Answer:The minimum of function A occurs 1 unit higher than the minimum of function B.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Trust
a 20-foot flagpole casts a 6-foot Shadow how tall is a nearby building that casts a 30-foot shadow
The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is x5. Then all you have to do is 20x5 and you get 100ft.
Answer :
The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is x5. Then all you have to do is 20x5 and you get 100ft.
What is the probability of rolling a number less than three on a six-sided die?
Answer: The probability would be 1/3.
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
Only '1' and '2' are less than '3' on a 6-sided die.
Thus, only 2 out of 6 outcomes are of interest.
The probability of rolling a number less than three on a six-sided die is therefore 1/3.
what is the first step to solving this problem: 3x-10=2(x+3)
Answer:
x = 16
Step-by-step explanation:
3x - 10 = 2(x+3)
First step is solve this:
2(x+3) = 2*x + 2*3 = 2x + 6
then:
3x - 10 = 2x + 6
3x - 2x = 6 + 10
x = 16
Check:
3*16 - 10 = 2(16+3)
48 - 10 = 2*19 = 38
Answer:
x = 16
Step-by-step explanation:
you start off by isolating the variable
Solve the equation using the multiplication property of equality and the reciprocal of
1
4
.
1
4
( r −
5
2
) =
1
8
Evaluate 9x*2 y*−2 for x = –3 and y = 2. Answers:
Answer:
20 and 1/4.
Step-by-step explanation:
9x^2 * y^(-2), for x = -3 and y = 2.
9(-3)^2 * 2^(-2)
= 9 * 9 * (1/4)
= 81 * 1/4
= 81 / 4
= 20.25
= 20 and 1/4.
Hope this helps!
Answer:
Step-by-step explanation:
Let's fill the values in.
9(-3)*2(2)*-2
Using PEMDAS, we would first multiply the two numbers where x and y used to be.
-27 * 4 * -2
Now we would finish multiplying this.
216.
Hope this helps!! <3
A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find each probability. drawing a yellow chip, replacing it, and choosing a blue chip.
The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips.
Then the total number of the event will be
Total event = 7 + 9 + 3 + 6
Total event = 25
The probability of getting a yellow chip will be
Favorable event = 3 {yellow chip}
Then the probability will be
P(Y) = 3 / 25
The probability of getting a blue chip will be
Favorable event = 6 {blue chip}
Then the probability will be
P(B) = 6 / 25
Then the probability of drawing a yellow chip, replacing it, and choosing a blue chip will be
P = P(Y) x P(B)
P = (3/25) x (6/25)
P = 18 / 625
The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
Use a number line to approximate the value of root 33
Let's think about the square root of 33 here for a second.
What two perfect squares surround 33?
The answer is 25 and 36.
Then, let's take the square root of both 25 and 36, which are 5 and 6. Therefore, since the square root of 25 and 36 are both nearest to the square root of 33, then the square root of 3 must be between 5 and 6.
The correct answer is A (or option 1): 5 < root 33 < 6
Hope this helps! :)
Answer:
a (the first choice)
Step-by-step explanation:
To start, you should think of square root values near 33 that you know the answer to. For example, the square root of 25 is 5, and the square root of 36 is 6. Therefore, you know that the square root of 33 is 5.something because it is in between 25 and 36.
Find the hypotenuse and the shorter leg of a30°−60°−90° triangle, if the longer leg is 9 in.
Answer:
Since it's a 30-60-90 triangle, the hypotenuse should be
6 √ 3
and the short leg is
3 √ 3
Step-by-step explanation:
Ratio:
Short side: 1
Hypotenuse: 2
Long Side: √ 3
5. The cost of movie tickets at the
Cinema Verite is 9 dollars for adults
and five dollars for children under 12.
During the Saturday and Sunday
matinees, adults are charged 8 dollars
for admission and children under 12
are charged 4 dollars. At any time at
all, there is a group discount for groups
of 15 or more adults at a cost of 6
dollars per ticket. What is the cost for 2
adults and 3 children during the
Saturday matinee?
a. 27
b. 28
C. 14
d. 32
Answer:
its 28 dude, because it says that adults and children are played more on saturday.(adults on Saturday=$8 and children under 12 are $4
Please answer ASAP
Randomly pick 6 points from a square of side = 1. Show that you can always find 2 points from these 6 that their distance is less or equal to [tex]\frac{\sqrt{2} }{2} }[/tex]
Randomly pick 5 points from a sphere. Show that you can always find a closed semi-sphere ( half a sphere and boundary) that contains 4 points.
Problem 1.
My thinking is that the furthest you can get is have two points at each opposite corner, so the distance between them is sqrt(2). If we have two other points with this property, then all four corners are filled up. It is possible to pick two points where the distance is 1 unit.
Then a fifth point can be placed at the center such that the distance from it to any of the corners is sqrt(2)/2. We placed the fifth point at the center to try to get as far away as possible from the other four points.
Basically we're trying to find the worst case scenario (leading to the largest distance possible) and seeing how we can fill up the square. This establishes the upper bound. Any other kind of scenario will have a distance less than the upper bound.
===================================================
Problem 2.
For this one, I'm not sure what to make of it. The terminology is a bit strange so I'm not going to be fairly helpful here. Sorry about that.
If I had to guess, I'd assume it has something to do with the fact that a plane is uniquely defined by 3 points. That fourth point is not coplanar with the other three, which helps define the semi-spherical portion. The fifth point is just extra. The points can't be all collinear or else a plane won't form. Though to be honest, I'm still not sure about problem 2. I'd get a second opinion.
Graph the solution of 7x+3<−4 or 2x−3≥9
Answer:
Step-by-step explanation:
To do this you would simplify both sides.
For the first one:
[tex]7x+3<-4[/tex]
[tex]7x<-7[/tex] (subtract 3 from both sides)
[tex]x<-1[/tex] (divide 7 from both sides)
and for the second one:
[tex]2x-3\geq 9[/tex]
[tex]2x\geq 12[/tex] (add 3 to both sides)
[tex]x\geq 6[/tex] (divide 2 from both sides)
When you graph these they will look like these pictures
Answer:
[tex]x<-1[/tex] and [tex]x\geq6[/tex]
Step-by-step explanation:
[tex]\bf 7x+3<-4[/tex]
You must subtract 3 from both sides.
[tex]7x+3-3<-4-3\\[/tex]
After subtracting, we got
[tex]7x<-7[/tex]
Let's make it into a fraction and divide
[tex]\frac{7x}{7}<\frac{-7}{7}[/tex]
Now we got the answer
[tex]x<-1[/tex]
[tex]\bf 2x-3\geq 9[/tex]
You must add 3 to both sides.
[tex]2x-3+3\geq 9+3[/tex]
After adding, we got
[tex]2x\geq 12[/tex]
Let's make it into a fraction and divide
[tex]\frac{2x}{2} \geq \frac{12}{2}[/tex]
Now we got the answer
[tex]x\geq 6[/tex]
Your answer is [tex]\bf x<-1[/tex] or [tex]\bf x\geq 6[/tex].
Please someone help me
Answer:
r = 0.046212737
Step-by-step explanation:
A = 14,400 (what your investment originally is)
P = 7,200 (what you want your investment to be)
n = 365 (interest is compounded daily)
t = 15 (15 years)
Plug all of these numbers into the equation, then solve for r
14,400 = 7,200(1 + r/365)^365 · 15
Divide 7,200 on both sides --> 2 = (1 + r/365)^365 · 15
365 · 15 = 5475 --> 2 = (1 + r/365)^5475
5475√(2) = 1 + r/365 (root 5475 both sides to cancel out the exponent)
(5475√(2)) - 1 = r/365 (subtract one from both sides)
((5475√(2)) - 1) · 365 = r (multiply both sides by 365 to isolate r)
Type the left side into the calculator to get r --> 0.046212737.
Hope this helps!
A cylinder has a height of 4.5 cm and a diameter of 1.5 cm. What is the surface area of the cylinder in square centimeters? Use 3.14 for pi. A.21.2 B.24.7 C.7.9 D.31.8
Answer:
A = 56.5cm²
Step-by-step explanation:
r = 1.5cm
h = 4.5cm
A=2πrh+2πr2
A = 2πr(h+r)
A = 2 x 3.14 x 1.5 x ( 4.5 + 1.5 )
A = 56.62cm²
[tex] \large{ \underline{ \underline{ \bf{ \red{Given}}}}}[/tex]
Height of the cylinder = 4.5 cmDiameter of the cylinder = 1.5 cmConsider π = 3.14[tex] \large{ \underline{ \underline{ \bf{ \purple{To \: find}}}}}[/tex]
Surface area of the cylinder in cm²?[tex] \large{ \underline{ \underline{ \bf{ \green{Now, \: What \: to \: do?}}}}}[/tex]
For solving this question, we should know how to calculate the surface area of cylinder i.e Total surface are of cylinder = 2πr(r + h)
Where, r = radius of the cylinder and h is the height of the cylinder.
[tex] \large{ \bf{ \underline{ \underline{ \blue{Solution}}}}}[/tex]
We are provided with,
h = 4.5 cmd = 1.5 cmThen, Radius = 1.5 cm / 2
By using formula,
⇛ 2πr(r + h)
⇛ 2 × 3.14 × 1.5/2 (1.5/2 + 4.5) cm²
⇛ 2 × 3.14 × 3/4( 5.25) cm²
⇛ 24.7275 cm²
❇ Option B
✤ TSA of the cylinder = 24.7275 cm²
━━━━━━━━━━━━━━━━━━━━
Drag each object to show whether distance is proportional to time in the situation represented.
Answer: please find the answer in the explanation.
Step-by-step explanation:
1.) The distance is not proportional to time. Because the distance was constant from time = 3 seconds to 10 seconds.
2.) A person running down a field to score a touchdown. Not enough information.
3. A dog jogging at a constant speed for 20 minute. The distance is proportional to time because of the constant speed.
4.) The distance is proportional to time because their is increase in distance covered and increase in time taken.
5.) A truck passing through the 4 cities at a constant speed. The distance is proportional to time because the speed is constant.
6.) A horse running around a race track. Distance is not proportional to time because this is not a linear motion.
Plzz help I’ll mark brainliest
Answer:
6cot 50
Step-by-step explanation:
Tan 50=6/x
x= 6/(tan 50)
x= 6cot 50°
Answer:
? = 6 cot 50
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan 50 = 6 /?
? tan 50 = 6
? = 6 / tan 50
We know that 1 / tan 50 = cot 50
? = 6 cot 50
A solid hemisphere has volume 230cm^3. (a) Calculate the radius of the hemisphere. [The volume, V, of a sphere with radius r is V = 4 /3 = π r^3 .]
Answer:
[tex]\huge\boxed{r = 4.8\ cm}[/tex]
Step-by-step explanation:
Since it's a hemisphere, the volume will be:
Volume of Hemisphere = [tex]\frac{2}{3} \pi r^3[/tex]
Given that Volume of hemisphere = 230 cm³
230 = [tex]\frac{2}{3} \pi r^3[/tex]
Multiplying both sides by 3
230 * 3 = 2πr³
690 = 2πr³
Dividing both sides by 2π
690 / 2π = r³
r³ = 109.8
Taking cube root on both sides
r = 4.8 cm
Answer:
[tex]\large \boxed{\mathrm{4.79 \ cm}}[/tex]
Step-by-step explanation:
The volume of a hemisphere is half the volume of a sphere.
The formula for the volume of hemisphere is V = 2/3πr³.
The volume is given.
230 = 2/3πr³
Solve for r or radius.
Multiply both sides by 3/2.
230 × 3/2 = 2/3πr³ × 3/2
345 = πr³
Divide both sides by π.
(345)/π = (πr³)/π
109.816910733 = r³
Take the cube root of both sides.
∛(109.816910733) = ∛(r³)
4.78876002459 = r
Jemma has 24 balls. Out of the 24 balls, 12 are yellow, 4 are pink, and the rest are red. What is the ratio of the number of red balls to the number of balls that are either yellow or pink? arrowRight
Answer:
1 :2
Step-by-step explanation:
12 are yellow, 4 are pink
To find the number of red
24 -12 -4 = 8
There are 8 red balls
We want the ratio of
red: yellow or pink
8 : 12+4
8 :16
Divide each side by 8
8/8 : 16/8
1 :2
Answer:1:2
Step-by-step explanation: 12 yellow + 4 pink= 16
24 balls total minus 16 =8 red balls so 8:16=1:2
Find the surface area and volume of the following figures.
White figure Area = 128[tex]\pi[/tex]
White surface area = appro. 301
Yellow area = 320[tex]\pi[/tex]
Yellow Surface area = approx. 653
Area found with = 2πrh+2πr2
Surface Area found with = 2πrh+2πr2
You need to memorize them for tests
Hope that helped!!! k
4x = 2x + 2x + 5(x-x) does this have one solution, no solution or infinite solutions
Answer:
infinite solutions
Step-by-step explanation:
4x = 2x + 2x + 5(x-x)
Simplify
4x = 2x + 2x + 5*0
4x = 2x + 2x
4x = 4x
Divide by x
4 =4
This is always true so this has infinite solutions
Please help me with this!!!
Answer:
(f•g)(2)=3 and (g•f)(6)=7
Step-by-step explanation:
look at the tables
where x is equal to both 2 and 7 is where you will find your answer
Hope this helps you!
I know how to do it but right now I'm cooking and have no time please say if the first part is right and the second part will be much appreciated!
Part A is correct. We have x+15 as the length and x+3 as the width. Convention usually has the width be the smaller of the two.
------------------
Part B will have you replace x with 8 and simplify
length = x+15 = 8+15 = 23
width = x+3 = 8+3 = 11
the rectangle is 23 yards by 11 yards, so the area is 23*11 = 253 square yards
Answer:
Below
Step-by-step explanation:
As we see the area is expressed as second degree polynomial
We have already a side wich is (x+15)
● x^2 +18x + 45 = w × (x+15)
● w = (x^2 +18x+45)/(x+15)
Using the eucledian division we get:
● w = x+3
Since x^2 +18x +45 = (x+15) × (x+3)
So your answer was right
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's calculate the dimensions if x= 8 yards
● the length
x+15 = 8+15 = 23 yards
● the width
x+3 = 8 + 3 = 11 yards
● the area
(x+15)×(x+3) = 23 × 11 = 253 yards^2
I need help ASAP!! I have no idea how to do this and what side does it mean when it says other side??!
Answer:
1 point should be located before 4 points below C.
1 point should be located before 4 points above B.
1 point should be located at point A.
Select the correct answer from each drop-down menu.
35
30
25
Number of Roses
20
15
10
5
0
2
1
3
4
5
X
Number of Plants
According to the graph, the relationship between the number of rose plants and the number of roses is
Answer:
I think it is b
Step-by-step explanation:
How many units away is 1 from -6 on a number line?
Answer:
7 units
Step-by-step explanation:
(number line:)
<- -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ->
←there are 7 units from 1 to -6 (you don't count the 0)
(I'm not sure if you understood my explanation, but I do am sure about the answer, so if there is something you didn't understand let me know, and which part are you confused about so I can help you out!)
Answer:
[tex]\huge\boxed{\sf 7\ units}[/tex]
Step-by-step explanation:
To find that how much far they are from each other, we can subtract both of them.
=> 1 - (-6)
=> 1 + 6
=> 7 units
So, they are 7 units apart from each other.
The five-number summary for the number of touchdowns thrown by each quarterback in the British Football League is shown in the following table. About what per cent of quarterbacks in the British Football League threw more than 13 touchdowns?
Answer:
25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
PLEASE HELP ME!! I WILL GIVE BRAINLIEST!!
Find the output, y, when the input, x, is -5.
Answer:
[tex]\boxed{y = -2}[/tex]
Step-by-step explanation:
Hey there!
To find y when x is -5 we go to -5 on the x-axis.
When at -5 find where the blue line is vertical to -5,
which is -2.
Hope this helps :)
plz help me i need help
Find the value of m∠ACD. A. 30º B. 15º C. 60º D. 90º
Answer:
A. 30 degrees
Step-by-step explanation:
Set the two angles equal to each other:
3x-15 = 45-x
Solve for x:
4x -15 = 45
4x = 60
x = 15
Finally, plug in the x to one of the equations (preferably 45 - x since it's easier to solve) and solve for x.
45 - 15 = 30
Answer:
A 30 degrees
Step-by-step explanation:
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.
y = 6x − x2, y = 8; about x = 2
Answer:
[tex]\mathbf{V = [\dfrac{ 8 \pi }{3}] }[/tex]
Step-by-step explanation:
Given that:
y = 6x - x² , y = 8 about x = 2
To find the volume of the region bounded by the curves about x = 2; we have the radius of the cylindrical shell to be x - 1, the circumference to be 2 π (x -2 ) and the height to be 6x - x² - 8
6x - x² - 8
6x - x² - 8 = 0
-x² + 6x - 8 = 0
x² - 6x + 8 = 0
(x -4) (x - 2 ) = 0
So;
x = 2 , x = 4
Thus, the region bound of the integral are from a = 2 and b = 4
Therefore , the volume of the solid can be computed as :
[tex]V = \int \limits ^b _a \ 2x \times f(x) \ dx[/tex]
[tex]V = \int \limits ^4_2 2 \pi (x -2) (6x -x^2 -8) \ dx[/tex]
[tex]V = 2 \pi \int \limits ^4_2 (6x^2 - x^3 -8x -12 x - 2x^2 +16) \ dx[/tex]
[tex]V = 2 \pi \int \limits ^4_2 (8x^2 -x^3-20x +16) \ dx[/tex]
[tex]V = 2 \pi \int \limits ^4_2 ( -x^3+8x^2-20x +16) \ dx[/tex]
[tex]V = 2 \pi [\dfrac{ -x^7}{4}+\dfrac{8x^3}{3} -\dfrac{20x^2}{2} +16x]^4_2[/tex]
[tex]V = 2 \pi [\dfrac{ -(4^4-2^4)}{4}+\dfrac{8(4^3-2^3)}{3} -\dfrac{20(4^2-2^2)}{2} +16(4-2) ]^4_2[/tex]
[tex]V = 2 \pi [\dfrac{ -(256-16)}{4}+\dfrac{8(64-8)}{3} -10(16-4)} +16(2) ][/tex]
[tex]V = 2 \pi [\dfrac{ 4}{3}][/tex]
[tex]\mathbf{V = [\dfrac{ 8 \pi }{3}] }[/tex]
What does y equal -3=15+4y
Answer:
-3 = 15+4y
4y = 12
y = 3.......
