Answer: 19
Step-by-step explanation:
As per the model created by Jack; f(x) determines the area and x represents length so f(3) = 9+9+1
Therefore, f(3) = 19
I don’t really know how to do this , can someone help?
Answer:
A 67 inches is the correct answer
[tex]\text{Given that,}\\\\\text{Area of the rectangle,}~ A = 344 ~ in^2\\\\\text{Width of the rectangle,}~w = 16 ~ in\\\\\text{Length of the rectangle,}~ l=?\\\\~~~~~~A = l \times w \\\\\implies l= \dfrac{A}w =\dfrac{344}{16}=21.5 ~in\\\\\text{Perimeter of the rectangle} = 2(l+w) = 2(21.5+16)=75~ in[/tex]
A Web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 2938 MB. How many downloads of the standard version were there?
Answer:
260
Step-by-step explanation:
The relationship between the number of standard versions and the total download can be written as ...
2.3n +4.5(2n) = 2938 . . . . . twice as many high-quality songs (2n)
11.3n = 2938 . . . . . . . . . simplify
n = 2938/11.3 = 260 . . . divide by the coefficient of n
There were 260 downloads of the standard version.
Yolanda cut 2 2/3 yards of fishing line from a new reel. How much is this in inches?
Answer:
1 yard = 3 feet: 3.25 yards x 3 feet per yard = 9.75 feet. 1 foot = 12 inches: 9.75 feet x 12 inches per foot = 117 inches.
Step-by-step explanation:
1 yard = 3 feet: 3.25 yards x 3 feet per yard = 9.75 feet. 1 foot = 12 inches: 9.75 feet x 12 inches per foot = 117 inches.
5. Gavin makes a homemade cleaner using į cup vinegar
for every 2 quarts of water.
Answer:
For every 2 quarts of water, ¹/₂ cup of vinegar is used.
⇒ To find the amount of vinegar, divide the number of quarts by 4.
⇒ To find the number of quarts, multiply the amount of vinegar by 4.
4 qt water = 4 ÷ 4 = 1 cup vinegar
1¹/₂ cups vinegar = 1¹/₂ x 4 = 6 qt water
8 qt water = 8 ÷ 4 = 2 cup vinegar
Plot the points on the graph (see second attached image).
Draw a line through the points.
Find 3 along the x-axis and trace up to the line. Trace along to the y-axis.
Therefore, Gavin would need to use 12 quarts of water with 3 cups of vinegar.
Write the equation of the trigonometric graphs.
Answer:
[tex]2 \cos(4x) [/tex]
Step-by-step explanation:
The highest and lowest value is 2 and -2 respectively so the amplitude is 2.
That also means the vertical translation is 0.
The graph is reaches it max every pi/2 units so the period is
pi/2.
Since the graph intersects a non zero value at 0, it will be the cosine function.
Step 2: A cosine function is
[tex]a \cos(b(x - c)) + d[/tex]
where a is the amplitude
[tex] \frac{2\pi}{ |b| } [/tex]
is the period
C is the horinzontal shift
d is the vertical shift
We know a is 2
D is 0.
To find b,
[tex] \frac{2\pi}{b} = \frac{\pi}{2} [/tex]
[tex]b = 4[/tex]
So as of right now we have
[tex]2 \cos(4x) [/tex]
Answer(s):
[tex]\displaystyle y = 2sin\:(4x + \frac{\pi}{2}) \\ y = 2cos\:4x[/tex]
Step-by-step explanation:
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{8}} \hookrightarrow \frac{-\frac{\pi}{2}}{4} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{2}} \hookrightarrow \frac{2}{4}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{2}} \hookrightarrow \frac{2}{4}\pi \\ Amplitude \hookrightarrow 2[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2sin\:4x,[/tex]in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{8}\:unit[/tex]to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{\pi}{8}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{8}} = \frac{-\frac{\pi}{2}}{4}.[/tex]So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2sin\:(4x + \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [\frac{5}{8}\pi, 0],[/tex]from there to [tex]\displaystyle [\frac{\pi}{8}, 0],[/tex]they are obviously [tex]\displaystyle \frac{\pi}{2}\:unit[/tex]apart, telling you that the period of the graph is [tex]\displaystyle \frac{\pi}{2}.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Simply the expression 3(2y - 8) - 2y(5-y)
Answer:
-4y - 24 + 2y²
Step-by-step explanation:
1. Simplify the distributive properties
⇒ 3(2y - 8) - 2y(5 - y)
⇒ 6y - 24 - 10y + 2y²
2. Combine like terms
⇒ 6y - 24 - 10y + 2y²
⇒ y(6 - 10) - 24 + 2y²
3. Simplify the expression
⇒ y(6 - 10) - 24 + 2y²
⇒ -4y - 24 + 2y²
3 1/6 + 8 2/9 - 1 1/2 =?
Answer:
9 8/9
Step-by-step explanation:
What is the total height of the plants that measured 1
1/8 and
1/4?
Adam is purchasing a new television that costs $2,187.96 after tax. He borrowed the money from his parents and must pay back the full amount plus simple interest at the rate of 3.5%. What is the interest he will pay if he takes 2 years to pay his parents back? (Include Decimal with the cents; No Commas)
Using simple interest, considering the parameters stated in the exercise, it is found that he will pay an interest of $153.16.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of interest after t years in is modeled by:
I = Prt
In which:
P is the initial amount.r is the interest rate, as a decimal.In this problem, the parameters are given as follows:
P = 2187.96, r = 0.035, t = 2.
Hence, the interest paid will be of:
I = Prt = 2187.96 x 0.035 x 2 = $153.16.
More can be learned about simple interest at https://brainly.com/question/25296782
can someone help me with this I already answered half of all of them but I need to make sure It's right?
Answer:
of 34.576:
34.576 = (3 * 101) + (4 * 100) + (5 * 1/101) + (7 * 1/102) + (6 * 1/103)
34.576 = (3 * 10) + (4 * 1) + (5 * 1/10) + (7 * 1/100) + (6 * 1/1,000)
34.576 = 30 + 4 + 5/10 + 7/100 + 6/1,000
34.576 = 30 + 4 + 0.5 + 0.07 + 0.006
Step-by-step explanation:
That is 34.576 in expanded form, so know you can know which is correct
find the measure of mousing angle and justify your answer with postulates and theorems.
Answer:
Step-by-step explanation:
By the same-side interior angles theorem,
A right square pyramid has a volume of 12 cubic centimeters. If the height remains fixed but the sides of the base are multiplied by 3, what is the volume of the new pyramid?
A. 36 cm³
B. 48 cm³
C. 108 cm³
D. 72 cm³
Answer:
36 cm^3
Step-by-step explanation:
Because you need to multiply 12x3 giving you 36.
Answer:
its a
Step-by-step explanation:
i took the test
Width:____feet
Height_____feet
Step-by-step explanation:
Let w = width and h = height. Then we have
w = 3*h - 17
and
4*w + h = 30 (4 shelves and 1 sides).
Plug in the first equation into the second and solve for h:
4*(3*h - 12) + h = 30
12*h - 48 + h = 30
13*h = 78
h = 78/13
h = 6
Plug that in the first equation to find w = 3*6 - 17 = 1
So width = 1 feet.
height = 6 feet
The sum of 9 times a number and 8 is 3
Answer: 9n+8=3
Step-by-step explanation:
Let's break this down
"sum" refers to addition so we must be adding 9 times a number and 8
So far we have "9 times a number + 8"
We can use the variable, n to represent "a number"
Now we have "9 times n +8"
"times" refers to multiplication, so we should multiply 9 and n
Now we have "9n+8"
"is 3" simply means that this will equal 3
So now we have the equation 9n+8=3
The temperature at 1:00 p.m. The temperature at 1:00 p.m. on Tuesday was -13°C. There was an increase of 6º per
hour starting at 1:00 p.m. Which of the following best represents the Celsius
temperature n hours after 1:00 p.m. on Tuesday?
A. -13 + bn
B. -13 - 6n
C. -13n + 6
D. -13n - 6
So
Equation in slope intercept form
y=mx+by=6n+(-13)y=6n-13Option A
I need someone to solve this ASAP.
Answer:
320 ft² (nearest whole number)
Step-by-step explanation:
Given:
height of fence post = 8 ftdiameter of fence post = 1 ft ⇒ radius = 0.5 fttotal number of posts = 12π = 3.14Surface area of a cylinder = 2πr² + 2πrh
⇒ SA of one fence post = 2 · 3.14 · 0.5² + 2 · 3.14 · 0.5 · 8
= 1.57 + 25.12
= 26.69 ft²
As there are 12 fence posts,
Total paint needed = 12 × 26.69
= 320.28 ft²
= 320 ft² (nearest whole number)
Consider an experiment of tossing an unbiased coin three times. What is the probability of obtaining four heads?
Answer:
0.0625
Step-by-step explanation:
the probability of getting 4 heads in a row is 0.5^4
answer is 0.0625 or 1/16
Find the area of the shaded polygons
NEED ASAP PLEASE!! THANK YOU
Answer:
168
Step-by-step explanation:
area of a trapezoid is
((a+b)/2)*h
((8+16)/2)*14
12*14 =
168
Write the rate in lowest terms.
During a bad storm there was 2 in of rain in 4 hr.
The rate in lowest terms is_____?
Answer:
1/2 in/hr
Step-by-step explanation:
2 in / 4h = 1/2 inch per hour
mark must at least 32 units of vitamin a 10 units of vitamin b and 55 units of vitamin c daily he can choose between pill #1 which contains 8 units of a 1 unit of b and 2 units of c or pill #2 which contains 2 units of a and 1 unit of b and 7 units of c pill #1 cost $0.15 and pill #2 cost $0.35 how many of each pill should he buy in order to minimize his cost?
He buys blank of pill #1 and blank of pill #2
the minimum cost of $
PLEASE HELP ASAP!!! IM STUCK ON THIS
Answer:
Pill 1 costs 25e, and pill 2 costs 75e. Complete parts a and below. An a. How many of each pill should he buy in order to minimize his cost? What is the minimum?
Step-by-step explanation:
Justin runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
miles
Answer:
2.8 Miles
Step-by-step explanation:
If 7m is 60mins
How many miles is 24 mins
solution:
take unknown miles to be 'x'
7m=60mins
Xm=24mins
cross multiply
7×24/60=2.8m
x=2.8miles
Carly is in charge of bringing juice for the class party. Her class has 24 students and 1 teacher. She estimates that each person will drink 400 milliliters of juice. To make sure she has enough, she also wants to bring an extra liter of juice. How many liters of juice should Carly bring in all?
Answer:
10,000
Step-by-step explanation:
if it's including the teacher then it should be 10,000
A baker has 3 pounds of dried fruit. Each batch of a recipe she is making uses 1/2 pound of the fruit. How many batches can she make?
A square is inscribed in a circle. How much larger is the area of the circle than the area of the square?
ratio form
Answer:
π/2 : 1 or π : 2
Step-by-step explanation:
In the attachments I have a picture of a square inscribed in a circle.
Call the side of the square a. Therefore, the area of the square is a^2.
We can also see that the diagonal of the square is the circle's diameter.
Using the Pythagorean Theorem we find that the diagonal/diameter of the circle is a√2. Thus the radius is that divided by 2, which is (a√2)/2.
We also know that the formula for a circle's area is πr^2, so the area of the circle is π((a√2)/2)^2 --> π(a^2)(2)/4 --> π(a^2)/2.
Hence the ratio of the circle to the square is π(a^2)/2 to a^2 which is π/2 to 1 or π to 2.
cos(theta)+1 / tan^2(theta) = cos(theta) / sec(theta) - 1
Kevin made 4 identical necklaces each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.60. If the beads cost a total of 9.20 how much did each pendant cost
Cassie has 10 1/2 feet of string to make 15 beaded bracelets. She needs 9 inches of string for each bracelet. Does she have enough string to make all the bracelets? Explain. (1 foot = 12 inches)
Answer:
unfortunately one person will be without a bracelet
The total cost f(x), in dollars, for renting a bowling lane for x hours is shown:
f(x) = 2x + 12
What does f(14) represent?
A. The number of dollars it costs to rent the bowling lane for 14 hours
B. The number of games you can bowl for a cost of $14
ting
C. The number of games you can bowl in 14 hours
D. The number of hours the bowling lane can be rented for a cost of $14
Brainliest if correct
Answer:
6.1291 < 8.3 < 8.308 < 8.38
Step-by-step explanation:
Start by looking at the whole numbers.
6 < 8
Since the only whole numbers are 6 and 8, we can rule out that the smallest number, or with the least value, is 6.
Next, look at the tens place.
Since they are all 8.3--, we cannot find the next one until we look at the hundredths place.
Next, look at the hundredths place.
Keep in mind that 8.3 is the same as 8.300
There is 8.30 < 8.38 and 8.308 <8.380
Now we know the lowest value and the highest value! (6.1291 and 8.38)
Between the last two, let's figure out where they place
Look at the thousandths place.
8.300 < 8.308
Hence, the answer provided above!
6.1291 < 8.3 < 8.308 < 8.38
Hope this helps! :)
Find the measure of the red arc or chord in ⊙C
Answer: 75
Step-by-step explanation:
The measure of the red arc or chord is 75 degrees
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
From the given figure we observe that ∠ACB is vertical angle of ∠ECD
∠ECD = 75 degrees
∠ECD = ∠ACB as they are vertical angles
∠ACB = 75 degrees
∠ACB is the central angle.
The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
So measure of arc AB is 75 degrees
Hence, the measure of the red arc or chord is 75 degrees
To learn more on Circles click:
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