Answer:
x - 1
Step-by-step explanation:
3(3x + 3) - 2(5 + 4x)
9x + 9 -10 - 8x
x - 1
hope this helps!
8. The number of iTunes downloaded by 25 students in one week ranges from 15 to 55. The box and whisker plot depicts this data.
Answer:
The answer is C
Step-by-step explanation:
John was 40" tall in 2008 and 46" tall in 2010. Dave was 53" tall in 2003 and 70" tall in 2007. Who is growing at
a faster rate? If each person keeps growing at the same rate, how tall can we expect each to be in 2011? Is this
a reasonable expectation?
Answer:
John is growing at a faster rate.
Step-by-step explanation:
John grew 6 inches in 2 years, while Dave grew 7 inches in 4 years. We can expect John to grow another 3 inches by 2011, making John 49 inches tall in 2011. We can expect Dave to grow about another 7 inches by 2011, since another 4 years has passed. This seems reasonable enough...
A recipe that will make 5 pies calls for 8 cups of flour. Determine how many pies can be made with 48 cups of flour
3 cm 3.5 cm 7 cm find the area
Answer:
\(73.5cm^{2}\)
Step-by-step explanation:
A cylinder shaped can needs to be constructed to hold 300 cubic centimeters of soup. The material for the sides of the can costs 0.03 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production cost.A cylinder shaped can needs to be constructed to hold 300 cubic centimeters of soup. The material for the sides of the can costs 0.03 cents per square centimeter. The material for the top and bottom of the can need to be thicker, and costs 0.06 cents per square centimeter. Find the dimensions for the can that will minimize production cost.
Answer:
Step-by-step explanation:
Cost = Area Cylinder body* cost * 0.03 cm^3 + Area of 2 lids*cost 0.06 of cm^3
Volume = 300 cm^3
Volume = Base *h
Volume = pi * r^2 * h = 300
h = 300/(pi * r^2 )
Area material = 2*pi * r * h * 0.03 + 2 pi r^2 * 0.06
Area material = 0.06*pi * r * 300/(pi* r^2) + 0.12 * pi * r^2
dmaterial/dr = (-1)18 r^-2 + 0.12 pi * 2*r
dmaterial/dr = -18 r^-2 + 0.24 pi * r
The minimum occurs when the right side = 0
18/r^2 = 0.24 *pi r
18 = 0.24*pi * r^3
18/(0.24 * pi) = r^3
23.89 = r^3
cube root (23.89) = cuberoot(r^3)
r = 2.88 cm
h = 300/pi * r^2
h = 300/(3.14 * 2.88^2)
h = 11.52
This isn't much of a check but we can try it.
Volume = 3.14 * 2.88^2 * 11.52
Volume = 302.01 which considering all the rounding is pretty close.
Here's a graph that confirms my answer.
state which of the following matrices are equal
there is no equations
Hey There!
Step-by-step explanation:
Which of the matrices are equal?
Two matrices are said to be equal if: Both the matrices are of the same order i.e., they have the same number of rows and columns A m × n = B m × n .
Which expression represents the growth of an investment of $8,000 at 7.5% per year for a period of t years? 8000(1.075t) 8000(1.075)t 8000(0.075)t
Answer:
its b
Step-by-step explanation:
because im feeling generous enjoy
Find the domain for each expression:
1. 1/x
2. 1/x+5
3. X+5/x+5
4. X^2/x
5. 7/x-2
What is the domain of the sine and cosine functions?
Answer:
domain of the sine and cosine functions is all real numbers
Step-by-step explanation:
range of both the sine and cosine functions is [−1,1]
graph can go left and right to infinity
graph goes up and down between 1 and -1
graph looks like a wave or
like U letters next to each other
UUUU
sine and cosine of an angle have the same absolute value as the sine and cosine of its reference angle.
mathlibretextsorg
Yesterday, 37% of the drivers for Quinn's Taxi Service worked. At Bella's Taxi Express, 3 out of 10 drivers worked. Which taxi service had a greater percentage of its drivers working?
Answer:
Quinn's Taxi Service
Step-by-step explanation:
a) Yesterday, 37% of the drivers for Quinn's Taxi Service worked.
Hence, the percentage for Quinn's Taxi Service drivers that are working is 37%
b) At Bella's Taxi Express, 3 out of 10 drivers worked.
The percentage for Bella's Taxi drivers that are working is calculated as:
3/10 × 100
= 30%
Therefore, the taxi service that had a greater percentage of its drivers working is Quinn's Taxi Service with a high percentage of 37%
Solve for m. –8m = 3 − 9m m =
Answer:
m=3
Step-by-step explanation:
–8m = 3 − 9m
-8+9m = 3
m = 3
Expand the expression by distributing
-2(-4x-7)
Answer:
8x+14
Step-by-step explanation:
6. In Fayetteville, the library is 3 miles due west of the post office and the zoo is
5 miles due north of the library. What is the distance from the post office to
the zoo?
Please answer:(
The distance from the post office to the zoo is 5.8 miles.
What is distance?Distance is a numerical measurement of how far apart objects or points are.
Let us suppose the points,
A be the post office,
B be the library, and
C be the zoo
Now it is given in the question,
Distance between library and post office, BA = 3 miles West
Distance between post office and zoo, BC = 5 miles North
Consider right angle triangle ABC with vertex at B,
AC² = BC² + AB²
AC² = 5 ² + 3²
AC² = 25 + 9
AC² = 34
AC = \(\sqrt{34}\)
AC ≈ 5.83 miles
Hence, The distance from the post office to the zoo is 5.8 miles.
More about distance :
https://brainly.com/question/10377900
#SPJ6
what’s the slope and y-int of, [-1,7] and [0,4]
\(\huge\text{Hey there!}\)
\(\huge\textbf{What is the formula for finding slope?}\)
\(\mathbf{\dfrac{y_2 - y_1}{x_2 - x_1} = slope}\)
\(\huge\textbf{Often people understand it better by:}\)
\(\mathbf{\dfrac{rise}{run} = slope}\)
\(\huge\textbf{Answering the given question:}\)
\(\mathbf{y_2 \rightarrow 4}\\\\\mathbf{y_1 \rightarrow 7}\\\\\mathbf{x_2\rightarrow 0}\\\\\mathbf{x_1 \rightarrow -1}\)
\(\huge\textbf{Now, that we have that information out}\\\huge\textbf{the way, we can answer the question.}\)
\(\huge\textbf{Solving for the answer:}\)
\(\mathbf{\dfrac{4 - 7}{0 - (-1)} = slope}\)
\(\mathbf{\rightarrow \dfrac{4 - 7}{0 + 1} = slope}\)
\(\mathbf{\rightarrow \dfrac{-3}{1} = slope}\)
\(\mathbf{-3\div 1 = slope}\)
\(\mathbf{\rightarrow -3 = slope}\)
\(\huge\textbf{Therefore, your answer should be:}\)
\(\huge\boxed{\textsf{S}\frak{lope \rightarrow -3}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Check
A jeweler is thinking about using this solid silver bead in a necklace
he is designing. He only has 5.000 grams of silver. If pure silver's
mass is 10.5 grams per cubic centimeter, can he make this bead?
if so, how many grams of silver will the jeweler have left?
11 cm
10 cm
2 cm
Answer:
assalam o aalaikum
Step-by-step explanation:
I finished my homework this morning. __________________,
Write the equation that goes through the points (1,4) and (5,8)
Find so that the point (-1,2) is on the graph f(x)=ax^2+4. What does A equal?
We have to find the parameter a so that (-1,2) is part of the function f(x) = ax²+4.
To check if a point is part of a function, we can replace the values of x and y = f(x) with the coordinates of the point and then, if the equation stays true, then the point is part of the function.
So for (x,y) = (-1,2) to be part of the function y = f(x), this equation has to stands true:
\(\begin{gathered} y=f(x) \\ y=ax^2+4 \\ 2=a(-1)^2+4 \\ 2=a+4 \\ a=2-4 \\ a=-2 \end{gathered}\)Then, the function would have to be f(x) = -2x² + 4.
We can check with a graph as:
Answer: a = -2
16. Aiden started a savings account with $250. He makes a deposit after he receives his
paycheck each month. After one month, he has $586. The next month the balance is $922.
The balance after the third month is $1,258. How much money will he have in his account
after 8 months?
Answer:
Hi! In order to determine how much money Aiden will have in his account after 8 months, let's figure out how much he deposits each month.
He started with $250. After one month, he had $586; after two months, he had $922; after three months, he had $1,258. Each month, there is a gain of $336.
Therefore, after four months, Aiden will have $1,594. After five months, he will have $1,930. After six months, he will have $2,266. After seven months, he will have $2,602. Finally, after eight months, he will have $2,938.
Hope this helps!
Angles p and q are complementary. p is four times the size of q. what is the size of q.
Angles p and q are complementary, which means that their sum is equal to 90 degrees. Let's assume the size of angle q is x degrees. Since p is four times the size of q, we can write the equation p = 4q.
To find the size of q, we need to substitute the value of p in terms of q into the equation for the sum of the angles: p + q = 90.
Substituting 4q for p, we get:
4q + q = 90
Combining like terms:
5q = 90
To solve for q, we divide both sides of the equation by 5:
q = 90/5
Simplifying:
q = 18
Therefore, the size of angle q is 18 degrees.
when angles p and q are complementary and p is four times the size of q, the size of angle q is 18 degrees.
To know more about equation visit ;
https://brainly.com/question/33622350
#SPJ11
(−2 3/2)^2
KHAN ACADEMY (EXPONENTS WITH NEGATIVE FRACTIONAL BASE)
The values of the given expression having exponent with negative fractional base i.e. \(-2^{(3/2)^2}\\\) is evaluated out to be 16/9.
First, we need to simplify the expression inside the parentheses using the rule that says "exponents with negative fractional base can be rewritten as a fraction with positive numerator."
\(-2^{(3/2)^2}\) = (-2)² × (2/3)²
Now, we can simplify the expression further by solving the exponent of (-2)² and (2/3)²:
(-2)² × (2/3)² = 4 × 4/9 = 16/9
Therefore, the value of the given expression \(-2^{(3/2)^2}\\\) is 16/9.
Learn more about Exponents :
https://brainly.com/question/30441288
#SPJ4
The question is :
What is the value of the expression \(-2^{(3/2)^2}\) ?
Find the area of the figure and type your result in the empty box.
Answer:
the rectangle area:
4m × 2m = 8m²
the triangle area:
3m × 4m = 12m²
the area of the whole figure:
8m²+12m²=20m²
What is the value of S3 for infinity sigma n=1 5(1/3)^n-1
A. 20/9
B. 20/3
C. 65/9
D. 65/3
Answer:
C 65/9
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A researcher found that for the years 2011 to 2017, the equation y = -0. 25(x - 2)^2 + 16, models the average of couches sold in Germany, where x is the number of years since 2011 and y is the number of couches sold. During what year was the average of couches sold in Germany the greatest?
The vertex of the parabola is (2, 16). This means that the average of couches sold in Germany was the greatest in the year 2013, which is 2 years after 2011.
The equation y = -0.25(x - 2)² + 16 models the average of couches sold in Germany, where x is the number of years since 2011 and y is the number of couches sold. We can find the year when the average of couches sold in Germany was the greatest by finding the maximum value of the equation.
To find the maximum value, we can first rewrite the equation in vertex form: y = a(x - h)² + k, where (h, k) is the vertex of the parabola.
y = -0.25(x - 2)² + 16
y = -0.25(x² - 4x + 4) + 16
y = -0.25x² + x + 15
To find the vertex of the parabola, we can use the formula h = -b/2a and k = f(h), where f(h) is the value of y at the vertex.
h = -b/2a = -1/(2*(-0.25)) = 2
k = f(h) = -0.25(2)² + 2 + 15 = 16
Therefore, the vertex of the parabola is (2, 16). This means that the average of couches sold in Germany was the greatest in the year 2013, which is 2 years after 2011.
Learn more about parabola here: brainly.com/question/4074088
#SPJ4
Write 0.33 as a percentage.
Answer:
33%
Step-by-step explanation:
moving the decimal two places to the right
Bob went for a drive in his new car. He drove for 127.5 miles at a speed of 51 miles per hour. For how many hours did he drive?
Answer: 2.5 Hours. I hope I'm not sure but I think you just divide Miles Driven by MPH
distance between the point (-2, 4) and (10, -1)?
Answer:
13
Step-by-step explanation:
Use the distance formula to determine the distance between two points.
d=√((x_2-x_1)²+(y_2-y_1)²)
√((10)-(-2))^2+(-1)-(4)^2)
√(144+25)
√(169)
13
Answer:
13
Step-by-step explanation:
What is an equation of the line that passes through the points (2,−2) and (3,−4)?
1) Find the slope:
\(Slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}\)
\((x_{1},y_{1})=(2,-2)\)\((x_{2},y_{2})=(3,-4)\)
\(Slope = \frac{-4--2}{3-2} =\frac{-2}{1} =-2\)
2) Use the point-slope form to form the basic equation:
Point-slope form --> \((y-y_{0})=m(x-x_{0})\)
\((x_{0},y_{0}) = (2,-2)\) <-- could be any point on the line\(m = -2\)\((y + 2) = -2(x-2)\\y + 2 = -2x + 4\\y = -2x + 2\)
Hope that helps!
Name and write the vector in component form.
The vector in component form will be;
⇒ PN = ( - 7, 4)
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
The coordinates are;
P = (3, -3)
N = (- 4, 1)
Now,
The vector form of the components is written as;
PN = (- 4 - 3, 1 - (-3))
= (- 7, 1 + 3)
= ( - 7, 4)
Thus, The vector in component form will be;
⇒ PN = ( - 7, 4)
Learn more about the vector visit:
https://brainly.com/question/15519257
#SPJ1
If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent. True or False?
The statement "If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent" is true.
Let's understand why?
Explanation:
An argument with a tautology conclusion is an argument that arrives at a conclusion that is always true, regardless of the truth values of the premises. In other words, it is impossible for the premises to be true while the conclusion is false.
This means that any attempt to find a counterexample that disproves the conclusion will always fail, as there is no possible scenario in which the conclusion is false.
The counterexample set of an argument is the set of all possible scenarios in which the premises are true but the conclusion is false. If the conclusion is a tautology, then there is no possible scenario in which the conclusion is false, and thus the counterexample set is empty. An empty counterexample set is equivalent to an inconsistent counterexample set, as it means that there is no consistent scenario in which the conclusion is false.
Therefore, if the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent.
Hence, the statement is true.
Learn more about tautology here:
https://brainly.com/question/30195011
#SPJ11
Yope had $200 to buy food for the community picnic. She bought 11 packages of hot dogs and 8 packages of buns. Each package of hot dogs cost $14.05, and each package of buns cost $3.55. How much money did Yope have left after her purchases?
Answer:
17.05 dollars left
Step-by-step explanation:
11 x 14.05 = 154.55
8 x 3.55 = 28.4
154.55 + 28.4 = 182.95
200 - 182.95 = 17.05
hope this helps you ;)
pls give me brainlest :)
Answer: the answer is b 17.05
Step-by-step explanation: