Answer:
7c (2d - 1)
Step-by-step explanation:
Common factorization
Answer:
\(\bold{ 7c(2d - 1)}\)
Step-by-step explanation:
\(\sf \rightarrow 14cd - 7(c)\)
take 7(c) as common factor
\(\sf \rightarrow 7c(2d - 1)\)
factorised
\(\sf 7 c(2d - 1)\)
The ordered pairs in the table below represent a linear function. What’s the slope of the function?
Answer:
The slope is 2
Step-by-step explanation:
Using slope formula (y2-y1)/(x2-x1):
(8-2)/(9-6)
(6)/3
2
Answer:
3
Step-by-step explanation: took test edge
A pharmaceutical salesperson receives a monthly salary of $4300 plus a commission of 5% of sales. Write a linear equation for the salesperson's monthly wage W in terms of monthly sales S.
Answer:
Linear equation: y = 4300(w) + 0.05(s)???
sorry
Whenever Deven and Laura owe each other money, they "pay" each other using stickers. They've agreed that a Harry Potter sticker is worth 49 dollars and a Twilight sticker is worth 35 dollars. They can even use stickers as "change" if one person overpays the other. For example, if Deven owes Laura 189 dollars, he can give her 6 Harry Potter stickers ($6 \cdot 49 = 294$ dollars), and she can return 3 Twilight stickers ($3 \cdot 35 = 105$ dollars). This trade is like a transfer of $294-105=189$ dollars. What is the smallest positive debt, in dollars, that can be paid off using sticker trading?
The smallest positive debt that can be paid off using sticker trading is $7$ dollars.
To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.
Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.
The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.
In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.
Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.
For such more questions on debt
https://brainly.com/question/28929846
#SPJ8
Pam takes her truck in for basic service. The service agent says a few extra repairs are also needed, so Pam adds the cost of those repairs in her head, rounding to the nearest $10. The costs are as follows: Wheel alignment: $110 Transmission fluid flush: $75 Cabin air filter: $23 What is her total estimate for the repairs? Note: 4 or less: round down, 5 or more: round up. For example, 14 becomes 10, while 15 becomes 20.
Answer:
$210 when round up
Step-by-step explanation:
To find the total estimate for the repairs, we need to add up the cost of each individual repair.
Wheel alignment: $110
Transmission fluid flush: $75
Cabin air filter: $23
Total estimate = $110 + $75 + $23 = $208
Pam rounded the costs to the nearest $10, so the total estimate may not be exactly $208, but it will be close to it.
A lawnmower designer wants to build a lawnmower that measures 3 feet in height, 2 feet in width, and 5 feet in length. She needs to construct a three-dimensional scale model of the lawnmower first. Which measurements are appropriate for the scale model?
Answer: C. 6 inches high, 4 inches wide, and 10 inches long
Step-by-step explanation:
A scale model will have to use a scale factor that ensures that the actual measurements can be accurately converted to the scale model measurements in an equivalent manner.
This means that the real measurements need to be uniform when converted by the scale factor to the scale model. In other words, in this scenario for instance, when the scale measurements are divided by the real measurements, they should give the same scale factor.
Option C is correct because all the measurements give the same scale factor when divided as opposed to the rest.
Height = Scale/ Real = 6/3 = 2
Width = 4/2 = 2
Length = 10/5 = 2
They all use the scale factor of 1 feet: 2 inches so option C is correct.
(x+16)²=12 plz help me and show work
Answer:
The answer is \(x=-16\) ±\(2\sqrt{3}\) in exact form or \(x=-12.535898\), \(x=-19.464102\) in decimal form.
Step-by-step explanation:
To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring \(x+16\), which will look like \(x^{2} +32x+256-12=0\). Next, simplify the equation again, which will look like \(x^{2} +32x+244=0\).
Then, use the quadratic formula to find the solutions. The quadratic formula looks like\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\).
For this problem, the quadratic variables are as follows:
\(a=1\)
\(b=32\)
\(c=244\)
The next step is to substitute the values \(a=1\), \(b=32\), and \(c=244\) into the quadratic formula and solve. The quadratic formula will look like \(\frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}\). To simplify the equation, start by simplifying the numerator, which will look like \(x=\frac{-32(+-)4\sqrt{3} }{2*1}\). Then, multiply 2 by 1 and simplify the equation, which will look like \(x=-16(+-)2\sqrt{3}\). The final answer is \(x=-16\) ±\(2\sqrt{3}\) in exact form. In decimal form, the final answer is \(x=-12.535898\), \(x=-19.464102\).
Two dice are rolled. What is the probability that the sum will be 12?
The total number of possible outcomes equals the product of the possible outcomes for each dice. Then, that total number is equal to:
\(6\times6=36\)From those possible outcomes, only one combination gives 12 as a result, which is 6 on both dices.
Then, the probability that the sum will be 12, is equal to:
\(\frac{1}{36}\)what is 8 x 1 ????????????
Answer:8
Step-by-step explanation:8x1=8
The research question is: Do the data provide evidence that the treatments affect the mean LDL level in this population
Answer:
hello your question is incomplete attached below is the complete question
answer : The population mean LDL level after six months is same for all four treatments
Step-by-step explanation:
A null hypothesis represents a no difference in the question. therefore the correct option is The population mean LDL level after six months is same for all four treatments
38 - 8 ÷ 3 - 3 -7 + 4 + 16
Answer:
45.33333333333
Step-by-step explanation:
A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25. How many of each type of frust was sold?
A store sells 5 oranges and 10 apples.
What is the cost amount?
The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.
Here, we have
Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.
We have to determine how many of each type of fruit were sold.
We, let the oranges be x.
let the apples be y.
x + y = 15...(1)
1x + 2y = 25...(2)
We subtract equation(2) from equation(1), we get
y = 10
Now we put the value of y in equation (1) and we get
x + 10 = 15
x= 5
Hence, a store sells 5 oranges and 10 apples.
To learn more about the cost amount from the given link
https://brainly.com/question/25811981
#SPJ1
Evelyn bought stock in a company two years ago that was worth xx dollars. During the first year that she owned the stock, it decreased by 36%. During the second year the value of the stock decreased by 20%. Write an expression in terms of xx that represents the value of the stock after the two years have passed.
Answer:
0.512xx
Step-by-step explanation:
100% - 36% = 64%
64% = 0.64
thus after 1st yr, she is left with the value of 0.64xx
100% - 20% = 80%
80% = 0.8
thus after 2nd yr, she is left with the value of 0.8 x (0.64xx) = 0.512xx
Which of the following is the equation of a line with a slope of -5/9
Answer:
Please help me important question in image
Please help me important question in image
Please help me important question in image
Step-by-step explanation:
Please help me important question Please help me important question in image
in image
Please help me iPlease help me important question in image
Please help me important question in image
mportant question in image
Please help me important question in image
help please asap please cmon
Answer:
3 minutes
Step-by-step explanation:
If we assume Alan's reading speed to be the same throughout, then we can find the minutes he takes to walk 1 block by unitary method.
Given,
Alan walks 5 blocks in 15 minutes.Then for walking 1 block, he takes 15/5 = 3 minutes\(.\)Alan walks 1 block in 3 minutes.
15. Blaine works for a battery manufacturing company. He wants to develop a method to test the batteries made each day to determine if they work.
Which method would provide the most valid results?
A. sampling the first 25 batteries made each day and testing to see if they work
B. sampling the last 25 batteries made each day and testing to see if they work
C. sampling the first 50 batteries made each day and testing to see if they work
D. randomly sampling 50 batteries throughout the day and testing to see if they work
The most reliable results would come from randomly selecting 50 batteries throughout the day and testing to determine if they function.
What battery testing techniques are there?A voltage reading, a pulse or AC impedance measurement of internal resistance, coulomb counting, and electrochemical impedance spectroscopy are some of the test techniques available (EIS).
How can a battery's energy be tested?The red probe should be connected to the positive terminal of the battery, and the black probe should be connected to the negative terminal. Take the multimeter's reading. The battery is still safe to use if the reading for a 9V battery is greater than 7V.
To know more about batteries visit:-
https://brainly.com/question/11670669
#SPJ1
The length of a rectangle is 4yd longer than its width. If the perimeter of the rectangle is 72yd, find its length and width.
The value of length and width of the rectangle is L = 28.8 yd , W = 7.2 yd
In the above question, it is given that
Let the length be L and width be W of the given Rectangle
The length of a rectangle is 4yd longer than its width
We can write it in mathematical equation as,
L = 4W ......eqn 1
Also, it is given that, the perimeter of the rectangle is = 72yd
And, we know that, the perimeter of rectangle = 2(L+ W)
72 = 2(L + W)
Putting value of eqn 1 in the above equation, we will get,
72 = 2( 4W + W)
36 = 5W
W = 7.2 yd
Putting the value of W = 7.2yd in eqn 1 we get,
L = 4( 7.2)
L = 28.8 yd
Hence, the value of length and width of the rectangle is L = 28.8 yd , W = 7.2 yd
To learn more about, rectangle here,
https://brainly.com/question/15019502
#SPJ1
If i purchase 25 candy bars priced at 3/$1.00,how much do I owe you
Every three candy bars cost a dollar.
Divide 25 by three.
$8.33
The quotient of a number y and 2.
A. 2/y
B. 2(y)
C. 2 + y
D. y/2
Answer:
The answer to your problem is B.
At a basketball game, for every 2 baskets team A scored, team B scored 5 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is choices: 2 to 3, 2 to 5, 3 to 2, 5 to 2
The ratio of the number of baskets scored by team A to the number of baskets by team B is 2: 5. Then the correct option is B.
In a basketball game, team B scored 5 baskets for every 2 that team A scored.
The utilization of two or more additional numbers that compares is known as the ratio.
Assume that Team A scored two baskets while Team B netted five.
The problem statement states that for every two baskets Team A scored, Team B scored five. This may be expressed as the ratio shown below:
Ratio = 2x : 5x
Ratio = 2: 5
Thus, the correct option is B.
More about the ratio link is given below.
https://brainly.com/question/13419413
#SPJ1
The scatterplot shows the time spent playing a video game and the number of points scored by several students.
Based on the scatterplot, which is the best prediction of the number of points scored by a student who spends 45 minutes playing the video game?
It seems you havent posted a graph
15. Write the inequality system that is represented in the graph.
The inequality system that is represented in the graph are-
y < -x -1 and y ≤ x + 2.
How to find inequality system from the graph?We plot both equations in the very same coordinate system in order to visually solve any system of linear equations. The intersection of the two lines is where the system's answer will be found.Graph the resultant line by replacing the inequality sign with just an equal sign.Consider two point on dotted line.
(-1, 0) and (-2, 1)
Fine slope m:
m = (1 - 0)/(-2 + 1)
m = -1
Equation of line:
y - 0 = (-1)(x + 1)
y = -x -1
In the inequality system.
y < -x -1
Consider two point on bold line.
(0,2) and (-2, 0)
Fine slope m:
m = (0 - 2)/(-2 -0)
m = 1
Equation of line:
y - 2 = (1)(x + 0)
y = x + 2
In the inequality system.
y ≤ x + 2
Thus, the inequality system that is represented in the graph are-
y < -x -1 and y ≤ x + 2.
know more about the inequality system
https://brainly.com/question/11897796
#SPJ1
32
Select the correct answer.
Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function. Lett
represent the time, in seconds, since the friends started seesawing.
t
0
1
2.
3
4
5
6.
ht)
24
48
24
0
24
48
24
If the friends start seesawing with the plank in a level position, how long does it take for the friend in the left seat to move upward, downward,
and then back to the initial position?
Answer:
I believe it would be 4 seconds
Step-by-step explanation:
PLATO/Edmentum
The time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Two friends are sitting on a seesaw at the park. The height, h(t), of the left seat, in inches above the ground, is modeled by a sine function.
Let t represent the time, in seconds, since the friends started seesawing.
t 0 1 2 3 4 5 6h(t) 24 48 24 0 24 48 24The friends start seesawing with the plank in a level position. The initial position at 0 of them is at 24.
The group has to come back to this position after moving upward and downward. The time it takes to reach upward is,
\(f(48)=t_{up}\\f(48)=1\)
The time it takes to reach downward after going upward is,
\(f(0)=t_{down}\\f(0)=3\)
Coming back to initial potion,
\(f(24)=t_{i}\\f(24)=4\)
Thus, the time it takes for the friend in the left seat to move upward, downward, and then back to the initial position is 4 seconds.
Learn more about Function here:
https://brainly.com/question/5245372
#SPJ2
I need the area choices below
Answer:
Area of the shape is 244.98cm² is B
Step-by-step explanation:
Area of shape=Area of semi circle+Area of trapezoid
A=1/2 πr² + 1/2(a+b)h
A=1/2×3.142×7² + 1/2(14+18)10.5
A=1/2×3.142×49 + 1/2×32×10.5
A=76.98+168
A=76.98+168
A=244.98cm²
In an analysis of variance, which of the following is directly influenced by the size of the sample mean differences?SStotalSSbetween treatmentsAll three SS values are influenced.SSwithin treatments
In an analysis of variance, The treatment which is directly influenced by the size of the sample mean differences is SSbetween treatments
the value of SS(between) is between 30.
As ,
SS(between)
= SS(total) - SS(within)
= 70 - 40 = 30
ANOVA is a collection of statistical models and their related estimate processes (such as "variance" among and across groups) used to assess mean differences.
Ronald Fisher, a statistician, invented ANOVA. ANOVA is based on the law of total variance, which divides the observed variance in a variable into components attributed to different causes of variation.
In its most basic version, ANOVA gives a statistical test to determine if two or more population means are equal, and therefore extends the t-test beyond two means. To put it another way, the ANOVA is used to compare the differences between two or more means.
To learn more about variance
brainly.com/question/14116780
#SPJ4
Help pls help pls thank you so much
pls help!! Thank you!
Answer:
C
Step-by-step explanation:
\(\left(\frac{f}{g} \right)(x)=\frac{f(x)}{g(x)} \\ \\ \frac{f(x)}{g(x)}=\frac{\sqrt[3]{2x}}{2x+1}\)
The denominator cannot equal 0, so:
\(2x+1 \neq 0 \implies x \neq -\frac{1}{2}\)
Given:
h (x) = -x + 3
Find:
h (7)
Answer:
h(x) = -x+3
h(7) = -7+3
h = -4
Step-by-step explanation:
The answer is going to be -4 but Im still not sure tho.
Would appreciate if someone could help. Thank you
Answer:
\(-\frac{75}{4}\)
Step-by-step explanation:
Determine the determinant
\(\frac{9}{2}*(-\frac{9}{2})-(-1)*\frac{3}{2}\)
Multiply / Remove parentheses
\(-\frac{81}{4} +\frac{3}{2}\)
Calculate
\(-\frac{75}{4}\)
Use the factor theorem to determine whether or not the first polynomial is a factor of the second
Answer/Step-by-step explanation:
Based on the factor theorem, a polynomial, x - a, is said to be a factor of another polynomial, f(x), if an only if f(a) = 0.
Using this theorem, let's determine whether each of the given first polynomial, is a factor of the second polynomial.
1. x - 1; x² + 2x + 5
By the factor theorem, x - 1 will be a factor of f(x) = x² + 2x + 5, if and only if f(1) = 0.
f(1) = 1² + 2(1) + 5
= 1 + 2 + 5
= 8
Since f(1) ≠ 0, therefore the first polynomial, x - 1, is NOT a factor of the second polynomial, x² + 2x + 5.
2. x + 1; x³ - x - 2
By the factor theorem, x + 1 will be a factor of f(x) = x³ - x - 2, if and only if f(-1) = 0.
f(1) = -1³ - (-1) - 2
= -1 + 1 - 2
= -2
Since f(-1) ≠ 0, therefore the first polynomial, x + 1, is NOT a factor of the second polynomial, x³ - x - 2.
3. x - 4; 2x³ - 9x² + 9x - 20
By the factor theorem, x - 4 will be a factor of f(x) = 2x³ - 9x² + 9x - 20, if and only if f(4) = 0.
f(4) = 2(4)³ - 9(4)² + 9(4) - 20
= 128 - 144 + 36 - 20
= 0
Since f(4) = 0, therefore the first polynomial, x + 4, is a factor of the second polynomial, 2x³ - 9x² + 9x - 20.
4. a - 1; a³ - 2a² + a - 2
By the factor theorem, a - 1 will be a factor of f(a) = a³ - 2a² + a - 2, if and only if f(1) = 0.
f(1) = 1³ - 2(1)² + 1 - 2
= 1 - 2 + 1 - 2
= -2
Since f(1) ≠ 0, therefore the first polynomial, a - 1, is NOT a factor of the second polynomial, a³ - 2a² + a - 2.
5. y + 3; 2y³ + y² - 13y + 6
By the factor theorem, y + 3 will be a factor of f(y) = 2y³ + y² - 13y + 6, if and only if f(-3) = 0.
f(-3) = 2(-3)³ + (-3)² - 13(-3) + 6
= -54 + 9 + 39 + 6
= 0
Since f(-3) = 0, therefore the first polynomial, y + 3, is a factor of the second polynomial, 2y³ + y² - 13y + 6.
Which rational number also belongs to the set of whole numbers?
Answer:
Answer: A) 15
A natural number is basically a counting number {1, 2, 3, 4, 5, ...} so any positive whole number. That is why 15 is the answer. Choices B and D are fractional values, so we can rule them out. We can rule out choice C because this value is negative.
Step-by-step explanation: