Answer:
218.38 feet
Step-by-step explanation:
tan(20) = x/600
tan(20) = 0.3639
600 x 0.3639 = 218.38 feet
hope this helps
bral
Explain how to use a graph of the function f(x) to
find (3).
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = x2 + 1 and g(x) = 3x.
Find f · g.
A.
x2 + 3x + 1
B.
3x3 + 3x
C.
3x3 + 3x + 1
D.
x2 + 3x
Answer:
I say it's a
Step-by-step explanation:
I hope this help
James is studying the decline of a certain bird species. James’ observations are as follows: Year 1900 1950 1990 2005 Population (in thousands) 6012 72 2 .5 What is the best fit exponential decay equation for this decline? 5=6012(1-0.06)105 At what year did the population first drop below 1,000,000? If this trend continues, what will be the population in 2020?
Graph
y = 3x^2.
Please thanks
Answer:
The image of the graph is below.
Step-by-step explanation:
Algebra is confusing !! :(
Answer:
Step-by-step explanation:
Hello!
x²-4 = 5*5-4= 21
3x= 3*5 = 15
21/15 = 1,4
Answer: Fourth Choice. 1.4
Step-by-step explanation:
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given
(x² - 4) / 3x
x = 5
Substitute the value of x
[(5)² - 4) / 3(5)
Simplify exponents
(25 - 4) / 3(5)
Simplify numerator with subtraction and denominator with multiplication
21 / 15
Simplify by division
7/5 = 1.4
Hope this helps!! :)
Please let me know if you have any questions
Does anyone know what math topic this is?
Answer:
Comparing quantities
profit loss
cost price selling price.....
rearrange the formula to make x the subject : 5( a - 2x) = 9(x + 1)
Answer:
x = [tex]\frac{5a-9}{19}[/tex]
Step-by-step explanation:
Given
5(a - 2x) = 9(x + 1) ← distribute parenthesis on both sides
5a - 10x = 9x + 9 ( add 10x to both sides )
5a = 19x + 9 ( subtract 9 from both sides )
5a - 9 = 19x ( divide both sides by 19 )
[tex]\frac{5a-9}{19}[/tex] = x
Rewrite this equation in the form y = ax + b.
2y = 4x - 8
Enter the correct answer.
OOÐ
DONE
Clear all
ĐOO
?
Answer:
y = 2x -4
Step-by-step explanation:
2y = 4x - 8
Divide each side by 2
2y/2 = 4x/2 - 8/2
y = 2x -4
An amount of 960.00 was contributed equally by 80 students. If 714.00 was contributed equally by 68 girls and the remains was contributed equally by the boys,how much did each (A) girl contribute ( B)boy contribute
Answer:
Amount each girl contributed = 10.5
Amount each boy contributed = 16.83
Step-by-step explanation:
Total amount contributed = 916.00
Total student who contributed = 80
Number of girls = 68
Number of boys = 80 - 68
= 12
Amount contributed by 68 girls = 714.00
Amount each girl contributed = 714.00 / 68
= 10.5
Amount each girl contributed = 10.50
Amount contributed by boys = Total amount contributed - Amount contributed by 68 girls
= 916.00 - 714.00
= 202.00
Amount each boy contributed = 202.00/12
= 16.83
Amount each boy contributed = 16.83
Convert the angle 0 = 310° to radians. Express your answer exactly.
Answer:
5.425
Step-by-step explanation:
310° = 310° × π ÷ 180°
= 310° × 3.142 ÷ 180°
= 310° × 0.0175
= 5.425
Answer:
[tex]\frac{31\pi }{18}[/tex]Step-by-step explanation:
i got it right on khan[tex]\frac{31\pi }{18}[/tex]
For the triangle shown, what are the values of x and y?
60°
30°
6
Select the correct answer.
O x = 2V3, y = 473
O x= 3V3, y = 6/3
O x = 6/3, y = 12
O x = 6V3, y = 1273
Answer:
x = 6/√3 = 2√3
y = 2×2√3 = 4√3
So, 1st option is correct
"A parabola has the equation = ^ + − . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE ANSWER TO THIS FAST WITH STEPS I'm a grade 10 academic student by the way
Answer:
1
Step-by-step explanation:
1
What is the value of a in the equation 3 a plus b equals 54, when b equals 9?
15
18
21
27
Answer:
a=15
Step-by-step explanation:
3a+b = 54
Let b=9
3a+9 = 54
Subtract 9 from each side
3a+9-9= 54-9
3a = 45
Divide each side by 3
3a/3 = 45/3
a = 15
Answer:
[tex]3a+b=54[/tex]
[tex]3a+9=54\:[b=9][/tex]
[tex]3a=54-9[/tex]
Subtract 9 from both sides
[tex]3a=45[/tex]
Divide both sides by 3
[tex]\frac{3a}{3}=\frac{45}{3}[/tex]
[tex]a=15[/tex]
OAmalOHopeO
What is the average rate of change for this quadratic function for the interval
from x = 3 to X = 5?
Answer:
4
Step-by-step explanation:
average = mean of the data
(3 +5)/2
=8/2
=4
Answer:
8
Step-by-step explanation:
f(x2) -f(x1)
---------------
x2-x1
x2 = -3 and x1 = -5
The display provided from technology available below results from using data for a smartphone carrier's data speeds at airports to test the claim that they are from a population having a mean less than 6.00 Mbps. Conduct the hypothesis test using these results. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses?
T-Test
μ<4.00
t=-3.033077
p=0.002025
x=3.48
Sx=1.150075
n=45
Answer:
Kindly check explanation
Step-by-step explanation:
Given the T test output :
T-Test
μ<4.00
t=-3.033077
p=0.002025
x=3.48
Sx=1.150075
n=45
Given that population mean, μ = 6
Confidence level, α = 0.05
The hypothesis :
H0 : μ = 6.00
H1 : μ < 6.00
From the t test output given :
The test statistic :
T = -3.033077
T = - 3.03 (2 decimal places)
The Pvalue :
P = 0.002025
Pvalue = 0.002 (3 decimal places)
The conclusion :
Decision region ; Reject H0 : if Pvalue < α
Since ; Pvalue < α
Reject H0 ; There is sufficient evidence to support claim that sample is from a population with a mean less than 6.
can you guys please help me
Answer:
x^2 - 9
-------------
x^2 - 4
Step-by-step explanation:
x+3 x-3
------ * -----------
x+2 x-2
Notice that the numerator is the difference of squares and the denominator is the difference of squares
(a+b)(a-b) = a^2 - b^2
(x^2 - 3^2)
------------------
x^2 - 2^2
x^2 - 9
-------------
x^2 - 4
Answer:
A...
the parts of theis problem are "special factors" or conjugates
(a+b) (a-b) = a^2 - b^2
you have two of those (x+3)(x-3) = x^2-9
and (x+2)(x-2) = x^2 -4
Step-by-step explanation:
What are the solutions to the system of equations?
{y=x²−4x+8
y=2x+3
Answer:
x = 1, y = 5
x = 5, y = 13
Step-by-step explanation:
y = x² − 4x + 8 .......(1)
y = 2x + 3 .......(2)
Substitute the value of y in equation 2 into equation 1
y = x² − 4x + 8
y = 2x + 3
x² − 4x + 8 = 2x + 3
Rearrange
x² − 4x − 2x + 8 − 3 = 0
x² − 6x + 5 = 0
Solve by factorization
Find the product you x² and 5. The result is 5x²
Find the factors of 5x² such that their sum will result in −6x. The factors are −x and −5x.
Replace −6x in the equation above with −x and −5x. This is illustrated below:
x² − x − 5x + 5 = 0
x(x − 1) − 5(x − 1) = 0
(x − 1)(x − 5) = 0
x − 1 = 0 or x − 5 = 0
x = 1 or x = 5
Substitute the value of x into equation 2 to obtain the value of y.
y = 2x + 3
x = 1
y = 2(1) + 3
y = 2 + 3
y = 5
x = 5
y = 2x + 3
y = 2(5) + 3
y = 10 + 3
y = 13
SUMMARY:
x = 1, y = 5
x = 5, y = 13
calcula el valor de A - B, si se sabe que: A=
Answer:
[tex]P=\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]P=\frac{(x+3)^2-(x-3)^2}{(x+6)^2-(x-6)^2}[/tex]
[tex]=\frac{[(x+3)-(x-3)][(x+3)+(x-3)]}{[(x+6)-(x-6)][(x+6)+(x-6)]}[/tex]
[tex]=\frac{6(2x)}{12(2x)}[/tex]
[tex]=\frac{1}{2}[/tex]
Por tanto, el valor de P será [tex]\frac{1}{2}[/tex]
5. The average weight of a blue whale is 4 x 105 pounds. The average weight of an elephant is 1 x 10 pounds. How many more times heavier is a blue whale than an elephant in pounds?
Answer:
42 more times
Step-by-step explanation:
1) 4×105=420 (pounds)-blue whale
2) 1×10=10 (pounds)- elephant
3) 420:10=42
The amount of times that the blue whale is more heavier than the elephant in pounds is; 40 times heavier.
We are given;Average weight of blue whale; W_w = 4 × 10^(5) pounds
Average weight of elephant; w_e = 1 × 10⁴ pounds
Now, we want to find how much more heavier the blue whale is than the elephant. Thus we will just divide W_w by W_e to get;W_w/W_e = (4 × 10^(5))/(1 × 10⁴)
According to laws of exponents;
a¹²/a³ = a¹² ¯ ³ = a^(9)
Applying that to our question gives;
4(10^(5 - 4)) = 4 × 10 = 40
Read more about exponents at; https://brainly.com/question/18248071
If f(x)= sqrt x, which equation describes the graphed function.
Answer:
C. y = -f(x) - 3
Step-by-step explanation:
The given (parent) function is f(x) = √x
The given graph shows a real curve that starts from y = -3, when x = 0 and the y-value increases in magnitude in the negative direction as the x-values increases positively from left to right, by the same amount that the parent function increases from left to right
Therefore;
The graph is real, therefore, the value of x in √x is x ≥ 0, and y ≠ f(-x) + D
Where, D, is the vertical shift
The graph starts at x = 0, y = -3, compared to the parent function, the vertical shift, D = -3
The y-value of the given curve increases in the opposite direction (negatively) as the y-value of the parent function increases in magnitude in the positive direction
Therefore, the equation of the given curve comprises of the reflection of the parent function or -f(x)
The graph shows the reflection of the parent function, across the x-axis, and we have, reflection of the parent function, f(x) which is -f(x)
Therefore, the equation that describes the graphed function is y = -f(x) - 3
Let f(x) = 4x + 3 and g(x) = -2x + 5. Find. (g⋅f)(5)
Answer:
-41
Step-by-step explanation:
f(x) = 4x + 3 and g(x) = -2x + 5
g(f(5) ) =
First find f(5) = 4(5)+3 = 20+3 = 23
Then find g(23) = -2(23) +5 = -46+5 = -41
hi pls help. pls explain a bit:) thank you
Answer:
i think this is right i’m sorry if not :)
Answer with the explanation step by step
Answer:
The answer is A. [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].
Step-by-step explanation:
To find the difference of this problem, start by simplifying the denominator, which will look like [tex]\frac{3}{x+7}-\frac{42}{(x+7)(x-7)}[/tex]. Next, multiply [tex]\frac{3}{x+7}[/tex] by [tex]\frac{x-7}{x-7}[/tex] to create a fraction with a common denominator in order to subtract from [tex]\frac{42}{(x+7)(x-7)}[/tex]. The problem will now look like [tex]\frac{3}{x+7}*\frac{x-7}{x-7}-\frac{42}{(x+7)(x-7)}[/tex].
Then, simplify the terms in the problem by first multiplying [tex]\frac{3}{x+7}[/tex] and [tex]\frac{x-7}{x-7}[/tex], which will look like [tex]\frac{3(x-7)}{(x+7)(x-7)}-\frac{42}{(x+7)(x-7)}[/tex]. The next step is to combine the numerators over the common denominator, which will look like [tex]\frac{3(x-7)-42}{(x+7)(x-7)}[/tex].
Next, simplify the numerator, and to simplify the numerator start by factoring 3 out of [tex]3(x-7)-42[/tex], which will look like [tex]\frac{3(x-7-14)}{(x+7)(x-7)}[/tex]. Then, subtract 14 from -7, which will look like [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex]. The final answer will be [tex]\frac{3(x-21)}{(x+7)(x-7)}[/tex].
tìm kiếm x y z
x-1/y =1
y-1/z =1
z-1/x =1
y - 1/z = 1 ==> y = 1 + 1/z
z - 1/x = 1 ==> z = 1 + 1/x
==> y = 1 + 1/(1 + 1/x) = 1 + x/(x + 1) = (2x + 1)/(x + 1)
x - 1/y = x - (x + 1)/(2x + 1) = (2x ² - 1)/(2x + 1) = 1
==> 2x ² - 1 = 2x + 1
==> 2x ² - 2x - 2 = 0
==> x ² - x - 1 = 0
==> x = (1 ± √5)/2
If you start solving for z, then for x, then for y, you would get the same equation as above (with y in place of x), and the same thing happens if you solve for x, then y, then z. So it turns out that x = y = z.
please solve this right away!
Answer:
1.432
2. 8978
Step-by-step explanation:
Which angles are adjacent to each other?
Angle CHG and Angle HDL
Angle AEB and Angle DEA
Angle CHG and Angle HCE
Angle JCH and Angle CHG
Please make sure it's correct because one person once tried it and got it wrong..lol.
Answer:
B
Step-by-step explanation:
Adjacent angles must have the same vertex, so if the middle letter of the three letters used to name each of the angles in a pair are not the same, the angles cannot be adjacent.
That eliminates choices A, C, and D.
Answer: B
Look in the picture first below. Each pair of angles with the same vertex marked in blue is a pair of adjacent angles. For two angles to be adjacent angles, they must be next to each other, have the same vertex, and one cannot be inside the other.
Now look in the second picture below. Each pair of angles marked in red is not a pair of adjacent angles. Some of them are not next to each other. Others have one angle inside the other.
Can u please solve this
Answer:
522.5in^3
Step-by-step explanation:
4/3 ×3.14×5^3
4/3×3.14×125
1.33×3.14×125
4.18×125
522.5
Step-by-step explanation:
[tex]v = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3 \times {5}^{3} \\ = 4 \times 125 \\ = 500 {in}^{3} \\ thank \: you[/tex]
Each group of students receives a bag that has 8 red cubes, 2 green cubes, and 10 blue cubes. If each group makes 100 pulls and replaces the cube after each pull, how many times would you expect them to draw a blue cube?
Answer:
50% of the time
Step-by-step explanation:
8+2+10=20
20-10=10
10 is half of 20
Answer:
50
Step-by-step explanation:
First find the probability of drawing a blue
The total number of cubes
8 red cubes, 2 green cubes, and 10 blue cubes = 20 cubes
P(blue) = blue / total = 10/20 = 1/2
Since they are replaced, the probability remains the same
100 draws * P(blue) = 100 * 1/2 = 50
A video game displays 125 frames in 5 seconds on Penelope's computer. What is the rate in frames per second?
A. 23 frames per second
B. 25 frames per second
C. 26 frames per second
D. 24 frames per second
Answer:
[tex] = { \tt{ \frac{125}{5} }} \\ = { \bf{25 \: frames \: per \: second}}[/tex]
Answer:
B. 25 frames per second
Step-by-step explanation:
To find the rate in frames per second, divide the total frames in 5 seconds by 5. This is because 5/5=1 and that way we're finding the frames per (one) second.
Therefore, we have:
[tex]\frac{125}{5}=\boxed{25\text{ frames per second}}[/tex]
In a batch of 120 manufactured machine parts, 3 are found to be defective. At
his rate, how many machine parts would be defective in a batch of 12,000?
Answer:
300
Step-by-step explanation:
3:120 =1:60 ==300:12000
