card back, you pick a second card at random.
1
2
3
4
What is the probability of picking a 1 and then picking a 4?
Group of answer choices
1/16
1/4
1/12
1/2
Answer:
1/12
Step-by-step explanation:
The daily supply of oxygen for a particular multicellular organism is provided by 625 square feet of lawn. A total of 6,250 square feet of lawn would provide the daily supplies of oxygen for how many organisms?
Can someone please help me with this problem???
Answer:
10 organisms.
Step-by-step explanation:
625 Square feet of lawn.
You would simply divide 6250 by 625 and you would get 10.
Feel free to let me know if you need more help! :)
please help Use elimination to solve each system of equations.
2x + 5y = 3
-x + 3y = -7
"A bicycle factory runs two assembly lines, A and B. 95% of line A's products pass inspection and 93% of line B's products pass inspection. 60% of the factory's bikes come off assembly line B and the rest come off line A. Find the probability that one of the factory's bikes did not pass inspection and came off assembly line Upper A."
Answer:
0.02
Step-by-step explanation:
Since 60% of the factory's bikes come off assembly line B, Therefore:
The probability that the factory's bikes come off assembly line B = 60% = 0.6
Percentage line B's products pass inspection = 93% = 0.93
Percentage line B's products that do not pass inspection = 1 - 0.93 = 0.07
The probability that the factory's bikes come off assembly line A = 1 - 0.6 = 0.4
Percentage line A's products pass inspection = 95% = 0.95
Percentage line A's products that do not pass inspection = 1 - 0.95 = 0.05
Let D represent those that passes inspection and D' represent those that do not pass inspection.
P(A ∩ D') = P(A) × P(D'/A) = 0.4 × 0.05 = 0.02
P()bikes did not pass inspection and came off assembly line A) = P(A ∩ D') = 0.02
Final answer:
The probability that a bicycle failed inspection and came from assembly line A is 2%.
Explanation:
We're tasked with finding the probability that a bike did not pass inspection and came from assembly line A. First, we calculate the probability of a bike failing inspection from each line. Since 95% of line A's products pass, there is a 5% (100%-95%) chance a bike from line A fails inspection. For line B with a 93% pass rate, there's a 7% (100%-93%) chance of failure.
Next, we consider the distribution of production between lines A and B. 60% of bikes are from line B, so 40% are from line A. We then calculate the probability of a bike being from line A and failing inspection using the multiplication rule for independent events, which is P(A) times the probability of failure on line A.
P(Fail and from A) = P(A) * P(Fail | A) = 40% * 5% = 0.40 * 0.05 = 0.02 or 2%.
Therefore, the probability that a bike did not pass inspection and came from assembly line A is 2%.
Solve for all values of x by factoring.
x² + 2x - 4 = 2x
Answer:
x=2 x=-2
Step-by-step explanation:
x² + 2x - 4 = 2x
Subtract 2x from each side
x² + 2x-2x - 4 = 2x-2x
x^2 -4 = 0
Factor
We know this is the difference of squares
(x-2)(x+2) =0
Using the zero product property
x-2 =0 x+2 =0
x=2 x=-2
The price of a bracelet was decreased by 30% to £63.
What was the price before the decrease?
Answer:
90
Step-by-step explanation:
If the original price of a bracelet was a
70%a = 63
70/100a = 63
a = 63 × 100/70
a = 90
The price before the decrease is 90 euros.
What is decrease?The amount of decrease is the original amount minus the final amount. For example if you are looking for the percent of decrease from 9 to 6, the original amount is 9 and the final amount is 6.
GIVEN
Based on the given conditions, write z= 63/(1-0.3)
Calculate the sum or difference = 63/0.7
Divide a fraction by multiplying its reciprocal:[tex]=63*10/7 =90[/tex]
Hence, The price before the decrease is 90 euros.
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What does a daz washing powder look like in 3D net GET IT ASAP
Answer:
I dont know... Never tried it.
Answer:
47
Step-by-step explanation:
not that difficult
Which of the following is not considered quantitative data?
The height of the Empire State Building.
The weight of a chicken.
The taste of vanilla ice cream.
The speed of a Tesla automobile.
Looking at the scatter plot