What is the area of this figure?
Answer:
Step-by-step explanation:
first you divide the shape into 3 parts ;a big triangle, and 2 little squares
after that to get the height of the triangle i gotten by adding
3+5+2+6=16yd
area of a triangle =1/2 × b×h
area =1/2×7×16
area=112/2
area=56yd²
small squre 1=
area=5×5
=25yd²
area of small rectangle=
area=LB
=3×2
=6yd²
total area =triangle+square+rectangle
=56+25+6
TA=87yd²
How many solutions are there to the inequality x1 x2 x3 <= 11?.
There are 364 solutions to the given inequality: x1 + x2 + x3 <= 11.
To get the solution of the inequality x1 + x2 + x3 <= 11, we first need to include an additional variable in the inequation to write in as an equation.
Therefore, let the additional variable be x4.
Thus, equation is x1 + x2 + x3 + x4 = 11
The number of solutions of an equation can be calculated by the formula,
\(( \left \ {{n+ r - 1} \atop {n}} \right.)\), where n is the constant value of the equation and r is the number of variables in the equation.
In this case, n = 11 and r = 4
Therefore,
\(( \left \ {{n+ r - 1} \atop {n}} \right.)\) = \(( \left \ {{11+ 4 - 1} \atop {11}} \right.)\) = \(( \left \ {{14} \atop {3}} \right.)\)
= 14 * 13 * 12 * 11!/(3 * 2 * 1 * 11!)
=2184/6 = 364
Therefore, there are 364 possible solutions of the inequality.
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HELP PLEASE!!! STATISTICS
Answer:
its b
Step-by-step explanation:
its b i for some reason got it right
A lounge chair manufacturing company's daily production costs, (y), is dependent on the number of lounge chairs (x) produced daily. Use the graph below to answer the question.
Graph of function p of x equals 25 x squared minus 200 x plus 500. The graph has the x-axis labeled as number of items produced, and the y-axis labeled as cost. The curve begins at (0, 500), decreases to (4, 100), and then increases to infinity.
What is the approximate number of items that should be produced to minimize production costs?
0
4
100
500
Answer:
(b) 4
Step-by-step explanation:
You want the approximate number of items that should be produced to minimize production costs.
GraphThe graph shows cost is lowest when the number of items produced is 4.
4 items should be produced to minimize production cost.
Need help with #3, 4, 5
For the following examples:
3. It will cost $485.63 for David to refill his truck.4. The cost of concrete needed for the driveway is $918.14.5. Total cost of the top soil Susan needs is $264.45 from Holland Growers and $254.36 from Night Growers.How to determine cost and quantity?3. Dave's truck has a fuel capacity of 180 US gallons, but it is only one-quarter full, which means he needs 3/4 of 180 gallons = 135 gallons of diesel fuel.
To convert gallons to liters, multiply by 3.78541 (1 gallon = 3.78541 liters).
So Dave needs 135 gallons x 3.78541 liters/gallon = 511.66535 liters of diesel fuel.
The cost of diesel fuel is 94.9 C per liter, so the total cost for Dave to refill his truck is 511.66535 liters x 94.9 C/liter = $485.63.
4. To determine the volume of concrete Greg will need for his driveway, we first convert the dimensions to meters:
20 feet = 6.096 meters, 36 feet = 10.9728 meters, and 4 inches = 0.1016 meters.
Then use the formula for the volume of a rectangular solid: volume = length x width x height.
So the volume of concrete needed for Greg's driveway is 6.096 meters x 10.9728 meters x 0.1016 meters = 6.801 cubic meters.
The cost of the concrete is $135 per cubic meter, so the total cost for the concrete that he will need for his driveway is 6.801 cubic meters x $135/cubic meter = $918.14.
5. The volume of each planting box is 48 inches x 24 inches x 18 inches = 20736 cubic inches.
To convert cubic inches to cubic yards, divide by 46656 (1 cubic yard = 46656 cubic inches).
So each planter box requires 20736 cubic inches / 46656 cubic inches/cubic yard = 0.44444 cubic yards of potting soil.
Susan needs to build 35 planting boxes, so she will need 35 x 0.44444 cubic yards = 15.5554 cubic yards of potting soil.
Holland Growers charges $17 per cubic yard of potting soil, so the cost from them will be 15.5554 cubic yards x $17/cubic yard = $264.45.
Night Growers charges $21.50 per cubic meter of potting soil, which is equivalent to $16.34 per cubic yard (1 cubic meter = 1.30795 cubic yards).
So the cost from Night Growers will be 15.5554 cubic yards x $16.34/cubic yard = $254.36.
Therefore, the total cost of the topsoil she needs from each supplier is $264.45 from Holland Growers and $254.36 from Night Growers.
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Sarah’s room is in the shape of a rectangle that is 15 feet long and 11 feet wide. Which expression can she use to find the total amount of carpeting (in square feet) that she needs to cover the floor? A.15-11 B. 11x15 C.15+11 D. 2(15+11)
Answer:
The answer is choice B , 11 x 15
Step-by-step explanation:
To find area, you multiply one side by the adjacent side
11 and 15 are both adjacent, so you multiply to find the area of Sarah's room
Hope this helps !!!! Brainliest would be appreciated
Answer:
11x15
Step-by-step explanation:
it is the answer above because the dimensions of the room are 11 by 15 so written in an expression it is the answer above
Use the graph to find the limit (if it exists). (If an answer does not exist, enter DNE.) (a) lim
x→2
+
f(x) (b) lim
x→2
−
f(x) (c) lim
x→2
f(x)
The complete solution is summarized below:
lim x→2 + f(x) = 3
lim x→2 −f(x) = 1
lim x→2 f(x) DNE.
We have been provided with the following graph:
Limit from the right-hand side (x → 2+)
For the limit from the right-hand side (x → 2+), we approach the point 2 from the right-hand side.
From the graph, we can see that the value of y is approaching 3.
Therefore, lim x→2 +f(x) = 3
Limit from the left-hand side (x → 2-)
For the limit from the left-hand side (x → 2-), we approach the point 2 from the left-hand side.
From the graph, we can see that the value of y is approaching 1.
Therefore, lim x→2 −f(x) = 1
Overall Limit (x → 2)
When we look at the overall limit as x → 2, we can see that both the limit from the right-hand side and the limit from the left-hand side approach different numbers.
As the limit from both sides is different, we can say that the overall limit does not exist.
Therefore, lim x→2 f(x) DNE.
The complete solution is summarized below:
lim x→2 + f(x) = 3
lim x→2 −f(x) = 1
lim x→2 f(x) DNE.
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pleaseee helpp im giving away good points
Answer:
x = 1°
Step-by-step explanation:
Bisection means splitting the angle in to 2
So that means 4x-1 = 2x+1
4x-1 = 2x +1
4x = 2x + 2
2x = 2
x = 1°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the solution to this inequality?
6x – 5 > -29
A:x > -4.
B: x <-4
C: x > 4
D: x < 4
Answer:
A
Step-by-step explanation:
6x - 5 > - 29 ( add 5 to both sides )
6x > - 24 ( divide both sides by 6 )
x > - 4 → A
We are given with a inequality and we have to find the solution for it . So , let's start :
\({:\implies \quad \sf 6x-5\> -29}\)
Adding 5 to both sides :
\({:\implies \quad \sf 6x-\cancel{5}+\cancel{5}\>-29+5}\)
\({:\implies \quad \sf 6x\> -24}\)
Dividing both sides by 6 ;
\({:\implies \quad \sf \dfrac{\cancel{6}\cdot x}{\cancel{6}}\> -\dfrac{24}{6}}\)
\({:\implies \quad \bf \therefore \quad \underline{\underline{x \> -4}}}\)
Hence , Option A) x > - 4 is correct :D
Note :-Whenever dividing or multiplying an inequality by a -ve , so we have to tilt the sign too , while if we are multiplying or dividing with a +ve , so sign will remain the same , For example like if we are given with x > y , and we multiply both sides by -1 . So , it will then become - x < - y
5) What is the slope and the y-intercept of the line represented by the equation 4x + 3y - 12?
Answer:
-4/3
Step-by-step explanation:
y intercept is (0,4)
Can someone please help me on this? Will give brainlest for the best answer!
7: 1,070: 1.07x 10x10x10
8: 100
9: 19
Answer:
7. 1070
8. 100
9. 19
. 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.2ndquartile d.50thpercentile
The following is the least appropriate measure of central tendency for a data set that contains outliers is 2ndquartile.
A single number that seeks to characterise a set of data by pinpointing the centre position within that set of data is referred to as a measure of central tendency. As a result, measures of central location are occasionally used to refer to measures of central tendency. They also fit within the category of summary statistics. You are probably most familiar with the mean (sometimes known as the average), but there are additional central tendency measures, including the median and the mode.
The mean, median, and mode are all reliable indicators of central tendency, however depending on the situation, some indicators are more useful than others.
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Caroline wants to buy 100 g of spice mix from a British or French website.
The conversion rate is €1 = £0.85
What is the price, including delivery costs, that Caroline would pay for the spice mix from the cheaper website? Give your answer in pounds (£).
British website: £0.90 for 25 g Free delivery.
French website: €1.20 for 50 g €0.80 delivery per order.
The website which is cheaper for Caroline to buy the spice mix is French website.
Given data ,
Let's calculate the total cost for Caroline from both websites and determine which one is cheaper.
British website:
Price for 100 g = (£0.90 / 25 g) * 100 g = £3.60
Since the British website offers free delivery, the total cost remains £3.60.
French website:
Price for 100 g = (€1.20 / 50 g) * 100 g = €2.40
Delivery cost = €0.80
On simplifying the equation , we get
To convert the price and delivery cost to pounds, we'll use the conversion rate: €1 = £0.85.
Price in pounds = €2.40 * £0.85 = £2.04
Delivery cost in pounds = €0.80 * £0.85 = £0.68
Total cost = Price in pounds + Delivery cost = £2.04 + £0.68 = £2.72
Comparing the total costs:
British website: £3.60
French website: £2.72
Hence , Caroline would pay £2.72 for the spice mix from the cheaper website, which is the French website.
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Triangle HEF is the image of triangle HGF after a reflection across line FH.
Select all statements that must be true.
1.) Segment EH is congruent to segment FG.
2.) Triangle EFH is congruent to triangle GFH.
3.) Triangle FGH is congruent to triangle FEH.
4.) Angle HFE is congruent to angle FHG.
5.) Angle EFG is congruent to angle EHG.
6.) Segment GH is congruent to segment EH.
There are only there statements that are true,
2.) Triangle EFH is congruent to triangle GFH.
3.) Triangle FGH is congruent to triangle FEH.
6.) Segment GH is congruent to segment EH.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
here,
As one triangle is a reflection of the other,
1.) Segment EH is congruent to segment FG.
It is False.
2.) Triangle EFH is congruent to triangle GFH.
It is true.
3.) Triangle FGH is congruent to triangle FEH.
It is true.
4.) Angle HFE is congruent to angle FHG.
It is False.
5.) Angle EFG is congruent to angle EHG.
It is False.
6.) Segment GH is congruent to segment EH.
It is true.
Thus, the true statment has been mentioned above.
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Bernie deposited $90 in a savings account earning 10% interest, compounded annually.
Answer:
$119.79
Step-by-step explanation:
im like 95% sure this is right
Answer:
In three years Bernie total saving account would be $119.79
Step-by-step explanation:
The answer varies each year. In one year 10% of $90 is $9. Bernie total saving account would be $99 in the first year. In two years it would be $108.90( 10% of $99 = $9.9, $9.9 + $99 = $108.90). In three years Bernie total saving account would be $119.79( 10% of 108.90 = 10.89, $10.89 + $108.9 = $119.79) and so on.
30÷4
pls show the working
Answer:
7.5
Step-by-step explanation:
7.5
\( \sqrt{30} \)
- 28
------------
20
- 20
--------------
0
--------------
(Not a square root! I just used it to show how its being divided. And also on the left of the '30' is a 4, so 30 divided by 4 and so on.)
Sorry if the answer looks messy!
Answer:
15/2
Step-by-step explanation:
If you need to simplify it/it can't be a decimal then 15/2 would be your answer.
Work:
30/4 = 7.5 (decimal)
15 times 2 = 30 (15 goes into 30 twice evenly)
15/2 is the simplest you can make it without it being uneven.
15/2
Mary opens up a package of modeling clay, which comes as a rectangular prism, 2 cm by 3 cm by 8 cm. She molds it into a ball.
What is the radius of the ball?
The approximate the radius of the ball 2.15 cm.
What is the volume of the rectangular prism?
To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.
The volume of the rectangular prism is 2 cm x 3 cm x 8 cm = 48 cubic cm.
A sphere with volume V has a radius r given by the formula:
V = (4/3) * pi * r³
We can rearrange the formula to solve for r:
r = (V * 3 / 4 * pi)^(1/3)
Substituting the volume of the rectangular prism for V:
r = (48 * 3 / 4 * pi)⁻³
The value of r = (48 * 3 / 4 * pi)^(1/3) is approximately equal to 2.15.
hence, The approximate the radius of the ball 2.15 cm.
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if you invest 550.00 at a 4 percent interest rate what would be the intrest
100 POINTS
At what point do the lines represented by the equations y=3x+1 and y=−2x−8 intersect?A.(1,−8)
B.(−7,−20)
C.(2,−3)
D.(−95,−225)
Answer:
d
Step-by-step explanation:
A movie theater charges $9.50 for an adult ticket to an evening showing of a popular
movie. To help the local animal shelter, the theater management has agreed to reduce
the price of each adult ticket by $0.75 for every can of pet food a customer contributes
to a collection barrel in the theater lobby. Which of the following shows both an
equation in which y represents the cost of an adult ticket in dollars for a customer who
contributes x cans of pet food, and the graph of the cost if a customer brings in 2, 5, 8,
or 10 cans of pet food?
The linear function that represents the cost of an adult ticket in dollars for a customer who contributes x cans of pet food is of:
y = 9.5 - 0.75x.
The graph is given by the image shown at the end of the answer.
How to define the linear function?The general format of a linear function is given by the rule shown as follows:
y = mx + b.
The terms of the linear function are listed and explained as follows;
m is the slope, representing the rate of change of the output relative to the input.b is the y-intercept, representing the initial value of the funciton.The values of these terms in this function are given as follows:
m = -0.75, as for each food contributed, the cost decays by 0.75.b = 9.5, as with no food contributed, the cost is of $9.5.The costs for the amounts of cans are given as follows:
2 cans: y = 9.5 - 0.75(2) = 8.5 cans: y = 9.5 - 0.75(5) = 5.75.8 cans: y = 9.5 - 0.75(8) = 3.5.10 cans: y = 9.5 - 0.75(10) = 2.More can be learned about linear functions at https://brainly.com/question/24808124
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solve the following equation
Answer:
X= -1/3 or 4
Step-by-step explanation:
Answer:
x =-1/3 and x=4
Step-by-step explanation:
solve by factoring:
separate into two equations:
3x+1=0
8-2x=0
(when the products of factors equals zero, at least one factor is zero)
3x=-1
x=-1/3
-2x=-8
x=4
When the coffee is brewed according to directions, a pound of coffee beans yields 50 cups of coffee 14 cups = 1 qt2. how many kg of coffee are required to produce 200 cups of coffee?
1.738 kg of coffee are required to produce 200 cups of coffee.
What is Proportion?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.
Now it is given that,
1 pound of coffee yield 50 cups.
Since 1 pound = 0.4535 kg
Therefore, 0.4535 kg of coffee yield 50 cups.
Let x be the kgs of coffee that yields 200 cups of coffee.
Thus by proportion we can write,
0.4345 / 50 = x / 200
By cross multiplication we get,
50 x = 0.4345 * 200
⇒ 50x = 86.9
⇒ x = 86.9 / 50
⇒ x = 1.738 kgs
which is the required amount of coffee need to yield 200 cups.
Thus, 1.738 kg of coffee are required to produce 200 cups of coffee.
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Jamal and Betty shared a pizza that was cut into 10 equal slices, Jamal ate 1/2 and Betty ate 1/5 of the pizza.What percentage did Jamal and betty eat together? A.20% B. 50% C.70% D.100% (please help me)
Answer:
C) 70%
Step-by-step explanation:
There are 10 slices so 1/2=5/10 So Jamal ate half the pizza which would be 5 slices.
Betty ate 1/5=2/10 So Betty ate 2 slices of Pizza.
Brainliest plz
Answer:
1/2=5/10
1/5=2/10
2/10+5/10=7/10
7/10=70%
Step-by-step explanation:
Simplify...................
Answer:
(a+b)/2(a-b)
Step-by-step explanation:
Explained in the paper
Goodluck
Suppose the installation time X (in minutes) required for a certain software package is a continuous random variable with the probability density function $ 4.23 if 0
The probability that the installation time is less than or equal to 30 minutes is: P(X ≤ 30) = 4.23 × 30 = 126.9%
Let's discuss the probability density function (pdf) for the installation time X of a certain software package.
Given that the pdf is f(x) = 4.23 when 0 < x < 1, and f(x) = 0 otherwise, we can find the probability that the installation time is between two specific values, say, a and b.
To find the probability that the installation time X is between a and b (0 ≤ a < b ≤ 1), you need to integrate the pdf f(x) over the interval [a, b].
1. Write down the integral of the pdf f(x) over the interval [a, b]:
P(a < X < b) = ∫[a, b] f(x) dx
2. Since f(x) = 4.23 when 0 < x < 1, substitute this value into the integral:
P(a < X < b) = ∫[a, b] 4.23 dx
3. Integrate the function with respect to x:
P(a < X < b) = [4.23x]_[a, b]
4. Evaluate the integral at the limits a and b:
P(a < X < b) = 4.23b - 4.23a
To find the probability that the installation time is less than or equal to a certain value t, we need to integrate the probability density function from 0 to t:
P(X ≤ t) = ∫[0, t] f(x) dx = ∫[0, t] 4.23 dx = 4.23t
Therefore, the probability that the installation time is less than or equal to 30 minutes is:
P(X ≤ 30) = 4.23 × 30 = 126.9%
Now, you have the probability formula that the installation time X is between a and b. Remember, this formula is only valid for 0 ≤ a < b ≤ 1.
Suppose the installation time (in minutes) required for certain software package is continuous random variable with the probability density function 4x3 if 0 < x < 1 f(x) = {0 otherwise Find the expected value of the installation time in minutes = E(X) (Provide the exact answer:)
Complete Question:
Suppose the installation time (in minutes) required for certain software package is continuous random variable with the probability density function4x3 if 0 < x < 1 f(x) = 0 otherwise. Find the expected value of the installation time in minutes = E(X) (Provide the exact answer:)
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PLS HELP URGENT
A scatter plot is shown on the coordinate plane.
scatter plot with points plotted at 1 comma 3, 1 comma 4, 3 comma 3, 3 comma 4, 4 comma 4, 4 comma 6, 5 comma 7, 6 comma 7, 7 comma 9, 8 comma 8, 9 comma 10, and 10 comma 10
Which of the following graphs shows a line on the scatter plot that fits the data?
data?
scatter plot with points plotted at 1 comma 3, 1 comma 4, 3 comma 3, 3 comma 4, 4 comma 4, 4 comma 6, 5 comma 7, 6 comma 7, 7 comma 9, 8 comma 8, 9 comma 10, and 10 comma 10, with a line drawn through the points 1 comma 3 and 4 comma 6
scatter plot with points plotted at 1 comma 3, 1 comma 4, 3 comma 3, 3 comma 4, 4 comma 4, 4 comma 6, 5 comma 7, 6 comma 7, 7 comma 9, 8 comma 8, 9 comma 10, and 10 comma 10, with a line drawn through the points 3 comma 3 and 4 comma 4
scatter plot with points plotted at 1 comma 3, 1 comma 4, 3 comma 3, 3 comma 4, 4 comma 4, 4 comma 6, 5 comma 7, 6 comma 7, 7 comma 9, 8 comma 8, 9 comma 10, and 10 comma 10, with a line drawn through the points 0 comma 2 and 6 comma 7
scatter plot with points plotted at 1 comma 3, 1 comma 4, 3 comma 3, 3 comma 4, 4 comma 4, 4 comma 6, 5 comma 7, 6 comma 7, 7 comma 9, 8 comma 8, 9 comma 10, and 10 comma 10, with a line drawn through the points 1 comma 3 and 3 comma 4
what is the geometric mean between 7 and 12
Answer:
Geometric Mean = 9.17
Step-by-step explanation:
Here,
a = 7
b = 12
Geometric mean = root(ab)
= root( 7 x 12)
= root(84)
= 9.17
graph the equation y = 2 (x - 4)^2 + 5
Answer:
Step-by-step explanation:
gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. it forms a pile in the shape of a right circular cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 25 feet high?
Below is the answer
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can someone solve 1/2=6x+7(-3x-1/7)