Answer:
\(\huge \boxed{\mathrm{4}} \\ \huge \boxed{\mathrm{2}}\)
Step-by-step explanation:
Rate of change is another term for the slope.
rate of change = slope = (change in y)/(change in x)
Function A:
y = mx + b (m = slope)
y = 4x - 3
Function A has a slope of 4.
The rate of change for function A is 4.
Function B:
Take two points.
(-1, 0) and (1, 4)
slope = (y2 - y1)/(x2 - x1)
slope = (4 -0)/(1 - -1)
slope = 4/2 = 2
The rate of change for function B is 2.
A mason has 7,758 bricks that he needs to share equally among 9 dierent building sites. How many bricks should go to each site?
Answer:
The answer is 862
Step-by-step explanation:
All you have to do is divide 7758 by 9 which would equal 862. Hope this helps.
Bally Manufacturing sent Intel Corporation an invoice for machinery with a $14,000 list price. Bally dated the invoice July 23 with 2/10 EOM terms. Intel receives a 40% trade discount. Intel pays the invoice on August 5. What does Intel pay Bally?
The amount of money Intel pay Bally is given by the equation A = $ 8,232
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount be represented as A
Now , the equation will be
The total invoice amount = $ 14,000
The trade discount given by Intel = 40 %
So , the amount of discount = trade discount x total invoice amount
Substituting the values in the equation , we get
The amount of discount = ( 40/100 ) x 14000
The amount of discount = 0.4 x 14000
The amount of discount = $ 5600
So , the amount after 40 % discount = total invoice amount - amount of discount
Substituting the values in the equation , we get
The amount after 40 % discount = 14,000 - 5,600
The amount after 40 % discount = $ 8,400
And , 2/10 means 2%discount if the amount received within 10 days
So , the amount after 2 % discount = amount after 40 % discount - ( 2/100 ) x amount after 40 % discount
Substituting the values in the equation , we get
The amount after 2 % discount A = 8400 - 0.02 x 8400
The amount after 2 % discount A = $ 8400 - $ 168
The amount after 2 % discount A = $ 8,232
Hence , the amount is $ 8,232
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What are the 2  formulas to find the area of a circle
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
What is the area of a circle?The area of a circle is given by the formula A = πr², where r is the radius of the circle.
According to the given information:The area of a circle can be found using either of the following formulas:
\(\pi r^2\), where π (pi) is a mathematical constant approximately equal to 3.14159 and r is the radius of the circle.
\(A = (d/2)^2π,\) where d is the diameter of the circle. This formula can also be written as \($A = r^2\pi$\), where r is the radius of the circle and A is the area.
Both formulas are equivalent and can be used interchangeably, depending on the given information about the circle.
Therefore, according to the given information, The formulas to find the area of a circle are\(\pi r^2 and (d/2)^2\pi or r^2\pi\).
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HELP ME PLZ WILL MARK U AS BRAINLIEST
Answer:
yes
Step-by-step explanation:
the difference of mean is 10.5
the mean for Mrs.S was 26.7 while for Mr.C it was 37.2.
using this info we can infer that Mr.C uses 10-11 more textbooks monthly
Which best compares the volumes of the two cylinders? Geometry
Answer:
The correct answer would be C
Step-by-step explanation:
please mark brainliest
The choice which best compares the volume of the cylinders is; Choice B; The volume of cylinder B is the same as that of cylinder A.
Which best compares the volumes of the two cylinders?From geometry, It can be concluded that the volume of a solid shape is the product of its cross sectional area and the height over which the area spans. On this note, since the volume of a cylinder is dependent on the radius and height of the cylinder, both cylinders have equal volumes.
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Mr. Olsen has a computer business in which he sells everything at 44.5% above the wholesale price. If he purchased a printer for $80 wholesale, what will be the retail price?
If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Mr. Olsen has a PC business wherein he sells everything at 44.5% above the wholesale price. On the off chance that he bought a printer for $80 wholesale.
Then the retail price is given as,
⇒ $80 x (1 + 0.445)
⇒ $80 x 1.445
⇒ $115.60
If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.
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Peyton says the sum of two numbers can never be zero. Explain why Peyton's reasoning is incorrect. Use a model. show your work
Answer:
Peyton says that the sum between two numbers can never equal zero. But this is incorrect, because it does not take into account the existence of negative numbers, that is, the possibility that one of the numbers involved in the addition operation is a number less than 0. Thus, every negative number at If the same number is added but in positive values, the number 0 will be the result of said mathematical operation.
For example, in the following mathematical operation this situation is verified: -5 + 5 = 0.
Kate ordered a set of beads. She received 40 beads in all. 12 of the beads were blue. What percentage of the beads were blue?
Answer Qucikly
Answer: 30%
Step-by-step explanation:
12/40 = 3/10 = 0.30
0.30*100 = 30%
Nya buys tea for $3.51 and juice for $2.28. estimate how much more she spends on tea than juice
1. Between $1 and $2
2.Less than $1
3. Between $2 and $3
Answer:
1
Step-by-step explanation:
First round up (or down) the prices for the tea and juice.
3.51 --> $4
2.28 --> $2.3 or $2
4-2.3=1.7
4-3= 1
$1-$1.7
The pentagons ABCDE and JKLMN are similar.
Find the length x of JK.
The value of x in the pentagon JKLMN is 7.2.
What is Polygon?A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
The pentagons ABCDE and JKLMN are similar.
when two figures have the same shape but their sizes are different, then such figures are called similar figures.
We need to find the value of x.
1/1.8=4/x
Apply cross multiplication
x=4×1.8
x=7.2
Hence, the value of x in the pentagon JKLMN is 7.2.
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Two hens can lay 2 eggs in 2 minlutes if that is the maximum speed how many hens can lay 500 eggs in 500 minutes
between what two consecutive integers must log2(17) lie
Answer:
4 and 5
Step-by-step explanation:
For answering questions like this, it can be useful to remember a few of the powers of small integers:
2^4 = 16
2^5 = 32
Exponents and logarithmsA logarithm can be considered to be an exponent of the base.
\(\log_b(x) = a \ \Longleftrightarrow\ b^a=x\)
The ordering of powers of 2 relative to the number of interest (17) is ...
16 < 17 < 32
2⁴ < 17 < 2⁵ . . . . . . . . . . . . . . . . . . . expressed as powers of 2
log₂(2⁴) < log₂(17) < log₂(2⁵) . . . . . log₂ of the above inequality
4 < log₂(17) < 5 . . . . . . . . . . . . . . . . showing the values of the logs
Log₂(17) lies between 4 and 5.
__
Additional comment
Using the "change of base" formula, you can use a calculator to find the value of log₂(17). It shows you the value is between 4 and 5.
log₂(17) = log(17)/log(2) . . . . . . using logs to the same base
10. Elvira has 3 caps: one red, one green, and one blue. She also has two green 1-shirts, one blue I-shirt
and 3 black T-shirts. Elvira considers it a faux pas to ever be seen wearing blue and green at the same
time. What is the probability that Elvira will commit a fashion faux pas, if she randomly reaches into
her dresser and selects a cap and a T-shirt?
Answer:
i would help you but i dont know thw ansewer
Step-by-step explanation:
Pls help with this question pictured below.
The implicit derivative is given as follows:
dx/dt(x = 4) = 1/12.
How to obtain the implicit derivative?The function in this problem is given as follows:
y = 3x² + 1.
The implicit derivative, relative to the variable t, is given as follows:
dy/dt = 6x dx/dt.
(the derivative of the constant 1 is of zero).
The parameters for this problem are given as follows:
x = 4, dy/dt = 2.
Hence the derivative is obtained as follows:
2 = 6(4) dx/dt
dx/dt = 2/24
dx/dt = 1/12.
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Question Let S be the event that a randomly chosen voter supports the president. Let W be the event that a randomly chosen voter is a woman. Identify the answer which expresses the following with correct notation: The probability that a randomly chose voter is a woman given that the voter supports the president Select the correct answer below: PWS PLS AND W) PW) AND PSY PS
The probability that a randomly chosen voter is a woman, given that the voter supports the president is P(W|S). thus P(W|S) is the answer.
Probability: Probability is the study of random events and the quantification of the likelihood or chance of an event occurring, expressed as a number between 0 and 1.
Given that:
S be the event that a randomly chosen voter supports the president.
w be the event that a randomly chosen voter is a woman.
the probability that a randomly chosen voter is a woman, given that the voter supports the president is P(W|S)
P(W|S)=P(W ∩ S)/P(S)
Hence, the correct notation is P(W|S)
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example on how you will use statistics and probability in real life situations as a student
Answer:
weather forecasting, health insurances
Step-by-step explanation:
probability is used by weather forecasters to assess how likely it is that there will be rain, snow, clouds, storms, etc. on a given day in a certain area. health insurance also uses statistics and probability to determine how likely it is that certain people will spend a certain amount on healthcare each year.
I need help! ANSWER THIS QUICK
Answer:
Step-by-step explanation:
Diameter = 84 km
Radius = 84/2 = 42 km
Area of circle = πr²
= 3.14 * 42 * 42
= 5538.96 km²
What is the degree of this monomial? 20x
Answer:
1
Step-by-step explanation:
answer this please!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
200
Step-by-step explanation:
\(a^{2}\) + \(b^{2}\) = \(c^{2}\)
\(120^{2}\) + \(160^{2}\) = \(c^{2}\)
14400 + 25600 = \(c^{2}\)
40000 = \(c^{2}\)
\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)
200 = c
Jesus love you.
How many grams in one dose of medicine?
Answer:
65
Step-by-step explanation:
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Plz help because this assignment is due in 20 minutes!!!!!!!
Answer:
261.8 in^3
Step-by-step explanation:
The volume of a right circular cone is \(V=\frac{1}{3} \pi r^2h\).
r is the radius of the circular base (r = 5 in this problem), and h is the height (h = 10 in this problem.
\(V=\frac{1}{3} \pi (5^2)(10)=\frac{1}{3}(250\pi) \approx 261.8\text{ in}^3\)
10. Wnte an equation in point-slope form for the lne through the given point with the given slope.
(-3,-5);m=-2/5
A. Y+5=-2/5(x+3)
B. Y+5=(-2/5)x-3
C. Y-5=-2/5(x+3)
D. Y-5=-2/5(x-3
Answer:
We conclude that an equation in the point-slope form will be:
y+5 = -2/5 (x+3)
Hence, option A is true.
Step-by-step explanation:
We know that the point-slope form of the line equation is
\(y-y_1=m\left(x-x_1\right)\)
where m is the slope of the line and (x₁, y₁) is the point
Given
point (-3, -5)slope m = -2/5substituting the values m = -2/5 and the point (-3, -5) in the point-slope form of the line equation
\(y-y_1=m\left(x-x_1\right)\)
y - (-5) = -2/5 (x-(-3))
y+5 = -2/5 (x+3)
Therefore, we conclude that an equation in the point-slope form will be:
y+5 = -2/5 (x+3)
Hence, option A is true.
A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 28
stores this year shows mean sales of 64 units of a small appliance, with a standard deviation of 13.8 units. During the same point in time last year, an SRS of 28 stores had mean sales of 48.958 units, with standard deviation 15.4 units. An increase from 48.958 to 64 is a rise of about 24%.
1. Construct a 99% confidence interval estimate of the difference μ1−μ2
μ1−μ2, where μ1 is the mean of this year's sales and μ2 is the mean of last year's sales.
(b) The margin of error is
2. At a 0.01 significance level, is there sufficient evidence to show that sales this year are different from last year?
Answer:
Confidence interval = (4.61972, 25.46428)
Margin of Error = 3.9078675
Step-by-step explanation:
Given that :
This year:
Mean (μ1) = 64
Standard deviation (s1) = 13.8
Sample size (n1) = 28
Last year:
Mean (μ2) = 48.958
Standard deviation (s2) = 15.4
Sample size (n2) = 28
99% confidence interval estimate of the difference μ1−μ2
α = 1 - 99% = 0.01
(μ1−μ2) ± t0.01,27 * (√s1²/n1 + s2²/n2)
t0.01, 27 = 2.770683 (t value calculator)
√s1²/n1 + s2²/n2 = √13.8^2/28 + 15.4^2/28 = 3.9078675
(64 - 48.958) ± 2.667(3.9078675)
15.042 ± 10.42228
(15.042 - 10.42228), (15.042 + 10.42228)
(4.61972, 25.46428)
The margin of error :
√(s1²/n1) + (s2²/n2)
√(13.8^2/28) + (15.4^2/28)
√(6.8014285 + 8.47)
√15.2714285
= 3.9078675
find the exact value of tan -75
-
At x=3 the function given by f(x) {x^2, x>3
6x-9x>3
=
Which sequence is modeled by the graph below? (6 points)
Answer:
Step-by-step explanation:
on a 28 question test there are 2-point questions, 4-point, and 5- point questions. the test is worth a total of 100 points. there are twice as many 2 point questions as 5point questions on the test how many 2point questions are on the test
Answer:
Number of 2-point questions on the test as per given condition is equals to 8.
Total number of questions in a test = 28
Total points allotted for test = 100
Questions distribution as per points :
2-point questions, 4-point questions, and 5-point questions
'x' represents the 5-point questions
As per condition given,
Number of 2-point questions = 2x
Number of( 2-point + 4-point + 5-point ) questions = 28
⇒ 2x + 4-point questions + x = 28
⇒ 4-point questions = 28 - 3x
Substitute the value in the given condition of the equation we get,
2(2x)+4(28-3x)+5(x) = 100
4x+112-12x+5x=100
112-3x=100
x=4
Can you help me please here is the image
Answer: D all of the above
Step-by-step explanation:
A. you can see that the majoritie of the area is dessort becuase of the long expance of lack of vegitation and water
B. Because there is no other water sourses the cities would have to be along water
C. Along the nile river is vegitation
D. Must be D.
write sin 81 degrees in terms of cosine
Answer:
Sine, cosine and tangent formulas are used in RIGHT triangles. So you have one 90 degree angle and two acute angles that add up to 90 degrees (they are complimentary). So the cosine of one angle would be the same as the sine of the compliment to that angle... and vice versa. To answer this question, sin 81 = cos 9, since 81 and 9 are the two acute angles of the triangle and they both add up to 90 degrees. "Cos 9" is the answer when you wish to write "sin 81" in terms of "cosine."
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sine 81 degrees in terms of cosine is cos 9°
sin 81°
Trigonometric function:The angle is less than 90 degrees.it is an acute angle. Therefore, its in the first quadrant. The first quadrant, sine, cosine and tangent are positive.
sin 81° is less than 90 degree. Therefore, let's express them in terms of a cofunction.
Therefore,
sin x = cos(90 - x)
sin 81 = cos(90 - 81)
Therefore,
sin 81° = cos 9°
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