Answer:
9
Step-by-step explanation:
Highest number is 19 lowest is 10. 19-10 is 9.
What is the opposite of dividing by 21? A. dividing by 21 B. multiplying by 21 C. subtracting 21 D. adding 21
Answer:
the correct answer is option B
Select the two expressions equivalent to 25 .
Answer: 2 primes 1 disinct
Step-by-step explanation:
Which of the following functions has a vertical asymptote at x=3?
Answer:
the last one: f(x) = 1/(x-3)
Step-by-step explanation:
Vertical asymptote at x=3 means dividing by zero for x=3. If you examine all denominators with x=3, you find that the last one divides by zero (3-3).
Write the equation of the circle centered at ( - 4,7) with radius 20?
Answer:
(x + 4)² + (y - 7)² = 20²
Step-by-step explanation:
Graphing form
(x - h)² + (y - k)² = r²
(h, k) is the center = (-4, 7)
r is the radius = 20
-----------------------------------
Plug in the givens
(x + 4)² + (y - 7)² = 20²
a rectangle park has a perimeter of 80m one side measures 16m what are the lengths of the other three sides
Answer:
16m 24m and 24m
Step-by-step explanation:
Given the fact that it's a rectangle, and 1 side is 16m, we know that 1 of the other sides will be 16m. After that and some simple subtraction, we get the other 2 sides are 24m.
Hey! Can someone please help me with this question? Really appreciate it
Answer:
[tex]d = 0.112* 10^3[/tex]
Step-by-step explanation:
Given
[tex]h = 8.4 * 10^3[/tex]
[tex]d = \sqrt{\frac{3h}{2}}[/tex]
Required
Find d
We have:
[tex]d = \sqrt{\frac{3h}{2}}[/tex]
Substitute: [tex]h = 8.4 * 10^3[/tex]
[tex]d = \sqrt{\frac{3*8.4 * 10^3}{2}}[/tex]
[tex]d = \sqrt{\frac{25.2 * 10^3}{2}}[/tex]
[tex]d = \sqrt{12.6 * 10^3}[/tex]
Express as:
[tex]d = \sqrt{1.26 *10* 10^3}[/tex]
[tex]d = \sqrt{1.26 *10^4}[/tex]
Split
[tex]d = \sqrt{1.26} *\sqrt{10^4}[/tex]
[tex]d = 1.122* 10^2[/tex]
To write in form of: [tex]a * 10^b[/tex]
The value of a must be: [tex]0 \le a \le 1[/tex]
So, we have:
[tex]d = 0.1122* 10 * 10^2[/tex]
[tex]d = 0.1122* 10^3[/tex]
Approximate
[tex]d = 0.112* 10^3[/tex]
Find the equation (in terms of x ) of the line through the points (-3,4) and (1,-8)
Answer:
A(-3,4) B(1,-8)
y-y1/x-x1 =y2-y1/x2-x1
y-4/x--3 = -8-4/1--3
y-4/x+3 = -12/1+3
y-4/x+3 =-12/4
y-4/x+3 = -3
y-4 = -3(x+3)
y-4=-3x-9
y+3x +9-4=
y+3x+5=0
Answer:
y = -3x - 5
Step-by-step explanation:
-3, 4 and 1, -8
1 - -3 = 4
-8 - 4 = -12
[tex]\frac{-12}{4}[/tex] = [tex]\frac{-3}{1}[/tex] = -3
gradient/slope = -3
now substituting in the point -3, 4 to find the y intercept:
4= -3 x -3 + c
4 = 9 + c
-5 = c
y intercept = -5
equation is y = -3x - 5
Solve the following system of equations.
y=2x+16
2x−7y=−64
Possible answers
-4,8 -1,11 -7,11
Answer:
x = -4, y = 8
Step-by-step explanation:
y = 2x + 16 -----(1)
2x - 7y = - 64 -------(2)
Substitute (1) in (2)
2x - 7(2x + 16) = - 64
2x - 14x - 112 = - 64
-12x = -64 + 112
-12x = 48
x = -4
Substitute x = -4 in (1)
y = 2(-4) + 16
y = -8 + 16
y =8
Answer:
It is -4,8.
Step-by-step explanation:
y=2x +16
{
-7y=-2x-64
-6y=-48
y=8 then using substitution you will get x=-4
In a large population of adult rabbits, the mean ear length is 4.5 inches with standard deviation 1.25 inches. Suppose 16 rabbits from this population are randomly selected for an experiment. The approximate distribution of the sample mean ear length is:
Answer:
(4.5, 0.3125)
Step-by-step explanation:
given that
The mean is 4.5 inches
the standard deviation is 1.25 inches
and, the sample of 16 rabbits is selected
we need to find out the approximate distribution
so,
= (4.5, 1.25 ÷√16)
= (4.5, 0.3125)
hence, the same is to be considered
The most economical proportion for a right circular cone is to have its height three times long as its base diameter. What lateral area of the cone would produce a volume of 100m^3.
9514 1404 393
Answer:
∛(2500π)√37 m² ≈ 120.911 m²
Step-by-step explanation:
If the height is 3 times the diameter, it is 6 times the radius. Then the volume is ...
V = 1/3πr²h
V = 1/3πr²(6r) = 2πr³
For a volume of 100 m³, the radius is ...
100 m³ = 2πr³
r = ∛(50/π) m
The lateral area of the cone is computed from the slant height. For this cone, the slant height is found using the Pythagorean theorem:
s² = r² +(6r)² = 37r²
s = r√37
Then the lateral area is ...
LA = πrs
LA = π(∛(50/π) m)(∛(50/π) m)√37
LA = ∛(2500π)√37 m² ≈ 120.911 m²
The lateral area of the economical cone with a volume of 100 m³ is 120.911 m².
What is the lateral area of the cone?The lateral area of the cone is the curved area of the cone, therefore, the total area of the cone is without the base area.
As we know that the volume of the cone is given by the formula,
[tex]V = \dfrac{1}{3}\pi r^2h[/tex]
Now, for the right circular cone to be economical, the height must be 3 times the diameter or it should be 6 times the radius. Therefore, the economical volume can be written as,
[tex]V = \dfrac{1}{3}\pi r^2h\\\\V = \dfrac{1}{3}\pi r^2(6r)[/tex]
Now, if cancel out the 3 in the remainder with the six in the numerator, the volume of the cone can be written as,
[tex]V = 2\pi r^3[/tex]
Further, we need to calculate the lateral area of the cone, whose volume is 100 m³. Now, in order to get the radius of the economic cone with the volume of 100 m³, substitute it with 2πr³,
[tex]V = 2\pi r^3\\\\100 = 2\pi r^3\\\\r = 2.5154\rm\ m[/tex]
We know that in order to calculate the lateral area of the cone we need to calculate the slant height. Thus, according to the Pythagorean theorem, the slant height can be written as
[tex]s^2 = r^2 +(6r)^2\\\\ s^2 = 37r^2\\\\ s = r\sqrt{37}[/tex]
Now, the lateral area of the economical cone with the volume of 100 m³ can be written as,
[tex]LA = \pi rs\\\\LA = \pi \times r \times r\sqrt{37}\\\\LA = \pi \times r^2 \times \sqrt{37}\\\\LA = \pi \times (2.5154)^2 \times \sqrt{37}\\\\LA = 120.911\rm\ m^2[/tex]
Hence, the lateral area of the economical cone with a volume of 100 m³ is 120.911 m².
Learn more about the Lateral Area of the Cone:
https://brainly.com/question/12267785
What is the y-intercept of y = -3 - 7x?
Answer:
make x=0 then y=-3-7(0)= (0 -3)
Answer:
y=-3
Step-by-step explanation:
see steps below:)
A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given that there are 56 meters of fencing available, determine the dimensions that would create the garden of maximum area. You may enter an exact answer or round your answer to the nearest hundredth.
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
THIS IS WORTH 30 POINTS
1. Point B is located at (-4, -6). Where is the location of B’ after a reflection over the y-axis?
Answer:
your awnser would be [4, −6]
Step-by-step explanation:
hope this helps
Need help with this question 20 points
Answer:
As x → ∞, f(x) → ∞
As x → -∞, f(x) → 3
Step-by-step explanation:
This question is asking for the end behavior of the graph. In this case, as x increases f(x) also increases; therefore, they both approach positive infinity at the same time. Additionally, the horizontal asymptote of the graph is 3. This means that as x approaches -∞, f(x) will approach the asymptote, 3.
15 men can build a wall in 20 days. How long will 25 men take to build the
same wall?
Answer:
Step-by-step explanation:
no of men no of days
15 20
25 let be x
it is in indirect proportion
15/25=x/20
do cross multiplication
25*x=20*15
25x=300
x=300/25
x=12
therefore ot will take 12 day to complete the same wall by 25 men.
Devaughn is 15 years older than Sydney. The sum of their ages is 107. What is Sydney's age?
Answer:
The age of Sydney's is 46 and the age of Devaughn is 61
Step-by-step explanation:
Here;
Devaughn: 15yrs older that S..= 15+7= 22yrs old
sum of their age= 107
Now;
Sydney age= 107 - 100
7yrs old,,
SOMEONE PLEASE HELP!
I dont know Im sorry
Step-by-step explanation:
I just want points in not that smart
There are______
Pairs of integers satisfying a÷b = -2
Answer:
There are only 1
Pairs of integers satisfying a÷b = -2
Step-by-step explanation:
Answer:
[tex]all \: positive \: integers \: in cluding \: 1[/tex]
so I dont really know how many
Step-by-step explanation:
eg
[tex] \frac{ - 2}{1} \\ \frac{ - 4}{2} \\ \frac{6}{ - 3} \\ = - 2[/tex]
they are all equal to negative 2
Bill used a rain gauge to measure how much rain fell, in centimeters (cm), during a
rainfall.
(ANYONE WANNA HELP ME?)
Step-by-step explanation:
done hope this helped you
How do the absolute values of - 12.5 and 11.5 compare? Choose a symbol to make the statement true.
Answer:
Step-by-step explanation:
11.5 is greater than -12.5
Answer: -12.5 is greater
-
Step-by-step explanation:
What side has the same length as BC?
Answer:
DE
Step-by-step explanation:
You can tell by the markings. Since there are two vertical markings it concludes that those sides are the same length.
A football is dropped from a height of 25 feet, and the ball bounces with
each bounce à as high as the preceding one. What is the total distance it
would have traveled by the 8th bounce?
a=25
d=-1
n=8
tn=a+(n-1)d
tn=25-7=18
total distance it 18feet would have traveled by the 8th bounce!!
Mike has a bank account whose balance is represented by A(t)=10,000*3.138^t. Where t is in years. Write the function so it reflects the monthly rate of interest . Around the nearest percent
9514 1404 393
Answer:
A(m) = 10000×1.10^m; 10% monthly interest
Step-by-step explanation:
If t is the time in years and m is the corresponding time in months, then we have ...
m = 12t
t = m/12
So, the balance is ...
A(t) = 10000×3.138^t
A(m) = 10000×3.138^(m/12) = 10000×(3.138^(1/12))^m
A(m) = 10000×1.10^m
The monthly interest rate is 10%.
_____
The monthly growth factor 1.10 is 1 more than the monthly growth rate.
growth rate = growth factor -1 = 1.10 -1 = 0.10 = 10%.
if you add 5 over 8 + 5 over 8.. how do you simplify it and write it as a mixed number?
Answer:
its equal to 10 over 8
Step-by-step explanation:
then u divide the numerator and denominator by 2 over 2 which will give you 5 over 4
since it's 5 over 4 you 1 whole number which become 1 and 1 over 4
Which equation is the inverse of y = x2 + 16?
O y = x2 – 16
y=+√x - 16
y=+NX-16
y = x2 - 4
Hi there!
[tex]\large\boxed{y = \pm \sqrt{x - 16}}[/tex]
To solve for the inverse, swap the x and y variables:
x = y² + 16
Isolate for y by subtracting both sides by 16:
x - 16 = y²
Square root both sides:
√(x - 16) = y
Add the plus/minus sign:
y = ±√(x - 16)
Answer:
c
Step-by-step explanation:
PLS ITS URGENT ILL GIVE 70 POINTS AND BRAINLIEST
ANY TROLL ANSWERS WILL GET REPORTED
Mr. and Mrs. Pinkerton have four boys. Every time people notice this they comment about the odds of this happening. The Pinkertons decide to set up a simulation with 10 trials to
determine the probability.
Answer these three questions with 1-2 sentences
a. What simulation could be used to represent the likelihood of having a boy or a girl?
b. Which outcome represents having a boy? Which outcome represents having a girl?
c. How should the simulation be designed in order to account for four different children?
Answer:
a. Flipping a coin
b. heads ⇒ boy tails ⇒ girl
c. Flip 4 coins (1 for each child) ten times
Step-by-step explanation:
Please help meeeeeeee
Answer:
5040
Step-by-step explanation:
This is a problem of permutation where one has to arrange all the letters of the word taken all at a time. Since in N lettered word if all the letters are different then it can be arranged in N! ways i.e factorial N ways.
In the problem mentioned given
Word : Musical
number of words = 7 (all the words are different)
Number of ways to arrange it = 7!
7*6*5*4*3*2*1 = 5040
Hence 5040 is the answer!
Hurry which one
A.144
B.204
C.408
D.1200
Answer:
B) 204
Step-by-step explanation:
Rectangle 12 * 12 = 144
+
(2) Triangle A=h (b/2) = 12*(5/2) = 30 each
find the surface area of the shape.
Answer:
268 m²
Step-by-step explanation:
8x26=208
3x10x2=60
208+60=268
Can someone help me with this pls
Answer:
252
Step-by-step explanation:
To answer the equation, you first need to note that it asks for surface area.
To find surface area, you use an input formula, known as SA=2lw+2lh+2hw. 'H' stands for height, 'L' stands for length, and 'W' stands for width.
Since the current height is 12, the current length is 6, and the width is 3, you need to plug them into the equation.
SA=2(6)(3)+2(6)(12)+2(12)(3)
SA=252
Quick tip! It's tempting to just multiply them all at once, but using the power of distribution is vital to solving these equations.