Answer:
Step-by-step explanation:
What is the area of the trapezoid 86in 112in 148in 184in
Answer:
? me no get it
Step-by-step explanation:
solve the inequality and graph the solution.
4 |3x + 5| ≤ 16
The solution to the inequality is -3 ≤ x ≤ -1/3
Solving inequality with modulusGiven the inequality:
4|3x+5| ≤ 16
Let us simplify it by dividing both sides by 4 to get:
|3x+5| ≤ 4
Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:
First: 3x+5 ≥ 0
In this case, the inequality simplifies to:
3x+5 ≤ 4
Subtracting 5 from both sides, we get:
3x ≤ -1
Dividing by 3 (which is positive) gives:
x ≤ -1/3
Second: 3x+5 < 0
In this case, the inequality simplifies to:
-3x-5 ≤ 4
Adding 5 to both sides, we get:
-3x ≤ 9
Dividing by -3 (which is negative and requires us to flip the inequality), gives:
x ≥ -3
Therefore, the solution to the inequality is:
-3 ≤ x ≤ -1/3
The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.
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Help please need answers today !!!!!!!
A) The continuous rate of growth of this bacterium population is 45 percent.
B) The initial population of the culture at t=0 is 930.
C) The bacteria that will culture at time t=5 is 8823.59.
What is meant by continuous rate of growth?A = Pert, where "A" is the ending amount, "P" is the starting amount (principal in the case of money), "r" is the growth or decay rate (expressed as a decimal), and "t" is the time (in whichever unit was used on the growth/decay rate).
Given,
n(t)= 930\(e^{0.45t}\)
Also given that t is measured in hours.
We know that the equation for continual growth is ,
A= P\(e^{rt}\)
Where A is the final amount, P is the starting amount, and r is the growth or decay rate.
A) From the above equation,
r=0.45
The continuous rate of growth of this bacterium population is 45 percent.
B) At t=0,
n(0)= 930\(e^{0.45(0)}\)
n(0)=930
The initial population of the culture at t=0 is 930.
C) At t=5,
n(5)= 930\(e^{0.45(5)}\)
n(5)= 8823.59
The bacteria that will culture at time t=5 is 8823.59.
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Question Which is closest to the surface area of the figure below? 1463.8 m squared 578.1 m squared 923.2 m squared 3692.6 m2
The closest option to the cone area is 923.2 m².
What is a cone?A cone is a shape formed from a series of line segments or lines that connect a common point, called a vertex or vertex, to all points on the base of a circle that do not contain vertices. The distance from the apex of the cone to the base is called the height of the cone.
To solve this problem, we need to find the surface of the cone. Formula for the surface area of cone:
A = \(\pi\)r² + \(\pi\)rℓ
where r is the radius of the base, ℓ is the height of the depression, and π is a constant of approximately 3.14159.
First, we find the radius of the base. Since the bottom line of the cone is listed as 18 feet and we know the radius is 14 feet, we can use the Pythagorean theorem to find the height of the cone.
h² = ℓ² - r²
h² = 19.3² - 14²
h ≈ 11.48 feet
Now we can compute the surface.
A = \(\pi\)(14)² + \(\pi\)(14)(19.3)
A ≈ 923.2 square feet
So the closest option to the cone area is 923.2 m².
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5
Σ2n + 1 1
N=1
Please help!
Answer:
The series is convergent and: ∞∑n=12nn!=e2−1. Explanation: The ratio test states that a sufficient condition for a series: ∞∑n=0an.
Step-by-step explanation:
hope i helped
3. Amoud University has 400 students whom 150 are girls, the ratio of girls to boys is?
If a room has the following dimensions: a width of 16ft, a length of 13ft, and a height of 16ft, and a ball has a diameter of 16 inches. How many balls fit inside the room?
Answer:
https://www.sensorsone.com/length-width-and-height-to-volume-calculator/
Step-by-step explanation:
one less than twice some number
Answer:
Step-by-step explanation:
2x - 1
Now, let's assume x to be 5.
Then, 2x -1 evaluates to be 2(5) - 1 = 9
Now, this is one way in which I solved this math.
You can assume x as some other value and get some other answer.
Using front-end estimation, find a reasonable estimate of:
719 x 26
Answer:
18684 I believe
Step-by-step explanation:
What does the statement below mean?
Range: {-7 < y < 12}
The statement -7 < y < 12 meant y is greater than -7 and less than 12.
How to interpret inequality?{-7 < y < 12}
This is a compound inequality.
A compound inequality is a type of inequality which combones two or more simple inequality.
-7 < y < 12
This can be broken down into two parts;
-7 < y (minus 7 less than y)y < 12 (y is less than 12This can also be written together as y is greater than -7 and less than 12.
This means y is between the values that are greater than -7 but less than 12
So,
y could be -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
Therefore, y can be said to be within the range of values between -6 and 11
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After each charging, a battery is able to hold only 96% of the charge from the previous charging. The battery was used for 10 hours on its first charge before it had to be recharged. What is the total number of hours the battery can be used over its lifetime?
Answer:
250 hours
Step-by-step explanation:
The first charge is 10 hours, the second charge is 10(0.96) hours, and so on -- the total of these two is 10+10(0.96) and we need to keep adding our battery usage up until there is no more battery. The third one is 10(0.96)*(0.96), or 10(0.96)².
This can be seen as a geometric series, with 10 as the first tern, or a, and 0.96 as the common ratio, or r. The sum of this is
\(a\frac{1-r^{n}}{1-r}\), with n being the number of terms. Since 0.96 to the power of n never actually reaches 0 no matter how high n goes if the number is not infinite, we can say n is infinity. As r^n is really close to 0 when n equals infinity (so close that, for our purposes in this equation, we can just assume it's 0), our equation is then
\(10\frac{1}{0.04} =10*25=250\)
Calculate the rate of change for the following data
What is the greatest difference possible difference of two decimals to the hundredths place that are between 0 and 1?
Answer:
Step-by-step explanation:
The greatest difference possible is 0.4
The decimal 0.4 is equivalent to 410 , so 0.4 is located between 0 and 1 . On a number line, divide the interval between 0 and 1 into 10 equal parts and place marks to separate the parts.
The greatest difference possible difference of two decimals to the hundredths place that are between 0 and 1 is 0.99
For us to get the difference possible difference, we will take the difference between the highest values and the lowest values between 1 and 10
Greatest values = 0.99999999999
Possible least value = 0.0000000001
Taking the difference:
Difference = 0.99999999999 - 0.0000000001
Difference = 0.9999999998
Convert to the nearest hundredth place
0.9999999998 to the nearest hundredth is 1.00. Since the value must be between 0 and 1, the required value will be 0.99
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Find the value that makes each equation true.
A. 110%n=11 n=
B.
(328 x 128) x k = 328 x (82 x 128)
K=
Answer:
A. \(n=100\)
B. \(k=0\)
Step-by-step explanation:
A. The equation "110% n = 11" can be solved as follows:
110% n = 11
To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).
(110% n) / 110% = 11 / 110%
n = 11 / 0.110
n = 100
So, the solution for n in the equation "110% n = 11" is n = 100.
B. The given equation is:
(328 x 128) x k = 328 x (82 x 128) x k
To solve for k, we can simplify the equation using the properties of multiplication.
Step 1: Perform the multiplications inside the parentheses:
41984 x k = 328 x 10576 x k
Step 2: Rearrange the equation by applying the associative property of multiplication:
41984 x k = 328 x (10576 x k)
Step 3: Divide both sides of the equation by 328:
(41984 x k) / 328 = 10576 x k
Step 4: Cancel out the common factor of k on the left-hand side:
(41984 / 328) x k = 10576 x k
Step 5: Simplify the left-hand side:
128 x k = 10576 x k
Step 6: Subtract 10576 x k from both sides of the equation to isolate k:
128 x k - 10576 x k = 0
Step 7: Factor out k on the left-hand side:
k x (128 - 10576) = 0
Step 8: Simplify further:
k x (-10448) = 0
Step 9: Divide both sides of the equation by (-10448):
k = 0
So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.
there are 64 hamburgers and 52 hot dogs at the picnic. what is the ratio of number of hamburgers to the number of hot dogs? and what is the ratio of the number of hamburgers to the number of lunch items?
any ratios can be in the form of a/b they are also denoted as a:b
here a is hamburgers =64
b is hot dogs =52
so it can be expressed as 64:52
they can simplified as
32:26
again,
16:13
so the final ratio will be 16:13
The slope of the line whose equation is 2x + 5y + 1 = 0 is
0-2/5
05/2
0-1/5
Answer:
0-2/5
I think this is it ;-;
The probability that an event will occur is 9/10. Which of these best describes the likelihood of the event occurring?
Answer:
Likely
Step-by-step explanation:
The odds are in favor of it, but it hasn't been proven.
If a three-digit number is divided by 5 or by 6, remainder is 1 in each case. What is the least such three-digit number?
Answer:
The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.
Step-by-step explanation:
This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.
Find the area of the given figure
Answer:
the answer for this question is 28.
Simplify the ratio 48:30.Please help me
Answer:
don't know SORRY but I will try it
48 : 30 = 24 : 15
= 8 : 5
Please answer both question above and below
A trapezoid has bases that measure 9 cm and 5 cm. The height of the figure is 4 cm.
What is the area of the trapezoid?
28 cm
36 cm
45 cm
90 cm
Answer:
Step-by-step explanation:
Could u attach a clear image??
a triangle is shown drag graphs to the table to ahow the image of the triangle after it is reflected over the x-axis, the y-axis, or the line y = x.
The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.
How to reflect the triangle based on the transformation rule?By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (x, -y)
(1, -3) → (1, -(-3)) = (1, 3)
(3, -2) → (3, -(-2)) = (3, 2)
(4, -5) → (4, -(-5)) = (4, 5)
By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (-x, y)
(1, -3) → (-1, -3)
(3, -2) → (-3, -2)
(4, -5) → (-4, -5)
By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (y, x)
(1, -3) → (-3, 1)
(3, -2) → (-2, 3)
(4, -5) → (-5, 4)
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Find a and b using the factor theorem.
\(f(x)=x^3+ax^2+bx-12\) has factor \((x-1), (x+1)\)
The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.
To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.
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A professor of statistics wants to test that the average amount of money a typical college student spends per day during spring break is over $70. Based upon previous research, the population standard deviation is estimated to be $17.32. The professor surveys 35 students and finds that the mean spending is $72.43. How would you calculate the p-value for this test
Answer it is 456y5445t6y5432
Step-by-step explanation:
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State the slope for the equation.
y=5x+8
Enter you answer in the box.
Slope: m=
Answer:
Step-by-step explanation:
The y-intercept of the equation is -8.
You can test this by making X = 0 and solving algebraically. Similarly, if you make y = 0, you can solve the X value. This means X = 8/5
Co-ordinates (8/5, -8)
The distances (in yards) for nine holes of a golf course are listed.
336 393 408 522 147 504 177 375 360
(a) Find the mean and the median of the data.
(b) Convert the distances to feet. Then rework part (a).
(c) Compare the measures you found in part (b) with those found in part (a). What do you notice?
(d) Use your results from part (c) to explain how to quickly find the mean and the median of the original data set when the distances are converted to inches.
Answer:
A.) 358; 375
B.) 1074 ; 1125
C.) Both the mean and median values in feets could be obtained by just multiplying the values in yards by 3
D.) If we have our median and mean of thee original dataset in inches, we just divide the values by 36 to get our mean and median values in yard.
Step-by-step explanation:
Given the data (in yards)
Rearranged data : x (in yards) :
441, 531, 1008, 1080, 1125, 1179, 1224, 1512, 1566
Mean, m : Σx/n
ΣX = 3222 ; n = sample size, n = 9
m = 3222 / 9
m = 358
Median :
0.5(n +1) th term
0.5(9 + 1)th term
0.5(10) = 5th term = 375
Converting the data to feets :
147, 177, 336, 360, 375, 393, 408, 504, 522
1 yard = 3 feets
In Feets:
441, 531, 1008, 1080, 1125, 1179, 1224, 1512, 1566
Mean, m : Σx/n
ΣX = 9666 ; n = sample size, n = 9
m = 9666 / 9
m = 1074
Median :
0.5(n +1) th term
0.5(9 + 1)th term
0.5(10) = 5th term = 1125
C) Both the mean and median values in feets could be obtained by just multiplying the values in yards by 3
D.) since 1 yard = 36 inches
If we have our median and mean of thee original dataset in inches, we just divide the values by 36 to get our mean and median values in yard.
-mZ2 = 30. Find m24.
Pls help me I give pick BRAINLIEST!!
Answer:
24
Step-by-step explanation:
56/7=8
8x3=24
PLZZZZZZZZZZZZ HURRRRYYYY THIS IS ALL MY POINTS :( Each year for the family picnic, Mr. Linden makes his famous "fire-breathing chili". The recipe requires a ratio of 1 ounce of chili paste for every 2.75 pounds of meat. How many ounces of chili paste will Mr. Linden need for 11 pounds of meat?
Answer:
4
Step-by-step explanation:
11/2.75= 4
1/x=4
please help meee
here is the picture
Answer:
f(-2) = 46
f(-1) = 17
f(0) = 2
f(1) = 1
f(2) = 14
Step-by-step explanation:
F(-2) = 46
F(-1)= 17
F(0)= 2
F(1)= 1
F(2)= 14