Answer:
Range => y ≤ -2
Domain => All real numbers
Step-by-step explanation:
As it extends horizontally either way, domain can be any possible value.
Whereas it only extends from -2 towards the bottom, therefore the range will be less than or equal to -2.
6
An item is priced at $13.23. If the sales tax is 8%, what does the item cost including sales tax?
Total price = sale price x (1 + sales tax %)
total = 13.23 x ( 1 + 0.08)
total = $14.29
Answer:
$14.2884
original price: $13.23
with tax: 100% + 8% = 108%
cost with tax:
108% * $13.23
$14.2884
Your realized income is $2,412. 54/month. How much discretionary monies do you have each month?
Because you want to set aside three months' worth of fixed expenses for an emergency fund, the sum saved each month comes to [tex]$416.70.[/tex]
What is interest?In mathematics, interest is the fee or payment made for using borrowed funds; it is typically stated as a percentage of the principal sum. Interest can be divided into two categories.
Simple Interest is computed solely using the principal of the debt or investment. I = PRT, where P is the capital, R is the interest rate per period, and T is the time period, is the formula for simple interest.
Given,
The monthly wage is [tex]$2,415.64[/tex] dollars.
After expenses, discretionary funds equal 54% of monthly revenue.
Fixed monthly expenses equal [tex](100–54%)%[/tex] of overall monthly income.
[tex]= 46%[/tex] of monthly gross revenue
[tex]= 0.46 × 2,415.64[/tex]
[tex]= $ 1,111.1944[/tex]
Thus, the fixed expenditures for three months equal three times the fixed expenses for one month.
[tex]= 3 × 1,110.5544 = $ 3331.6632[/tex]
This money will be conserved in 8 months, so
As a result, the monthly savings equal 1/8 of [tex]$ 3331.6632[/tex] .
[tex]= $ 416.6979 ≈ $ 416.70[/tex]
Therefore, Because you want to set aside three months' worth of fixed expenses for an emergency fund, the sum saved each month comes to [tex]$416.70[/tex] .
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The above question is incomplete, the complete question is given below:
Your realized income is $2,415.64/month, and 54% are discretionary monies. If you want to save 3 months of fixed expenses for an emergency fund, how much must you save each month to fund it in 8 months
35 POINTS! Identify JS rounded to the nearest tenth.
please help I will give brainliest fr!
Answer:
JS is about 69.4
Step-by-step explanation:
Notice that the given side length JW = 67 is opposite to the given angle S = 44º. JS is adjacent to angle S, so we use the tangent function to solve for JS:
[tex]\tan 44^{\circ} = \frac{JW}{JS}\\\\\tan 44^{\circ} = \frac{67}{JS}\\\\JS = \frac{67}{\tan 44^{\circ}}\\\\JS = 69.3805[/tex]
Round JS to the nearest tenth, 69.4.
Answer:
JS is approx. 69.4
Step-by-step explanation:
This triangle is close to a 45-45-90 triangle. So you then know the answer should be close to 67 because the other side is the same. This leaves us with JS=64.7 and JS=69.4. Another rule says that the side with the smaller angle is greater. 69.4 is greater.
The measure of one interior angle of a reqular 45-gon
Answer:
4 degrees :)
Step-by-step explanation:
All the interior angles must equal 180 degrees. So, we can do 180/45 which equals 4 degrees. Hope this helps. Btw all exterior angles equal 360 degrees, just in case you need to know that on your next assignment. Peace, man!
You buy $2. 75$ pounds of pistachios and $2$ pounds of cashews. Do you pay more for the pistachios or for the cashews?
Answer:
pistachios
Step-by-step explanation:
you pay more for the pistachios because $2.75 is greater than $2
evaluate the question
-12 • (-5/4)
Which operation should you perform last in the expression 12 × 42?
Answer:
The order of operations requires that all multiplication and division be performed first, going from left to right in the expression.
Step-by-step explanation:
The circumference of a circle is 31.4 yards. What is the circle's diameter? C=31.4 yd Use 3.14 for .
Step-by-step explanation:
c= 31.4
c= πDD= C/π
D= 31.4/3.14 = 10 yards[tex]\longrightarrow[/tex] 10 yards
Given :-[tex]\red{\leadsto}\:[/tex][tex]\textsf{Circumference \:of \:the \:circle} [/tex][tex]\sf= 31.4 \:yards [/tex]
Solution:-[tex]\green{ \underline { \boxed{ \sf{Circumference \: of \: the \: circle = 2πr}}}}[/tex]
r is radius of circle[tex]\begin{gathered}\\\implies\quad \sf Circumference \:of \: the \: circle = 31.4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2πr= 31.4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2\times 3.14 \times r= 31.4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 6.28 \times r= 31.4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf r= \frac{31.4}{6.28} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf r= 5 \:yards \\\end{gathered} [/tex]
[tex]\green{ \underline { \boxed{ \sf{Diameter = 2 \times radius }}}}[/tex]
[tex]\begin{gathered}\\\implies\quad \sf Diameter = 2\times 5\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Diameter = 10 \: yards\\\end{gathered} [/tex]
the area of a square is equal to the area of a rectangle of length = 8cm breadth = 2cm .
what is the side of the square❓
Answer:
4 cm
Step-by-step explanation:
Area of rectangle = Area of square
= 8 x 2
= 16 cm²
Side length = √Area
= √16
= √4 x √4
= 4 cm
What is the remainder when x2 + 5x - 24 is divided by x - 6?
Answer:
42
Step-by-step explanation:
x - 6= 0 → x = 6
we put this value in x² + 5x -24
6² + 5(6) - 24 = 36 + 30 - 24 = 42
there is another way too. but it's longer. you can see it in picture.
the local college has a swimming pool that measures 50 m longand 25m wide. If you swam from one corner to the other, how far would you swim
Answer:
55.902m
Step-by-step explanation:
a^2 + b^2 = c^2
the diagonal line through the swimming pool is the hypotenuse that splits the pool into two equal right triangles
25^2 + 50^2 = c^2
625 + 2500 = c^2
3125 = c^2
root3125 = 55.902
The diagram shows part of a regular polygon.
Hannah's bank account received a refund of $195 because of returning a recent purchase. Which number describes the change in Hannah's account balance due to this refund?
How many solutions are in the equation
Answer:
no solutions
Step-by-step explanation:
The equation simplifies to 13 = -3, which is not true for any value of x.
Use a power of ten to estimate the product.
104 x 56.379
5,824
O 563.79
O 5,637.9
O 5,928
How many solutions does the system of equations below have?
3x - 2y = 4
6x - 4y = -11
I think 3 or maybe 2 because if ........
Write and solve an equation to answer the question.
What number is 16% of 80?
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Answer:
12.8
Step-by-step explanation:
write it down on the calculator to get the result...
no. = 80 × 16% = 80 × (16/100) = 80 × 0.16 = 12.8
please help this is due tomorrow
Answer:
3.5cm
Step-by-step explanation:
10mm = 1 cm
35mm = ?cm
35/10 = 3.5cm
What is the measure of DAE?
B
E
31°
D
C
PLEASE HELPPP!!
Answer:
Since BAF is the opposite of DAE, they are equal to each other. 134 - 89 = 45. The correct answer is 45
Step-by-step explanation:
Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12.
What is the length of Line segment B C, rounded to the nearest tenth?
13.0 units
28.8 units
31.2 units
33.8 units
Answer: 31.2
Step-by-step explanation:
The best answer here seems to be 31.2
I'd check some other answers though too, im abismal at math
Pleaseeeee help with this! Thank you so much!
Answer:
≈ 7.85 cm
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
given A = 225π , then
πr² = 225π ( divide both sides by π )
r² = 225 ( take square root of both sides )
r = [tex]\sqrt{225}[/tex] = 15
the arc length is calculated as
arc = circumference × fraction of circle
= 2πr × [tex]\frac{30}{360}[/tex]
= 2π × 15 × [tex]\frac{1}{12}[/tex]
= 30π × [tex]\frac{1}{12}[/tex]
= [tex]\frac{30\pi }{12}[/tex]
≈ 7.85 cm ( to 2 dec. places )
On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.
A delivery driver is driving around town and has noticed that every time he turns, it creates an angle. What are the measures of Angles X, Y, and Z on the map?
In your answer, give the measures of angles X, Y, and Z, and explain how you calculated each one.
X=105°
Y=105°
Z=105°
let the angle below 75° which is the 4th Street be A
75°+A=180°[being adjacent angle]
A=105°
X=A[Verticall opposite angle]
Z=A[Corresponding angle]
Y=X[alternate angle]
please help me on this
Answer:
74°
Step-by-step explanation:
There are a couple of different angle relations that can be used to solve this problem. The measure of an inscribed angle is half the measure of the arc it subtends. The measure of an exterior angle of a triangle is equal to the sum of the remote interior angles. The measure of an exterior angle at the intersection of secants is half the difference of the arcs the secants subtend.
__
Using the secant relation, we find ...
∠Y = 1/2(RS -VX)
2×∠Y +VX = RS
2(28°) +18° = 74° = arc RS
__
Using the relations involving interior and exterior angles of a triangle, we have ...
∠S = 1/2(VX) = 1/2(18°) = 9°
∠RVS = ∠S +∠Y = 9° +28° = 37°
arc RS = 2×∠RVS = 2(37°) = 74°
**PLEASE I NEED THIS ASAP I WILL GIVE THE BRAINLIEST**
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the expressions given in words with their algebraic expressions.
On
LIOT
-59
{ +59
5(549)
5+39
5(85)
the quotient of 5 divided by a
minus the product of 5 and 9
>
the sum of 5 and the
product of 3 times a
the product of 5 and the
difference of q minus 5
the quotient of q divided by 5
plus the product of 5 and 9
Answer:
the quotient of 5 divided by q minus the product of 5 and q --> 5/q - 5q
the sum of 5 and the product of 3 times q --> 5 + 3q
the product of 5 and the difference of q minus 5 --> 5(q - 5)
the quotient of q divided by 5 plus the product of 5 and q --> q/5 + 5q
Step-by-step explanation:
The correct tiles to the correct boxes to complete the pairs are,
1) The quotient of 5 divided by q minus the product of 5 and q
⇒ 5/q - 5q
2) The sum of 5 and the product of 3 times q,
⇒ 5 + 3q
3) The product of 5 and the difference of q minus 5,
⇒ 5(q - 5)
4) The quotient of q divided by 5 plus the product of 5 and q,
⇒ q/5 + 5q
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression are,
1) The quotient of 5 divided by q minus the product of 5 and q
2) The sum of 5 and the product of 3 times q,
3) The product of 5 and the difference of q minus 5,
4) The quotient of q divided by 5 plus the product of 5 and q,
Now,
The correct mathematical expression are,
1) The quotient of 5 divided by q minus the product of 5 and q
⇒ 5/q - 5q
2) The sum of 5 and the product of 3 times q,
⇒ 5 + 3q
3) The product of 5 and the difference of q minus 5,
⇒ 5(q - 5)
4) The quotient of q divided by 5 plus the product of 5 and q,
⇒ q/5 + 5q
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How can you write the expression 7(b – 2) in words?
A.
two subtracted from the quotient of seven divided by b
B.
seven added to difference of b minus two
C.
the quotient of seven divided by b minus two
D.
two subtracted from seven times b
E.
the product of seven and the difference of b minus two
Solution:
Let's verify each option to see which is correct.
Option A
Two subtracted from the quotient of seven divided by b.
=> 7/b - 2 = 7(b - 2) [False]Option B
Seven added to difference of b minus two.
=> 7 + (b - 2) = 7(b - 2) [False]Option C
The quotient of seven divided by b minus two.
=> 7/b - 2 = 7(b - 2) [False]Option D
Two subtracted from seven times b
=> 7b - 2 = 7(b - 2) [False]Option E
The product of seven and the difference of b minus two
=> 7 x (b - 2) = 7(b - 2) = 7(b - 2) [True]Option E is correct.
Answer:
Option E
Step-by-step explanation:
Let's check
Difference of b-2 It has multiplied with 7So the expression becomes 7(b-2)
2.The table below shows the relationship between the number of tickets sold for a concert and a theater's net profit, in dollars. Determine the rate of change and what the rate of change
represents in this situation.
Concert Profit
Tickets Net Profit
Sold
($)
150
-500
200
0
225
250
400 2,000
The rate of change is 1/10. This means every 1 ticket sold produces a net profit of $10.00.
The rate of change can not be determined from the table above.
The rate of change is 10. This means every 1 ticket sold produces a net profit of $10.00
The rate of change is 10. This means every 10 tickets sold produces a net profit of $1.00.
The true statement about the rate of change of the table is (c) The rate of change is 10. This means every 1 ticket sold produces a net profit of $10.00
How to determine the rate of changeFrom the table, we have the following ordered pairs
(x,y) = (150,-500) and (200,0)
The rate (r) is then calculated as:
[tex]r = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, the equation becomes
[tex]r = \frac{0 + 500}{200 - 150}[/tex]
Evaluate the difference and the sum
[tex]r = \frac{500}{50}[/tex]
Evaluate the quotient
[tex]r = 10[/tex]
The value of the rate represents that for every 1 ticket sold, there is a net profit of $10
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Does anyone know No.8 and No.10?
Answer:
umm i think for the coin its 50% maybe? because tails would be 1/2
Step-by-step explanation:
im not sure for the second one though D:
Answers and Explanation:
8. It is a fair coin, meaning it has 2 equal landing possibilities. The probability of the coin landing on Head or Tail is equal, so the answer is 1/2
250 contestants playing, means the coin is flipped 250 times. Multiply the probability of it landing on Tails by the number of contestants.
=> [tex]\frac{1}{2}*250=125[/tex] . Therefore 125 contestants are expected to win.
10. The sample space is made of 1-12, there are 12 numbers. Probability is equal to number of outcomes/ sample space
a. P(x>10) = 2/12 = 1/6
This is because there are 2 numbers greater than 10. They are 11 and 12.
b. P(x<5) = 4/12 = 1/3
There are 4 numbers smaller than 5 (1,2,3,4)
c. P(4,6,9) = P(x=4) + P(x=6) + P(x=9)
=> 1/12 + 1/12 + 1/2 = 1/4
It is 1/12 for all three because there's only one of each number in the sample space. We add because in probability 'OR' means 'ADD'.
Now multiply your probability by the number of times the solid was rolled for your final answer.
=> [tex]1/4*200= 50 times[/tex]
50 times is the final answer
How many terms are there in the expression –2p3–3p2+7?
Answer:
No like terms
Step-by-step explanation:
Let's simplify step-by-step.
−2p3−3p2+7
There are no like terms.
Answer:
=−2p3−3p2+7
Answer:
There are 4 terms in the expression.
Step-by-step explanation:
Algebraic expressions :
A combination of constants and variables , connected by four fundamental arithmetical operations i.e addition , subtraction , multiplication and division is called an algebraic expressions
Terms:
Various parts of an algebraic expression , which are separated by + or – are called terms of the algebraic expression
EVALUATION
Here the given expression is
2p³ - 3p² + 4p + 7
Since Various parts of an algebraic expression , which are separated by + or – are called terms of the algebraic expression
So the terms are 2p³ , - 3p² , 4p , 7
We know that the number of terms in an algebraic expression is the total number of distinct terms in the expression
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on a biased dice, the probability of getting a 6 is 4/5
the dice is rolled 500 times
how many sixes would you expect to roll?
Answer:
400
Step-by-step explanation:
Based on the information given.
4/5 x 500
0.8 x 500
400
I hope this helps!
What type of association does the graph show between x and y?
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association
Answer:
Linear negative association
Step-by-step explanation:
All points are in a line, so it is linear.
As x increases, y decreases. That is a negative association.
Answer: Linear negative association