Answer:
y >= 5x - 3
Step-by-step explanation:
since the verbal description mentions "sum", we need to have at least two things to add together.
for this reason we cannot misinterpret the -3 as an element to be included in the "5 times" term, because otherwise we would not have a second thing to build a sum.
A city's water tower is built using a right circular cone and a right cylinder, as shown.
About how many cubic feet of water can this tower hold, when completely full? What is the volume and surface area of the cylinder made from this net?
A. 89,019 cubic feet
B. 953,775 cubic feet
C. 6358.5 cubic feet
D. 2,142,000 cubic feet
Plz Help! Ill give brainiest to whoever answers!!!
1. 54
2. 63.5
3. 23
4. 1.80125
Answer: Just find the mean by using math
Step-by-step explanation:
6. Find the function with x-intercepts (-3,0) and (5,0), which also goes through the point (1,8)
Answer:
f(x) = (-1/2)(x^2 + 8x - 15)
Step-by-step explanation:
This function has two roots: -3 and 5. Most likely it is a quadratic (all of which have two roots).
Then f(x) = a(x + 3)(x - 5)
The graph goes through (1. 8): Therefore, y = 8 when x = 1:
f(1) = a(1 + 3)(1 - 5) = 8, or
a(4)(-4) = 8, or
-16a = 8, which leads to a = -1/2.
Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or
f(x) = (-1/2)(x^2 + 8x - 15)
The function is a quadratic function given by f(x) = (-1/2)(x + 3)(x - 5) and f(x) = (-1/2)(x² + 8x - 15).
What is a Function?A function is a law that relates a dependent and an independent variable.
The function has x-intercepts at (-3,0) and (5,0),
The function has two roots: -3 and 5
So, the equation is a quadratic equation represented by
f(x) = a(x + 3)(x - 5)
The function goes through the point (1. 8)
y = 8 when x = 1
f(1) = a(1 + 3)(1 - 5) = 8
-16a = 8,
a = (-1/2)
f(x) = (-1/2)(x + 3)(x - 5)
f(x) = (-1/2)(x² + 8x - 15)
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A woman received 5 per cent interest on a loan of $300 for 1 year. How much interest did she receive? $5 $15 $30 $150 none of these
Answer:
15$
Step-by-step explanation:
this is because if you use our formula of I= prt
we can substitute our varibles for our equation
I= 300 x 0.05 x 1
we turn 5 in 0.05 to represent out rate, due to this our rate would have to be Simplified into a percent then a decimal
after this if we now proceed through our equation we will get
I = 300 x 0.05 x 1
I = 15
find the missing
missing length y
the Shape
below
Answer:
12
Step-by-step explanation:
13^2=5^2+y^2
y^2=5^2-13^3
y^2=25-169
y^2=144
y=square root of 144
y=12
Answer:
12)
Step-by-step explanation:
For this, I used the Pythagorean Theorem, because I assumed that this was a right triangle. First of all, I first know that 13 would be the longest side in length. 13 x 13 = 169cm. Then I do the same with 5. 5 x 5 = 25cm. Finally, I subtract 25 from 169 to get 144. I then find the square root which would be 12. For more info, use the following formula:
a^2 + b^2 = c^2
Hope this helps!
-kiniwih426
Help
Will
Give BRIANLIST
Answer:
area of the figure=length×width
=6(X+6)
=6x+36 sq feet
answer is the second option
Answer:
B is the answer. This gives us the equation 6(x+6), where we multiply 6 by both values inside the equation. 6x + 36 is the answer. Happy learning!
Happy learning!
--Applepi101
PLEASE HELP ME WITH THIS QUESTION AND SHOW YOUR WORK
can someone help me please with solution
Find the inverse of y=5^x-9
(the -9 is not in the power)
Step-by-step explanation:
y = 5^x -9
5^x = y + 9
x = ^5 log (y+9)
f~'(x) = ^5 log (x+9)
3x=1/81 what is the value of x?
Answer:
hello
3x = 1/81
x = 1/ 81*3
x = 1/243
Step-by-step explanation:
Answer:
x=(1/81)/3
x=1/243
Step-by-step explanation:
[tex]\sqrt{25-10\sqrt{3}+3 }[/tex]
Find measure of angles B, E, D and C and the length of BC.
Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.
Answer:
< B = 180-30-65=85°
< E = 85°
< D = 30°
< C = 65°
BC = 20/35 × 28 = 16
Answer:
<D = 30
< C = 65
<B = <E = 85
16 = BC
Step-by-step explanation:
ABC ~ Triangle DEF
<A = <D = 30
< C = <F = 65
Since they are similar triangles
A+ C + B = 180 since the angles of a triangle = 180
30+65+B =180
95+ B = 180
<B = 180 -95 = 85
<B = <E = 85
The triangles are similar so the sides are proportional
AB BC
---- = ---------
DE EF
20 BC
---- = ---------
35 28
Using cross products
20*28 = 35 BC
Divide each side by 35
20*28/35 = 35/35 BC
16 = BC
If you tip 20% on a
restaurant bill that costs
$54. How much would you
tip your waiter?
Answer:
$10.80
Step-by-step explanation:
54 × 20%
= 54 × 20/100
= 1080/100
=10.8
The amount you tip the waiter is $10.8.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Amount of bill in the restaurant = $54
Percentage of tip given = 20%
In order to calculate the exact amount of tip given, we have to multiply the percent with the whole.
Amount given as tip = 20% × 54
20% means 20 parts of a 100 or 20/100.
Amount given as tip = (20 / 100) × 54
= 0.2 × 54
= 10.8
Hence the amount that the waiter has been tipped is $10.8.
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Question 3 Look at the diagram below. If XY = 7 and XZ = 30, what is the value of t? 7 2t - 1 X Y Z
Answer:
Step-by-step explanation:
go to brainly.com
9. A sector of a circle has central angle
[tex] \frac{\pi }{4} [/tex]
and area
[tex] \frac{49\pi}{8} [/tex]
[tex] {cm}^{2} [/tex]
. Find the radius of the circle
Answer:
Step-by-step explanation:
Begin with the formula for the area of a sector:
[tex]A=\frac{\theta}{2\pi}*\pi r^2[/tex] and we are given everything except the radius, r. Filling in what we know:
[tex]\frac{49\pi}{8}=\frac{\frac{\pi}{4} }{2\pi}*\pi r^2[/tex] and then start the simplification process. I began by dealing with the fraction over a fraction thing, which simplifies the equation to:
[tex]\frac{49\pi}{8}=\frac{1}{8}\pi r^2[/tex] then isolate the r-squared:
[tex]\frac{8(49\pi)}{8\pi}=r^2[/tex]. Canceling out the π's and the 8's leaves us with simply
r² = 49 so
r = 7
Find the slope of the line.
Ay
A(-2, 4N
4
Х
-4 --2 0
4
2
B(3,-2)
-4
What is the simplest radical form of the expression?
(8x^7y^4)^2/3
Answer:
[tex]4x^4y^2\sqrt[3]{x^2y^2}[/tex]
Step-by-step explanation:
Recall that [tex]a^{(\frac{b}{c})}=\sqrt[c]{a^b}[/tex].
Therefore, we have:
[tex](8x^7y^4)^{\frac{2}{3}}=\sqrt[3]{(8x^7y^4)^2}[/tex]
Use the exponent property [tex](a^b)^c=a^{(b\cdot c)}[/tex] to simplify:
[tex](8x^7y^4)^{\frac{2}{3}}=\sqrt[3]{(8x^7y^4)^2}=\sqrt[3]{64x^{14}y^8}=\boxed{4x^4y^2\sqrt[3]{x^2y^2}}[/tex]
Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how much was each ticket
Given:
Total amount spend on movie = $75
Each friend bought a ticket and a small popcorn that cost $8.25.
To find:
The price of each ticket.
Solution:
Let x be the price of each ticket.
Total cost of ticket and popcorn of each friend [tex]=x+8.25[/tex]
Total cost of ticket and popcorn of three friend [tex]=3(x+8.25)[/tex]
It is given that, the total amount spend on movie is $75. So,
[tex]3(x+8.25)=75[/tex]
[tex]x+8.25=\dfrac{75}{3}[/tex]
[tex]x+8.25=25[/tex]
Subtract 8.25 from both sides.
[tex]x=25-8.25[/tex]
[tex]x=16.75[/tex]
Therefore, the cost of each movie ticket is $16.75.
The choices are a.2 b.4 C. 1/2 D. 1/4
Answer:
b
Step-by-step explanation:
I can't explain it but the answer is b
Find x. Round to the nearest degree.
Answer: 56 degrees approximately
==========================================
Work Shown:
tan(angle) = opposite/adjacent
tan(x) = 15/10
tan(x) = 1.5
x = arctan(1.5)
x = 56.3099 approximately
x = 56 degrees
Note: arctan is the same as inverse tangent
a rectangular solid box measures 2.75 feet by 4.05 feet by 480 inches. in cubic yards, what is the volume of the box? express your answer as a decimal to the nearest tenth
Answer:
445.5 feet
Step-by-step explanation:
Our first step is to get them to like terms. The only different term is inches. 480 inches = 40 feet.
We find volume by multiplying length x width x height. So 2.75 x 4.05 x 40 = 445.5 feet.
What point is 2/3 of the distance from point A(3, 1) to point B(3, 19)?
Answer:
(3,13)
Step-by-step explanation:
Since Point A(3,1) and point B(3,19) is 18 units away we find 2/3's of 18 then add that to point A. 2/3's of 18 is 12 so the point we are looking for is (3,13)
(3,13) is the point that is 2/3 of the distance from point A(3, 1) to point B(3, 19).
What is distance?Distance exists as a numerical measurement of how far apart objects or points exist. In physics or everyday usage, the distance may be direct to a physical length or an estimation established on other criteria. The distance from point A to point B exists sometimes represented as |AB|.
As the point A(3,1) and point B(3,19) is 18 units away,
2/3 X 18 then add that to point A
2/3 X 18 = 12 so the point we are looking for is (3,13)
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How far does a turtle travel in five minutes
Answer:
A turtle travels about 90 feet
Because if a turtle can travel 450 feet within 25 minutes, then dividing 25 by 450 is 18 feet per minute, but if you multiply 5 minute x 18 feet, you get 90 feet in all.
So, a turtle can travel 450 feet per 25 minutes,
18 feet per minute, and
90 feet per 5 minutes
Hope this helps and I hope it is right, I used my skill thinking to solve this. So, please let me know if it did help and you do get it.
Please please help me
Answer:
The perimeter of the figure will be 62.8 or B
Step-by-step explanation:
1) The radius is 10
2) Perimeter basically means circumference
3) The formula for circumference is 2πr
4) 2π*10
5)2*pi=6.28*10=62.8
Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m, providing a floor area of 45 m2. what is the percentage
Answer:
The percentage change is 140%
Step-by-step explanation:
Given
[tex]L= 3W_1[/tex] ---- initial dimension
[tex]W_2 = 6m[/tex] --- new width
[tex]A_2 = 45m^2[/tex] --- new dimension
Required
The percentage increment
The length remains constant because only the width is extended.
The new area is:
[tex]Area =Length * Width[/tex]
[tex]A_2=L * W_2[/tex]
Make L the subject
[tex]L = \frac{A_2}{ W_2}[/tex]
Substitute values for A and W
[tex]L = \frac{45m^2}{6m}[/tex]
[tex]L = \frac{45m}{6}[/tex]
[tex]L = 7.5m[/tex] --- this is the length of the garden
Calculate the initial width:
[tex]L= 3W_1[/tex]
Make W1 the subject
[tex]W_1 = \frac{1}{3} * L[/tex]
[tex]W_1 = \frac{1}{3} * 7.5[/tex]
[tex]W_1 = 2.5[/tex]
So, the initial area is:
[tex]A_1 = L_1 * W_1[/tex]
[tex]A_1 = 2.5 * 7.5[/tex]
[tex]A_1 = 18.75[/tex]
The percentage change in area is:
[tex]\%A = \frac{A_2 - A_1}{A_1}[/tex]
[tex]\%A = \frac{45 - 18.75}{18.75}[/tex]
[tex]\%A = \frac{26.25}{18.75}[/tex]
[tex]\%A = 1.4[/tex]
Express as percentage
[tex]\%A = 1.4*100\%[/tex]
[tex]\%A = 140\%[/tex]
Ms. Li opened a retirement account with adeposit of $2,500. This account earns 4% simple interest annually. How many years will it take her to earn $500 on her $2,500 deposit?
Answer:
5 years
Step-by-step explanation:
Use the simple interest formula: I = prt
Plug in 500 as I, since that is the amount of interest being earned.
Plug in 2,500 as P and 1.04 as r.
I = prt
500 = (2,500)(0.04)t
500 = 100t
5 = t
So, it will take 5 years to earn $500 on the deposit.
Solve x2 + 8x + 7 = 0 by completing the square. Which equation is used in the process?
Answer: x = -1, -7
Step-by-step explanation:
I used internet
Answer:
x = -1 or x = -7
Step-by-step explanation:
x^2 + 8x + 7 = 0
x^2 + 8x + ____ = -7 + ____
To complete the square, we add the square of half of the x-term coefficient to both sides.
x-term coefficient: 8
half of it: 4
square it: 4^2 = 16
We add 16 to both sides.
x^2 + 8x + 16 = -7 + 16
(x + 4)^2 = 9
x + 4 = +/- sqrt(9)
x + 4 = 3 or x + 4 = -3
x = -1 or x = -7
BRAINLIEST PLEASE HELP!
Write the standard equation for the circle center (-6 -8) that passes through (0 0)
Answer:
(x + 6)² + (y + 8)² = 100
Step-by-step explanation:
The standard equation for a circle is (x - a)² + (y - b)² = r²
If you find the r² of this circle, you will get 100, and there's just one equation with 100
can u helpppp me????
Answer:
XY=6
Step-by-step explanation:
13-7=6
Answer:
XY = 6
Step-by-step explanation:
We know that the whole line (XZ) is equal to 13, and we know that YZ + XY is equal to XZ.
XZ = XY + YZ
13 = XY + 7
6 = XY
Hope this helped :)
. If one of the zeroes of the quadratic polynomial (k-1) x2 +k x +1 is -3 then what is the value of k?
Answer:
k = 1¹/₃
Step-by-step explanation:
Comparing (k-1)x² + kx + 1 with ax + bx + c where α, β be the zeroes of the quadratic equation, then
α + β = -b/a = -k/(k - 1) and αβ = c/a = 1/(k - 1)
Since one of the zeros is -3, β = -3
So,
α + β = -k/(k - 1)
α + (-3) = -k/(k - 1)
α - 3 = -k/(k - 1) (1)
and
αβ = 1/(k - 1)
-3α = 1/(k - 1) (2)
From (1), α = 3 - k/(k - 1) (3)
Substituting equation (3) into (2), we have
-3α = 1/(k - 1)
-3[3 - k/(k - 1)] = 1/(k - 1)
-9 + 3k/(k - 1) = 1/(k - 1)
-9 = 1/(k - 1) - 3k/(k - 1)
-9 = (1 - 3k)/(k - 1)
cross-multiplying, we have
-9(k - 1) = 1 - 3k
expanding the brackets, we have
-9k + 9 = 1 - 3k
collecting like terms, we have
-9k + 3k = 1 - 9
-6k = -8
dividing through by -6, we have
k = -8/-6
k = 4/3
k = 1¹/₃