Answer:
1. \(\frac{33}{15} \)
2. \(\frac{87}{8} \)
3. \(\frac{157}{6} \)
h+8g
g=5 and h=4
I am not very quick at these and I need an answer ASAP
please!!
Answer:
44
Step-by-step explanation:
4+8(5)
Multiply 8 by 5
4+40=44
Add 4 to the product (40) to get the final answer of 44
Remember PEMDAS
PLEASE HELP ASAP!!! will mark brainlest!
Answer: 82
Step-by-step explanation:
Find P(red 7,black face card)
The probability of drawing a red 7 and black face card is P ( A ) = 1/221
Given data ,
Let the probability of drawing a red 7 and black face card be P ( A )
Now , the compound probability is given by\
The number of red 7 cards = ( red of diamonds 7 + red of hearts 7 )
Probability of drawing a red 7 = 2/52
Now , the card is not replaced , so the total number of remaining cards = 51
And , number of black face cards = 6
Probability of drawing a black face card = 6/51
So , P ( A ) = 2/52 ( 6/51 )
P ( A ) = 12 / 2652
On simplifying , we get
P ( A ) = 1/221
Hence , the probability is P ( A ) = 1/221
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Max and Maddy race. Max runs at a speed of 2mph. Maddy runs at a speed of 3mph. If Max takes 3 hours, what is Maddy's speed?
Plz answer!
Answer:
The question has the answer in it.. Maddy's speed.. which is 3 MPH :/ but... if you need to find the thing that isn't known... Maddy's time.. here is how..
Step-by-step explanation:
Max takes 3 hours at 2 mph.. soo 3x2=6 miles that max traveled
Maddy runs at 3 mph so .. 6 miles / 3MPH =2 hours, Maddy takes 2 hours
Explain why the set of natural numbers {1,2,3,4,...} and the set of even numbers {2, 4, 6, 8, . . .} of positive even numbers
The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.
About the setsTwo important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.
The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.
Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.
Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}
On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.
Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.
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Why is Fadil Incorrect ? Help ASAP due in an hour.
Answer: Fadil is wrong because the point shown in the graph is actually (5, 7) (x-intercept is 5 & y-intercept is 7)
Step-by-step explanation:
I think it’s pretty self explanatory ⬆️
Answer:
The ( X,Y ) cordanites are backwards, The 7 and 5 should be switched.
Step-by-step explanation:
5. Max and Evie are comparing the number of ride tickets they have for an amusement park. They notice that Evie has 4 less than three times the number of tickets that Max has. If the number of tickets Max has is represented by n, then which of the following represents the combined number of tickets Max and Evie have in terms of n?
Answer:
4n - 4
Step-by-step explanation:
3n-4 = the amount of tickets Evie has
n = the amount of tickets Mark has
3n - 4 + n = 4n - 4
after a translation 5 units left and 6 units down.
We will investigate the translation transformation applied on a figure defined on a cartesian coordinate grid.
Translation transformation deals with the displacement of the primary vertices of a figure like a square JKLM with certain number off units in horizontal and/or vertical direction.
We will investigate the type of translations that are possible as follows:
\((\text{ x , y ) }\to\text{ ( x + a , y + b )}\)Where,
\(\begin{gathered} a\colon\text{ Number of horizontal units shifts} \\ b\text{ : Number of vertical units shifts} \end{gathered}\)AND,
\(\begin{gathered} a\text{ > 0 }\ldots\text{ Right shift} \\ a\text{ < 0 }\ldots\text{ Left shift} \\ a\text{ = 0 }\ldots\text{ No horizontal shift} \\ \\ b\text{ > 0 }\ldots\text{ Up shift} \\ b\text{ < 0 }\ldots\text{ Down shift} \\ b\text{ = 0 }\ldots\text{ No Vertical shift} \end{gathered}\)We will investigate how to use the above rule to determine the image of the square JKLM.
We will translate each vertex 5 units left and 6 units down! We will assign the constants a value according to the translation units:
\(\begin{gathered} a\text{ = -5} \\ b\text{ = -6} \end{gathered}\)The general rule that will be applied to the vertices of the square JKLM:
\((\text{ x , y ) }\to\text{ ( x - 5 , y - 6 )}\)The four coordinate of the square are:
\(J\text{ ( 1 , -3 ) , K ( 9 , -3 ) , L ( 9 , 5 ) , M ( 1 , 5 )}\)Applying the general rule to determine the image of all vertices:
\(\begin{gathered} J\text{ ( 1 , -3 ) }\to\text{ J' ( 1 -5 , -3 - 6 ) }\to\text{ J' ( -4 , -9 )} \\ K\text{ ( 9 , -3 ) }\to\text{ K' ( 9 -5 , -3 - 6 ) }\to\text{ K' ( 4 , -9 )} \\ L\text{ ( 9 , 5 ) }\to\text{ L' ( 9 -5 , 5 - 6 ) }\to\text{ L' ( 4 , -1 )} \\ M\text{ ( 1 , 5 ) }\to\text{ M' ( 1 - 5 , 5 - 6 ) }\to\text{ M' ( -4 , -1 ) } \end{gathered}\)The image of the square JKLM is as follows:
\(J^{\prime}\text{ ( -4 , -9 ) , K' ( 4 , -9 ) , L' ( 4 , -1 ) , M' ( -4 , -1 )}\)We can plot these images on the grid as follows:
HELP I NEED HELP ASAP
Which of the following equations are linear functions?
I. 3x + 4y = -6
II. y = -4x + 7
III. 5x2 + 3y = 12
Answer:
1 and 2 are linear functions.
Step-by-step explanation:
hi can some help me with question 2?
Answer:
The most logical explanation should be D if it's starting about the black one but if it's the blue one then it would be A.
Solve for the value of x in the diagram below. After finding the x value identify for the other angles measures in the
diagram below. Make sure to identify your angle with its correct measure. Please show your work for full credit.
The value of x is 120° .
Given,
In triangle HGF,
HF and FG and are equal in length and ∠G is 60° .
Now,
If the sides are equal there angles will be equal.
So,
FG and FH are equal thus angle ∠H will be equal to 60° .
Sum of all the interior angles of triangle is 180° . Thus ∠F will be equal to 60° .
Now,
∠H and x° will form linear pair.
∠H + x° = 180°
x = 120° .
Hence all the angles of the triangle are obtained.
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Complete the number sentence to solve. Two students share 9 blocks of clay equally How much clay does each student get?
how many different digits are used in the hexadecimal number system?
Answer:16
Step-by-step explanation:
(7 points) Evaluate \( \int_{-1}^{1} \int_{-\sqrt{1-x^{2}}}^{0} x^{2} d y d x \). In order to receive full credit you must sketch the region of integration.
The value of the given integral is 4√(3)/3 .
To evaluate the integral, we can use iterated integration.
Let's start with the inner integral,
∫ x² dy Having limit √(1 - x²) to 0
We can integrate this using the fundamental theorem of calculus,
∫ x² dy Having limit √(1 - x²) to 0
= yx² Having limit √(1 - x²) to 0
= -x²√(1 - x²)
Now, substitute this back into the original integral:
⇒ ∫-x²√(1 - x²)dx Having limit -1 to 1
We can use integration by parts to solve this integral,
Let u = -x² and dv = √(1 - x²) dx
Then du/dx = -2x and v = (1/2)(x√(1 - x²)+ asin(x))
Using the integration by parts formula, we get:
⇒ ∫ of -x²√(1 - x²)dx having limit -1 to 1
⇒ (-x²) (1/2) (x√(1 - x²) + asin(x)) | limit from -1 to 1 - ∫ limit from - 1 to 1 of (1/2) (x√(1 - x²) + asin(x)) (-2x) dx
Simplifying, we get,
= (-1/2) (0 + asin(1) - (0 + asin(-1))) + 2 ∫ from -1 to 1 of x²√(1 - x²) dx
The first term is zero, and the second term is the integral we previously solved.
So, we have,
= 2 (-x²√(1 - x²)) limit from -1 to 1
= 4√(3)/3
Therefore, the value of the integral is 4√(3)/3
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solve for k: -2k = k - 7 - 8 and explain in number form
Answer:
k = 5
Step-by-step explanation:
-2k = k - 7 - 8
Combine like terms
-2k = k - 15
add 15 to both sides
-2k + 15 = k
Add 2k to both sides
15 = 3k
Divide both sides by 3
k=5
Hope this helps!
(Please please, actually type the answer and dont send it in a file because it wont work)
A stone pyramid in Egypt has a square base that measures 154 m on each side. The height is 92 m. What is the volume of the pyramid?
Answer: like 36 i think
Step-by-step explanation:
Answer:
14168
Step-by-step explanation: just multiple
A ribbon surrouds the edge of a circular hat that has a radius of 8 inches. Find the length of the ribbon tot he nearest tenth.
The length of the ribbon to the nearest tenth is 50.3 inches.
To find the length of the ribbon that surrounds the edge of a circular hat that has a radius of 8 inches, we can use the formula for the circumference of a circle.
The formula for the circumference of a circle is given by the following:
C = 2πr
Where C represents the circumference of the circle, π represents the constant value of pi which is approximately equal to 3.14, and r represents the radius of the circle.
Given that the circular hat has a radius of 8 inches, we can use this value to find the circumference of the circle.
Hence, we have: r = 8 inches
C = 2πr
C = 2π(8)C = 16π
The length of the ribbon that surrounds the edge of the circular hat is equal to the circumference of the circle. Therefore, the length of the ribbon is:16π ≈ 50.3 inches (to the nearest tenth)
Therefore, the length of the ribbon to the nearest tenth is 50.3 inches.
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how many possible number of facemask and face shield can an online seller could sell to get an amount of the least php2 000 based on the data above
in the past, students have scored an average of 83 points on the final exam in a statistics course. the professor thinks that this average has now gone higher. what statistical strategy would allow the professor to determine if he is correct? g
The statistical strategy that would allow the professor to determine if the average score on the final exam has gone higher is a hypothesis test. The professor can formulate a null hypothesis (H0) that the average score is still 83 and an alternative hypothesis (Ha) that the average score is greater than 83. Then the professor can collect a sample of final exam scores and calculate the sample mean.
The professor can use the sample mean and standard deviation to calculate a test statistic, which can be compared to a critical value or p-value to determine if the null hypothesis should be rejected or not.
Hypothesis testing is a commonly used statistical method to make decisions about a population based on a sample. In this case, the professor wants to determine if the average score on the final exam has increased or not. By setting up a hypothesis test, the professor can use the sample data to make an inference about the population. The null hypothesis assumes that there is no difference between the population mean and the previous average score of 83.
The alternative hypothesis assumes that the population mean has increased. By calculating a test statistic and comparing it to a critical value or p-value, the professor can make a decision to either reject or fail to reject the null hypothesis. If the null hypothesis is rejected, the professor can conclude that there is evidence to support the claim that the average score on the final exam has increased.
In the past, students have scored an average of 83 points on the final exam in a statistics course. The professor thinks that this average has now gone higher. What statistical strategy would allow the professor to determine if he is correct? Confidence interval Regression analysis Empirical rule Hypothesis test
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The statistical strategy that would allow the professor to determine if the average score on the final exam has gone higher is a hypothesis test. The professor can formulate a null hypothesis (H0) that the average score is still 83 and an alternative hypothesis (Ha) that the average score is greater than 83. Then the professor can collect a sample of final exam scores and calculate the sample mean.
The professor can use the sample mean and standard deviation to calculate a test statistic, which can be compared to a critical value or p-value to determine if the null hypothesis should be rejected or not.
Hypothesis testing is a commonly used statistical method to make decisions about a population based on a sample. In this case, the professor wants to determine if the average score on the final exam has increased or not. By setting up a hypothesis test, the professor can use the sample data to make an inference about the population. The null hypothesis assumes that there is no difference between the population mean and the previous average score of 83.
The alternative hypothesis assumes that the population mean has increased. By calculating a test statistic and comparing it to a critical value or p-value, the professor can make a decision to either reject or fail to reject the null hypothesis. If the null hypothesis is rejected, the professor can conclude that there is evidence to support the claim that the average score on the final exam has increased.
In the past, students have scored an average of 83 points on the final exam in a statistics course. The professor thinks that this average has now gone higher. What statistical strategy would allow the professor to determine if he is correct? Confidence interval Regression analysis Empirical rule Hypothesis test
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A solid rectangular box with height 4 m and square base with side lengths 4 m is built using a lightweight material whose density is 400 Constructing this box requires work against gravity. Recall that the gravitational constant is g = 9.85- The required work is 250880 J (include units in your answer). (If you are unable to figure this problem out, you will receive a hint after 3 tries) Hint: ****** kg m² (1 point) A solid cylinder with height 6 m and base with radius 1.5 m is built using a lightweight material whose density is 400 Constructing this cylinder requires work against gravity. Recall that the gravitational constant is g = 9.8m. The required work is (include units in your answer and write "pi" (without quotes] to enter ). (If you are unable to figure this problem out, you will receive a hint after 3 tries) kg m³
The formula for calculating the work required to lift an object against gravity is given by;W = mghWhere W is the work required, m is the mass of the object, g is the gravitational constant, and h is the height lifted.
For the solid rectangular box, the volume is given by;
\(V = lwh\)
Where l is the length, w is the width, and h is the height.The base is square,
so\(l = w = 4 m\)
Therefore,
\(V = lwh\\ = 4 × 4 × 4 \\= 64 m³\)
The mass of the box is given by;
\(ρ = m/V\\⇒ m = ρV = 400 × 64\\ = 25600\)
kg
The height lifted is 4 mThus, the work done against gravity is given by;\(W = mgh\\= 25600 × 9.8 × 4\\\\= 1003520 J\)
The required work is 1003520 JFor the solid cylinder, the volume is given by;
\(V = πr²h\)
where r is the radius of the base, h is the height of the cylinder Given;\(r = 1.5 mh = 6 \\Therefore,\\V = πr²h\\ = π(1.5)² × 6=\\ 42.4115 m³\)
The mass of the cylinder is given by;
\(ρ = m/V\\⇒ m = ρV \\= 400 × 42.4115\\ = 16964.6\) kg
The height lifted is 6 mThus, the work done against gravity is given by;\(W = mgh\\= 16964.6 × 9.8 × 6\\= 997929.36 J\)
(to 2 decimal places)The required work is 997929.36 J.
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The surface area of a cylinder is 1 m2. What could its radius and its height be?
Step-by-step explanation:
2.5m is the answer god bless you make me bfai list
The required height would be 2 meters in the given cylinder.
What is the surface area of a cylinder?A cylinder's surface area is defined as the amount of specific relevance by the horizontal plane of the cylinder's bases and the curved surface of the cylinder. The overall surface area of the cylinder includes the area of the cylinder's two circular bases as well as the area of the curving surface.
The surface area of the cylinder is: A = 2πr(r+h)
where 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
The surface area of a cylinder is 50.24 m² and its radius is 2 m.
⇒ A = 2πr(r+h)
Here A = 50.24 m² and r = 2 m
⇒ 50.24 = 2(3.14)(2)(2+h)
⇒ 50.24 = (12.56)(2+h)
⇒ 50.24 /(12.56) = (2+h)
⇒ 4 - 2 = h
Therefore, the required height would be 2 meters in the given cylinder.
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The question seems to be incomplete the correct question would be
The surface area of a cylinder is 50.24 m² and its radius is 2 m. What could its height be?
Sketch the region bounded by the curves, and visually estimate the location of the centroid. (do this on paper. Your instructor may ask you to turn in this work. ) then find the exact coordinates of the centroid. Y = ex y = 0, x = 0, x = 5
The centroid of the region enclosed by y = ex, y = 0, x = 0 and x = 5 is at the point ( (5e^5 - 5) / (e^5 - 1) , (e^10 - 1) / 2(e^5 - 1) ).
To find the centroid of a region, we need to first find the area of the region and the coordinates of the center of mass of the region.
The region enclosed by y = e^x, y = 0, x = 0 and x = 5 can be represented by the definite integral of the function y = ex between the limits of x = 0 and x = 5. The area of this region is given by the definite integral:
∫[0,5] e^x dx
The definite integral of ex is e^x, so the area of the region is e^5 - e^0 = e^5 - 1.
To find the x-coordinate of the centroid, we need to find the integral of
x e^x from 0 to 5, divided by the area.
= ∫[0,5] xe^x dx / (e^5 - 1)
The integral of xe^x is
= (xe^x - ∫e^x dx)
= (xe^x - e^x)
So the x-coordinate of the centroid is
= ∫[0,5] xe^x dx / (e^5 - 1)
= (4e^5 + 1) / (e^5 - 1)
To find the y-coordinate of the centroid we need to find the integral of
ye^x from 0 to 5, divided by the area.
∫[0,5] (e^x * e^x) dx / (e^5 - 1)
∫[0,5] (e^(2x)) dx / (e^5 - 1)
The integral of e^(2x) is (1/2)e^(2x)
So the y-coordinate of the centroid is
∫[0,5] e^(2x) dx / (e^5 - 1) = (1/2) * (e^10 - e^0) / (e^5 - 1)
= (1/2) * (e^10 - 1) / (e^5 - 1)
= (e^10 - 1) / 2(e^5 - 1)
So the centroid of the region enclosed by y = ex, y = 0, x = 0 and x = 5 is at the point ( (5e^5 - 5) / (e^5 - 1) , (e^10 - 1) / 2(e^5 - 1) ).
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A car is traveling down a highway at a constant speed, described by the equation d=65t, where d represents the distance, in miles, that the car travels at this speed in t hours. How long does it take the car to travel 26 miles at this speed? Represent your answer in MINUTES.
Answer:
It takes the car 24 minutes to travel 26 miles at this speed.
Step-by-step explanation:
To be able to find how long it takes the car to travel 26 miles at this speed, you have to replace the distance in the formula which is 26 miles and solve for t:
d=65t
26=65t
t=26/65
t=0.4
According to this, it takes the car 0.4 hours to travel 26 miles at this speed and to be able to provide the answer in minutes, you can use a rule of three given that 1 hour is equal to 60 minutes:
1 hour → 60 minutes
0.4 hours → x
x=(0.4*60)/1= 24 minutes
The answer is that it takes the car 24 minutes to travel 26 miles at this speed.
Alec made a scale drawing of a house. The dining room, which is 8 meters long in real
life, is 18 centimeters long in the drawing. What scale did Alec use?
Which of the following factors does NOT control the stability of a slope?
the angle of repose for intact bedrock
whether the slope is rock or soil
the amount of water in the soil
the orientation of fractures, cleavage, and bedding
The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.
Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.
The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.
To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.
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Volume Of This Prism
Answer:
look at the photo i have sent
the time necessary to complete an examination has a mean of 45 minutes and a standard deviation of 15 minutes. the average time necessary for 100 randomly selected students is computed. the probability the sample mean time necessary to complete the examination is less than 47.5 minutes equals approximately:
The likelihood that the sample mean time required to finish the exam will be less than 47.5 minutes is 0.566.
Given;
The average amount of time needed to finish an exam is 45 minutes, with a standard deviation of 15 minutes. The average amount of time required for 100 randomly chosen pupils is calculated.
Mean (μ) = 45
Standard deviation (σ) = 15
Here, σ/√n = 15/√100
= 1.5
To get the probability the sample mean time necessary to complete the examination is less than 47.5 minutes, we need;
P (x < 47.5) = P(z < (x-μ /σ/√n ) )
= P(z < 47.5 - 45/1.5)
= P(z < 17.5)
= 0.566
The probability the sample mean time necessary to complete the examination is less than 47.5 minutes is 0.566
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Jackson received a paycheck with a salary of $4,200. The check included a deduction of $725 for taxes, $215 in benefits paid by the employee, and $375 in employer-paid benefits. What is Jackson’s net pay after all deductions?
a. $3,260
b. $2,885
c. $4,065
d. $3,475
Answer:
the answer is c
Step-by-step explanation:
4,200-725+215+375=4,065
Jackson's net pay after all deductions is $2,885.
Here,
Jackson received a paycheck with a salary of $4,200.
The check included a deduction of $725 for taxes, $215 in benefits paid by the employee and $375 in employer - paid benefits.
What is Net pay?
Net pay is the amount one receives after taxes and deductions have been withheld during a pay period.
Now,
Total deduction = $725 + $215 + $375 = $1,315
Hence, Net pay after all deductions = $ 4,200 - $1,315
= $ 2,885
So, Jackson's net pay after all deductions is $2,885.
Hence, Option b is true.
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What is the equation of this graph?
Answer:
y=-1x+-1
Step-by-step explanation:
the line is on the -1 on the x axis and the y axis
Need help fast!!! And with all the other problems
Based on the properties of rectangles, the angles and the side lengths are KN = 11 and NLK = 32
How to determine the angles and the side lengthFrom the question, we have the following parameters that can be used in our computation:
JN = 2x + 7, LN = 6x - 1
NKJ = 58 degrees
The diagonals or a rectangle are equal
So, we have
2x + 7 = 6x - 1
Evaluate the like terms
4x = 8
Divide
x = 2
So, we have
KN = 2 * 2 + 7
KN = 11
Adjacent angles in this case add up to 90 degrees
This gives
NLK = 90 - 58
Evaluate
NLK = 32
Hence, the measure of the angle is 32 degrees
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