The correct value in this function is f(21) = 157
This question is related to substitution of values. To solve it, just: change x by the indicated value and thus calculate normally.
– The given function being f(x) = 8x - 11, replace X by 21:
f(x) = 8x - 11
f(21) = 8 . 21 - 11
– Finally, just calculate the expression now, like this, multiplying and subtracting the numbers:
f(21) = 8 . 21 - 11
f(21) = 168 - 11
f(21) = 157
Therefore, the correct value of this function will be f(21) = 157
Which of the following is equal to tan O using coordinates on the unit circle?
А) У/ х
B) xly
C) x
D) y
The expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.
What is right angle triangle property?In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.
[tex]\tan\theta=\dfrac{b}{a}[/tex]
Here, (a) is the base side, (b) is the opposite side.
Let suppose y is the length of opposite side in a unit circle and x is the length of base side. Thus, the value of tan theta is:
[tex]\tan\theta=\dfrac{y}{x}[/tex]
Hence, the expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.
Learn more about the right angle triangle property here;
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what is the measure of an angle if the hypotenuse is 13 and adjacent side is 12?
[tex]cos(\theta)=\cfrac{\stackrel{adjacent}{12}}{\underset{hypotenuse}{13}}\implies cos^{-1}[cos(\theta)]=cos^{-1}\left( \cfrac{12}{13} \right) \\\\\\ \theta =cos^{-1}\left( \cfrac{12}{13} \right)\implies \theta \approx 22.62^o[/tex]
Make sure your calculator is in Degree mode.
Porter has $99.931 in a savings account. The interest rate is 14% per year and is not compounded. To the nearest dollar, how much interest will he earn in 5 years?.
Use the formula i = prt, where I is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and it is the time in years. Round your answer to the nearest dollar.
$?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$99.931\\ r=rate\to 14\%\to \frac{14}{100}\dotfill &0.14\\ t=years\dotfill &5 \end{cases} \\\\\\ I = (99.931)(0.14)(5)\implies I\approx 70[/tex]
PLEASE HELP WILL MARK BRSINLIEST!!!!!
Answer:
AC=18
Step-by-step explanation:
Let's look at the smaller triangle first. Side AB is 2.5, side BC is 3.5 and side AC is 4.5. Now, looking at the larger triangle, we see that side AB is 10, side BC is 14 and side AC is unknown.
So, how do we find side AC?
First, let's take a look at the other sides available to us—how about AB? On the smaller triangle, AB=2.5, and on the larger triangle AB=10. So, what's their relation?
Well, let's first divide the two by each other: 10/2.5, of which gets us 4. Now, this in itself gives us answer, but let's just double check to be sure. So, taking side BC on the smaller triangle, 3.5, and on the larger triangle, 14, we then divide the two again. 14/3.5 and- look at that! We get 4 again again.
This tells us that 4 is then our multiplier, so we can write the equation as follows: 4.5 (of which we get from the smaller triangle) *4=?. So, with the equation 4.5*4, we get 18 as our answer for ?, or simply the unknown side "a".
PLEADE HELP??????????????
Answer:
A
Step-by-step explanation:
because for combinatioj order are no imoortant
Find the base for the following items.
1.50 is 20% of what number?
2.18 is 3373% of what number?
3.4 is 1% of what number?
4.5% of what number is 90?
5.1623% of what number is 72?
Answer:
1.50 * 20% = 0.32.18 * 3373% = 73.53143.4 * 1% = 0.0344.5% * 90 = 4.055.1623% * 72 = 3.716856Step-by-step explanation:
I can't really explain, but Here comes the hoping:
Equation 1:
1.50 * 20%= 1.50 * 0.20= 0.3Equation 2:
2.18 * 3373% = 73.5314 (Can't find decimal).Equation 3:
3.4 * 1%= 3.4 * 0.01= 0.034Equation 4:
4.5% * 90= 0.045 * 90= 4.05Equation 5:
5.1623% 72= 3.716856 (Can't find decimal).look at the image and please tell me if I was correct
Answer:
yes
Step-by-step explanation:
you seem to be correct
Convert the degree measure to radian measure as a multiple of pi and as a decimal rounded to three decimal places.
Step-by-step explanation:
remember, 360° (the full circle) = 2pi
a)
60° = 60/360 × 2pi = 2pi/6 = pi/3 = 1/3 × pi =
= 1.047197551... ≈ 1.047
b)
210° = 210/360 × 2pi = 210/180 × pi = 7/6 × pi =
= 3.665191429... ≈ 3.665
c)
225° = 225/360 × 2pi = 225/180 × pi = 45/36 × pi =
= 5/4 × pi = 3.926990817... ≈ 3.927
d)
120° = 120/360 × 2pi = 2pi/3 = 2/3 × pi =
= 2.094395102... ≈ 2.094
Which function has zeros of -8, 1, and 3?
Answer:
A?
Step-by-step explanation:
(x-3) (x+8)(x-1) would be the solution
what is the area of the figure 27 1/2yd 17 1/5yd in yd
Answer:
473
Step-by-step explanation:
→ Write the formula
Base × Height
→ Substitute in the numbers
[tex]27\frac{1}{2}*17\frac{1}{5}[/tex]
→ Convert to improper fractions
[tex]\frac{55}{2} *\frac{86}{5}[/tex]
→ Simplify
473
Will give brainliest.
Answer:
Im pretty sure its "A. 6"!
Have a nice day! :)
Match the graph with the correct equation.
y-1 = -4(x + 5)
y-1 = -1/4(x + 5)
y+1 = -1/4(x + 5)
y-1 = -1/4(x + 5)
I need help with this question please!! See attached
Answer:
(a) 191 had side effects
(b) 370 had nausea
(c) 86 had both anxiety and fatigue
Step-by-step explanation:
See attached. We look at the Venn diagram to answer the different questions.
If you are color blind let me know and I will mark the attachment more clearly.
In order to predict future housing needs the population of two towns, Appletown and Callwood, have been monitored and plotted on a graph for the past four years. The results are shown on the graph above. If both towns continue to grow at their current rates, which town will have the largest population at year 10 of the study? A
If both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.
What is exponential growth?Exponential growth occurs when the pattern of increase is higher with the passage of time.
The formula for the exponential increase is as follows:
f(x)=a(1+r)^{x}
Where:
f(x) = exponential growth function
a = initial number or amount
r = growth rate
{x} = number of time intervals
Thus, if both towns, Appletown and Callwood, continue to grow at their current rates, Callwood will have the larger population at year 10 because it is increasing exponentially.
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A board 4 feet 8 inches long she cut a board 56 inches long explain how you can convert one of the measurements so that both use the same unit
Answer:
4 feet = 48 inches
48 + 8 = 56 inches
Step-by-step explanation:
4 feet = 48 inches
48 + 8 = 56 inches
Surface area of chili deer
Answer:
C. 314.2 cm²
Step-by-step explanation:
Surface area for cylinder
[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h[/tex],
where r is radius and h is height.
[tex]2\pi r^2[/tex] comes from two times the area of the circle, [tex]2 \pi r h[/tex] is the area of the curved surface.
Given information:
r = 5 cm
h = 5 cm
Insert the values into the formula and evaluate
[tex]\text{SA} = 2 \pi r^2 + 2 \pi r h\\\text{SA} = 2 \pi (5)^2 + 2 \pi (5)(5)\\\text{SA} = 2 \pi (25) + 2 \pi (25)\\\text{SA} = 50 \pi+ 50\pi \\\text{SA} = 100\pi \approx 314.159\\\text{SA} = 314.2 \text{ cm}^2[/tex]
84,326 dividido para 23
Mrs. Jones decided to buy some pencils for her class. She bought 5 packages of pencils, and each package contained 57 pencils.
There are 19 students in her class and she divided up the pencils so that each student had the same amount of pencils. If there
were no pencils left over, how many pencils did each student get?
A. 24
B. 95
C. 3
D. 15
Answer:
15 pencils
Step-by-step explanation:
5 pencils * 57 pencils is 285 total pencils
285 / 19 = 15
alternatively you can do 57/19 * 5, which is also 15
Determine the volume of a cube with sides of 30mm
Answer: Hello, your answer would be [tex]2.7x10^-5m^3[/tex]
Step-by-step explanation:
[tex]30mm[/tex]
[tex]a=0.03m[/tex]
[tex]V=a^3=0.03^3=2.7x10^-5m^3[/tex]
(the answer is also in the picture)
Answer:
V≈2.7×10^-5m³
Step-by-step explanation:
a=edge
Unit Conversion:
a=30mm/1000m
a=0.03m
Solution
V= a³= 0.03³
a³=0.03x0.03x0.03 ≈ 2.7×10^-5m³
NO LINKS!!! For each table, tell whether represents a linear, exponential, inverse, or no relationship. Write an equation each table(if possible).
[tex]\large\boxed{\sf inverse \ variation}[/tex]
[tex]\sf \large\boxed{\sf xy = 12}[/tex]
Explanation:The coordinates are given in the table. Plot the points and draw a smooth curve on the graph. Identify the type of curve it forms.
After identification, it looks like a inverse graph.
Constant variable:
1 × 12 = 122 × 6 = 123 × 4 = 124 × 3 = 126 × 2 = 12Inverse variation: xy = a [a is constant]
Equation: xy = 12 or y = 12/x
Answers:
This is an Inverse variation
The equation is y = 12/x which is the same as saying xy = 12
======================================================
Explanation:
Notice that for each column, the x & y values multiply to 12.
1*12 = 122*6 = 123*4 = 124*3 = 126*2 = 128*1.5 = 1210*1.2 = 1212*1 = 12This tells us that x*y = 12 which rearranges to y = 12/x
All inverse variation equations are of the form y = k/x which is equivalent to xy = k.
As x increases, y decreases, and vice versa.
Mya bought x shirts for $14.50 each and used a $20 coupon. Which equation represents theh total amount, a, she spent?
What is the perimeter of this composite figure?
Answer:
24.56
Step-by-step explanation:
the circumference of a cricle is pi times diameter (so 4pi) then add both sides of 6 (so 12)
Answer:
P= 24.56cm
Step-by-step explanation:
P=2L + πd
P=2x 6cm + 3.14x4cm
p=12cm+12.56cm
P= 24.56cm
Britney is buying a shirt and a hat at the mall. The shirt costs $30.50, and the hat costs $19.75. If Britney gives the sales clerk$100.00, how much change should she receive? (Ignore sales tax.)
A. $49.75
B. $50.25
C. $59.50
D. $46.65
Giving brainliest and 50 points
Answer:
mean: 26
minimum: 0
first q (lower): 5
median: 27
third q (upper): 44
max: 45
(all your answers for Aaron are correct as well:)
hope this helps:)
In the diagram AB is parallel to CD. What is the term for the line that intersects the two parallel lines? A) transversal B) perpendicular C) normal D) bisector
Answer:
A) transversal
Step-by-step explanation:
The vocabulary term you're looking for is "transversal."
A transversal crosses parallel lines (or ones that are nearly parallel in the vicinity of the transversal).
What is the area of the square with a length of 3/4 and a width of 3/4, in square units?
When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $10,000 a year with a commission of 9% of your sales • Option B: Base salary of $20,000 a year with a commission of 4% of your sales How much electronics would you need to sell for option A to produce a larger income? Enter your answer as an inequality using the variable x to represent electronics sales in dollars. Do not enter any commas in your answer.
Using linear functions, it is found that the number of electronics that you need to sell for a larger income in option A is x > 200,000.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Considering the base salaries as the intercept and the commissions as the slope, the functions are given by:
A(x) = 10000 + 0.09x.B(x) = 20000 + 0.04x.To produce a larger income in option A, it is needed that:
A(x) > B(x).
Hence:
10000 + 0.09x > 20000 + 0.04x
0.05x > 10000
x > 10000/0.05
x > 200,000
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Part 1: Complete the operations geometrically.
Use vector operations to draw the resultant vector.
⦁ Draw 2u + 4v.
Answer:
Step-by-step explanation:
The geometrically operations 2u + 4v is (2,12).
For immediately line graphs there is a linear relationship between the x and y values and so the line is instantly and should be drawn with a ruler. The gradient determines how steep the road is and the y-intercept tells us the vicinity wherein the immediate line intersects the y-axis.
Why is a graph a direct line?It continually goes up in steps of equal length, so it is a straight line. that is first-class as a way because it goes. It identifies the defining assets of a linear feature—that it has a constant rate of exchange—and relates that property to a geometric feature of the graph.
What is a straight line graph?The graph follows a straight line equation shows a straight line graph.
equation of a straight line is y=mx+cy represents vertical line y-axis.
x represents the horizontal line x-axis.
m is the slope of the line
slope(m)=tan∅=y axis/x axis.
c represents y-intercepts (it is the point at which the line cuts on the y-axis)Straight line graphs show a linear relationship between the x and y values.Learn more about geometry here:-https://brainly.com/question/19241268
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Use rules of transformations to answer each of the items below. Be sure to answer in complete sentences, and when necessary, include your calculations. Create your own set of coordinates for △ B L U and graph it on a coordinate plane. Label each of the triangle's vertices. Write a scenario involving the dilation of △ B L U onto its image. In the scenario, include the scale factor between the similar triangles and the coordinates for the image. Graph the image on the same coordinate plane as its pre-image. Use the distance formula or Pythagorean Theorem to prove mathematically that △ B L U is similar to its image. Include all necessary calculations.
Answer:
We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABCWe want to dilate triangle ABC by scale factor of 2
Step-by-step explanation:
Stanley walks a round-trip of 1.75 miles to work every day. How many miles will he walk in 5.5 days
A. 9.625 miles
B. 96.25 miles
C. 962.5 miles
D. 9625 miles
Multiply miles per day by number of days
5.5 x 1.75 = 9.625
answer: A. 9.625 miles
