Answer:
Add the information, and find the second number.
Step-by-step explanation:
"She throws them 8.49 m/s high"
8.49 + ? = ?
"Her friend catches them 2.89 m/s higher"
8.49 - 2.89 = 5.60
The reason why you must subtract is because it is asking how high it is in the air, going up and down.
8.49 + 5.60 = ?
8.49 + 5.60 = 14.09
Which means, it was in the air for 14.09 m/s.
To conduct a test of hypothesis with a small sample, we make an assumption that?
To conduct a test of hypothesis with a small sample, we make an assumption that the population is normally distributed .
What is normal distribution?
A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.
The normal distribution appears as a "bell curve" on a graph.
A probability bell curve is more properly described as the normal distribution.The mean and standard deviation of a normal distribution are 0 and 1, respectively. It has a kurtosis of 3 and zero skew.Not all symmetrical distributions are normal, but all normal distributions are symmetrical.Natural occurrences frequently resemble the usual distribution.To know more about normal distribution........
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When I was 4 years old my sister was half of my age.Now I am 100 years. How old is my sister?
Answer:
when you 4, your sister is 2 years old
now that you 100, your sister should be 50 years old
half equal x/2 x indicates 100
helpppppppppp please!
Answer:
c is the answer
Step-by-step explanation:
hope this helps
Answer:
The answer would be A
Step-by-step explanation:
3 x 4pt and 3 x p which equals 12pt + 3p
Help me please i need help with my math hw
Answer:
answer of 1st picture
second is not under standing much
Creative landscaping has 60 yards of fencing with which to enclose a rectangular flower garden. If the garden is X yards long, express the Gardens area as a function of length
Answer:
\(\texttt{Area = Length x Width}\\\\\texttt{Area =}x\times (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2\)
Area, A(x) = 30x - x² , as a function of the length (x).Step-by-step explanation:
Creative Landscaping has 60 yard of fencing with which to enclose a rectangular garden.
If the garden is X yards long, express the Gardens area as a function of length
Let x be the length of garden
So perimeter of rectangle = 60 yard
Perimeter = 2 * ( Length + width)
60 = 2 * ( x + width)
Width = 60/2 - x
Width= 30 - x
\(\texttt{Area = Length x Width}\\\\\texttt{Area =}x\times (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2\)
Area, A(x) = 30x - x² , as a function of the length (x).write, but do not evalutate, an ittegral expression of the volume of the solid generated when r is roated about the horizantal line y=6
The integral expression of the volume of the solid generated when r is roated about the horizantal line y=6 is, V = π∫[f(y)]^2 dy
Let's consider the region bounded by the function r=f(y) and the horizontal line y=6 in the xy-plane, where r represents the distance between the y-axis and a point on a curve.
When this region is rotated around the horizontal line y=6, it generates a solid whose volume can be expressed as an integral in terms of y as follows:
V = π∫[f(y)]^2 dy
Here, the limits of integration are determined by the range of y-values for which the curve exists within the region bounded by the x-axis and the line y=6.
Note that we have not evaluated this integral yet since we do not have enough information about the specific function f(y).
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Which system of equations does the graph represent?
A) y = 2x + 2
y = -3x + 4
B) y = x + 2
y = -x + 4
C) y = 2x + 4
y = -3x + 2
D) y = -x + 2
y = x + 4
Answer:
The answer is B) y= x + 2
y= - x + 4
(78000/ 19110) x100=
Answer:
= 408.16 or =20000/49
Step-by-step explanation:
= (78000/ 19110) x100
= (200/49)*100
=20000/49
Kathy has $2.10 in her pocket. She only has two different types of coins. She has the same number of each coin. What kinds of coins does she have and how many of each does she have?
Answer:
6 quarters and 6 dimes
Step-by-step explanation:
since there is 6 quarters it would be 6x$.25 which is $1.50, and each dime is worth 10 cents so 6x$.10 is $.60, and $1.50+$.60=$2.10
How many degrees is angle RQS and Angle TQS?
Answer:
180 degrees
Step-by-step explanation:
Angle RQS + Angle RQS = 180 degrees
Answer:
RQS = 102 TQS= 78
Step-by-step explanation:
a meteorologist found from the past year's records that it rained 21 dof that days based on this information what is the probability that for arnadom sample of 18 days it rained 4 of those days
here is a 19.8% probability that for a random sample of 18 days, it will rain exactly 4 of those days.
The meteorologist can use probability to determine the likelihood of it raining on a certain number of days in a random sample of 18 days. Based on the past year's records, the probability of it raining on any given day is 21/365, or approximately 0.0575. Using the binomial distribution formula, the probability of it raining exactly 4 times in a random sample of 18 days is:
P(4) = (18 choose 4) * (0.0575)^4 * (1 - 0.0575)^(18 - 4)
P(4) = 0.198
Therefore, there is a 19.8% probability that for a random sample of 18 days, it will rain exactly 4 of those days.
This probability is based on the assumption that the weather patterns will remain similar to the past year's records.
more
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What is the slope of the line from the data shown in the table below? It’s question 9 by the way.
Answer:
Its b
Step-by-step explanation:
It is going up by 10
The price of a factory machine is R900000 but depreciates at 5% per annum. Calculate the depreciated value of the machine after 6 years if: 4.5.1 the depreciation is at simple interest rate. (3) 4.5.2 the depreciation is at compound interest rate. (3) 4.6 The rate of inflation is at 6% per annum compounded annually. Determine the price of the new machine in 4.5 after 6 years. Hence calculate how much extra needs to be paid if the machine in 4.5.2 is traded in.
So, if the machine in 4.5.2 is traded in, approximately R615,060 extra needs to be paid.
To calculate the depreciated value of the machine after 6 years, we can use both simple interest and compound interest.
4.5.1 Depreciation at simple interest rate:
The formula for simple interest is:
Depreciated value = Initial value - (Initial value * depreciation rate * time)
In this case, the initial value is R900,000, the depreciation rate is 5% (or 0.05), and the time is 6 years. Plugging in these values into the formula, we get:
Depreciated value = R900,000 - (R900,000 * 0.05 * 6) = R900,000 - R270,000 = R630,000
So, the depreciated value of the machine after 6 years, with simple interest depreciation, is R630,000.
4.5.2 Depreciation at compound interest rate:
The formula for compound interest is:
Depreciated value = Initial value * (1 - depreciation rate)^time
Again, the initial value is R900,000, the depreciation rate is 5% (or 0.05), and the time is 6 years. Plugging in these values into the formula, we get:
Depreciated value = R900,000 * (1 - 0.05)^6 = R900,000 * 0.95^6 ≈ R900,000 * 0.7351 ≈ R661,590
So, the depreciated value of the machine after 6 years, with compound interest depreciation, is approximately R661,590.
4.6 To determine the price of the new machine in 4.5 after 6 years, we need to take into account the rate of inflation, which is 6% compounded annually. This means that the price of the new machine will increase by 6% each year.
To calculate the price of the new machine, we can use the formula for compound interest:
New price = Initial price * (1 + inflation rate)^time
In this case, the initial price is R900,000, the inflation rate is 6% (or 0.06), and the time is 6 years. Plugging in these values into the formula, we get:
New price = R900,000 * (1 + 0.06)^6 ≈ R900,000 * 1.4185 ≈ R1,276,650
So, the price of the new machine after 6 years, with the 6% inflation rate, is approximately R1,276,650.
To calculate how much extra needs to be paid if the machine in 4.5.2 is traded in, we need to subtract the depreciated value of the machine in 4.5.2 from the price of the new machine.
Extra payment = Price of new machine - Depreciated value of machine in 4.5.2
Plugging in the values, we get:
Extra payment = R1,276,650 - R661,590 ≈ R615,060
So, if the machine in 4.5.2 is traded in, approximately R615,060 extra needs to be paid.
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A company manufacturers and sells a electric drills per month. The monthly cost and price-demand equations areC(x) = 75000 + 70x,P= 160 - x/30 , 0 < 2 < 5000.(A) Find the production level that results in the maximum profit.Production Level =(B) Find the price that the company should charge for each drill in order to maximize profit.Price =
Given the cost and demand functions:
\(\begin{gathered} C(x)=75000+70x \\ p(x)=160-\frac{x}{30} \\ 0\leq x\leq5000 \end{gathered}\)we can find the revenue with the following expression:
\(R(x)=xp(x)=160x-\frac{x²}{30}\)then, the profit can be calculated with the difference between the revenue and C(x):
\(P(x)=R(x)-C(x)=160x-\frac{x²}{30}-75000-70x=90x-\frac{x²}{30}-75000\)to find the max profit, we can find the derivative of P(x) and find its root to get the value of x that maximizes the function P(x):
\(\begin{gathered} P(x)=90x-\frac{x²}{30}-75000 \\ \Rightarrow P^{\prime}(x)=90-\frac{2}{30}x=90-\frac{1}{15}x \\ P^{\prime}(x)=0\Rightarrow90-\frac{1}{15}x=0 \\ \Rightarrow\frac{1}{15}x=90 \\ \Rightarrow x=90*15=1350 \\ x=1350 \end{gathered}\)therefore, the production level that results in the maximum profit is x = 1350.
Finally, to find the price, we can evaluate x = 1350 on p(x):
\(p(1350)=160-\frac{1350}{30}=160-45=115\)therefore, the price that the company should charge for each drill to maximize profit is $115
Santiago’s total budget for the materials to build the ramp and the foam pit is 3,000. With his current design, will he be over budget or under budget, and by how much?
Total cost to build the ramp is $1467.4. Santiago’s has over budget to build the ramp.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Here,
Area of 2 rectangles is
2(Length×Width)
= 2(20×12)
= 480 square feet
Area of small rectangle = 12×8.5
= 102 square feet
Area of 2 triangles = 1/2×Base×Height
= 1/2 ×20×8.5
= 85 square feet
Total area = 480+102+85
= 667 square feet
Total cost to build the ramp = 667×2.20
= $1467.4
Santiago’s total budget for the materials to build the ramp and the foam pit is $3,000.
Hence, Santiago’s has over budget to build the ramp.
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"Your question is incomplete, probably the complete question/missing part is:"
The material Santiago will use to build the ramp cost $2.20 per square foot. Find the total cost of materials for the ramp? All sides are; 21.7, 20, 12 for perimeter and 8.5 for the height.
Santiago’s total budget for the materials to build the ramp and the foam pit is 3,000. With his current design, will he be over budget or under budget, and by how much?
Question
Complete the statement. Round to the nearest hundredth if necessary.
9.2 in. ≈
cm
Question
Complete the statement. Round to the nearest hundredth if necessary.
9.2 in. ≈
cm
Answer:
29 BECUSE JUST BECUSE
Step-by-step explanation:
Target sells skateboards for $35. To make a profit in the Spring and Summer months,
Target increases the price with a 42% markup. How much is the markup?
Answer:
$14.7
Step-by-step explanation:
To find the markup, you can use the following formula:
markup = (selling price - cost price) / cost price x 100
cost price = $35
selling price = $35 + markup
markup = (selling price - $35) / $35 x 100
Now you know that selling price = $35 + markup and markup = 42%, so you can use this information to find selling price:
markup = 42% = 0.42
selling price = $35 + $35*0.42 = $35+14.7 = $49.7
So the markup is $14.7
!!PLEASE HELP!!
f(x)=3x^3 −2x^2+4x−5
g( x )= 6x− 7
Find (f+g)(x).
Answer:
fx+gx=3x^3-2x^2+10x-12
Step-by-step explanation:
The value of the (f + g)(x) will be (f + g)(x) = 3x³ − 2x² + 10x − 12.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
The functions are given below.
f(x) = 3x³ − 2x² + 4x − 5
g(x) = 6x − 7
Then the value of the (f + g)(x) will be
(f + g)(x) = f(x) + g(x)
(f + g)(x) = 3x³ − 2x² + 4x − 5 + 6x − 7
(f + g)(x) = 3x³ − 2x² + 10x − 12
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Equation of a line that goes through point (4,2) and perpendicular to -x+y=1
Answer:
y= -x + 6
Step-by-step explanation:
-x + y =1 ---> y = x+1
the line perpendicular to this line should have negative inverse slope
the slope is 1 so the negative inverse of 1 is -1
set up
y = -x +b
since it goes through (4,2)
then we have
2 = -4 +b
b=6
so the linear equation is y = -x+6
can someone plz help me
9514 1404 393
Answer:
C. 168
Step-by-step explanation:
One of the more useful approaches to multiple choice problems is eliminating the answers that don't make any sense.
You know a square has internal angles of 90 degrees, and that polygons with more sides have larger angles. No internal angle can be more than 180 degrees in a regular polygon. The only answer choice in this range is the correct one:
C. 168
Answer: C.168
Step-by-step explanation:
What are the null and alternative hypotheses to test that there is not a relationship between two numerical variables?
Which exponential function is graphed here.
A) y= 5x
B) y= 5e^x
C) y= 5^x+1
D) y=5^x+1
Answer:
Y=5x
Step-by-step explanation:
Need help asappppppp
Answer:
press control u on ur google forms quiz than scroll all the way down to the questions and the answer should be right next to them.
(NEED HELP ASAP!!)
What are the coordinates of the focus of the parabola?
A: (8, 6)
B: (-8, 6)
C: (-8, 2)
D: (8, 2)
Answer:
C: (-8, 2)
Step-by-step explanation:
Given parabola:
\(y=-\dfrac{1}{8}x^2-2x-4\)
For the quadratic equation in the form y = ax² + bx + c, the x-value of the vertex is -b/2a.
Therefore, the x-value of the vertex of the given parabola is:
\(\implies x=-\dfrac{b}{2a}=-\dfrac{-2}{2\left(-\frac{1}{8}\right)}=-8\)
To find the y-value of the vertex, input x = -8 into the given equation:
\(\implies y=-\dfrac{1}{8}(-8)^2-2(-8)-4=4\)
Therefore, the vertex (h, k) of the parabola is (-8, 4).
The focus of the parabola is (h, k+p) where:
(h, k) is the vertex\(p=\dfrac{1}{4a}\)Therefore:
\(\implies \textsf{Focus}=\left(-8,4+\dfrac{1}{4\left(-\frac{1}{8}\right)}\right)=\left(-8,2)\)
A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°
Answer:
d) 360
Step-by-step explanation:
Answer: D. R0, 360°
Step-by-step explanation: RIGHT ON EDGE 2023
Perform the indicated operation.Perform the indicated operation.
-50
-95
-20
none of the above
PLEASE HELP ASAP!!!!
\(Hello\) \(There!\)
Quite easy...
It's -20.
Hopefully, this helps you!!
P.S I love late points.
:>
\(AnimeVines\)
Multiply and rewrite as a trinomi
Step-by-step explanation:
Using the FOIL method:
First: X * X = X^2
Outer: X * 5 = 5X
Inner: 3 * X = 3X
Last: 3 * 5 = 15
Combining like terms, we get:
X^2 + 8X + 15
Therefore, (X+3)(X+5) = X^2 + 8X + 15.
Given :-
(x+3)(x+5)To find:-
To write it as a trinomial.Answer:-
The given expression is (x+3)(x+5) and we are interested in writing it as a trinomial . A trinomial is a algebraic expression that has three terms in it .
So , we can simply the given expression as ,
\(\implies (x+3)(x+5) \\\)
\(\implies x(x+5)+3(x+5) \\\)
\(\implies x^2 + 5x + 3x + 15 \\\)
\(\implies \underline{\underline{ x^2+8x+15}} \\\)
Hence last choice is correct.
And we are done!
Help with all three IM CONFUSED
Answer:
How does y vary with x?
This is called direct variation and to find proportionality, we use the formula y/x = K
Step-by-step explanation:
The first table's results would look like:
6:15
12:30
18:45
24:60
30:75
To do these, you divide the y values by the constant to receive x.
If you need more help, you message me :) Good luck with your work!
Answer: k=x/y
Step-by-step explanation: Voila
2cm
5cm
10cm
Which equation can be used to find the volume of the right rectangular prisms?
A)
V = (10)(5)
B)
V = (10)(2)
C)
V = (10)(5)(2)
D)
V = 10(5 + 2)2
Pls help ASAP
Answer:
C
Step-by-step explanation:
Retangular prisms volume= lengthxwidthxheight
therefor you have to include all three number making you answer C
f(x) = 4x3 + 6x2 – 3x – 4g(x) = 4x – 3Find (f - 9)(x).A. (f - g)(x) = 4x3 + 6x2 + x - 1B. (f - g)(x) = 4.23 + 6x2 – 7x – 7c. (f - g)(x) = 4x3 + 6x2 + x - 7O D. (f - g)(x) = 4x3 + 6x2 – 7x - 1SUBMIT
Step1:
You are to subtract g(x) from f(x)
Step2:
Simplify and collect like terms
therefore,
\(\begin{gathered} \\ (f-g)x=4x^3+6x^2\text{ - 3x - 4 - (4x - 3)} \\ =4x^3+6x^2\text{ - 3x - 4 - 4x + 3} \\ \text{Next add like terms} \\ =4x^3+6x^2\text{ -7x - 1} \end{gathered}\)Option D is the correct answer