Answer:
25
Step-by-step explanation:
[tex]f(x)=x^3-2 \\\\f(3)=(3)^3-2= \\\\27-2= \\\\25[/tex]
Hope this helps!
Answer: 25
Explanation: Notice that f is a function of x. So we want to find f(3).
We find f(3) by plugging 3 in for x everywhere
that x appears in the function.
So we have (3)³ - 2.
(3)³ is equal to 3 × 3 × 3 or 27.
So we have 27 - 2 which is 25.
So f(3) is equal to 25.
There are 50 sheets of drawing paper.
Larry divides the drawing paper between himself
and his younger brother John.
And Larry has 14 more sheets.
How many
sheets of drawing paper do Larry and his
brother have, respectively?
Answer:
John has 18 pieces of paper.
Larry has 32 pieces of paper.
Step-by-step explanation:
Let [tex]l[/tex] be how many pieces of paper Larry has and [tex]j[/tex] be how many pieces of paper John has.
We get:
[tex]j+14=l[/tex]
[tex]j+l=50[/tex]
[tex]j+j+14=50\\\\2j+14=50[/tex]
Subtract 14 from both sides
[tex]2j=36[/tex]
Divide both sides by 2
[tex]j=18[/tex]
John has 18 pieces of paper.
[tex]j+14=l\\\\18+14=l\\\\l=32[/tex]
Larry has 32 pieces of paper.
determine weather it is no solution many solutions or one solutions
3(6-4m)=2(9-6m)
Answer:
Many solutions
Step-by-step explanation:
the sum of (x-1) + (2x+ 3) is 3x-2 correct?
Answer: no , the correct answer is 3x+2
Step-by-step explanation:
Remove parentheses.
x−1+2x+3
Collect like terms.
(x+2x)+(−1+3)
Simplify.
3x+2
Use the vectors v = 7i + 2j and w = –4i + j to find 10v + 3w
Answer:
v = 7i + 2j
w= - 4i + j
10v = 10(7i + 2j) = 70i + 20j
3w= 3(- 4i + j) = -12i + 3j
10v + 3w
= 70i -12i + 20j +3j
= 58i + 23j
Hope this helps.
Can someone help? Thanks :D
Answer:
[tex]y\leq -x+4[/tex]
Step-by-step explanation:
The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.
This line has a y-intercept of 4 and a slope of -1.
This means that the equation of this line would be [tex]y=-x+4[/tex]
Now that we have the equation of the line, we just need to determine which inequality sign to use.
As the shaded region is BELOW the line, we will use a less than (<) sign.
As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that [tex]y\leq -x+4[/tex] would be the equation for this inequality.
Two friends can paddle a canoe at a rate of 6 km/h in still water. It takes them 1 h in total to paddle 2 km up a river and another 2 km back. Find the speed of the current, rounded to the nearest tenth.
Answer: The speed of the current is 3.5 km/h.
Step-by-step explanation:
When they move in the river, the speed of the canoe is:
Sc is the speed of the canoe and Sr is the speed of the current.
Sc + Sr (when they move in the same direction as the current)
Sc - Sr (when they move in the opposite direction as the current)
So we have that in one hour, they moved 2km and then they returned other 2km.
Now, using the relation:
Velocity*time = distance
we can write 1hour = T1 + T2 such that:
(Sc + Sr)*T1 = 2km
(Sc - Sr)*T2 = 2km
T1 + T2 = 1hour -------> T2 = 1h - T1
Sc = 6km/h.
So we can write this as two equations:
(6km/h + Sr)*T1 = 2km
(6km/h - Sr)*(1h - T1) = 2km.
Now, the first step will be isolate one of the variables in one equation, we can get:
T1 = 2km/(6km/h + Sr)
and replace it in the second equation:
(6km/h - Sr)*(1h -2km/(6km/h + Sr)) = 2km.
Now we solve this for Sr, i will ignore the units, so it is easier to read the math.
(6 - Sr) - 2*(6 - Sr)/(6 + Sr) = 2
(6 - Sr)*(6 + Sr) - 2*(6 - Sr) = 2*(6 + Sr)
6^2 - Sr^2 - 12 + 2*Sr - 12 - 2*Sr = 0
-Sr^2 + 36 -12 -12 = 0
-Sr^2 + 12 = 0
Sr = √12 = 3.5km/h
(where we take the positive value of the square root)
The speed of the current is 3.5 km/h
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let a represent the speed of the current and t₁ represent the time spent paddling up and t₂ represent the time spent paddling back. Hence:
(6 - a)(t₁) = 2 km
t₁ = 2 / (6 - a) (1)
(6 + a)(t₂) = 2 km
t₂ = 2 / (6 + a) (2)
t₁ + t₂ = 1 hour
[2 / (6 - a)] + [2 / (6 + a)] = 1
12 + 2a + 12 - 2a = 36 - a²
a² - 12 = 0
a = 3.5 km/h
The speed of the current is 3.5 km/h
Find out more at: https://brainly.com/question/22610586
Can someone help me with this question?
It's geometry.
Will mark you as brainliest if answer is correct.
Answer:
angle ABE and DBC
Step-by-step explanation:
They are both greater than 90 degrees
<ABE & <DBC
obtuse angle: more than 90 degrees and less than 180 degrees
Which equation is rewritten in vertex form
Answer:
Option (2)
Step-by-step explanation:
Given expression is, y = (x + 3)² + (x + 4)²
By solving this expression,
y = x² + 6x + 9 + x² + 8x + 16
y = 2x² + 14x + 25
y = (2x² + 14x) + 25
y = 2(x² + 7x) + 25
y = 2[x² + 2(3.5x) + (3.5)² - (3.5)²] + 25
y = 2[x² + 2(3.5x) + (3.5)²] - 2(3.5)² + 25
y = 2(x + 3.5)² - 24.5 + 25
y = 2(x + 3.5)² + 0.5
[tex]y=(x+\frac{7}{2})^2+\frac{1}{2}[/tex]
Therefore, Option (2) will be the vertex form.
You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-2,-3),(-2,4),(5,4) and (5,-3) . Find the perimeter (in yards) and the area (in square yards).
Answer:
Step-by-step explanation:
The vertices (-2, -3) and (-2, 4) are on the same vertical line and are separated by 4 - (-3), or 7, units. The vertices (-2, 4) and (5, 4) are on the same horizontal line (y = 4) and separated horizontally by 5 - (-2), or 7, units. If you can picture this in your mind, you'll see a 45-45-90 isosceles triangle with leg lengths 7 (there are two such legs).
The next thing to do is to calculate the length of the hypotenuse of this triangle. Using the Pythagorean Theorem, we get:
d = √(7² + 7²) = 7√2 ft.
The perimeter of this triangle is thus 7 ft by 7 ft by 7√2 ft, or approximately 23.9 feet, or 7.97 yd
and ...
The area of the triangular shape is A = (1/2)(base)(height), which here is
A = (1/2)(7)(7) = 49/2 ft^2, or 16.4 yd^2
A high school Philanthropy Club is collecting plastic waste which will be used to create benches for a local park. The volume of the
rectangular container, in cubu feel, used to hold the waste is modeled by the expression below, where x is the width of the container,
in feet
713 + 3,512
If the length of the container is half of a foot longer than its width, what expression represents the height of the container?
help please
Answer:
The expression 7x represents the height of the container.
Step-by-step explanation:
From the question:
We are being informed that; if the length of the container is half of a foot longer than its width.
Let the width be x;
Then the length of the container can now be ; x+1/2
We all known that the volume of a rectangular prism is : V= l×w×h
here;
l = length
w = width
h = height
If we rewrite the given expression :
[tex]\mathbf{7x^3+3.5x^2}[/tex];
Then we factor we make a similar coefficient of the above equation, the remaining entities left in the parenthesis should be a linear term with a leading coefficient of 1 to match the expression for the length of the container.
i.e
[tex]\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}[/tex]
Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.
An online company lets you download songs for $0.99 each after you have paid a $5 membership fee. Which domain would be most appropriate to calculate the cost to download songs? *
A.rational numbers greater than zero
B.whole numbers greater than or equal to one
C.integers less than or equal to zero
D.whole numbers less than or equal to one
Answer:
I assume that songs are $0.99 each. Let x represent the number of songs you download. Then the total cost of downloading x songs would be
C(x) = $5.00 + ($0.99/song)x
and ONLY integers = to or greater than 0 make sense here. The domain is [0, 100) assuming you cannot buy more than 100 songs.
Personally I'd give the answer as "2, whole numbers more than or equal to zero." However, IF you don't pay the membership fee until ready to actually order one or more songs, then "2, whole numbers greater than or equal to one" makes sense. You'd pay $5 plus $0.99 for one song, in that case.
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the verbal descriptions with the correct equations.
Answer:
Step-by-step explanation:
6 more than a number is 36: x+6=36
36 more than a number is 6: x+36=6
6 times a number is 36: 6x=36
determine whether the systems have one solution, no solution, or infinitely many solutions
3x-2y=3;6x-4y=1
3x-5y=8;5x-3y=2
3x 2y=8;4x 3y=1
3x-6y=3;2x-4y=2
3x-4y=2;6x-8y=1
Answer:
First system: no solution
Second system: one solution
Third system: one solution
Fourth system: infinite solutions
Fifth system: no solution
Step-by-step explanation:
First system: 3x-2y=3; 6x-4y=1
From the first equation: y = (3x - 3)/2
Using this value of y in the second equation:
6x - 6x + 6 = 1
6 = 1 -> System has no solution
Second system: 3x-5y=8; 5x-3y=2
From the first equation: x = (8 + 5y)/3
Using this value of x in the second equation:
5*(8 + 5y) - 9y = 6
40 + 25y - 9y = 6
16y = -34 -> y = -2.125
x = (8 - 5*2.125)/3 = -0.875
This system has one solution
Third system: 3x-2y=8; 4x-3y=1
From the first equation: x = (8 + 2y)/3
Using this value of x in the second equation:
4*(8 + 2y) - 9y = 3
32 + 8y - 9y = 6
y = 26
x = (8 + 2*26)/3 = 20
This system has one solution
Fourth system: 3x-6y=3; 2x-4y=2
From the first equation: x = 1 + 2y
Using this value of x in the second equation:
2*(1 + 2y) - 4y = 2
2 + 4y - 4y = 2
2 = 2
This system has infinite solutions
Fifth system: 3x-4y=2; 6x-8y=1
From the first equation: x = (2 + 4y)/3
Using this value of x in the second equation:
2*(2 + 4y) - 8y = 1
4 + 8y - 8y = 2
4 = 2
This system has no solution
How many lines of rotational symmetry does this shape have?
Answer:
14 lines shape symmetry
The equation of the line which passes
through the point(0,2) and has a gradient
of 1/3 is?
Answer:
Using point (0,2) and gradient 1/3
Equation of the line is
y - 2 = 1/3(x -0)
Multiply through by 3
You'll get
3y - 6 = x
3y = x - 6 or y = 1/3x - 2
Hope this helps.
At the gym, Polina put 4 five-pound weights onto a barbell that weighed 22 pounds without any weights on it. If Polina lifted the barbell with both arms, which expression can be used to determine the weight that each arm was lifting?
[(4 × 5) ÷ 2] + 22
(4 × 5) ÷ 2 + 22
[22 + 4 × 5] ÷ 2
22 + (4 × 5) ÷ 2
Answer:
D. 22+(4×5)÷2
Step-by-step explanation:
Four 5 pound weight=(4×5)
Barbell weighed 22 pounds
={(4×5)+22}
Paulina lifted it with both arms
Both arms=2
{(4*5)+22}/2
It can be rewritten as
22+(4*5)÷2
The measure of angle JKL can be represented using the expression 3x + 5. Point K has three lines extending from it. One line extends to point J, another to point M, and the other to point L. Angle J K M is 45 degrees. Angle M K L is x degrees. What is the degree measure of AngleJKL? °
Answer:
its 65
Step-by-step explanation:
The measure of ∠JKL = 3 x 20 + 5 = 65 degrees.
We have three lines extending from point K such that one line extends to point J, another to point M, and the other to point L.
We have to determine the degree measure of ∠JKL .
Define Angle.An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
According to the question, we have -
Measure of ∠JKL = 3x + 5
Measure of ∠JKM = 45 degrees
Measure of ∠MKL = x degrees
Refer to the image attached for more clarity. It can be seen from the image that -
∠JKL = ∠JKM + ∠MKL
3x + 5 = 45 + x
3x - x = 45 - 5
2x = 40
x = 20
Therefore, the measure of ∠JKL = 3 x 20 + 5 = 65 degrees.
To solve more questions on Angle measurements, visit the link below -
https://brainly.com/question/17107683
#SPJ6
8. Let ABCD be a parallelogram with A on top left, B on top right, D on bottom left and C on the bottom right. Prove that opposite sides of a parallelogram are congruent.
Answer:
Step-by-step explanation:
A parallelogram is a quadrilateral with four sides.
Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.
Join D to B, the diagonal of the parallelogram which is also a traversal.
So that;
<ABD = <BDC (alternate angle property)
<BAC = <ACD (alternate angle property)
Also, diagonals;
/AC/ = /BD/ (reflexive property)
Then;
ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)
Thus;
/AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)
/BC/ ≅ /AD/ (corresponding sides of congruent triangles are congruent)
Therefore, the opposite sides of the parallelogram ABCD are congruent.
Click on the bubble of the correct
answer.
Chris earned $855 for a temporary
job. She worked 36 hours the first
week and 40 hours the second
week. How much did Chris earn per
hour?
Select one:
Answer:
$11.25 / hr
Step-by-step explanation:
36x+40x=855
76x=855
x=11.25
the sides of a triangle are in the ratio, 4:5:7 and its perimeter is 64cm. find its area , correct to 2 decimal places
Answer:
Step-by-step explanation:
First find all the sides of the triangle:
Total parts: 4+5+7 = 16
cm per part = 64/16 = 32/8 =4cm
therefore, all measures: 16cm, 20cm, 28cm.
Answer:
since you have not specified the height, I will use any no.
= 0.16
Step-by-step explanation:
perimeter is the distance round
add the ratios; 4+7+5=16
Ratio 16= Perimeter 64cm
R.16=64cm, find all the ratios
start with ratio 4
R.16=64cm
R.4×64cm÷16=16 cm
R.5×64÷16= 20 cm
R.7×64÷16=28 cm
A=1/2× b×h
1/2×16×20= A= 160cm2
2 dp, divide
0.16
A caterer prepares three times as many pizzas as she usually prepares for a large party. The caterer usually prepares 4 pizzas. The caterer also estimates that each party guest will eat 1/3 of a pizza. Drag and drop each expression into the correct boxes to complete the explanation.
The expression that represents how many guests the pizzas can serve is (blank).
How many party guests will the pizzas serve? Drag and drop the number of guests into the box.(answer)
The pizzas can serve guests.
Answer:
So if each person eats 1/3 pizzas. And he makes 4 pizzas. There are 3 1/3s in 1 pizza. 3*4 = 12.
The answer is 12 guests
If 14x = 6(–4 + x), then x = ?
Answer:
Step-by-step explanation:
Expand first
-24+6x=14x
-6x on both sides
-24=8x
/x on both sides
X=-3
Answer: [tex]x=-3[/tex]
Step-by-step explanation:
You want to apply the distributive property. Or, you could just divide by 6 on both sides. Ill just apply the distributive property:
[tex]14x = -24 +6x[/tex]
Now subtract 6x from both sides to get:
[tex]8x = -24[/tex]
Divide both sides by 8 to get x = -3
Angle BCD is a circumscribed angle of circle A. Angle BCA measures 40°. What is the measure of minor arc BD?
Answer:
100°
Step-by-step explanation:
From the image attached, line BC and line CD are tangents to circle A. Also, AB and AD are the radius of the circle. The tangent theorem states that the angle between a tangent and the radius is 90°. Therefore:
∠ABC and ∠ADC = 90°.
Given triangle ABC:
∠ABC + ∠BCA + ∠CAB = 180°
∠CAB = 180 - ∠ABC - ∠BCA = 180 - 90 - 40 = 50
∠CAB = 50°
From the two tangent theorem, tangents that meet at the same point have the same length. This means BC = CD, ∠ACD = ∠BCA, ∠CAB = ∠CAD.
arc BD = ∠CAB + ∠CAD = 50 + 50
arc BD = 100°
Answer:
D.
Step-by-step explanation:
If the perimeter of a rectangle picture frame must be less than 200 in and The width is 36 in what Must the height H of the frame be
Answer:
So since the formula for perimeter is 2(w+h)
200 = 2(w+h)
that means that
100 = w+h
100 = 36+x
x=
64 UNITS
Step-by-step explanation:
john has × marbles and max has twice as many.max give gives john 5 of his marbles does max now have
Answer: 2x -5
Step-by-step explanation:
Hi, to answer this question we have to write equations with the information given:
John has × marblesJohn=x
Max has twice (multiplied by 2) as many.max give gives john 5 of his marbles.We have to multiply by 2 the number of marbles that John has (x), and subtract 5.
Max = 2x -5
Feel free to ask for more if needed or if you did not understand something.
Mrs. Jackson made a line plot of the times it took students to complete a project.
She made a line plot to display the data.
Line plot named as ALTDCTime Spent Completing ProjectALTDC shows a number line from 0 to 5. The number line is divided into 10 equal parts. 1 dot on 1, 2 dots on one and half, 4 dots on 2, 3 dots on two and half, 2 dots on three and half, 1 dot on 4 and 1 dot on four and half is given.
Part A
What is the outlier in the data set?
A. 1
B. 2
C. 3
D. There is no outlier.
Part B
Which explains your reasoning in Part A?
A.
There is no value that is very different from the other values.
B.
This is the most common value in the data set.
C.
This value is very different from the other values.
D.
There are no data values above this number.
Answer: D
Step-by-step explanation: D
A(n) _____ generally has a highly elliptical orbit. A. moon B. comet C. planet D. asteroid
Answer:
b
Step-by-step explanation:
Answer:
B comet
Step-by-step explanation:
Orbit of a Comet. Comets go around the Sun in a highly elliptical orbit. They can spend hundreds and thousands of years out in the depths of the solar system before they return to Sun at their perihelion. Like all orbiting bodies, comets follow Kepler's Laws - the closer they are to the Sun, the faster they move.
Please BRAINLIEST!
Please Answer ASAP! will give 5 star and brainliest
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. Draw the possibility diagram of the product of the two numbers appearing on the die in each throw Use the possibility diagram to calculate the probability that the product of the two numbers is (i) A prime number (ii) Not a perfect square (iii) A multiple of 5 (iv) Less than or equal to 21 (v) Divisible by 4 or 6
Answer:
Step-by-step explanation:
Use the possibility diagram to calculate the probability that the product of the two numbers is
A prime number
Sample Space: 64
Prime Number:8
Probability: 8/64 = 1/8
Not a perfect square
Sample Space:64
Not a perfect square:56
Probability: 56/64 = 7/8
A multiple of 5
Sample Space:64
A multiple of 5: 16
Probability: 16/64 = 1/4
Less than or equal to 21
Sample Space:64
Less than or equal to 21:24
Probability: 24/64 = 6/16 = 3/8
Divisible by 4 or 6
Sample Space:64
Divisible by 4 or 6:32
Probability: 32/64 = 1/2
What does y=? Also if you cant read that bright red number its 60
Answer:
y = 13.9
Step-by-step explanation:
The triangle is a 30-60-90 triangle, so x is 16 (double 8). Use the pythagorean theorum to find y. 256 - 64 =192. [tex]\sqrt{192}[/tex] is about 13.9
a rectangular sheet of paper dimentions 44 cm x 18 cm is rolled along its length and cylinder is formed . find voloume of cylinder so formed
Answer:
1134cm³
Step-by-step explanation:
rolled along the length means the length becomes the height of the cylinder.
length of rectangle = height of cylinder= 44 cm
breadth of rectangle = circumference of top and bottom circles = 18 cm
to find radius = 2πr = 18
2 * 22/7 *r = 18
22/7r = 18/2
22/7r = 9
r = 9*7/22
r= 63/22
Volume of cylinder formula = πr²h
= 22/7 * 63/22 * 63/22 *44
= 63 * 18
= 1134 cm³
(We cannot take it as a hollow cylinder because a rectangular sheet can only have one radius)
Hope this helps you!
