Answer:
(6,8)
Step-by-step explanation:
The rule for 90 degree rotation is (x,y)=(-y,x)
So the answer is (6,8)
Three times a number decreased by 2 equals forty
Answer:
14
Step-by-step explanation:
40 plus 2 is 42
42 divided by 3 is 14
YOUR HELP WOULD BE MUCH APRECIATED!!!!!!!!!
[tex]y = 4^{-2}[/tex] = [tex]\frac{1}{16}[/tex]
[tex]y = 4^ {1}[/tex] = [tex]\\ 4[/tex]
[tex]y = 4^{3}[/tex] = [tex]\\ 64[/tex]
GUYS PLEASE HELP LIKE ASAP
What is the mean, median, mode, and range of the
following data set? Be sure to label which
measurement you are referring to.
7,9,6,9, 7, 4,7
Answer:
if im not wrong all answers are 7
Step-by-step explanation:
if you add all the numbers u get 49 and if u divide by 7 cuz u have seven numbers. you should get 7 thats you mean. then for median if u put them from least to greatest ur middle number would still be seven and then your mode would be seven since seven shows up the most.
Which number added to -14 will equal 9?
Answer:
23
Add positive 14 and 9 to get 23
14 + 9 = 23
-14 + 23 = 9
A sphere with a 2-inch radius is packed in a cube so that all sided touch. How much empty space is left in the cube?.
The volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.
What is a cube?It is defined as three-dimensional geometry that has six square faces and eight vertices.
We have a sphere with a 2-inch radius is packed in a cube so that all sided touch.
The volume of the sphere = (4πr³)/3 = (4π(2)³)/3 = 33.51 cubic inches
The side length of the cube = 4 inches
Because diameter of the sphere is 4 inches and all sided touch to the cube face.
Volume of the cube = 4³ = 64
The volume of the empty space = 64- 33.51 = 30.49 cubic inches
Thus, the volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.
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Using Euler's formula, how many
edges does a polyhedron with 4
faces and 4 vertices have?
[?] edges
The number of edges of a polyhedron with 4 faces and 4 vertices will be 6.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Using Euler's formula, the number of the edges does a polyhedron with 4 faces and 4 vertices have
We know the formula for the edges of the polyhedron will be
F + V = E + 2
The number of faces, vertices, and edges of a polyhedron are denoted by the letters F, V, and E.
Then we have
4 + 4 = E + 2
E = 8 - 2
E = 6
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P is a rectangle with length 80 cm and width x cm.
q is a rectangle with width y cm.
p
the length of q is 25% more than the length of p.
the area of q is 20% less than the area of p.
work out the ratio x:y
give your answer in its simplest form.
x cm
80 cm
:
q
y cm
The ratio of x and y will be equal to x:y = 25:16
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
We know that
The length of Q is 25% more than the length of p
length Q=1.25 x 80--------> 100 cm
The area of Q is 20% less than the area of p
Area Q=100 x y
Area P=80 x x
100 x y=0.80 x [80 x x]---------> 100 x y = 64 x x-------> x/y=100/64--> 25/16
Therefore the ratio of x and y will be equal to x:y = 25:16
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Answer:
25:16
Step-by-step explanation:
2. If A and B are square matrices of the same order, then (A + B) (A - B) is equal to (a) A²– B² (b) A– BA – AB - B² (c) A² - B² + BA – AB (d) A² - BA +B+ AB
Correct option is C) A² - B² + BA – AB
Step-by-step explanation:
(A+B)(A−B)=A(A−B)+B(A−B).........because matrix product is distributive.
=A² + BA - AB - B²
And as matrix product is not commutative, so AB¦=¦BA
Hence option C is correct.
I need help, please and thank you
Answer:
1 and 1/12
hope this helped
An object is launched at an initial velocity of 19.6 meters per second from an initial height of 24.5 meters. which equation can be used to find the number of seconds it takes the object to hit the ground? 0 = –4.9t2 19.6t 24.5 0 = –4.9t2 24.5t 19.6 19.6 = –4.9t2 24.5t 24.5 = –4.9t2 19.6t
Check the picture below.
[tex]~~~~~~\textit{initial velocity in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&19.6\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&24.5\\ \qquad \textit{of the object}\\ h=\textit{object's height}&h\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-4.9t^2+19.6t+24.5\hspace{5em}\stackrel{\textit{when it hits the ground}}{0=-4.9t^2+19.6t+24.5}[/tex]
Answer:
A
Step-by-step explanation:
Convert the fractions to decimals
Answer:
0.333333...
Step-by-step explanation:
2/6 = 1/3 = 0.33333...
You can divide on paper or on a calculator 2÷6 or 1÷3 to find this. If you are allowed to use a calculator and your calculator has F>D and D>F buttons they are for converting decimals and fractions back and forth. On paper, you are doing like a long division calculation. Put 2 inside the little dividing frame and put 6 on the outside. Or 1 inside and 3 outside. See image.
A. Determine the length of Seneca between Mesa and La Paz Dr.
Round your answers to the nearest foot. Show all your work and explain each step of your solution.
B. Determine whether the driver on Seneca Street was traveling within the speed limit.
Round your answers to the nearest foot. Show all your work and explain each step of your solution.
C. Determine the maximum length of the skid marks left on Seneca Street by a car that travels within the speed limit.
Round your answers to the nearest foot. Show all your work and explain each step of your solution.
SHOW YOUR WORK!
The length of Seneca between Mesa and La Paz Dr is = 144ft.
The driver of the Seneca Street was driving at 0.75 mi/hr therefore he was with the speed limits.
The maximum length of the skid marks left of Seneca Street by a car that travels within the speed limit is = 144ft
Calculation of car speed limitsTo determine the length of Seneca, the various lengths of Mesa and La Paz Dr is used;Length of Mesa (a)= 308ft
Length of La Paz Dr (c)= 340ft
Length of Seneca =b
Using Pythagorean theorem,
c²= a² + b²
340²= 308² + b²
make b the subject formula,
b² = 340² - 308²
b² = 115,600 - 94,864
b²= 20736
b = √20736
b = 144ft.
To determine the if the driver at Seneca Street was driving at speed limit;The speed limit within the Seneca road(s) = 50mi/h
The coefficient of friction (f) based on the surface material = 0.7 (asphalt).
The distance covered by the car = 144ft to miles = 144/5280 = 0.027.
Therefore the speed of car(s)
=√30fd
= √30 × 0.7× 0.027
= √0.567
=0.75 mi/hr
To determine the maximum length of the skid marks left of Seneca Street by a car that travels within the speed limit is the same with the length of Seneca. which is = 144ft.Learn more about speed here:
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8. Sabrina works in a restaurant. The dessert of the day is a slice of apple pie. Today, Sabrina served 33 slices of pie to her customers.
If there are 8 slices per pie, how many pies did Sabrina serve today? Write your answer as a mixed number.
with solutions
Please help thank you
Step-by-step explanation:
33÷8= 4 with one left over
4 and 1/8 is your mixed number!
i need help on this please
Answer:
C
You have to use radius not the diameter
{20, 25, 19, 18, 21, 24, 15, 25} What is the mean of the data set? Make sure to show ALL of your work
Answer:
20.875
Step-by-step explanation:
Mean is to add up the scores then divide by the number so 20 + 25 + 19 + 18 + 21 + 24 + 15 + 25 which is 167 then divide by 8 which is 20.875
A child grew 3 1/4 inches one year and 4 3/4 inches the next year. How many inches did the child grow over the two years?
Answer:
For the child 8 in.,
for the image(B) 9 1/4in
Step-by-step explanation:
Answer:
B. 9 1/4
Step-by-step explanation:
Covert 1/2 into 4ths.
3 2/4 + 5 3/4= 7 5/4 = 9 1/4
Hope this helps
A runner ran a 400 m race in 1 min 35 sec. Calculate his average speed in m/sec.
Step-by-step explanation:
distance = 400m
time taken = 1 min 35 sec = 95 sec
average speed = 400m / 95 sec = 4=2105 m/ sec
Answer:
4.21 m / sec.
Step-by-step explanation:
1 min 35 sec.
= 60 + 35
= 95 sec.
So average speed = 400/95
= 4.21 m / sec.
A rectangle has a perimeter of 60m. Find the
length of the rectangle if its breadth is
12m
Luke gets paid $13/hour. He got an
additional bonus of $50 for staying late one
day. He got paid $641.50 this month.
Write an equation, define your variable and
solve. How many hours did he work?
Answer:
13x+50=641.50, where x is the about of hours Luke worked. (x=45,5[h])
Round 418 to the nearest ten.
Answer:
The answer should be 420.
~
Step-by-step explanation:
What is the solution of log3x-2 4096=3
RIGHT ANSWER GETS BRAINLIST WORTH 30+ POINTS
Two number cubes are rolled.
What is the probability that the first lands on 6 and the second lands on an even number?
Select your answer, as a fraction in simplified form.
Question 5 options:
1/6
2/6
1/12
1/3
Answer:
Hi. Here is your answer:
1/6
Step-by-step explanation:
this is because 1/6 is equal to 5/30 of your answer.
here is proof.
which school do you go to?
Hope this helps
Brainliest please
Have a great day
Please fully rate!
The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]
Calculation of the probabilities:Since The probability of rolling a [tex]6[/tex] should be [tex]\frac{1}{6}[/tex] because there are [tex]6[/tex] total numbers.
Now The probability of rolling an odd number is [tex]\frac{1}{2}[/tex], since there are an equal number of odd and even numbers on a die.
Now the final probability should be
[tex]=\frac{1}{6}*\frac{1}{2}[/tex]
[tex]=\frac{1}{12}[/tex]
Therefore, The probability that the first lands on [tex]6[/tex] and the second lands on an odd number is [tex]\frac{1}{12}[/tex]
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PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:1,024
Step-by-step explanation:
We will use the formula hint it gives:
[tex]\displaystyle {1^{st}\;term} * \text{common ratio}\,^{(\text{desired term -1})}[/tex]
[tex]-1 * -4^{6-1}[/tex]
[tex]-1 * -4^{5}[/tex]
[tex]-1*-1,024[/tex]
[tex]1,024[/tex]
The 6th term in the sequence is 1,024.
Find the surface area of the triangular prism shown below.
The first rule is add 2 starting from 0. The second rule is add 6 starting from 2. What is the third ordered pair using the terms in each sequence?
(6, 20)
(2, 8)
(8, 26)
(4, 14)
Answer:
I think it would be 2,8
Step-by-step explanation:
hope it helps u
Tops corporation is organized into two divisions, manufacturing and marketing. both divisions are considered to be profit centers and the two division managers are evaluated in large part on divisional income. the company makes a single product. it is fabricated in manufacturing and then packaged and sold in marketing. there is no intermediate market for the product.
the monthly income statements, in thousands of dollars, for the two divisions follow. production and sales amounted to 10,000 units.
manufacturing marketing
revenues $ 3,000 $ 5,000
variable costs 2,400 3,700
contribution margin $ 600 $ 1,300
fixed costs 500 800
divisional profit $ 100 $ 500
Top company would accept the order as it increases the total profit of the corporation by $90000
How to illustrate the information?As a company as a whole, Tops corporation will accept orders if the contribution margin increases by accepting orders.
a. The contribution margin will be:
= sales price - variable cost of manufacturing department - variable cost of marketing department
= $400 - [$2400*1000/10000units] - $70
= $400 - $240 - $70
= $90
Therefore, the increase in profit will be:
= $90 × 1000
= $90000
Top company would accept the order.
b. The marketing department will accept the order as it increases its profit by $400000-$370000 = 30000.
c. The manufacturing division manager would accept the order as it increases its profit by $60000. This was gotten as:
= (300 × 1000) - (240 × 1000)
= 300000 - 240000
= 60000
The other parts of the question include:
The company has just received an offer to buy 1,000 units of the product this month at a price of $400 per unit. The Marketing Division manager suggests that for the special order only, the transfer price be set at 50 percent of the sales price, or $200 per unit. Instead, assume the transfer price is unchanged from the current transfer price.
Required:
a. Does Tops Corporation want to accept this order?
b. Will the Marketing Division manager be willing to accept this order?
c. Will the Manufacturing Division manager be willing to accept this order?
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Attendance at a state park throughout the year is found to be periodic and can be modeled by a
sine function. The attendance ranges from a low of approximately 1,000,000 visitors in September
to a high of approximately 2,000,000 visitors in March. If t is the month number, where t = 1 is January, and N(t) is the attendance, in millions, of visitors, which of the functions can be used to
model this behavior?
N(t) = 1.5 sin(t) + 0.5
N(t) = 0.5 sin(t) +1.5
N(t) = 2 sin ( ₹t) – 1
N(t) 0.5 sin(2t) + 1.5
The sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
The attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
We know the sine function is:
y = Asin(w + c) + s
Here:
A is amplitude
w is angular velocity,
s is vertical Displacement,
c = phase angle
A = (2000000 - 1000000) /2 = 500,000
w = 2π/T
T = 12
w = 2π/12 = π/6
s = (1000000 +2000000) /2 = 3,000,000/2 = 1,500,000
500,000sin(π/6 + 0) + 1500000
500000sin(π/6)+1500000
or
0.5sin(πt/6) + 1.5
Thus, the sin function can be model as N(t) = 0.5sin(πt/6) + 1.5 if the attendance ranges from a low of approximately 1,000,000 visitors in September to a high of approximately 2,000,000 visitors in March.
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THIS IS EASY BUT PLEASE HELP ME IM BIT SLOW
Answer:
A: Isosceles (two sides the same)
B: Equilateral (all sides the same)
C: Scalene (all sides different)
Step-by-step explanation:
For this problem, a non-integer answer should be entered as a fraction in simplest form using / as the fraction bar. malik randomly picked two numbers from 1 to 9 (including 1 and 9). the same number could be picked more than once. the first of the two numbers he picks is odd and less than 5. what is the probability that the sum of the two numbers malik picks is less than 5, given that the first number is odd and less than 5?
Based on the numbers that Malik can pick and the condition of the sum being less than 5, the probability of this happening is 2/9.
What is the probability that Malik's number are less than 5 when added?The first number that Malik picked is an odd number less than 5 which makes it with 1 or 3.
In order for the two number to be less than 5 when added, the numbers to be picked have to be:
1 and 21 and 33 and 11 and 1These are 4 possibilities out of a total of 18 possibilities so the probability is:
= 4 / 18
= 2 / 9
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Answer:
See image
Step-by-step explanation:
Plato
11. The exponential function given by H(t)=80,030.83(1.0481)t, where t is the number of years after 2010, can be used to project the number of centenarians in a certain country. Use this function to project the centenarian population in this country in 2013 and in 2038.
A function assigns the value of each element of one set to the other specific element of another set. The number of centenarians in the country in 2013 is 9.4175×10⁴⁵.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The exponential function that can be used to project the number of centenarians in a certain country is [tex]H(t) = 80,030.83(1.0481)^t[/tex].
Now, the number of centenarians in the country in 2013 is,
[tex]H(t) = 80,030.83(1.0481)^t\\\\H(2013) = 80,030.83(1.0481)^{2013}\\\\H(2013) = 9.4175 \times 10^{45}[/tex]
Also, the number of centenarians in the country in 2038 is,
[tex]H(t) = 80,030.83(1.0481)^t\\\\H(2038) = 80,030.83(1.0481)^{2038}\\\\H(2038) = 3.048 \times 10^{46}[/tex]
Hence, the number of centenarians in the country in 2013 is 9.4175×10⁴⁵.
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