Answer:
x = 7 (i think..)
Step-by-step explanation:
-3 (4 - 3x) = 5x + 16
* multiple -3 to each number in the parenthesis
-12 + 9x = 5x + 16
* add 12 to both sides to cancel it and combine like terms on the other side
9x = 5x + 28
* subtract 5x from both sides to cancel it out and combine like terms
4x = 28
* divide 4 from both sides to get x alone
x = 7
Factor 9v–81w–54.
Write your answer as a product with a whole number greater than 1.
Answer:
9(v-9w-6)
Step-by-step explanation:
Just factor out a 9 from all the terms. That is all you can do.
Give the domain and range of the relationship. List items from least to greatest. Do not include duplicates. Determine whether or not the relationship is a function.
Answer:
Domain: {7, 8, 9} Range: {2, 3, 4, 5}
Step-by-step explanation:
This relationship is not a function because one input (7) gave two different outputs (2 and 4)
On Wednesday, a local hamburger shop sold a combined total of 390 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
780
Step-by-step explanation:
the nth term for 1,9,17,25
Answer:
Your answer is in the attachment!!HOPE IT HELPS U!!!!How would you describe relationship <3 <6 select all that apply
Answer:
alternate interior angles
Step-by-step explanation:
We are looking at angles <3 and <6
which are on opposite sides of a transversal (line crossing through 2 parallel lines)
meaning that those 2 angles are congruent and are alternate interior angles are they are on the inside of this figure.
*Can we see the answer choices? I'm not sure what they are, meaning I cannot fully help you*
Hope this helps a little! :)
Use a calculator to convert from rectangular to polar coordinates with positive r and 0≤θ<2π (make sure the choice of θ gives the correct quadrant).
Thinking:
Wait so like quadrants as in coordinate planes? If so, all the names of the quadrants are 1,2,3,4.
find the slope distance and midpoint of R(3,5) and H(-1,2)
m=
d=
M (, )
Slope (m) of RH = 3/4
Distance of RH is d =5 units
Midpoint between points R and H is: M(1, 3.5)
How to Find the Slope?Slope (m) = change in y / change in x = y2 - y1/x2 - x1, where:
R(3, 5) = (x1, y1)
H(-1,2) = (x2, y2)
Plug in the values
Slope (m) = (2 - 5) / (-1 - 3)
Slope (m) = (-3) / (-4)
Slope (m) of RH = 3/4
How to Find the Distance between two Points?
Distance formula used is: \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)
R(3, 5) = (x1, y1)
H(-1,2) = (x2, y2)
Plug in the values
RH = √[(−1−3)² + (2−5)²]
RH = √[(−4)² + (−3)²]
RH = 5 units
How to Find the Midpoint?
The midpoint formula used is: M[(x2 + x1)/2, (y2 + y1)/2)
R(3, 5) = (x1, y1)
H(-1,2) = (x2, y2)
Substitute the values
M[(-1 + 3)/2, (2 + 5)/2)
M(1, 3.5)
Therefore,
Slope (m) of RH = 3/4
Distance of RH is d =5 units
Midpoint between points R and H is: M(1, 3.5)
Learn more about slope on:
https://brainly.com/question/3493733
#SPJ1
Sierra left $17.75 as a tip for a waiter. This was 20% of the bill before the tip. How much was her total bill before the tip
Answer:
$31.95 Before tip.
Step-by-step explanation:
I believe you should just add 17.75+80%=31.95
Mr. Nieto has to pay an income tax of
15% on earned wages of $25,500. How
much money will Mr. Nieto spend to pay the
income tax?
F $382.50 H $3,825.00
G $25,882.50 J $29,325.00
Answer:
The answer is (H) because you multiply 25,500 by 15% hope its right.
Step-by-step explanation:
guys please help this is a math question
Answer:
81.5
Step-by-step explanation:
<G and <H are congruent
<F and <I are congruent
so the last two angles in both triangles must also be congruent
this means that <K and <J are congruent
so we can create this equation: <K = <J
substitute the angles with what we know: 4\(y^{2}\) = 6\(y^{2}\) - 40
add 40 to both sides and subtract 4\(y^{2}\) from both sides: 40 = 2\(y^{2}\)
you get: 20 = \(y^{2}\)
root square on both sides: \(\sqrt{20}\) = \(\sqrt{y^{2} }\)
you get: y ≈ 4.5
substitute this into one of the equations for a missing variable:
6\(y^{2}\) -----> 6 (4.5 x 4.5) - 40
6 ( 20.25) - 40
121.5 - 40
81.5
Jim builds a robot that travels no more than 8 feet per minute. Graph the inequality showing the relationship between the distance traveled and the time elapsed. Is it possible for the robot to travel 18 feet in 2.5 minutes
Answer: yes
Step-by-step explanation:
549.5 to 1 decimal place
Answer:
It is still 549.5
Step-by-step explanation:
Rounding to 1 decimal place is just rounding by the tenth place
So it is still 549.5
Hope this helps!
I need help please x+6=8+7
Answer:
9
Step-by-step explanation:
8+7=15
15-6=9
Step-by-step explanation:
x+6=8+7
-6 -6 -6
x= 2+1 i think this is the answer
part c: write, but do not evaluate, an integral expression that can be used to find the volume of the solid when s is revolved about the x-axis. (10 points)
The limits of integration, [a, b], correspond to the x-values that define the region s.]
To find the volume of the solid when a region s is revolved about the x-axis, we can set up an integral expression using the method of cylindrical shells.
Let's consider a vertical strip within the region s, bounded by the x-values x=a and x=b. When this strip is revolved about the x-axis, it forms a cylindrical shell. The volume of this shell can be approximated by its height multiplied by its circumference, and then summed up for all the strips.
To set up the integral expression, we need to integrate the product of the circumference of the shell and its height over the range of x-values.
The integral expression to find the volume V is:
V = ∫[a, b] 2πx * h(x) dx
Where 2πx represents the circumference of the shell at a given x-value, and h(x) represents the height of the shell at that x-value.
Know more about limits of integration here:
https://brainly.com/question/31994684
#SPJ11
The librarian at a middle school tallied the books that were checked out in one week. The results are shown in the graph below.
Based on the graph, how many mystery or comic books could you expect to be checked out if a total of 300 books were checked out in a week?
Answer:
165
Step-by-step explanation:
If you add all of the bars you were given it equals 135. so if 300 books were checked out in a week and the bars you added equaled 135, you would subtract it and it would equal 165.
A Farm raises pigs and chickens. The farmer has a total of 66 animals. One Day he Counts the legs of all his animals and realize he has a total of 174 legs.How many chickens does the Farmer have?
Answer: Pigs = 21
Chicken = 45
Step-by-step explanation:
Let the pigs be represented by p
Let the chicken be represented by c.
From the question,
p + c = 66
4p + 2c = 174
4 × ( p + c = 66)
1 × (4p + 2c = 174)
4p + 4c = 264
- 4p + 2c = 174
2c = 90
c = 90/2 = 45
There are 45 chickens
Simce the farmer has a total of 66 animals, the number of pigs will be:
= 66 - 45
= 21 pigs
i need help ASP. f(x)=1-3X and g (x)=x+4 calculate fg(-2)
First replace x with -2 in the g(x) equation and solve:
G(x) = x + 4 = -2 + 4 = 2
Now replace x in the f(x) equation with the solution of g(x).
F(x) = 1-3(2) = 1-6 = -5
Fg(-2) = -5
A computer virus initially Infects one fle, then the total number of files Infected triples every minute. a) What are the first three terms of this sequence? b) Write an equation to represent this sequence. c) How many files will be infected after 15 minutes?
The computer virus initially infects one file, then for every minute the number files gets tripled. So the first term will be 1, the second will be 3, the third will be 9 and so on. The sequence is:
\(\mleft\lbrace1,3,9,\ldots\mright\rbrace\)This is a geometric sequence, where each term is related to its previous by the product of a constant number. For these cases we can represent the sequence as shown below:
\(\begin{gathered} a_n=a_1\cdot r^{n-1} \\ a_n=1\cdot3^{n-1} \\ a_n=3^{n-1} \end{gathered}\)To find how many files will be infected after 15 minutes we need to make n=15 and solve for a, we have:
\(\begin{gathered} a_{15}=3^{15-1}=3^{14} \\ a_{15}=4782969 \end{gathered}\)ILL MARK U AS BRAINLIEST!!
A tugboat is traveling 780 miles downstream on a river. The tugboat is traveling at a speed of 35 miles per hour with the current. If x represents the speed of the current which equation describes the time it will take the tugboat to reach its destination?
Answer:
f(x)= 780/35-x I think. im not sure how to explain how I got it
Jessica can walk 1.5 kilometers in 30 minutes. How long will it take her to walk 2.5 kilometers?
Answer:
It will take her 50 minutes in total to walk 2.5 kilometers.
Step-by-step explanation:
You first start off by finding how long it take to walk 1 kilometer. In this case it takes 20 minutes to walk 1 kilometer. Then multiply 20 times 2.5. You then receive your final answer... 50 minutes.
The speed of sound is approximately 1,2251, kilometers per hour. When an object travels faster than the speed of sound, it creates a sonic boom.
The speed of sound is about 343 meters per second (or approximately 1,225 kilometers per hour).
The assertion you made appears to be incorrect. At sea level, the actual speed of sound is roughly 1,225 kilometres per hour, or 767 miles per hour.
The distance that sound travels through a medium, such air, in a predetermined length of time is known as the speed of sound. It is impacted by the medium's temperature, pressure, and humidity. The speed of sound is roughly 343 metres per second in dry air at 20 degrees Celsius (or approximately 1,225 kilometres per hour).
To know more similar question visit:
https://brainly.com/question/28184756
#SPJ1
Mikel gave a $1.32 tip for an order that cost $8.80.
Determine whether or not each tip below is proportional to Mikel's tip.
Proportional to Mikel's tip
Not proportional to Mikel's tip
$2.22 tip for a $14.80 order
$1.86 tip for a $10.50 order
ООО
$0.78 tip for a $5.20 order
Answer:
Step-by-step explanation:
Multiple the numbers one by one and the answers you’ll get u can choose to divide multiple plus or minus and u will get the answer
find an integral that represents the area inside r=4sin(θ) and outside r=2.
The integral will be the difference in the areas of the two curves: 1/2*(4sin(θ))^2 - 1/2*(2)^2.
The area inside the curve r = 4sin(θ) and outside the curve r = 2 can be represented by the integral of a certain expression.
To find the integral representing the area inside r = 4sin(θ) and outside r = 2, we need to set up an integral that calculates the area between the two curves in polar coordinates.
First, we determine the points of intersection between the two curves. Setting r = 4sin(θ) equal to r = 2, we can solve for the values of θ where the curves intersect. By analyzing the equation, we find that the curves intersect at θ = π/6 and θ = 5π/6.
Next, we set up the integral to calculate the desired area. The integral will have limits from θ = π/6 to θ = 5π/6, as this covers the region between the curves. The integral will be the difference in the areas of the two curves: 1/2*(4sin(θ))^2 - 1/2*(2)^2.
Evaluating this integral will yield the area inside r = 4sin(θ) and outside r = 2. By calculating the integral over the specified range of θ, the result will provide the desired area.
Learn more about area here:
https://brainly.com/question/27683633
#SPJ11
a study is conducted to examine the relationship between family status and school performance. the sample is selected by randomly choosing every 5th child from the list of children at the abc elementary school. data are collected from the school record for each child. family status is operationalized by whether the child lives in a single-parent household, dual-parent household, or has a non-parent guardian in the household. school performance is measured by a student math test and a student reading test that are administered to the child in april. each test includes 20 questions. each correct answer is worth five points. q 1 question 1 what is the study design? select one: a. quasi-experimental study b. cross-sectional study c. pre-experimental study d. cohort study e. case-control study f. experimental study
The study design described is a cross-sectional study.
The study design in this scenario is a cross-sectional study. The study aims to examine the relationship between family status and school performance. The sample is selected by randomly choosing every 5th child from the list of children at the ABC elementary school. Data is collected from the school record for each child, and family status is operationalized by whether the child lives in a single-parent household, dual-parent household, or has a non-parent guardian in the household. The school performance is measured by administering a student math test and a student reading test to the child in April, with each test including 20 questions and each correct answer being worth five points.
Learn more about cross-sectional study here: brainly.com/question/28327293
#SPJ1
Air traffic controllers are watching two planes on radar to ensure there is enough distance between them. plane a took off at 10:00 a.m., and plane b took off at the same runway 5 minutes later. both planes are flying at the same direction angle and the same path. at 10:10 a.m., the airport’s radar system detected plane a at (24, 18) and plane b at (8, 6). the scale on the radar is 1 unit = 25 miles. which vector represents the path from plane a to plane b, and what is the actual distance between them?
To find the vector representing the path from plane A to plane B, we can subtract the coordinates of plane A from the coordinates of plane B.
The coordinates of plane A are (24, 18) and the coordinates of plane B are (8, 6).
Subtracting the coordinates:
Vector AB = (8 - 24, 6 - 18)
= (-16, -12)
Therefore, the vector representing the path from plane A to plane B is (-16, -12).
To find the actual distance between the planes, we can use the distance
formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Using the coordinates of plane A (24, 18) and plane B (8, 6):
Distance = √((8 - 24)^2 + (6 - 18)^2)
= √((-16)^2 + (-12)^2)
= √(256 + 144)
= √400
= 20
Therefore, the actual distance between plane A and plane B is 20 units.
Given that the scale on the radar is 1 unit = 25 miles, the actual distance in miles would be:
Actual Distance = 20 units * 25 miles/unit
= 500 miles
So, the actual distance between plane A and plane B is 500 miles.
Learn more about coordinates here:
https://brainly.com/question/15300200
#SPJ11
əz 22. Suppose z= z(x, y) is implicitly determined by ln(x+y+z) = x+2y+3z. Then dy (z.y.a)=(-1,5,-3)
the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).
n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).
To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.
Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.
Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.
Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).
Learn more about equation here: brainly.com/question/29657983
#SPJ11
I need help on 13 and 14, you will get 25 points with brainlyist!!!
Answer:
14 is C and 13 is also C
Step-by-step explanation:
so 14 and 13 a both C
mark brainliest or give 1 heart and 5 stars or maybe both
1. Julie is making a sundae. She has 4 flavors
of ice cream, two kinds of chocolate
sauce and 5 different fruit toppings. If she
picks one of each, how many different
Sundaes could she make?
Julie can make 40 different sundaes by picking one flavor of ice cream, one kind of chocolate sauce, and one fruit topping.
We have,
To determine the number of different sundaes Julie can make by picking one flavor of ice cream, one kind of chocolate sauce, and one fruit topping, we need to multiply the number of options for each category.
Julie has 4 flavors of ice cream to choose from.
She has 2 kinds of chocolate sauce to choose from.
She has 5 different fruit toppings to choose from.
To calculate the total number of different sundaes, we multiply the number of options for each category:
Total number of different sundaes
= (Number of ice cream flavors) x (Number of chocolate sauce options) x (Number of fruit topping options)
Total number of different sundaes
= 4 x 2 x 5
= 40
Therefore,
Julie can make 40 different sundaes by picking one flavor of ice cream, one kind of chocolate sauce, and one fruit topping.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Use inspection to describe the inequality's solution set. Do not solve the ineque (x-8)^(6)<=0
The inequality's solution set can be described by inspection as x <= 8.
What is inequality?Inequality is the unequal treatment of people based on factors such as race, gender, class, or other social characteristics. It is often seen as unfair and can lead to social and economic disparities.
This is because the inequality (x-8)^(6)<=0 is asking when the quantity (x-8) raised to the 6th power is less than or equal to zero.
Since any number raised to an even power will always be positive or zero, the only way for this inequality to be true is when (x-8) is equal to zero. This occurs when x = 8. Therefore, the solution set is x <= 8.
To summarize, the inequality's solution set is:
x <= 8
To know more about Inequality click on below link:
https://brainly.com/question/30231190#
#SPJ11
Looking Ahead Vocabulary
28. The current of a river flows north at a constant rate. What is the constant in the
mathematical expression 3x + 5y +3?
Answer:
The constant would be 3 in the question
Step-by-step explanation: