What is the remainder when f(x) = x2 + 14x − 8 is divided by (x − 4)?
80
64
56
52
Answer:
Answer: The remainder is 64.
Answer:
[tex]f(x) = {x}^{2} + 14x - 8 \\ factor \: = \: (x - 4) \\ x = 4 \\ f(4) = {4}^{2} + 14(4) - 8 \\ = 64 \\ remainder \: = \: 64[/tex]
A team of students is designing a new game to help their class review for a science test. They will make a rolling cube
with a side length of 7 cm as part of the game.
7 cm
How much material will they need to make the rollina cube?
Answer: volume of the cube is (7 cm)^3= 343 cm^3
To disinfect 1 quart of stream water to make it drinkable, you need to add 2 tablets of iodine. How many tablets do you need to disinfect 4 quarts?
Answer:
x = 8 tablets are needed to disinfect 4 quarts
Step-by-step explanation:
Write and solve an equation of ratios:
1 2 tablets
----- = ---------------
4 x
Cross-multiplying, we get x = 8 tablets are needed to disinfect 4 quarts
Answer:
8 tablets
Step-by-step explanation:
Write an equation in standard form for the line that passes through (4, 4) and has a x-intercept of 3?
PLEASE HELP AS SOON AS POSSIBLE 4/19/2021
Answer:
y=4(x-3)
Step-by-step explanation:
if x=3, subtract 3 from each side to get x-3=0
point (4, 4). That is, when x=4, y=4.
Plug those in and solve for a.
y=a(x-3)
4=a(4-3)
4=a(1)
4=a
Thus,
y=4(x-3)
Jayden invests money in an account paying a simple interest of 7.6% per year. If he
invests $100 and no morley will be added or removed from the investment, how
much will he have in one year, in dollars and cents?
Answer:
$107.60
Step-by-step explanation:
100 [1 + (0.076 * 1)] = 107.6
= $107.60
If Sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simple
interest will she have to pay on the loan?
A.$2,750.00
B.$19,250.00
C.$24,750.00
D.$275,000.00
find the equation of the line passing through points (-1,-6) and (3,5)
Answer:
y=11/4x-13/4
Step-by-step explanation:
Use the slope formula and slope-intercept form y=mx+b to find the equation.
Help I need to find measure of m<E asap.
Answer: ∠E=55°
Step-by-step explanation:
Concept
- In all similar triangles, their corresponding angle will be the same value
- Triangle angle sum theorem: the three interior angles of a triangle add up to 180°
Given
- Two pairs of corresponding angles
- Two similar triangles
Solve
(6x-15)+4x=(5x-1)+4x ⇔ Add the angles up
6x-15=5x-1 ⇔ Subtract 4x on both sides
x-15=-1 ⇔ Substract 5x on both sides
x=14 ⇔ Add 15 on both sides
180-4x-(5x-1) ⇔ Find ∠E by subtracting the other two angles from 180
=180-4(14)-([5(14)-1]
=180-56-69
=55°
Hope this helps!! :)
Please let me know if you have any questions
Please help its due today!!!
Answer:
1.) 2
2.) -5
Step-by-step explanation:
a circle has an area of 100 square cm what is the radius and circumference of the circle
Answer:
Radius = 10 cm
Circumference = 20*pi cm
Step-by-step explanation:
Area of a circle = pi * r^2
100 = r^2
10 = r
Circumference = 2*pi*r
2*pi*10
20*pi
1. A rocket is launched from the top of a 200-foot tall cliff with an initial velocity of 120 feet per second.
The height, h(t), of the rocket at time i seconds after it was launched can be modeled by the equation
h(t) = -16t^2 120t+ 200
a. What was the height of the rocket after 1 second?
b. What is the maximum height of the rocket?
c. How long did it take the rocket to reach its maximum height?
d. How long does it take the rocket to hit the ground?
Answer:
a. 304 feet
b. 425 feet
c. 3.75 seconds
d. It will take the rocket approximately 8.9 seconds to hit the ground
Step-by-step explanation:
1. The given data of the question including the question relationships are listed as follows;
The height of the cliff from which the rocket was launched = 200-ft.
The initial velocity of the rocket, u = 120 feet per second
The equation that models the height of the rocket with respect to time 't' is h(t) = -16·t² + 120·t + 200
a. The height of the rocket after 1 second is given by plugging in t = 1 in the equation that models the height as follows;
h(1) = -16 × (1)² + 120 × (1) + 200 = 304
The height of the rocket after 1 second, h(1) = 304 feet
b. The maximum height can be found by finding the value of the maximum point of the curve of the equation for the height as follows;
At the maximum point, h'(t) = d(-16·t² + 120·t + 200)/dt = 0
∴ d(-16·t² + 120·t + 200)/dt = -32·t + 120 = 0
t = 120/32 = 3.75
At the maximum point, t = 3.75 seconds
The maximum height can also be found by finding the vertex of the parabola formed by the height equation as follows;
At the vertex (the maximum point), t = -b/(2·a) = -120/(2 × (-16)) = 3.75
At the vertex (the maximum point), t = 3.75
The height at the maximum point = h(3.75) = -16 × (3.75)² + 120 × (3.75) + 200 = 425
The height at the maximum point, h(3.75) = 425 feet
c. The time it will take the rocket to reach the maximum point is given by the value of 't' at the maximum point, the vertex, which is t = -b/(2·a) = -120/(2 × (-16)) = 3.75
Therefore;
The time it takes the rocket to reach the maximum point, [tex]t_{max}[/tex] = 3.75 seconds
d. The time it takes the rocket to hit the ground (height h(t)) is given by finding the values of 't' that satisfy the height equation where h(t) = 0 as follows;
At the ground level, h(t) = 0 = -16·t² + 120·t + 200
Therefore, we get;
-16·t² + 120·t + 200 =
t = (-120 ± √(120² - 4×(-16) × 200))/(2 × (-16))
t ≈ 8.9 or t ≈ -1.4
Therefore, the time it takes the rocket to hit the ground is given by the natural number, t ≈ 8.9 seconds.
Gerard adds weight to the end of the hanging spring
shown.
The spring stretches to length of p centimeters. Gerard
removes some weight and the spring moves up by a
centimeters.
Answer:
p-(-Q)
Step-by-step explanation:
Because the thing goes down and i got it correct for that answer your welcome
justify 3.020020002 is a rational number with step by step answer
Answer:
This number is rational because there is a repeating pattern. Following the decimal, there is one 0 then a 2. This process repeats by adding a 0 each time the number 2 is passed.
Step-by-step explanation:
pick one A B C D and thank yall for help
Answer:
b.9
Step-by-step explanation:
th would only make sence the pattern is the multiples of 9 backwards.
(9x5) (9x4) (9x3) (9x2) (9x1)
45 36 27 18 9
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
10/10
What is the equivalent fraction?
A plane is traveling at a constant rate described by d = 525t where d is the distance and t is the time. How long will it take the plane to travel 3150 miles?
Answer:
6 hours
Step-by-step explanation:
Given: A plane is traveling at a constant rate described by d = 525t
where d is the distance and t is the time
We know that ratio of distance upon time = d/t = 525 miles per hour
Therefore, time taken to travel 3150 miles = 3150/525 = 6 hours
what is the value of p if 2p = 7
Answer:
p = 5
Step-by-step explanation:
think of it like this:
2 + p = 7
They just want you to find what number can replace the letter so the equation makes sense.
I need help with this one
Answer:
the pic wont load
Step-by-step explanation: try and upload again
The graph of y=f(x) is shown below.which point could be used to find f(3).
-A
-B
-C
-D
Answer:
aa is the repuestos yes ok
Answer:
A
Step-by-step explanation:
The probability???????????????
Answer:12/87
Step-by-step explanation: You first have to add up all of the birds present. Then you have to see how many of the type you are looking for is there. The number of the type of bird goes on top of the number of total birds.
which of these is the BEST theme for this poem?
Answer:
the answer is if we don't act the beauty of nature may disappear
Step-by-step explanation:
This is so because nature is fragile and needs to be taken care of properly thus this poem portrays various ways we are endangering nature and it's beautiful aesthetic features
HELP ME PLEASE I'll give brainless.
Answer:
<QRP=42 degrees
Step-by-step explanation:
Since the angles are sequential, they are the same. This is because the transversal cuts across parallel lines, creating said sequential angles.
Answer:
42 degrees since QS&TV are parallel
Chad boughtsome things at the store he paid for them was $6 he received $4.52 in change how much did the things that he bought cost
Answer:$1.08 cents.
Step-by-step explanation:
$6 - $4.52 = $1.08.
choose the inequality that represents the following graph
A. x < 2
B. x ≤ 2
C. x > 2
D. x ≥ 2
Answer:
b po ang tamang sagot
Step-by-step explanation:
i hope its help
Answer:
X > 2
Step-by-step explanation:
Value of x is greater than 2 and the circle is not filled. So. x > 2
Solve for x. Assume lines that appear to be tangent are tangent
Answer:
x = 135
Step-by-step explanation:
x = 9x15
= 135
x = 135
HELP ME PLEASE AND ASAP!!! look at the screenshot! (10 pts)
The answer is going to be 35 :)
Can someone please help i spendt 30 mins on this one question ?
Answer:
A
Step-by-step explanation:
To keep things short, use the distance formula to find the distance from each point from (0,0)
need help pls and thank you
Answer:
[tex]\sqrt{180}[/tex] and [tex]6\sqrt{5}[/tex]
Step-by-step explanation:
The easiest way to solve this problem is to look at all the simplified radicals on the right. Then un-simplify them by bringing the coefficients under the radical. If the radican (value under the radical) of the radical on the right is equal to the radican on the left, then the two radicals are equal.
To un-simplify a radical, one will square the coefficients and then multiply that value by the current radican of expression. The result is the un-simplified value of the radical.
A.
[tex]3\sqrt{15}\\\\= \sqrt{15*(3)^2}\\\\=\sqrt{15*9}\\\\=\sqrt{135}[/tex]
[tex]\sqrt{45} \neq \sqrt{135}\\\sqrt{45} \neq 3\sqrt{15}[/tex]
B.
[tex]3\sqrt{5}\\\\=\sqrt{5*(3)^2}\\\\=\sqrt{5*9}\\\\=\sqrt{45}[/tex]
[tex]\sqrt{75} \neq \sqrt{45}\\\sqrt{75} \neq 3\sqrt{5}[/tex]
C.
[tex]9\sqrt{6}\\\\=\sqrt{6*(9)^2}\\\\=\sqrt{6*81}\\\\=\sqrt{486}[/tex]
[tex]\sqrt{54} \neq \sqrt{486}\\\sqrt{54} \neq 9\sqrt{6}[/tex]
D.
[tex]6\sqrt{5}\\\\=\sqrt{5*(6)^2}\\\\=\sqrt{5*36}\\\\=\sqrt{180}[/tex]
[tex]\sqrt{180}=\sqrt{180}\\\sqrt{180}=6\sqrt{5}[/tex]
A ramp is being built next to a 4-inch high sidewalk. The
ramps angle of inclination is 10 degrees. Estimate the
length of the ramp to the nearest tenth of an inch.
See attachment for reply.
If the ramps angle of inclination is 10 degrees. The length of the ramp to the nearest tenth of an inch is: 23 inches.
Length of the rampUsing this formula
Sin10°=4/R
Where:
R=Length of the ramp=?
Let plug in the formula
R=4/Sin10°
R=4/0.173648
R=23.04
R=23 inches (Approximately)
Inconclusion the length of the ramp to the nearest tenth of an inch is: 23 inches.
Learn more about Length of the ramp here:https://brainly.com/question/3871090
In ^ABC, AB = 7, BC = 10, and
m
is b?
A. 13.2.
B. 12.2
C. 11.2
D. 9.1
Answer:
c
Step-by-step explanation: