Answer:
Step-by-step explanation:
The expression f(x) means that the function y is in terms of x; that is to say that x is the independent variable that will change, as it changes, y changes along with it. Replacing x with what we want to evaluate the function at is how we solve this. If we replace x with a 1, our function is:
[tex]f(1)=2^1+8[/tex]
2 to the 1st power is 2, and add 8 to that and you get that
f(1) = 10
Answer:
its 16
Step-by-step explanation:
A water cooler (shaped like a cylinder) can hold approximately 6,104 in^3 of water. If a cylindrical cup measures 3 inches in diameter and will be filled to a height of 3 inches, how many cups of water will you be able to fill from one water cooler? Use 3.14 for π.
Answer:
Step-by-step explanation:
35
Step-by-step explanation:
They told you that the mean is 7.
You know there are 5 numbers
Mean = (number 1 + number 2 + number 3 + number 4 + number 5) / 5 = 7
Sum = 7 x 5
= 35.
To fill one water cooler, we need 288 cups of water.
What is a cylinder?A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.
Given that a cylindrical water cooler can hold approximately 6104 in cubic of water.
And cylindrical cup with the height of 3 inches and diameter of 3 inches.
So let r be the radius of cup is 3/2 = 1.5 inch.
And we know that the volume of cylinder is given below by the formula;
volume of cylinder = π r² h
So now the volume of cylindrical cup = (3.14) (1.5)² (3) = 21.195
That means one cup can only fill 21.195 cubic of water to the water cooler.
To find the how many cups can fill the water cooler,
we will divide the volume of water cooler by volume of cup.
That means, 6104 / 21.195 = 287.99
Approximating the value,
6104 / 21.195 = 288 cups of water.
Therefore the 288 cups of water can fill the water cooler.
To learn more about the cylinder;
https://brainly.com/question/16134180
#SPJ2
Find the surface area of the prism.
Answer: ph+2b
Step-by-step explanation:
Answer:
920 ft²
Step-by-step explanation:
2 triangles + 3 rectangles
2(½×15×8) + 20(17+8+15)
120 + 800
920
Determine the intercepts of the line.
y=5x-13y=5x−13
Answer:
Step-by-step explanation:
hello : y=5x-13
x-intercept : when y=0 means : 5x-13=0 5x=13 so: x=13/5
y-intercept : when x=0 means : 5(0)-13=y y= - 13
Answer:
Y = (0, -13)
X = (2.6,0)
Step-by-step explanation:
5 * 0 -13 = yy = 0 - 13y = -13 (0, -13)X = 0 = 5x - 1313 = 5x13/5 = 13/5 = 2.6X(2.6,0)Will Mark brainiest!!!!
Answer:
1. 1.55π,
2. 16π,
3. 2.45π,
4. ( About ) 5.56π,
5. 13.7π
6. ( About ) 1.78π
Step-by-step explanation:
1. Let us keep the answer in terms of π, for the simplicity;
Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
62 / 360 = Area of sector / 9π,
62 * ( 9π ) = 360 * Area of sector,
558π = 360 * Area of sector,
Area of sector; 1.55π
2. Area of Circle ⇒ π * r^2 = π * ( 8 )^2 = 64π,
Area of sector ⇒ 1 / 4 * 64π = 16π,
Area of sector; 16π
3. Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
98 / 360 = Area of sector / 9π,
98 * ( 9π ) = 360 * Area of sector,
882π = 360 * Area of sector,
Area of sector; 2.45π
4. Area of Circle ⇒ π * r^2 = π * ( 4 )^2 = 16π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
125 / 360 = Area of sector / 16π,
125 * ( 16π ) = 360 * Area of sector,
2000π = 360 * Area of sector,
Area of sector; ( About ) 5.56π
5. Area of Circle ⇒ π * r^2 = π * ( 6 )^2 = 36π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
137 / 360 = Area of sector / 36π,
137 * ( 36π ) = 360 * Area of sector,
4932π = 360 * Area of sector,
Area of sector; 13.7π
6. Area of Circle ⇒ π * r^2 = π * ( 2 )^2 = 4π,
Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,
160 / 360 = Area of sector / 4π,
160 * ( 4π ) = 360 * Area of sector,
640π = 360 * Area of sector,
Area of sector; ( About ) 1.78π
Q1: Tyson is taking his basketball team to watch a college basketball game. He bought 8 tickets for $168 $ 168 . One parent bought her son's ticket separately and paid $24 $ 24 . Who had the better deal?
Answer:
Tyson had the better deal
Step-by-step explanation:
We simply want to know who paid less for the ticket.
Tyson bought 8 tickets for the members of his basketball team and it cost it $168 in total.
The cost of each ticket is therefore:
168 / 8 = $21
He paid $21 for each ticket.
The parent bought her son's ticket for $24.
Therefore, Tyson had the better deal because he paid $3 less than the woman.
It took Beth 16 minutes to read 8 pages of a book. If she reads at a constant rate, how long did it take Beth to read 5 pages?
In a tiny house, an empty hot water heater requires 40 gallons of water. It takes 18 minutes to fill the hot water heater. Assuming a constant rate of flow, find the rate at which water flows into the tank. Express your answer to the nearest tenth of a gallon per minute. *
Answer:
A constant rate of flow, that would be 40/18 = 2.2 gallon per minute
Hope this helps!
:)
evaulate 3z when z is =9
[tex]\text{Plug in and solve:}\\\\3z\\\\3(9)\\\\\boxed{27}[/tex]
Answer:
27
Step-by-step explanation:
3z z=9
3 times 9
27
two integers that multiply to 18 and add to -11
Answer:
-9 and 2
Step-by-step explanation:
help plssssssssssssssssss
Answer:
80
Step-by-step explanation:
BECAUSE ON THE BOX PLOT ON HOW IT IS LOOK AT THAT LAST LINE AND LOOK HOW FAR IT GOES THATS HOW MUCH IT WOULD BE
BRAINLEST PLEASEWhich of the following statements is true for the logistic differential equation?
The graph has a horizontal asymptote at y = 18.
y is growing the fastest when y = 9.
The limiting value for y is 18.
All of the above.
Answer:
All of the above
Step-by-step explanation:
dy/dt = y/3 (18 − y)
0 = y/3 (18 − y)
y = 0 or 18
d²y/dt² = y/3 (-dy/dt) + (1/3 dy/dt) (18 − y)
d²y/dt² = dy/dt (-y/3 + 6 − y/3)
d²y/dt² = dy/dt (6 − 2y/3)
d²y/dt² = y/3 (18 − y) (6 − 2y/3)
0 = y/3 (18 − y) (6 − 2y/3)
y = 0, 9, 18
y" = 0 at y = 9 and changes signs from + to -, so y' is a maximum at y = 9.
y' and y" = 0 at y = 0 and y = 18, so those are both asymptotes / limiting values.
graph the circle x^2+y^2+2x+4y-44=0
plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.
To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, we can follow these steps:
1. Complete the square for the x-terms:
Rearrange the equation to group the x-terms together:
x^2 + 2x + y^2 + 4y = 44
To complete the square for the x-terms, add (2/2)^2 = 1 to both sides of the equation:
x^2 + 2x + 1 + y^2 + 4y = 44 + 1
Simplify:
(x + 1)^2 + y^2 + 4y = 45
2. Complete the square for the y-terms:
To complete the square for the y-terms, add (4/2)^2 = 4 to both sides of the equation:
(x + 1)^2 + y^2 + 4y + 4 = 45 + 4
Simplify:
(x + 1)^2 + (y + 2)^2 = 49
3. Identify the center and radius:
The equation is now in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2
Comparing this with our equation, we can see that the center of the circle is (-1, -2) and the radius is √49 = 7.
4. Plot the graph:
The center of the circle is (-1, -2), which represents the point where the circle is centered. From this point, we can draw a circle with a radius of 7 units in all directions.
By following these steps, we can plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.
For more questions on circle .
https://brainly.com/question/28162977
#SPJ8
Note the full question may be:
To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, first rewrite it in standard form by completing the square for both x and y terms. Then identify the center and radius of the circle and plot the corresponding points to draw the graph.
Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this investment?
Answer: 6%
Step-by-step explanation:
Principal= $1875
Time= 10 years
Interest= $1125
Rate = Unknown
Recall that,
Interest= (Principal×Rate×Time)/100
I = PRT/100
100I = PRT
R= (100×I)/PT
Rate = (100 × 1125)/(1875 × 10)
Rate = 112500/18750
Rate= 6%
The rate is 6%
A rectangular prism has a volume of 360 cubic feet. One dimension is 10
feet. Which could be the other two dimensions of the prism? Mark all that
apply.
6 feet, 4 feet
9 feet, 4 feet
3 feet, 12 feet
10 feet, 20 feet
6 feet, 6 feet
(thanks)
Answer:
The answers are:
9 feet and 4 feet
3 feet and 12 feet
6 feet and 6 feet
Annette plans to visit an amusement park where she must pay for admission and
purchase tickets to go on the rides. Annette wants to find the total cost for a day at
the amusement park. She wrote the equation c = 1.50x + 12 to predict c, the total cost
for a day at the amusement park. What could the number 12 represent in Annette’s
equation?
Answer:
...
Step-by-step explanation:
Answer: the cost of admission
Step-by-step
Solve using elimination.
5x - 4y = -10
5x - 5y = -5
Answer:
(x,y) = (-6,-5)
Step-by-step explanation:
If you need the explanation let me know.
Answer:
x = -6
y = -5
Step-by-step explanation:
5x - 4y = -10
5x - 5y = -5
__________--
y = -5
5x - 4y = -10
5x - 4(-5) = -10
5x + 20 = -10
5x = -10 - 20
5x = -30
x = -30/5
x = -6
Tim answered all the questions on his math test but got
10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points.
Pls I need the equations ASAP
Answer:
29 questions total
Step-by-step explanation:
Since his score was 76 points and he received 4 points per correct answer, you can find the number of correct answers by dividing 76 by 4
76/4 = 19
The you add to that the number of questions he got wrong:
19 + 10 = 29 total questions.
Solve the equation.
6+q=1
Answer:
-5
Step-by-step explanation:
6 - 5 = 1
so 6 + -5 is also equal to 1
Answer:
q = -5
Step-by-step explanation:
Step 1 : Simplify: 6/q
Step 2 :
Rewriting the whole as an Equivalent Fraction
Equation at the end of step 2 :
(6 - q)
——————— - 2 = 0
q
Step 3 :
Rewriting the whole as an Equivalent Fraction
Step 4 :
Pulling out like terms
Answer: q = -5
Hope this helps.
I think of a number and multiply it by 4 and subtract 3.The result is 17
Answer:
the number is 5
Step-by-step explanation:
in an equation it will be 4x-3=17
4x=17+3
4x=20
x=20/4
x=5
hope this helps plzz mark me brainliest
Step-by-step explanation:
if you do the equation backwards you get your answer. add 3 to 17 . you get 20. then divide 20 by 4. your number would be 5.
You are working for a company that creates tubes that measure 10 cm long and have a diameter of 6 cm. The tubes need to be cut just right. The company fired all of its math people so they do not know how to calculate the size of the tube needed. Please calculate the surface area needed for the tube. Use 3.14 for pi. *
Answer:
[tex] A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2[/tex]
And replacing the value of [tex]\pi =3.14[/tex] we got:
[tex] A = 78*3.14 cm^2= 244.92 cm^2[/tex]
Step-by-step explanation:
For this case we have the long who represent the height 10 cm and the diameter is 6cm. So then the radius is given by:
[tex] r = \frac{D}{2}= \frac{6cm}{2}= 3cm[/tex]
And the surface area for a cylinder is given by this formula:
[tex]A= 2\pi r^2 +2 \pi rh[/tex]
And replacing the info given we got:
[tex] A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2[/tex]
And replacing the value of [tex]\pi =3.14[/tex] we got:
[tex] A = 78*3.14 cm^2= 244.92 cm^2[/tex]
Raheem found a worm that was 6 centimeters long what is the length of the worm in in millimeters
Answer:
60 millimeters
Step-by-step explanation:
1 centimeter is 10 milimeters. So, 6 centimeters is 60 millimeters.
*please mark brainliest*
Determinar un numero, que disminuido en sus 1/4 partes equivale a su duplo aumentado en 30. Una cuerda de 180m se corta en tres trozos: trozo A B Y C. Calcular cuantos miden los trozos sabiendo que el trozo B y el trozo C miden el doble y el triple que el trozo A, respectivamente.
Answer:
x = 240
A = 30 m, B = 60 m, C= 90 m
Step-by-step explanation:
a) Nosotros debemos determinar un numero;
para cual [tex]\dfrac{1}{4}x = 60[/tex]
[tex]0.25 x = 60[/tex]
Divide ambos lados entre 0.25; tenemos :
[tex]\dfrac{0.25 x}{0.25}= \dfrac{60}{0.25}[/tex]
x = 240
b) A 180 m se corta en tres piezas A, B y C
Entonces;
Si la pieza B y la pieza C miden el doble y el triple de esa pieza A, respectivamente. Entonces; tenemos
x + 2x + 3x = 180
6x = 180
Divide ambos lados entre 6; tenemos:
[tex]\dfrac{6x}{6} = \dfrac{180}{6}[/tex]
x = 30 m
Si A = x = 30 m
B = 2x = 2×30 m = 60 m
C = 3x = 3×30 m = 90 m
Así; A = 30 m, B = 60 m, C= 90 m
Find the equation of the line which is perpendicular 10y +5x =3 and passes through (-7,-1)
P.s. working.
Answer:
y = 2x +13
Step-by-step explanation:
when 2 lines are perpendicular, the product of the two gradients is -1
i.e. m x m1 = -1
so from 10y + 5x = 3, the gradient m is -0.5
m1 = -1 / -0.5 = 2
using m1 = 2 and pt(-7,-1),
the eqn is y = (m1)x +c
-1 = 2(-7) + c
c= 13
thus y = 2x +13
PLZ HELP WILL MARK BRAINLIEST!
You put $200 in a savings account. The account earns 9% simple interest per year.
a. What is the interest earned after 5 years?
The interest earned is $___
after 5 years.
b. What is the balance after 5 years?
The balance is $____
after 5 years.
Answer:
Interest earned is $90
balance is $290
Step-by-step explanation:
What is the value of 9x - 4y if x = 3 and y = 2
Answer:
19
Step-by-step explanation:
plug both values in
Answer:
19
Step-by-step explanation:
Since it gives you the values of x and y, all you need to do is plug in the numbers, like so:
9x - 4y
9(3) - 4(2)
27 - 8
19
3x+2y=12+y 4y-7x=10 solve
Answer:
x = 2 , y = 6
Step-by-step explanation:
Solve the following system:
{3 x + 2 y = y + 12 | (equation 1)
4 y - 7 x = 10 | (equation 2)
Express the system in standard form:
{3 x + y = 12 | (equation 1)
-(7 x) + 4 y = 10 | (equation 2)
Swap equation 1 with equation 2:
{-(7 x) + 4 y = 10 | (equation 1)
3 x + y = 12 | (equation 2)
Add 3/7 × (equation 1) to equation 2:
{-(7 x) + 4 y = 10 | (equation 1)
0 x+(19 y)/7 = 114/7 | (equation 2)
Multiply equation 2 by 7/19:
{-(7 x) + 4 y = 10 | (equation 1)
0 x+y = 6 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{-(7 x)+0 y = -14 | (equation 1)
0 x+y = 6 | (equation 2)
Divide equation 1 by -7:
{x+0 y = 2 | (equation 1)
0 x+y = 6 | (equation 2)
Collect results:
Answer:{x = 2 , y = 6
The initial value of your new car was $20,000.after one year, the value of the car is $18,000. What will the approximate value of the car be in 7 years?
Answer:
$4000
Step-by-step explanation:
the cars value is going sown by 2000 dollars each year so in seven years the car will be worth 4000 dollars
Note: I'm not completely positive on this.
Answer:
The value of car B after 1.5 years is approximately $
19,600
.
The value of car B is approximately $13,000 after
4
years.
The value of car B will be more than $18,000 if it were sold within
2
year(s).
The value of car B is $12,000 between years 4 and
5
.
Step-by-step explanation:
Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy
Answer: Sandy.
Step-by-step explanation:
Elaine has 16 tablespoons of lemonade, and uses 2 per glass.
then she can make 16/2 = 8 glasses of lemonade.
Sandy has 18 tablespoons of lemonade, and she uses 3 per glass,
then she can make 18/3 = 6 glasses of lemonade.
Then Sandy can make less glasses of lemonade than Elaine, this means that Sandy runs out of mixt first.
The ratio of the angles in a triangle is 2:3:4. What is the measure of the largest angle?
30°
60°
80°
20°
Answer:
80
Step-by-step explanation:
you can take the ratio 2:3:4 as
2x + 3x + 4x = 180
9x = 180
x= 20
4(20) = 80
Answer:
D) 20
Step-by-step explanation:
Set up an equation: 2x+3x+4x=180
9x=180
180/9=20
Answer: D) 20degrees
In the image below, a = 8 cm and b = 9 cm.
What is the surface area of the square pyramid?
144 square cm
196 square cm
225 square cm
369 square cm
Answer:
225
Step-by-step explanation:
first the square
9*9 = 81
then the triangle
a is 8
triangles are l*w/2 so 8*4.5/2
8*4.5 = 36/2 = 18
There are 8 of these triangles
18*8 is 144
144+81 = 225
The surface area of the square pyramid is approximately `196` square cm.
What is Surface Area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
We can use the Pythagorean theorem to find the slant height of the pyramid:
[tex]$$l = \sqrt{a^2 + \left(\frac{b}{2}\right)^2} \\= \sqrt{8^2 + \left(\frac{9}{2}\right)^2} \\= \sqrt{64+\frac{81}{4}} \\= \frac{\sqrt{433}}{2}$$[/tex]
So, the lateral area of the pyramid is the area of the four triangles with base `b` and height `l`, which is:
[tex]$$A_{lat} = 4\cdot\frac{1}{2}b\cdot l \\= 4\cdot\frac{1}{2}\cdot 9 \cdot \frac{\sqrt{433}}{2} \\= 27\sqrt{433}$$[/tex]
So, The area of the base of the pyramid is a² then
[tex]$$A = A_{lat} + a^2$$[/tex]
= = 27√433 + 8²
= 27√{433} + 64
= 196.4 cm²
Therefore, the surface area of the square pyramid is approximately `196` square cm.
Learn more about Surface Area here:
https://brainly.com/question/29298005
#SPJ3
