Step-by-step explanation:
Volume of cylinder=πr²h=3.14 x 9 x 6=169.56 in³
Answer:
170
Step-by-step explanation:
v=πr²h
r²/radius=3 in
h/height=6 in
v=π3²6
3.14*3²*6=169.65
round 169.65=170
hope this helps :) have a nice day !!
if e represents the cost of a dozen eggs, then what does e divided by 12 represent
If e represents the cost of a dozen eggs, then e divided by 12 represents the cost per egg.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
As we know that a dozen contains 12 contents.
Therefore here we had the cost to buy 12 eggs.
Dividing by 12 we get the cost to buy one egg.
So e/12 would equal the cost of one or a single egg.
Hence, if e represents the cost of a dozen eggs, then e divided by 12 represents the cost per egg.
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Hello I need help with a problem ,8x^2-9x-3It says factor completely
Not factorable
Explanationgiven
\(8x^2-9x-3\)Step 1
given
\(8x^2-9x-3\)use the quadratic formuña
it says
\(\begin{gathered} for \\ ax^2+bx+c=0 \\ the\text{ solution for x is} \\ x=\frac{-b\pm\sqrt{b^2-ac}}{2a} \end{gathered}\)so
If Δ=0 then ax2+bx+c is a perfect square trinomial, expressible as
(√ax+√c)2 or as (√ax−√c)2 .
If Δ<0 then ax2+bx+c has two distinct Complex zeros and is not factorable over the reals. It is factorable if you allow Complex coefficients
\(\begin{gathered} \Delta=b^2-4ac \\ \Delta=(-9)^2-4(8)(-3) \\ \Delta=81+96 \\ \Delta=177 \end{gathered}\)then, as
\(\Delta>0\)the expression has two distinct Real zeros and is factorable over the Reals
so,
the expression has real solution ,so
Not factorable
I hope this helps you
One year, the population of a city was 94,000. Several years later it was
109,980. Find the percent increase.
Answer:
17%
Step-by-step explanation:
Formula to be used:
Percent of increase = Final number ÷ Original number x 100
Substitute
109,980 ÷ 94,000 = 1.17
Multiply
1.17 x 100 = 117%
Since 100% was 94,000, and the final value is 117% of the original value, then subtract 100 from 117, to get the percent of increase.
117 - 100 = 17
Total Increase 17%
at a dinner party, guests were served dishes of soup, rice, and tofu. every dish of soup was shared by two guests, every dish of rice was shared by three guests, and every dish of tofu was shared by four guests. every guest ate from exactly one dish of soup, one dish of rice, and one dish of tofu. if the total number of dishes was 65, then how many guests were there?
In Korea, tofu is typically offered during breakfast.
Describe breakfast.
The first meal of the day, known as breakfast, is often had in the morning. After an overnight fast, it is a crucial meal that gives the body and brain fuel. Protein and carbs are generally found in breakfast foods such eggs, bacon, oatmeal, toast, pancakes, yoghurt, cereal, and fruits. A nutritious breakfast may boost energy levels, jump-start the metabolism, and enhance focus and memory. A nutritious breakfast can also aid in lowering mid-day snacking and preventing overeating in the evening. Make sure to incorporate breakfast in your daily schedule since eating breakfast is crucial to living a healthy lifestyle.
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when you roll a pair of dice, what is the probability that your roll an even number or a 3?
a. 16.66%
b. 2/3
c. 1/2
d. 0.66?
Answer:
yv1dzybazu ai zai is zie
Step-by-step explanation:
side zue auebaiw ai was wiz
i need help asap can anyone do this?
Step-by-step explanation:
since they are similar...
DF= 2.68
EF= 2.01
if a small segment of the population is sampled then an estimate will be less precise.group startstrue or false
True. If a small segment of the population is sampled, the resulting estimate will generally be less precise compared to sampling a larger portion of the population.
Precision refers to the degree of variation or uncertainty associated with the estimate.
Sampling a smaller segment of the population reduces the amount of information available to estimate the population parameter accurately. The estimate obtained from a small sample may be more susceptible to sampling variability, meaning it may deviate more from the true population parameter due to random sampling fluctuations.On the other hand, sampling a larger portion of the population provides more representative information, leading to a more precise estimate. A larger sample size reduces the impact of random variability and provides a more reliable estimate of the population parameter.To increase the precision of an estimate, it is generally recommended to have a larger sample size, ensuring that the sample is representative of the population and captures its variability adequately.
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The sale price of last year’s hottest game is 30% off the retail price. The game sold last year for $86.00. What is the sale price? A. $25.80 B. $60.20 C. $83.42 D. $111.80
The selling price of the game is (d) $111.80
How to determine the sales price?The given parameters are:
Discount = 30%
Selling price = $86.00
Since the item is sold less, then the original price would be more.
So, we have:
Price = Selling price * (1 + Discount)
This gives
Price = $86.00 * (1 + 30%)
Evaluate
Price = $111.80
Hence, the selling price is (d) $111.80
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luis has a pyramid shaped plant pot. it has a square base with a side length of 36 cm 36 cm36, start text, space, c, m, end text, and the height of the pot is 36 cm 36 cm36, start text, space, c, m, end text. s an upside down square-based pyramid with a base length of thirty-six centimeters and a height of thirty-six centimeters. an upside down square-based pyramid with a base length of thirty-six centimeters and a height of thirty-six centimeters. luis wants to fill the pot with soil so that the soil takes up 75 % 75u, percent of the pot's volume. how far up the pot will the soil reach? round to the nearest tenth.
The soil will reach about 27 cm up the pot when it fills 75% of the pot's volume.
To determine how far up the pot the soil will reach, we need to first find the volume of the pot, then find 75% of that volume, and finally calculate the height of soil in the pot.
Step 1: Calculate the volume of the pot
The volume of a pyramid can be calculated using the formula V = (1/3) * B * h,
where V is the volume, B is the area of the base, and h is the height.
Since the base is a square with a side length of 36 cm, the area of the base (B) is 36 cm * 36 cm = 1296 cm².
Now, plug the values into the formula:
V = (1/3) * 1296 cm² * 36 cm = 15552 cm³
Step 2: Calculate 75% of the pot's volume
75% of the pot's volume can be calculated as:
Soil volume = 15552 cm³ * 0.75 = 11664 cm³
Step 3: Calculate the height of the soil in the pot
To find the height of the soil, we can use the same formula for the volume of the pyramid, but we will solve for the height\((h_soil)\) this time:
11664 cm³ = (1/3) * 1296 cm² * \(h_soil\)
Solve for h_soil:
\(h_soil\) = (11664 cm³ * 3) / 1296 cm² ≈ 27 cm.
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If 32 % of a is 1.12 then what is the value of a?
Answer:
4.5 is the value of A
Step-by-step explanation:
do it doing part/whole and cross crossing :)
32/100 because it’s a percentage and 1.12/x. 1.12 times 100 to get 112, and then 32 times x = 32x. your equation right now is 32x = 112, bur we want to get rid of that x, so we are going to divide 112/32 to get the whole of 3.5 for the value of A.
Ab is tangent to circle o at a. the diagram is not drawn to scale. if ao =30 and bc = 48 what is ab?
a) 84
b) 78
c) 76
d) 72
Answer:
91.19
Step-by-step explanation:
From the given diagram;
BO = 2 BC
BO = 2(48)
BO = 96
To get AB, we will use the pythagoras theroem;
BO² = AB² + AO²
96² = AB² + 30²
9216 = AB² + 900
AB² = 9216 - 900
AB² = 8,316
AB = √8,316
AB = 91.19
Hence the length of AB is 91.19
Someone Plz help me
Using the tables to answer the question, the correct option is D.
Only table B represents a function
A relation/table will represent a function if each value of x is attached to a unique value of y.
That is, no value of x must be mapped to more than one value of y.
By considering the tables represented
Set A = {(-5, 2), (-8, 5), (-5, 8)}
As clearly shown above, when x = -5, y = 2 and 8. This means that there are more than 1 value of y for a single value of x, therefore, table A does not represent a function.
Set B = {(-5, 2), (-8, 5), (-11, 2)}
As shown above, all values of x have different values of y. Therefore, table B represents a function.
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TIME SERIES models attempt to predict the future by using historical data.
a. true b. false
The given statement is true because Time series models are statistical models that analyze and predict future values based on patterns and trends observed in historical data. Option A
The underlying assumption of time series analysis is that the future values of a variable can be predicted based on its past behavior. By examining the historical data, time series models identify patterns, trends, and seasonal variations that can help forecast future values.
There are various types of time series models, including autoregressive integrated moving average (ARIMA), exponential smoothing models, and seasonal decomposition of time series (STL). These models use different mathematical techniques to capture and analyze different aspects of the time series data.
The main goal of time series analysis is to make accurate predictions or forecasts of future values. By leveraging the patterns and trends observed in the historical data, these models provide insights into potential future outcomes.
Time series models are widely used in fields such as economics, finance, meteorology, stock market analysis, and demand forecasting, among others.
Option A
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The sum of the ages of a father and his son is 40 years.If they both live on till the son becomes as old as the father is now the sum of their ages will be 96 years.Find their present ages.
The age of the son and father obtained after solving the equation will be equal to 6 years and 34 years.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Let the age of the father is f and the age of the son be s.
As per the given statement in the question,
The sum of the ages of a father and his son is 40 years.
f + s = 40 (i) and,
f + s + 2(f -s) = 96
3f - s = 96 (ii)
Add equations (i) and (ii)
4f = 136
f = 136/4
f = 34 years
Put f = 34 in equation (i)
f + s = 40
34 + s = 40
s = 40 - 34
s = 6 years.
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Whitney deposited $4,000.00 into a new savings account that earns interest compounded monthly. After 9 years, the balance in the account was $8,850.00. What was the interest rate on the account?
The interest rate on the account is 9.79%.
To determine the interest rate on the account, we can use the formula for compound interest:
A = P(1 + r/n\()^{(nt)\)
In this case, we have:
P = $4,000.00
A = $8,850.00
t = 9 years
n = 12 (compounded monthly)
Substituting the values into the formula, we have:
$8,850.00 = $4,000.00(1 + r/12)^(12*9)
Divide both sides by $4,000.00:
8,850/4,000 = (1 + r/12)^(12*9)
2.2125 = (1 + r/12)^(108)
Take the logarithm (base 10) of both sides to remove the exponent:
log(2.2125) = log[(1 + r/12\()^{(108)\)]
log(2.2125) = 108 x log(1 + r/12)
log(2.2125)/108 = log(1 + r/12)
0.008147 = log(1 + r/12)
1\(0^{(0.008147)\) = 1 + r/12
1\(0^{(0.008147)\) - 1 = r/12
12 (1\(0^{(0.008147)\) ) - 1) = r
r ≈ 0.0979
r ≈ 9.79%
Therefore, the interest rate on the account is 9.79%.
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How many solutions does the equation 5x + 3x − 4 = 10 have?
a
Zero
b
One
c
Two
d
Infinitely many
Answer:
1.75
Step-by-step explanation:
5x + 3x - 4 = 10
Add Four To Both Sides To Begin Simplifying.
5x + 3x = 14
Now, Combine Like Terms.
8x = 14
Divide:
8x/8 = 1X = X
14/8
X = 14/8
14/8 = 1.75
X = 1.75
Check:
(5 * 1.75) + (3*1.75) - 4 = 10
8.75 + 5.25 - 4 = 10
14 - 4 = 10
10 = 10. This Is True, So X Does Equal 1.75
Answer:
The answer should be B; one answer
Step-by-step explanation:
After solving this equation, I came up with the answer 0.75, therefore there is only one answer.
(1 point) if you have 140 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
The largest area that can be enclose in straight wall is 2450 m².
What is meant by the largest area?Having to maximize or decrease a geometric figure's measurements, area, or volume is a special example of a geometry word problem.Let 'x' be the length of rectangle.
Let 'y' be the width rectangle.
Perimeter = 140 meters
2x + y = 140
y = 140 - 2x
Area = xy
Put the value of y in area.
Area = x(-2x + 140)
Area = -2x² + 140x
Differentiating the area with respect to x.
dA/dx = -4x + 140
Put dA/dx = 0 to get the critical point.
-4x + 140 = 0
x = 140/4
x = 35
Largest area at x = 35.
y = 140 - 2x
y = 140 - 2×35
y = 70
Area = xy
Area = 70×35
Area = 2450 m²
Thus, the largest area that can be enclose in straight wall is 2450 m².
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what is 5x-9+2-4=9.4
Answer:
x=5.1
Step-by-step explanation:
5x-9+2-4=9.4
5x=9.4+4-2+9
5x=20.4
x=5.1
Un padre está usando una manguera de jardín para llenar una pequeña piscina inflable para su hijo pequeño. La piscina tiene una capacidad de 90 galones. Apaga el agua después de 5 minutos, pero deja la manguera en la piscina durante otros 3 minutos antes de guardarla. En esta situación, la relación entre los galones de agua en la piscina y los 8 minutos desde que el padre comenzó a llenar la piscina puede verse como una función. 1. En esa función, ¿qué variable es independiente? ¿Cuál es dependiente?
Answer:
Water is being collected at the rate of 11.25 gallon per minute.
Step-by-step explanation:
In this function the filling of water in the pool is dependent on the number of minutes. The more time the tap is opened the greater amount of water can be accumulated in the pool .
So time is independent and water is the dependent variable.
The function can be represented by
f(x)= xt where t is the time in minutes
90 gallons= x * 8 minutes
or x= 90/8 = 11.25 gallon per minute.
So water is being collected at the rate of 11.25 gallon per minute.
Spanish
En esta función, el llenado de agua de la piscina depende de la cantidad de minutos. Cuanto más tiempo se abre el grifo, mayor cantidad de agua se puede acumular en la piscina.
Entonces el tiempo es independiente y el agua es la variable dependiente.
La función se puede representar por
F (x) = xt donde t es el tiempo en minutos
90 galones = x * 8 minutos
o x = 90/8 = 11,25 galones por minuto.
Entonces, el agua se recolecta a una velocidad de 11.25 galones por minuto.
Type the correct answer in the box. Use numerals instead of words. If necessary, use/ for the fraction bar.
Given the figure, find the total area of the shaded region.
D
8-
6-
4-
2-
O
-2-
o
S
The area of the shaded region is
B
R
8
с
square units
The value of the total area of the shaded region are,
⇒ 42 units²
We have to given that;
Sides of rectangle are,
AB = 9
BC = 6
Hence, The area of rectangle is,
⇒ 9 x 6
⇒ 54 units²
And, Area of triangle is,
A = 1/2 × 4 × 6
A = 12 units²
Thus, The value of the total area of the shaded region are,
⇒ 54 - 12
⇒ 42 units²
So, The value of the total area of the shaded region are,
⇒ 42 units²
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if r(t) = (4t, 3tยฒ, 4tยณ) , find r'(t), T(1), r''(t), and r'(t) ร r ''(t).
The value of the expression is r'(t) = (4, 6t, 12t²), T(1) = (2/7, 3/7, 6/7), r''(t) = (0, 6, 24t), r'(t) ร r''(t) = 144t³.
We are given the vector-valued function r(t) = (4t, 3t², 4t³).
To find r'(t), we need to take the derivative of each component of r(t) with respect to t:
r'(t) = (d/dt)(4t), (d/dt)(3t²), (d/dt)(4t³)
r'(t) = (4, 6t, 12t²)
To find T(1), we need to evaluate r'(t) at t = 1 and then divide by the magnitude of r'(1):
r'(1) = (4, 6(1), 12(1)²) = (4, 6, 12)
| r'(1) | = sqrt(4² + 6² + 12²) = sqrt(196) = 14
T(1) = r'(1) / | r'(1) | = (4/14, 6/14, 12/14) = (2/7, 3/7, 6/7)
To find r''(t), we need to take the derivative of each component of r'(t) with respect to t:
r''(t) = (d/dt)(4), (d/dt)(6t), (d/dt)(12t²)
r''(t) = (0, 6, 24t)
Finally, to find r'(t) ร r''(t), we need to take the dot product of r'(t) and r''(t):
r'(t) ร r''(t) = (4, 6t, 12t²) ร (0, 6, 24t)
r'(t) ร r''(t) = 0 + 6t(6t) + 12t²(24t)
r'(t) ร r''(t) = 144t³
Therefore, we have:
r'(t) = (4, 6t, 12t²)
T(1) = (2/7, 3/7, 6/7)
r''(t) = (0, 6, 24t)
r'(t) ร r''(t) = 144t³
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I need help guys. I don't understand this. I tried to work this out but what i got didn't have an option for it. Can you leave all the notes. Anybody????????????
Answer:
7.5 i belive
Step-by-step explanation:
area= lenghthx width thats the formula 3mm converted is 3 cm 3cmx2.5=7.5
Helpppp I will give brainliest
Thanks
Answer:
=−2x+688
Step-by-step explanation:
The third
Graph the image of △WXY after the following sequence of transformations: Reflection across the y-axis Rotation 180° counterclockwise around the origin
The old coordinates are;
W (3, 14)
Y (12, 14)
X (6, 11)
While the new coordinates for the reflected triangle are:
W'' (3, -14)
X'' (6, -11)
Y'' (12, -14).
See the attached image.
What is reflection?A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. The line of reflection is formed when an image reflects through a line.
A figure is said to mirror another figure when every point in one figure is equidistant from every point in another figure.
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evaluate the iterated integral by converting to polar coordinates. 1 0 2 − y2 9(x + y) dx dy y
In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.
To evaluate the given iterated integral ∫∫R (1 - y²)/(9(x + y)) dA, where R is the region in the xy-plane bounded by the curves x = 0, y = 1, and 9(x + y) = 2, we can convert it to polar coordinates for easier computation.
In polar coordinates, we have x = rcos(θ) and y = rsin(θ), where r represents the distance from the origin and θ is the angle measured counter clockwise from the positive x-axis.
The integral becomes ∫∫R (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) r dr dθ. In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.
In the given integral, we substitute x and y with their respective polar coordinate representations. The numerator becomes 1 - r²sin²(θ), and the denominator becomes 9(rcos(θ) + rsin(θ)). Multiplying the numerator and denominator by r, we have (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) = (1 - r²sin²(θ))/(9r(cos(θ) + sin(θ))). We then rewrite the double integral as two separate integrals: the outer integral with respect to θ and the inner integral with respect to r. The limits of integration for θ are 0 to π/2, while the limits for r are determined by the curve 0 = (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)).
We can simplify this curve to 2cos(θ) - 9sin(θ) = 9, which represents an ellipse in the xy-plane. The limits of r correspond to the radial distance within the ellipse for each value of θ. By evaluating the double integral using these limits, we can determine the result of the given iterated integral.
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Could someone please help? They don’t need to be solved I just need help with the translating.
Answer:
I won't solve i'll translate like you asked
Step-by-step explanation:
13) x - 5 = 21
14) 12 × y = 48
15) b + 10 = 13
If you want I can solve.
HOPE THIS HELPED
Could someone help me out please
Answer:
The answer is
GCF=8
56-48=8*(7-6)
After a dilation with a scale factor of 2 about the origin, ∆ABC maps onto ∆DEF. Which of the following statements is true?
2 · AB = DF
m∠B = 2 · m∠E
segment CA ≅ segment FD
line segment BC over line segment EF is equal to line segment CA over line segment FD (BC/EF = CA/FD)
Given statement solution is :- 2 · AB = DF: This statement is true. In a dilation with a scale factor of 2, all lengths are multiplied by 2, the length of segment AB in triangle ABC would be doubled to obtain segment DF in triangle DEF.
m∠B = 2 · m∠E: This statement is not necessarily true. Dilations do not affect angle measurements.
After a dilation with a scale factor of 2 about the origin, the following statements are true:
2 · AB = DF: This statement is true. In a dilation with a scale factor of 2, all lengths are multiplied by 2. Therefore, the length of segment AB in triangle ABC would be doubled to obtain segment DF in triangle DEF.
m∠B = 2 · m∠E: This statement is not necessarily true. Dilations do not affect angle measurements. The angles in triangle ABC would retain their measures in triangle DEF after the dilation. So, m∠B would not necessarily be equal to 2 · m∠E.
segment CA ≅ segment FD: This statement is true. In a dilation, corresponding sides of the pre-image and image triangles are proportional. Since the scale factor is 2, the length of segment CA in triangle ABC would be doubled to obtain segment FD in triangle DEF.
BC/EF = CA/FD: This statement is not necessarily true. The ratio of corresponding side lengths in a dilation would be equal, but the given statement involves ratios of line segments. Without additional information or specific proportions, we cannot determine if this ratio is true.
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SOMEONE PLSLPLSSLSLS HELP ITS JUST 3 QUESTIONS BRO PLEASE ITS SO CONFUSING ILL BRAINLIST.
The length and width of a rectangle is 3x + 4 and x + 3 respectively.
a) write the perimeter of the rectangle in simplified form.
b) find the perimeter of the rectangle if x = 5.
c) the area of a rectangle is given by the formula area = length x width. Find the area of this rectangle when x = 4.
Step-by-step explanation:
a) Perimeter is equal to 2w + 2L
2(3x + 4) + 2(x + 3)
6x + 8 + 2x + 6
8x + 14
b) Put 5 in x's place
8×5 + 14
40 + 14
54
c) Area = (3x + 4) * (x + 3)
Put 4 in x's place
(3×4 + 4) * (4 + 3)
12 + 4 * 7
16 * 7
112
. What is the area, in square inches, of a
right triangle with sides of length 9 inches, 12 inches, and 15 inches?
of a right tringle with sides of length 9 inches
Answer:
Step-by-step explanation: