Answer:
-14/3
Step-by-step explanation:
Use derivative = 0 to find turning point(S)
D f(x) = 3x + 10 = 0
3x = - 10
X = - 10/3
When X = - 10/3
F(x) = 1.5(10/3)^2 - 10(10/3) + 12
= (3*10*10) / (2*3*3) - 100/3 +12
= 50/3 - 100/3 + 36/3
= - 14/3
can you please help me I give you extra points
Answer:
( -6 , 4 ) , ( -5 , 6 ) , (-3 , 6 ) , (-1 , 4 )
PLEASE HELP!
Correct answers will be mark as brainliest
Wrong answers will be reported
Answer:
x = 45
p = 18
Step-by-step explanation:
HELP ME PLEASE I NEED HELP
Step-by-step explanation:
here you go best of luck on this
Solve for y: 3y + 5 - 8y = 2y - 7 - 4y
A y = - 4
B y = 12/7
C y = 4
D y = 2/3
When observing a performance or movement pattern, you should break down the complex skills into which of the following:
A. Stylistic parts
B. none of these
LC. Component parts
D. Tactical parts
When observing a performance or movement pattern, you should break down the complex skills into component parts.
What are complex skills?Complex skills are skills that are composed of many parts. This makes it difficult to engage in these sort of skills without a rigorous training.
Thus, when observing a performance or movement pattern, you should break down the complex skills into component parts.
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WHICH ONE? NEED ASAP THANK YOU
Answer:
see below
Step-by-step explanation:
the third one
8m^2-5m^+9m^2-9-4-2m
You add 8 and 9, as they have the same exponents, and as there is only one answer witha positive 17, it is ur answer
Jessie designed a sculpture that is shaped like a circle. The circumference of the sculpture is π meters.
Which measurement is closest to the area of the sculpture in square meters?
31.4 m²
78.5 m²
62.8 m²
314 m²
The required area of the sculpture that is shaped like a circle is [tex]78.5m^2[/tex].
Given that,
Jessie designed a sculpture that is shaped like a circle,
The circumference of the sculpture is 10π meters.
We have to determine,
Which measurement is closest to the area of the sculpture in square meters.
According to the question,
Circumference of the circle = [tex]2\pi r[/tex]
Where, circumference = [tex]10\pi[/tex]
Then,
[tex]10\pi =2\pi r[/tex]
[tex]r=\frac{10\pi }{2\pi }[/tex]
[tex]r=5m[/tex]
Therefore,
Jessie designed a sculpture that is shaped like a circle.
Area of the circle = [tex]\pi r^2[/tex]
Where, r = 5m
Then,
Area of the circle is given by,
[tex]=\pi r^2[/tex]
[tex]=3.14[/tex] × [tex](5)^2[/tex][tex]=3.14[/tex] × [tex]25[/tex][tex]=78.5m^2[/tex]
Hence, The required area of the sculpture that is shaped like a circle is [tex]78.5m^2[/tex].
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Was I supposed to put a greater number than 10 on top of the 4? What am I supposed to do and why?
Answer:
So looking at the expression that was given to us, we know that we must solve for g. In order to solve for g we need to make sure that g is alone on one side of the expression. In this example, we need to multiply both sides by 4 to get rid of the fraction on the left and in effect we would multiply 12 by 4 also.
[tex]\frac{g}{4} > 12[/tex]
[tex]\frac{g}{4}*4 > 12*4[/tex]
[tex]g > 48[/tex]
Therefore, our final answer is [tex]g > 48[/tex]
Hope this helps! Let me know if you have any questions
Answer:
g > 48
Step-by-step explanation:
g/4 > 12
g > 12*4
g > 48
If p2-8 = 17, which of the following
is a possible value of P
Answer:
+ 5, - 5
Step-by-step explanation:
p^2 - 8 = 17
p^2 = 17 + 8
p^2 = 25
= 5 x 5
p^2 = 5^2
p = ± 5
The price of a skateboard is reduced by 25%. The original price was $120. Find the new price.
A.
$95
B.
$80
C.
$90
New price = 90 dollars
25% of 120 = 30
Price is reduced 25% from 120 so,
120 - 30 = 90
Amount of discount = 30
I need help with 5,6,7 please
Answer:
see explanation
Step-by-step explanation:
the arc length of a circle is calculated as
arc = circumference of circle × fraction of circle
(5)
circumference (C) is calculated as
C = 2πr ( r is the radius )
here diameter = 12 , then r = 12 ÷ 2 = 6
C = 2π × 6 = 12π ≈ 37.7 m ( to the nearest tenth )
(6)
JK = 2πr × [tex]\frac{75}{360}[/tex]
= 2π × 7 × [tex]\frac{5}{24}[/tex]
= 14π × [tex]\frac{5}{24}[/tex]
= [tex]\frac{14\pi (5)}{24}[/tex] ≈ 9.2 in ( to the nearest tenth )
(7)
7.5 = 2πr × [tex]\frac{120}{360}[/tex]
7.5 = 2πr × [tex]\frac{1}{3}[/tex] ( multiply both sides by 3 to clear the fraction )
22.5 = 2πr ( divide both sides by 2π )
r = [tex]\frac{22.5}{2\pi }[/tex] ≈ 3.6 ft
Your puppy dug up two-thirds of the flowers in the flower bed that contained 18 flowers. How many flowers were dug up?
Answer:
12 :)
Step-by-step explanation:
18/3 = 6
Now we multiply :)
6 x 2 = 12
Have an amazing day!!
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write a event that has a probability of 0
A company manufactures and sells shirts. The daily profit the company makes depends on how many shirts they sell. The profit, in dollars, when the company sells xx shirts can be found using the function f(x)=6x-70.f(x)=6x−70. Find and interpret the given function values and determine an appropriate domain for the function.
f(−2)=
, meaning if the company sells
shirts, they would make a profit of
dollars. This interpretation
in the context of the problem.
f(12)=f(12)=
, meaning if the company sells
shirts, they would make a profit of
dollars. This interpretation
in the context of the problem.
f(17.5)=f(17.5)=
, meaning if the company sells
shirts, they would make a profit of
dollars. This interpretation
in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the function is
.
The amount of the profit at x = -2 can not be determined because the number of the shirt can not be negative. Then the amount of the profit at x = 12 is $ 2 and at x = 17.5 is $ 35.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A company manufactures and sells shirts.
The daily profit the company makes depends on how many shirts they sell.
The profit, in dollars, when the company sells x shirts can be found using the function f(x) = 6x − 70.
Find and interpret the given function values and determine an appropriate domain for the function.
Then at x = −2, then the profit will be
For this condition, the amount of the profit can not be determined because the number of the shirt can not be negative.
Then at x = 12, then the profit will be
f(12) = 6 × 12 − 70
f(12) = 72 − 70
f(12) = $ 2
Then at x = 17.5, then the profit will be
f(17.5) = 6 × 17.5 − 70
f(17.5) = 105− 70
f(17.5) = $ 35
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-5 3/4 - 3 1/2 i need helppp please quickly please
Answer:
-9.25
Step-by-step explanation:
Answer: Heyaa! ~
Your Exact Answer is... - 37/4 but your Decimal form is -9.25
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Hopefully this helps you!
-Matthew ~
A person invests 5500 dollars in a bank. The bank pays 4.25% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 11200 dollars?
The person must leave the money in the bank for about 10.1 years at interest 4.25% to reach $11200 when compounded annually.
What is compound interest?Compound interest is when interest is added to the principal of an investment, allowing the interest to compound over time. In other words, the beginning principal as well as the total interest from prior periods are both used to compute interest. In contrast to simple interest, which only affects the initial capital, this causes the investment to expand exponentially over time. Often utilised in banking and investment, compound interest is sometimes defined in terms of a yearly interest rate and the frequency with which it is compounded.
Given that, bank pays 4.25% interest compounded annually on the invested amount.
The compound interest is given as:
[tex]A = P(1 + r/n)^{(n*t)}[/tex]
Substituting the values of P = $5500, r = 4.25% = 0.0425, A = $11200, and n = 1.
[tex]11200 = $5500(1 + 0.0425/1)^{(1*t)}\\t = log(11200/5500)/log(1.0425) = 10.1 years[/tex]
Hence, the person must leave the money in the bank for about 10.1 years to reach $11200.
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Find the area of the pyramid net
Step 1
Find the area of the Square in the middle
Formula for finding square:
[tex]A = L*W[/tex]
Let's apply the formula and find our answer:
[tex]A = 2*2\\=4[/tex]
The area of the square is 4 units
Step 2
Find the area of all 4 triangles around the square
As you know, the formula for finding 1 triangle is as follows:
[tex]A = \frac{1}{2} *B*H[/tex]
But, to find the area of 2 triangles, we can use this formula:
[tex]A=B*H[/tex]
And to find 4 of them (with same dimensions;as required here), we can use this one:
[tex]A=2*B*H[/tex]
Let's apply the formula then! What are we waiting for!!!!
[tex]A=2*2*2\\=2*4\\=8[/tex]
The area of ALL of the triangles around the square is 8 units
Step 3
Add all areas to find FINAL ANSWER!
Easy!
4+8=12
The area of the Pyramid Net is 12 unitsAnswer:
12 is the answer because 2 x 2 = 4 but since it is a triangular face we half it and end up with 2, 2 x 4 is 8, the square it 2 x 2 = 4 so we add 4 and 8 which equals 12
Final Amount 10,400
Initial investment ?
Interest Rate 2%
Time (Years) 4
How do i find the initial investment
Answer:
$9629.63
Step-by-step explanation:
I assume this is simple interest.
The formula for simple interest is
F = P(rt + 1)
where F = future value,
P = present value
r = annual interest rate
t = number of years
10,400 = P(0.02 × 4 + 1)
10,400 = 1.08P
10,400/1.08 = P
9,629.63 = P
Answer: $9629.63
HElppppp pleaseee......
Answer: \sqrt[4]{xy^{2} }
Step-by-step explanation: Siplified
A jar contains red, green, yellow, orange and black jelly beans. In total the jar has 500 jelly beans. 3 students are discussing the best strategy to determine how many of each color jelly beans are in the jar.
Maci suggest taking 5 random samples of 10 jelly beans and recording the results.
Brandy suggests taking 5 random samples of 20 jelly beans and recording the results.
Gabby suggests taking 10 random samples of 25 jelly beans and recording the results.
Which student's suggestion is most likely to result in the best prediction of how many jelly beans of each color are in the jar?
A: Gabby
B: Maci
C: It is not known which would result in best prediction because it depends which color jelly beans are actually in the jar.
It is not known which would result in best prediction because it depends which color jelly beans are actually in the jar.
D:All 3 of them have the same likelihood resulting in the best prediction of how many of each color jelly bean are in the jar.
Using the Central Limit Theorem, it is found that the best prediction is given by:
A: Gabby.
What does the Central Limit Theorem state?It states that higher sample sizes and a higher number of experiments lead to more accurate predictions.
Gabby's sampling method has the higher sample size and also the higher number of experiments, hence her experiment gives the best prediction and option A is correct.
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In the expression 30x? - 35x + 54x - 63 when the first two terms are grouped, and the last two terms are grouped, what is the common binomial factor?
When the first two terms and the last two terms are grouped, the common binomial factor is 6x – 7
Data obtained from the question 30x² – 35x + 54x – 63Common factor =.?How to determine the common factor
30x² – 35x + 54x – 63
Group the first two and the last two terms
(30x² – 35x) + (54x – 63)
Factorise
5x(6x – 7) + 9(6x – 7)
Common factor => 6x – 7
Therefore, we can conclude that the common binomial factor in the expression is 6x – 7
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Show what you know: work out the problems below and submit a photo of your work to receive full credit.
The Florida A&M Rattlers are decorating campus for homecoming weekend. Students use 3 rolls of orange streamers for every 2 rolls of green streamers for every dorm they decorate.
Draw a model that represents the ratio of different colored streamers.
Draw a model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.
The model for representing the ratio of the number of orange and green rolls are [tex]\dfrac{3}{2}[/tex]
A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms will be 3O=2G
What is ratio?The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times to the other number.
A model that represents the ratio of different colored streamers.
[tex]\dfrac{3}{2}=\dfrac{O}{G}{[/tex]
A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.
3O=2G
Hence the models are [tex]\dfrac{3}{2}=\dfrac{O}{G}{[/tex] and 3O=2G
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A goal is to get at least 15% of daily calories from polyunsaturated fats found in various nuts, oils, and fish. 1 serving of walnuts (about 15 pieces) has about 21 grams of polyunsaturated fat. Each fat gram has 10 calories. On a 2,100-calorie diet, about what percent of daily calories does 1 serving of walnuts provide?
Using the percentage concept, it is found that 1 serving of walnuts provides 10% of daily calories.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, one serving has 21 grams, each with 10 calories, hence the number of calories is given by:
C = 21 x 10 = 210 calories.
Hence, out of a 2,100 calorie diet, the percentage is given by:
[tex]P = \frac{210}{2100} \times 100\% = 10\%[/tex]
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If there are 9 tacos, 18 hot dogs, and 6 hamburgers, which foods have a ratio of 2:3?
Answer:
Hamburgers and Tacos.
Step-by-step explanation:
If you divide 6 by 3 you get 2, and if you divide 9 by 3 you get 3.
2:3
PLEASE HELP W CALC!!
ONLY #14 but you need to look at the the question (not the answer) in 13 to answer 14
14. Write but do not evaluate the integral which can be used to find the volume which results when region R in problem 13 is revolves around the line x=4
Answer:
[tex]\displaystyle V = \pi \int_0^{1.835}\left[ 4 - y^2\right]^2 - \left[ 4-\sqrt{4(y+1)}\right]^2\, dy[/tex]
Step-by-step explanation:
We can use the washer method. Because the axis of revolution is vertical, our representative rectangle is horizontal. Recall that:
[tex]\displaystyle V = \pi \int_a^b \left[ R(y)\right] ^2 - \left[r(y)\right]^2 \, dy[/tex]
Solve each equation as a function of y:
[tex]\displaystyle \begin{aligned} y & = \sqrt{x} \\ \\ x_1 & = y^2\end{aligned}[/tex]
And:
[tex]\displaystyle \begin{aligned} y & = \frac{1}{4}x^2 - 1 \\ \\ x_2 & = \pm\sqrt{4(y+1)} \\ \\ & = \sqrt{4(y+1)}\end{aligned}[/tex]
The outer radius R is simply (4 - x₁) and the inner radius r is (4 - x₂). The point of intersection is (3.368, 1,835), so our limits of integration are from y = 0 to y = 1.835.
Therefore, the integral that represents the region being revolved around
x = 4 is:
[tex]\displaystyle V = \pi \int_0^{1.835}\left[ 4 - y^2\right]^2 - \left[ 4-\sqrt{4(y+1)}\right]^2\, dy[/tex]
Choose the conjecture that describes how to find the 6th term in the sequence 4, 20, 36, 52, ….
The sequence 4, 20, 36, 52, Required 6th term is 84.
What is sequence?A sequence is an enumerated group of objects in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of elements (possibly infinite). In contrast to a set, the same elements can appear more than once in a sequence at various positions, and unlike a set, the order is important. The formal definition of a sequence is a function from natural numbers to the elements in each position. An indexed family, which is a function from any index set, can be thought of as a generalisation of the idea of a sequence.
For instance, the letters (M, A, R, Y) are arranged with M coming first and Y coming last.
Given, sequence is an arithematic sequence with common difference 16 and first term 4.
So,
6th term = first term + 5 * common difference
= 4 + 5 * 16
= 84
Hence, the required 6th term is 84.
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Apple juice is 5 cans for $1.31, so each can of apple juice is $0.262. How much does it cost for each one?
Answer:
0.26 because the question states it. 0.262 can't be rounded up to 27 because 2 isn't high enough so it stays as 0.26
A department in a factory has three 3/4-horsepower motors, five 1/4-horsepower motors, six 3 1/3-horsepower motors, and eight 1/2-horsepower motors. What is the total connected motor load in horsepower rating?
Answer:
Kayla , why do you find the question tricky? :/
Step-by-step explanation:
HP total = 3*3/4 + 5*1/4 + 6*3_1/3 + 8* 1/2
HP total = 9/4 + 5/4 + 18_6/3 + 8/2
HP total = 9/4 + 5/4 + 60/3 + 16/4
HP total = 27/12 + 15/12 + 240/12 +48/12
HP total = 330/12
HP total = 165/6
HP total = 55/2
HP total = 27_1/2
Answer:
27.5 HP
Step-by-step explanation:
Sum
3(3/4) + 5(1/4) + 6(3 1/3) + 8(1/2)9/4 + 5/4 + 20 + 424 + 3.527.5 HPA fire ranger on a 150 ft. tall tower spots a fire at a 30-degree angle of depression. About how many feet away from the tower is the fire?
The tower is 260 feet away from the fire.
How to apply trigonometric function?The height of the tower is the opposite side while the distance from the tower to the fire is the adjacent side.
Given:
Angle of depression = 30°.
Opposite side = 150 feet.
Now,
tan [tex]\thtea\\[/tex][tex]\theta[/tex]= P/B
tan 30 [tex]\thtea\\[/tex]= 150/B
1/√3= 150/B
B= 150*√3
B= 150*1.732
B= 259.8
B= 260 feet.
Hence, the tower is 260 feet away from the fire.
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Which of the following is NOT an example of a non-fiction text?
A. Romance novel
B. Magazines
C. Biographies and autobiographies
D. Newspapers