Answer:
x² + 13x + 42 = 0
Step-by-step explanation:
(x + 6)(x + 7) = x² + 7x + 6x + 42 = x² + 13x + 42
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 centimeters cubed.
A sphere with height h and radius r. A cylinder with height h and radius r.
What is the volume of the sphere?
12 centimeters cubed
24 centimeters cubed
36 centimeters cubed
54 centimeters cubed
Answer:
12 cm^3
Step-by-step explanation:
Before we do anything, we should set up the proportion.
[tex]\frac{\pi * r^2*h}{\frac{4\pi r^3}{3}} = \frac{18}{x}[/tex]
Now do the Cancelations of \pi r^2 on the left.
h// (4/3) r = 18/x
but h = 2*r
2r // (4/3) * r = 18/x Cancel the rs on the left
2// (4/3) = 18/x Make 2 = 2/1 so you can handle the fraction
2/1 // (4/3) = 18/x Invert and multiply the denominator
2/1 * 3/4 = 18/x
6/4 = 18x You can reduce the left side
3/2 = 18x Cross multiply
3x = 2*18 Combine the right
3x = 36 Divide by 3
x = 12
So what you have found is the volume of the sphere. 12 cm^3
This is a very interesting question. Keep in mind that physics does this all the time for any of the force formulas (but not all).
I'm a little long winded here, but the first time you see this, you should be given very small steps.
Sara bought a dress on sale for $33. She saved 40%. What was the original cost? $
Answer:
$55
Step-by-step explanation:
Step 1
Subtracted the discounted price by 100 to find the percentages original price giving you *60%*
Step 2
Multiply the price payed(final price which is $33) by 100 giving you *3300*
Step 3
Go back to step 1 and divide your answer in step 2(3300) by the percentage in step 1(60%) (3300/0.60=55)
pls heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
Which statement describes the solutions of this equation?
A. The equation has no valid solutions and two extraneous solutions
B. The equation has one valid solution and no extraneous solutions
C. The equation has one valid solution and one extraneous solution
D. The equation has two valid solutions and no extraneous solutions
Answer:
D
Step-by-step explanation:
HELP ME PLSSS
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) =
O A. g(x) = (x - 4)2 + 1
O B. g(x) = (x + 4)2 + 1
O C. g(x) = (x – 4)2 - 1
O D. g(x) = (x + 4)2 - 1
Solve for M and show work
7. Which has the strongest correlation?
(1) r=0.7
(2) r = 0.1
(3) r=-0.75
(4) r=-0.99
Answer:
76yhgdttyhgfd
Step-by-step explanation:
nhjgklh/f
help plzzzzzzzzzzzzzzzzz asap i don't have time i will give brainlist
Step-by-step explanation:
i. Looking at the table, he got 3 odd numbers out of 9 scored so the probability is 33% or 3/9 or 1/3
ii. He got 4 square numbers so the probability is 4/9( remeber 0 is a square number).
iii. Only two number are multiples of 5 so the probability is 2/9.
iv. No number is greater than 15 so the answer is 0%
v. 5 numbers are less than zero so the answer is 5/9
. Please HELP me WITH this EQUATION ; A triangle has two base angles of 35º and another angle of 110º. Select any words which accurately describe the triangle. AObtuse-angled BScalene CEquilateral DRight-angled EIsosceles FAcute-angled
Answer:
Isosceles
Step-by-step explanation:
If the product of two numbers and is 180 and their HCF is 3, then find the LCM of and .
Answer:
60
Step-by-step explanation:
Product of the two numbers = HCF* LCM
[tex] \therefore \: 180 = 3 \times lcm \\ \\ \therefore \: lcm = \frac{180}{3} \\ \\ \therefore \: lcm = 60[/tex]
Which statement is true about Angle C P B?
Answer:
Step-by-step explanation: the second answer im not vary sure but ist kinda resonable
Determine whether each side with given lengths is a right triangle.
A. a=5, b=10 and c=15
B. a=11, b=60 and c=61
Answer:
61
Step-by-step explanation:
lenths is a right anglre
100 POINT PLEASE HELP QUICK!!!!
Answer:
[tex]adjacent = \sqrt{ {50}^{2} - {14}^{2} } = 48 \\ \\ \sin(Q) = \frac{14}{50} = \frac{7}{25} \\ \cos(Q) = \frac{48}{50} = \frac{24}{25} \\ \tan(Q) = \frac{14}{48} = \frac{7}{24} [/tex]
[tex] \sin(R) = \frac{48}{50} = \frac{24}{25} \\ \cos(R) = \frac{14}{50} = \frac{7}{25} \\ \tan(R) = \frac{48}{14} = \frac{24}{7} [/tex]
Base
√50²-14²√2500-196√48²48Now
sinQ=P/H=14/50cosQ=B/H=48/50tanQ=P/B=14/48cotQ=B/P=48/14secQ=H/B=50/48cosecQ=H/P=50/14What does b stand for in this equation?
3b=12
A 1
B 2
C 3
D 4
Answer:
4
Step-by-step explanation:
3b=12
Divide each side by 3
3b/3 =12/3
b =4
Answer:
D. 4Step-by-step explanation:
Given,
3b = 12
=> b = 12 ÷ 3
=> b = 4 (Ans)
The total perimeter of a square shaped
garden is of a meter. Find the dimensions of the
garden.
Please helppp I need it fasttttttt
Answer:
this makes no sence
Step-by-step explanation:
you did no include any of the details needed
John, Jack, Jim, and Joe all decided to take up horseback riding. Jim went twice as many times as Jack, and John went four more times than Joe but three less times than Jim. Joe went 15 times altogether. How many times did Jack go?
Answer:
11 times
Step-by-step explanation:
Given
[tex]Jim = 2 * Jack[/tex]
[tex]John = 4 + Joe[/tex]
[tex]John = Jim - 3[/tex]
[tex]Joe = 15[/tex]
Required
Find [tex]Jack[/tex]
Substitute [tex]Joe = 15[/tex] in [tex]John = 4 + Joe[/tex]
[tex]John = 4 + 15[/tex]
[tex]John = 19[/tex]
Substitute [tex]John = 19[/tex] in [tex]John = Jim - 3[/tex]
[tex]19 = Jim - 3[/tex]
Collect like terms
[tex]Jim = 19 +3[/tex]
[tex]Jim = 22[/tex]
Substitute [tex]Jim = 22[/tex] in [tex]Jim = 2 * Jack[/tex]
[tex]22 = 2 * Jack[/tex]
Divide both sides by 2
[tex]Jack = \frac{22}{2}[/tex]
[tex]Jack = 11[/tex]
Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answer:
Te diagonal of a kite will form a parallelogram.
explanation:
Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.
hope it helps
Mark me as brainlist
The number of bicycles in the repair shop is 5 times the amount of tricycles in the shop. There is a total of 39 wheels. How many bicycles are in the shop?
Answer:
15 bicycles
Step-by-step explanation:
ratio of bicycles to tricycles is 5:1 because it is 5 times greater and tricycle has 3 wheels and bicycles have 2 so i take 5 from the ratio and make a equation 5(2)+3(1)=13
i then divide 39 by 3 and get 3 i then take 3 and multiply it with it for the whole equation and find that 15 is the number of bicycles.
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put the following equation of a line into slope intercept form simplifying all fractions 10x-2y=6
Answer:
Slope-Intercept form: y = m x + b
y = value of y corresponding to value of x
2 y = 10 x - 6
y = 5 x - 3 equation of line where m is the slope and -3 value of y when x
equals zero
Mr sharma can do 1/15part of piece of work in 1 day he worked for 3 days and left if Vishnu finished the remaining work how much work is done by bishnu?
Answer:
12/15
Step-by-step explanation:
if in one day mr sharma did 1/5 part of piece of work and he worked three days he did 3/15, if vishnu finished the remaining work then he did 12/15 parts, they did 15/15
Let f(x) = x + 9 + 2, find f(0), f(7), and f(-5).
Answer:
f(0) = 0 + 9 + 2
f(0) = 11
f(7) = 7 + 9 + 2
f(7) = 18
f(-5) = -5 + 9 + 2
f(-5) = 4 + 2
f(-5) = 6
thank you
Answer:
Step-by-step explanation:
f(x)=x+9+2
substitute o in place of x
f(0)=0+9+2
=11
f(x)=x+9+2
substitute 7 in place of x
f(x)=7+9+2
=18
f(x)=x+9+2
substitute -5 in place of x
(-5)=-5+9+2
=-5+11
=6
Hope this helps u!!
when Maria was born, her mother was 24 years old. At present, Maria's age is 20% of her mother's age. How old is Maria now?
Answer:
the mother is older than maria by 24 years.
if Maria's age = x
mother's age = x+24
x=0.2(x+24)
x=0.2x+4.8
x-0.2x= 4.8
0.8x=4.8
x=4.8/0.8
x=6
Maria's age is 6 years
Evaluate the expression. 202 + 6(9 + 3) =
Answer:
274
Step-by-step explanation:
202 + 6(9 + 3) =
PEMDAS says parentheses first
202 + 6(12) =
Then multiply
202 +72
Then add
274
Answer:
274
Step-by-step explanation:
202 + 6(9 + 3)
202 + 6(12)
202 + 72
274
[tex]\text{Solve for x:}\\4x + 54 = 55\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = \frac{1}{4}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the equation for x...}}\\\\4x + 54 = 55\\----------\\\rightarrow 4x + 54 - 54 = 55 - 54\\\\\rightarrow 4x = 1\\\\\rightarrow \frac{4x=1}{4}\\\\\rightarrow \boxed{x=\frac{1}{4}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
[tex]\sf{4x+54=55 }[/tex] [tex]\sf{ 4x=55-54 }[/tex] [tex]\sf{4x=1 }[/tex] [tex]\sf{x=\dfrac{1}{4} }[/tex] [tex]\sf{ }[/tex]
Which of the following are one-dimensional figures?
Check all that apply.
Answer:
2&3
Step-by-step explanation:
Solve the system of equations.
y = 2x
y = x2-8
O A. (2, 4) and (-4,-8)
O B. (-2,-4) and (-4,-8)
O C. (2, 4) and (4,8)
O D. (-2,-4) and (4,8)
Answer:
D
Step-by-step explanation: Time Stamp (6 9 10 32)
Easiest way is to graph both equation and look for the intersections see attached sreen shot
or solve by substitution
y = 2x
y = x²- 8
2x = x²- 8 solve for x
0 = x² - 2x - 8 factor
0 = (x - 4)(x + 2)
0 = 0 when x = 4 and -2
calculate the y values
y = 2x x = 4
y = 8 (4, 8)
y = 2x x = -2
y = -4 (-2, -4)
4x²+4x-14=0
Solve without
Calculator. it came on a non calc exam. brainliest answer.
If t and m are positive, t^2 + m^2 = 64 and (t+m)^2 = 98, what is tm?
(A) 162
(B) 130
(C) 81
(D) 34
(E) 17
Answer:
17
Step-by-step explanation:
t^2 + m^2 = 64
(t+m)^2 = 98
(t+m)^2 = t^2 +2tm+ m^2
==>
t^2 +2tm+ m^2 = 98
t^2+m^2+2tm=98
64+ 2tm=98
2tm = 98 -64
2tm=34
tm= 34/2
tm = 17
Which shows the expressions in the order they would appear on a number line from least to greatest? 043 140 13 14 9 OM 17. 173. 140.43 04°. 57. 1139 OVAO 113. 17.40
Answer:
[tex]\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3[/tex]
Step-by-step explanation:
Given
[tex]4^3, \sqrt{40}, \sqrt{13}, \frac{14}{9}, \sqrt 7[/tex]
Required
Order from least to greatest
First, we solve for each expression
[tex]4^3 = 64[/tex]
[tex]\sqrt{40} = 6.32[/tex]
[tex]\sqrt{13} = 3.61[/tex]
[tex]\frac{14}{9} = 1.56[/tex]
[tex]\sqrt{7} = 2.66[/tex]
From least to greatest, we have:
[tex]1.56, 2.66. 3.61, 6.32, 64[/tex]
Hence, the list is:
[tex]\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3[/tex]