Answer:
Step-by-step explanation:
Step 1: Use point-slope form and substitute in the x and y values
y-y1=m(x-x1)
y-(1)=2(x-(-3))
Step 2: Simplify the expression
y-1 = 2(x+3)
Add one to the other side
y= 2(x+3)+1
Multiple 2 by (x+3)
y=2x+6+1
Add common terms
y=2x + 7
Joanna's tree starts at 4 feet tall and
grows 15% each year. What is the tree's
height after 12 years?
The height of the tree after 12 years is 21.401 feet.
How to predict the height of the tree
In this problem we find the case of a tree that grows exponentially, the height of the tree is defined by the following formula:
h = a · (1 + r / 100)ⁿ
Where:
a - Initial height of the tree, in feet.r - Increase rate, in percentage.n - Number of periods, in years.If we know that a = 4 ft, r = 15 and n = 12, then the final height of the tree is:
h = 4 · (1 + 15 / 100)¹²
h = 21.401
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Given that ∠X≅∠D, and DE≅XW, what is the third congruence needed to prove that ΔXWY≅ΔDEC by ASA?
A
∠Y≅∠C
B
∠Y≅∠E
C
∠W≅∠C
D
∠W≅∠E
Answer:
(A) ∠Y ≅ ∠C.
Step-by-step explanation:
To prove that two triangles are congruent by ASA (Angle-Side-Angle), you need to show that two angles in one triangle are congruent to two corresponding angles in the other triangle, and that the side between the two angles is congruent to the corresponding side in the other triangle.
Given that ∠X ≅ ∠D and ∠DE ≅ ∠XW, the third congruence needed to prove that ΔXWY ≅ ΔDEC by ASA is:
(A) ∠Y ≅ ∠C
This is because ∠Y and ∠C are the corresponding angles in the two triangles that have not been shown to be congruent.
So the answer is (A) ∠Y ≅ ∠C.
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Which of the following equations is NOT a form of a linear equation?
y = mx + b
y- y₁ = m (x − x₁)
Ax+By = C
y= ax² + bx + c-
y = kx
Answer:
the third onei
Step-by-step explanation:
it describes a quadratic equation/
Use synthetic division to solve (×3 + 1) = (X - 1). What is the quotient?
The required quotient is x² + x + 1 + (2/ x -1) which is determined by the synthetic division.
What is the Quotient?A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient.
Use the divisor and find x :
x - 1 = 0 add 1
x= 1
Now we'll divide with the number one:
Take the coefficients from the terms in front of them.
Make careful to include 0's for x² and x since all terms must be included.
set it up with a 1 in a box:
1| 1 0 0 1 bring the first number down
____________
1 multiply the boxed number by the first number and add it to the second number
1| 1 0 0 1
____+1_____ repeat with the rest of the terms
1 1
1| 1 0 0 1
___+1_+1_+1
1 1 1 2
When you're finished, use the new numbers to build an equation that begins with a term that has one fewer degree than the previous equation.
Because there is a remnant, divide it by the original divisor.
final answer:
x² + x + 1 + (2/ x -1)
Thus, the required quotient is x² + x + 1 + (2/ x -1) which is determined by the synthetic division.
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(f)-3 =9 and g(-3) =2 find (f+g)(-3)
The value of f(-3) + g(-3) Or (f + g)(-3) is 11.
What is a composite function?When the output of one function is given to the input of another function they are called composite functions. In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).
Given, f(-3) is 9 and g(-3) is 2.
We know f(x) + g(x) = (f + g)(x).
∴ (f + g)(-3) = 9 + 2.
(f + g)(-3) = 11.
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Write an equation for the line.
Answer:
y = 2x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1, 0) ← 2 points on the line
m = [tex]\frac{0-(-2)}{1-0}[/tex] = [tex]\frac{0+2}{1}[/tex] = [tex]\frac{2}{1}[/tex] = 2
the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = 2x - 2 ← equation of line
Answer:
y = 2x - 2
Step-by-step explanation:
The equation y = mx + b is a standard form of a linear equation in one variable. It represents a straight line on a graph
In this equation, y is the dependent variable, which is the variable that is being measured or predicted. The independent variable is x, which is the input or cause in the relationship.
The coefficient m is the slope of the line, which tells you the rate of change between the two variables. It represents how much the value of y changes for each unit change in the value of x. A positive slope means that the line goes up as you move from left to right, while a negative slope means that the line goes down.
- Our slope is positive
- slope (m) = rise / run = 2/1 = 2
The constant b is the y-intercept, which is the point where the line crosses the y-axis. It represents the value of y when x is equal to 0.
- Our y-intercept is -2
m is 2 and b is -2, the equation y = 2x - 2 represents a line with a slope of 2 and a y-intercept of -2. This means that for every 1 unit increase in the value of x, the value of y increases by 2 units, and the line crosses the y-axis at the point (0, -2).
A cell phone carrier charges a monthly fee of $20 and also charges customers $0.05 per text message. The function C(t)+0.05t+20 represents the cost of C, per month based on t text messages in a month.
Which best describes the domain of the function?
All real numbers
All real numbers that are multiples of 0.05
All whole numbers
All whole numbers for 0 to 20
Answer:500
Step-by-step explanation:
1.) in the number 4658.21987 what digit is in the hundredths place
2.) in the number 4716.054321 what digit is in the ten-thousands place
Answer:
1)1
2)3
Step-by-step explanation:
Have a look at some tables online
8.121 Round 8.121 to the nearest tenth.
What U.S. territory uses Spanish as an official language?
Puerto Rico
Bermuda
Canada
Hawaii
Answer: Puerto Rico
Step-by-step explanation:
4 divided by 3/5 as a fraction form
Answer:33/5
Step-by-step explanation:
Hope this helps <3
What is the following product? rootindex 3 startroot 5 endroot times startroot 2 endroot.
The product of the given irrational number ∛5 × √2 is equal to
option b. [tex]\sqrt[6]{200}[/tex]
As given in the question,
Given irrational numbers are:
∛5 × √2
Take the least common multiple of 3 and 2
Least common multiple of 3 and 2 is 6.
∛5 = [tex]5^{2 \times\frac{1}{2}\times \frac{1}{3} }[/tex]
= [tex]\sqrt[6]{5^2}[/tex]
= [tex]\sqrt[6]{25}[/tex]
√2 = [tex]2^{3 \times\frac{1}{3}\times \frac{1}{2} }[/tex]
=[tex]\sqrt[6]{2^3}[/tex]
= [tex]\sqrt[6]{8}[/tex]
Product of ∛5 × √2 is given by:
∛5 × √2 = [tex]\sqrt[6]{25} \times \sqrt[6]{8}[/tex]
= [tex]\sqrt[6]{25 \times 8}[/tex]
= [tex]\sqrt[6]{200}[/tex]
Therefore, the product of the given irrational number is equal to [tex]\sqrt[6]{200}[/tex] .
The complete question is:
What is the following product?
∛5 × √2
a. [tex]\sqrt[6]{10}[/tex]
b. [tex]\sqrt[6]{200}[/tex]
c. [tex]\sqrt[6]{500}[/tex]
d. [tex]\sqrt[6]{10000}[/tex]
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-6x-4/2
2. Select all the expressions that are equivalent to
2
A.-3x - 2
B. 3x + 2
С. - 6х+4
2
D.-1/-
2 (6x+4)
E. 1/2 (-3x-2)
The expressions that are equivalent to -6x-4/2 are: -6x-4/2 and 1/2 (-3x-2)
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers
According to the given option, the required solution would be as:
A. -3x - 2 (if you multiply both sides of the equation -6x - 4 = 2 by -1/2, you get -3x - 2 = 1)
E. 1/2 (-3x-2) (if you multiply both sides of the equation -6x - 4 = 2 by 1/2, you get -3x - 2 = 1, and then divide both sides by -1 to get 1/2 (-3x-2) = -1/2)
Hence, the correct answer would be options (A) and (E).
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9. You decide to invest $500 into a 4-year CD that pays 2.85% interest
compounded monthly.
Use the compound interest formula:A = P(1 + r/n) ^nt to give:
a. The future value in 4 years.
b. The interest gained in 4 years.
Answer:
$560.30 & $60.30
Step-by-step explanation:
A = $560.30
A = P + I where
P (principal) = $500.00
I (interest) = $60.30
A local dry cleaner interviewed 10 candidates for the positions of cashier, washer, salesperson, and delivery driver. How many ways can they fill the 4 positions?
A. 14
B. 210
C. 5,040
D. 151,200
Answer:
How many ways can they fill the 4 positions?
The Answer is B. 210
Answer: b. 210
Step-by-step explanation:
Summer Swim charges a $45 membership fee and $3.50 each time you visit their pool. Super Swimmers charges $6.50 each time you visit their pool with no membership fee.
a. For what number of visits will both swim clubs charge the same amount? Justify your answer using mathematics.
visits:____
b. You anticipate that you will visit the pool about 32 times this summer. Which Swim Club should you choose if you want to spend the least amount of money? Justify your answer using mathematics.
(Type Summer Swim or Super Swimmers) :______
Answer:
A) 15
B) Summer Swim
Step-by-step explanation:
How to solve problem "A":
45+3.50x =6.50x
Take 3.50 from each side.
6.50-3.50=3
45=3x
Now you divide 45 divided by 3.
45/3=15
So after 15 visits, you'll be charged the same amount.
6.50 (15)=97.5
3.50 (15)+45= 97.5
So it's definitely correct.
_________________________________________________________
How to solve problem "B":
All we have to do is plug 32 into "x"
Equation 1: 45+3.50(32)= 157
Equation 2: 6.50 (32)=208
So equation 1 definitely is cheaper. So it's the Summer Swim that's cheaper
I hope this helps!!!
BELP PLEASE!!
ZL,ZK, and ZM are perpendicular bisectors of AGHJ. Use the information
to determine if the following lengths are true. Select all that apply.
Note that the figure is not drawn to scale.
A. True. The circumcenter is equidistant from all vertices of the triangle.
B. False. The circumcenter is equidistant from all vertices of the triangle.
C. False. By the definition of a bisector, [tex]MJ=6[/tex], meaning [tex]JG=6+6=12[/tex].
D. True. By the definition of a bisector, [tex]GK=4[/tex], meaning [tex]GH=4+4=8[/tex].
Can you help me find this answer?
Step-by-step explanation:
These two angles are same side corresponding interior angles so they are equal to each other
[tex]5x + 20 = 120[/tex]
[tex]5x = 100[/tex]
[tex]x = 20[/tex]
Woof Woof Dog School offers dog training classes. This session, there are 7 puppies
enrolled in classes for every 4 adult dogs enrolled.
Pick the diagram that models the ratio in the story.
puppies
adults
puppies
adults
If there are 42 more puppies than adult dogs enrolled in classes this session, how many dogs
are enrolled altogether?
dogs
The diagram that models the ratio in the story is the first diagram.
Puppies = Seven green boxes.
Adults = Four violet boxes.
There are 66 dogs enrolled together.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of puppies = 7
Number of adult dogs = 4
This can be written as,
7 puppies = 4 adult dogs
Multiply 6 on both sides.
42 puppies = 24 adult dogs
Now,
The total number of enrolled dogs.
42 + 24 = 66 dogs
Thus,
The ratio that models the story is the first diagram.
The total number of enrolled dogs is 66.
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PLSS HELP ASAP!! 30 PTS
Triangle ABC has vertices A(0, -1), B(6, 5), and C(-4, 3).
Which statement about triangle ABC is true?
Answer:
The coordinates of the vertices of triangle ΔABC, A(0, -1), B(6, 5), and C(-4, 3), indicates that the triangle ΔABCD is a right triangle with all sides of different length.
Step-by-step explanation:
The area of a rectangle is 2x2−11x−63 square units, and the length is 2x+7 units. What is the perimeter, in units, of the rectangle? Responses
A bag contains 10 red marbles, 7 blue marbles, and 3 green marbles. How many blue marbles need to be added to the bag so that the probability of randomly drawing a blue marble is 3/4?.
77.8%, blue marbles need to be added to the bag so that the probability of randomly drawing a blue marble is 3/4.
What is Probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.
The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
In order to better grasp probability, let's look at a straightforward application.
Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.
There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw
According to our answer-
Probability is defined as the product of the number of successful outcomes over the total number of outcomes.
There are 36 different results for one draw because there are 36 marbles overall in the bag.
All draws that are conceivable but are not blue are considered successful outcomes. 28 of those are available.
Consequently, the probability of a non-blue option is 28/36 = 7/9 = 77.8%. (rounded)
Hence, 77.8%, blue marbles need to be added to the bag so that the probability of randomly drawing a blue marble is 3/4.
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i think of a number,multiply it by 3,add 4 and square the result
The algebraic expression is (3X + 4)²
What is word problem?Word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
From the question
To express the worded problem algebraically using X as your unknown
To express the worded problem algebraically using X as your unknown
The number is X
Now if we multiply the number X by 3 we get 3X
When we add 4 with 3X we get 3X + 4
Finally the squaring the result 3X + 4 we get (3X + 4)²
Hence the required algebraic expression for the worded problem is (3X + 4)²
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the counterpart to sampling error is nonsampling error, which consists of all errors in a survey including those attributable to the sample plan and sample size. true false
the counterpart to sampling error is nonsampling error, which consists of all errors in a survey including those attributable to the sample plan and sample size is a True statement.
Non sampling error is an error that occurs due to various sources which are not related to sampling. These errors can occur due to improper selection of the sample, incorrect data collection and analysis, or due to errors in data reporting. Sampling error, on the other hand, occurs due to the differences between the sample and the population. It is caused by the randomness of the sample that is used and can be reduced by increasing the sample size. the counterpart to sampling error is nonsampling error, which consists of all errors in a survey including those attributable to the sample plan and sample size is a True statement.
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Please help it about calculus
The answer to this question based on limits is -4/3
What is limits?
Limits are very interesting concepts in mathematics which are veryuseful when we are dealing with numbers like infinity or numbers where some functions are not defined
Concepts of limits give us brief understanding that why these things are not defined
Solution;
We are asked to calculate a limit
By limits laws we can apply limit to both numerator and denominator respectively
Numerator = lim x--->2 2x-2
= just put 2 in place of x we will get 4 - 2 = 2 ans
Denominator = 2f(3x) - x
put limit as x = 2 in this we get
2 f(6) - 2
we need values of f(6) we can take from graph that f(6) = -3/2
hence answer to our question is 2 divided by -3/2
which in turn our answer for this limit problen is -4/3
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Joseph and Raquel are building a scale model of the Alamo Mission for their Texas history project using a scale in which 2 inches represents 30 feet. The enclosed area of the Alamo Mission was 480 feet long and 160 wide.
What should the length of the enclosed area of the scale model be in inches?
Harper spent at least 40 minutes drawing on Friday. She spent 20 minutes more on Friday than on Monday. How many minutes could harbor have spent drawing on Monday, m?
(Make equation with inequality)
Answer:153000394836295938
Step-by-step explanation:
;)
A toy company is building dollhouse furniture. A rectangular door of a dollhouse has a height of 7 centimeters and a width of 5 centimeters. What is the perimeter of the door on a scale drawing that uses the scale 3:4?
32 cm
24 cm
18 cm
14 cm
Answer:
Step-by-step explanation:
You need to find the perimeter of the door in the scale drawing.
Not the perimeter of the door on the dollhouse.
If the dollhouse door is 7 cm by 5 cm use the scale factor of 3/4 to
find the dimensions on the scale drawing.
7 times 3/4 = 5.25
5 times 3/4 = 3.75
P = 2(length) + 2 (width)
P = 2 (5.25) + 2 (3.75)
P = 10.5 + 7.5
P = 18 cm
Answer choice C
Online there is an item that usually costs $20 is advertised as being 25% off.
What is the discount?
What is the sale price of the item?
Answer: The discount is 25% * $20 = $5.
The sale price of the item is $20 - $5 = $15.
help i really need this answer please
Tim lives 2/3 as far from school as Felipe. Felipe walks to school and then walks to
Tim's house after school. What expression represents the total distance
Felipe walked?
Answer: x + 2/3(x)
Step-by-step explanation:
x = distance F walks to school
2/3(x) = distance T walks to school
Felipe walks first to school, then walks to Tim's house, so total distance Felipe walks: x + 2/3(x)