Simplify your answer
Answer:
= F^2 x^2
Step-by-step explanation:
(F(x))^2
Apply the rule: (a) =a (x) = x
= (Fx)^2
Apply exonent rule: (a . b)^n = a^n b^n (Fx)^2 = F^2 x^2
= F^2 x^2
15. The area of a triangle is 72 in the base is 12 in. Find the height.
Answer:
[tex]hright =12[/tex]
Step-by-step explanation:
----------------------------------------
The formula to find the area of a triangle is [tex]A=\frac{1}{2}bh[/tex] where [tex]b[/tex] stands for the base and [tex]h[/tex] stands for the height.
But we already know the area and the base. So to find the height, let's substitute 72 for [tex]A[/tex] and 12 for [tex]b[/tex], and solve.
[tex]72=\frac{1}{2}(12)(h)[/tex]
[tex]72=6h[/tex]
Here, divide both sides by 6
[tex]12=h[/tex]
--------------------
Hope this is helpful.
Answer:
height = 12
Step-by-step explanation:
.............
identify the largest value in fraction 3/4, 1/2, 3/5
Answer:
1/2
Step-by-step explanation:
The largest value in fraction it is 1/2 because the fraction is small amount .while the 3/4 is least amount .and 3/5 is greatest amount fractions
Find the length of an arc that subtends a central angle of 224° in a circle of radius 20 m
Answer:
78.2m
Step-by-step explanation:
Lenght of the arc= ( circumference) × ( fraction of the circle)
Circumference=2πr = 2×20×π
Radius=20 m
fraction of the circle can be calculated as 224°/360°= 0.662
Then substitute the values we have
Lenght of the arc=
(2×20×π) ×0.662
= 78.2,
Lenght of the arc is 78.2m
a) Read section 1.5 in the Yakir textbook. If you were a teacher and had 30 students in your class and wanted to know the class average on the first quiz, would you use a parameter or a statistic
Answer:
Parameter
Step-by-step explanation:
Required
Parameter of Statistic
From the question, we understand that the teacher is to calculate the class average.
To calculate the class average, the teacher will use the mean function/formula, which is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
Generally, mean is an example of a parameter.
So, we can conclude that the teacher will use parameer
How many voters should be sampled for a 95% confidence interval? Round up to the nearest whole number.
Answer:
467 voters
Step-by-step explanation:
Given
See attachment for complete question
Required
Sample size at 95% confidence interval
From the attachment, we have:
[tex]p = 65\% = 0.65[/tex]
[tex]E = 4.33\% = 0.0433[/tex]
[tex]CL = 0.95[/tex]
[tex]\alpha = 0.05[/tex] i.e. 1 - CL
First, we calculate the critical level
At [tex]CL = 0.95[/tex] and [tex]\frac{\alpha}{2}[/tex]
[tex]z^* = 1.96[/tex] --- the critical level
So, we have:
[tex]n = p * (1 - p) * (\frac{z^*}{E})^2[/tex]
[tex]n = 0.65 * (1 - 0.65) * (\frac{1.96}{0.0433})^2[/tex]
[tex]n = 0.65 * (1 - 0.65) * (45.3)^2[/tex]
[tex]n = 0.65 * 0.35 * 2052.1[/tex]
[tex]n = 466.9[/tex]
[tex]n = 467[/tex] --- approximated
write the equation of the line shown in the graph above in slope-intercept form
If s(x)= 2 -x^2 and f(x)=3x, which value is equivalent to (s°f)(-7)
At a local university the students have been overdosing on caffeine to help them study for exams. However, many students have been getting quite sick from taking too much coffee and cola.
A. How many cups of coffee would be too much and at the dangerous level (3.00 g)? You know that coffee contains 21.5 mg caffeince per ounce and a cup is 8 oz.
B. How many cans of cola would be too much and at the dangerous level? You know that cola contains 4.20 mg per ounce and a soft drink can contain 12.0 oz.
Answer:
A) Hence, the number of coffee cups that are risky = 17.4 Cups.
B) Here, the number of coffee cups that are risky = 59.5 Colas.
Step-by-step explanation:
A)
In 1 cup coffee =[tex]8\times21.5mg= 172.0 mg[/tex]
Hence one cup of coffee contains 172 mg of caffeine. The risky level is 3000mg.
Therefore, the number of coffee cups that are risky
[tex]= 3000/172\\ \\=17.4 cups[/tex]
Here, the number of coffee cups that are risky = 17.4 cups.
B)
[tex]1 cola=12\times4.2mg\\\\ = 50.4mg / day[/tex]
Hence, one can cola contains 50.4 mg of caffeine.
The dangerous level is 3000 mg.
Therefore, the number of cola cans that are risky [tex]=3000/50.4= 59.5[/tex] cola is risky.
(6a/8+3) + 7a/8...........
Hello!
(6a/8+3) + 7a/8 =
= 6a/11 + 7a/8 =
= 125/88 × a
Good luck! :)
Helpppppppppppp!!!!!!!!!
If you apply the changes below to the absolute value parent function f(x) = |x|, which of these is the equation of the new function
• shift 4 units to the left
• shift 6 units up .
Answer: D
Step-by-step explanation:
Try to draw the X and Y axis: When you shift the function to left it translates as going to the left of the X axis. So what you want is that every value of X on the parent function to correspond to the same x value minus four.
You can apply the same logic to get the + 6
Find the width of a photograph whose length is 24 inches and whose proportions
are the same as a photograph that is 3 inches wide by 4 inches long.
A photograph having length of 24 inches which is proportionate to another photograph having dimensions 3 × 4 inches, has width of 18 inches.
What is proportion?
In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.
Let the width of the photograph be x inches.
The length of the photograph is 24 inches.
A similar proportion photograph has width as 3 inches.
A similar proportion photograph has length as 4 inches.
The equation to find the width of photograph is -
x / 24 = 3 / 4
Simplify the equation -
x = (24 × 3) / 4
x = 72 / 4
x = 18
Therefore, the width value is 18 inches.
To learn more about proportion from the given link
https://brainly.com/question/19994681
#SPJ1
The last dividend paid by Wilden Corporation was $1.55. The dividend growth rate is expected to be constant at 1.5% for 2 years, after which dividends are expected to grow at a rate of 6.0% forever. The firm's required return (rs) is 12.0%. What is the best estimate of the current stock price?
Answer:
Net present value= $25.17
Step-by-step explanation:
We are told that The last dividend paid was $1.55 and that the dividend growth rate is constant at 1.5% for 2 years.
Thus;
1) After 1st year;
1.55 × (1 + 0.015) = 1.57325 Div1
After 2nd year;
1.57325 × (1 + 0.015) = 1.59685 Div2
After that 2 years it grows at 6% Constant rate forever;
1.59685 × (1 + 0.06) = 1.69266 Div3
Let's now use the dividend formula which grows in perpetuity at a rate of "g" since required return is 12%:
Thus;
V = 1.69266/(0.12 - 0.06) = 28.211
Thus; Div2 = 28.211 + 1.59685 ≈ 29.80785
Now, using the financial calculator of the Cash Flow function, we have:
Div0 = 0
Div1 = 1.57325
Div2 = 29.80785
i% = 12
Net present value = (1.57325/(1 + 0.12)) + ((1.59685 + 28.211)/(1 + 0.12)²)
Net present value= $25.17
For this problem what I did was add all the measurements and I got 48 m. However, it is wrong. How do I go about solving the perimeter then?
9514 1404 393
Answer:
66 m
Step-by-step explanation:
The perimeter is the sum of the measures of all of the sides. There are two side measures that are missing from the diagram.
The missing horizontal measure is ...
17 m - 8 m = 9 m
The missing vertical measure is ...
16m -7 m = 9 m.
If you add these to the sum you already calculated, you will get the correct answer:
48 m + 9 m + 9 m = 66 m . . . perimeter of the figure
_____
If you're paying attention, you see that the sum of the measures of the two shorter horizontal segments is the same as the measure of the longer horizontal segment. Likewise, the sum of the measurements of the two shorter vertical segments is the same as that of the longer vertical segment.
In other words, the perimeter of this (and any) L-shaped figure is the same as the perimeter of a rectangle having the same horizontal and vertical dimensions as the long sides of the figure.
P = 2(17 m +16 m) = 2(33 m) = 66 m
I need help. What’s the answer and how do you do this?
find out the Range coefficient of the range
marks number of students
20-29 8
30-39 12
40-49 20
50-59 7
60-69 3
Answer:
0.4494
Step-by-step explanation:
Given :
marks number of students
20-29 8
30-39 12
40-49 20
50-59 7
60-69 3
The range Coefficient is obtained thus :
Range Coefficient = (Xm - Xl) / (Xm + Xl)
Where ;
Xm = Mid value of highest class = (60+69)/2 = 64.5
Xl = Mid value of lowest class = (20+29)/2 = 24.5
Range Coefficient = (64.5 - 24.5) / (64.5 + 24.5)
Range Coefficient = 40 / 89 = 0.4494
Which of the following is NOT true of a perpendicular bisect or?
Answer:
The forth option
It forms a right angle with the segment.
1) What is the opposite of adding 5?
2) What is the opposite of subtracting 20?
3) What is the opposite of multiplying by 1/2?
4) What is the opposite of dividing by 10?
I need help pleasereee
Answer:
1. subtracting 5
2. adding 20
3. dividing by 1/2
4. multiplying by 10
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the equation below. The value of x in terms of b is . The value of x when b is 3 is .
Answer: x=-3/3=-1
Step-by-step explanation:
To solve for x in terms of b, simply treat b as a number, and solve for x as usual: first of all, we expand the left hand side:
-2bx+10=16
Subtract 10 from both sides:
-2bx=6
Divide both sides by -2b:
x=6/-2b=-3/b
This means that in particular, if we set b=3 , we have
x=-3/3=-1
is there a formula for this?
help asap!!
Answer:
yes
Step-by-step explanation:
the answer is c well thats what my teacher said
Answer:
B
Step-by-step explanation:
using sine rule
[tex] \frac{y}{sin \: 45} = \frac{5}{sin \: 45} \\ y = 5[/tex]
using sin rule
[tex] \frac{x}{sin \: 90} = \frac{5}{sin \: 45} \\ \\ 5sin90 = xsin45 \\ \\ x = \frac{5 \: sin \: 90}{sin \: 45} \\ x = \frac{5}{0.7071} \\ x = 7.071[/tex]
x=5√2
how many integers from 1 through a
Answer:
sorry but I don't understand
Step-by-step explanation:
please forgive me
comment if I am forgiven
in a board game you must roll two 6-sided number cubes. you can only start the game if you roll a 3on at least one of the number cubes.
Answer:
[tex]1-(5/6)^2[/tex]
31% chance
1 in 3.272727273 rolls
Step-by-step explanation:
If f (x)=3x-2 and g(x) =6-4 find f(x) + g(x)
Answer:
3x
Step-by-step explanation:
A board is 87 cm in length and must be cut so that one piece is 21 cm longer than the other piece. Find the length of each piece. Round your answers to the nearest centimeter, if necessary. * + 21?
Thank you for answer Yey can I answer in my subject
If llm and m<6 = 4x - 15 and m<7 = x + 30, then m<6=
Answer:
Step-by-step explanation:
There are only 2 angle values that <1 to <8 can be. The two values add up to 180
In this case <6 and <7 are equal.
<6 = 4x - 15
<7 = x + 30
4x - 15 = x + 30 Subtract x from both sides
4x-x - 15 = 30 Add 15 to both sides
3x = 30 + 15
3x = 45 Divide by 3
x = 45 / 3
x = 15
<6 = 4x - 15
<6 = 4*15 - 15
<6 = 60 - 15
<6 = 45
PLEASE HELLPP!!! Choose the best graph that represents the linear equation:
-x = 2y + 1
Graph A
On a coordinate plane, a line goes through (negative 1, 0) and (1, negative 1).
Graph B
On a coordinate plane, a line goes through (negative 3, negative 1) and (1, 1).
Graph C
On a coordinate plane, a line goes through (1, 0) and (5, negative 2).
Graph D
On a coordinate plane, a line goes through (negative 3, negative 2) and (1, 0).
a.
Graph A
c.
Graph C
b.
Graph B
d.
Graph D
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation: just C-
Answer: Its not c
Step-by-step explanation: It is A
For two consecutive numbers, five times the number that is less is 3 more than 4 times the greater number, What are the numbers
This is due on 7/1/2021 at 8AM PST. Someone please help?
Find the area of the quadrilateral.
Answer:
320 cm²
Step-by-step explanation:
If 3 units = 12cm
Then 1 unit = 12/3 = 4cm
Formula for Area Trapezoid = height*(base1+base2)/2
Base 1 = 12
Base 2 = 7 * 4 = 28
12 + 28 = 40
40 * (4*4) = 40 * 16 = 640
640 / 2 = 320
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
In a class Test, Maduri got 36 marks, she had written 12 questins correct. Each correct answer carries 5 mark and wrong ans - 3 mark (1.) How many wrong and would she have written? (2.) How much mark will she get if she writes 10 correct answers and 10 wrong answers
Answer:
please I don't know God forbid
If F is the function defined by F(x)=3x−1, find the solution set for F(x)=0.
The solution for set F(x) is -1
