Answer:
(30, ∞)
Step-by-step explanation:
b – 27 > 3
Add 27 to both sides
b > 30
In interval notation
(30, ∞)
Answer:
(30,∞ )
Step-by-step explanation:
b> 27+3
b> 30
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:
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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
can someone help me please with solution
. 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
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.
What is the equation of the line that passes through the point (4, -2) and has a slope of -2???
Answer:
.
Step-by-step explanation:
Answer:
y=mx+c
Step-by-step explanation:
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.
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
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]
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:
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)
To know more about Function
https://brainly.com/question/12431044
#SPJ5
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
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
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
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)
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
Anyone know the answer ?
Answer:
is the name of your school alpha omega, because i recogize the bottom of the page
Step-by-step explanation:
Find the slope of the line.
Ay
A(-2, 4N
4
Х
-4 --2 0
4
2
B(3,-2)
-4
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
A shirt originally $38.00 is on sale for 25% off. What is the discounted price?
Step-by-step explanation:
$ 28.50
minus $ 0.00
FINAL Price » $ 28.50
Note: Sales Tax Not Included
Savings » $ 9.50
Effective % Off » 25%
Answer:
$28.5
Step-by-step explanation:
100% - 25% = 75% (so you don't have to add or subtract anything)
38 * .75 = 28.5
=$28.5
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
PLEASE HELP ME WITH THIS QUESTION AND SHOW YOUR WORK
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
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]
hey pls help asap
it's urgent due within 1 hr
Answer:
I. C. Both A and B
II. D. All of the options
III. B. Help in making people a valuable resource
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.
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
[tex]\sqrt{25-10\sqrt{3}+3 }[/tex]
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:
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