Answer:
h(2x)=2x^0
therefore ans.1
A tree with a height of 8 ft casts a shadow 14 feet long on the ground. How high is another tree that casts a shadow which is 21 feet long?
Answer:
12
Step-by-step explanation:
Do 8 divided by 14 =0.571428571
times that by 21 = 12
Please help is for now 6
Answer:
-2g-11
Step-by-step explanation:
2(3g-4)-(8g+3)
6g-8-8g-3
-2g-11
Help please thank you very much
Answer: [tex]2\sqrt{7}[/tex]
When writing this on a keyboard, you would say 2*sqrt(7)
========================================================
Explanation:
The formula we'll use is
A = 0.5*p*q*sin(R)
where R is the angle between sides p and q.
The diagram shows that p = x+4 is opposite angle P, and q = x is opposite angle Q. Convention usually has the uppercase letters be angles, and the lowercase letters as the sides.
Plug in the given values and simplify to get the following
A = 0.5*p*q*sin(R)
A = 0.5*(x+4)*x*sin(60)
A = 0.5*(x+4)*x*sqrt(3)/2 ..... use the unit circle
A = 0.25*(x^2+4x)*sqrt(3)
A = (0.25x^2+x)*sqrt(3)
Set this equal to the given area of A = sqrt(27) and solve for x
A = (0.25x^2+x)*sqrt(3)
(0.25x^2+x)*sqrt(3) = A
(0.25x^2+x)*sqrt(3) = sqrt(27)
(0.25x^2+x)*sqrt(3) = 3*sqrt(3) .... see note1 at the very bottom
0.25x^2+x = 3
(1/4)x^2+x = 3
x^2+4x = 12 .... see note2 at the very bottom
x^2+4x-12 = 0
(x+6)(x-2) = 0
x+6 = 0 or x-2 = 0
x = -6 or x = 2
A negative side length doesn't make sense, so we ignore x = -6. The only solution here is x = 2.
Since x = 2, this means we have the following side lengths so far
p = RQ = x+4 = 2+4 = 6q = PR = x = 2Now apply the law of cosines to find the missing side.
r^2 = p^2 + q^2 - 2*p*q*cos(R)
r^2 = 6^2 + 2^2 - 2*6*2*cos(60)
r^2 = 36 + 4 - 24*1/2
r^2 = 40 - 12
r^2 = 28
r = sqrt(28)
r = sqrt(4*7)
r = 2*sqrt(7)
Side PQ is exactly 2*sqrt(7) units long
This approximates to 2*sqrt(7) = 5.2915
------------------------------------
Footnotes:
Note1: sqrt(27) = sqrt(9*3) = sqrt(9)*sqrt(3) = 3*sqrt(3)Note2: I multiplied both sides by 4 to clear out the fractionThe mean temperature for the first 7 days in January was 3 °C.
The temperature on the 8th day was 7 °C.
What is the mean temperature for the first 8 days in January?
Answer:
3.5 °C
Step-by-step explanation:
To find the answer multiply 3 and 7 to get the sum of the temperatures in the first seven days.3 x 7 = 21
Add 21 and 8 together to get the sum of the temperatures in the first 8 days.21 + 8 =29
Divide 29 by 8 to get the mean temperature for the first eight days.29 ÷ 8 = 3.5
3.5 °C
Answer:
3.5⁰ C is the mean temperature for the first 8 days in January.
Which phrase represents the expression 4 + 3n?
a: n-18
b: 3n-6
c: 3n-18
Answer:
hope this helps
Step-by-step explanation:
the answer is 3n+4
Area of shaded region
Answer:
what are you asking
Step-by-step explanation:
Which statements about the figure must be true? Select
three options.
Answer:
Picture?
Step-by-step explanation:
You gave us nothing to work with
Simplify 3 Square root of 3 multiplied by 6 square root 6
Answer:
54√2
Step-by-step explanation:
3√3 * 6√6
number x number = 6 * 3 = 18
root * root = √18 = √3^2 *.2 = 3√2
18 * 3 = 54
54√2
Help please I need it:
Answer:
Step-by-step explanation:
The number of sandwiches sold: 73
The cost to make one sandwich: S
The profit the band earns from one sandwich: 0.2S
The amount of money that the band recieves for selling one sandwich:
S + 0.2S
Which is the graph of g(x) =[x+3]?
Answer:
B
Step-by-step explanation:
If a seed is planted, it has a 75% chance of growing into a healthy plant.
If 6 seeds are planted, what is the probability that exactly 4 don't grow?
Answer:
It is binomial:
p= 0.75 = 75%
1-p = 0.25 = 25%
N = 10
k=7
"seven successes in 10 trials"
(10 choose 7) (0.75)^7 ( 0.25)^3 =
(10*9*8 / 3*2) * (0.75)^7 ( 0.25)^3 =
(5*3*8) (0.75)^7 ( 0.25)^3
120 (0.75)^7 ( 0.25)^3
= 0.25028228759765625
or just over 25%
Step-by-step explanation:
What is the x-intercept of the continuous function
shown in the table?
O (0, -8)
0 (0, 2)
0 (-8,0)
O (2,0)
Someone help :)
the answer is 2,0
Step-by-step explanation:
i got it right according to my teacher
The x-intercept of the continuous function shown in the table is, (2, 0)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Slope = -7+8/1
slope=1
You can see the values of x and f(x) from the given table.
An ordered pairs is in the form of (x, f(x)).
By x-intercept definition;
at x =2
⇒ f(x) = 0
Therefore, the x-intercept of the continuous function shown in the table is, (2, 0)
To learn more on slope of line click:
https://brainly.com/question/16180119
#SPJ7
How long will it takes to ski a distance of 25 miles at a constant speed of 5 miles per 30 minutes?
Answer:
2 hours and 30 minutes
Step-by-step explanation:
25/5 = 5 Divide to find out how many fives are there in 25.
5 x 30 = 150 minutes (multiply 5 by 30 to find out how many minutes)
150/60 = 2.5 hours or in other words, 2 hours and 30 minutes ( Convert the minutes into hours by dividing by 60)
Find the length of side x in
Answer: x=3
Step-by-step explanation:
from figure
=>tan45= x/3
=>x= 3tan45
=>x=3
Answer:
Step-by-step explanation:
here hypotenuse is x
since it is an isosceles triangle the other side of the triangle also must 3.
using pythagoras theorem
a^2 + b^2 = c^2
3^2 + 3^2 = x^2
9 + 9 = x^2
18 = x^2
[tex]\sqrt{18} = x[/tex]
help with this please :(
I don't like the ones where we have to approximate, but you did say please.
That's a right triangle, relative to x we're give the opposite leg 6.1, and the adjacent leg 5.1, so
tan x = opposite/adjacent = 6.1/5.1
x = arctan (6.1/5.1)
x ≈ 50.1°
Answer: 50.1
We leave out the degree sign because it's not part of x -- it's written separately at L.
A tire on a car has an outside diameter of 3 6.90 inches what angle in radians does the tire turn while traveling 1 mile
Answer:
well... uhm...its...uhm... 39.9
Step-by-step explanation:
can anybody help with this question or at least help me solve one thanks !!!!!
Answer:
Step-by-step explanation:
1) the triangle on the right is half of an equilateral one, so the minor leg is 9
the left one has the two legs congruent
so we have
2x^2 = 81
x^2 = 81/2
x = 9/√2 = 9/2 √2 (at the numerator)
2) the top triangle has the congruents leg
hypotenuse^2 = 2(6√6)^2
hypotenuse^2 = 2(216)
hypotneuse^2 = 432
hypotenuse = √2^4 * 3^2 * 3
hypotenuse = 12√3
the triangle in the bottom is half of the an equilateral one, so
x = 12√3 * 2 = 24√3
3) the left triangle has congruent legs
7^2 = leg^2 + leg^2
49 = 2leg^2
leg^2 = 49/2
leg = 7/√2 = (7√2)/2
the right triangle is half of an equilateral one
x = 7√2/2 * √3 = 7/2 √6 (at the numerator)
4) the rifht triangle has two congruent legs
hy^2= 2(7√6)^2
hy^2 = 2(294)
hy^2 = 588
hy = √2^2 * 7^2* 3
hy = 14√3
the triangle on the left is half of an equilteral one: so
x = 14
help me please fast!!!!
Answer:
6: 15
Step-by-step explanation:
When finding the ratio of anything, you must count each side.
Help me plz I’m too slow for this
Answer:
160 units²
Step-by-step explanation:
Surface area of the square pyramid = a² + 2al
Where,
a = side length of the square = 8
l = slant height of the triangular face = 6
Plug in the values
Surface area of the square pyramid = 8² + 2*8*6
= 64 + 96
= 160 units²
Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary. Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below.
Performance 59 63 65 69 58 77 76 69 70 64
Attitude 72 67 78 82 75 87 92 83 87 78
Be sure to use the appropriate explanatory and the appropriate response variable.
a. y = 92.3 - 0.669x
b. y = 100.3 - 0.453x
c. y = 11.7 + 1.02x
d. y = 2.81 + 1.35x
e. y = -47.3 + 2.02x
Answer:
The answer is "choice c".
Step-by-step explanation:
Below, we shall find the line equation, dissociation for both the management's behavior and achievement.
Here, attitudes are the response variable while performance seems to be the predictor as attitude is achievement dependant.
If Y indicates the attitude while X relates to workers' performance.
Let's describe the data like:
[tex]y=a+bx+e[/tex]
Now we get the estimates of e via the least quadratic method, – i.e., by reducing the number of segments.
[tex]S=\sum e_{i}^{2}=\sum {(y_{i}-a-bx_{i})^{2}}[/tex]
minimize S to obtain the estimates of a and b as:
[tex]\hat{b}=\frac{\sum{(y_{i}-\bar{y})(x_{i}-\bar{x})}}{\sum{(x_{i}-\bar{x})^{2}}}\\\\\hat{a}=\bar{y}-\hat{b}\bar{x}[/tex]
So,
[tex]a=11.7b=1.02[/tex]
Equation:
[tex]Y=11.7+1.02x[/tex]
Write a story to match the equation x + 2 1/2 = 10 . Explain what x represents in your story. Solve the equation. Explain or show your reasoning.
x + 2 1/2 = 10
x + 0.5 = 10
x = 9.5
Someone donated 2 toys and one-half of a toy. Someone donated a random out of toys and we had 10 toys in total.
x equal that mystery amount of toys that were dontated.
What are the domain and range of the function hx) = 5x+3+1?
-10
8
2.
-10
6
4
-8
10
- 2
6
s
-10
O domain: all real numbers greater than 1
range: all real numbers
O domain: all real numbers
Step-by-step explanation:
domain : i think is x > 4/3
range : y >4
Explain how System becomes equivalent to System 2.
System 1:
Ax + By = C
LX + My = N
System 2:
Ax + By = C
(A-L)X+(B-M)y=C-N
O The first equation in System 1 is the sum of the equations in System 2. The second equation in System 2 is the first equation in System 2.
O The first equation in System 1 is the difference of the equations in System 2
The second equation in System 1 is the first equation in System 2
© The second equation in System 2 is the sum of the equations I System 1. The first equation in System
is the first equation in System 1.
• The second equation in System
the difference of the equations in System 1. The first equation in System 2 is the first equation in System
9514 1404 393
Answer:
D
Step-by-step explanation:
The first equation of System 2 is the first equation of System 1.
The second equation has an x-coefficient of (A-L). The coefficients of x in System 1 are A and L, so (A-L) is their difference. The second equation of System 2 is the difference of the equations in System 1.
__
This is described by Choice D:
The second equation in System 2 is the difference of the equations in System 1. The first equation in System 2 is the first equation in System 1.
Not sure how to make an equation for this problem. The equation I put was 86 - 8 = b x 2 = 156. But, it is starting that is incorrect. How do I go about this problem?
Answer:
b/2 + 8 = 86
b = 156
Step-by-step explanation:
Half the comics is b/2
b/2 + 8 = 86
Subtract 8 from both sides
b/2 = 78
multiply both sides by 2
b = 156
Mike is building a model of a classic car: a '67 Chevy Impala. The scale is 1 in : 48 in. The actual length of the car is 213.2 inches. How long will the model be? Round to the nearest tenth.
An electronics firm claims that the proportion of defective units of a certain process is 5%. A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot. On a particular occasion, the bury found 5 items defective. a) What is the probability of this occurrence, given that the claim of 5% defective is correct
Answer:
0.0006 = 0.06% probability of this occurrence
Step-by-step explanation:
For each unit, there are only two possible outcomes. Either it is defective, or it is not. The probability of an unit being defective is independent of any other unit, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
An electronics firm claims that the proportion of defective units of a certain process is 5%.
This means that [tex]p = 0.05[/tex]
A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot.
This means that [tex]n = 15[/tex]
a) What is the probability of this occurrence?
Probability of 5 defective items, whch is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.05)^{5}.(0.95)^{10} = 0.0006[/tex]
0.0006 = 0.06% probability of this occurrence
Are 1/3 and 3/6 equal equivalent fractions?
WILL MARK YOU IF YOU HELP ME PLEASE!!
Answer:
84
Step-by-step explanation:
180-72-24
so the answers is 84
Answer:
84
Step-by-step explanation:
In all triangles, once the angles are added up the total will be 180° and so in this case first add then subtract.
72+24=96
180-96=84
Can someone please help me thank you! will mark brainliest!
Answer:
Step-by-step explanation:
Every triangle's angles MUST add up to 180. Therefore, 43 + 43 + (6-8x) must be equal to 180. So:
43 + 43 + (6 - 8x) = 180
86 + (6 - 8x) = 180
6 - 8x = 94
-8x = 88
x = -11
if the coordinates are ( -1 , 5) and moved 9 units to the left what is the final answer?
Answer:
Directions: Write the new coordinates for each point or figure.
Sample Question:
Point F has the coordinates (-9,6). What are the coordinates of its image point after the translation of six units down and three units to the left?
Answer:
The coordinates of its image point after the translation are (-12, 0).
Explanation: When you look at an ordered pair the x number comes first, followed by the y number (x,y). Moving a point left or right changes the x number. Moving a point up or down changes the y number. Left and down require subtraction, while right and up require addition. In the sample, we had to go 3 units to the left, -9 - 3 = -12. We also had to go 6 units down, so 6 - 6 = 0.
Point Q has the coordinates (9,5). What are the coordinates of its image point after a translation of six units up and three units to the right?
Point P has the coordinates (3,4). What are the coordinates of its image point after a translation of 8 units down and 5 units to the left?
Point Z has the coordinates (10,7). What are the coordinates of its image point after a translation of six units down and three units to the right?
Point Y has the coordinates (0,-4). What are the coordinates of its image point after a translation of 10 units up and 3 units to the left?
Point X has the coordinates (3,-8). What are the coordinates of its image points after a translation of 11 units down and 10 units to the right?
Answer:
(-10,5)
Step-by-step explanation: