Answer:
Domain: (-∞, ∞) or All Real Numbers
Range: (0, ∞)
Asymptote: y = 0
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
Step-by-step explanation:
The domain is talking about the x values, so where is x defined on this graph? That would be from -∞ to ∞, since the graph goes infinitely in both directions.
The range is from 0 to ∞. This where all values of y are defined.
An asymptote is where the graph cannot cross a certain point/invisible line. A y = 0, this is the case because it is infinitely approaching zero, without actually crossing. At first, I thought that x = 2 would also be an asymptote, but it is not, since it is at more of an angle, and if you graphed it further, you could see that it passes through 2.
The last two questions are somewhat easy. It is basically combining the domain and range. However, I like to label the graph the picture attached to help even more.
As x ⇒ -∞, f(x) ⇒ 0
As x ⇒ ∞, f(x) ⇒ ∞
While on vacation Jordans family visited a butterfly garden They brought a tote bag for 12.75 a giant milkweed plant for 30.20 and a ladybug growing kit for 29.15 About how much did the family spend in all
Answer:
$72. 10
Step-by-step explanation:
I think
A team of bakers can roll and form 5 dozen pretzels in 9 minutes. How many pretzels can this team form in 1 hour?
This team can form
pretzels in 1 hour.
Answer:
This team can form 400 pretzels in one hour
Step-by-step explanation:
How many pretzels in 9 minutes?
5(12)=60
Solve as proportion
60 pretzels = 9 minutes
x pretzels = 60 minutes
60(60)=9x
3600=9x
Divide both sides by 9
x= 400 pretzels
This team can form 400 pretzels in 1 hour
Answer:
this team can form 30 pretzels in 1 hour
Step-by-step explanation:
60 minutes are in a hour, and 60 divided by 9 is 6.6. So that means you would have to use 6. So 9 x 6 equals 54. Now do 5 x 6 and that would equal 30.
Frank joined a fitness club. He paid a monthly $50 registration fee, and dues are $12 per month.
Answer:
the answer is 50+12x. is this iready
BEGINNING COORDINATES:
A- 2,2
B- 0,2
C- 4,4
Triangle ABC is dilated by a factor of 2 with the center of dilation at the origin to form triangle A′B′C′. What are the coordinates of triangle A′B′C′?
Question 1 options:
A)
A′ (0, 4), B′ (4, 0), C′ (16, 16)
B)
A′ (0, –4), B′ (–4, 0), C′ (–8, –8)
C)
A′ (0, 4), B′ (4, 0), C′ (8, 8)
D)
A′ (4, 0), B′ (0, 4), C′ (8, 8)
Answer:
The correct option is;
A'(4, 4), B'(0, 4), C'(8, 8).
Step-by-step explanation:
The beginning coordinates are;
A -2, 2
B - 0, 2
C - 4, 4
Given that triangle ABC is dilated by 2, the center of dilation being the origin, (0, 0), we have;
Given that the center of dilation is the origin, we multiply the x, and y values by the scale factor as follows;
(x, y) → (2·x, 2·y)
Which gives;
A - (2, 2) → A'(2×2, 2×2) = A'(4, 4)
B - (0, 2) → B'(2×0, 2×2) = B'(0, 4)
C - (4, 4) → C'(2×4, 2×4) = C'(8, 8)
The correct option is A'(4, 4), B'(0, 4), C'(8, 8).
PLS need this quick.
Answer: 1
Step-by-step explanation:
i cant
Find a formula for the exponential function that satisfies h(3)=14 and h(6)=7. 168
The formula for the exponential function that satisfies h(3) = 14 and
h(6) = 7.168 is:
\(h(x) = 27.732 \times ((7.168 / 14)^{1/3})^x\)
We have,
To find a formula for the exponential function that satisfies h(3) = 14 and h(6) = 7.168, we can use the general form of an exponential function:
\(h(x) = a b^x\)
where a and b are constants to be determined.
Using the given information, we can set up two equations:
\(h(3) = a b^3 = 14 ...(1)\\h(6) = a b^6 = 7.168 ...(2)\)
Divide equation (2) by equation (1):
\((a b^6) / (a b^3) = 7.168 / 14\)
Simplify the equation:
b³ = (7.168 / 14)
Take the cube root of both sides to solve for b:
\(b = (7.168 / 14)^{1/3}\)
Now substitute the value of b back into equation (1) to solve for a:
\(a (7.168 / 14)^{1/3}^3 = 14\)
Simplify the equation:
a (7.168 / 14) = 14
Divide both sides by (7.168 / 14):
a = 14 / (7.168 / 14)
Simplify the equation:
a = 14² / 7.168
a ≈ 27.732
Therefore,
The formula for the exponential function that satisfies h(3) = 14 and
h(6) = 7.168 is:
\(h(x) = 27.732 \times ((7.168 / 14)^{1/3})^x\)
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Can you solve 17+4x<9
Answer:
x<-2
Step-by-step explanation:
17+4x<9
4x<-8
x<-2
The solution is:
↬ x < -2Work/explanation:
Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).
Make sure that all constants are on the right:
\(\bf{4x < 9-17}\)
\(\bf{4x < -8}\)
Divide each side by 4:
\(\bf{x < -2}\)
Hence, x < -2suppose that you are rolling a six sided dice. let a = even what is p(ac)?
Answer:
1/2
Step-by-step explanation:
When you roll a 6-sided die, there are 6 possible outcomes:
1, 2, 3, 4, 5, 6
3 of the outcomes are even, and 3 of the outcomes are odd.
p(A) = p(even) = 3/6 = 1/2
p(Ac) = 1 - p(A) = 1 - 1/2 = 1/2
How much more would you earn in the first investment than in the second investment below? Round your answers to the nearest dollar. • You invest $20,000 for 30 years at 12% compounded annually You invest $20,000 for 30 years at 6% compounded monthly
The main answer is that the first investment would earn $417,612 more than the second investment. Here is an explanation of how to get to that answer:For the first investment, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)where:A = the future value of the investmentP = the principal (initial investment)r = the annual interest raten = the number of times interest is compounded per yeart = the number of yearsFor this investment, we have:P = $20,000r = 0.12n = 1 (compounded annually)t = 30 yearsPlugging these values into the formula, we get:
A = $20,000(1 + 0.12/1)^(1*30)A = $20,000(1.12)^30A
= $20,000(17.446)A = $348,916.45
Rounding this to the nearest dollar gives us $348,916.For the second investment, we use the same formula, but with different values of n and r since the interest is compounded monthly:P = $20,000r = 0.06n = 12 (compounded monthly)t = 30 years Plugging these values into the formula, we get
:A = $20,000(1 + 0.06/12)^(12*30)
A = $20,000(1.005)^360
A = $20,000(2.214)
A = $44,280.90
Rounding this to the nearest dollar gives us $44,281.To find the difference between the two investments, we subtract the second investment's future value from the first investment's future value:$348,916 - $44,281 = $304,635Rounding this to the nearest dollar gives us $304,635.The first investment would earn $417,612 more than the second investment ($304,635 rounded to the nearest dollar).
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2. One candle, in the shape of a right circular cylinder, has a
height of 7.5 inches and a radius of 2 inches. What is the
volume of the candle? Show your work and round your
answer to the nearest cubic inch.
Use 3.14 for pi
The volume of the candle is approximately 94 cubic inches.
What is circular cylinder?
A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.
The volume of a right circular cylinder is given by the formula:
V = πr²h
Where
V is the volumer is the radiush is the heightSubstituting the given values into the formula, we get:
V = 3.14 x 2² x 7.5
V = 3.14 x 4 x 7.5
V = 94.2
Rounding to the nearest cubic inch, we get:
V ≈ 94 cubic inches
Therefore, the volume of the candle is approximately 94 cubic inches.
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Use the diagram to identify a segment parallel to CF
DG
AD
DC
AB
Answer:
DG
Step-by-step explanation:
This is a rectangular prism. BE & AH are also parallel to CF. but they r not in the answers.
a beaker was filled with 32 ounces of solution. the scientist used 50% of the solution. how much of the solution did the scientist use?.
To determine how much of the solution the scientist used, we need to calculate 50% of 32 ounces.
To find 50% of a quantity, we can multiply the quantity by 0.5 or divide it by 2.
In this case, we'll multiply 32 by 0.5 to find 50% of the solution:
50% of 32 ounces = 32 * 0.5 = 16 ounces
Therefore, the scientist used 16 ounces of the solution.
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The radius of a circle is 10 feet. What is the area of a sector bounded by a 180° arc?
Answer:
50π feet^2
Step-by-step explanation:
area of the circle = 10^2 π = 100π feet^2
A of the sector = 100π/2 = 50π feet^2
Problem 1 X and Y are i.i.d., and each is N(0,0). Obtain the density of the sum of the squares of X and y, first by finding the densities of the squares of X and Y. Verify your results directly by finding the CDF of Z=X2+Y?, and then getting the pdf.
Since X and Y are i.i.d. normal with mean 0 and variance σ^2, we have:
X^2 ~ χ^2(1,σ^2)
Y^2 ~ χ^2(1,σ^2)
The sum of two independent chi-squared random variables with degrees of freedom k1 and k2 and scale parameters λ1 and λ2 is a chi-squared random variable with degrees of freedom k1 + k2 and scale parameter λ1 + λ2.
Therefore, the sum of the squares of X and Y is distributed as:
Z = X^2 + Y^2 ~ χ^2(2, 2σ^2)
Using the pdf of the chi-squared distribution, we have:
fZ(z) = (1/(2σ^2))*((z/2σ^2)^(1/2))*exp(-z/(2σ^2))
To verify this result, we can find the CDF of Z:
FZ(z) = P(Z <= z) = P(X^2 + Y^2 <= z)
We can convert this to polar coordinates by letting r^2 = X^2 + Y^2 and integrating over the region where r^2 <= z:
FZ(z) = ∫∫r*fXY(x,y)drdθ
where fXY(x,y) is the joint density function of X and Y.
Since X and Y are independent, we have:
fXY(x,y) = fX(x)*fY(y)
and since X and Y are both standard normal variables, we have:
fX(x) = fY(y) = (1/sqrt(2π))*exp(-(x^2)/2)
Substituting these values into the integral and evaluating it gives:
FZ(z) = P(Z <= z) = (1/(2π))∫[0,2π]∫[0,sqrt(z)]rexp(-r^2/2)*(1/sqrt(2π))^2drdθ
Simplifying this expression gives:
FZ(z) = (1/2)*[1 - exp(-z/2σ^2)]
Differentiating this expression with respect to z gives the pdf of Z:
fZ(z) = d/dz(FZ(z)) = (1/(4σ^2))*z^(1/2)*exp(-z/(2σ^2))
which is consistent with our previous result.Since X and Y are i.i.d. normal with mean 0 and variance σ^2, we have:
X^2 ~ χ^2(1,σ^2)
Y^2 ~ χ^2(1,σ^2)
The sum of two independent chi-squared random variables with degrees of freedom k1 and k2 and scale parameters λ1 and λ2 is a chi-squared random variable with degrees of freedom k1 + k2 and scale parameter λ1 + λ2.
Therefore, the sum of the squares of X and Y is distributed as:
Z = X^2 + Y^2 ~ χ^2(2, 2σ^2)
Using the pdf of the chi-squared distribution, we have:
fZ(z) = (1/(2σ^2))*((z/2σ^2)^(1/2))*exp(-z/(2σ^2))
To verify this result, we can find the CDF of Z:
FZ(z) = P(Z <= z) = P(X^2 + Y^2 <= z)
We can convert this to polar coordinates by letting r^2 = X^2 + Y^2 and integrating over the region where r^2 <= z:
FZ(z) = ∫∫r*fXY(x,y)drdθ
where fXY(x,y) is the joint density function of X and Y.
Since X and Y are independent, we have:
fXY(x,y) = fX(x)*fY(y)
and since X and Y are both standard normal variables, we have:
fX(x) = fY(y) = (1/sqrt(2π))*exp(-(x^2)/2)
Substituting these values into the integral and evaluating it gives:
FZ(z) = P(Z <= z) = (1/(2π))∫[0,2π]∫[0,sqrt(z)]rexp(-r^2/2)*(1/sqrt(2π))^2drdθ
Simplifying this expression gives:
FZ(z) = (1/2)*[1 - exp(-z/2σ^2)]
Differentiating this expression with respect to z gives the pdf of Z:
fZ(z) = d/dz(FZ(z)) = (1/(4σ^2))*z^(1/2)*exp(-z/(2σ^2))
which is consistent with our previous result.
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A DVD has a diameter of 14 millimeters. What is it's circumference. Use 3.14 for pi.
43.96 mm
87.92 mm
21.98 mm
10.99 mm
Answer:
43.96 pls like my answer and rate
Sheena is stocking a shalf with bags of flour that weigh 5 1 /4
5 4/ 1 pounds each. If Sheena stocks the shelf with 13 bags of flour, find the combined weight of the 13 bags.
Answer:
68 1/4 lbs
Step-by-step explanation:
its just the answer
A photo is being resized to sell at a gallery. The original photo is 4 inches by 6 inches. Using the dimensions of 3.5 ft by 5.25 ft, find the scale factor.
The required scale factor for the resized image is 110.25:1.
What is the scale factor?The scale factor is defined as the ratio of the modified change in length to the original length.
Here,
The original photo is 4 inches by 6 inches.
The dimensions of the resized image is 3.5 ft by 5.25 ft,
1 feet = 12 inches
As of the definition mentioned above
Scale factor = 3.5 × 12 × 5.25 × 12 / 4×6
Scale factor = 110.25:1
Thus, the required scale factor for the resized image is 110.25:1.
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Pls help me. To be submitted tomorrow
Answer:
The value of your equation would be 371/30
Step-by-step explanation:
Given tanθ=8/15 - -(1)
sec^2θ
= 1+tan^2θ
= 1+(8/15)^2
= 1+64/225
= 225+64/225
= 289/225
=17^2+15^2
Now, secθ = \(\sqrt{\frac{17^2}{15^2} }\)
= 17/15
Cosθ = 15/17 - -(2)
Value of sinθ+cosθ/cosθ(1-cosθ)
Dividing numerator and denominator by cosθ, we get
= sinθ+cosθ/cosθ/cosθ(1-cosθ)/cosθ
= (sinθ/cosθ+cosθ/cosθ)/(1-cosθ)
= tanθ - 1/1-cosθ
= 8/15 + 1/1-15/17
= 8+15/15/17-15/17
= 23/15/2/17
= 23/15 x 17/2
= 371/30
Hope this helps!
What is the minimum hot-holding temperature for fried shrimp? a. 105 ° F41 ° C b. 115 ° F46 ° C c. 125 ° F52 ° C d. 135 ° F 57 ° C
The minimum hot-holding temperature for fried shrimp is d. 135 ° F 57 ° C. It is important to maintain this temperature to ensure that the food remains safe for consumption and to prevent the growth of harmful bacteria.
The minimum hot-holding temperature for fried shrimp is 135 °F (57 °C). When food is hot-held, it means it is kept at a specific temperature after cooking to maintain its quality and safety until it is served or consumed. This temperature is important because it helps prevent the growth of harmful bacteria, such as Salmonella and E. coli, that can cause food borne illnesses.
At a hot-holding temperature of 135 °F (57 °C) or higher, the heat inhibits the growth of bacteria, ensuring that the fried shrimp remains safe for consumption. This temperature range is considered a critical control point in food safety practices.
It's worth noting that the temperature of 135 °F (57 °C) is the minimum requirement for hot-holding fried shrimp. However, in practice, it's generally recommended to hold the shrimp at a slightly higher temperature to account for any temperature loss that may occur over time.
Some food establishments may set their hot-holding equipment to maintain a temperature of 140 °F (60 °C) or higher to ensure the safety and quality of the food.
By adhering to proper temperature control guidelines, including maintaining the minimum hot-holding temperature of 135 °F (57 °C), you can help prevent the risk of food borne illnesses and ensure that the fried shrimp remains safe and enjoyable to consume.
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If f(x)=16x-30 and g(x)=14x-6, for which value of x does (f-g)(x)=0?
12
13
14
The value of x for which (f - g)(x) = 0 is x = 12.
To find the value of x for which (f - g)(x) = 0, we need to subtract g(x) from f(x) and set the resulting expression equal to zero. Let's perform the subtraction:
(f - g)(x) = f(x) - g(x)
= (16x - 30) - (14x - 6)
= 16x - 30 - 14x + 6
= 2x - 24
Now, we can set the expression equal to zero and solve for x:
2x - 24 = 0
Adding 24 to both sides:
2x = 24
Dividing both sides by 2:
x = 12
Therefore, the value of x for which (f - g)(x) = 0 is x = 12.
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3+9+5x+4+8x simplified
Answer:
13x + 16
Step-by-step explanation:
Add the like terms together, like terms are terms that have the same variable or power. Ex. x and 4x are like terms, 4x and 4 are not. x^2 and x^3 are not like terms, x^2 and 2x^2 are like terms.
3+9+5x+4+8x
5x+8x+3+9+4
13x + 16
A square board has an area of 144 square units. How long is each side of the board?
Answer: 12 units
Step-by-step explanation:
∴ Area of Square = side length × side length
⇒144 = lengt²
⇒length = √144
⇒length = 12 units ANSWER
hope that helps...
Clarissa took a job through an employment agency. The job pay $395 per week.Clarrisa must pay a fee to the employment agency. The fee is 20% of her first fourweeks pay. How much money must Clarrisa pay the agency?
Given Data:
The salary of Clarissa is : $395 per week
The total amount Clarissa own the employment agency is 20% of the 4 weeks salery.
The total salary of employment agency in four week is,
\(395\times4=1580\)Clarissa earn $1580 in her first four week.
The 20% of the $1580 is the amount Clarissa owns the agency.
The 20% of the $1580 is,
\(\begin{gathered} 1580\times\frac{20}{100}=1580\times0.2 \\ =316 \end{gathered}\)Thus, Clarissa has to pay $316 to the employment agency.
How to do substitution
write the formula for the coefficient of quartile deviation
Step-by-step explanation:
How to Calculate the Semi Interquartile Range / Quartile Deviation. As the SIR is half of the Interquartile Range, all you need to do is find the IQR and then divide your answer by 2. Note: You might see the formula QD = 1/2(Q3 – Q1). Algebraically they are the same.
15x - 5y = 30. solve for y
(please help!!)
Move all terms that don't contain \(y\) to the right side and solve.
Answer:\(y=6-3x\)Which equation represents a line that passes through (4, 1/3) and has a slope of 3/4
Answer:
y-y1=m(x-x1)
y-1/3=3/4(x-4)
y=3/4x-8/3
here are the exam scores for the 14 students in mrs. gopaul’s statistics class: 60 61 61 65 72 75 75 78 81 81 85 89 91 98. what is the percentile of the person whose score was 65?
The percentile of the person with a score of 65 is approximately 28.57%.
The percentile of the person whose score was 65 can be calculated by determining the proportion of scores that fall below 65, and then expressing it as a percentage.
To find the percentile, we need to compare the score of 65 with the rest of the scores in the class.
The given scores are: 60, 61, 61, 65, 72, 75, 75, 78, 81, 81, 85, 89, 91, 98.
First, we need to determine the number of scores that are less than 65.
From the given scores, we can see that there are 3 scores less than 65 (60, 61, and 61).
Next, we calculate the proportion by dividing the number of scores less than 65 (3) by the total number of scores (14).
This gives us 3/14 ≈ 0.2143.
To express this as a percentile, we multiply the proportion by 100, giving us approximately 21.43.
However, since we are interested in the percentile of the person with a score of 65, we need to consider that they fall within this range.
Since there are 3 scores less than 65, and the person with a score of 65 is included, we add 1 to the numerator of our proportion, making it 4/14 ≈ 0.2857.
Finally, multiplying this proportion by 100, we find that the percentile of the person with a score of 65 is approximately 28.57%.
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The sale price of every item in a store is 85% of its usual price.
The usual price of a backpack is $30, what is its sale price?
Answer:
25.5 dollars
Step-by-step explanation:
Today 108 people visited a water park during the first hour that the water park was open. This number is 40% of the number of people who visited the water park during the first hour yesterday
Answer:
110029290292929191929