Answer: b = 8
Step-by-step explanation: You have to divide (-4) on both sides and -32/-4= 8 so b =8
Answer:
Step-by-step explanation:
-32=4b
divide -4 by both sides
-4/-4=1
-32/-4=8
therefore, b=8
3.
If the volume of cylinder of height 7 cm is 448 cm², then the total surface area of cylinder is
(1) 2041 cm?
(2) 2241 cm?
(3) 2481 cm?
(4) 240 cm?
Answer:
A = 240π cm²
Step-by-step explanation:
Given that,
Height of a cylinder, h = 7 cm
Volume of the cylinder, V = 448π cm³
We need to find the total surface area of the cylinder.
The formula for the volume of the cylinder is given by :
[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V\pi }{\pi h}} \\\\r=\sqrt{\dfrac{448\pi }{\pi \times 7}} \\\\r=8\ cm[/tex]
The formula for the total surface area of the cylinder is given by :
[tex]A=2\pi r(r+h)\\\\A=2\pi \times 8\times (8+7)\\\\A=240\pi \ cm^2[/tex]
So, the total surface area of the cylinder is 240π cm².
Solve for x please!!!!!nowwww
Answer:
x = 37
Step-by-step explanation: Every angle in a triangle adds up to 180, so we can set up an equation where (x + 48) + (x + 58) = 180. From here, we can combine like terms to get 2x + 106 = 180. 180-106 is 74. 74 divided by 2 is 37. So, x = 37.
Mackenzie practices the piano 609 minutes in 3 weeks. At what rate did she practice, in minutes per day?
Answer:
the answer is 29
Step-by-step explanation:
good luck! <33
Answer:
The answer is 203
Step-by-step explanation:
I started off by dividing 609 by 3 and your answer is on the top. You're welcome!!
a quadratic equation has two roots: -2 and 3.
Answer: B) Crossing the x-axis at -2 and 3
Step-by-step explanation:
PLEASE HELP!!!!!!!
Points A and C are vertices of a cube with a side length of 2 cm, and B is the point of the intersection of the diagonals of one face of the cube, as shown below.
Determine the length of CB.
9514 1404 393
Answer:
CB = √6 cm
Step-by-step explanation:
The diagonal of a square is √2 times the edge length, so the length AB will be (1/2)√2(2 cm) = √2 cm.
Then the length CB is given by the Pythagorean theorem as ...
CB = √(AC^2 +AB^2) = √((2 cm)^2 + (√2 cm)^2) = √(4 +2) cm
CB = √6 cm
PLSSSSS HELP ME!!! 80 Points!!
What is the apparent solution to the system of equations?
y = -2 +2
y=40 +7
Graph the system of equations using the Line tool. Plot a point at the apparent solution to the system using the point tool.
Answer:
y=−x+2y=4x+7 NO
y=−x+2 YES
y=4x+7
Multiply the first equation by 4, obtaining: 4y = -4x + 8
Add the 2nd equation to this result: y = 4x + 7
--------------------
5y = 15, and y = 3
Then, using the first equation, determine x:
y = 3 = -x + 2
1 = -x, so x = -1
The solution is (-1, 3)
Answer: (-1; 3)
Step-by-step explanation:
y = -x + 2
y = 4x + 7
4x + 7 = -x + 2
4x + 7 + x - 7 = - x + 2 + x - 7
5x = - 5
x = - 1
y = 4(-1) + 7
y = 3
Intersection point: (-1; 3)
See the solution on the photo
A compound is made up of various elements totaling 90 ounces. If the total amount of uranium in the compound weighs 18 ounces, what percent of the compound is made up of uranium? If necessary, round your answer to the nearest hundredth.
Answer:
20%
Step-by-step explanation:
The percent of the compound that is made of uranium is calculated as:
(Number of ounces of uranium /Number of ounces of the compound)
× 100
Total amount of uranium in the compound weighs = 18 ounces
A compound is made up of various elements totaling = 90 ounces.
Hence:
= 18/90 × 100
= 1800/90
= 20%
Therefore, the percent of the compound that is made up of uranium is 20%
The speed limit on a road drops down to 15 miles per hour around a curve. Mr. Gerard slows down by 10 miles per hour as he drives around the curve. He never drives above the speed limit. At what speed (s) was Mr. Gerard driving before the curve? Write and solve an inequality
Answer Mr. Gerard speed was at most 25 miles per hour before the curve
Step-by-step explanation:
How to solve the speed Mr. Gerard was driving before the curve
Let’s just assume that Gerard went exactly the speed limit 15 miles per hour (mph) after when he slowed down by 10 miles per hour and drove around the curve. The reason why I’m using exactly 15mph is because it’s the max speed he can go. He can go 15 miles per hour and still be safe, but it’s just that he can’t go any faster than that.
Now, you can do 15 + 10 to find the speed he went before he drove around the curve. So, that would be 25mph before he drove around the curve.
You might be asking: What if he went slower than 25mph before he drove around the curve, and what if he went faster than 25mph?
-When he drives exactly 25mph and slows down by 10mph when he makes the turn around the curve, he’s going exactly 15mph which it safe for him because it’s not faster than 15mph.
-It could be possible that he went slower than 25mph before he drove around the curve, but he still will be safe because when he makes the turn around the curve and slows down by 10 miles per hour, now he’ll reach below 15 miles per hour which is even safer for him. Here’s an example for you to understand: Let’s say he drove 23mph before the curve (which is less than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 13mph, which is less than the speed limit 15mph. You can take any number less than 25mph and he’ll still be safe because it will be less than 15mph.
-Now, if he went faster than 25mph, he wouldn’t be safe anymore because after when he slows down by 10mph and goes around the curve, he’ll be above the speed limit of 15mph. Here’s an example for you to understand: Let’s say he drove 27mph before the curve (which is faster than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 17mph, which is faster than the speed limit 15mph.
Answer: Mr. Gerard speed was at most 25 miles per hour before the curve
Graphing it
A way to graph this is to write out a compound inequality. You can write it as:
0 < y ≤ 25 ⇒ Where any speed has to be less than or equal to 25 miles per hour, because 25 miles per hour is the most/biggest speed Mr. Gerard can drive. But it has to be greater than 0 because you can’t go negative miles per hour, or 0 miles per hour
The graph is shown below ↓
I don’t know what graph you want, or how your teacher wants you to graph it. So I put two options for you :)
I hope you understand and that this helps with your question! :)
Which fraction and decimal forms math the long division problem
Answer:
4/15 and 0.26
Step-by-step explanation:
Here, we want to write the fraction and decimal that matches the division problem
The division problem is simply 4/15 in fraction
In decimal, this is 0.2667
Solve this triangle using the law of sines
Answer:
answer is 6√3
it's right answer
:-))
Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you!!!
Answer:
1. AD
2. 5.2 cm
3. x = 4
4. BC
5. 3
6. x = 12
Step-by-step explanation:
2x – 5 = 7 to 2x = 12 What property of equality was used?
Property of Addition and division.
Solve the system.
2x – 6y= -4
6x – 8y = 18
Answer:
Step-by-step explanation:
2,9
can you solve for x and y pls hurry ...
Answer:
x=50 y=25
Step-by-step explanation:
brainliest pls
Find the scale factor
Answer:
X = 10 or scale factor is 2.5
Step-by-step explanation:
first look at the scale factor going from 4 to 10, to get from 4 to 10 you would need to multiply 4 by 2.5. Since this problem doesnt give us the smaller scale factor first we need to divide 25 by 2.5 which equals 10.
Someone plz help me T^T
Which of the options below show a pair of supplementary angles? Select all that apply.
A) 160°, 20°
B) 120°, 40°
C) 45°, 135°
D) 30°, 120°
Answer:
A and C
Step-by-step explanation:
A) 160 + 20 = 180
B) 120 + 40 = 160
C) 45 + 135 = 180
D) 30 + 120 = 150
All supplementary angles must add up to 180 degrees.
help im a transfer i dont understand this
Answer:
You can graph them on desmos and see which is a linear (literally looks like a line)
Step-by-step explanation:
A train at a constant speed and goes 7.5 kilometers in 6 minutes. At the rate:
How far does the train go in 1 minute?
How far does the train go in 100 minutes?
Answer:
The distance covered by a train in 1 minute = 1.25 kilometers
The distance covered by a train in 100 minutes = 125 kilometers
Step-by-step explanation:
The distance covered = 7.5 kilometers
Time taken = 6 minutes
Calculating unit rate
unit rate = 7.5 kilometers / 6 minutes
= 1.25 kilometers per minute
Thus,
The distance covered by a train in 1 minute = 1.25 kilometers
and
The distance covered by a train in 100 minutes = 1.25 × 100
= 125 kilometers
need answer ASAP 30 points
-2•f(-6)-7•g(-7) help
Answer:
11
Step-by-step explanation:
-2 • f(-6) -7 • g(-7) = ?
As per graph:
f(-6) = 5
g(-7) = -3
Calculation:
-2 • f(-6) -7 • g(-7) =
-2(5) - 7(-3) =
-10 + 21 =
11
helppppppppppppppppppppppppppppppppppppp
PLEASE answer as soon as you can! First correct answer will get BRAINLIEST!!! :)
Answer:
(x-3)(x-5)
Step-by-step explanation:
Answer:
x = 3 or x= 5
Step-by-step explanation:
Δ = (-8)² - 4×15
= 64- 60
=4
and 4≥0
so x = (8 - √4 )÷2 = 3
or x= (8 + √4 )÷2 = 5
so P(x) = (x-3) (x-5)
Can someone help me out
Answer:
C.
Step-by-step explanation:
Does this table represent a proportional relationship?
Yes
No
no
the table does not represent a proportional relationship.
Please help with this math qs!!
Step-by-step explanation:
Find the radius: 6 ÷ 2 = 3m
Circumference = 2r with pi = 3cm x 3.14cm x 2 = 18.84m
Area = pi x 3cm x 3cm = 28.27m2
Calculate the circumference and area of given triangle.
Formula applied:Circumference of circle = 2πr
Area of circle = πr²
Solution:Radius,r = diameter/2 => 6/2 = 3 m
( i ) As we know that formula of circumference,
Circumference of circle = 2πr
[tex] \bf \: \star \: putting \: the \: values[/tex]
[tex] \implies \: 2 \times 3.14 \times 3[/tex]
[tex] \implies \: 6.28 \times 3[/tex]
[tex] \implies \: 18.84 \: m[/tex]
(ii) As we know,
Area of circle = πr²
[tex] \bf \star \: putting \: the \: values[/tex]
[tex] \implies \: 3.14 \times {(3)}^{2} [/tex]
[tex] \implies \: 3.14 \times 9[/tex]
[tex] \implies \: 28.26 \: m {}^{2} [/tex]
PLEASE HELP I NEED TO RAISE MY GRADE PLEASE
Answer:
AC, AB. BC
Step-by-step explanation:
Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7).
Use the Polygon tool to graph the quadrilateral by connecting all its vertices.
Answer:
Step-by-step explanation:
Each point moves 3 times the distance from the center of dilation that it was.
You can compute the new coordinates by ...
L = P - O . . . . . the length from O to P is P-O for some point P and origin O
Then 3 times that distance is
3L = 3P -3O
We want to find the point P' that is 3L from O, so we add this distance to the coordinates of O. We get ...
P' = 3L +O = 3P -3O +O
P' = 3P -2O
So, for the lower left point A(-2, -7), the dilated image point A' is ...
A' = 3(-2, -7) -2(2, -7) = (-6, -21) +(-4, 14) = (-10, -7)
That is, ...
A' = 3A +(-4, 14)
The coordinates of the remaining points can be found similarly.
___
On a graph, it is usually fairly easy to count the grid squares in each direction between the point of interest and the center of dilation. The image point is 3 times the distance in each direction (horizontally, vertically).
Answer:
See the attached picture
Step-by-step explanation:
Verified correct with test results.
Question 3 (2 points)
(04.07)
Two separate bacteria populations grow each month and are represented by the functions fx) = 3* and g(x) = 7x + 6. In what month is the f(x)
population greater than the g(x) population? (2 points)
Complete question is;
Two separate bacteria populations grow each month and are represented by the functions f(x) = 3^(x) and g(x) = 7x + 6. In what month is the f(x) population greater than the g(x) population?
A. Month 1
B. Month 2
C. Month 3.
D. Month 4
Answer:
Option D: Month 4
Step-by-step explanation:
We are given the functions;
f(x) = 3^(x)
And g(x) = 7x + 6
We want to find the month when f(x) > g(x)
Thus;
3^(x) > 7x + 6
For option A, month 1 means x = 1.thus;
LHS is 3¹ = 3
RHS = 7(1) + 6 = 13
Our LHS is not greater than RHS as the question demands, thus this option is not correct
For option B, month 2 means x = 2. thus;
LHS is 3² = 9
RHS = 7(2) + 6 = 20
Our LHS is not greater than RHS as the question demands, thus this option is not correct
For option C, month 3 means x = 3. thus;
LHS is 3³ = 27
RHS = 7(3) + 6 = 27
Our LHS IS equal to the RHS and not greater than RHS as the question demands, thus this option is not correct
For option D, month 4 means x = 4. thus;
LHS is 3⁴ = 81
RHS = 7(4) + 6 = 34
Our LHS is greater than RHS as the question demands, thus this option is correct
HELP ME IM USING ALL MY POINTS MULTIPLE QUESTONS PLZ
hope it will help you.........
Answer:
UV=UZ+ZV
Step-by-step explanation:
UV=3y-5+2z+2
=3y+2y-3
but UV =27=3y+2y-3
30 =3y+2y
bisect means cut in to two equal parts so
3x+3=3y+6
3x-3y=6-3
3x-3y=3
then combine the two equation
30 =3y+2y this is 30=5y which is y=6
3 = 3x-3y so enter y=6 into this equation
3=3x-3*6
3=3x-18
3x=21
x=7