Answer:
[tex] \displaystyle V _{ \text{cuboid}} =280 {in}^{3} [/tex]
Step-by-step explanation:
We are given the area of the base and the measure of the height of a solid figure . We want to find the volume of the figure.
Notice that the area of the base of the figure is not a perfect square. Thus, we assume the solid figure to be a cuboid.
What is Cuboid?Cuboid is a three dimensional rectangle. The dimensions of cuboid are length, width and height
Remember that
[tex] \displaystyle V _{ \text{cuboid}} = l\times w \times h[/tex]
Since the base area (l×w) is 40in² and height (h) is 7in, simply substitute:
[tex] \displaystyle V _{ \text{cuboid}} =40 \times 7[/tex]
simplify multiplication:
[tex] \displaystyle V _{ \text{cuboid}} =280[/tex]
hence,
The volume of the figure is 280 in³
The population of rabbits in a forest follows the law of
exponential
growth.
If 90 rabbits are present initially and
there are 180 after 3 years, how many will here be in 4 yours
Answer:
226.78579
Step-by-step explanation
first, find k in 90(3^kx)
90(e^0) = 90 [when time is 0 years, the population is 90]
180=90(e^k3), 2=e^3k
ln2 = 3k, k=(ln2)/3
90(e^4(ln2)/3) = 90(e^ln(16)/3)
it is about 226.78579
A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 100 m3/hr at 6 am and increases steadily to about 280 m3/hr at 9 am. Using only this information, give your best estimate of the total volume of water used by the factory between 6 am and 9 am.
Answer:
570 m³
Step-by-step explanation:
The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).
We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:
[tex]V_L= 100 m^3/h * 3h=300\ m^3[/tex]
Also, let us assume that it flows at the same flow rate as it was at 9 am throughout, hence:
[tex]V_R= 280 m^3/h * 3h=840\ m^3[/tex]
To get the best estimate of the total volume, let us find the average of the two values, hence:
[tex]Volume=\frac{V_L+V_R}{2} =\frac{300+840}{2}=570\ m^3[/tex]
Solve the simultaneous equations
2x - 5y = 9
3x + 4y = 2
Answer:
x = 2
y = 1
Step-by-step explanation:
Answer:
x= 2
y= -1
Step-by-step explanation:
Reduce la siguiente expresión algebraica:
E(x,y)=x3y5+3y5x3+12x3y5−2y5x3
es para hoy
Answer:
123456789101112131415161718192021222324252627
The diagram shows Maha's garden.
AB = 15.3 m.
BC= 13.6m.
AD = 24.0m.
Find the perimeter of the garden.
Answer:
perimeter = 71.4 m
Step-by-step explanation:
using the Pythagorean theorem:
CD² = 15.3² + (24 - 13.6)² = 234.09 + 108.16 = 342.25
CD = √342.25 = 18.5
perimeter = 24 + 15.3 + 13.6 + 18.5 = 71.4 m
During a school fund-raiser, the Student Government Association tracked the
average donation by student. Which of the following can you conclude about
the fund-raiser?
Average Number of Dollars Donated
to Kennedy High School, by Grade
120
100
80
60
Average donation (S)
20
0
9th
10th
12th
11th
Grade
A. The higher the grade, the larger the average donation.
O B. The school raised a total of $100.
c. 100 12th graders donated to the fund-raiser.
D. The school raised $271.
Answer:
A) The higher the grade, the larger the average donation
Answer:
The Answer is A
Step-by-step explanation:
Abdul earns 44 dollars per week working part-time at a book store. He makes one dollar more for each book that he sells. The amount, A (in dollars), that Abdul
earns in a week if he sells b books is given by the following function.
A(b) = 44+b
How much does Abdul earn in a week if he sells 31 books?
Answer:
$75
Step-by-step explanation:
he makes $44 and then you add the dollar per 31 books making $75
im sooooooooo bord sooooo you get 100 points for ansering 1+1¥¥¥¥¥¥¥¥
Answer:
1+1=2
Step-by-step explanation:
THANKS YOU YAY HOPE IT HEOPS
Answer:
2 thanks
Step-by-step explanation:
Which of the following options have the same value as 30% percent of 81?
Answer:
24.3
Step-by-step explanation:
30% of 81 can be found by converting the percentage into the fraction 0.30 and then multiplying: 0.30(81) = 24.3
Find the value of x. Round to the nearest tenth. x=
27 , 34 , 11 ,
Will give brainliest
Answer:
13.5
Step-by-step explanation:
your teacher wrote all the tools you need down already.
we only need to apply them.
is that really so difficult ?
because of the law of sines we have
sin(27)/11 = sin(34)/x
we can also turn this upside down to simplify the calculation.
11/sin(27) = x/sin(34)
x = 11×sin(34)/sin(27) = 13.549 ≈ 13.5
there, that was all there was to it ...
7)
The diagram below shows the graph of y = |x-3|
Which diagram shows the graph of y= -|x - 3|
Answer:
y= -|x - 3| graph
Step-by-step explanation:
help me for a brianly
Answer:
35
Step-by-step explanation:
you multiply like it is a rectangle then you cut your answer in half in this case 7x10=70 cut in half is 35
The triangle shown is rotated about line m.
What is the approximate base area of the resulting three-
dimensional figure?
Area of a circle: A = rr?
m
10 cm
8 cm
38 sq. cm
113 sq. cm
201 sq. cm
314 sq. cm
6 cm
Answer:
B 113
Step-by-step explanation:
on edg
From the information given, the area of the circle is: "113 sq. cm".
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
The formula to find the area of a circle is,
Area = πr².
Now, Using the side as the radius of the circle, we can calculate the area of the base area.
Here,
Radius r = 6
Thus, We get;
A = π x 6²
A = (22/7) x 36
A = 3.14285714286 x 36
A = 113.12
A ≈ 113 square unit.
Hence, The area of the circle is,
⇒ A = 113 sq. cm.
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PLZZZ HELP!!!!!!!!!1
What is the median and Q1 of the data set represented on the plot?
Median = 30; Q1 = 20
Median = 33; Q1 = 20
Median = 30; Q1 = 25
Median = 33; Q1 = 25
Answer:
i cant put the picture
Step-by-step explanation:
d. Median=33;Q1=25 the median is represented by the line in between the two boxes. Q1 is represented by the line on the far left of the box in the picture Q1 is marked for quadrent 1 and m is for median
The height meters of a mass projected vertically upwards at a time seconds s=ut-0.5gt².
Determine how long the mass will take after being projected to reach a height of 16m on the ascent.
b. on the descent when u=30m/s and g=9.8m/s
9514 1404 393
Answer:
t ≈ 0.590 s (ascent); 5.532 s (descent)
Step-by-step explanation:
We are interested in the values of t when s=16.
s = 30t -4.9t²
4.9t^2 -30t +16 = 0 . . . . . substitute 16 for s; put in standard form
The quadratic formula can be used to find the solutions:
t = (-(-30) ±√((-30)² -4(4.9)(16)))/(2(4.9))
t = (30 ±√586.4)/9.8 ≈ 0.59023, 5.53221 . . . . seconds after launch
a) It will take 0.590 seconds to reach 16 m height initially.
b) It will take 5.532 seconds to return to 16 m height on descent.
A car wash attendant counted the number of cars washed and the total amount of money earned. The company charged the same price for each car washed and earned $165 for 15 cars, $231 for 21 cars, and $275 for 25 cars. Write an equation for the relationship between the number of cars washed, n, and the number of dollars earned, m.
2.6x + 10.5 = 31.3
I need to find the answer of x whoever gets it correct will get brianliest!
Answer:
2.6x + 10.5 = 31.3
Step-by-step explanation:
Find the area of the semicircle. Enter the an exact answer in terms of or use 3.14 for and enter your answer as a decimal. PLEASE ANSWER NOW!
Answer:
6.28 units²
Step-by-step explanation:
The formula for finding the area of a circle:
πr²
We are given r = 2. So,
π(2)²
12.56 units²
However, it is a semicircle. So, only half of this value is needed.
12.56/2 = 6.28 units²
Answer:
area =12.56
Step-by-step explanation:
area of a semicircle=(pi(r)^2)/2
(3.14(2)^2)/2
(3.14(4))/2
12.56/2
6.28
Please help me with this I'm having some trouble
obtuse: B
straight: C
acute: A
right: D
Step-by-step explanation:
Draw a clock and put the hands on the clock and you can see the angel that the clock has.
The experimental probability that Kevin will catch a
fly ball is equal to 3/4. About what percent of the
time will Kevin catch a fly ball?
A. 77%
B.55%
C.88%
D.75%
Answer:
C.
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
The fraction 3/4 is equivalent to 75%. Therefore, the percent Kevin will catch a fly ball is 75%.
A manufacturing company produces 275 units per day currently. The company's goal is to increase the number of units
manufactured per day by 50 each year. If the company meets its goal, how many units will it be producing per day 8 years
from now?
Select the correct answer below:
333
400
625
675
725
Answer:
D) 675 units per day.
Step-by-step explanation:
We can write a function to model the situation.
The company is currently producing 275 units per day.
And it will increase its production by 50 units after each year.
Therefore, after y years, its production in units per day will be:
[tex]f(y)=275+50y[/tex]
Then 8 years from now, the company will be producing:
[tex]f(8)=275+50(8)=275+400=675\text{ units per day.}[/tex]
Our answer is D.
Choose the theorem that proves these triangles are congruent.
Answer:
SAS
Step-by-step explanation:
y = 2x+10 shows the price, y, for x hours of contractor labor. How much for 10 hours of labor?
Answer:
$30
Step-by-step explanation:
Plus in 10 into the equation
Price=2(10)+10
Price=20+10
Price=30
Find the measure of Arc MP.
Answer:
use this formula
x/230×2×pie×radius
PN=180
MPN=MN=31
MP=x
180=31+x
x=180-31
x=149
please help for 30 points!!
Answer:
AB = √17 4.1
GH = 4√2 5.7
Step-by-step explanation:
AB = 1²+4²=c²
1+16=c²
17=c²
√17=c
c=4.1
GH = 4²+4²=c²
16+16=c²
32=c²
√32=c
4√2=c
C=5.7
Help me with my homework, please
Answer:
150°
Step-by-step explanation:
We know each angle in a equilateral triangle is 60° and that of a rectangle is 90° . So ,
[tex]\implies \angle ABC = \angle DBC + \angle ABD \\\\\implies \angle ABC = 90^o + 60^o \\\\\implies \boxed{\boxed{ \angle ABC = 150^o }}[/tex]
what is the value of 3 in 728.36
The length of arc GJ is equivalent to 26π/3 units.
What is place value?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.
Given is the value of 3 in 728.36.
In 728.36, the digit 3 is at tenths place. The digit 6 is at units place. We can say that the digit 3 is at tenths place in the decimal number 728.36.
Therefore, the digit 3 is at tenths place in the decimal number 728.36.
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Find cos 0
16
20
12
A.
12
16
B.
12
20
C.
16
20
10
D.
Answer:
b cuz its cosine but i flipped the numbers so it can be 20 over 12 and gave me exactly 0
The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of cos(θ) in the given triangle is 0.6.
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm \sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\\cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\\tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
In a right angle, the cosine function of trigonometry is the ratio of the base of the triangle and the hypotenuse of the triangle.
For angle θ, the dimension of the triangle will be,
Perpendicular = 16
Base = 12
Hypotenuse = 20
Now, the measure of cos(θ) will be,
Cos(θ) = Base / Hypotenuse
= 12 / 20
= 6 / 10
= 0.6
Hence, the value of cos(θ) in the given triangle is 0.6.
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Ryan has constructed a multiple regression model and wants to test some assumptions of his regression model. In particular, he is testing for normality of the residuals. To do this Ryan should:
a. construct a normal quantile plot of the residuals and see if the result is an approximately upward sloping straight line
b. plot the residuals vs the predicted values of the response variable and check if the result is a random pattern
c. plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line
d. plot the residuals vs each explanatory variable to check if they are approximately random and form no clear pattern
e. construct a normal quantile plot of the residuals and see if the result is an approximately horizontal straight line
f. construct a normal quantile plot of the residuals and see if the result is an approximately downward sloping straight line
Answer:
plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line ( C )
Step-by-step explanation:
Ryan should plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line ( C )
The exact right action on what Ryan should do is not listed in the options listed below, hence I have just picked the closest on what Ryan should do if he is testing for normality of the residuals after constructing a multiple regression model
Normality of residuals test is performed to ensure that the residuals are properly/evenly distributed
Please help me!!!!!!!!