Answer:
$4,316
Step-by-step explanation:
Semester one: $166 per credit times 13 hours = $2,158
Semester two: $166 per credit times 13 hours = $2,158
Cost for semester one plus semester two = $4,316
Marcus is throwing a party, he is expecting 150 guests at the party. the cost per person for food is $30 dollars. how much money does marcus need to pay for food?
Answer: 4500
Step-by-step explanation:
(08.07 HC)
An expression is shown below:
f(x) = 2x² - x - 10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the
coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers
obtained in Part A and Part B to draw the graph. (5 points)
(10 points)
Answer:
[tex]\textsf{A)} \quad x=-2, \:\:x=\dfrac{5}{2}[/tex]
[tex]\textsf{B)} \quad \left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)[/tex]
C) See attachment.
Step-by-step explanation:
Given function:
[tex]f(x)=2x^2-x-10[/tex]
Part ATo factor a quadratic in the form [tex]ax^2+bx+c[/tex] , find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex] :
[tex]\implies ac=2 \cdot -10=-20[/tex]
[tex]\implies b=-1[/tex]
Therefore, the two numbers are -5 and 4.
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies f(x)=2x^2-5x+4x-10[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies f(x)=x(2x-5)+2(2x-5)[/tex]
Factor out the common term (2x - 5):
[tex]\implies f(x)=(x+2)(2x-5)[/tex]
The x-intercepts are when the curve crosses the x-axis, so when y = 0:
[tex]\implies (x+2)(2x-5)=0[/tex]
Therefore:
[tex]\implies (x+2)=0 \implies x=-2[/tex]
[tex]\implies (2x-5)=0 \implies x=\dfrac{5}{2}[/tex]
So the x-intercepts are:
[tex]x=-2, \:\:x=\dfrac{5}{2}[/tex]
Part B
The x-value of the vertex is:
[tex]\implies x=\dfrac{-b}{2a}[/tex]
Therefore, the x-value of the vertex of the given function is:
[tex]\implies x=\dfrac{-(-1)}{2(2)}=\dfrac{1}{4}[/tex]
To find the y-value of the vertex, substitute the found value of x into the function:
[tex]\implies f\left(\dfrac{1}{4}\right)=2\left(\dfrac{1}{4}\right)^2-\left(\dfrac{1}{4}\right)-10=-\dfrac{81}{8}[/tex]
Therefore, the vertex of the function is:
[tex]\left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)[/tex]
Part CPlot the x-intercepts found in Part A.
Plot the vertex found in Part B.
As the leading coefficient of the function is positive, the parabola will open upwards. This is confirmed as the vertex is a minimum point.
The axis of symmetry is the x-value of the vertex. Draw a line at x = ¹/₄ and use this to ensure the drawing of the parabola is symmetrical.
Draw a upwards opening parabola that has a minimum point at the vertex and that passes through the x-intercepts (see attachment).
Find the value of x in the triangle shown below.
Answer:
Thus, the value of x in the given triangle is 55°
Step-by-step explanation:
Given - Dimensions of triangle and angles
of triangle
Find - Value of x
Solution - The value of x in the given triangle is 55°.
As per the given dimensions of the triangle, the triangle is isosceles. This states that the neighbouring angle will be x° as well.
Thus, the mathematical expression of all the angles of a given triangle will be -
x + x + 80 = 190
2x + 80 = 190
2x = 190 - 80
2x = 110
x = 110/2
x = 55°
.
Which of the following is equivalent to (3a + 5b) + 7c?
3a + (5b + 7c)
3a(5b + 7c)
7c(5b + 3a)
8ab + 7c
Answer:
3a + (5b + 7c)
Step-by-step explanation:
The answer cannot be 3a(5b +7c) because when the number is immediately before the brackets, it signifies multiplication. therefore the 3a(5b+7c) would be equivalent to 15ab+21ac
the answer cant be 7c(5b+3a) because of the same explanation as the one above, therefore 7c(5b+3a) would be equivalent to 35cb+21ca
the answer finally cant be 8ab+7c because it means that one added 3a and 5b giving you 8 but it cannot be ab because ab is equivalent to a×b, hence, one cant put a multiplied algebraic expression with an added number
The equation equivalent to the the expression (3a + 5b) + 7c is 3a + (5b+7c). Hence, the first option is the correct one.
What is an expression?In mathematics, expressions are assertions that must contain at least two words with variables or terms with numbers in them, or both, and connect them with an operator. It is possible for the mathematical operators to be addition, subtraction, multiplication, or division.
For instance, the equation x + y has the terms x and y with an addition operator in between. Numerical expressions, which just contain numbers, and algebraic expressions, which also include variables, are the two types of expressions used in mathematics.
The first option is correct because it does not affect the main equation rest are not the same as the equation.
For example, let's take the second equation :
3a (5b + 7C)
After solving this option we get 15ab + 21 ac so it is incorrect because it changed the main expression.
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Why is nobody ANSWERING ME PLS MAth HELPPPPPP 12 points
Answer:
Step-by-step explanation:
Lets see here, this question is a bit confusing to understand, But Ill work at it for you ^^
So at that first line that says ones, you are going to want the middle lint horizontal on that vertical line to be labeled 5.
Slightly above that, more near to the top you are going to want to write 85.
On the second Line drawn you are going to want to label the middle horizontal line 4
Above that, near the top write 854
The rounded number of 8.546 Would Be 9, Because since the tens place is a 5, you round up a number.
for question 3. a
the answer would be 18.4 if you round to the tenths, or 18.39
This is because the number in the thousands place is a 6, and thats 5 or above so you round the hundreths up 1 to become 9, and 9 is 5 or above so the 3 would become a 4(only if rounding to the tenths!!)
For question 3. b
1 meter = 100 centimeters, so we would multiply 18.386 by 100
That would shift the decimal point to the right 2 places (if you don't want to have to do the multiplying, rule of thumb is one 0 shifts one place to the right, you shift however many places as there are zeroes)
This would give us 1838.6 centimeters.
And I cant read question 4(sorry)
Hope this helps!!
can someone help? i think its false but is cos to the negative one the same as sec?
Answer:
True
Step-by-step explanation:
Cos^-1 = 1/ cos = sec x
Answer: True
Step-by-step explanation:
When the cos(ine) function is raised to the negative first power, we find the reciprocal. This will be the case for most functions and numbers.
Two spheres (m = 3 g) on long threads repel each other after being equally charged. what is the charge q?
The charge q is ±7.46 × 10⁻⁷C.
Electrostatic Force, Coulomb's Law:The electrostatic force is a type of force that only charged objects experience. The term electrostatic is made up of two parts: 'electro,' which refers to electricity, and static,' which means stationary. As a result, an electrostatic force exists between any two fixed charges.The electrostatic force is attractive when the two charges have opposite charges and repulsive when they have the same charge.Coulomb's Law is used to calculate the strength of the electrostatic force between two points and stationary objects. The electrostatic force between two points and stationary charges is directly proportionate to the product of both charges and inversely proportional to the square of the distance between the charges, according to Coulomb's Law.
Give:
The mass of each charge, m = 3.0 g = 3 × 10⁻³ kgThe length of each thread, l = 1.0 mThe two charges are equal, q₁ = q₂ = qTake a look at the charge on the left. The following forces are at work in response to this charge:
The tension of the thread, TThe gravitational force, W = mg where m is the mass and g = 9.8 m/s² is the acceleration due to gravity.The electrostatic force, F due to the charge of the right.(Refer to the diagram below)
Because the charge is in equilibrium, the charge's vertical and horizontal forces must be zero.
We have the following in the vertical direction:
[tex]\begin{aligned}T \cos 20^{\circ} &=W \\\Rightarrow T &=\frac{m g}{\cos 20^{\circ}} \\&=\frac{3.0 \times 10^{-3} \mathrm{~kg} \times 9.8 \mathrm{~m} / \mathrm{s}^2}{\cos 20^{\circ}} \\&=3.13 \times 10^{-2} \mathrm{~N}\end{aligned}[/tex]
Coulomb's Law states that the electrostatic force between two point charges, q₁, and q₂, separated by r is given by the equation:
[tex]\begin{aligned}F &=\frac{q_1 q_2}{4 \pi \epsilon_0 r^2} \\&=\frac{K q_1 q_2}{r^2}\end{aligned}[/tex]
Here,
The distance between the charges is r.The permittivity of free space is [tex]\epsilon_0[/tex].Coulomb's Constant is K = 9 × 10⁹ N.m²/C².Using trigonometric personalities, the distance between any two charges is:
[tex]\begin{aligned}r &=2 l \sin 20^{\circ} \\&=2 \times 1.0 \mathrm{~m} \times 0.342 \\&=0.684 \mathrm{~m}\end{aligned}[/tex]
We have the following in the vertical direction:
[tex]\begin{aligned}F_e &=T \sin 20^{\circ} \\\Rightarrow \frac{K q_1 q_2}{r^2} &=T \sin 20^{\circ} \\\Rightarrow \frac{K q^2}{r^2} &=T \sin 20^{\circ} \\\Rightarrow q^2 &=\frac{r^2 T \sin 20^{\circ}}{K} \\&=\frac{(0.684 \mathrm{~m})^2 \times 3.13 \times 10^{-2} \mathrm{~N} \times \sin 20^{\circ}}{9 \times 10^9 \mathrm{~N} \cdot \mathrm{m}^2 / \mathrm{C}^2} \\&=55.65 \times 10^{-14} \mathrm{C}^2 \\\Rightarrow q &=\pm 7.46 \times 10^{-7} \mathrm{C}\end{aligned}[/tex]
Therefore, the charge q is ±7.46 × 10⁻⁷C.
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The correct question is given below:
Two 3.0g point charges on 1.0m - long threads repel each other after being equally charged, as shown in the figure. What is the charge q?
How can this be done?
Answer:
267.948
Step-by-step explanation:
But looking at the question, it wants us to convert feet to kilometers and seconds to hours. First let's start with feet, 1 foot is equal to about .305 meters. Okay we can set up an equation to find out what we should do so since its asking us to convert 245 feet into meters. We need to put the units in it for this. We need to get rid of the feet and replace it with meters. The only way to get rid of the feet is dividing it by feet. However, we are also trying to put it into meters. As I wrote earlier, 1 foot is equal to .305m so we can just plug it in. The ft cancel out and all we need to do is just multiply. Since 1 feet is .305 meters, we can just multiply 245 by .305 to get 245 feet in meters. It would be about 74.73. Okay, we have it in meters, but it is asking for kilometers. We need to do the same process again. We should remember that 1000 meter are in 1 kilometer. We need to convert the meters into kilometers then seconds into hours. We can use the same process here. The unit you are cancelling out always has to be on the bottom. Okay, that just leaves 74.43 x (1/1000), or it can be just 74.43/1000 and both are the same thing. You're trying to get feet into kilometers, so the number should be pretty small. There are 1000 meters in 1 kilometer, so you need to divide the meters by 1000 to put it into kilometers. That's basically what we are doing here but with units. That comes out to be .07443, not our final answer though. We just need to convert seconds to hours which is easy. We know that 60 seconds is in a minute and 60 minutes are in the hour. Now we just need to multiply these 2 together. 60 x 60 = 3,600. If we look at the question its saying kilometers per hour. So we have to divide the kilometers by the 3600. 3600 seconds is equal to 1 hour and .07443 km is still in per second since we didn't change it. 3600 has to be on top because we have to cancel out the units. This is why I put the units. Okay that just leaves .07443 x 3600. When we solve .07443 x 3600 we would get our final answer. (Remember the steps: we first converted feet into meters, then into kilometers. then we converted seconds into hours)
.07443 x 3600 = 267.948 Therefore our final answer is 267.948.
Can someone give me the answer of D??
Answer:
Corrected - didn't see the 10 to the negative 2 in the denominator at first - sorry)
8000
Step-by-step explanation:
Simplify
5.12 x 10 ^6/ 1.6 X 10 ^5 X (.4 X 10^-2)
Do the math
3.2 x 10/.04 x 1- ^-2)
Simplify
8 X 10^3
Simplify
8000
Solve the inequality.
3w-5>2w+w-7
1. w-2
2. All real numbers
3. No solution
4. w-2
Answer:
2. All real numbers
Step-by-step explanation:
Hope this helps!
Please mark as brainliest if correct!
Without simplifying the expression, determine weather [tex]\frac{1}{50}[/tex] - [tex]\frac{1}{51}[/tex] is a positive or a negative number.
Round 452,906 to the nearest hundred.
Answer : 500,000 450,000 453,000 452,900 452,910 step-by-step explanation:
look to the right one digit of the place they are asking to round . if it is either greater than or equal to5, then you round up the place they want. if it is not, then it says the same. then all he number to right of it becomes 0s.
Three blocks are shown:
Block A
7 cm
3 kg
1 cm
3 cm
Which statement is correct?
Block B
7 cm
4 kg
111 cm
3 cm
Block C
1 cm
2 kg
7 cm
3 cm
Answer:the answer is 4 kg
Step-by-step explanation:
i can¡ explane u i see the rpta
Julie had $237 to spend. She returned a calculator and received a $128 refund. She then bought a chair for $62. How much money in dollars and cents did Julie have to spend after buying the chair?
Answer:
$303 0cents
Step-by-step explanation:
237 + 128 -62 = 303
The amount Julie has to spend after buying the chair is $303.
What is Arithmetic?The mathematical branch known as arithmetic deals with the study and application of numbers, their relationships, and mathematical observations.
As per the given data:
We are given the details of the transactions that Julie did.
We have to find out the remaining amount of money that is left with Julie after the transactions.
Initial amount that Julie had to spend (A) = $237
Amount received as a refund after returning that calculator (B) = $128
Price that had to be paid to buy a chair (C) = $62
For finding out money in dollars and cents did Julie have to spend after buying the chair:
= A + B - C
= 237 + 128 - 62
= 365 - 62
= 303
The amount Julie has to spend after buying the chair is $303.
Hence, The amount Julie has to spend after buying the chair is $303.
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Graph the inequality x+1>5.
To graph an inequality, select the correct type of ray and then select the correct endpoint on the number line.
Answer:
x>5_1 =4ans answer is these
In order to figure out who will go first in a game, your friend asks
pick a number between 1 and 25.
you to
a.
What are the possible outcomes?
Answer:
Step-by-step explanation:
There are 25 numbers between and including 1-25, so there are 25 possibilities. The possible outcomes are:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25
If 1 can of ketchup contains 13 cups, how many are there in 3.5 cans
Answer:19.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer: 45.5
Step 1: 13 cups x 3.5 can = 45.5 cups
Revenue management methodology was originally developed for the banking industry. group of answer choices
a. true
b. false
The statement 'Revenue management methodology was originally developed for the banking industry.' is False.
The revenue Management is an analytics technique.
This technique is used to predict consumer behavior at the micro-level, which is ultimately useful in optimizing the product availability and pricing and maximize revenue growth.
This methodology is used by companies in certain industries, particularly those with fixed costs and capacity and products or services that expire.
It is the operational procedures and practices that maximize revenues without creating additional products or services.
Therefore, The statement 'Revenue management methodology was originally developed for the banking industry.' is False.
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Baton Twirling
Jill is a drum major for the Altadena High School marching band.For the finale of the halftime performance, Jill tosses her baton in the air so that it reaches a maximum height of 22 feet. This gives her 2 seconds to twirl around twice and catch the baton when it comes back down.
•independent quantity:
•Dependent quantity:
The independent quantity is the height of the baton and the dependent quantity is the seconds she has to twirl.
What is an independent and dependent variable?The independent variable is the variable that the person carrying out an activity can change or manipulate. It is the independent quantity that determines the dependent quantity.
The dependent variable is the variable that is being measured in an experiment. The dependent quantity is usually affected by the independent quantity.
In this question, the height of the baton determines the time she has to twirl. The higher the baton goes, the longer the time she has to twirl. This makes the height of the baton the independent quantity and the time she has to twirl the dependent quantity.
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The function h(x) = x^2 - x - 2 / x^2 - x - 6 has a vertical asymptote at x =
A. 6
B. 3
C. -2
D. -1 and 2
E. -2 and 3
Answer:
The function h(x) =x^2-x-2/ x^2-x-6=
E.-2 and 3
If 6 people evenly share 3/4 of cake, what fraction of the whole cake does each person gets?
Answer:
1/8
Step-by-step explanation:
(3/4)÷6
3/24
1/8
A new decreased by 16 is equal to the number times 18
Answer:
Whats 'new'?
Step-by-step explanation:
21 ice cream cones are sold at $4.02 each.
What is the total cost of these items?
Answer:
84.42
Step-by-step explanation:
21 times 4.02
= 84.42
Answer: $84.42
Step-by-step explanation:21x 4.02
*PLS HELP*
A student is given the rectangle and the square shown. The student states that the two figures have the
same perimeter. Is the student correct? Complete the explanation to explain your reasoning.
X+4
X
X+2
X+2
The student is (select) The perimeter of a figure is found by (select)
For the rectangle, the perimeter is
. For the square, the perimeter
is
the lengths of its sides.
Answer:
The student is correct. The perimeter of a figure is found by adding the length of it's sides. For the rectangle, the perimeter is 4x+8. For the square, the perimeter is 4x+8
Step-by-step explanation:
Perimeter for rectangle:
2(x+4) + 2x
2x + 8 + 2x
4x + 8
Perimeter for the square:
4(x+2)
4x + 8
Trinity Rubidoux
Angle Terminology with Equations
Sep 19, 3:36:40 PM
?
ZA and ZB are vertical angles. If mA = (5x +24)° and m/B= (6x - 5)°,
then find the measure of ZB.
The measure of ∠B = 189°
Here it is given that
∠A = (5x + 24)° and ∠B = (6x - 5)°
∠A and ∠B are vertical angles
Since vertical angles are always equal so
∠A = ∠B
5x + 24 = 6x - 5
add +5 on both sides, we get
5x + 24 + 5 = 6x - 5 + 5
5x + 29 = 6x
add -5x on both side, we get
5x - 5x + 29 = 6x - 5x
x = 29
Now put the value of x in 6x - 5
6 × 29 - 5 = 189
The measure of ∠B = 189°
What is vertical angle theorem?According to the vertical angle theorem, the vertical angles that are created when two lines intersect are congruent. There are equal amounts of vertical angles. For instance, if a, b, c, and d are the four angles created by two intersecting lines and a, b, and c are vertically opposed to d and c, respectively, then a, b, and c are congruent to d.
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What are the prime factors of 4325
Study the food web below and answer the following :
i. In the pyramid of numbers there is an increase in numbers towards the base. Mention a pyramid where the base will be smaller.
ii. Predict the impact of removing snakes from this food web
Answer:
predict the impact of removing snakes from this food web
We use _____ statistics to determine whether results from a sample can be generalized to a population.
To establish whether findings from a sample may be extrapolated to the entire population, we use inferential statistics.
What makes a sample different from the population, please?A population is the total group about which you want to reach conclusions. A sample is the specific group from which you will collect data. Always, the sample size is less than the whole population. The term "population" in research rarely refers to people. Using an office as an example, all of the employees would represent the Population, and all of the managers would represent the Sample. To create a comparison, picture your population as an ocean, and your sample as an aquarium.
Inferential statistics is a branch of statistics that uses data to draw inferences and generalizations about a certain situation or fact.
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which of the following defines infinite sequence?
Answer:
An infinite sequence is a list or string of discrete objects, usually numbers, that can be paired off one-to-one with the set of positive integer s {1, 2, 3, ...}. Examples of infinite sequences are N = (0, 1, 2, 3, ...) and S = (1, 1/2, 1/4, 1/8, ..., 1/2 n , ...)
HOPE IT'S HELPS YOUCan someone help me find the perimeter of the figure in feet.
