Answer:
f(2) = 22
Step-by-step explanation:
To find f(#), plug the number into each x of the equation.
f(x) = 10x + 2
f(2) = 10(2) + 2
Simplify the parentheses by multiplying.
f(2) = 20 + 2
Add.
f(2) = 22
Hope this helps!
Two apps launched on the same day. At the end of the first week, the number of visitors to each app was 25. For the first 6 weeks, the number of visitors to each app increased according to the following words. App A: The number of visitors doubles each week. App B: The number of visitors increased by 150 each week.
Answer:
i don't know the answer today I say tomorrow
Sale
50% OFF!
What is the sale price of a gold necklace originally priced at $40?
Answer:
$20
Step-by-step explanation:
50 percent means half off so it would be $20
A cone fits inside a square pyramid as shown. For
every cross section, the ratio of the area of the circle to
Since the area of the circle is the area of the
square, the volume of the cone equals
the area of the square is
or 7
402
o the volume of the pyramid or - Alenchor
arh.
Cross section
r
o the volume of the pyramid or
+(1200)
2n.
o the volume of the pyramid or z { nºm) or
7
2r
2r
22h.
0 Į the volume of the pyramid or = { 29°m) oraz
arh.
m no
The volume of the cone is [tex]\frac{\pi}{4}[/tex] the volume of the pyramid
The ratio of the area is given as:
[tex]R= \frac{\pi r^2}{4r^2}[/tex]
or
[tex]R= \frac{\pi}{4}[/tex]
The volume of a cone is:
[tex]V_1 = \frac 13 \pi r^2 h[/tex]
For a pyramid, the volume is:
[tex]V_2 = \frac 43 r^2h[/tex]
Rewrite as:
[tex]V_2 = 4 * \frac 13 r^2h[/tex]
Divide by 4
[tex]\frac{V_2}{4} = \frac 13 r^2h[/tex]
Substitute [tex]\frac{V_2}{4} = \frac 13 r^2h[/tex] in [tex]V_1 = \frac 13 \pi r^2 h[/tex]
So, we have:
[tex]V_1 = \frac{V_2}{4} * \pi[/tex]
This gives
[tex]V_1 = \frac{\pi}{4} V_2[/tex]
Hence, the volume of the cone is [tex]\frac{\pi}{4}[/tex] the volume of the pyramid
Read more about volumes at:
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Which expressions are equivalent to - 6z +(-4.5) + 2.5z + 5y -3.5?
Select all that apply.
A. - 8 + 5y +3.52
B. - 3.5z + 5y - 8
C. - 8 + 5y +(-3.5z)
OD. 5y - 8 -3.52
E. 5y + (-3.52) - 4.5
Pls help
Step-by-step explanation:
babababababababbababavavabababababa
in the sequence 34, 40, 37, 36, 42, 39, 38’…, what numbers should come next?
a) 44, 42 , 41
b) 43, 40, 39
c) 45, 42, 41
d) 44, 41, 40
Answer:
d) 44, 41, 40
Step-by-step explanation:
34 + 6 = 40
40 - 3 = 37
37 - 1 = 36
36 + 6 = 42
42 - 3 = 39
39 - 1 = 38
pattern: +6, -3, -1
the next pattern from -1 is +6 so we take 38 and add 6:
38 + 6 = 44
then take 44 and subtract 3 from it:
44 - 3 = 41
lastly, take 41 and subtract 1 from it:
41 - 1 = 40
Answer:
44,41,40
Step-by-step explanation:
34
34 + 6 = 40
40 - 3 = 37
37 - 1 = 36
36 + 6 = 42
42 - 3 = 39
39 -1 = 38
So, your next set of numbers are
38 + 6 = 44
44 - 3 = 41
41 - 1 = 40
Can someone pls help
Answer:
7
Step-by-step explanation:
I'm marking brainiest if you help me :)
Answer:
the possible line of best fit equation is;
y = 10x + 24
Step-by-step explanation:
Here, we want to get the approximate line of best fit
Mathematically, we have the general line of best fit as
y = mx + b
where m is the slope and b is the y-intercept
By joining the given lines, we can see that the y-intercept values fall a little below 30
This means that the possible y-intercept value is 24
Now, to get the slope value, we select any two points and use the slope equation
We can have (3,50) and (6,80)
Using the slope equation;
m = (y2-y1)/(x2-x1) = (80-50)/(6-3) = 30/3 = 10
The equation is thus;
y = 10x + 24
b
С
c
5 in.
35°
B
O c = (5)cos(359)
Oc=
cos(350)
O c = (5)sin(35)
Oc=_5
[
sin(35)
Answer:
[tex]c=\frac{5}{\cos35^{\circ}}[/tex]
Step-by-step explanation:
Using basic trig for right tringles ([tex]\cos\theta =\frac{\text{adj}}{\text{hyp}}[/tex]), we have the following equation:
[tex]\cos 35^{\circ}=\frac{5}{c},\\c=\boxed{\frac{5}{\cos 35^{\circ}}}[/tex].
The value of c in the right triangle ABC is 5 / cos 35°
Right triangle:
Right triangle has one of its sides as 90 degrees. The sides of a right triangle can be found using trigonometric ratios as follows;
cos 35 = adjacent / hypotenuse
where
adjacent side = 5 inches
c = hypotenuse
Therefore,
cos 35° = 5 / c
cross multiply
c cos 35° = 5
divide both sides by cos 35°
c = 5 / cos 35°
learn more on right triangle here: https://brainly.com/question/4364353
Write the standard equation of a circle with center (-3, 4) (-3, 4) and radius 1.
Answer:
The answer is (x+3)^2+(y-4)^2=1
Step-by-step explanation:
The equation is (x-a)^2+(y-b)^2=r^2
In this equation, a and b are the coordinates of a center, and r is radius
Substituting given values, we obtain our answer.
how can we write x+x+5+5 in 2 different ways
Answer:
x + 5 + x + 5
5 + 5 + x + x
Step-by-step explanation:
Answer:
:
Step-by-step explanation:
2x+10
2x+5+5
............
help me plzz.im dying.
Answer:
B
Step-by-step explanation:
is this answer
can someone please answer i will mark brainliest
Answer:
a. 2007
b. 120,000
c. the amount of money raised each year is decreasing
Step-by-step explanation:
sorry if im wrong just pay very close attention to the graph
can you explain for me question number 4,5,6,7,8 thanks i will give you a brainliest
Answer:
17/24 pizza
7/8 of questions
7/10 of the newspapers
dylan 1 1/4 miles sonia 1 1/10 miles
answer b
Step-by-step explanation:
Based on the article, which of the following is MOST important to all economic systems?
A. Economic freedom
B. Factors of production
C. Equal distribution of wealth
D. Government-owned services
There are 78 red counters and 52 yellow counters in a bag.
Write the ratio of the number ofred counters to the number of yellow counters.
Give your ratio in its simplest form.
Answer:
It's
3:2
r to y
Which statement is NOT true about the algebraic representation (x,y) → (1/3x,1/3y)?
PLEASE HELP
BRAINLIEST
20 points
Help Me Plz 24=6a Plz
Answer:
a = 4
Step-by-step explanation:
just divide 24 by 6
a = 4
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Answer:
If your solving for A, A=4
Step-by-step explanation:
Divide 6 on both sides
A family has two cars. The first car gets 25 miles per gallon and the second car gets 15 miles per gallon. In a week the two cars went 725 miles and consumed 35 gallons of gas. How much gas did each car use?
Answer:20 and 15 gallons
Step-by-step explanation:
Given
The first car gets 25 miles per gallon
The second car gets 15 miles per gallon
Two cars consumed 35 Gallons
they went for 725 miles in total
suppose the first car consumes x gallons
so, the second car consumes 35-x gallons of gas
We can write
[tex]\Rightarrow 25x+15(35-x)=725\\\Rightarrow 25x-10x=725-525\\\Rightarrow 10x=200\\\Rightarrow x=20[/tex]
First consumed 20 gallons and second consumed 15 gallons
The width of a box in the shape of a rectangular prism is 4 inches more than the height h . The length is the difference of 9 inches and the height. A. Write a polynomial that represents the volume of the box in terms of its height (in inches). B. The volume of the box is 180 cubic inches.
Answer:
[tex](a)[/tex] [tex]V = -H^3+ 5H^2 + 36H[/tex]
[tex](b)[/tex] [tex]Length = 5in; Width = 9in; Height = 5in[/tex] or [tex]Length = 3in; Width = 10in; Height = 6in[/tex]
Step-by-step explanation:
Let:
[tex]W=Width; L = Length; H = Height[/tex]
Given
[tex]W = 4 + H[/tex]
[tex]L = 9 - H[/tex]
Solving (a): The polynomial for the volume in terms of height
Volume (V) is calculated using:
[tex]V = L * W * H[/tex]
[tex]V = (9 - H) * (4 + H) * H[/tex]
Expand
[tex]V = (9 - H) * (4H + H^2)[/tex]
Open brackets
[tex]V = 36H + 9H^2 - 4H^2 - H^3[/tex]
[tex]V = 36H + 5H^2 - H^3[/tex]
Rewrite as:
[tex]V = -H^3+ 5H^2 + 36H[/tex]
Solving (b): The dimensions when Volume = 180
Substitute 180 for V in: [tex]V = -H^3+ 5H^2 + 36H[/tex]
[tex]180 = -H^3+ 5H^2 + 36H[/tex]
Rewrite as:
[tex]H^3 - 5H^2 - 36H + 180 = 0[/tex]
Factorize:
[tex]H^2(H - 5) - 36(H - 5) = 0[/tex]
[tex](H^2 - 36)(H - 5) = 0[/tex]
Express [tex]H^2 - 36[/tex] as difference of two squares
[tex](H - 6)(H + 6)(H - 5) =0[/tex]
This gives:
[tex]H - 6 =0==> H = 6[/tex]
[tex]H + 6 =0==> H = -6[/tex]
[tex]H - 5 =0==> H = 5[/tex]
Since the height can not be negative, then H = 5 or H = 6
Recall that:
[tex]W = 4 + H[/tex]
[tex]L = 9 - H[/tex]
When H = 5
[tex]W = 4 + 5 = 9[/tex]
[tex]L = 9 - 5 = 4[/tex]
When H = 6
[tex]W = 4 + 6 = 10[/tex]
[tex]L = 9 - 6 = 3[/tex]
Hence, the dimensions of the box are:
[tex]Length = 5in; Width = 9in; Height = 5in[/tex]
or
[tex]Length = 3in; Width = 10in; Height = 6in[/tex]
The volume of the box is given by -h³ + 5h² + 36h
Volume
Volume is the amount of space occupied by a three dimensional object. The volume (V) of a box is given by:
V = length * width * height
Let h represent the the height, hence width = h + 4, length = (9 - h)
V = h(h + 4)(9 - h) = h(5h -h² + 36) = -h³ + 5h² + 36h
For a volume of 180 in³:
180 = -h³ + 5h² + 36h
h = 5 or 6.
The volume of the box is given by -h³ + 5h² + 36h
Find out more on Volume at: https://brainly.com/question/1972490
A large box will hold 1,000 cubic inches. A small box measures 5 inches by 5 inches by 5 inches. How many smaller boxes will the large box hold?
Answer:
8
Step-by-step explanation:
Given data
Volume of large box= 1000cm^3
Dimension of small box
L=5cm
W=5cm
H=5cm
Volume of small box= 5^3
V=125cm^3
Hence the number of small box that can fill the large box is
=1000/125
=8
help
Write the equation of the line that passes through the points (-4,3) and (-9,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y = 3
Step-by-step explanation:
Since they both go through 3 for the y-coordinate that means the equation is just y = 3.
Dan is planning an event for which the total cost cannot exceed $400. Dan plans to spend $180 on food and to hire a clown at the rate of $35 per hour. Which inequality correctly shows Dan's spending in terms of h, the number of hours that the clown can be at the party? *
Answer:
using above inequality equation, we can find the total hours in which the clown can be at the party
The correct inequality for the Dan's spending in terms of h, the number of hours that the clown can be at the party will be;
⇒ $180 + $35h < $400
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
Dan is planning an event for which the total cost cannot exceed $400.
And, Dan plans to spend $180 on food and to hire a clown at the rate of $35 per hour.
Now,
Let number of hours = h
So, We can formulate;
Total spend money = $180 + $35h
Hence, The correct inequality for the Dan's spending in terms of h, the number of hours that the clown can be at the party will be;
⇒ $180 + $35h < $400
Thus, The correct inequality for the Dan's spending in terms of h, the number of hours that the clown can be at the party will be;
⇒ $180 + $35h < $400
Learn more about the inequality visit:
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En una fábrica de automóviles que trabaja las 24 horas se arman diariamente 24 automóviles tipo Sedan, 16 camionetas tipo SUV, 12 camionetas tipo VAN, 8 Camionetas tipo Pick-up y 2 automóviles deportivos. ¿Cómo se le puede calcular el tiempo de fabricación a cada vehículo?
Answer:
El tiempo de fabricación para cada vehículo es:
Automóviles tipo Sedan= 1 hora
Camionetas tipo SUV= 1.5 horas
Camionetas tipo VAN= 2 horas
Camionetas tipo Pick-up= 3 horas
Automóviles deportivos= 12 horas
Step-by-step explanation:
En una fábrica de automóviles que trabaja las 24 horas se arman diariamente 24 automóviles tipo Sedan, 16 camionetas tipo SUV, 12 camionetas tipo VAN, 8 Camionetas tipo Pick-up y 2 automóviles deportivos. Para calcular el tiempo de fabricación de cada vehículo debes dividir la cantidad de horas que trabaja por la cantidad de cada vehículo fabricado. Esto es:
24 horas÷ 24 automóviles tipo Sedan= 1 hora
24 horas÷ 16 camionetas tipo SUV= 1.5 horas
24 horas÷ 12 camionetas tipo VAN= 2 horas
24 horas÷ 8 Camionetas tipo Pick-up= 3 horas
24 horas÷ 2 automóviles deportivos= 12 horas
El tiempo de fabricación para cada vehículo es:
Automóviles tipo Sedan= 1 hora
Camionetas tipo SUV= 1.5 horas
Camionetas tipo VAN= 2 horas
Camionetas tipo Pick-up= 3 horas
Automóviles deportivos= 12 horas
Solve for x:
1
1
-X – 2
32
- 2 = (2 – 6)
2
Answer:x=-215
Step-by-step explanation: hope this helps!
Find the Slope-intercept equation of the line which passes through (3, -4) and (-3, 8).
Answer:
y = -2x + 2
Step-by-step explanation:
8 + 4/ -6
= -2
y = -2x + b
8 = -2(-3) + b
8 = 6 + b
2 = b
check work
-4 = -2(3) + 2
-4 = -6 + 2
-4 = -4
it is correct
The flag has been rotated clockwise 122°. Consider this single transformation to be a composition of reflections over two intersecting lines.
The measure of the angle between the two intersecting lines is
A degrees
Answer is in the file below
tinyurl.com/wtjfavyw
Describe and correct the error in the solution.
16z + 2z - 6
32z - 6
Answer:
You don't multiply the 16 and 2, you add them.
Step-by-step explanation:
18z - 6
Evaluate the expression
2s + t = ? When s = 9 and t = 7
Answer:
2 (9) + 7 = 25
Step-by-step explanation:
May someone help me with this :)
Answer:
Step-by-step explanation:
9x5=45
45=area
9+9+5+5=28
28=Per
#2
π x 8^2
=16
A=16π
2 x π x 8
P=16π
#3
hxb/2
=10x24/2
=120
A=120
P=60
How many minutes will it take for an ambulance to reach a person who has suffered a stroke 6 miles away, if the ambulance drives at a rate of 58 miles per hour?
Answer:
6.21 minutes approx
Step-by-step explanation:
Given data
Distance = 6 miles
Speed = 58miles per hour
We know that the expression for speed is
Speed= distance/time
substitute
58= 6/time
time= 6/58
time=0.10 hours
To minutes
=6.21 minutes approx