From the given figure b is (-1, -2)
To dilate it by a scale factor of 1/2
Multiply -1 by 1/2 to get x
\(\begin{gathered} x=-1\times\frac{1}{2} \\ x=-\frac{1}{2} \end{gathered}\)Multiply -2 by 1/2 to get y
\(\begin{gathered} y=-2\times\frac{1}{2} \\ y=-1 \end{gathered}\)Solve ABC using diagram and the given measurement A=64 a=7.4
The value of angle ABC is 26°
What is a value ?
Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.
Values are the benchmarks or ideals by which we judge the acts, traits, possessions, or circumstances of others. Values that are embraced by many include those of beauty, honesty, justice, peace, and charity.
Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. Place value plus face value equals value.
to find the ∠ABC
we know ∠CAB = 64° and ∠BCA = 90°
let ∠ABC be x
x + 64 + 90 = 180
x = 180 - 64 - 90
= 26°
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solve fast please. its related to mathematics...
Answer:
The answer is 6
Step-by-step explanation:
\(\lim_{x \to 4} \frac{x^3 - 64}{x^2 - 16} \\\\= \lim_{x \to 4} \frac{x^3 - 64}{(x + 4)(x - 4)} \\\\=\lim_{x \to 4} \frac{(x^2 + 4x + 16)(x - 4)}{(x + 4)(x - 4)} \\\\= \lim_{x \to 4} \frac{(x^2 + 4x + 16)}{(x + 4)} \\\\= (16 + 16 + 16) / 8\\= 48 / 8\\= 6\)
Evaluate the piecewise function
The solution of the composite function fog(x) = 3x + 3 at x > 2.
What is composite function?Let the two function f(x) and g(x) generate a new function h(x) using an operation.
The operation is composition of functions and h(x) is a composite function.
We have three piecewise function.
First we have to show that,
the composite function,
fog(x) at x > 2.
For that,
g(x) at x > 2 is,
g(x) = 3x.
Now, f(g(x)),
= f(3x)
= 3x + 3 at x > 2.
Therefore, the function is fog(x) = 3x + 3.
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The complete question:
Find the fog(x) at x > 2
Shonna is reading a 528 page book she reads 22 pages every day how many days will it take Shana to read the entire booK
Your answer should be a polynomial in standard form. (-1+2p)(3-4p)=(−1+2p)(3−4p)
\(\\ \rm\Rrightarrow (-1+2p)(3-4p)=(-1+2p)(3-4p)\)
\(\\ \rm\Rrightarrow \dfrac{(-1+2p)(3-4p)}{(-1+2p)(3-4p)}=1\)
\(\\ \rm\Rrightarrow 1=1\)
\(\\ \rm\Rrightarrow 1-1\)
\(\\ \rm\Rrightarrow 0\)
Choose the definition for the function.
A.
C.
4x
2x + 2
-
43 2
73
2x - 2
-x-4
if x < 0
if x ≥ 0
if x < 0
if x > 0
B.
D.
2x + 2
-x+4
-x + 4
2x + 2
if x ≤ 0
if x > 0
if x < 0
if x > 0
Enter
The piecewise function for this problem is defined as follows:
B.
y = 2x + 2, x ≤ 0.y = -4/3x + 4, x > 0.How to define the function?The function is a piecewise function, as the function has different definitions based on the input of the function.
The different definitions for the graph are given as follows:
Left of x = 0. (closed). Right of x = 0. (open).To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:
y = 2x + 2, x ≤ 0.
To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:
y = -4/3x + 4, x > 0.
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Classify each of the sentences below as an atomic statement, a molecular statement, or not a statement at all. If the statement is molecular, say what kind it is (conjunction, disjunction, conditional, biconditional, negation).
a. The sum of the first 100 odd positive integers.
b. Everybody needs somebody sometime.
c. The Broncos will win the Super Bowl or I'll eat my hat.
d. We can have donuts for dinner, but only if it rains.
e. Every natural number greater than 1 is either prime or composite.
f. This sentence is false.
Answer:
a. The sum of the first 100 odd positive integers - Not a statement
b. Everybody needs somebody sometime - Atomic statement
c. The Broncos will win the Super Bowl or I'll eat my hat - Molecular statement (disjunction)
d. We can have donuts for dinner, but only if it rains - Molecular statement (conditional)
e. Every natural number greater than 1 is either prime or composite - Atomic statement
f. This sentence is false - Not a statement
Step-by-step explanation:
A statement in mathematics can be said to be any declarative statement that can either be true or false. While a sentence is considered to not be a statement if
Statements are divided into 2:
Atomic statements: These are statements that cannot be split into mini statements.Molecular statements: These are the opposites of atomic statements. They are statements that cannot be spilt. This can further be divided into; conjunction, disjunction, conditional, bi-conditional and negation100 POINTS BRAINLIEST AND THANKS!!!!
Answer:
1. $19,282.025
2.$3698
Step-by-step explanation:
1.
In order to calculate this, we can use the following formula:
\(\boxed{\bold{FV = PV(1 + \frac{r}{n})^{nt}}}\)
Where:
FV = Future Value PV = Present Value r = Annual interest rate n = Number of times interest is compounded per year t = Number of yearsIn this case, the following values would be used:
FV = ?PV = $3,294 r = 15%=0.15 n = 4t = 12Plugging these values into the formula, we get:
\(FV = 3,294(1 + \frac{0.15}{4})^{4*12}\)
= $19,282.025
2
In order to calculate this, we can use the following formula:
\(\boxed{\bold{FV = PVe^{rt}}}\)
Where:
FV = Future Value PV = Present Value r = Annual interest rate t = Number of yearsIn this case, the following values would be used:
FV = ?PV = $2,580r = 3%=0.03t = 12value of e= 2.7183Plugging these values into the formula, we get:
\(FV = 2,580e^{0.03*12}\)
= $3,697.99=$3698
heellpp me pls which equation can be used to solve the problem .60 percent of what number is 30 .
60x2 = 120
--------- this is a
30x2 = 60
30 divide 1 = 30 this is b
----------------
60 divide 1 = 60
60 divide 2 = 30
----------------- this is c
100 divide 2 = 50
100x2=200
---------- this is d
30x2 =60
NOTE pls vote and do not guess i will brainest you if right
Answer:
it is C because first let say the missing number is y and the equation is 60/100 x Y = 30 , we dived 60/100 for each and tht means ,60/100Y/60/100=30x100/60 ,we cancel the first by it self and Y will be alone ,Y=3000/60= 50. try my best.
Answer:
C 30/50
Step-by-step explanation:
30/50 is 0.6
That is correct.
Hope this helps :D
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
There are 5 white balls. 8 red balls, 7 yellow balls, and 4 green balls in a container. A ball is chosen randomly. Find the probability of the following events.
1.What is the probability of choosing
green?
Answers:________ work space:______
2. What is the probability of choosing
red?
Answers:________ work space:______
3. What is the probability of choosing
neither white nor green?
Answers:________ work space:_______
4. . What is the probability of choosing
other than yellow?
Answers:________ work space:_______
5. What is the probability of choosing
purple?
Answer:_________ work space:_______
Given :
White balls = 5 Red balls = 8 Yellow balls = 7Green balls = 4Answer 1 :-
We know that,
P (E) = No. of favourable outcomes / Total number of outcomes.>> Total no. of outcomes = 5 + 8 + 7 + 4
>> Total no. of outcomes = 24
As there are 4 green balls. Therefore,
P (E) = 4 / 24P (E) = 2 / 12 P (E) = 1 / 6Answer 2 :-
We know that,
P (E) = No. of favourable outcomes / Total number of outcomes.>> Total no. of outcomes = 5 + 8 + 7 + 4
>> Total no. of outcomes = 24
As there are 8 red balls. Therefore,
P (E) = 8 / 24 P (E) = 4 / 12 P (E) = 2 / 6 P (E) = 1 / 3Answer 3 :-
We know that,
P (E) = No. of favourable outcomes / Total number of outcomes.>> Total no. of outcomes = 5 + 8 + 7 + 4
>> Total no. of outcomes = 24
As there are 15 balls that are neither green nor white. (Red balls+ yellow balls)
P (E) = 15 / 24 P (E) = 5 / 8Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it. A Table titled Test Time, showing Number of Questions, Time per Item in minutes, and Total Time in minutes. The first row shows Multiple Choice, with m, 3, and 3 m. The second row shows Free Response, with 15 minus m, 8, and x. The third row shows Total, with 15, blank, and 55. Which value could replace x in the table? Which value could replace x in the table?
Answer:
c
Step-by-step explanation:
Answer:
c is the correct answer
20% of city employees ride the bus to work. This is up 18% from last year. What percent of employees rode the bus to work last year? (Round to the tenth of a percentage.)
Answer: 16.95%
Step-by-step explanation:
Let the percent of employees who rode the bus to work last year be represented by y.
y[(100+18)/100] = 20
y(118/100) = 20
118y/100 = 20
118y = 100 × 20
118y = 2000
y = 2000/118
y = 16.95%
The percent of employees who rode the bus to work last year is 16.95%.
A friend gave Ms. Morris a gift card for a local car wash. The table shows the linear relationship of how the value left on the card relates to the number of car washes. 0 8 Number of car washes, X Amount left on card ($), y 12 20 50 30 Part 1 Enter an equation that shows the number of dollars left on the card. The equation that represents this situation is y = -2.5x+50 Part 2 Complete the explanation of the meaning of the negative slope In this situation. The amount of dollars decreases as the number of car washes increases Part 3 out of 3 What is the maximum value of x that makes sense in this context? Complete the explanation. The maximum value that x can take on is because, after that number of washes, there is not enough money left on the card for another car wash. Check Next
Given data:
The expression for the amount of money is y=-2.5x+50.
The given expression can be written as,
2.5x=50-y
x=(50-y)/2.5
x become maximum when y is minimum and the minimum value of y is zero.
so, the maximum value of x is,
x =50/2.5
=20
Thus, the maximum value of x is 20.
write a recursive formula for the sequence 15,26,48,92,180, ... find the next term
Question #8
Answer:
The nth term is Tn = 2[T(n- 1) -2]
The next term is 356
Step-by-step explanation:
Given
Terms: 15,26,48,92,180
Solving (a) : The recursive n term
We have:
T1 = 15
T2 = 26 = 13 * 2 = (15 - 2) * 2
T3 = 48 = 24 * 2 = (26 - 2) * 2
T4 = 92 = 46 * 2 = (48 - 2) * 2
T5 = 180 = 90 * 2 = (92 - 2) * 2
So, the nth term can be represented as:
Tn = [T(n-1) - 2] * 2
Tn = 2[T(n-1) - 2]
The next term is the 6th term.
So, substitute 6 for n in the above formula.
T6 = 2 * [T(6 - 1) - 2]
T6 = 2 * [T5 - 2]
Substitute 180 for T5
T6 = 2 * (180 - 2)
T6 = 2 * 178
T6 = 356
Guys what is 437x15=_____
Please Help, I Dont like Math
Thanks you guys have a good day!
Answer:
6555
Step-by-step explanation:
Again you can you Distributive property to answer this question here is how-To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Answer:
6555
Step-by-step explanation:
what is a regression through the origin
A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.
This version is also referred to as zero-intercept regression or homogeneous regression.
It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.
The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.
However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.
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What is the average of the points A, B and C with weights 1, 1 and 2 respectively?
Step-by-step explanation:
Weighted Average = (A * 1 + B * 1 + C * 2) / (1 + 1 + 2)
Since the weights are 1, 1, and 2 respectively, we can simplify the equation further:
Weighted Average = (A + B + 2C) / 4
Therefore, the average of the points A, B, and C with weights 1, 1, and 2 respectively is (A + B + 2C) / 4.
The average of the points A, B, and C with respective weights of 1, 1, and 2 can be calculated using the weighted average formula: (1*a + 1*b + 2*c) / (1+1+2). The values of points A, B, and C are represented as a, b, and c.
Explanation:The question asks for the average of points A, B, and C, which are weighted 1, 1, and 2 respectively. To calculate a weighted average, we multiply each value by its respective weight and then sum these products. We then divide this sum by the sum of the weights. So, let's assume the values of points A, B, and C be a, b, and c respectively. Using the formula for weighted average we get Average = (1*a + 1*b + 2*c) / (1+1+2)This formula will give us the average of the points A, B, and C with the specified weights.
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solve using quadratic formula pls show work
Answer:
\(x=\frac{3}{8},\:x=0\)
Step-by-step explanation:
\(x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}}{2\cdot \:8}\)
\(\sqrt{\left(-3\right)^2-4\cdot \:8\cdot \:0}\)
\(=\sqrt{3^2-4\cdot \:8\cdot \:0}\)
\(\sqrt{3^2}\)
3
\(x_{1,\:2}=\frac{-\left(-3\right)\pm \:3}{2\cdot \:8}\)
Separate the solutions:
\(x_1=\frac{-\left(-3\right)+3}{2\cdot \:8},\:x_2=\frac{-\left(-3\right)-3}{2\cdot \:8}\)
\(x=\frac{3}{8},\:x=0\)
The diagonals of parallelogram ABCD intersect at P. Which statements must be true? Select all that apply.
The statements that will be true about parallelogram ABCD are: A, B, D, and E.
Properties of a Parallelogram -
Diagonals of a parallelogram bisect each other into congruent segments.
Opposite angles and sides of a parallelogram are always congruent.
Alternate interior angles are always congruent in measure.
Thus, the following would be true of parallelogram ABCD:
AP ≅ CP (congruent segment's of a bisected diagonal)
BC ≅ AD (congruent opposite sides)
∠CAD ≅ ∠ACB (congruent angles)
∠BPC ≅ ∠APD (congruent angles)
Therefore, the statements that will be true about parallelogram ABCD are: A, B, D, and E.
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Factor 36+21. Write your answer in the form a(b+c) where a is the GCF of 36 and 21.
Answer:
3(12 + 7)
Step-by-step explanation:
To find the GCF of 36 and 21, list out their factors.
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
21: 1, 3, 7, 21
The greatest factor which both numbers share is 3.
Therefore, you can factor 36 + 21 as 3(12 + 7)
complete the table of values for the function f(x)=-x^2+8x-2
Answer:
f(1) = 7
f(2) = 18
f(3) = 31
f(4) = 46
f(5) = 63
f(6) = 82
f(7) = 103
f(8) = 126
f(9) = 151
f(10) = 178
Step-by-step explanation:
f(1) = (-1)^2+8(1)-2 = 7
Continue plugging in values...
Select the correct answer.
Rewrite the following
equation as a function of x.
25.34 – 6257 – 500 = 0
OA f(x) = 1 1 1 1 2 4 - 2
B. f(1) = -25r4 +
C. f(x) = 2534 -
D. f(1) = 2*4 +
Іст
Answer:
C
Step-by-step explanation:
can u pls help me with this question
Answer:
5 gallons per fish
Step-by-step explanation:
Your first answer is correct because anytime a line passes through the origin, it is proportional.
To find the number of gallons per fish, we can take the first point which is (2, 10) and divide it by 2; (2÷2, 10÷2) = (1, 5)
This means that for every fish you get, you will need 5 gallons of water to meet the requirement.
Best of Luck!
The table shows three unique functions.
x f(x) g(x) h(x)
-2
4
6
-3
-1
1
2
1
4-
2
1
1
55 752
6
8
1
Hit
6:
Mark this and return
-25
Which statements can be used to compare the
characteristics of the functions? Select two options.
Of(x) has an all negative domain.
g(x) has the greatest maximum value.
All three functions share the same range.
Oh(x) has a range of all negative numbers.
All three functions share the same domain.
Answer:
The statements that can be used to compare the characteristics of the functions are:
1. g(x) has the greatest maximum value.
2. All three functions share the same domain.
Explanation:
- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.
- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.
- We can see that g(x) has the highest maximum value among the three functions, which is 8.
- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.
- We cannot say anything about the domain or range of f(x) based on the given table.
- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.
Tyler's brother earns $14 per hour. The store offers him a 5% increase in wages per hour. After the raise, how much will tyler's brother make per hour?
After the raise, Tyler's brother will make $14 x 1.05 = $14.70 per hour.
Answer:
14 x 1.05 = 14.70
Step-by-step explanation:
Steve wants to use his 18% employee discount to buy a video game that has a regular price of $69.99. A 6.5% sales tax is applied to the discounted price. How much will he pay for the game, including sales tax?
Answer:
$61.12
Step-by-step explanation:
Price of the Video game = $69.99
Discount = 18%
Discount price = 18% of $69.99
= $69.99*18/100
= $12.6
Price after Discount = Price - Discount price
= $69.99 - $12.6
= $57.39
Sales tax = 6.5% applied to the discounted price
= 6.5% of $57.39
sales tax in dollars = $57.39 * 6.5/100
= $3.73
The amount he pays for the game = $57.39 + $3.73
= $61.12
Drag each equation to its equivalent fact. DUE TODAY
Answer:
left left right
Step-by-step explanation:
rearange the formula as normal
I need help on this one
Find the selling price.
Cost To Store: $50
Markup: 10%
The selling price is $blank
The selling price of the item at 10% marlkup is $55
Finding the selling price of the itemFrom the question, we have the following parameters that can be used in our computation:
Cost To Store: $50Markup: 10%Using the above as a guide, we have the following:
Selling price = Cost To Store * (1 + Markup)
substitute the known values in the above equation, so, we have the following representation
Selling price = 50 * (1 + 10%)
Evaluate
Selling price = 55
Hence the selling price of the item is $55
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Mrs. Young has p goats and q cows on his farm. He has 23 fewer cows than goats.
What are the missing values in the table?
PLSSSS QUICK
Step-by-step explanation:
35:12
40:17
45:22
50:27
55:32