The new y-intercept of the function is (0. -5)
How to determine the new y-intercept?From the question, we have the following parameters that can be used in our computation:
f(x) = 2/3|x + 4}
y-intercept = (0. 4)
The function is translated by
9 units down
This is represented as
(x, y) = (x, y - 9)
Substitute the known values in the above equation, so, we have the following representation
New y-intercept = (0. 4 - 9)
Evaluate
New y-intercept = (0. -5)
Hence, the new y-intercept = (0. -5)
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you buy a shirt that is on sale for 30% off. the original price is $22.40. your friend wants to know the sale price of the shirt. how can your friend find the sale price?
The sale price of the shirt can be found by calculating 30% of the original price, which in this case would be $22.40 x 0.30 = $6.72. Thus, the sale price of the shirt would be $22.40 - $6.72 = $15.68.
Given F (0, 2) and G (2,6), if point S lies 1/3 of the way along FG, closer to F than to G, find the coordinates of S. Leave your answer in fraction form.
The coordinates of S(x₁, y₁)=(3/2 , 5) if F(0, 2) and G(2,6) and the lines divided in the ratio 1:3
What is a section formula?Finding the ratio by which a line segment is divided by a point internally or externally in coordinate geometry is done using the Section formula. The centroid, incenter, and ex center of a triangle are determined using it. Finding systems' centers of mass, equilibrium locations, etc. are all done using this method in physics. Finding the ratio by which a line segment is divided by a point internally or externally in coordinate geometry is done using the Section formula. The centroid, incenter, and ex center of a triangle are determined using it.
Given,
F(0, 2) and G(2, 6)
And also given that the points S lies on the way along FG then:
The lines divides the ratio,
1:3= m:n
Here we have to find the coordinates of S, we get:
S(x₁, y₁)=((mx₁+n x₂)/(m+ n), (my₁+n y₂)/(m+ n))
=((1(0)+3(2))/4 , (1(2)+3(6))/4)
=(6/4 , 20/4)
=(3/2 , 5)
S(x₁, y₁)=(3/2 , 5)
Therefore, the coordinates of S(x₁, y₁)=(3/2 , 5).
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Answer:
S(2/3, 10/3)----------------------------------
Given
Points F(0, 2) and G(2,6).We need to find the point S(x, y) which makes FS = 1/3 FG.
Each coordinate of S is at 1/3 FG distance from F.
Find values of x and y:
x = 0 + 1/3(2 - 0) = 0 + 2/3 = 2/3y = 2 + 1/3(6 - 2) = 2 + 4/3 = 10/3So the point S is at (2/3, 10/3).
Write the rational number 2.5 using quotients of the form p/q. Use the integers below.
-15 -6 -5 -2 2 5 6 15
The value of the number will be;
⇒ 5/2
What is Rational number?A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.
Given that;
The rational number is,
⇒ 2.5
Now,
Since, The rational number is,
⇒ 2.5
Hence, We get;
⇒ 2.5 = 25/10
= 5/2
Thus, The value of the number = 5/2
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The diameter of a circle is 3 ft. Find its area to the nearest whole number.
Answer:
7.065
Step-by-step explanation:
So, to find the area of a circle you need to use "A = π r2"
First, we have to find out the radius of the circle, so cut the diameter in half, that will equal 1.5 ft
then, you put 3.14 (pi) into a calculator
then put (1.5 x 1.5) which is 1.5 to the second power.
the equation put together will be 3.14 (1.5 x 1.5)
So the answer will be 7.065
Refer to the golden ticket parking lottery example (page 296). At the following month's school assembly, the two lucky winners were once again members of the AP Statistics class. This raised suspicions about how the lottery was being conducted. How would you modify the simulation in the
example to estimate the probability of getting two winners from the AP Statistics class in back-to-back
months just by chance?
Answer: i dont kno man
Step-by-step explanation:
Find the critical z value for a confidence level of 85%. (round answer to 2 decimal places)
. I want to know what Z-table to use and how to read it because it get me confused in reading the z table to answer this type of question
Using a z-table for the value, the critical z-value for a confidence level of 85% is; ±1.439.
How to find the critical z-value?The critical value of a distribution is defined as the value beyond which the rejection region lies.
Now, for a confidence interval , the rejection region lies beyond two values, the positive and the negative critical value.
We are given that the confidence level is 85%.
Thus, the computation of the critical value of z for 85% confidence level is expressed as follows;
±z_α/2 = ±z_0.15/2
This is simplified to get;
±z_0.075 = ±1.439
That value is concluded to be the critical z-value at the given confidence level.
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What is the formula for simple interest?
a. (rate) x (interest) - (principal) x (time)
b. Interest - (principal) x (rate) x (time)
C.
interest
rate
d. rate= (interest) x (principal) x (time)
principal
time
Answer: C
Step-by-step explanation:
The manager of Jim's Grill tracked and charted how many customers they have to better schedule her staff. Based on the graph, about how many customers are in the restaurant at the slowest time of the , between the two peaks?
50 POINTSSSSSS ASAP!!!! 50 POINTSSSSSS ASAP!!!! 50 POINTSSSSSS ASAP!!!! PLEASE HELP
Which scatterplot(s) show a positive linear association between the variables?
A.
Table A only
B.
Neither table
C.
Table B only
D.
Both tables
Answer:
Step-by-step explanation:
I'd say c.) table b only. Because it's a straight line which I think is positive but i'm not sure about the association between the variables part. If wrong I'm sorry.
You have $1200 and a few different investment choices for the money. Below are a series of descriptions of investments, and equations that match with some of the descriptions. Please drag the equations to match the descriptions.
Compound interest equation:
[tex]A = P(1 + r/n)^{nt}[/tex],Where A - future value, P - invested amount, r- rate, n- number of compounds per year, t- years.Find equations for each case below.
1) P = 1200, r = 0.09, n = 1, t = 15
Equation: A = 1200(1 + 0.09)¹⁵ = 1200(1.09)¹⁵2) P = 1200, r = 0.12, n = 4, t = 15
Equation: A = 1200(1 + 0.12/4)⁴*¹⁵ = 1200(1.03)⁶⁰3) P = 1200, r = 0.12, n = 12, t = 15
Equation: A = 1200(1 + 0.12/12)¹²*¹⁵ = 1200(1.01)¹⁸⁰4) P = 1200, r = 0.15, n = 2, t = 9
Equation: A = 1200(1 + 0.15/2)²*⁹ = 1200(1.075)¹⁸FluffytopFluffytopFluffytopFluffytop
Answer:
continue the streak:)
Step-by-step explanation:
fluffytopfluffytopfluffytopfluffytopfluffytopfluffytopfluffytopfluffytopfluffytop
hoped this helped:)
brainliest for the brains lol
is this statistical, what is the total number of eggs in dozen?
one angle the triangle measures 10° Greater the smallest angle and the third angle measures 10° less than twice the smallest angle find the measurement of the three angles
The measure of three angles of triangle are 45°, 55° and 80°.
What is angle sum property of a triangle?Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
Let the smallest angle of triangle be x.
One angle the triangle measures 10° greater the smallest angle, that is x+10°
The third angle measures 10° less than twice the smallest angle.
The third angle is 2x-10°
Now, x+2x-10°x+10°=180°
⇒ 4x=180°
⇒ x=45°
So, 2x-10°=80° and x+10°=55°
Therefore, the measure of three angles of triangle are 45°, 55° and 80°.
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A 55 inch pipe is cut into two pieces. One piece is four times the length of the other find the length of the shorter piece.
Answer:
11 inches
Step-by-step explanation:
4x + x = 55 Combine like terms
5x = 55 Divide both sides by 5
x = 11 This is the length of the shortest piece the other piece is 44 4(11)
Answer:
11 inches, 44 inches
Step-by-step explanation:
First of all, we need to make this equation, into an algebraic one:
4x + x = 55
The x represents the number of inches for the rope.
Now you simplify:
5x = 55
This equation can be simplified to a regular division problem:
55/5 = x
Using basic division, x is equal to 11 inches.
Now, this is just the shorter rope.
Note that the other piece is 4 times larger than the short one:
4 x 11 = 44
Thus 11 inches and 44 inches is the answer
245 as a reduced fraction
The reduced fraction of 0.245 is 49/200.
What is the greatest common factor (GCF)?
A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4. Since four is the largest, we refer to the GCF of 12, 20, and 24 as four. Frequently, GCF is used to identify common denominators.
We have,
0.245
Write 0.245 as
0.245 / 1
Multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.245/1
= 0.245 x 1000 / 1 x 1000
= 245 / 1000
In order to reduce the fraction find the Greatest Common Factor (GCF) for 245 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
The factors of 245 are: 1 5 7 35 49 245
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The Greatest Common Factor (GCF) for both 245 and 1000 is: 5
Now to reduce the fraction we divide both the numerator and denominator by the GCF value.
245/ 1000
= 245 ÷ 5 /1000 ÷ 5
= 49 / 200
The decimal part is: 0.245 = 245/1000
Full simple fraction breakdown: 245/1000
= 49/200
Hence, the reduced fraction of 0.245 is 49/200.
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Use point-slope form to write the equation of a line that passes through the point
(9, 15) with slope -4/3
Answer:
Hope it helps
Step-by-step explanation:
y - 15 = -4/3(x - 9)
bella answered 33 questions on her math test. she earned a 92% on the test. how many questions did she answer correct
Answer: 30.36
Step-by-step explanation:
92% of 33 is 30.36. I don't know how Bella got 30.36 questions correct, but that is what I got.
What is 45 less than the product of 18 and a number written as an algebraic expression? 18n − 45 45 − 18n 18(n − 45) n(18 − 45)
The algebraic expression 18n - 45 is correct for the statement "45 less than the product of 18 and a number written as an algebraic expression"
Word problem in algebraWe can represent an unknown number using letters and then carry out basic mathematics operations to get the value of the unknown number.
Let us represent the unknown number with the letter "n"
The product of 18 and the number will be;
18 × n = 18n
45 less than the product of 18 and the number (n) is thus written algebraically as;
18n - 45
Therefore, 45 less than the product of 18 and a number(n) is written as an algebraic expression as 18n - 45.
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A company manufactures small refrigerators. The total cost to manufacture 57 refrigerators is $6665. The total costs to manufacture 180 refrigerators is $18965. Assume that total cost, C, is linearly related to the number of refrigerators, x, the company manufactures and includes a fixed cost and a cost per refrigerator.
1.The total cost to manufacture 145 refrigerators is $
2.The fixed costs are $
3.The cost to produce each additional refrigerator is $
the cost of 145 refrigerators is $16954.82 and fixed cost rate per refrigerator is $116.92
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
A company manufactures small refrigerators. The total cost to manufacture 57 refrigerators is $6665.
manufacture 1 refrigerator is $6665/57 = $116.92
So to make 145 refrigerators the money will spent is $116.92*145= $16954.82
The fixed cost arte per refrigerator is $116.92
Hencve the cost of 145 refrigerators is $16954.82 and the fixed cost rate per refrigerator is $116.92
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Two cars leave town at the same time. One travels west at 56 mph, and the other
travels south at 42 mph. After one hour, how far apart are the cars?
ongo if starting in
The distance between the cars after a hour is 14 meters.
How to calculate the distance of the cars?Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.
In this case, the cars leave town at the same time. One travels west at 56 mph, and the other travels south at 42 mph.
With the speed, the total distance after an hour will be:
= 56 - 42
= 14 meters
The cars are 14 meters apart.
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Which of the following properly expresses the
verbal
statement "The square root of a number, x, is 5
less than
the sum of the number and 2" ?
F. √x = 5-(x + 2)
G√√√x = (x + 2)-5
"The square root of a number, x, is 5less than the sum of the number and 2" is √x = (x+2)-5
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given verbal statement is "The square root of a number, x, is 5
less than the sum of the number and 2"
The x is the given number.
So square root of a number, x means √x
5 less than the sum of the number and 2.
sum of the number and 2 means x+2 and 5 less than the sum of the number and 2 means (x+2)-5
So √x = (x+2)-5 is the equation.
Hence, √x = (x+2)-5 expresses the verbal statement "The square root of a number, x, is 5less than the sum of the number and 2"
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Which of the following proves these triangles are congruent
A. ASA
B. Not enough information
C. AAS
Answer:
not enough information
WILL SOMEONOE HELP ME WITH THIS SIMPLE GEOMETRY?
Answer:
Below
Step-by-step explanation:
If they are similar the ratios of their sides are similar
11 is similar to 43 as 8 is similar to OP
Set up a ratio of this statement:
11/43 = 8/OP then OP = 8 * 43/11 = 31.3 units
30-60-90 triangle question is in the image
Answer:
it is easy 56 and 45 and 567
Suppose particular plane needs to attain speed of k feet per second In order to take off: The plane can attaln that speed in 30 seconds Assume acceleration Is constant; v(o) = 0, and s(0) when answering the questlons below. Use lower case k. (a) Flnd formulas for acceleration_ velocity, and position of the plane_ Your answers will have k In It: a(t) Select-= v(t) Select s(t) Selec (D) If the plane accelerates to feet per second in 30 seconds how far will it travel In that time? Your answer will have k In It. feet (c) If a runway Is 3450 feet long and the plane uses the entire runway to take off, what Is the value of k?
Formula available for acceleration, velocity and position of plane are
k²=2as, k=30a, s=450a and the value of k is 230 ft/sec
what is velocity?rate of changes of distances with respect to time.
what is acceleration?rate of changes of velocity with respect to time.
Given, final velocity, v= k ft/s
time needed to attain speed k is 30 s
time, t= 30 sec
acceleration, a = constant
initially at time t=o, velocity and distance travel by aircraft was also o
initial velocity u =0, distance s = 0
as per the formula regarding velocity, distance, time and acceleration
v² = u²+2as
as per the question final velocity v= k, initial velocity u=0
k² = 2as
again, the formula v= u+at
the velocity of v after 30 second
k= a×30
acceleration, a= k/30
from the other formula, s=ut+1/2×at²
distance travel by aircraft after 30 second with initial velocity 0.
s= u×0+1/2×a(30) ²
s= 450a
previously we got a=k/30
now, s =450×k/30= 15k
if the runway is 3450 feet long and the plane needs to use the entire runway to take off then the value of k will be
s=15k
k=230 ft/sec
hence, the value of k is 230 ft/sec
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25. If 5F+8/G =3R-1/S
is solved for F, then F =
After solving the equation the value of F = (3GR -G - 8S) / 5S
Define Algebraic Expression
In mathematics, an expression that includes variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.)
Given expression is,
5F + 8 / G = 3R - 1 / S
Multiply both side by G
( 5F + 8 / G ) * G= (3R - 1 / S) * G
Simplify it,
5F + 8 = G(3R - 1) / S
Now, solve for F
5F = (3GR - G / S )- 8
5F = 3GR - G - 8S / S
F = 3GR - G - 8S / 5S
Hence, After solving the equation the value of F = (3GR -G - 8S) / 5S
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What equation is equivalent?
Answer:
B: y=2/3-5x
Step-by-step explanation:
15x+3y=2
-15x. -15x
3y=2-15x
/3 /3. /3
y=2/3-5x
so B is the correct answer
hopes this helps please mark brainliest
Answer:
D
Step-by-step explanation:
Based on the information provided, it appears that the correct answer would be option D: y=2 - 15x. This can be determined by solving the given equation for y by isolating the y-term on one side of the equation. To do this, you can subtract 15x from both sides of the equation, resulting in y = 2 - 15x.
Here is the complete process for solving the equation:
Begin by subtracting 15x from both sides of the equation:
15x + 3y = 2
-15x -15x
This simplifies to:
3y = 2 - 15x
Now, divide both sides by 3 to isolate the y-term:
3y/3 = (2 - 15x)/3
This simplifies to:
y = 2/3 - 15x/3
Finally, since 3 is a common factor, we can simplify the right side of the equation further by dividing both the numerator and the denominator by 3:
y = 2/3 - 15x/3
y = (2/3) / (3/3) - (15x/3) / (3/3)
y = (2/3) / 1 - (15x/3) / 1
y = 2/3 - 15x/3
y = 2/3 - 5x
Therefore, the equivalent equation is y = 2/3 - 5x, which is option D.
A 80 kg patient needs a medication X in the amount of 0.25 mg/kg/day. The medication comes in a liquid solution of 50 mg for every 10 ml. How many ml of this solution will this patient need in a day?
The 4ml of this solution, this patient will need in a day.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that 80 kg patient needs a medication X in the amount of 0.25 mg/kg/day.
The medication comes in a liquid solution of 50 mg for every 10 ml therefore,
0.25 x 80 = 20mg/day
50/10 = 5mg/ml
Then the patient need in a day;
20/5= 4ml
Theefore, The solution, this patient will need in a day is 4 ml.
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A teacher conducted an experiment to see if she was more likely to call on boys or girls in class. One day she recorded the number of times she called on boys in class and the number of times she called on girls in class. She found that out of 30 questions she asked, she called on girls 23 times.
To see if the results were typical, she ran 50 simulations and created a dotplot showing the number of times a girl was called on out of 30 questions. Were her results typical for that one day? Explain.
Responses
A Her results were not typical. She should have called on females fewer than 10 times since most of the data is centered around 10. Her results were not typical. She should have called on females fewer than 10 times since most of the data is centered around 10.
B Cannot be determined. You can not use a simulation to see if experimental results are typical. Cannot be determined. You can not use a simulation to see if experimental results are typical.
C Her results were not typical. Her results were on the high end. Based on the mean of the data, she should have called on females around 16 times.Her results were not typical. Her results were on the high end. Based on the mean of the data, she should have called on females around 16 times.
D Her results were typical. Most of the data on the dot plot falls between 17 and 28, and 23 lies right in the middle.
From the explanations, we can say that for the research experiment;
A Her results were not typical. She should have called on females fewer than 10 times since most of the data is centered around 10.
How to Interpret Research Experiment?Since the teacher is conduction the experiment to see if she was more likely to call on boys or girls in class, it means that there may have been some bias in the research.
The reason for the purposed bias comes from the she is also a female. However, it is not only just about genders only but which student was closer and as such if the teacher is female it’s more likely for a female student to be closer to her eye view whereas the boys may be in the back as usual and so 23 shows a typical expectation.
Now, looking at the options, we can say that the correct one is certainly.
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The owner of bookstore buys used books from customers for $1.50 each .the owner then resells the used books for 400% of the amount he paid for them.what is the price of a used book in this bookstore
The selling price of a used book at the store where the owner buys a used book for $1.50 and resells the used book at a price of 400% the price at which he buys the used book is $6.00
What is the selling price of a commodity?The selling price of an item is the price which is displayed on the item on the shelves of a store. The selling price is often different from the price at which the item is bought, or produced, which is often lesser than the price at which the item is sold.
The amount at which the owner buys each used books = $1.50
The amount at which the owner of the used book store sells the books = 400% of the amount he paid for the books
400% of an amount x is equivalent four times the amount. (4 × x)
The price at which the owner sells a used book at his store, P, is therefore;
P = 400% × $1.50 = 400/100 × $1.50 = $6.00
The price of a used book at the store is $6.0
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