Answer
1/4
Step-by-step explanation:
Given the right triangle ABC with Altitude BD drawn to hypotenuse AC.If AD=11 and BD=33 What is the length of DC
Answer:
DC = 99
Step-by-step explanation:
BD perpendicular AC
AD/BD = BD/DC
=> DC =DB^2/AD
=33^2/11=99
{calculate}
Sandra deposits $3,000 at the end of each semiannual period for 12 years at 10% interest compounded semiannually. determine the amount she will have in the account after 12 years. round to the nearest cent. a. $133,506.00 b. $140,181.30 c. $121,291.43 d. $70,568.14
The amount Sandra will have in the account after 12 years is b. $140,181.30 if she deposits $3,000 at the end of each semiannual period
We can determine the amount she will have in the account after 12 years by using the formula for future value as follows;
FV = P(1+i)×{ (1+i)^n - 1 } / i
Here;
FV = future value of the money after n periods
P = deposit per period
i = interest rate per period
n = the number of periods
Substituting the values in this equation to find the amount after 12 years as follows;
FV = 3000(1+0.05)×( (1+0.05)^24 - 1 ) / 0.05
FV = 3000(1+0.05)×( (1+0.05)^23 ) / 0.05
FV = 140,181.296 = 140,181.30
Hence the amount after 12 years is calculated to be $140,181.30
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Help me please i will mark brainliest
Answer:
The answer is 1/5
Step-by-step explanation:
The answer is 1/5
analysis of a pert problem shows the estimated time for the critical path to be 108 days with a variance of 64. there is a .90 probability that the project will be completed before approximately day: group of answer choices 108. 98. 115. 118. 109.
There is a .90 probability that the project will be completed before approximately day 118.
The given information can be solved by using the formula of z-score as follows:
Z = (X - μ)/σ
Where: Z = z-score
X = the time for project completion
μ = the mean time for the critical path
σ = standard deviation for the critical path
σ² = variance of the critical pathσ = √64
σ = 8
Given that the mean time for the critical path is μ = 108 days and σ = 8 days,
Therefore, the z-score of the completion of the project before 108 days is given by:
Z = (X - μ)/σ0.90
= P(Z < z)
= P(Z < (X - 108)/8)P(Z < (X - 108)/8)
= 0.90
Using a z-table or calculator, we find the z-value to be 1.28.
Then,1.28 = (X - 108)/8
Multiplying both sides by 8, we get:10.24 = X - 108
Adding 108 to both sides, we get: X = 118.24
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Determine the number of 4g cremora sachets that will make 1kg cremora box.
A total of 250 packets of 4g cremora will make 1kg cremora box.
What is function?A function is a elation between a dependent and independent variable.
Given are 4g cremora sachets.
We can write the total number of cremora sachets that will make 1kg cremora box as -
{n} = 1000/4
{n} = 250
Therefore, a total of 250 packets of 4g cremora will make 1kg cremora box.
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Help with my math plsss
Answer:
(B) rhombus
I think its B
a car start from rest and accelerates at the rate of 2m/s² for 5 seconds. it maintenance this velocity for another 5 seconds. it eventually undergoes a uniform deceleration and finally comes to rest after further 5 seconds.
A) draw the velocity-time graph for the journey
B) find the acceleration and deceleration respectively,
C) find the total distance travelled during each stage.
D) find the average velocity over the entire period
Answer:
2m/s² ; - 2m/s²
25m ; 50m ; 25m
6.67 m/s²
Step-by-step explanation:
The acceleration and deceleration :
Both rates are the Same from the graph ;
According to scenario described, acceleration = 2m/s²
Deceleration occurred in equal time interval = - 2m/s
Distance covered during each stage:
Stage 1 : area of triangle
0.5 * base * height
0.5 * 5 * 10 =25 m
Stage 2: area of rectangle :
Length * breadth = 5 * 10 = 50 m
Stage 3 : area of triangle
0.5 * base * height
0.5 * 5 * 10 =25 m
Average Velocity :
Total distance / time = (25 + 50 + 25) / 15 = 100/ 15 = 6. 67 m/s
Which statement about the graph is accurate? Point A is a relative minimum of the graph. Point B is a turning point of the graph. Point C is a maximum of the graph. Point D is a y-intercept of the graph.
Answer:
its C
Step-by-step explanation:
I just took the test
Answer:
point c
Step-by-step explanation:
gimme points and i will give explain
If two lines intersect, the four angles created by the intersecting lines all share the same ______, but they are _____ only if they are nonadjacent.
linear pairs
vertical angles
supplementary
sides
vertex
Step-by-step explanation:
vertex vertical angles
Create a scatterplot using the following data relating the number of cigarettes a day smoked by a parent and thenumber of days the child missed school in the last quarter of the school year. Draw your estimate of the line of best fit.Select and give the coordinates of two points on the line. Find the slope of the line you drew. Write a sentence thatsummarizes the relationship between the two variables.
The equation for the line of best fit is given by:
y = mx + b
In which m is the slope
They are given by:
\(m=\frac{n\sum^{}_{}xy-\sum^{}_{}x\sum^{}_{}y}{n\sum^{}_{}x^2-(\sum^{}_{}x)^2}\)\(b=\frac{\sum^{}_{}y-m\sum^{}_{}x}{n}\)Sum of x:
Sum of all values of x.
\(\sum ^{}_{}x=3\ast0+5+10+12+15+16+2\ast24+28+30+21+36_{}\)\(\sum ^{}_{}x=221\)Sum of y:
\(\sum ^{}_{}y=0+2\ast2+3+2\ast5+2\ast8+10+2\ast12+2\ast15+20\)\(\sum ^{}_{}y=117\)Sum of squares of x:
\(\sum ^{}_{}x^2=3\ast0^2+5^2+10^2+12^2+15^2+16^2+2\ast24^2+28^2+30^2+21^2+36^2_{}\)\(\sum ^{}_{}x^2=5323\)Sum of xy:
\(\sum ^{\infty}_{n\mathop=0}xy=0\ast(0+2+5)+5\ast3+10\ast5+12\ast8+15\ast10+16\ast2\)\(+24\ast(8+12)+28\ast15+30\ast15+21\ast20+36\ast12_{}\)\(\sum ^{}_{}xy=2545\)
Slope:
14 students, so n = 14.
Then
\(m=\frac{n\sum^{}_{}xy-\sum^{}_{}x\sum^{}_{}y}{n\sum^{}_{}x^2-(\sum^{}_{}x)^2}=\frac{14\ast2545-(221\ast117)}{14\ast5323-221^2}=0.38\)\(b=\frac{\sum^{}_{}y-m\sum^{}_{}x}{n}=\frac{117-0.38\ast221}{14}=2.36\)The line of best fit is y = 0.38x + 2.36. This means that for a parents that smokes x cigarettes a day, the child is expect to miss 0.38x + 2.36 days of school during the quarter.
Graphic
6. According to Statistics Canada, the number of cable television subscribers increased from about 1 151 000 in 2002 to about 1 393 000 in 2003. What was the mean number of new subscribers per month during that year?
The mean number of new subscribers per month during that year is 242000.
What is a mean?A mean simply means the average of the numbers given.
The number of cable television subscribers increased from about 1 151 000 in 2002 to about 1 393 000 in 2003.
The mean number of new subscribers will be:
= Change in numbers / Number of years
= (1393000 - 1151000) / 1
= 242000 / 1
= 242000
Therefore, the mean is 242000.
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Perform the indicated operations and simplify.
(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)
Let's simplify the expression step by step: Expand the squared term:
(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²
Expand the second term:
3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)
Expand the third term:
x(3x + 4y + 3) = 3x² + 4xy + 3x
Now, let's combine all the expanded terms:
(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)
= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x
Combining like terms:
= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x
= 7x² - 5xy + 5y² + 3x
The simplified form of the expression is 7x² - 5xy + 5y² + 3x.
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Calculate the following using the Long Division Method. Do not use a calculator. 8328÷24
Answer:347
Step-by-step explanation:=
347 ⇔ 347 R 0
8328 divided by 24
=
347 with a remainder of 0
What is the quotient of 81/(-9)/(-3)
Answer:
3
Step-by-step explanation:
81/(-9)/(-3)=3
The number 3 is prime number.
Three segments (a, b, and c) of trump enterprises have net sales of $300,000, $150,000, and $50,000, respectively. a decision is made to allocate the pool of $25,000 of administrative overhead expenses of the home office to the segments, using net sales as the basis for allocation.
Three segments a, b, and c using net sales as the basis for allocation is = $475,000.
Based on the given conditions,
Three segments are a , b , c
The segment a of trump enterprises have net sales = $300,000
The segment b of trump enterprises have net sales = $150,000
The segment c of trump enterprises have net sales = $50,000
a net sales + b net sales + c net sales = $300,000 + $150,000 + $50,000
= $500,000
If the unit is eliminated, then the a net sales and b net sales will be gone, but the c net sales will be allocated to other business units.
So instead of losing $500,000,
A decision is made to allocate the pool = $25,000
The company's net sales as the basis for allocation by $500,000 - $25,000 = $475,000
Therefore,
Three segments a, b, and c using net sales as the basis for allocation is =
$475,000.
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Two angles are supplementary. The differ-
ence of their measures is 172". Find the
measure of the larger angle
Lets denote:
x --- Angle 1
y --- Angle 2
Two angles are supplementary:
x + y = 180
The difference of their measures is 172
x - y = 172
Them we have the system:
x + y = 180
x - y = 172
-------------- Add both equations:
2x = 352
x = 352/2
x = 176
R/ The measure of the larger angle is 176°i need help pleaseee its due in 10 min
Use the laplace transform to solve the given initial-value problem. y' + y = (t − 1), y(0) = 3
The partial fraction decomposition is:
Y(s) = 4/(s + 1)
1. Take the Laplace transform of both sides of the differential equation.
2. Solve for the Laplace transform of the unknown function.
3. Find the inverse Laplace transform to obtain the solution in the time domain.
Step 1: Taking the Laplace transform of both sides
Applying the Laplace transform to the differential equation, we have:
L[y'] + L[y] = L[t - 1]
Using the linearity property of the Laplace transform, we get:
sY(s) - y(0) + Y(s) = 1/s^2 - 1/s
where Y(s) represents the Laplace transform of y(t), and y(0) is the initial condition y(0) = 3.
Step 2: Solve for the Laplace transform of the unknown function
Combining like terms and isolating Y(s), we have:
Y(s)(s + 1) = 1/s^2 - 1/s + y(0)
Y(s)(s + 1) = (1 - s + s^2)/s^2 + 3
Now, let's simplify the right side of the equation:
Y(s)(s + 1) = (1 - s + s^2 + 3s^2)/s^2
Y(s)(s + 1) = (4s^2 - s + 1)/s^2
Dividing both sides by (s + 1), we get:
Y(s) = (4s^2 - s + 1)/(s^2(s + 1)
Step 3: Find the inverse Laplace transform
To simplify the expression further, we need to decompose the right side using partial fractions. Let's find the partial fraction decomposition:
Y(s) = (4s^2 - s + 1)/(s^2(s + 1)
To find the partial fractions, we write Y(s) as:
Y(s) = A/s + B/s^2 + C/(s + 1)
Multiplying through by s^2(s + 1), we have:
4s^2 - s + 1 = A(s^2 + s) + B(s + 1) + Cs^2
Expanding and equating coefficients, we get the following system of equations:
4s^2 - s + 1 = As^3 + As^2 + Bs^2 + B + Cs^2
4s^2 - s + 1 = As^3 + (A + B + C)s^2 + B + 1
Equating coefficients for each power of s:
s^3 coefficient: A = 0 (since the left side has no s^3 term)
s^2 coefficient: A + B + C = 4
s coefficient: 0 = -1
s^0 coefficient: B + 1 = 1
From the second and fourth equations, we find B = 0 and C = 4. Plugging these values back into the equation for A + B + C = 4, we find A = 0.
Therefore, the partial fraction decomposition is:
Y(s) = 4/(s + 1)
Now, we can find the inverse Laplace transform. Using a table of Laplace transforms, we find that:
L^(-1){Y(s)} = L^(-1){4/(s + 1)} = 4e^(-t)
Hence, the solution to the initial-value problem is:
y(t) = 4e^(-t)
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Please help I will give brainliest
The congruent figures are given as follows:
LMNOP and YAHFS.EFCD and XUYW.MON and TUE.What are congruent figures?Congruent figures are figures whose outer side lengths have the same measures. They may have different orientations, but the outer side lengths have to be the same.
Hence the congruent figures in this problem are given as follows:
LMNOP and YAHFS.EFCD and XUYW.MON and TUE.They have different orientations(rotated), but same side lengths.
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help ME PLEASE HELP ME I HATE MATH I HATE IT YOU DONT NEED TO EXPLAIN IT I JUST NEED AN ANSWER
Answer:
674
Step-by-step explanation:
Answer:
woah woah woah woah calm down there buddy its 674 :)
Multiply 5c(9 − 4c).
Answer:
45c−20c2
Step-by-step explanation:
have great day
A hairdresser combined three bottles of shampoo into one bottle. The first bottle had 4.8 ounces of shampoo, the second bottle had 5.4 ounces, and the third bottle had 6.6 ounces. The hairdresser used 2/5 of the shampoo from the new bottle when she washed her hair. How many ounces of shampoo did she use?
The Hairdresser used 6.72 ounces of shampoo , she washed her hair.
The shampoo the hairdresser used, we need to calculate 2/5 of the total amount of shampoo in the new bottle.
The total amount of shampoo in the new bottle is obtained by adding the amounts from the three bottles: 4.8 ounces + 5.4 ounces + 6.6 ounces.
Adding these values, we get:
4.8 ounces + 5.4 ounces + 6.6 ounces = 16.8 ounces
So, the new bottle contains a total of 16.8 ounces of shampoo.
To calculate 2/5 of the total amount of shampoo, we multiply 16.8 ounces by 2/5:
(16.8 ounces) * (2/5) = 33.6/5 ounces = 6.72 ounces
Therefore, the hairdresser used 6.72 ounces of shampoo when she washed her hair.
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The statement “1cm represents 2m” is the scale of the drawing. It can also be expressed as “1cm to 2m” or “1cm for every 2m.” What do you think the scale tells us?
Answer:
A scale is a way to resize drawings or figures to make them fit into a particular size.
Step-by-step explanation:
In 2D drawing or diagrams, a scale factor greater than 1 enlarges the object, while a scale factor between 0 and 1 shrinks the objects, also using a scale factor of 1 changes nothing or leaves the drawing the way it is.
Furthermore, scales are represented in ratio form 1:2, telling us that say 1cm in the virtual environment or paper represents 2km in reality
Will give brainliest to the first person
Step-by-step explanation:
Area=b×h
= (x+5)×(x+6)
=x^2+6x+5x+30
=x^2+11x+30
If u simplify u will get (x+5)(x+6) as answer.
Keep smiling and hope u are satisfied with my answer.Have a good day :)
Is this right if not what’s the correct answer
hey friend your answer is
I hope it will helpful for you
mark as brainest answer
thank you
Select all of the scales that are equivalent to 3 cm to 4 km.
0.75 cm to 1 km
1 cm to 3/4 km
6 km to 8 cm
7.5 to 10 km
the answers is 1,3,and 4
Fred is training for a cross-country race. At practice last week, he ran 6.25 miles in 1 1 4 hours. At that speed, how long would it take Fred to run 8.5 miles?
Answer: 155.04
Step-by-step explanation:
1) Find the amount of hours Fred runs 1 mile
- divide 6.25 by 6.25 and 114 by 6.25 (18.24)
2) Multiple back up to 8.5
- 1 by 8.5 (miles) and 18.24 by 8.5 (time)
For 155.04 hours, Fred runs 8.5 miles.
Hope this helps:)
[7th Grader]
HELP PLS -----------------
The TQ is a chord, PR is a secant line and WU is a tangent line.
What is Circle?Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.
A chord of a circle is the line segment joining two points on the circle.
Line segments TQ and QV are chords.
TV is also a chord, which is the diameter.
A secant line is a line which intersects the circle at two different points.
Line PR is a secant line which intersects the circle at T and Q.
A tangent line is a line which intersects the circle at exactly one point.
Line WU is a tangent line which intersects the circle at V.
Hence the chords in the given figure are TQ and QV, secant line is PR and tangent line is WU.
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help me please I need help with all lol
Pls how do I solve
b) log₂ (7y-1)=3+log₂ (y-1).
Step-by-step explanation:
Put the logs on the same side.
\( log_{2}(7y - 1) - log_{2}(y - 1) = 3\)
Using log rules, whenever you separate two logs using subtraction and they have the same base, we can write them as one log where they are a rational function
\( log_{2}( \frac{7y - 1}{y - 1} ) = 3\)
Let both of these expression be the power of a exponent with base 2.
\(2 {}^{ log_{2}( \frac{7y - 1}{y - 1} ) } = 2 {}^{3} \)
The base 2 and log base 2 cancel out
\( \frac{7y - 1}{y - 1} = 8\)
When y =1, we will get undefined so y cannot be 1
However, multiply both sides by y-1
\(7y - 1 = 8(y - 1)\)
\(7y - 1 = 8y - 8\)
\(7 = y\)