The length of CD is 4 units
The length of BD is 6 units
At the intersection of C there are four 90 degrees formed
Other information will be given to determine the length of AB when length of AC is 8 units
What is a rectangle?A rectangle is a specific form of parallelogram which has the following properties
A rectangle's neighboring sides are perpendicular to one another and create right angles.the length being the longer side and the width being the shorter side hence all sides are not equalWhen all the sides are equal then we have a square but in this case we have a rectangle.
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Determine the slope, the y-intercept and the
x-intercept of the line 4x - 3y - 42 = 0.
Answer: 3/4
Step-by-step explanation:
First we need to get the formula into slop form (Y = Mx + B) by moving Y to the other side. This can be done by adding 3y to both sides.
4x - 42 = 3y
or
3y = 4x - 42
Now that we have the formula, we need to divide everything by 3 in order to get 1y.
y = 3/4x - 14
In this formula, M is the slope, meaning your final answer is
3/4
how many gallons of water will evaporate from a pool of 200 square feet? round to the nearest gallon.
a) The evaporation rate per square foot of surface area (in gal/A) is equals to the 1/12 gal/A.
b) The thirty-three gallons of water will evaporate from a pool of 200 square feet.
We have, Area of a pool = 200 square feet
and we have to determine quantity of water evaporate from a pool in gallons. For this, first we have to calculate the evaporation rate. Let's assume y = gallons of water and
x = surface area in square foot
From the data, dy/dx = (50-25) / (400-100)
=> dy/dx = 1/12
The above equation means that for every 12 square feet surface there is 1 gallons water of evaporation will happen. So, similarly for 100 square feet = 100/12 gallons water
=> 8.33 gallons
But for 100 square feet 25 gallons of evaporation will happen.
=> 25 - 8.33 = 16.67
b) Now we will calculate quantity of water will evaporate from a pool of 200 square feet. As we know, 1 gallon for 12 square feet, so number of gallons for 200 square foot = 200/12
= 16.66
Now we add 16.67 for answer that is 16.66+ 16.67 = 33.33 ~ 33 gallons of water. Hence, required value is 33 gallons.
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Complete question:
Water evaporates from a swimming pool at an approximately constant rate of 25 gallons of water for a pool with a surface area of 100 square feet to 50 gallons for a pool with a surface area of 400 square feet.
(a) What is the evaporation rate per square foot of surface area (in gal/A?)? Round to the nearest hundredth. gal/
(b) How many gallons of water will evaporate from a pool of 200 square feet? Round to the nearest gallon. X gal Need Help? Read Submit Answer
the students have 12 bags of balloon with 24 balloons in each bag they have filled 139 with air. if they use all the bags how many still need to be filled with air
A.67
B.149
C.288
D.365
Answer:
149
Step-by-step explanation:
12× 24 = 288
228 - 139 = 149
Answer:
B. 149
Step-by-step explanation:
If the students have already filled 139 balloons with air and are going to use all the bags. They would need to fill 149 more balloons.
The first step would be to find the total number of ballons by calculating 12x24 which will give you 288.
From here you would need to subtract the number of ballons that are already filled with air from the balloons that remain which would be 288-139. This would give you a total of 149 balloons that still need to be inflated.
The moving of the orientation or position of an angle changes the measurement of the angle. True or false
Answer:
the correct answer is true
Answer:
I believe this is true!
Hope that helps!
(15\%) Suppose that the WFQ scheduling policy is applied to a buffer that supports three classes (of priority packets), and suppose the weights are 0.25,0.5, and 0.75 for the three classes. Further suppose that each class has a large number of packets in the buffer. In what sequence might the three classes be served in order to achieve the WFQ weights?
The sequence in which the three classes might be served in order to achieve the WFQ weights is: Class 1: 25%, Class 2: 50%, Class 3: 75%
WFQ scheduling policy stands for the Weighted Fair Queuing scheduling policy. It is a packet scheduling technique that is utilized in Quality of Service (QoS) for network resources that are shared among different applications and users. The WFQ technique aims at equalizing the traffic and providing fair access to network resources. WFQ is an improvement over traditional Round Robin scheduling.
WFQ assigns the weights to different classes and sorts the packets in the buffer based on priority. It then serves the packets by assigning transmission time slots to them. The packets with the highest priority are served first and so on until all the packets have been served.
The WFQ scheduling policy is applied to a buffer that supports three classes of priority packets, and the weights are 0.25, 0.5, and 0.75 for the three classes. To achieve the WFQ weights, the three classes might be served in the following sequence: Class 1: 25%, Class 2: 50%, Class 3: 75%
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Jane spent 3 hours exploring a mountain with a dirt bike. First, she rode 48 miles uphill. After she reached the peak she rode for 15 miles along the summit. While going uphill, she went 5 mph slower than when she was on the summit. What was her rate along the summit?
Answer: \(25\ mph\)
Step-by-step explanation:
Given
Jane took 3 hours
First she rode 48 miles with let say with \(x\) mph
then she rode 15 miles with speed \((x+5)\) mph
Equate the time in each ride and equate it to total time
\(\Rightarrow 3=\dfrac{48}{x}+\dfrac{15}{x+5}\\\\\Rightarrow 3x(x+5)=48(x+5)+15x\\\\\Rightarrow 3x^2+15x=48x+48\times 5+15x\\\\\Rightarrow 3x^2-48x-240=0\\\\\Rightarrow (x-20)(x+4)=0\\\\\text{Neglecting the negative value as speed cannot be negative}\\\\\Rightarrow x=20\ mph\)
So, her along the summit is \(x+5=25\ mph\)
write the expression in exponential from 7×7×7×7×7×7
Answer:
7^6
Step-by-step explanation:
7 to the power of 6
Answer: \(7^{6}\)
Step-by-step explanation:
Exponential form denotes how many times a value is multiplied by itself.
This is 7 times itself 6 times, so it is written as 7 with a 6 in the top right corner.
Please help with this question
Answer:
\(25\)
Step-by-step explanation:
\(\frac{5^8 \times 5^{-2}}{5^4}\)
\(\frac{5^{8+-2}}{5^4}\)
\(\frac{5^{6}}{5^4}\)
\(5^{6-4}\)
\(5^2\)
\(=25\)
What is the variable expression for 6 less than the difference of 5 and a number? * 3 points 6 - 5 - n 6 - n - 5 (5 - n) -6 6 - (5 - n)
Given:
The given statement is "6 less than the difference of 5 and a number".
To find:
The variable expression for the given statement.
Solution:
Let n be the unknown number or the variable.
We know that minus sign is used to represent the difference between two numbers.
Difference of 5 and a number is \((5-n)\).
6 less than the difference of 5 and a number is \((5-n)-6\).
The required expression for the given statement is \((5-n)-6\).
Therefore, the correct option is C.
What is the domain of the relation?
Options are shown in photo next to the graph. Will give brainliest and lots of points.
Answer:
c
Step-by-step explanation:
Which situation is best represented by the following equation? 45w + 123.95 = 753.95 Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes? Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each weekas enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes? Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she her sister paid $45 for each week she was enrolled in the classes. What is w, the number of were enrolled in dance classes? o the classes, and and her sister Erica paid $753.95 for dance classes. She paid $123.95 for each week she was enrollemne casses arter using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica wastanice classes? o .ع) rw
Answer:
w= 14
Step-by-step explanation:
hopes thi helps
What is the forecast for May using a five-month moving average?(Round answer to the nearest whole number.) Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
A. 43 B. 47 C. 52 D. 38 E. 39
The forecast for May using a five-month moving average is 39 (Option E).
Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.
According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
We have to add the sales of these five months, which gives:
27 + 40 + 42 + 41 + 47 = 197
To find the moving average for May, we divide this sum by 5:
197 / 5 = 39.4
Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.
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The play director 790 hours preparing for a plane that time include attending 35 rehearsals that took varying amount of time in spending 93 3/4 hours on the other responsibilities related to the play. What question does the equation 3/5 x + 93 3/4 equal 190 help answer? A. How much longer did the director spend on rehearsals and on other responsibilities? B. What was the average length of each rehearsal? C. How long was each rehearsal?
Complete question :
The play director 190 hours preparing for a plane that time include attending 35 rehearsals that took varying amount of time in spending 93 3/4 hours on the other responsibilities related to the play. What question does the equation 3/5 x + 93 3/4 equal 190 help answer? A. How much longer did the director spend on rehearsals and on other responsibilities? B. What was the average length of each rehearsal? C. How long was each rehearsal?
Answer: C. How long was each rehearsal?
Step-by-step explanation:
Total time spent preparing for play = 790 hours
Of the 190 hours :
Number of rehearsals = 35
Others = 93 3/4 hours
What question does the equation 35 x + 93 3/4 equal 190
35x + 93 3/4 = 190
(Number of rehearsals) * x + others = total time
x = time spent on each rehearsal
35x = 190 - 93 3/4
35x = 96.25
x = 96.25 / 35
x = 2.75 hours
Each rehearsal took 2.75 hours
6. What are the solutions for p2 - 16 = 0 ?
A) {-4,4} B) {4}
C) {-8, 8} D) {8}
Answer:
A
Step-by-step explanation:
Given
p² - 16 = 0 ( add 16 to both sides )
p² = 16 ( take the square root of both sides )
p = ± \(\sqrt{16}\) = ± 4
Thus solution is { - 4, 4 } → A
Rosie is x years old
Eva is 2 years older
Jack is twice Rosie’s age
A) write an expression for the mean of their ages.
B) the total of their ages is 42
How old is Rosie?
Answer:
Rosie is 10 years old
Step-by-step explanation:
A)
Rosie is x years old
Rosie's age (R) = x
R = x
Eva is 2 years older
Eva's age (E) = x + 2
E = x + 2
Jack is twice Rosie’s age
Jack's age (J) = 2x
J = 2x
B)
R + E + J = 42
x + (x + 2) + (2x) = 42
x + x + 2 + 2x = 42
4x + 2 = 42
4x = 42 - 2
4x = 40
\(x = \frac{40}{4} \\\\x = 10\)
Rosie is 10 years old
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Answer:
Step-by-step explanation:
PLEASE HELP!! BRAINILIESTTTT
Answer:
The element is Boron(B)
Step-by-step explanation:
This is because on the periodic table, it shows that Boron has 5 protons and 5 electrons
It takes violet 3/5 hour to paint a chair. How much of the chair will be finished after 1/3 hour? Plz answer this plzzzzz!!
pls help. WILL MARK BRAINLEST asap!!!!!!
picture dwn below
x = {x | x ≠ 0, x ≠ ±7} is the domain of the given function h(x) = 9x/x(x²-49). So, Option B is the correct option.
What is a function's domain?Functions are used to assign outputs to inputs. A function's domain is the collection of all potential inputs to the function. The domain of f(x)=x2 is all real numbers, for example, whereas the domain of g(x)=1/x is all real numbers except x=0.
How do we determine a function's domain?Consider the function y = f(x) to have an independent variable x and a dependent variable y. If a function f provides a technique to successfully create a single value y using a value for x, that chosen x-value is said to belong to f's domain.
The given function is h(x) = 9x/x(x²-49)
We need to determine the domain of this function.
Let us equate the denominator of the function to zero to find x value.
x(x²-49) = 0
x = 0
x²-49 = 0
x = ± 7
Thus, x = 0,-7,+7
So, domain can be intervals between the x values obtained but cannot be equal to the x values.
Therefore, x = {x | x ≠ 0, x ≠ ±7} is the domain of the given function h(x) = 9x/x(x²-49). So, Option B is the correct option.
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Write the place and value of 9 in 384.809
Answer:
in the thousandths
Step-by-step explanation:
because it would go
hundreds,tens,ones (decimal) tenths, hundredths,then thousandths
Answer:
Thousandths place and 0.009
Step-by-step explanation:
3. The Alvarez family bought a car for $2,000. They made a down
payment of $500. If they want to pay the balance in 5 equal
payments, how much will each of these payments be?
The first step is to subtract $500 from $2000 and then you end up with $1500 which you then divide by 5.
Each payment will have to be $300
Consider a binomial experiment with n=20 p=0.70. Use excel to compute the following probabilities and match to the correct value. Prompts Submitted Answers P(x=8) Choose a match P(x=10) Choose a match P(x=12) Choose a match p(x=17) Choose a match
In a binomial experiment with n=20 and p=0.70, we are asked to calculate the probabilities P(x=8), P(x=10), P(x=12), and P(x=17). We will use Excel to compute these probabilities and then match them to the correct values.
To calculate the probabilities in a binomial experiment, we can use the binomial probability formula:
P(x) = (nCx) * p^x * (1-p)^(n-x)
where n is the number of trials, p is the probability of success, x is the number of successful outcomes, and nCx represents the number of combinations of n items taken x at a time.
Using Excel, we can use the BINOM.DIST function to calculate these probabilities. We will specify the value of x, the number of trials (n), the probability of success (p), and set the cumulative parameter to FALSE to get the probability of a specific value.
For P(x=8), we will use the formula: "=BINOM.DIST(8,20,0.70,FALSE)".
For P(x=10), we will use the formula: "=BINOM.DIST(10,20,0.70,FALSE)".
For P(x=12), we will use the formula: "=BINOM.DIST(12,20,0.70,FALSE)".
For P(x=17), we will use the formula: "=BINOM.DIST(17,20,0.70,FALSE)".
After calculating these probabilities using Excel, we can match the results with the provided options to determine the correct values for each probability.
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What is the value of x? Enter your answer in the box. x =
Check the picture below.
190.5 is 62% of what number? Provide a step by step explanation.
Answer:
307
Step-by-step explanation:
Use the percent proportion to solve:
Percent/100 = Part/Whole
In this case:
62/100 = 190.5/W (W for whole, we are trying to find the whole)
Cross multiply:
62w = 100(190.5)
Multiply 100 by 190.5:
62w = 19,050
Solve for w:
Divide both sides by 19,050 to isolate the variable and get the answer
19,050/62 = 307.25.....
~ After rounding to the nearest percent, the answer is 307
ANSWER CHOICES:
Y= -3/4 x -4
Y= -3/4 x -3
Y= -4/3 x -3
Y= -4/3 x -4
I NEED HELP ASAP!!
Answer:
Y= -3/4 x -3
Step-by-step explanation:
What is the probability of getting a score of 80% or higher on a 5-question true- false quiz when guessing (with a 50-50 chance of being correct) on every question
The probability of getting a score of 80% or higher is 0.18750.
We are given that;
The probability of getting a score = 80%
Now,
We can use the binomial probability formula:
\($$P(X) = {n \choose x} p^x (1-p)^{n-x}$$\)
where P(X) is the probability of getting x successes out of n trials, p is the probability of success on each trial and (1-p) is the probability of failure on each trial.
In this case, we have:
n = 5 the number of questions on the quiz
x = 4 or x = 5, the number of correct answers needed to get 80% or higher
p = 0.5, the probability of guessing correctly on each question
(1-p) = 0.5, the probability of guessing incorrectly on each question
So, we can plug these values into the formula and calculate the probabilities for x = 4 and x = 5:
\($$P(X=4) = {5 \choose 4} (0.5)^4 (0.5)^{5-4} = \frac{5!}{4!(5-4)!} (0.5)^4 (0.5)^1 = \frac{5}{1} (0.0625) (0.5) = 0.15625$$$$P(X=5) = {5 \choose 5} (0.5)^5 (0.5)^{5-5} = \frac{5!}{5!(5-5)!} (0.5)^5 (0.5)^0 = \frac{1}{1} (0.03125) (1) = 0.03125$$\)
To find the probability of getting 80% or higher, we need to add these two probabilities:
\($$P(X \geq 4) = P(X=4) + P(X=5)\)
= 0.15625 + 0.03125 = 0.18750$$
Therefore, by probability the answer will be 0.18750.
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Inspired by her entrepreneurial success, Miss Kito decides to invest some of her money in an account gaining interest compounded continuously. She ultimately would like to purchase a $15000 car. How much would she have to invest initially to have the necessary money in 5 years ? Round your answer to the nearest whole dollar that will ensure that she has at least $15000 after 5 years. Note: For continuous compounding you can use the formula: A = Pe^rt
Miss Kito would need to invest approximately $11,309 initially to have at least $15,000 after 5 years, rounded to the nearest whole dollar.
To calculate the initial investment needed for continuous compounding, we can use the formula:
A = P × \(e^{rt}\)
Where:
A = the final amount (desired amount) = $15,000
P = the initial investment (unknown)
e = the mathematical constant approximately equal to 2.71828
r = the interest rate = 6% = 0.06 (in decimal form)
t = the time period in years = 5 years
We want to solve for P, so we rearrange the formula:
P = A / \(e^{rt}\)
Substituting the given values into the formula, we have:
P = $15,000 / \(e^{0.06(5)}\)
Using a calculator, we can evaluate the expression:
P ≈ $11,308.65
Therefore, Miss Kito would need to invest approximately $11,309 initially to have at least $15,000 after 5 years, rounded to the nearest whole dollar.
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The complete question is :
Inspired by her entrepreneurial success, Miss Kito decides to invest some of her money in an account gaining 6% interest compounded continuously. She ultimately would like to purchase a $15000 car. How much would she have to invest initially to have the necessary money in 5 years? Round your answer to the nearest whole dollar that will ensure that she has at least $15000 after 5 years
The circle below has a center C and its radius is 3 yd
Answer:
13.63 yd
Step-by-step explanation:
Radius of whole circle= 2×22/7×3
= 18.857 yd
length of minor arc = 100/360×2×22/7×3
=5.218yd
length of major arc =18.85- 5.218
= 13.63 yd
find the length of the curve. r(t) = 8t, t2, 1 12 t3 , 0 ≤ t ≤ 1
The length of something like the curve is 8.083, going per the supplied statement.
What in mathematics is a curve?Curve, An abstract phrase used to characterize the trajectory of a continually moving point in mathematics (see continuity). Usually, an equation will create such a route. The term may also be used to describe a solid line or a collection of connected line segments. The IS curve displays permutations of borrowing costs and production levels where anticipated expenditure and income are equal. The many interest and income configurations along which the commodity is in homeostasis are represented by the IS Curve.
\(\begin{aligned}& r(t)=\left\langle 8 t, t^2, \frac{1}{12} t^3\right\rangle \\& r^{\prime}(t)=\left\langle 8,2 t, \frac{t^2}{4}\right\rangle\end{aligned}\)
\(\begin{aligned}& \left|\lambda^{\prime}(t)\right|=\sqrt{64+4 t^2+\frac{t^4}{16}}=\sqrt{1 / 16\left(t^2+32\right)^2} \\& \left|r^{\prime}(t)\right|=\frac{1}{4}\left(t^2+32\right)\end{aligned}\)
Length of arc = \(\int_a^b\left|r^{\prime}(t)\right| d t\)
\(\begin{aligned}& L=\frac{1}{4} \int_0^1\left(t^2+32\right) d t \\& L=\frac{1}{4}\left[\frac{t^3}{3}+32 t\right]_0^1=\frac{1}{4}\left[\frac{1}{3}+32\right]\end{aligned}\)
L = 8.083
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to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 12 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?
The original recipe had 0.9 cups of bananas.
Using only fresh ingredients, strawberry banana smoothie is a simple, nutritious dish. It is creamy, sweet, nutritious, and dairy- or dairy-free can be used to make it. The ideal summertime smoothie. Putting the strawberries, frozen banana, milk, and yoghurt in a blender and mixing until smooth and creamy is all that is required to make it.
Cups of strawberries = 1.75
No. of cups added of banana = 1/2
= 0.5
No. of cups of banana smoothie have = 14.
The original recipe had = 1.4 - 0.5
= 0.9
Hence, the original recipe had 0.9 cups of bananas.
Correct Question :
to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 1/2 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?
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