Answer:
18x - 30
Step-by-step explanation:
in order to expand the expression, you need to use the distributive property to simplify 6(3x - 5).
first, distribute 6 to 3x, which is just 6 • 3x.
6 • 3x = 18xnow distribute 6 to -5, which is just 6 • -5.
6 • -5 = -30therefore, 6(3x - 5) expanded is 18x - 30 :) i hope this helps!! have a lovely rest of your day <3
Compare using >, <, or =.
64 ounces_4 pounds
Answer:
64 ounces = 4 pounds
Step-by-step explanation:
We know that 64 ounces equal 4 pounds because 64 divided by 16 (the number of ounces in a pound) is 4. We can check our work by doing 4 x 16 (the number of ounces in a pound) and we get 64 ounces.
Which of the following is the product of the rational expressions shown below?
Answer:
A
Step-by-step explanation:
\($\frac{x-3}{x+5} \cdot \frac{3x}{x-5} $\)
\($\frac{3x(x-3)}{(x+5)(x-5)} $\)
\($\frac{3x^2-9x}{x^2-25} $\)
\(\dfrac{(3x^2-9x)}{(x^2-25)}\)
What is rational function?A rational function is defined as a polynomial divided by a polynomial.
What are Fractions?Fractions is defined as a numerical value that represents a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.
\((\dfrac{x-3}{x+5})(\dfrac{3x}{x-5} )\\\)
\(\dfrac{(x-3)(3x)}{(x+5)(x-5)}\)
Used formula a² - b² = (a + b)(a - b)
\(\dfrac{(3x^2-9x)}{(x^2-5^2)}\)
\(\dfrac{(3x^2-9x)}{(x^2-25)}\)
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Solve by graphing. x2 + 2x – 3 = 0
By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.
To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.
First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.
We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.
1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:
0 = x^2 + 2x - 3.
This quadratic equation can be factored as (x + 3)(x - 1) = 0.
Therefore, x = -3 or x = 1.
2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.
3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).
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What is the value of (2/3)^4 ?
Answer:
THE ANSWER IS 81/16 OR C
6.) At a concert, you purchase 4 CD's and a poster for a total cost of $80. The poster cost $12.
Write and solve an equation to find the cost of one CD.
Answer:
17$ per CD equation : 4x + 12 = 80
Step-by-step explanation:
4x + 12 = 80
80 - 12 (poster) = 68
68/4(cds) = 17
what would the correct number line be for this compound inequality? 3x - 5 > or -2x _< -10
The correct number line that shows the solution to the compound inequality is given by:
Number Line A.
What is a compound inequality?A compound inequality is an inequality that is composed by multiple conditions.
Then these conditions are related with one of two operations, listed as follows:
and operation: the values need to respect all the conditions of the compound inequality.or operation: the values need to respect at least one of the conditions of the compound inequality.In this problem, the compound inequality is given as follows:
3x - 5 > 1 or -2x ≤ -10.
The solutions to the first condition are given as follows:
3x > 6
x > 2.
The solutions to the second condition are given as follows:
2x ≥ 10
x ≥ 5.
The interval of values that is the union of these solutions is given by:
x > 2.
Hence number line A is the solution to the inequality.
Missing InformationThe complete problem is given by the image shown at the end of the answer.
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Describe a situation that can be represented by the expression –15 + 8.
Answer:
-7
Step-by-step explanation:
Tiger Woods was 15 under par after the third round of a golf tournament, but was 8 over par for the fourth round. So, his score for the entire tournament was -15 + 8 = -7 (That is, 7 under par).
In August Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8. how many short sleeve shirts were sold
The number of short sleeves that Maria sold is 819.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.
In this case, Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8.
The number of short sleeves will be:
= Ratio for short sleeve / Total ratio × Total number of clothes
= 9 / (8 + 9) × 1547
= 9/17 × 1547
= 819
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Suppose that 40% of all adults regularly consume coffee, 50% regularly consume carbonated soda, and 60% regularly consume at least one of these two products
Question 2: Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually. She plans to withdraw the money when she retires in 30
years.
a) Determine the value of the investment when she retires. Show your
work.
I
b) Calculate the rate of return [note:] over the 30 years. Show your work.
the value of the investment when she retires is $26434.92.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
here, we have,
given that,
Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually.
She plans to withdraw the money when she retires in 30
years.
So, she get finally is,
using the formula we get,
$26434.92
hence, the value of the investment when she retires is $26434.92.
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I neeeeeeeeeeeeeed help
9514 1404 393
Answer:
14 +2i
Step-by-step explanation:
For this sort of problem, you can treat i as though it were a variable. Combine like terms.
(8 -7i) +(6 +9i) = (8 +6) +(-7 +9)i
= 14 +2i
work out missing angle following polygons
Answer:
x = 150°
Step-by-step explanation:
Interior angle of a hexagon = 120° and interior angle of a square = 90°
so remaining angle, 360-120-90 = 150°
How many 5-letter code words can be formed from the letters T, Q, G, E, B if no letter is repeated? If letters can be repeated? If adjacent letters must be different?
The number of codes that can be made using the 5 letters given is 120 as calculated using permutation and combination.
Now when no letters are repeated:
5 letter codes to be made.
Possible options for each space = 5
so first digit has 5 options, second digit has 4 options , third digit has 3 options , fourth digit has 2 options and the final digit will have only 1 option left.
So total number of codes = 5 × 4 × 3 × 2 × 1 = 120 codes
if letters can be repeated
5 letter codes to be made.
Possible options for each space = 5
so first digit has 5 options, second digit has 5 options , third digit has 5options , fourth digit has 5 options and the final digit will have only 5 options also.
So total number of codes = 5 × 5 × 5× 5× 5= 3125 codes
if adjacent letters cannot be repeated
5 letter codes to be made.
Possible options for each space = 5
so first digit has 5 options, second digit has 4 options , third digit has 4 options , fourth digit has 4 options and the final digit will have only 4 options also.
So total number of codes = 5 × 4 × 4× 4× 4 = 1280 codes
Hence the total number of codes as calculated by permutation and combination is 1280.
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Graph that line with slope -1 passing through the point (-2,4)
Answer:
To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:
y - 4 = -1(x - (-2))Simplifying this equation, we get:
y - 4 = -x - 2y = -x + 2Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.
GRAPHICAL REPRESENTATION:|
|
|
|
| /
| /
| /
-------+---------
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Dimitri has let out 40m of his kite string, which makes an angle of 72° with the horizontal ground. If the kite flies directly over Sarah's head, what is the distance between Dimitri and Sarah?
Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.
How to Apply the Cosine Ratio?The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.
Using the cosine ratio, we have:
Reference angle (∅) = 72 degrees
Hypotenuse length = 40 m
Adjacent length = distance between Dimitri and Sarah = x
Plug in the values:
cos 72 = x/40
x = cos 72 * 40
x ≈ 12.4 [to one decimal place]
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Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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Write a unit rate for the situation please. 20 meters in 4 seconds
Answer: 20/4 = 5 m/s
Step-by-step explanation:
A unit rate is a number over 1. 20/4 is the answer not simplified. Divide both 20 and 4 by 4. 20=5; 4=1. Therefore, it is 5 m/s.
Hope this helps! :)
Please HELPPPPPPPPPPPPPPPPPP
8x-6≥58
Answer:
x=8 but with the less than equal to sign
Step-by-step explanation:
you would add 6 to the -6 then add it to the 58. The 6 cancel so then add the 58 and the 6 when you do that you get 64 so now you are left with 8x with same sign and 64 now you would divide both side by 8 and you should get x less than or equal to 8
Answer: 8x -6 < 58
Step-by-step explanation:
8x -6 = -48 and -48 is less then 58 so it’s less than 58!
At the craft store, Rudy bought a bag of green and red marbles. The bag contained 60 marbles, and 60% of them green. How many green marbles did Rudy receive?
Answer:
36 green marbles
Step-by-step explanation:
If 60% of the 60 marbles in the bag are green, then the number of green marbles can be calculated as:
Green marbles = 60% x 60 marbles
To simplify this calculation, we can convert 60% to a decimal by dividing by 100:
Green marbles = 0.60 x 60 marbles
Green marbles = 36 marbles
Therefore, Rudy received 36 green marbles.
Answer: 36
Step-by-step explanation:
60 is 6/10 of 100 so if you are taking a percent of 60 just multiply the percentage by 6/10. 6/10 of 60 is 36
HELP NEEDED ASAP
2. Consider the following transformed function
y = −2 Sin [2( − 45°)] + 1
a) Graph the five key points of Parent function on the provided grid. [1mark]
b) State the following for the transformed function [2marks]
Amplitude=
period=
Horizontal Phase shift =
Equation of axis=
c) Graph at least two cycles of the transformed function by transforming the key points of the parent function. (Don’t forget to label the x-axis and y -axis)
The five key points of the parent function are:
Domain: Set of all real numbersRange: Set of all real numbers from -1 to 1 (inclusive)No vertical asymptoteNo horizontal asymptoteMaximum: (π/2 + 2πn, 1)The five key points of the parent functionThe function is given as:
y = -2 sin[2(x - 45)] + 1
The above function is a sine function, and the parent function of a sine function is
y = sin(x)
The properties of the above function are:
Domain: Set of all real numbersRange: Set of all real numbers from -1 to 1 (inclusive)No vertical asymptoteNo horizontal asymptoteMaximum: (π/2 + 2πn, 1)The transformed functionThe transformed function is given as:
y = -2 sin[2(x - 45)] + 1
A sine function is represented as:
y = A sin[Bx + C] + D
Where:
A represents the amplitudePeriod = 2π/BC represents horizontal phase shiftUsing the above representations, we have:
Amplitude = -2Period = 2π/2 = πHorizontal phase shift, C = 2 * -45 = -90Equation of the axis, y = 1The graph of the functionSee attachment for the graph of the sine function y = -2 sin[2(x - 45)] + 1
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What is the value of 3^2?
pls answer quick I'm being timed
Answer:
I believe the value would be 9.
Answer:
9
Step-by-step explanation:
3 x 3 = 9
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What is one important similarity between diffusion and osmosis what is one important difference please help I cannot get this
(PLEASE ANSWER ASAP)
Answer:
alternate interior angles are congruent
What is the value of x?
Answer:
12
Step-by-step explanation:
10x - 20 + 6x + 8 = 180
Supplementary angles
Answer:
x = 12
Step-by-step explanation:
The two given angles create a straight line (Definition of Straight Line). This means that:
\((10x - 20) + (6x + 8) = 180\)
First, combine like terms. Like terms are terms that share the same amount of the same variables:
\((10x + 6x) + (8 - 20) = 180\\(16x) + (-12) = 180\\16x - 12 = 180\\\)
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 12 to both sides of the equation:
\(16x - 12 = 180\\16x - 12 (+12) = 180 (+12)\\16x = 180 + 12\\16x = 192\)
Next, divide 16 from both sides of the equation:
\(\frac{16x}{16} = \frac{192}{16} \\x = \frac{192}{16}\\ x = 12\)
12 is your answer.
~
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The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 380 minutes, the monthly cost will be $173. If the customer uses 570 minutes, the monthly cost will be $249.
A) Find an equation in the form
y
=
m
x
+
b
,
where
x
is the number of monthly minutes used and
y
is the total monthly cost of the Splint plan.
Answer:
y
=
B) Use your equation to find the total monthly cost if 942 minutes are used.
Answer: If 942 minutes are used, the total cost will be
dollars.
The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
What is an equation?The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.
Part A:
Given:
customer uses 380 minutes, the monthly cost will be $173.customer uses 570 minutes, the monthly cost will be $249.To find an equation,
Where x is number of monthly minutes.
and y is total monthly of splint plan.
So, equation is:
\(\rightarrow \text{y} =\text{mx} +\text{b}\)
For the first case:
\(\rightarrow\bold{173 = 380x + b}\)
Second case:
\(\rightarrow\bold{249= 570x + b}\)
Solve for x:
\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)
\(\rightarrow{-207=-321\)
\(\rightarrow \text{x} =\dfrac{321}{207}\)
\(\rightarrow \text{x} =\dfrac{107}{69}\)
\(\rightarrow \text{x} \thickapprox1.55\)
For value of b
\(\rightarrow 173 = 380(1.55) + \text{b}\)
\(\rightarrow 173 - 589 = \text{b}\)
\(\rightarrow -416 = \text{b}\)
Part B:
\(\rightarrow \text{y} = 942(1.55) - 416\)
\(\rightarrow \text{y} = 1460.1 - 416\)
\(\rightarrow \text{y} \thickapprox1044\)
Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.
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You intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Your sample size is 4.
Find the critical value that corresponds to a confidence level of 99.9%. Round to three decimal places.
The critical value is 9.925, rounded to three decimal places.
How to solveTo calculate the critical value for a 99.9% confidence level with a sample size of 4, we will use the t-distribution, since the population standard deviation is unknown.
The t-distribution is used when the sample size is small (usually n < 30) and the population standard deviation is unknown.
First, find the degrees of freedom (df) for the t-distribution, which is equal to the sample size (n) minus 1:
df = n - 1df = 4 - 1df = 3Next, we need to find the critical value (t) that corresponds to a 99.9% confidence level (or a 0.999 probability) and 3 degrees of freedom. We will look this up in a t-distribution table or use a t-distribution calculator.
Using a t-distribution calculator or table, the t-score corresponding to a 99.9% confidence level (two-tailed) and 3 degrees of freedom is approximately 9.925.
So, the critical value is 9.925, rounded to three decimal places.
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J0!N MY BLOOKET
BATTLE ROYALE
C0DE: 354162
yes
yes
Step-by-step explanation:
I am in the blooket
Answer:
ok
Step-by-step explanation:
Find the value of each variable in the following parallelogram - show work
Answer: x=14 y=10
Step-by-step explanation:
Question 1 (1 point)
Penny spent $35 for 5 pizzas. Which graph correctly represents the unit rate for this
proportional relationship?
Answer:
D
Step-by-step explanation:
D is the best answer becuase the graph would keep going up and then 5 and 35 would make a point
Answer:
D
Step-by-step explanation:
5 pizzas = $35
35 ÷ 5 = 7
1 pizza = $7
Placebos are used so that even the people who do not receive a treatment can benefit from the study. ? 2. Controlled experiments can be randomized or nonrandomized. ? 3. A well-designed placebo allows an experiment to be conducted blind. ? 4. Placebos are used to randomly assign participants to treatment or control ? 5. Using a random chance procedure to assign subjects to treatment or control reduces bias ? 6. A placebo is used in all controlled experiments. ? 7. In a blind experiment, the subjects do not know whether they are in the treatment group or control group. ? 8. In an observational study, the investigators assign the subjects to treatment or control
Answer:
1. Placebos are used to randomly assign participants to treatment or control ?
False.
2. Using a random chance procedure to assign subjects to treatment or control reduces bias ?
True.
3. A well-designed placebo allows an experiment to be conducted blind. ?
False.
4. In an observational study, the investigators assign the subjects to treatment or control. ?
False.
5. In a blind experiment, the subjects do not know whether they are in the treatment group or control group. ?
True.
6. Placebos are used so that even the people who do not receive a treatment can benefit from the study. ?
True.
7. A placebo is used in all controlled experiments. ?
True.
8. Controlled experiments can be randomized or nonrandomized.
True.
Step-by-step explanation:
Placebos are not techniques for conducting experiments. They are devices or drugs used when conducting a controlled study or research involving the administering of items to two different groups, such that one group gets the real item while the other group gets another item that is made to look like the real item without the participants knowing the difference. The purpose is to enable the results from the control group to be compared to the results of a treatment group. Randomization is the process used to assign subjects to treatment or control groups in order to reduce bias.