Answer:a function whose value decreases as the independent variable increases over a given range.
Step-by-step explanation:
Given the following equation, what is the slope of the linear function?
Answer:
2/3
Step-by-step explanation:
The slope sits next to the x in the slope-intercept equation, y=mx+b. Slope is the m. In the equation in the problem y=2/3x-2.
The slope is 2/3.
A camera has a listed price of $615.99 before tax. If the sales tax rate is 9.25%, find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
559.01 i think that is rounded correctly
Step-by-step explanation:
so it did $615.99 - 9.25% = 559.010925
Hope This Is Good And Helped Sorry If i Did It Worng
PLEASE HELP 20 POINTS!!
[tex]\text{First term,} ~a = 72\\\\\text{Common ratio,}~ r = \dfrac{-36}{72} =-\dfrac 12 \\\\\text{Sum of an infinite geometric series,}\\\\S_{\infty} = \dfrac a{1 - r}\\\\\\~~~~~= \dfrac{72}{1+ \dfrac 12}\\\\\\~~~~~=\dfrac{72 }{\tfrac 32}\\\\\\~~~~~=\dfrac{72 \times 2}3\\\\\\~~~~~=48[/tex]
Series: 72 - 36 + 18 - 9 +...
[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]
Identify the following
a1 = 72 - 36r = (18-9) ÷ (72-36) = 1/4Solve:
[tex]\rightarrow \sf S \infty \ =(72-36) \ x \ \dfrac{1}{1-\frac{1}{4} }[/tex]
[tex]\rightarrow \sf S \infty \ =48[/tex]
This series has a sum of 48.
Alex believes the honor roll students at his school have an unfair
advantage in being
assigned to the science class they request. He asked 500 students at his school the
following questions: Are you on the honor roll?" and "Did you get the science class you
requested?" The results are shown in the table below:
Honor roll Not on honor roll Total
Received science class requested
64
315
379
Did not get science class requested 80
41
121
Total
144
356
500
Help Alex determine if all students at his school have an equal opportunity to get into
the science class they requested. Show your work, and explain your process for
determining the fairness of the class assignment process.
According to the information provided, it can be inferred that the conclusion reached by Alex is that there are no advantages to honor roll students.
How to calculate the percentage of students who received the requested classes?To calculate the percentages of students who received the requested classes, we must take into account the data in the table. Additionally, we must perform the following operations:
144 ÷ 100 = 1.44
64 ÷ 1.44 = 44.44%
According to the above, the percentage of students who are on the honor roll and receive their classes is 44.44%.
To calculate the percentage of students who are not on the honor roll and receive their classes, we do the following operation.
356 ÷ 100 = 3.56
315 ÷ 3.56 = 88.48%
According to the above, it can be inferred that the students who are on the honor roll do not have advantages over the others because the percentage of students who are not on the honor roll and receive their science classes is greater than the percentage of students who are on the honor roll and receive their classes.
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two supplementary angles have measures 6x° and 12x°. find each angle measure’
| 3. Two lines are intersecting. What is the
value of x?
(x+23)
(2x + 4)°
Answer:
Step-by-step explanation:
2x + 4 + x + 23 = 180
3x + 27 = 180
3x = 153
x = 51
4. (1) Solve forx: 13 11 3x+16 65
Step-by-step explanation:
13113x+1665
_____________________________
Rewrite 13113 as 9 . 1457
Rewrite 1665 as 9 . 185
= 9 . 1457x + 9 . 185
=9(1457x + 185)
Pam bought a pair of shoes on sale for $22.40. If this was 20%. Off the original price, find the original price of the shoes
Answer:
26.88
Step-by-step explanation:
20%*22.40=4.48
22.40+4.48=26.88
This is frying my brain, can anyone help and explain?
Answer:
1) Answer is D
2) Answer is C
3) Answer is D
Step-by-step explanation:
Problem 1
Since we are given 12 numbers to choose from, there's a 2/12 chance of selecting a 2. Additionally, there's a 3/11 chance of selecting a number divisible by 4 AFTER selecting a 2. Thus, since the two events are independent, their probabilities are multiplied, so the probability of selecting a 2 and then a number divisible by 4 is (2/12)(3/11) = 6/132 = 1/22, so option D is correct.
Problem 2
There's a 4/12 chance of selecting an odd number and a 6/11 chance of selecting an even number AFTER selecting an odd number (remember that 0 is neither even nor odd). Multiplying the probabilities, the probability of drawing an odd number and then drawing an even number is (4/12)(6/11) = 24/132 = 2/11, so option C is correct.
Problem 3
There's a 2/12 chance of selecting a zero and a 1/11 chance of selecting a second zero. Thus, multiplying their probabilities, the probability of drawing 2 zeroes is (2/12)(1/11) = 2/132 = 1/66, so option D is correct.
Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost $15. For one performance, there were 65 tickets sold in all, and the total amount paid for them was $1500 . How many tickets of each type were sold?
The advance tickets were 35 in number and the same day ticket will be 30 in number.
What will be the number of tickets?To find out the number of the tickets sold we will give some notations so the notations are as follows:-
A= Cost of advance tickets=$30
S= cost of same-day ticket-=15
[tex]N_A=[/tex] Number of the advance tickets
[tex]N_S=[/tex]Number of same-day tickets.
The equations made by the given data will be:-
[tex]30N_A+15N_S=1500\\\\\\N_A+N_S=65[/tex]
By solving the above equations:-
[tex]N_S=30\ \ \ \ \ \ N_A=35[/tex]
Hence the advance tickets were 35 in number and the same day ticket will be 30 in number.
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Slope intercept form of an equation of a line
Answer:
Step-by-step explanation:
4a. yes: 5 = 3(2)-1 5 = 6 - 1 5 = 5
4b. No: 1 = 3(4) + 1
1 = 12 + 1
1 ≠ 13
4c. No; 1 = 3 - 3
1 ≠ 3
4d. yes; 7 = -3(5) + 22
7 = -15 + 22
7 = 7
4e. no; -8 = -2(-4)
-8 ≠ 8
4f. no; 8 = -2 + 11
8 ≠ 9
Jack's bicycle has a mass of 9 kilograms. What is the
mass of Jack's bicycle in grams?
Answer:
9000 grams
Step-by-step explanation:
1 kg = 1000 g
1 * 9 kg = 1000 * 9 g
9 kg = 9000 g
What is the value of tan(60°)?
A
01
12
300
03
03
2.
В
60°
6
п
с
Answer:
√3 is the answer
Step-by-step explanation:
the value of tan60 is √3
Help please
50 points
Answer:
The answer would be B
Step-by-step explanation:
The rectangular prism below has a base area of 44 units2 and a height of 6 units. Find
its volume.
The volume of the rectangular prism given its base area and its height is 264 units³.
What is the volume?A rectangular prism is a three-dimensional object that has six faces, 12 sides and 6 vertices.
Volume = length x width x height
base area x height
44 x 6 = 264 units³
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Graph: f(x) = (1/4)x
Step 1: Calculate the initial value of the function. f(0) =
Step 2: Plot the initial value of the function at (0, 1).
Step 3: Evaluate the function at two more points. f(1) = 1/4 f(-1) = 4
Step 4: Plot the points (1, 1/4) and (-1, 4)
Step 5: Identify the horizontal asymptote of the function. The asymptote is the line y = 0
Step 6: The smooth curve that includes these points and approaches the asymptote shows the graph of the function
The initial value of the function is f(0) = 1 and the graph of the function has been attached.
How to interpret graphs of functions?We are given the function f(x) = (1/4)ˣ
1) Now, the initial value of the function is;
f(0) = (1/4)⁰ = 1
2) The initial value of the function which is the coordinate (0, 1) can be plotted on the attached graph and the point is where the graph crosses the y-axis.
3) f(1) = (1/4)¹ = 1/4
4) The points (1, 1/4) and (-1, 4)
5) The horizontal asymptote will be a vertical line which will be the value of x when y = 0.
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Jen spent $12 on school supplies. Percy spent 3 times as much on school supplies, and also bought a reusable water bottle for $6. How much money did Percy spend?
1 block is labeled Jen's purchase, 12 dollars. A rectangle divided into 4 blocks is labeled Percy's purchase. 1 of the blocks is labeled 6 dollars. 12 times 3 = 36. 36 minus 6 = 30.
What error did Percy make in his calculation? its C i guessed it correct
Answer:
12 * Answer:
12 x 3 = 36 + 6 = 42,
Step-by-step explanation:
Step-by-step explanation:
. Use the vectors v = -i +2j and w= -3i + 4j to find 5v + 8w.
O-29i+42j
O 10i-16j
O-4i + 7j
O2i+ 6j
put values
5(-i+2j)+8(-3i+4j)Do like you do algebraic addition
-5i+10j-24i+32j-5i-24i+10j+32j-29i+42jOption A
What comes next in this pattern? 7/2, 6/3, 5/4, ... 4/9 4/7 4/5
Answer:4/3
4/3
Step-by-step explanation:
the camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?
Answer:
38.88
Step-by-step explanation:
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
How do I solve
[tex]2x^{2}+5x+2=0[/tex]
see the attachment...
hope it helps...!!!
Answer:
There are two solutions.
[tex]x_1 = -0.5\\x_2 = -2[/tex]
Step-by-step explanation:
Step 1
Use the formula of ax^2 + bx + c = 0 to find the coefficients.
[tex]a = 2\\b = 5\\c = 2[/tex]
Step 2
[tex]x=\frac{ (-b+/-sqrt(b^2-4ac))}{(2a)}\\x=\frac{ (-5 +/- sqrt(5^2-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-4*2*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(25-8*2))}{(2*2)}\\x=\frac{(-5 +/- sqrt(9))}{(2*2)}[/tex]
[tex]x = \frac{-5 +/- \sqrt{9} }{4}[/tex]
Step 3
[tex]9 = 3^2\\\sqrt{9} = \sqrt{3*3}\\\sqrt{3*3} = \sqrt{3^2}\\\sqrt{3^2} = 3[/tex]
Step 4
[tex]x_1=\frac{(-5+3)}{4} -- > x_2=\frac{(-5-3)}{4}\\x_1=\frac{(-5+3)}{4}\\x_1=\frac{-2}{4}\\x_1=-0,5[/tex]
[tex]x_2=\frac{(-5-3)}{4}\\x_2=\frac{(-8)}{4}[/tex]
[tex]x_2=-2[/tex]
Hope this helps.
A right triangular prism and its net are shown below.
(All lengths are in centimeters.)
Answer:
Below in bold.
Step-by-step explanation:
a) The rectangle in the middle of the net is 10 cm long.
A = 8
B = 3
C = 6
D = 10
b) Surface area
= 3*6 + 3*10 + 3*8 + 2 * 1/2 + 8 * 6
= 18 + 30 + 24 + 48
= 120 cm^2
[tex]sa = bh + ( b_{1} + b_{2} + b_{3})l[/tex]
[tex]sa = 6(8) + (6 + 8 + 3) \times 10[/tex]
[tex]sa = 48 + (17)(10)[/tex]
[tex]sa = 48 + 170[/tex]
[tex]sa = 220 \: {cm}^{2} [/tex]
ANSWER THIS CORRECTLY FOR BRAINLIEST (algebra)
Answer:
267.95 cubic meters
Explanation:
volume of sphere: (4/3)π(radius)³
Here given:
radius: 4 meterVolume:
(4/3)π(radius)³insert values
(4/3)(3.14)(4)³simplify
(4/3)(3.14)(64)final answer
267.95 cm³Answer:
V = 267.95
Step-by-step explanation:
The equation to find the volume of a sphere is:
V = [tex]\frac{4}{3} \pi r^{3}[/tex]
r = radius
In the diagram of the question it shows that the radius is 4 m. Plug this into the equation:
[tex]V=\frac{4}{3} (3.14) (4)^{3}[/tex]
Use a calculator to find the answer and then round to two decimal points:
V = 267.95
Hope this helps!!
Write 6 41 100 as a decimal number.
Answer:
From my calculation I think it is 6.4×10^5
It is in standard form
OR
641100÷100,000=6.411
I'm not sure yet,but you can confirm it
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\textbf{Assuming:}[/tex]
[tex]\mathsf{6\dfrac{41}{100}}[/tex]
[tex]\huge\textbf{If so:}[/tex]
[tex]\mathsf{6\dfrac{41}{100}}[/tex]
[tex]\mathsf{= \dfrac{6 \times100 + 41}{100}}[/tex]
[tex]\mathsf{= \dfrac{600 + 41}{100}}[/tex]
[tex]\mathsf{= \dfrac{641}{100}}[/tex]
[tex]\mathsf{= 641\div100}[/tex]
[tex]\mathsf{= 6.41}[/tex]
[tex]\huge\textbf{Therefore, your answer should be: \boxed{\mathsf{6.41}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which is not a reason an athlete uses technology to assess performance?
A. To monitor development.
B. To tailor to their training program.
C. To send to college recruiters.
D. To analyze technique.
The reason for which an athlete does not use technology to assess performance is To send to college recruiters.
What is technology?Technology is the culmination of collected knowledge and the application of skills, methods, and procedures utilized in manufacturing and scientific research. Technology is incorporated into the functioning of all machinery, with or without a thorough understanding of its function, for an organization's stated purpose.
The reason for which an athlete does not use technology to assess performance is To send to college recruiters.
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If f is translated 4 units down to create g, which function represents g? A. g(x) = f(x) + 4 B. g(x) = f(x) - 4
Answer:
g(x) = f(x) - 4.
Step-by-step explanation:
4 down = -4
g(x) = f(x) - 4.
what is the angle in degrees between two consecutive spokes if there are 24 spokes in a wheel?
Answer:
15
Step-by-step explanation:
- 360 degrees in a complete circle you divide it by 24
360/24=15
i’m really stuck here
Answer:
sin(t) = 4*sqrt(5) / 21; cos(-t) = 19/21
Step-by-step explanation:
think of a right triangle with an adjacent leg a, opposite leg b, and hypotenuse c.
cos(t) = a/c = 19/21. so we can assume a=19 and c=21.
using Pythagorean's theorem, find b: b = sqrt(21^2 - 19^2) = 4*sqrt(5) or 8.944
since tan(t)> 0, b/a > 0 and a is positive so b must be positive. using this information, we know sin(t) = b/c = 8.944/21 or 4* sqrt(5) / 21
since cos x is an even function, cos(-x) = cos x so cos(-t) = cos(t) = 19/21
In a particular region, for families with a combined income of $80,000 or more, 20% have no children, 30% have one child, 40% have two children, and 10% have three children. Use this information to construct the probability distribution for X, where x represents the number of children per family for this income group. Arrange x in increasing order and write the probabilities P(x) as decimals.
The probability distribution for x will be given below.
x 0 1 2 3
P(x) 0.20 0.30 0.40 0.10
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
In a particular region, for families with a combined income of $80,000 or more, 20% have no children, 30% have one child, 40% have two children, and 10% have three children.
Let x be the number of children per family.
We have to construct a probability distribution for x from the given information.
x = 0, 1, 2, 3
For x = 0, the probability will be
P(x) = 20 / 100 = 0.20
For x = 1, the probability will be
P(x) = 30 / 100 = 0.30
For x = 2, the probability will be
P(x) = 40 / 100 = 0.40
For x = 2, the probability will be
P(x) = 10 / 100 = 0.10
Then the probability distribution for x will be given as
x 0 1 2 3
P(x) 0.20 0.30 0.40 0.10
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Select the correct answer.
Given: , and
Prove:
Statements Reasons
vertical angles theorem
given
given
alternate interior angles theorem
??
definition of congruence
Which step is missing in the proof?
Based on the SAS congruence criterion, the statement that best describes Angie's statement is:
Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.
An included angle is found between two sides that are under consideration.
See image attached below that demonstrates two triangles that are congruent by the SAS Congruence Theorem.
Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.
The one pair of corresponding angles that are congruent MUST be "INCLUDED ANGLES".
Therefore, based on the SAS congruence criterion, the statement that best describes Angie's statement is:
Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.
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