The value of p(t)= 2 + t + 2t^2 - t^3 for t = 2
Options:
a) 4
b) -4
c) 6
d) 7
See picture for math work and answer.
A flower garden is shaped like a circle. Its diameter is 30 yd. A ring-shaped path goes around the garden. Its outer edge is a circle with diameter 36 yd.The gardener is going to cover the path with sand. If one bag of sand can cover 6 yd², how many bags of sand does the gardener need? Note that sand comes only by the bag, so the number of bags must be a whole number. (Use the value 3.14 for π.)
We started by finding the area of the two respective circles, then we found the area of the path, after which we estimated the number of sand bags needed to be 51.8 bags
Ans 51.8 bags
Area of CircleGiven data
Diameter of flower garden d = 30 ydDiameter of outer edge D = 36 ydNo of bags of sand = ??Area of path = Area of outer edge - area of garden
Area of path = πD^2/4 - πd^2/4
Area of path = 3.142*36^2/4 - 3.142*30^2/4
Area of path = 3.142*1296/4 - 3.142*900/4
Area of path = 4072.032/4 - 2827.8/4
Area of path = 1018.008 - 706.95
Area of path = 311.058 square yd
1 bag of sand will cover 6yd^2
x bags of sand will cover 311.058 yd^2
cross multiply we have
x = 311.058/6
x = 51.843 bags of sand
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find each measure for A and B
Answer:
b = 22
Step-by-step explanation:
74 + 74
= 148
180 - 148
= 22
i hope this work for you
Graph and find the area of the figure with the given vertices. 5. (−1, 4), (−4, −3), (4, −3)
Answer:
28 units^2
Step-by-step explanation:
A=1/2bh
base is 8
height is 7
A=1/2*56
A=28 units^2
2y= -3x + 8 i need the answer for this its graphing and equations 9th grade
If you're looking for the cartesian form of this straight line then that would be,
[tex] - 3x - 2y + 8 = 0[/tex]
If you're looking for the equation in the form of y=mx+b, then:
[tex]y = - \frac{3}{2} x + \frac{8}{2} [/tex]
[tex]y = - \frac{3}{2} + 4[/tex]
Where -3/2 is the slope of the line
and 4 is the intersection with the y-axis (0,4)
if you want to graph this line, just take values of x and find their y, and plot these points.
finally join the points to get the graph of the line.
hope this clears things up
What is the mean?
5, 10, 8, 9, 9, 9
TYPE ONLY THE NUMERIC ANSWER (Round to the nearest tenths place)
Answer:
8.3
Step-by-step explanation:
5+10+8+9+9+9=50
50/6=8.333333333333333333333333333333333333333333
=8.3
Answer:
The mean is basically the average.
In order to find avergae you add up all the given numbers and then divide it by the amount of given numbers.
in this case…
5 + 10 + 8 + 9 + 9 +9 = 50
There are 6 given values, which are 5, 10, 8, 9, 9, 9.
We divide 50 (the total number) by the given amount (6).
50/ 6 = 8.33333…
Your answer is 8.3
what is the value of 5x -2y if x=6 and y = -2
Answer:
34
Step-by-step explanation:
substitute x = 6, y = - 2 into the expression
5x - 2y
= 5(6) - 2(- 2)
= 30 + 4
= 34
wht is the scale factor of the dialation above plzzzzzzzzzzzzzzz help meeeeeeeeeeeee dont help no one else untill u help me thxs
Answer:
i believe its 1.75 (i had to relearn this)
Step-by-step explanation:
1.75 times 28= 49
1.75 times 20= 35
The table shows the amount of money earned by three brothers doing chores. If Gary and David earned the
same amount of money, how much did Jason earn?
Answer:
x=12
Step-by-step explanation:
Help please!
Matthew launches a ball is at 34 meters per sec from a 28 meter tall platform. The function of the ball's height (h) at time (*) seconds after launch is
h(t) = -12t^2 + 34t + 28.
Answer:
17 seconds
Step-by-step explanation:
h(t) represents height, we want to know when the ball will return to a height of 28 feet. So our equation is..
28 = -2t² + 34t + 28
Now solve for t...
0 = -2t² + 34t (subtract 28 from both sides)
0 = t² - 17t (divide both sides by -2)
0 = t(t - 17) (factor out a t)
So
t = 0
or
t - 17 = 0
t = 17
0 seconds is the initial height. At 17 seconds, the ball will return to that height
i hope this work for you
To make sure that a given parallelogram is a rectangle, at least hon many of
its angles must measure 90°?
A. Four
B. Two
C. Three
D. One
Answer:
D. One
Step-by-step explanation:
A parallelogram will have two sets of equal sides. Since we have that fact, all we need to know are the angles.
A quadrilateral will have a total of 360° in its angles. If only one angle is equal to 90°, then we can do the math to figure out that all the others must be 90° as well. A rectangle is a parallelogram with the opposite sides being parallel and all the angles being 90°. This then answers the question.
"The Math"
-> Keep in mind there will be four angles
-> Once we subtract the first angle of 90°, we will have three angles left. Hence why we divide by 3.
360° - 90° = 270°
270° / 3 = 90° ✓
To make sure that a parallelogram is a rectangle, at least one angle must be 90°. The correct answer is D.
What is Parallelogram?A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Let consider given parallelogram be ABCD.
All of the angles of a parallelogram must be 90° for it to be a rectangle.
Let ∠A = 90°.
Since opposite angles of a parallelogram are equal
So, ∠C = ∠A = 90°
And adjacent angles are supplementary and their sum is 180°.
So, ∠A + ∠B = 180°.
∠B = 180°- ∠A = 180° - 90° = 90°
As we know that opposite angles of a parallelogram are equal
So, ∠D = ∠B = 90°.
If all four angles are right angles (90°), then given one angle = 90°.
To make sure that a parallelogram is a rectangle, at least one angle must be 90°.
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Does the system of equations below have one solution, two solutions, three solutions or infinitely many solutions?
-3a + 24b + 9 = -111
a - 86 - 3c = 37
2a - 16b-6c = 75
А
1 Solution
B
2 Solutions
C No Solution
D
Infinitely many solutions
Answer:
B
Step-by-step explanation:
2 solutions because they is solution to it
A cylinder has a height of 15 meters and a diameter of 8 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:V≈3015.93
Step-by-step explanation:this is the answer
Diane made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.20. If the beads cost $2.90 for each necklace, how much did each pendant cost?
Answer:
what is the difference in length and the shortest length
AB= 12m, BC= 16 cm and AD= 13 m.
Find the area of the shaded region.
Answer:
100π - (96 + (13/2)√231 ) m^2
Step-by-step explanation:
We will solve this by finding the area of the triangles (the quadrilateral is cut by the diameter) and subtract it from the area of the circle.
There is a circle theorem which states that if a triangle is in the semicircle and the hypothenuse extends to the length of the diameter, the angle at B here is 90 degrees.
Since angle B is 90 degrees we can use the Pythagorean theorem (a^2 + b^2 = c^2) to find Line AC.
so 144 + 256 = 400
√400 = 20
So diameter is 20
Finding the area of the top triangle:
1/2(12x16) = 96cm^2
For the bottom triangle, we need the side DC to find the area. To find it we will apply the theorem once again.
400 = 169 + DC^2
DC^2 = 231
DC = √231
so the area of the bottom triangle is 1/2(13√231) = (13/2)√231
Now we add the area of the triangles for the quadrilateral and subtract from the circle area.
The circle area is 100π (πr^2)
Hence, the area of the shaded region is:
100π - (96 + (13/2)√231 ) m^2
у =-x +7
what the slope?^
Answer:
-1
hope it helps
Answer:
-1
Step-by-step explanation:
I graphed it out and got the answer. Plz give brainliest if you got it
If 13cos theta -5=0 find sin theta +cos theta / sin theta -cos theta
Step-by-step explanation:
Need to FinD :We have to find the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0.[tex] \red{\frak{Given}} \begin{cases} & \sf {13\ cos \theta\ -\ 5\ =\ 0\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \big\lgroup Can\ also\ be\ written\ as \big\rgroup} \\ & \sf {cos \theta\ =\ {\footnotesize{\dfrac{5}{13}}}} \end{cases}[/tex]
Here, we're asked to find out the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0. In order to find the solution we're gonna use trigonometric ratios to find the value of sinθ and cosθ. Let us consider, a right angled triangle, say PQR.
Where,
PQ = Opposite sideQR = Adjacent sideRP = Hypotenuse ∠Q = 90°∠C = θAs we know that, 13 cosθ - 5 = 0 which is stated in the question. So, it can also be written as cosθ = 5/13. As per the cosine ratio, we know that,
[tex] \rightarrow {\underline{\boxed{\red{\sf{cos \theta\ =\ \dfrac{Adjacent\ side}{Hypotenuse}}}}}} [/tex]
Since, we know that,
cosθ = 5/13QR (Adjacent side) = 5RP (Hypotenuse) = 13So, we will find the PQ (Opposite side) in order to estimate the value of sinθ. So, by using the Pythagoras Theorem, we will find the PQ.
Therefore,
[tex] \red \bigstar {\underline{\underline{\pmb{\sf{According\ to\ Question:-}}}}} [/tex]
[tex]\rule{200}{3}[/tex]
[tex] \sf \dashrightarrow {(PQ)^2\ +\ (QR)^2\ =\ (RP)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ (5)^2\ =\ (13)^2} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ +\ 25\ =\ 169} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 169\ -\ 25} \\ \\ \\ \sf \dashrightarrow {(PQ)^2\ =\ 144} \\ \\ \\ \sf \dashrightarrow {PQ\ =\ \sqrt{144}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{PQ\ (Opposite\ side)\ =\ 12}}}}_{\sf \blue{\tiny{Required\ value}}}} [/tex]
∴ Hence, the value of PQ (Opposite side) is 12. Now, in order to determine it's value, we will use the sine ratio.
[tex] \rightarrow {\underline{\boxed{\red{\sf{sin \theta\ =\ \dfrac{Opposite\ side}{Hypotenuse}}}}}} [/tex]
Where,
Opposite side = 12Hypotenuse = 13Therefore,
[tex] \sf \rightarrow {sin \theta\ =\ \dfrac{12}{13}} [/tex]
Now, we have the values of sinθ and cosθ, that are 12/13 and 5/13 respectively. Now, finally we will find out the value of the following.
[tex] \rightarrow {\underline{\boxed{\red{\sf{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}}}}}} [/tex]
By substituting the values, we get,[tex]\rule{200}{3}[/tex]
[tex] \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\Big( \dfrac{12}{13}\ +\ \dfrac{5}{13} \Big)}{\Big( \dfrac{12}{13}\ -\ \dfrac{5}{13} \Big)}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ {\footnotesize{\dfrac{\dfrac{17}{13}}{\dfrac{7}{13}}}}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{13} \times \dfrac{13}{7}} \\ \\ \\ \sf \dashrightarrow {\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{\cancel{13}} \times \dfrac{\cancel{13}}{7}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{\dfrac{sin \theta\ +\ cos \theta}{sin \theta\ -\ cos \theta}\ =\ \dfrac{17}{7}}}}}_{\sf \blue{\tiny{Required\ value}}}} [/tex]
∴ Hence, the required answer is 17/7.
What fraction of 5 is 3?
Step-by-step explanation:
5÷3=5/3 .The Numerator is > Denominator. So the fraction 5/3 is an Improper Fraction.
So the Proper Factored Form=1+2/3=1 2/3.
In fact 1 2/3 is a Mixed Fraction. But since its Numerator 2 < Denominator 3 ( of the Factional part)
The mathematical interpretation of "what fraction of 5 is 3?" is 5/3
First, we need to identify the numerator and the denominator
The numerator is the number on top of a fraction
The denominator is the number beneath a fraction
Since 3 is said to be a fraction of 5:
The numerator = 5
The denominator = 3
Fraction = Numerator / Denominator
Fraction = 5/3
Therefore, the mathematical interpretation of "what fraction of 5 is 3?" is 5/3
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4. Find f(7) for
the function
below.
f(x) = 1/2 •2^x
Answer:
f(7) = 64
Step-by-step explanation:
To evaluate f(7) substitute x = 7 into f(x) , that is
f(7) = [tex]\frac{1}{2}[/tex] × [tex]2^{7}[/tex] = [tex]\frac{1}{2}[/tex] × 128 = 64
Answer:64
Step-by-step explanation:
BIG BRAIN
What is the value of the positive zero of the function defined by 15x2 + 100x – 70 – (17x – 6x2)?
A.
eq115910_a1
B.
eq115910_b1
C.
eq115910_c1
D.
eq115910_d1
Answer:
hello
15 x² + 100 x - 70 - 17 x + 6 x²
= 9 x² + 83 x - 70
9 x² + 83 x - 70 = 0
Δ = 83 ² - 4 ( 9 * - 70 ) = 6 889 + 2 520 = 9 409 = 97 ²
x 1 = ( - 83 - 97 ) / 18 = - 180/18 = - 10
x 2 = ( - 83 + 97 ) / 18 = 14 /18 = 7 /9
Step-by-step explanation:
One centimeter is 100 times bigger than a meter
True
False
Answer:
True
Step-by-step explanation:
1 Meter is equal to 100 centimeters
Answer: True
Explanation: 1 meter=100 cm
Quick please will give brainliest to correct answer please and thank you.
Answer:
y = - 2x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (0, 2 )
m = = = = - 2
The line crosses the x- axis at (0, 2 ) ⇒ c = 2
y = - 2x + 2 ← equation of line
Evaluate the function
f(x) = 11 - 3x1
for f(-2).
5
b. 7
C. 6
---
A
Answer:
Option B. 7
Step-by-step explanation:
Hello!
We can solve this by plugging in -2, in the equation [tex]\bold{f(x) = |1 - 3x|}[/tex]
Solve:
f(x) = |1 - 3x|f(-2) = |1 - 3(-2)|f(-2) = |1 + 6|f(-2) = |7|f(-2) = 7Remember:
In an absolute value equation, a negative value turns positiveIn an absolute value equation, a positive value stays positiveWhoever is in UK, pls can u tell me the price for....
- 1 oz of gold
-1 oz of silver
Thanks
Answer:
The price for 1 ounce of gold is around £1,451 which is around 1,922$ and the price for 1 ounce of silver is around £19.17 which is around 25$.
2X – 6Y =12 & -4X – 5Y = 27
Answer:
x=3y+6
Step-by-step explanation:
1.
Let's solve for x.
2x−6y=12
Step 1: Add 6y to both sides.
2x−6y+6y=12+6y
2x=6y+12
Step 2: Divide both sides by 2.
2x ÷2= (6y+12)÷2
x=3y+6
please help you will get brainiest!!!!!!!!!!
Answer:
g(x) has a larger slope
Step-by-step explanation:
If you look closely, g(x) has a slope of 5.
Can you solve this problem
Answer:
Yes, 6.
Step-by-step explanation:
it says it on the picture?
Anyways,
21-3=18
18+18=36
36÷6=6
Answer: 21 – 3 + 18 ÷ 6 = 6. Twenty-one minus 3 is 18, then add 18 to that to get 36. Then divide that by 6 to get the correct answer, 6
Step-by-step explanation:
An ant walked 131millimeters directly toward a cookie crumb at a constant velocity. It took the ant 10.0seconds to walk that distance. What was the ant's velocity? Write your answer to the tenths place. ________millimeters per second directly toward the cookie crumb
Answer:
Velocity = 1.31 millimetres per second
Step-by-step explanation:
Given:
Total distance = 131 millimetres
Total time taken = 10 seconds
Find:
Velocity
Computation:
Velocity = Total distance / Total time taken
Velocity = 131 / 10
Velocity = 1.31 millimetres per second
Step 2 - Fill in the missing number:
2
1 -3 -10 24
a
a =
Answer:
First part: k=2
Second part: a=1
Third part: b=2 c=-1 d=-2
Forth part: x^2-x-12
Step-by-step explanation:
Each piece of fruit weighs 3/5 pounds
Write how many pieces of fruit you need so the total weight, in pounds is within the giving range
Between 1 and 1 1/2 pounds. (___)
Between 2 and 2 1/2 pounds. (__)
Answer:
Between 1 and 1 1/2 pounds. (_8__)
Between 2 and 2 1/2 pounds. (_1_)