Answer:
a. $150
b. $158.25
Step-by-step explanation:
a.The amount of tax is the product of the tax rate and the price being taxed. This relation can let us solve for the price.
tax = tax rate × price
price = tax/(tax rate) = $8.25/0.055 = $150.00
The purchase price of the table saw is $150.00.
__
b.The total price is the sum of the purchase price and the tax.
total price = price + tax
total price = $150.00 +8.25 = $158.25
The total price of the table saw is $158.25.
Help picture below problem 14
The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.
*look at the image I attached for a better explanation
By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation
[tex]?^2+6^2 = 10^2\\?^2 + 36 = 100\\?^2 = 64\\? = 8[/tex]
Thus the missing side length is 8 cm
Hope that helps!
How to solve [tex]\frac{dy}{dx} =2|x|[/tex] ?
dy= 2|x|dx
integral dy= integral 2|x|dx
y= X² + c
Diego rides his bicycle at a constant rate of 0.3 kilometers per minute. Which graph best represents y, the total number of kilometers Diego rides his bicycle in x minutes?
y(x)=0.3x
since he travels 0.3 kilometers for each minute (x)
then y as a function of x is 0.3×the number of minutes(x)
tickets originally worth p dollars were discounted by 28%. which expression represents the discounted price of the tickets?
Answer:
.72p
Step-by-step explanation:
1p equals the original price
100 percent of p
we are reducing it by 28 percent, which means only 72 percent of p will remain
72 percent or .72
.72p
please answer correctly thanks
Answer:
Step-by-step explanation:
add all the three.
Answer:
60
Step-by-step explanation:
AD= AB+BC+CD
=22+29+9
=60 cm
How do you know what units to use for Tamara to feed her cats
The units use for Tamara's cats is an illustration of metric units
Tamara's unit of feeding her cats is cups
How to determine the unit of measurement?From the complete question, the amount of feed Tamara gives her cat to be:
Amount = 1/8 cups
This means that the unit of feed Tamara used is cups
Hence, Tamara's unit of feeding her cats is cups
Read more about metric units at:
https://brainly.com/question/2555957
a cyclist travels 108m in 12 seconds.what is her speed in km/h
Step-by-step explanation:
=108÷12
=9m/s
=9x0.001x1/3600
=2.5x10^6km/h
HELP PLEASE SHOW WORK
A triangle has one angle that measures 40 degrees, one angle that measures 119 degrees, and one angle that measures 21 degrees.
What kind of triangle is it?
A.
acute triangle
B.
equilateral triangle
C.
obtuse triangle
D.
right triangle
Answer:
obtuse triangle
Step-by-step explanation:
one angle measures more than 90°
f(1)=15
f(n)=f(n-1)·n
f(2)=?
Answer:
is f(2)=13 this is the answer because You have to división ir multiplicar ir
Answer:
f(2)=30
Step-by-step explanation:
Khan <3
Kevin made 4 identical necklaces each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.60. If the beads cost a total of 9.20 how much did each pendant cost
observa la sucesion que llevan las figuras realiza las figuras que faltan
Answer:
13, 16, 19, 22, 25, etc.
Step-by-step explanation:
You're pretty much just adding three for the chart. And for the diagram, you're adding two.
Which expression is three less than the product of a number and two,increased by five
Answer:
(2x+5)-3
Step-by-step explanation:
Brook's score in a card game is 713 + 102 + 516. On her next turn, she draws one of the cards shown. Now her score is (713 + 102 + 516) ÷ 2. Which card did Brook draw? Explain.
Darya is a real estate broker with a house listing. She estimates that this listing will cost her $2300 for various expenses. If Darya sells the house within 6 months, she will receive a commission of $20,000. If it takes longer than 6 months, the listing will expire, and she'll lose the $2300 she spent on expenses. She estimates the probability that she'll sell the house within 6 months is 80%. Determine Darya's expectation for this listing.
Using a discrete distribution, it is found that Darya's expectation for this listing is of $13,700.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
In this problem, considering the situation described in the text, the distribution is given by:
P(X = 17,700) = 0.8.P(X = -2,300) = 0.2.Hence, her expectation is given by:
E(X) = 0.8 x 17,700 - 0.2 x 2,300 = $13,700.
More can be learned about discrete distributions at https://brainly.com/question/24855677
A department store has 950 customers one day, and 82% of customers made a purchase. Of the customers who made a purchase, 528 bought just one item, 186 bought two items, and the remainder bought three or more items. How many customers bought three or more items?
Answer:
65 bought 3 or more items.
Step-by-step explanation:
See attached summary. The total purchasing customers was 779 (0.82*950). Use the percentages to calculate calculate the numbers of customers who purchased one and two items (528 and 186). Add those and subtract from the total number of customers who purchased anything (779) , to arrive at the number who bought three or more items. 65 bought three or more items.
7. Which statement proves that a quadrilateral is a rhombus? A There is no line of symmetry B. All four sides are congruent C. The diagonals bisect each other D. The diagonals are perpendicular
Answer:
B. All four sides are congruent
Step-by-step explanation:
To prove a quadrilateral is equal, prove the four sides to be equalAs the defining feature of a rhombus is that it has 4 equal sidescan you please help me
Answer:
168
Step-by-step explanation:
yea..
100 points and Brainliest for whoever answers this question correctly first.
No, this is not a test.
Yes, I would appreciate the quickest answer possible.
Answer:
[tex]\dfrac{1}{102}[/tex]
Step-by-step explanation:
Average rate of change of function [tex]f(x)[/tex] over the interval [tex]a \leq x \leq b[/tex] is:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given function:
[tex]f(x)=\dfrac{2x-2}{5x-6}[/tex]
Given interval [tex]0\leq x\leq 8[/tex] :
when [tex]x=0[/tex]:
[tex]f(0)=\dfrac{2(0)-2}{5(0)-6}=\dfrac13[/tex]
when [tex]x=8[/tex]:
[tex]f(8)=\dfrac{2(8)-2}{5(8)-6}=\dfrac{7}{17}[/tex]
Therefore, average rate of change:
[tex]\dfrac{f(8)-f(0)}{8-0}=\dfrac{\frac{7}{17}-\frac13}{8}=\dfrac{1}{102}[/tex]
Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(0, −8) and line y = 8.
Answer:
-1/32 × x
Step-by-step explanation:
let's define and identify the correct markers of the correct parabola.
so, we have the focus point F (0, -8).
we have the directrix y = 8.
that means the the vertex point (the middle between the focus and the directrix) is (0, 0).
a parabola is turning away from the directrix. the vertex here is below the directrix, so the parabola is opening downwards and has therefore a negative factor of x.
so, we can rule out the 2 positive answer options.
to decide between the other 2, let's use a value of x and see, if the point is equidistant to the focus and the directrix.
e.g. x = 1
so,
y = -1/8 × x²
gives us y = -1/8 for x = 1
that means the point is (1, -1/8).
the distance to the focus (0, -8) is
(1 - 0)² + (-1/8 - - 8)² = 1 + (7 7/8)² = 1 + (63/8)² =
= 64/64 + 3969/64 = 4033/64
the distance to the directrix is the distance to the point (1, 8) as the point on the directrix must have the same x value.
so, the distance (1, -1/8) to (1, 8) is
(1 - 1)² + (-1/8 - 8)² = 0 + (-65/8)² = 4225/64
that is not equal to the distance to the focus.
so, let's try
y = -1/32 × x
the point for x = 1 is (1, -1/32)
distance to focus
(1, -1/32) to (0, -8) = (1-0)² + (-1/32 - -8)² = 1 + (255/32)² =
= 1024/1024 + 65025/1024 = 66049/1024
distance to directrix
(1, -1/32) to (1, 8) = (1-1)² + (-257/32)² = 66049/1024
which is the same distance as to the focus.
so, y = -1/32 × x is the right answer.
FYI - for an actual distance I would have to create the square roots of the numbers used here.
but since we only needed to see, if distances are equal or not, it was sufficient to check if the squares of the distances are equal or not.
How do you write 7,100 in scientific notation
Answer:
7.1 x 10³
Step-by-step explanation:
Move your decimal so that it follows your first whole number greater than zero. The number of places you moved the decimal is the same as the exponent. Since the number 7.1 needs to INCREASE to be 7,100, then the exponent is positive.
Answer:
7.1 x 10[tex]^{3}[/tex] (note the 3 is an exponent)
Step-by-step explanation:
1. Count how many places there are to the right of 7
2. There are 3
3. Apply the formula of scientific notation a x 10[tex]^{b}[/tex]
4. 7.1 x 10[tex]^{3}[/tex] (remove all digits after 7.1
Hope this helps :)
PLSS HELP ME
12/12 + 12/12 + 7/12=_____
2 7/12
This is because 12/12 is equal to 1/1 or 1. So 12/12 + 12/12 = 2.
2 + 7/12= 2 7/12
Answer:
31
-----
12
Step-by-step explanation:
12 12 7 31
---- + ------- + ----- = -------
12 12 12 12
Add the numerators together (top number) and keep the denominator the same (bottom number)
I hope this helps!
What is 3 x 1/10 pls answer
Answer:
3/10 or 0.3
Step-by-step explanation:
3 times 1 and you'll get 3 over 10, or in decimal it will be 0.3
The dosage for a painkiller is 0.05 mg per kilogram of a patient's body mass. How much of the drug should be administered to a patient who is 50 kg?
A 50-kg patient would be given mg of painkiller?
Answer:
0.05 mg for 1 kg, so multiply 0.05 by 50, since the patient is 50 kg, and you get 2.5 mg.
Answer:
2.5 mg
Step-by-step explanation:
.05 mg / kg * 50 kg = 2.5 mg
Find the area of the shaded polygons
NEED ASAP PLEASE!! THANK YOU
Answer:
168
Step-by-step explanation:
area of a trapezoid is
((a+b)/2)*h
((8+16)/2)*14
12*14 =
168
what is the answer to -2-(-2)
Answer:
0
Step-by-step explanation:
-2 + 2 = 0
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Jose explained to his friend, Emily, that when you multiply matrix A by matrix B, you get the same result as if you multiplied matrix B by matrix A. Is he correct? Explain why or why not for full credit
Answer:
yes he is
Step-by-step explanation:
he is correct because say if I multiplied 25 by 10 I would get 250 same would go for if I multiplied 10 by 25 I still would get 250.
I hope this helps
The difference of two numbers is 8. What two numbers will minimize the product? The numbers are ___ and ____.
Answer:
-4 and 4
Step-by-step explanation:
Have a good day.
Answer:
answer is -4 and 4 ):(
Step-by-step explanation:
Solve for X and Y
1. y = 2x
6x + 3y = 12
2. y = -4x + 2
y = 6x - 8
3. y = x - 4
-4x - 6y = -16
4. x = 3y + 1
2x + 4y = 12
Answer:
What do you mean?
Step-by-step explanation:
Write the equation of a parabola with focus at (1,-4) and a directrix at X=2
Answer:
The equation of a parabola is
[tex]x = \frac{1}{4(f - h)} (y - k) ^{2} + h[/tex]
Step-by-step explanation:
(h,k) is the vertex and (f,k) is the focus.
Thus, f = 1, k = −4.
The distance from the focus to the vertex is equal to the distance from the vertex to the directrix: f - h = h - 2.
Solving the system, we get h = 3/2, k = -4, f = 1.
The standard form is:
[tex]x = - \frac{y ^{2} }{2} - 4y - \frac{13}{2} [/tex]
The general form is:
[tex]2x + {y}^{2} + 8y + 13 = 0[/tex]
The vertex form is:
[tex]x = - \frac{(y + 4) ^{2} }{2} + \frac{3}{2} [/tex]
The axis of symmetry is the line perpendicular to the directrix that passes through the vertex and the focus: y = -4.
The focal length is the distance between the focus and the vertex: 1/2.
The focal parameter is the distance between the focus and the directrix: 1.
The latus rectum is parallel to the directrix and passes through the focus: x = 1.
The length of the latus rectum is four times the distance between the vertex and the focus: 2.
The eccentricity of a parabola is always 1.
The x-intercepts can be found by setting y = 0 in the equation and solving for x.
x-intercept:
[tex]( - \frac{13}{2} \: ,0)[/tex]
The y-intercepts can be found by setting x = 0 in the equation and solving for y.
y-intercepts:
[tex](0, - 4 - \sqrt{3)} [/tex]
[tex](0, - 4 + \sqrt{3)} [/tex]
-5x+y=-10 and -4x-y=-26
[tex]\left\{\begin{matrix}x=4\\y=10\\\end{matrix}\right.[/tex]
Step-by-step explanation:Solve the equation[tex]\left\{\begin{matrix}-5x+y=-10\\-4x-y=-26\\\end{matrix}\right.[/tex]
_____________________________________
Add the two equations[tex]-5x+y+(-4x-y)=-10+(-26)[/tex]
____________________________
Remove parentheses[tex]-5x+y-4x-y=-10-26[/tex]
_________________________________________________
Cancel one variable[tex]-5x-4x=-10-26[/tex]
___________________________________________
Combine like terms[tex]-9x=-10-26[/tex]
______________________________________________
Calculate the sum or difference[tex]-9x=-36[/tex]
________________________________________________
Divide both sides of the equation by the coefficient of variable
[tex]x=\frac{-36}{-9}[/tex]
____________________________________________________
Determine the sign for multiplication or division
[tex]x=\frac{36}{9}[/tex]
_________________________________________
Cross out the common factor
[tex]x=4[/tex]
_____________________________________________Step-by-step explanation:Substitute into one of the equations[tex]-4\times4-y=-26[/tex]
____________________________________________________
Calculate the product or quotient
[tex]-16-y=-26[/tex]
______________________________________________________
Rearrange variables to the left side of the equation
[tex]-y=-26+16[/tex]
_____________________________________________
Calculate the sum or difference
[tex]-y=-10[/tex]
_________________________________________-
Divide both sides of the equation by the coefficient of variable
[tex]y=10[/tex]
I hope this helps you
:)