Answer:
24
Step-by-step explanation:
We are given a leg and the hypotenuse, and we can put what we have into the pythagorean theorem formula:
a^2 + b^2 = c^2
7^2 + b^2 = 25^2
49 + b^2 = 625
b^2 = 576
b = 24
Garden has an area of 28 m² the length of the garden is 7 m what is the width of the garden
Answer:
4m
Step-by-step explanation:
7x4=28
meters=[tex]m^{2}[/tex]
ANSWER FAST
k+12>=20, if k=15
Answer:
Thats not true
Step-by-step explanation:
12+15=27
27>20
27 is greater than 20 but your equation doesn't equal 20
VERY URGENT PLEASE HELP!!!!
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $59,904. The variable costs will be $9.25 per book. The publisher will sell the finished product to bookstores at a price of $22.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer:
4608
Step-by-step explanation:
If you rotate a equilateral triangle by a side, what is the name of the resulting 3d shape
A solid of revolution is a three-dimensional figure obtained by rotating a two-dimensional figure (or curve) around a straight line (called the axis) that lies in the same plane. ... Since the triangle's interior is shaded, it creates the interior of the cone, creating a solid figure.
Three dimensional shapes are obtained by rotating the two dimensional shapes. When a circle is rotated we get sphere; when a triangle is rotated we get cone; when rectangle or square is rotated we get cylinder
What is the value of 4^3 divide 2^3
Answer:
98
Step-by-step explanation:
Multiply the reciprocal of the second number,
Multiply the numerators and denominators respectively,
Answer:
8
Step-by-step explanation:
Reduce the expression by cancelling the common factors
Find the measure of
angle R.
Answer:
147
Step-by-step explanation:
since it is straight line, subtract 33 from 180 - - > 180 - 33 = 147
Each table shows a proportional relationship between x and y, Match each table with its constant of proportionality
ху
у
ху
х
y
1 20
2
80
2 0.4
7.5 4,5
2 40
B 320
4 0.8
10
6
3 B0
12 480
9 1.8
17.5 10.5
0.6
0.2
20
40
Have
Answer:
From left to right
20, 40, 0.2, 0.6
Step-by-step explanation:
y/x = k
1st chart
20/1 = 20
2nd chart
80/2 = 40
3rd chart
0.4/2 = 0.2
4th chart
4.5/7.5 = 0.6
A tank contains 100 kg of salt and 1000 L of water. A solution of a concentration 0.05 kg of salt per liter enters a tank at the rate 99 L/min. The solution is mixed and drains from the tank at the same rate.
Required:
a. Find the amount of salt in the tank after 3.5 hours.
b. Find the concentration of salt in the solution in the tank as time approaches infinity.
Correct question is;
A tank contains 100 kg of salt and 1000 L of water. A solution of a concentration 0.05 kg of salt per liter enters a tank at the rate 9 L/min. The solution is mixed and drains from the tank at the same rate.
Required:
a. Find the amount of salt in the tank after 3.5 hours.
b. Find the concentration of salt in the solution in the tank as time approaches infinity.
Answer:
A) y(3.5) = 40.11 kg of salt
B) Concentration as time approaches infinity = 0.05 kg/l
Step-by-step explanation:
We are given;
Mass of salt; m_s = 50 kg
Volume of water; v_w = 1000 L
Rate at which salt enters = 0.05 kg/L × 9 L/min. = 0.45 kg/min
Since the solution drains at same rate as it enters, then;
Rate at which salt goes out = 9y/1000
Where y is the concentration in the tank.
Thus, the differential equation of the amount of water in the tank will be;
dy/dt = Rate at which salt enters - Rate at which salt goes out
dy/dt = 0.45 - (9y/1000)
Simplifying this gives;
dy/dt = (9/1000)(50 - y)
Rearranging, we have;
dy/(50 - y) = dt(9/1000)
Integrating both sides gives;
In(50 - y) = 9t/1000 + A
If we do exponents of both sides, we will get;
50 - y = Ae^(-9t/1000)
At initial conditions, y = 0 and t = 0.
Thus;
A = 50
Thus, quantity of salt in tank will be written as;
50 - y = 50e^(-9t/1000)
Making y the subject gives;
y = 50 - 50e^(-9t/1000)
At t = 3.5 hours = 210 minutes
y = 50 - 50e^(-9 × 180/1000)
y(3.5) = 40.11 kg of salt
As t approaches infinity, it means t will be zero. Thus;
y = 50 - 50e^(-9 × 0/1000)
y = 50 kg
Concentration = 50/1000 = 0.05 kg/l
What is 3x73 I need some help.
Answer:
219
Step-by-step explanation:
Need help please!!!!!!!!!!
Answer:
n=39
Step-by-step explanation:
I answered, now do the test on your own, no one likes a cheater
Please help me with this asap!
Answer:
c
Step-by-step explanation:
PLEASE ANSWER ASAPP!!!
For what value of y must LMNP be a parallelogram?
Answer:
113° = y
Step-by-step explanation:
y = 180 - 67
y = 113°
Hope this helps!
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
h = 6.7km
Step-by-step explanation:
4.5^2 + 4.9^2 = c^2
44.26 = c^2
6.65 = c
Martha recorded the eye colors of the people who have already signed up for a lecture on genetics.
gray 1
brown 10
hazel 1
green 1
blue 7
Considering this data, how many of the next 16 people to sign up should you expect to be brown-eyed?
=====================================================
Explanation:
According to the table, 10 people have brown eyes. This is out of 1+10+1+1+7 = 20 people total. So 10/20 = 0.50 = 50% of the group has brown eyes.
If this trend holds up, then we expect 50% of the next group of 16 people also have brown eyes.
50% of 16 = 0.50*16 = 8
We expect 8 people to have brown eyes in this next group. This is of course assuming that the first group is unbiased and represents the population (or is close enough).
What is the simplified form of the expression?
Answer:
4 sqaure root 24x^3/ 2x
Step-by-step explanation:
See steps below:)
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8. If they have three children, what is the probability that exactly two of their three children will have that trait? Round your answer to the nearest thousandth
Answer:
0.384 = 38.4% probability that exactly two of their three children will have that trait.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they have the trait, or they do not. The probability of a child having the trait is independent of any other child. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8.
This means that [tex]p = 0.8[/tex]
Three children:
This means that [tex]n = 3[/tex]
What is the probability that exactly two of their three children will have that trait?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{3,2}.(0.8)^{2}.(0.2)^{1} = 0.384[/tex]
0.384 = 38.4% probability that exactly two of their three children will have that trait.
Pllsssssssss hellllllppp
Answer:
Yes it is talking about more than one person
30points Work out for d (composite functions)
Step-by-step explanation:
fg(x)=8x+df(g(x))=8x+df(cx+4)=8x+dc(2x+c)+4=8x+d2cx+c²+4=8x+dd=2cx+c²+4-8xstay safe healthy and happy.help(I need this to pass 6th)
Answer:
It is going to be the first one
Find the volume of a rectangular storage box that is 10 inches high, 24 inches long, and 16 inches wide.
Answer:
3,840 in^3
Step-by-step explanation:
hay guys can you plz help
We can notice from the figure that : Area of the home plate is equal to sum of the Area of the rectangle ( 8 in x 15 in) and Area of the triangle with height 6 in and base 15 in.
Area of the rectangle : Length x Width
⇒ Area of the rectangle = 15 x 8 = 120 in²
Area of the triangle : 1/2 x Base x Height
⇒ Area of the triangle = 1/2 x 15 x 6 = 45 in²
Area of the home plate = Area of rectangle + Area of triangle
⇒ Area of the home plate = 120 in² + 45 in² = 165 in²
Answer : D
A regular hexagon has a perimeter of 127 m. Find its area to the nearest tenth.
Answer:
1164.01
Step-by-step explanation:
First you realize there is 6 sides on a hexagon. Then, you divide the 127 by 6. Then you split the hexagons into 6 parts. This leads you to a triangle. Then if you divide the degrees so 360 total degrees/6 parts = 60. If you split that triangle in half, the angle becomes 30 degrees. Then you will realize the 30 degree is pointed at the 127/12. Because you know the x, (x)(Square root 3), 2x theorem (the 30, 60, 90 triangle), you get the height of the triangle which is about 18.33 . Then you do the area of Triangle = 1/2 * base * height. Therefore you should get 194.00 Because there is 6 parts to a hexagon, you then need to multiply by 6. Your final answer should be 1164.01. This should be correct, please correct me if I’m wrong, thanks.
Please someone please helps me with this question pls
Plz help meeeeeeeeeeee
Answer:
kjk
Step-by-step explanation:
ddfv
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
c = 8.9 or 4√5
Step-by-step explanation:
Answer:
8.9
Step-by-step explanation:
Please help me answer/figure this out please. No links
PLEASE HELP ME!!
Find the measure of angle A:
Find the measure of angle B:
Answer:
Measure of angle A is 65 degrees and measure of angle B is 37 degrees.
Step-by-step explanation: First add all of the degrees of excluding x (4+(-9)) which is -5. Then subtract that from 180 since that is the sum of all the angles in a triangle which gives you 185. Then divide it by the number of "x's" that there are which is 5 which gives you 37. So angle B is x which is 37 degrees and angle a is 2(37)-9 which is 65 degrees. Hope this helps.
Which expression has the same value as 6 x 90?
Answer:
Step-by-step explanation:
There are no other expression here what are the answer options
Six chicken nuggets have 204 calories. How many calories are in 9 chicken nuggets
Answer:
306 calories
Step-by-step explanation:
By looking at the problem, we can conclude the number of chicken nuggets and the calories are directly related, when the amount of chicken nuggets go up, the calories also go up, proportionally. Because of this, we can set up an equation:
6 / 204 = 9 / x
Where x is the amount of calories in 9 chicken nuggets.
Now, we can simplify by cross multiplying:
6x = 1836
x = 306 calories
Answer:
306 calories
Step-by-step explanation:
HELPPP ASAP!!!! Rmrnkesmn
Answer:
B) 82 degrees
Step-by-step explanation:
360-108-92-78=82