answer
three
explain hope this helps
Let f (x) = 10/x-4
What is the average rate of change of f (x) from 2 to 8 ?
Enter your response as a decimal.
Answer:
1.875
Step-by-step explanation:
The rate of change is the derivative of the function.
[tex]f(x) = \frac{10}{x-4}\\\\f'(x)=10\times \frac {d}{dx}\frac{1}{x-4}\\\\f'(x)=\frac{-10}{(x-4)^{2}}\\\\f'(2) = \frac{-10}{(2-4)^{2}} =-2.5\\\\f'(8)= \frac{-10}{(8-4)^{2}} =-0.625\\[/tex]
So, the rate of change is
f'(8) - f'(2) = - 0.625 + 2.5 = 1.875
What is the name of a polygon that has three sides and three equal angles
Answer:
equilateral triangle
Step-by-step explanation:
equilateral triangle
A triangle: An equilateral triangle is a regular polygon with three equal side lengths and three equal angles.
If you sleep 6 hours a day every day for a year you are sleeping of every year. If there are 365 days in a year, how
many days per year would you sleep? Simplify your answer and write it as a mixed number.
days
Answer:
Step-by-step explanation:
365 x 24 = 8,760
365 x 6 = 2,190
8,760 - 2,190 = 6,570
6,570 / 24 = 273 3/4
The person sleeps 91 (1/4) days per year.
What is multiplication?Multiplication is the process of adding a number up to a given number.
Given that, the person sleeps 6 hours a day.
The total hours of sleeping over a year are:
365 × 6
= 2190 hours per year
Since there are 24 hours in a day, divide 2190 by 24 to get the answer in days per hour:
2190/24
= 91 (1/4)
Hence, the person sleeps 91 (1/4) days per year.
To learn more about multiplication, click here:
https://brainly.com/question/11527721
#SPJ2
The function below represents the number of zombies, N, where t is the number of years since the zombies gained control of Earth:
N(t) = 300 · 2-t/8
Is this exponential growth or decay?
Answer:
This is decay. The exponent has a negative sign. The reciprocal of 2 is 0.5. So N(t) can be rewritten as 0.5^(t/8). The base is fraction less than 1, which is decay.
Step-by-step explanation:
sample response on edgen 2022
The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be concluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
sub(H,0): Level of math is independent of/dependent on grade level.
sub(H,1): Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.
Honors Math Regular Math General Math
6th Grade
7th Grade
8th Grade
After running an independence test, can it be concluded that level of math is dependent on grade level?
Yes/No
Answer:
use Ma.thway it helps
Step-by-step explanation:
Identify the two pairs of complementary angles in the figure above. Justify your answer.
Answer:
1st pair of complementary angles: ∠c + ∠d
2nd pair of complementary angles: ∠g + ∠h
Step-by-step explanation:
the two solid lines are perpendicular, creating 4 right angles
1st pair of complementary angles: ∠c + ∠d
2nd pair of complementary angles: ∠g + ∠h
If the equation y = |x| is graphed and then
moved up 3 units on the y-axis, what will be
the equation of the new graph?
Answer:
Step-by-step explanation:
The new equation will be
y = abs(x) + 3
I have made a graph to show you this.
The red graph is y = abs(x)
The blue graph is y = abs(x) + 3
You need only look at the point 0,0 to see what happened. On the red graph (0,0) is the lowest point. When you add 3 to get the lowest point, you should notice that the lowest point is now (0,3)
what is the value of b?
Answer:
24
Step-by-step explanation:
2b = b+24
2b-b = 24
b = 24
A regression was run to determine if there is a relationship between hours of tv watched per day (x) and the number of situps a person can do (y).The results of the regression were:y=ax+ba=−1.077b=30.98r2=0.744769r=−0.863Use this to predict the number of situps a person who watches 13.5 hours of TV can do.
Answer:
The number of situps is: 16.4405
Step-by-step explanation:
Given
[tex]y = ax + b[/tex]
[tex]a =-1.077[/tex]
[tex]b=30.98[/tex]
[tex]r^2 = 0.74476[/tex]
Required
Predict y when [tex]x = 13.5[/tex]
In the result, we have:
[tex]y = ax + b[/tex]
[tex]a =-1.077[/tex]
[tex]b=30.98[/tex]
This implies that:
[tex]y = -1.077x + 30.98[/tex]
To make prediction when [tex]x = 13.5[/tex]
We have:
[tex]y = -1.077*13.5 + 30.98[/tex]
[tex]y = -14.5395 + 30.98[/tex]
[tex]y = 16.4405[/tex]
Given that is directly proportional to (p-1)2 and p is always positive, find the
value of p when q = 80 , if 9= 30 when p = 7
A) 4
B) 6
Ch 10.82
Answer:
p = 10.8
Step-by-step explanation:
Given that p is directly proportional to (p-1)² and p is always positive, then;
q = k (p-1)²
If q = 30 and p = 7
30 = k(7-1)²
30 = 6²k
30 = 36k
5 = 6k
k = 5/6
To get p when q = 80
q =k (p-1)²
80 = 5/6((p-1)²
480 = 5(p-1)²
480/5 = (p-1)²
(p-1)² = 96
p-1 = √96
p-1 = 9.8
p = 9.8 + 1
p = 10.8
B) 6
Ch 10.82
What’s the answer and how do you figure these out?
The average number of employees that call in sick for the day over the course of a year is 25. The number of employees that call in sick on 12 days are 25, 10, 16, 39, 27, 25, 32, 25, 25, 22, 28, and 14. Enter the sample mean and the population mean in the boxes
Answer:
sample mean (x with the bar on top) =24
Step-by-step explanation:
Take the mean of all the number of employees but divide by the number of days size: (25+10+16...)/12=25
population mean (mu) =11.52
The same goes for the other one but divide by the population which is 25
Tamika works in a shoe store and is paid a 12%
commission on her sales. In January her sales total
was $3740. To the nearest dollar, how much did
Tamika earn in commission for January?
Explain correctly. No nonsense, please.
Thank you
I NEED HELP ASAP PLEASE
Answer:
A and E
Step-by-step explanation:
B and D is unchangeable, species of bears and types of vegetables that existed in the world never changed.
C only consist of one data, temperature of Chicago at noon yesterday only.
Area of triangle with sides a=8, b= 10, c=7
Answer:
d equal 10 this is the answer
Can someone help with this problem please.
A car is 3 times as old as its tires were when it was as old as the tires Are now.
When it’s tires are as old as the car is now,the car will be a year older than the tires are now.
What are the present ages of car and tires?
Answer:
Present age of the car = 1.5 years and the tires are 0.5 years old.
Step-by-step explanation:
Let the present age of the car be x years and that of the tires be y years.
x = 3y
x = y + 1
3y = y + 1
2y = 1
y = 0.5.
x = 3*0.5 = 1.5.
Help me PLEASEEEEEEEEEEEEE
Answer:
4.0.
Step-by-step explanation:
In sample 1, you do 0.65/1.3 which gets you to 0.5, so then you do the same to the bottom which you also have to divide by 1.3, and 5.2/1.3 is 4.0 or 4.
Answer:
option D. 4.0
Step-by-step explanation:
Mass Volume
Sample 1 0.65 0.5
Sample 2 5.2 x
[tex]\frac{0.65}{5.2} = \frac{0.5}{x}\\\\0.65 \times x = 0.5 \times 5.2\\\\0.65x = 2.6\\\\x =\frac{2.6}{0.65} =4[/tex]
Find the Area of the shaded region. Round your answer to the nearest tenth.
Answer:
210 ft^2
Step-by-step explanation:
The figure is made up of a rectangle 15 ft by 12 ft and a triangle with base 15 ft and height 4 ft.
A = LW + BH/2
A = (15 ft)(12 ft) + (15 ft)(4 ft)/2
A = 180 ft^2 + 30 ft^2
A = 210 ft^2
Answer:
210ft²
Step-by-step explanation:
Step one, find the area of the square. --->
A= bh (Area equals base times the height)
15×12=180
Step two, find the area of the triangle.
A=bh÷2 (Area equals base times the height divided by 2)
4×15= 60÷2= 30
Step three, add the solutions together
180+30=210
Determine whether the following system is consistent or inconsistent and if it is independent or dependent.
Y=2x-3 and 2x-2y=2
9514 1404 393
Answer:
consistent, independent
Step-by-step explanation:
Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...
y = x - 1
The x-coefficients of this and the first equation are different, so the system is consistent and independent.
__
A system is independent if the equations describe different lines.
A system is inconsistent if the equations describe parallel lines.
Here, the different lines are not parallel, so the system is independent and consistent.
what is 731.49 written in standard fotm to it power
On average, there are 177,000 cars on the road every hour in Los Angeles. 1 point
In March 2020, the coronavirus shutdown, resulted in Los Angeles having
80% fewer cars on the road. How many cars were on the road in March
2020 every hour in Los Angeles, after the 80% reduction?
Answer:
Number of cars on road in 2020 = 35,400 car
Step-by-step explanation:
Given;
Number of cars on road = 177,000
Decrease in cars on road in 2020 = 80%
Find:
Number of cars on road in 2020
Computation:
Number of cars on road in 2020 = Number of cars on road[1 - Decrease in cars on road in 2020]
Number of cars on road in 2020 = 177,000[1-80%]
Number of cars on road in 2020 = 177,000[1-0.80]
Number of cars on road in 2020 = 177,000[0.20]
Number of cars on road in 2020 = 35,400 car
find the value of x.
please help! :)
Answer:
x=9
Step-by-step explanation:
please help I'll give brilliantist:)
Help pleaseeeee thanks
Answer:
We know that 3 l 3 = 3.3, so the values of the stem and leaf plot would be;
4 l 8, 9
5 l 1, 6, 8, 8, 9
6 l 8, 9, 9, 9, 9
7 l 0, 2, 2, 2, 5, 5
8 l 0, 9
Hope this helps!
a street light is mounted at the top of a 15-foot pole. A 6-foot tall man walks away from the pole along a straight path. How long is his shadow when he is 40 feet from the pole
Answer:
[tex]x=26.67[/tex]
Step-by-step explanation:
From the question we are told that:
Height of Pole [tex]h_p=15 foot[/tex]
Height of Man [tex]h_m =6ft[/tex]
Distance from Pole [tex]d_p=40ft[/tex]
Generally the equation for similar Property is mathematically given by
[tex]\frac{h_p}{h_m}=\frac{d_p+x}{x}[/tex]
[tex]x=\frac{h_m*(d_p+x)}{h_p}[/tex]
[tex]x=\frac{6*(40+x)}{15}[/tex]
[tex]x=\frac{240+6x}{15}[/tex]
[tex]x=16+0.4x\\x-0.4x=16[/tex]
[tex]x=16\0.6[/tex]
[tex]x=26.67[/tex]
WILL GIVE U BRAINLIEST!!!
What is an alternate exterior angle to angle 2?
A. 7
B. 6
C. 5
D. 4
Answer:
A. 7
Step-by-step explanation:
Alternate exterior angles are formed when we have two parallel lines that are intercepted by a transversal line in such a way that the exterior angles formed is outside the two parallel lines and they alternate each other along the transversal line.
Thus,
Angle 2 is an exterior angle along the transversal line and alternates angle 7, which is another exterior angle.
Therefore, an alternate exterior angle to angle 2 is angle 7.
A two-sample t-test for a difference in means will be conducted to investigate whether the average amount of money spent per customer at Department Store M is different from that at Department Store V. From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40. From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35. Assuming a null hypothesis of no difference in population means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means?
The test statistic is 1.145 for the appropriate test to investigate whether there is a difference in population means.
A test statistic is a numerical value calculated from sample data in hypothesis testing.
Given that
Sample 1: Store M
Sample size, [tex]n_1[/tex] = 35,
Sample mean, [tex]\bar{X_1}[/tex] = 300,
Standard deviation, [tex]s_1[/tex] = 40.
Sample 2: Store V
Sample size, [tex]n_2[/tex] = 40,
Sample mean, [tex]\bar{X_2}[/tex] = 290,
Standard deviation, [tex]s_2[/tex] = 35.
The null hypothesis, [tex]H_o[/tex] : there is no difference in population means, i.e.,
[tex]\mu_1 =\mu_2[/tex].
The alternate hypothesis, [tex]H_1[/tex] : there is a significant difference in population means, i.e.,
[tex]\mu_1 \neq\mu_2[/tex].
Under the null hypothesis, the test statistic is
[tex]t = \dfrac{\bar{X_1}-\bar{X_2}}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]
[tex]= \dfrac{300-290}{\sqrt{\frac{40^2}{35}+\frac{35^2}{40} }}\\=\dfrac{10}{\sqrt{\frac{1600}{35}+\frac{1225}{40} }} \\=\dfrac{10}{\sqrt{45.714+30.625 }} \\=\dfrac{10}{\sqrt{76.339 }}\\=\dfrac{10}{8.737}\\=1.145[/tex]
Hence the test statistic is 1.145.
Learn more about test statistics here:
https://brainly.com/question/34153666
#SPJ12
Let 0 be an angle such that sec0= -13/12 and cot0<0. Find the exact values of tan0 and sin0.
Answer:
tan 0 = -2.4
sin 0 = 0.42
Step-by-step explanation:
sec 0 = -13/12 => cos 0 = -12/13
cot 0 < 0 => tan 0 < 0
so, the angle is on second quadrant
=> tan 0 = -12/5 = -2.4
=> sin 0 = 5/12 = 0.42
Answer:
Solution given;
Sec θ=-[tex]\frac{13}{12}[/tex]
cotθ< 0,
It lies in second quadrant.
where sin and cosec is positive.
Now
[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]
cosθ=[tex]\frac{12}{13}[/tex]
[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]
b=12
h=13
By using Pythagoras law
p=[tex] \sqrt{13²-12²}=5 [/tex]
Now
exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]
since it lies in II quadrant
tan θ=-[tex]\frac{5}{12}[/tex]
and
sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]
since it lies in II quadrant
sin θ=[tex]\frac{5}{13}[/tex]
3X + 2 = 17 how do I show my work for this?
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
3x + 2 = 17
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 2 on both sides: 3x = 15[Division Property of Equality] Divide 3 on both sides: x = 5Answer:
you subtract two both side, then divide three both side, you'll get x = 5.
Step-by-step explanation:
3x + 2 = 17
(3x + 2) -2 = (17) -2. First, you subtract 2 for both sides
3x = 15
(3x)/2 = (15)/2. Second, you divide 3 both side
x = 5. Last, you get your answer