3/2.
Y = 1.5x - 5.5
Is the answer
1.5 is the slope
-5.5 is the Y intercept
Rewrite the following expression using the Distributive Property. 5(2x -8)
A. -30x
B. 10x -40
C. 10x + 40
D. 10x -8
I think it is either B or C but I'm not sure.
Answer:
B. 10x -40
Step-by-step explanation:
To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.
If she will buy 35 T-shirts, 45 pairs of shorts, and 25 windbreakers, what will be her total cost?
$958.75
$973.75
$1,021.25
$1,038.75
Answer:
\(Total\ Cost = \$973.75\)
Step-by-step explanation:
Given (Missing part of question)
T-shirts = $7.50
Shorts = $9.00
Windbreakers = $12.25
Required
Determine the total cost
Total Cost is calculated as follows;
\(Total\ Cost = Costs\ of\ T-Shirts + Costs\ of\ Shorts + Costs\ of\ Windbreakers\)
\(Total\ Cost = 35 * \$7.5 + 45 * \$9.00 + 25 * \$12.25\)
\(Total\ Cost = \$262.5 + \$405.00 + \$306.25\)
\(Total\ Cost = \$973.75\)
Answer:
Step-by-step explanation:
Determine the total cost
973.75
Total Cost is calculated as follows. Determine the total cost
Total Cost is calculated as follows.
The automatic opening device of a military cargo parachute has been designed to open when the parachute is 185 m above the ground. Suppose opening altitude actually has a normal distribution with mean value 185 and standard deviation 32 m. Equipment damage will occur if the parachute opens at an altitude of less than 100 m. What is the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes
Answer:
0.0193 = 1.93% probability that there is equipment damage to the payload of at least one of five independently dropped parachutes.
Step-by-step explanation:
For each parachute, there are only two possible outcomes. Either there is damage, or there is not. The probability of there being damage on a parachute is independent of any other parachute, which means that the binomial probability distribution is used to solve this question.
To find the probability of damage on a parachute, the normal distribution is used.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Probability of a parachute having damage.
The opening altitude actually has a normal distribution with mean value 185 and standard deviation 32 m, which means that \(\mu = 185, \sigma = 32\)
Equipment damage will occur if the parachute opens at an altitude of less than 100 m, which means that the probability of damage is the p-value of Z when X = 100. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{100 - 185}{32}\)
\(Z = -2.66\)
\(Z = -2.66\) has a p-value of 0.0039.
What is the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes?
0.0039 probability of a parachute having damage, which means that \(p = 0.0039\)
5 parachutes, which means that \(n = 5\)
This probability is:
\(P(X \geq 1) = 1 - P(X = 0)\)
In which
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{5,0}.(0.0039)^{0}.(0.9961)^{5} = 0.9807\)
Then
\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.9807 = 0.0193\)
0.0193 = 1.93% probability that there is equipment damage to the payload of at least one of five independently dropped parachutes.
0.3/10 as a decimal
plz help
Answer:
0.30
Step-by-step explanation:
The 0 goes in the tenths place because it was 0.3/10 I hope this helps at all:)
Answer:
0.03
Step-by-step explanation:
Austin is running. The number of calories he has burned varies directly with the number of minutes he has run. See the graph below. 400 350+ 300 250 + Calories burned 200+ 150 100+ 50+ 0 20 10 30 80 Number of minutes
a) how many minutes does austin run per calories burned?
b) what is the slope of the graph?
Answer:
223454353.000000000000000000
Step-by-step explanation:
A refrigeration system of 60 kW capacity at an evaporator temperature of – 40°C and a condenser temperature of 20°C is needed in a food storage locker. The refrigerant R134a is sub-cooled by 10°C before entering the expansion valve. The vapour is 0.98 dry as it leaves the evaporator coil. The compression in the compressor is of adiabatic type.
The tickets for the field trip were purchased yesterday for both students and instructors. Children tickets cost $9, adult tickets cost $11. The number of children tickets purchased was three more than ten times the number of adults tickets purchased. How many of each were purchased if all of the tickets cost a total of $936 dollars?
The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."
According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.
The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:
9c + 11a = 936
Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:
c = 10a + 3
We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:
9(10a + 3) + 11a = 936
90a + 27 + 11a = 936
101a = 936 - 27
101a = 909
a = 909 / 101
a = 9
Substituting this value back into the second equation, we find:
c = 10(9) + 3
c = 90 + 3
c = 93.
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URGENT GEOMETRY!!! can someone help me with this please
Answer:
To find the angle of this triangle you have to \(cos^{-1}(\frac{4.87}{5.35})\). When you do this you will get 24 as the angle
Step-by-step explanation:
Hope this Helped
What is the slope of the line graphed below?
Answer:
2/3
Step-by-step explanation:
rise over run
Find the surface area of the pyramid.
A drawing of a square pyramid. The length of the base is 4.5 meters. The height of each triangular face is 6 meters.
The surface area of the pyramid is 74.25 square meters.
What is surface area?Surface area is the total area that the surface of an object occupies. It is the sum of the areas of all the faces, sides, and curved surfaces of an object. Surface area is usually measured in square units, such as square meters, square feet, or square centimeters.
What is pyramid?A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex (known as the apex). Pyramids are named according to the shape of their base.
In the given question,
The area of the base is simply the area of a square, which is:
Area of base = length x width = 4.5m x 4.5m = 20.25 square meters
To find the area of each triangular face, we first need to find the length of the slant height (the height of the triangle).
We can use the Pythagorean theorem to do this:
h²= (1/2 x base)² + height²
h² = (1/2 x 4.5)² + 6²
h² = 2.25 + 36
h² = 38.25
h = √38.25
h = 6.18 meters (rounded to two decimal places)
Now that we know the slant height, we can find the area of each triangular face:
Area of one triangular face = (1/2 x base x height) = (1/2 x 4.5 x 6) = 13.5 square meters
Since there are four triangular faces on a square pyramid, we need to multiply this by 4 to find the total area of the triangular faces:
Total area of triangular faces = 4 x 13.5 = 54 square meters
Finally, we can find the surface area of the pyramid by adding the area of the base and the area of the triangular faces:
Surface area = Area of base + Total area of triangular faces
Surface area = 20.25 + 54
Surface area = 74.25 square meters
Therefore, the surface area of the pyramid is 74.25 square meters.
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Swaty plz help me
Help
Answer:
# 1: 1/3 of the time.
# 2: 1/15
Step-by-step explanation:
#1: This is because since the dice is being tossed 1 time, that would mean that there is only a 2 in 6 chance to roll a number under 3.
#2: look at the picture attached.
wyatt has x nickels and y dimes. he has no more than 11 coins worth no less than $0.80 combined. solve this system of inequalities qraphically and determine one possible solution.
Answer:
x=6; y=5
Step-by-step explanation:
5x+10y=.8
x+y=11
Wyatt has 6 nickels and 5 dimes.
Given that Wyatt has X nickels and Y dimes, and he has no more than 11 coins worth no less than $ 0.80 combined, to determine one possible solution the following calculation must be performed:
11 x 0.10 = 1.10 1.10 - 0.80 = 0.30 0.30 / 0.05 = 6 11 - 6 = 5 6 x 0.05 + 5 x 0.10 = 0.80
Therefore, Wyatt has 6 nickels and 5 dimes.
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What’s the correct answer for this question?
Answer:
PQ = 6
Step-by-step explanation:
Using tangent-secant theorem,
(PQ)² = (PR)(PS)
(PQ)² = (4)(9)
(PQ)² = 36
Taking square root on both sides, we get
PQ = 6
A school bought $548 in basketball equipment and uniforms costing $29.50 each. The total cost was $2,023. Write an equation you can use to find the number of uniforms the school purchased.
(a) what would the variable (x) represent in this problem?
(1) the cost of the uniforms
(2) the number of basketballs purchased
(3) The number of uniforms purchased
(b) what is the total cost of the equipment and uniforms? |____________| (no symbols)
(c) write an equation to represent this problem. use x as your variable. |___________|
Answer:
Step-by-step explanation:
which relationship shows an inverse variation
An example of inverse variation is y = 3/x .
What is Inverse Variation ?
Unlike the direct variation, where one quantity varies directly as per changes in another quantity, in the case of inverse variation, the first quantity varies inversely as per another quantity. Hence, the first quantity is inversely proportional to the other.
Let us say, x and y are two variables, then as per inverse variation:
y = k/x
or
xy = k
For example :
If x and y are in an inverse variation and k/3 = 2, and k/x = 3, then find the value of x when y = 2.
Given, k/3 = 2
then, k = 3 x 2 = 6
k/x = 3
So, x = k/3 = 6/3 = 2
Hence, if y = 2, then ;
x = k/y = 6/2 = 3
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The coordinates of the point � G are ( 0 , 8 ) (0,8) and the coordinates of point � H are ( 8 , 8 ) . (8,8). What is the distance, in units, between the point � G and point � ? H?
The distance between the points G and H is D = 8 units
Given data ,
Let the distance between 2 points be represented as D
Now , let the first point be G ( 0 , 8 )
Let the second point be H ( 8 , 8 )
Now , let the distance between G and H be D , where
D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
D = √ ( 0 - 8 )² + ( 8 - 8 )²
D = √64 units
D = 8 units
Hence , the distance is 8 units
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Need help with this question please !!!
Answer: 27
Step-by-step explanation:
Find the missing side lengths. Leave your answers and radicals in the simplest form.
Answer:
u = 12;
v = 6
Step-by-step explanation:
Use trigonometry:
\( \tan(60°) = \frac{6 \sqrt{3} }{v} \)
Use the property of proportion to find v:
\(v = \frac{6 \sqrt{3} }{ \tan(60°) } = \frac{6 \sqrt{3} }{ \sqrt{3} } = 6\)
Use the Pythagorean theorem to find u:
\( {u}^{2} = {v}^{2} + ( {6 \sqrt{3}) }^{2} \)
\( {u}^{2} = {6}^{2} + ( {6 \sqrt{3}) }^{2} = 36 + 36 \times 3 = 36 + 108 = 144\)
\(u > 0\)
\(u = \sqrt{144} = 12\)
What quadrant is the point (-4, 3)? So I could at least get 10 points
Answer:
Step-by-step explanation:
quadrant 2 ( or if its asking for a letter B)
I dont know how to get the correct answer
Answer:
\(42a^{2}\)
Step-by-step explanation:
Split them into sections!
First, \(3a\) x \(5a\) = \(15a^{2}\)
Next, \((3a+3a+3a)(3a)\) = \(9a\) x \(3a\) = \(27a^{2}\)
Add \(15a^{2}\) and \(27a^{2}\) to get \(42a^{2}\)
Hope I helped!
There are 5 white balls, 8 red balls, 7 yellow balls and 4 green balls in a container. A ball is chosen at random. What is the probability of choosing neither white nor green
Answer: 5/8
Step-by-step explanation:
i just added all of them & took out the white and green balls ......... oh and i also simplified itAnswer:
The probability is 5/8
Step-by-step explanation:
First, we must add all the numbers together. 5 + 8 + 7 + 4 = 24. Now, let's add the white balls and green balls. 5 + 4 = 9. Therefore, the probability of choosing a white or green ball is 9/24 which also equals 3/8. To find out the probability of NOT choosing white or green, we must subtract 9 from 24. 24 - 9 = 15. So, the probability of choosing neither the white or green balls equals 15/24 which also equals 5/8.
Hope this helps!!
radical form of a^2/5
help please
Answer:
The answer is ⁵√a²
Step-by-step explanation:
a⅖=⁵√a²
Evaluate the expression, writing the result as a simplified complex number.
To earn full credit be sure to show all steps and calculations. You may wish to do the work on paper and submit an image of that written work.
\frac{(2+i)(4-2i)}{1+i}
The simplified expression involving complex numbers is given as follows:
5 + 5i.
What are complex numbers?Complex numbers are number that have a real and an imaginary part, and are defined as follows:
z = a + bi.
In which:
a is the real part.b is the imaginary part.The basic relation of complex numbers is given as follows:
i² = -1.
The fraction for this problem is given as follows:
(2 + i)(4 - 2i)/(1 + i).
The numerator is simplified as follows:
(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.
Hence the fraction is of:
10/(1 + i).
To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:
10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.
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Solving by Factoring
Please explain in detail the strategy, Solving by Factoring, discussed in the lesson Quadratic in Form Polynomials. Include an example with this explanation to clearly explain the process.
Answer:
Step-by-step explanation:
Solving by factoring is a strategy for solving a polynomial equation that is in quadratic form. Quadratic form means that the equation is of the form ax^2+bx+c=0, where a,b, and c are real numbers. When factoring, the goal is to express the equation as the product of two simpler equations. To do this, we must factor the quadratic equation into two linear equations, each with a single variable.
For example, consider the equation x^2+3x-4=0. To factor this equation, we can first rewrite it as (x+4)(x-1)=0. This is the same as x+4=0 and x-1=0. We can then solve each of these linear equations to find the solutions. In this case, the solutions are x=-4 and x=1.
Therefore, the strategy of solving by factoring is to rewrite a polynomial equation in quadratic form as the product of two simpler equations, and then solve each of these equations. The solutions to the original equation can then be found by solving each of the linear equations.
Solve the inequality and describe the solution set
12x = 36, WRONG LOOK AT THE PICTURE THAT I PUT.
Find the values of a and b such that 4x^2+12x=4(x+p)^2-q
Answer: p = 1.5 and q = 9
Step-by-step explanation:
Expand the right side then compare the coefficients of like terms on both sides, that is
4(x + p)² - q ← expand (x + p)² using FOIL
= 4(x² + 2px + p²) - q ← distribute parenthesis
= 4x² + 8px + 4p² - q
Comparing coefficients of like terms on both sides
8p = 12 ( coefficients of x- terms ) ← divide both sides by 8
p = 1.5
4p² - q = 0 ( constant terms ), that is
4(1.5)² - q = 0
9 - q = 0 ( subtract 9 from both sides )
- q = - 9 ( multiply both sides by - 1 )
q = 9
Responde las preguntas 10 y 11 con base al siguiente gráfico. A 10. ¿Cuáles son los nombres de los ángulos de color azul y rojo respectivamente? A. Obtuso y llano. B. Llano y obtuso. C. Obtuso y agudo. D. Agudo y llano. 11. ¿Cuáles son los colores de un ángulo agudo y uno recto respectivamente? A. Naranja y verde. B. Morado y rojo. C. Morado y naranja. D. Verde y naranja. firmaciones ac
Answer:
10) Los ángulos en azul y rojo son llano y obtuso, respectivamente. (Respuesta: B)
11) Los ángulos agudo y recto están diferenciados por los colores morado y naranja, respectivamente. (Respuesta: C)
Step-by-step explanation:
Basándonos estrictamente en lo descrito en la figura, tenemos la siguiente clasificación por colores:
Agudo - Morado.
Plano o Recto - Naranja.
Obtuso - Rojo.
Llano - Azul.
Completo - Negro.
A continuación, se consigna las respuestas en forma de oración:
10) Los ángulos en azul y rojo son llano y obtuso, respectivamente. (Respuesta: B)
11) Los ángulos agudo y recto están diferenciados por los colores morado y naranja, respectivamente. (Respuesta: C)
Ron's Car Rental Company charges a set fee for renting a car and an additional amount per mile driven. Frank has rented from Ron's three times and his charges are shown in the table below. How much does Ron charge per mile driven?
Answer:
22 cents per mile
Step-by-step explanation:
to get this answer, divide 17.60 by 4 to get the unit rate, or the rate when x=1.
Consider a game in which a player rolls one die. If an even number comes up, the player wins the number of dollars showing on the die. If an odd number comes up, the player loses the number of dollars showing on the die. Calculate the expected value for this game. Is the game fair? (Assume that there is no cost to play the game.)
Answer:
Yes
Step-by-step explanation:
Winning numbers: 2, 4, 6
Losing numbers: 1, 3, 5
The even numbers are greater.
The average even (winning) number is 4.
The average odd (losing) number is 3.
You can win half a dollar on average.
Equation: (1/6)(-1)+(1/6)(2)+(1/6)(-3)+(1/6)(4)+(1/6)(-5)+1/6(6) = 0.5
Is this statement true ?
The price of tuition has quadrupled since my parents went to school that's a 300% increase in price.
Answer:
no
Step-by-step explanation:
quadruple means by 4, so it would be 400%
A rectangular picture is twice as long as it is wide. If the
area of the picture is 288 in^2, what are its dimensions?
The dimensions of the picture are_____ in long by_____ in wide.
Answer:
24 in long by 12 in wide.
Step-by-step explanation:
l=2w
288=(2w)×w
288=2w^2
144=w^2
12=w
width is 12 inches. Plug that in to find length...
l=2×12
l=24