Answer:
1395
Step-by-step explanation:
Since the Hight of the rectangular prism is 7 we can subtract that from 17 to get 10 for the Hight of the pyramid
volume of rectangular prism is 15·9·7=945
volume of pyramid is (15·9·10)/3=450
add
450+945=1395
PLEASE HELP MARKING BRAINLIEST
image attached
Answer: x=7
Step-by-step explanation:
(3x+6)+(8x+7)=90
(3x+6)+(8x+7)+90=180
SOLVE THE SYSTEM OF EQUATIONS
YOU GET 7
find the area of shaded regions below. give your answer as a completely simplified exact values in terms of pi
The area of the shaded portion is 36pi cm² -72
What is a segments?A segment of a circle is part of the circle cut off by the chord. A chord is a straight line that touches a circle at two points. Do well also to understand that a chord is a straight line touching two points on the circumference of a circle.
A circle's area is calculated as pi*r², so a semicircle is pi*r² / 2, and a quarter circle is pi*r² / 4.
We have a quarter circle of radius 12, of which the area is pi*(12² / 4) = 36pi.
In conclusion, this means that the shaded area is 36pi - 72.
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pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
HELP DUE IN 2 HOURSSS
Answer:
1.05 miles per hour
Step-by-step explanation:
m = y2 - y1/ x2 - x1 (It doesn't matter which you choose to be y2 and y1, just make it consistent)
m = 4.2 - 2.1/ 4 - 2
m = 2.1 / 2
m = 1.05
\( \sqrt{48} \)
simplify \sqrt{48}
How do the graphs of the functions f(x) = (3/2)x and g(x)
The function g(x) = (2/3)ˣ is the graph of the function f(x) = (3/2)ˣ reflected over y-axis.
What is function?A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.
f = {(a, b)| for all a ∈ A, b ∈ B}.
Given, the function
f(x) = (3/2)ˣ
g(x) = (2/3)ˣ
We have to compare the graphs of the functions f(x) and g(x).
Exponential function is of the form: y = abˣ
Where a is the initial value and b is the growth factor.
a) If b > 1, then the function is an exponential growth function.
b) If 0 < b < 1, then the function is an exponential decay function.
f(x) = y = (3/2)ˣ
The function is an exponential growth function.
The rule of reflection over y-axis:
(x, y) → (-x, y)
Applying the rule, we get,
(3/2)ˣ = (3/2)⁻ˣ
= (2/3)ˣ
= g(x)
Therefore, g(x) is graph of f(x) reflected over y-axis
Hence, graph of the function f(x) = (3/2)ˣ reflected over y-axis is function g(x) = (2/3)ˣ .
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Please help with this word problem!!
Answer:
one hd=a=1.75, one hb=b=2
Step-by-step explanation:
if one hd(hotdog) & one hb(hamburger)=$3.75
one hd(hotdog) & three hb(hamburger)= $7.75
let hd=a and hb= b
by elimination:
a + b= 3.75......eq 1
a + 3b= 7.75.....eq 2
eliminate a and a by subtraction
-2b=-4
b=4/2=2
substitute 2 in place of b in any of the equation
a + b= 3.75
a + 2= 3.75
a= 3.75-2= 1.75
sin7x=cos2x can you solve this?
Answer:
I really hope this helps!!
A tank contains 9,000 L of brine with 12 kg of dissolved salt. Pure water enters the tank at a rate of 90 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) How much salt is in the tank after t minutes? y = kg (b) How much salt is in the tank after 20 minutes? (Round your answer to one decimal place.) y = kg
Therefore, After 20 minutes, there are approximately 11.9 kg (rounded to one decimal place) of salt in the tank.
To solve this problem, we need to consider the rate of change of the amount of salt in the tank over time.
(a) Let's denote the amount of salt in the tank after t minutes as y (in kg). We can set up a differential equation to represent the rate of change of salt:
dy/dt = (rate of salt in) - (rate of salt out)
The rate of salt in is given by the concentration of salt in the incoming water (0 kg/L) multiplied by the rate at which water enters the tank (90 L/min). Therefore, the rate of salt in is 0 kg/L * 90 L/min = 0 kg/min.
The rate of salt out is given by the concentration of salt in the tank (y kg/9000 L) multiplied by the rate at which water leaves the tank (90 L/min). Therefore, the rate of salt out is (y/9000) kg/min.
Setting up the differential equation:
dy/dt = 0 - (y/9000)
dy/dt + (1/9000)y = 0
This is a first-order linear homogeneous differential equation. We can solve it by separation of variables:
dy/y = -(1/9000)dt
Integrating both sides:
ln|y| = -(1/9000)t + C
Solving for y:
y = Ce^(-t/9000)
To find the particular solution, we need an initial condition. We know that at t = 0, y = 12 kg (the initial amount of salt in the tank). Substituting these values into the equation:
12 = Ce^(0/9000)
12 = Ce^0
12 = C
Therefore, the particular solution is:
y = 12e^(-t/9000)
(b) To find the amount of salt in the tank after 20 minutes, we substitute t = 20 into the particular solution:
y = 12e^(-20/9000)
y ≈ 11.8767 kg (rounded to one decimal place)
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solve for x
2 | 3x + 1 | -4 =6
Step-by-step:
2 | 3x + 1 | -4 = 6
2 | 3x + 1 | = 10
| 3x + 1 | = 5
| 3x + 1 | = ±5
Solve for both: 3x + 1 = -5 AND 3x + 1 = 5
3x + 1 = - 5
3x = - 6
x = -2
3x + 1 = 5
3x = 4
x = 4/3
x = -2, 4/3
Answer:
3
Step-by-step explanation
can someone please give me an answer for this
Answer:
it needed your to focus on school work , homework and work hard to make yourself feel ready
Eric has challenged himself to walk 24,000 steps in 4 days. If Eric walks the same number of steps each day, which function represents the number of steps Eric still needs to walk to reach his goal with respect to the number of days since he started his challenge?
A.
y = 8,000x − 24,000
B.
y = -8,000x + 24,000
C.
y = 6,000x − 24,000
D.
y = -6,000x + 24,000
Answer:
A ) 8,000 x - 24,000 in 3 day
Answer: The answer is D
Step-by-step explanation:
I will give you brainliest if you solve the math question
Answer:
y = 50, x = 74
Step-by-step explanation:
the total degrees must equal 180. In the left triangle, we are given 80 as in of them. 180-80=100 degrees left in the triangle there are two equal angles left, so we divide 100/2 and get 50, so y=50. In the triangle on the right, there are two equal angles of 53 degrees. So 53x2=106. 180-106= 74 degrees left. x is the only angle left, so x=72
what are these points someone plz help me
Answer:
#1 points (0,2) and (1,5)
#2points (-4,0) and (0,-4)
Step-by-step explanation:
Find the service area of a cylinder with a base diameter of 6ft and height of 4ft
The service area of the cylinder is 42\(\pi\) square fts.
What is cylinder?Two parallel bases joined by a curving surface make up the three-dimensional solid known as a cylinder.
Typically, the bases are shaped like circles. The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.
The uses of cylinder are-
A popular piece of scientific equipment used to determine the volume of a liquid is a graduated cylinder, sometimes referred to as a measuring cylinder or mixing cylinder. Its form is slender and cylindrical. The measured amount of liquid is shown by each marked line on the graduated cylinder.Total surface area of the cylinder formula:
It is the sum of the base surface area and the lateral surface area;
Total area = base area + lateral area , or
Total area = 2 π r² + (2 π r) h , or
Total area = 2 π r (r + h)
Calculation for the total area of the cylinder;
Base diameter is 6 ft
Radius is 6/2 = 3 ft
Height is 4 ft
Total area = 2\(\pi\)3(3 + 4)
= 6\(\pi\)×7
= 42\(\pi\)
Therefore, the total surface area of the cylinder is 42\(\pi\) square fts.
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Holding other things constant, what is the effect of (a) sample size and (b) variation in x on the variance of the OLS estimator?
(a) Sample size: Increasing the sample size decreases the variance of the OLS estimator. (b) Variation in X: Greater variation in X leads to higher variance in the OLS estimator.
(a) Sample Size: Increasing the sample size tends to reduce the variance of the Ordinary Least Squares (OLS) estimator. As the sample size grows larger, the estimator becomes more precise and better captures the true underlying relationship between the variables. With more observations, the OLS estimator tends to average out random errors, leading to a decrease in variance. However, if there are influential outliers or systematic biases present in the data, increasing the sample size may not necessarily result in a significant reduction in the variance.
(b) Variation in X: The variance of the OLS estimator is influenced by the variation in the independent variable (X). When there is greater variation in X, the OLS estimator tends to have higher variance. This occurs because a wider range of X values can lead to a wider range of predicted Y values, resulting in larger deviations from the true regression line. In contrast, if there is less variation in X, the OLS estimator will have lower variance as the predicted Y values will be more tightly clustered around the regression line. Therefore, an increase in the variation of X tends to increase the variance of the OLS estimator.
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The length of a rectangular
swimming pool is 36 ft. The
width is 18 ft. What is the
length of the diagonal of the
pool to the nearest foot?
a. 18 ft
b. 30 ft
c. 40 ft
d. 54 ft
Answer:
C. 40 ft
Step-by-step explanation:
First you need to set up the abc
a²+b²=C²
plug in the numbers
36²+18²= C²
you need to square both of the number than add them together
1296 + 324 = 1620
Than you need to square root the answer you just got
√1620
Which equals
40.24
But then round it to the nearest foot
So just 40
My three-digit code is $023$. Reckha can't choose a code that is the same as mine in two or more of the three digit-positions, nor that is the same as mine except for switching the positions of two digits (so $320$ and $203$, for example, are forbidden, but $302$ is fine). Reckha can otherwise choose any three-digit code where each digit is in the set $\{0, 1, 2, \dots, 9\}$. How many codes are available for Reckha
The answer is 966 codes.
It would probably be simplest to simply state the prohibited codes.
023 - narrators code
02x
0x3
x23
Here x is a number between 0 and 9, there are 10 of each, making a total of 30.
203
302
032
Consequently, there are 34 banned codes in all.
There are 103 = 1000 codes in all.
1000 - 34 = 966 codes are available.
What is narrators code?
The Code Narrator enables a minute-by-minute examination of what takes place during a code. There is a spot where observations can be recorded, and entering code for prescriptions and infusions is simple.The Code Narrator is one of the EPIC-specific applications used by the Rapid Response Team (RRT) RN. notes drugs, compressions, patient rhythms, infusions, and any other process that occurs during a code in place of traditional scribing.To learn more about Code Narrator visit:
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Factorise the following
\(4 {a}^{2} v {}^{5} - 18av {}^{2} \)
The factors of the given expression are 2av² and (2av³-9).
The given expression is 4a²v⁵-18av².
The factors are the polynomials which are multiplied to produce the original polynomial.
2av²(2av³-9)
Therefore, the factors of the given expression are 2av² and (2av³-9).
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The dollar value v (t) of a certain car model that is t years old is given by the following exponential function.
V (t) = 26,000 (0.84)^t
Find initial value of the car and the value after 11 years. Run your answers to the nearest dollar is necessary.
Initial value: $26,000
Value after 11 years: $_____
Answer:
$ 3820
Step-by-step explanation:
When the car is new, it is 0 year old. It means, t = 0
Initial value = 26,000 (0.84)^0 = 26,000(1)
Initial value = $ 26000
Similarly, when car is 11 year old, t = 11
=> 26000(0.84)¹¹ = 26000(0.14691)
≈ $ 3819.842
≈ $ 3820 (round to near ten)
please help im being timed 4 minutes each question i will give brainliest 6th grade math
Answer:
The answer is A I and II
Step-by-step explanation:
Two of the angles in a triangle measure 108° and 69°. What is the measure of the third angle?
Answer: 3 degrees
Step-by-step explanation:
a triangle has 180 degrees
if you add the current angles it would equal 177 degrees and subtract that by 180 and it would equal 3 degrees
Given p(x) = -4(x - 15)2 + 2, what is the value of p (10)?
i believe it’s 42 but we’ll see if im wrong.
Answer: 42
Step-by-step explanation:
Plug 10 in for x
-4(10-15)2+2
(-40+60)2+2
(20)2+2
40+2
p(10)=42
Find two consecutive positive even integers such that the square of the first decreased by 64 equals 3 times the second.
Answer:
10 and 12
Step-by-step explanation:
let the consecutive even integers be n and n + 2 , then
n² - 64 = 3(n + 2) ← distribute parenthesis
n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )
n² - 3n - 70 = 0 ← in standard form
(n - 10)(n + 7) = 0 ← in factored form
Equate each factor to zero and solve for n
n - 10 = 0 ⇒ n = 10
n + 7 = 0 ⇒ n = - 7
Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12
The 2 numbers are 10 and 12
Complete the table. In the row with X as the input write the rule as an algebraic expression for the output then complete the last row of the table using the rule. Express the values in your answers as decimals
The last two rows of the table should be completed as follows:
Input Output
8 22.80
10 28.50
What is algebraic expression?An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.
The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.
To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.
Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.
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There are 20 animals in the barn. There are chickens and sheep in the barn. If there are
a total of 62 legs, how many of each animal are there? *
Answer: Nope I was wrong
Find the distance from A to C
Answer:
7
Step-by-step explanation:
Answer:74
Step-by-step explanation:
four identical red balls and two identical black balls are placed in a box. one ball is randomly selected. without replacement, the second ball is selected. what is the probability that at least one of the balls is red.
The probability that atleast one ball is red is 14/15.
Given that:-
Number of red balls = 4
Number of black balls = 2
One ball is randomly selected, without replacement, the second ball is selected.
We have to find the probability that atleast one ball is red.
There are four ways in which this can happen:-
RR, BR, RB, BB
Where R stands for Red ball and,
B stands for Black ball.
We know that,
Probability that no ball is red + Probability that atleast one ball is red = 1
Hence, we can write,
Probability that atleast one ball is red = 1 - Probability that no ball is red
P(BB) = (2/6)*(1/5) = 1/15
Hence,
Probability that atleast one ball is red = 1 - (1/15) = 14/15
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(1 point) Find y as a function of t if 8y" + 27y = 0, = y(0) = 8, y'(0) = 6. y(t) = Note: This particular webWork problem can't handle complex numbers, so write your answer in terms of sines and cosines, rather than using e to a complex power.
Finally, using the initial conditions y(0) = 8 and y'(0) = 6, we can solve for the constants A and B to get
y(t) = (8/3)*cos((3/2)*sqrt(2)*t) + (16/3)*sin((3/2)*sqrt(2)*t).
To find y as a function of t, we first need to solve the differential equation 8y" + 27y = 0. We can do this by assuming a solution of the form y(t) = A*cos(wt) + B*sin(wt),
where A and B are constants and w is the angular frequency. We can then differentiate y(t) twice to find y'(t) and y''(t), and substitute these into the differential equation to get the equation 8(-w^2*A*cos(wt) - w^2*B*sin(wt)) + 27(A*cos(wt) + B*sin(wt)) = 0.
Simplifying this equation gives us the equation
(-8w^2 + 27)*A*cos(wt) + (-8w^2 + 27)*B*sin(wt) = 0.
Since this equation must hold for all t, we must have (-8w^2 + 27)*A = 0 and (-8w^2 + 27)*B = 0.
Solving for w gives us w = (3/2)*sqrt(2) and
w = -(3/2)*sqrt(2).
Plugging these values into our solution for y(t) gives us
y(t) = (8/3)*cos((3/2)*sqrt(2)*t) + (16/3)*sin((3/2)*sqrt(2)*t).
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What is the equation of the line that passes through the point (-5, 7)
and has a slope of –1/5?