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.
camilo uses 32 ounces of filling to make empanadas. he puts 8 empanadas on each of 3 trays. Write a fraction to show how many ounces of filling camilo uses in each empanada. Please reply quickly!
Answer:
32/4
Step-by-step explanation:
(10) The population of bacteria an experiment can be modeled by d p(d)= 400(1.56)^d , where d is the number of days the population has been growing.
(a) Find the average rate the population has been growing over the interval 0≤d≤7.
Round to the nearest integer and include appropriate units.
(b) If the population of bacteria was modeled as a function of the number of hours, h,
such that h p(h)= 400b^h then what would be the value of b to the nearest thousandth?
Show or explain how you found your answer.
The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]
What is an exponential function?An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Let p represent the population of the bacteria after d days.
[tex]P(d)=400(1.56)^d\\\\P(7)=400(1.56)^7=8994\\\\P(0)=400\\\\\\Average\ rate\ of\ change=\frac{P(7)-P(0)}{7-0}=\frac{8994-400}{7-0} =1228[/tex]
b) 24 hours = 1 day, hence:
[tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]
The average rate at which the population is growing over the interval 0≤d≤7 is 1228, while the exponential function as a function of hours is [tex]p(h)=400(1.56)^{\frac{h}{24} }[/tex]
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7. SHORT ANSWER Determine whether the
relationship between the two quantities
in the table is proportional. Explain
your reasoning.
Answer:
it is proportional because there is a roc of +5 bc as one hour increases 5 dollars is added to the initial cost
What is the measure of m? n 20 m 5 m.
m = 5 V Give your answer in simplest form. Enter
Answer:
m = 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
To find the measure of m we use the following Euclidian theorem:
m^2 = 5*(5+20)
m^2 = 125 find the root for both sides
m = 5[tex]\sqrt{5}[/tex]
find the equation (in terms of x) of the line through the points (-2,1) and(2,9)
Y=
Answer:
2
Step-by-step explanation:
gradient =y² -y¹ /x²-x¹
=9-1/2--2
=8/4
=2
Answer:
y = 2x + 5
Step-by-step explanation:
There are 2 ways to find this equation:
The first way: We have: y = ax + b (this is the line, right?)
The line is through the point (-2, 1) so we have:
1 = (-2)a + b (1)
The line is also through the point (2, 9) so we have:
9 = 2a + b. (2)
From (1) and (2) we get a equals 2, b equals 5. Then:
y = 2x + 5
The second way:
Let A(-2, 1) and B(2, 9), then AB = (4, 8).
=> The normal vector of this line is n = (-2, 1).
The line that is through the points A(-2, 1) and B(2, 9), and has the normal vector n=(-2, 1) has the equation:
[tex]-2(x - 2) + 1(y - 9) = 0[/tex]
[tex]-2x + y - 5 =0\\ < = > y = 2x + 5[/tex]
What is the slope of the line that passes
through (7,3) and (-2,4)?
O 7
02
- 9
0-
OS
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's calculate the slope ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{3 - 4}{7 - ( - 2)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ - 1}{9} [/tex]
That's the required slope, I hope it helps~
The area of South America is approximately 1.78 × 107 square kilometers. Its population is approximately 3.50 × 108 people. What is the approximate population density (people per square kilometer) of South America? Write your answer in standard form. If necessary, round your answer to the nearest hundredth.
A: 19.66 people/km^2
B: 1.97 × 10^15 people/km2
C: 5.09 people/km^2
D: 1.97 × 10^1 people/km^2
Answer: 19.66 people/km^2, A
Step-by-step explanation:
The population density will be equal to 82.96 people/km2.
The correct option is B.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
here, we have,
Given that the area is 1.78 × 10⁷ km² with 3.50 × 10^8 people.
The population density will be calculated as below:-
Density = people / km² = ( 3.50 × 10^8 ) / ( 1.78 x 10⁷ )
Density =19.66
Density = 19.66 people/km²
Therefore, the population density will be equal to 82.96 people/km2. The correct option is A.
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Right triangle
What is the area
Left = 20 in
Bottom = 2 in
Answer:
20sq in
Step-by-step explanation:
h x b / 2
20 x 2 / 2
40/2
20
Ms Lim bought x pencils and two more pens than pencils. (b) Each pencil costs 60 cents and each pen costs $2. Write down, in terms of x, the total cost in dollars of the pencils and pens which Ms Lim bought
Answer:
0.60x + ((x+2)(2)) = total cost
Step-by-step explanation:
The pencils = 60 cents
0.60x = (0.60, the money, multiplied by x number of pencils)
The pens = 2 dollars
2(x+2) = (2, the money, multiplied by x number of pencils + 2 more pens)
Answer:
($2.60x + $4 = TC(x)
Step-by-step explanation:'
The number of pens bought would be x + 2, where x is the number of pencils bought. Then:
Total cost = ($0.60/pencil)x + ($2/pen)(x + 2) = ($2.60x + $4 = TC(x)
5-3x5* Whats the answer
Answer:
-10
Step-by-step explanation:
5 - 3*5
= 5 - 15
= -10
The square root of 7^16 is equal to 7^n for some positive integer n. Find n.
[tex]\sqrt{7^{16}} = 7^n\\\\\implies \left(7^{16}\right)^{\tfrac 12} = 7^n\\\\\implies 7^{\left(\tfrac 12 \times 16\right)}=7^n\\\\\implies 7^8 = 7^n\\\\\implies \ln 7^8 = \ln 7^n\\\\\implies 8\ln 7 = n \ln 7\\\\\implies n =8[/tex]
At the store grapes are on sale. You can buy 3 pounds for
$2 dollars. At that rate, how many pounds can you buy
for $8? Show how you know.
Answer:
If you buy 3 pounds for $2, and have 8 dollars to spend, then multiply 2x4 to get $8. Since we multiplied by 4 for the money, we do the same thing for the pounds of grapes. So, we multiply 3x4 to get 12 pounds. So, you can buy 12 pounds of grapes for $8.
Step-by-step explanation:
Hope this helps! :)
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP.
On Tuesday, Karen finished all her chores in 3/4 of an hour. On Wednesday, she finished her chores in 5/12 of an hour. How much faster was Karen on Wednesday than Tuesday?
¿ Cuanto es 3 por 5 centésimas ?
Answer:
0.15 or 3.05
Step-by-step explanation:
3*(5/100) = 15/100 = 3/20 = 0.15
or
3 5/100 = 305/100 = 61/20 = 3.05
dependiendo de lo que esté tratando de encontrar
lo siento si mi español es malo
espero que esto ayude
What’s the circumstance of a circle with a diameter of 18 m
C = pi x d
C = 3,14 x 18 = 56,52 m
Answer:
The answer is 56.57
thank you
Lola bought 4.25 yards of ribbon. The ribbon cost $1.59 per yard. What was the
total cost of her ribbon to the nearest cent?
Fill in the blanks with an operation symbol and a number to complete the
equation.
4.25___$1.59 = $_
Could someone help me with this
What is -x<-29?
Answer:
its positive 29 since you dividin a negative 1 and a negative divided by a negative is a positive
Step-by-step explanation:
Answer:
Assuming you're hoping to solve the inequality for x, x > 29
Step-by-step explanation:
When dividing both sides of an inequality by -1, the sign will be reversed. In this case, the sign will change from a less than to a greater than, meaning -x < -29 => x > 29.
find the first derivative of x^2+y^2=25
Answer:
[tex]\frac{dy}{dx}=-\frac{x}{y}[/tex]
Step-by-step explanation:
Use implicit differentiation:
[tex]x^2+y^2=25\\\\2x+2y\frac{dy}{dx}=0\\ \\2y\frac{dy}{dx}=-2x\\ \\\frac{dy}{dx}=-\frac{x}{y}[/tex]
Remember to treat "y" as a constant in implicit differentiation and include dy/dx.
Which number does NOT round to 880?
893
883
882
878
Answer:
893
Step-by-step explanation:
893 is too far away to round to 880. It would actually round to 890.
The last digits of 883 and 882 are small enough to round to 880.
The last digit of 878 is large enough to round to 880.
Answer:
893
Step-by-step explanation:
We round down if the digit is less than 5
We round up if the digit is 5 or more
Rounding to the nearest 10:
893 → 890 (round down as 3 is less than 5)
883 → 880 (round down as 3 is less than 5)
882 → 880 (round down as 2 is less than 5)
878 → 880 (round up as 8 is more than 5)
So the only number that does NOT round to 880 is 893.
This graph shows the amount of sugar and the total calories in 8 items on the
menu at a restaurant
Answer:
a: there are 30 calories additional grams of sugar for every additional calorie in a menu item
Step-by-step explanation:
Help help help help help help math
Answer:
55
Step-by-step explanation:
Area=LxW
so, Area=11x5
=55
Answeri think its 55
Step-by-step explanation:
you have to multiply 5x11 and thats 55 which is simple becaused i suck at explaining stuff
PLEASE HELP MATH. WILL GIVE BRAINLIST AND TONS OF POINTS
Answer:
[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]
[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]
[tex]\sf 3.78\times 10^{4}[/tex]
Step-by-step explanation:
Scientific notation: [tex]\sf a \times 10^b[/tex]
(where [tex]\sf 1 \leq |a| < 10[/tex] and b is the power of 10 required so that the notation is equivalent to the original number)
Move the decimal point back 13 places then multiply by [tex]\sf 10^{13}[/tex]:
[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]
Move the decimal point back 8 places then multiply by [tex]\sf 10^{8}[/tex]:
[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]
Divide the total debt by the population to calculate how much each person would owe if the debt was divided equally among everyone in the US:
[tex]\sf \dfrac{11,600,000,000,000}{307,000,000}=\dfrac{1.16 \times 10^{13}}{3.07 \times 10^{8}}=\dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}[/tex]
Apply exponent rule [tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]
[tex]\sf \dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}=0.3778501629... \times 10^{13-8}[/tex]
[tex]\sf =0.378\times 10^{5}[/tex]
[tex]\sf =3.78\times 10^{4}[/tex]
(remembering that the first part "0.378" needs to be equal to or greater than 1, but smaller than 10)
A map of a highway has A scale of 2 inches= 27 miles. The length of the highway on the map is 9 inches. There are 7 rest stops equally spaced on the highway, including one at each end. You’re making a new map with a scale of 1 inch= 30 miles. How far apart are the rest stops on the new map?
Answer:
From what i've researched, your answer might be "5 miles apart." or possilby "25.7 miles apart."
Step-by-step explanation
Im sorry if none of these answers are correct.
Complete the square to re-write the quadratic function in vertex form: y=x2-x+3
Answer:
Step-by-step explanation:
hello :
note : the vertex form is :
ax²+bx+c = a(x+(b)/(2a))²- delta/4a² and delta = b²- 4ac
in this exercice you have : a =1 b = -1 and c= 3
continu ..........
Find the vertex of this parabola:
y = -x2 - 4x - 2
[tex]===============================[/tex]
In order to find the vertex of a parabola, we use the following formula:
[tex]\bold{\displaystyle\frac{-b}{2a} }}[/tex]
Remember, a parabola looks like so:
[tex]\tt{y=ax^2+bx+c}[/tex]
Now we know what a and b stand for.
In this case, b is -4, and a is -1:
[tex]\hookrightarrow\sf{\displaystyle\frac{-(-4)}{2(-1)}[/tex]
Simplify:
[tex]\hookrightarrow\sf{\displaystyle\frac{4}{-2} }}[/tex]
Divide:
[tex]\hookrightarrow\sf{-2}[/tex]
[tex]===================================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is power!Answered by:[tex]\mathbb{DiAmOnD}\\{\boxed{An~Emotional~And~Creative~Helper}}}}[/tex]
Raul threw a football 48 yards. Then, he
threw the ball another 46 yards. Finally, he
threw it another 50 yards. How many
FEET did he throw the ball. (hint: convert
yards to feet)
Answer:
432 ft.
Step-by-step explanation:
Add up the yards he threw the ball, which is 144 yards, and then convert it to feet (1 yd = 3 ft)
HELP ME! PLEASE!
Help me!j
Answer:
C is the correct answer hope i helped
Step-by-step explanation:
Eight subtracted from four times a number is 84. What is the number?
A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use
x
as your variable.
The equation is
B) Solve your equation in part [A] for
x
.
Answer:
x
=
Answer:
Hope the picture will help you
Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the explicit rule for this sequence in simplified form?
Answer:
d
Step-by-step explanation:
The explicit rule for this sequence in simplified form is,
⇒ [tex]a_{n}[/tex] = 500n + 30,000
Where, n is number of months.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Mr. Red's first year salary is $30,000 and it increases by $500 each year.
Now, Let number of months = n
We can formulate explicit rule for this sequence in simplified form as,
⇒ [tex]a_{n}[/tex] = 500n + 30,000
Therefore, The explicit rule for this sequence in simplified form is,
⇒ [tex]a_{n}[/tex] = 500n + 30,000
Where, n is number of months.
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What is the standard deviation of data set? 6,4,9,5,5,4,5 Round the answer to the tenths place.
Answer:
1•7
Step-by-step explanation:
Answer Accorfing ti te pasaje we no get: