Answer:
7
Step-by-step explanation:
Your knowledge of multiplication tables tells you ...
42 = 6·7
35 = 5·7
The common factor is 7.
_____
You can use Euclid's algorithm to find the GCF. Find the remainder when the larger number is divided by the smaller. If that remainder is zero, the smaller number is the GCF. If the remainder is not zero, start again using the smaller number and the remainder.
42 ÷ 35 = 1 r 7 . . . the remainder is not 0
35 ÷ 7 = 5 r 0 . . . . the GCF is the divisor, 7.
Please Help! what is g(x)?
Answer:
The answer is option B.
g(x) = - x²
Hope this helps you
#2 find domain and range using interval notation
Hey there! :)
Answer:
D: [-3, 1).
R: [ -8, 1].
Step-by-step explanation:
Examine the graph. Notice there is a closed and open circle.
Closed circles require the ] bracket to be used, while:
Open circles require the ) bracket. Therefore:
Domain:
The domain is from x = -3 to x = 1. Therefore:
D: [-3, 1).
The range, or y values in this function are from -8 to 1. Therefore:
R: [ -8, 1].
*** The range for this graph can be tricky. Remember, in this instance the highest point of the graph was at x = 0, not at x = 1 where the graph ended.
The surface area of a cone is found using the formula SA = Pir2 + Pirl. Describe what each part of the formula represents and how these parts are used to calculate the surface area.
Answer:
hope it will help uh.....
Answer: the first part is the area of the base: πr²
You take the radius given, (or half of the diameter given) square that and multiply by the value of Pi, commonly 3.14 or 3.1416
The second part is the area of the lateral surface. πrh That is the radius times π times the height of the cone.
Step-by-step explanation:
The formula as shown is confusing to me. It is better to show exponents with superscript if possible, or use the caret ^ [shift + 6] on a keyboard before the 2.
The second part is the area of the lateral surface. πrh That is the radius times π times the height of the cone. (using h instead of l seems less confusing as lower case L looks like 1 in some fonts) But people do use πrl I realize.
Add the two surface areas together to get the total surface area of the cone.
the least integer of a set of consecutive integers _25 if the sum of these integers is 26 how many integers are in this sets
Answer:
1
Step-by-step explanation:
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the derivative of the function.
y = 81 arcsin x 9 − x 81 − x2.
Answer:
[tex]\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x[/tex]
Step-by-step explanation:
This derivative consist in the sum of three functions: [tex]f(x) = 81\cdot \sin^{-1} x^{9}[/tex], [tex]g(x) = - x^{81}[/tex] and [tex]h(x) = - x^{2}[/tex]. According to differentiation rules, the derivative of a sum of functions is the same as the sum of the derivatives of each function. That is:
[tex]\frac{d}{dx} [f(x)+g(x) + h(x)] = \frac{d}{dx} [f(x)]+\frac{d}{dx} [g(x)] +\frac{d}{dx} [h(x)][/tex]
Now, each derivative is found by applying the derivative rules when appropriate:
[tex]f(x) = 81\cdot \sin^{-1} x^{9}[/tex] Given
[tex]f'(x) = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}}[/tex] (Derivative of a arcsine function/Chain rule)
[tex]g(x) = - x^{81}[/tex] Given
[tex]g'(x) = -81\cdot x^{80}[/tex] (Derivative of a power function)
[tex]h(x) = - x^{2}[/tex] Given
[tex]h'(x) = -2\cdot x[/tex] (Derivative of a power function)
[tex]\frac{d}{dx}[f(x)+g(x)+h(x)] = \frac{9\cdot x^{8}}{\sqrt{1-x^{18}}} - 81\cdot x^{80}-2\cdot x[/tex] (Derivative for a sum of functions/Result)
Find the perimeter and the area of each shape. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
Circumference: 12π + 8 cm,
Area: 48 ( cm )^2
Step-by-step explanation:
This figure is composed of circles, squares, and semicircles. As you can see, the squares indicate that each semicircle should have ( 1 ) the same area, and ( 2 ) the same length ( circumference ). It would be easier to take the circumference of the figure first, as it is composed of arcs part of semicircles the same length.
Circumference of 1 semicircle = [tex]\frac{1}{2}[/tex]( πd ) = [tex]\frac{1}{2}[/tex]π( 4 ) = 2π ( cm )
Circumference of Figure (composed of 6 semicircles + 2 sides of a square),
We know that 6 semicircles should be 6 [tex]*[/tex] 2π, and as the sides of a square are equal - if one side is 4 cm, the other 3 are 4 cm as well. Therefore the " 2 sides of a square " should be 2
Circumference of Figure = 6 [tex]*[/tex] 2π + 2 = 12π + 8 ( cm )
_____________
The area of this figure is our next target. As you can see, it is composed of 3 semicircles, and the area of 3 semicircles subtracted from the area of 3 squares. Therefore, let us calculate the area of 1 semicircle, and the area of 1 square first.
Area of 1 semicircle = 1/2π[tex]r^2[/tex] = 1/2π[tex](2)^2[/tex] = 2π ( cm ),
Area of 1 square = ( 4 cm )( 4 cm ) = 16 ( [tex]cm^2[/tex] )
So, the area of the figure should be the following -
Area of Figure = 3 [tex]*[/tex] 2π + 3( 16 - 2π ) = 48 ( cm )^2
Lyme disease is an inflammatory disease that results in a skin rash and flulike symptoms. It is transmitted through the bite of an infected deer tick. The following data represent the number of reported cases of Lyme disease and the number of drowning deaths for a rural county.
Cases of Lyme Disease Drowning Deaths Month
2 0 J
1 1 F
3 2 M
4 1 A
5 3 M
1 5 J
2 2 J
1 3 A
6 3 S
5 3 O
4 1 N
1 0 D
Requried:
a. Draw a scatter diagram of the data.
b. Determine the linear correlation coefficient between Lyme disease and drowning deaths.
c. Does a linear relation exist between the number of reported cases of Lyme disease and the number of drowning deaths?
Answer:
Step-by-step explanation:
Let cases of Lyme disease = x
x = 2, 1, 3, 4, 5, 1, 2, 1, 6, 5, 4, 1
[tex]\sum x = 35[/tex]
[tex]\sum x^2 = 139[/tex]
y = 0, 1, 2, 1, 3, 5, 2, 3, 3, 3, 1, 0
[tex]\sum y = 24[/tex]
[tex]\sum y^2 = 72[/tex]
[tex]\sum xy = 55[/tex]
[tex]S_{xx} = \sum x^2 - (\sum x)^2/n\\S_{xx} = 139 - 35^2/12\\S_{xx} = 36.92\\S_{yy} = \sum y^2 - (\sum y)^2/n\\S_{yy} = 72 - 24^2/12\\S_{yy} = 24[/tex]
[tex]S_{xy} = \sum xy - ( \sum x \sum y)/n\\S_{xy} = 55 - (35*24)/12\\S_{xy} = -15[/tex]
b) Linear correlation between Lyme disease and drowning deaths.
[tex]r = \frac{S_{xy}}{\sqrt{S_{xx}S_{yy}} }[/tex]
r = -15/ √(24*36.92)
r = -0.504
Convert.
5 days =
lao
hours
Answer:
120 Hours
Step-by-step explanation:
24 hours in a day
5 days
24 x 5 = 120
The data is given as follow. xi 2 6 9 13 20 yi 7 18 9 26 23 The estimated regression equation for these data is = 7.6 + .9x. Compute SSE, SST, and SSR (to 1 decimal). SSE SST SSR What percentage of the total sum of squares can be accounted for by the estimated regression equation (to 1 decimal)? % What is the value of the sample correlation coefficient (to 3 decimals)?
Answer:
✓SSE = 127.3
✓SST = 281.2
✓SSR = 153.9
✓percentage of the total sum of squares = 54.73%
✓The value of the sample correlation coefficient= 0.7398
Step-by-step explanation:
Given:
xi :2 6 9 13 20
yi:7 18 9 26 23
The given regression equation = 7.6 + 0.9 x.
we need to calculate the required SSE, SST and SSR , after this The percentage of total sum of squares can be computed. To do this we need to find the square difference between the actual value of y and average value of y, also the difference between actual value and predicted y value.
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION.
Refer to the following partial ANOVA results from Excel (some information is missing).
Source of Variation SS df MS F
Between groups 210.2778
Within groups 1483 74.15
Total 2113.833
The number of treatment groups is:_______.
a- 4
b- 3
c- 2
d- 1
Answer:
a) 4
Step-by-step explanation:
Take the equation:
x + 1483 = 2113.833
Solve for x:
x = 2113.833 - 1483
x = 630.833
To find df, take the equation:
[tex]\frac{x}{y} = 210.2778[/tex]
Where x = 630.833
[tex] \frac{630.833}{y} = 210.2778 [/tex]
Solve for y:
[tex] y = \frac{210.2778}{630.833} [/tex]
[tex] y = 2.9999 [/tex]
y ≈ 3
Take number of treatments = k
Degrees of freedom, df, of numberof treatments = k - 1
Therefore,
Where df = 3, we have:
k - 1 = 3
Solve for k:
k = 3 + 1
k = 4
The number of treatment groups is 4
The number of treatment groups is (a) 4
From the partial ANOVA results, we have:
SS total = 2113.833SS within = 1483MS between = 210.2778Start by calculating the SS between using the following formula
SS between= SS total - SS within
So, we have:
SS between = 2113.833-1483
SS between = 630.833
Next, calculate the degrees of freedom (df) using:
df = SS between / MS between
So, we have:
[tex]df = \frac{630.833}{210.2778}[/tex]
Divide
[tex]df = 2.99999809775[/tex]
Approximate
[tex]df = 3[/tex]
The number of treatment groups (n) is then calculated using:
[tex]n = df + 1[/tex]
This gives
[tex]n = 3+ 1[/tex]
Add 3 and 1
[tex]n = 4[/tex]
Hence, the number of treatment groups is (a) 4
Read more about ANOVA results at:
https://brainly.com/question/15394749
How many 5 letter “words” can you create using letters from the word SURVEY if no letter can be used more than once? (Note: the “words” can be any arrangement of letters)
Answer:
720 words
Step-by-step explanation:
There are 6 letters in the word SURVEY and no repeat letters. There are 6 choices for the first letter, 5 for the second and so on until we have 2 choices for the last letter so the answer is 6 * 5 * 4 * 3 * 2 = 720.
Evaluate
[tex]lim \: \frac{ \frac{1}{ \sqrt{x} } - 1}{ \sqrt{x} - 1} \: as \: x \: approaches \: 1[/tex]
Answer:
-1
Step-by-step explanation:
In many cases, the simplified expression is not undefined at the point of interest.
[tex]\dfrac{\left(\dfrac{1}{\sqrt{x}}-1\right)}{\sqrt{x}-1}=\dfrac{\left(\dfrac{1-\sqrt{x}}{\sqrt{x}}\right)}{\sqrt{x}-1}=\dfrac{-1}{\sqrt{x}}[/tex]
This can be evaluated at x=1:
-1/√1 = -1
Then, the limit is ...
[tex]\boxed{\lim\limits_{x\to 1}\dfrac{\left(\dfrac{1}{\sqrt{x}}-1\right)}{\sqrt{x}-1}=-1}[/tex]
__
A graph confirms this conclusion.
Identify the function value which will be used for M,, the maximum function value on the i, j - th rectangle.
a. f (xi-1»Y;-1)
b. f (x-1,Y;)
c. f(x,y;-))
d. f(x;,y;)
e. None of these
Answer:
A.
Step-by-step explanation:
A. i just took the test
Please help me......
Answer:
84cm^2
Step-by-step explanation:
A parallelogram is just like a rectange. So, that's how you find the area: length times width.
So we know the width is 7 cm and the length is 12 cm. We multiply them to get 84cm^2
Answer:
84 cm^2
Step-by-step explanation:
area of a parallelogram is base x height
so, the base is 12 cm and the height is 7 cm
that means the area will equal (12 cm)(7 cm)
12 times 7=84 cm^2
therefore, the area of this parallelogram is 84 cm^2
Use cylindrical coordinates to calculate the volume above the xy-plane outside the cone z^2 = x^2 + y^2 and inside the cylinder x^2 + y^2 = 4
Answer:
volume of xy-plane outside the cone = 16π/3
Step-by-step explanation:
using cylindrical coordinates
z² = x² +y² =====>z²=r²=====>z=r
x² + y² =4 ====>r = 2
So, the volume ∫∫∫dV equal
∫(θ = 0 to 2π) ∫(r = 0 to 2) ∫z=0 to r) 1 x (r dz dr dθ) via cylindrical coordinates
= ∫(θ = 0 to 2π) ∫(r = 0 to 2) r² dr dθ
= ∫(θ = 0 to 2π) (1/3)r³ {for r = 0 to 2} dθ
= 2π x 8/3
= 16π/3
Scientists rely on which of the following to provide critical feedback when revising scientific explanation?
A) Null Hypothesis
B) Dogma
C) Opinion
D) Peer review
Answer:
D) Peer review
Step-by-step explanation:
Peer review aims at reviewing a scientific work either publication, research journal or ideas by a group of other scholar in the field. By doing so; Peer review helps to redefine the content of the research and ensures its originality before such can be published. Also; another significant purpose of Peer review as it provide critical feedback when revising scientific explanation is to help ameliorate the quality of the documents, supply suggestions, and also focuses on pointing out mistakes and errors where needed prior to the publication time.
please ansqwer quik thanks!!!!!!
Answer:
8
Step-by-step explanation:
In a simple linear regression analysis the quantity that gives the amount by which the dependent variable changes for a unit change in the independent variable is called the
Answer:
Slope of the regression line
Step-by-step explanation:
The slope of the regression line including the intercept shows the linear relationship between two variables, and can also therefore be utilized in estimating an average rate of change.
The slope of a regression line represents the rate of change in the dependent variable as the independent variable changes because y- the dependent variable is dependent on x- the independent variable.
please helpppp As soon as possible
Answer: 4 pairs
Step-by-step explanation:
121-16=105. However, 121 can be made by squaring -11 or 11. 16 can be made by squaring 4 or -4. Thus, the choices are 11,4 11,-4 -11,4 -11,-4
A simple random sample of size nequals200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers surveyed, 106 responded that they did. Determine if more than half of all drivers drive a car made in this country at the alpha equals 0.05 level of significance. Complete parts (a) through (d). (a) Determine the null and alternative hypotheses. Upper H 0: ▼ sigma mu p ▼ not equals less than equals greater than 0.5 Upper H 1: ▼ p mu sigma ▼ less than greater than not equals equals 0.5 (b) Calculate the P-value. P-valueequals nothing (Round to three decimal places as needed.) (c) State the conclusion for the test. Choose the correct answer below. A. Do not reject Upper H 0 because the P-value is greater than the alphaequals0.05 level of significance. B. Do not reject Upper H 0 because the P-value is less than the alphaequals0.05 level of significance. C. Reject Upper H 0 because the P-value is less than the alphaequals0.05 level of significance. D. Reject Upper H 0 because the P-value is greater than the alphaequals0.05 level of significance. (d) State the conclusion in context of the problem. There ▼ is not is sufficient evidence at the alpha equals 0.05 level of significance to conclude that more than half of all drivers drive a car made in this country. Click to select your answer(s).
Answer:
Explained below.
Step-by-step explanation:
The information provided is:
n = 200
X = 106
α = 0.05
The sample proportion is:
[tex]\hat p=\frac{X}{n}=\frac{106}{200}=0.53[/tex]
(a)
A hypothesis test is to performed to determine whether more than half of all drivers drive a car made in this country.
The hypothesis is:
H₀: The proportion of drivers driving a car made in this country is less than or equal to 50%, i.e. [tex]\mu_{p}\leq 0.50[/tex]
Hₐ: The proportion of drivers driving a car made in this country is more than 50%, i.e. [tex]\mu_{p}> 0.50[/tex]
(b)
Compute the value of the test statistic:
[tex]Z=\frac{\hat p-\mu_{p}}{\sqrt{\frac{\mu_{p}(1-\mu_{p})}{n}}}[/tex]
[tex]=\frac{0.53-050}{\sqrt{\frac{0.50(1-0.50)}{200}}}\\\\=0.8485\\\\\approx 0.85[/tex]
Compute the p-value as follows:
[tex]p-value=P(Z_{0.05}>0.85)\\=1-P(Z_{0.05}<0.85)\\=1-0.80234\\=0.19766\\\approx 0.198[/tex]
*Use a z-table.
Thus, the p-value of the test is 0.198.
(c)
Decision rule:
Reject the null hypothesis if the p-value is less than the significance level.
p-value = 0.198 > α = 0.05
The null hypothesis will not be rejected.
The correct option is (A).
(d)
Conclusion:
There is not enough evidence at 0.05 level of significance to support the claim that the proportion of drivers driving a car made in this country is more than 50%.
What is the greatest common factor of 44 and 47?
Answer:
1
Step-by-step explanation:
To get the GCF of 44 and 47, factor each value,then we choose copies of factors and multiply them.
Which benefits do employers commonly offer to full-time employees? 401(k) plan free gasoline health insurance life insurance paid vacation rent
Answer:
401k, health insurance, life insurance, paid vacation
Step-by-step explanation:
The benefit do employers commonly offer to full-time employees should involved the 401k, health insurance, life insurance, paid vacation.
Benefits made to employees:When the employees are doing full time job so the company gives the following benefits:
heath insurancePaid vacation. Life insurance401 (k) PlanThese benefits motivates the employees to stay longer with the organization and be effective in the process which they deal with.
learn more about insurance here: https://brainly.com/question/24461491
PLZ HELP WILL GET BRAINLIEST! In the year 2005, the average cost of a car could be modeled by the equation C= -15x2 + 20x - 3 where x is the number of years since 2005. By the year 2010 the average cost had changed, and the equation could be modeled by C= -10x2 + 30x - 2. Find the difference in average cost equation for cars between 2005 and 2010.
Explanation:
Plug x = 0 into the first equation to find that C = -3. We use x = 0 since 0 years have passed by (the starting point is 2005 for this equation).
Now plug x = 0 into the second equation. The starting point is now 2010 which explains why we use the same x value, just for a different equation. You should get C = -2 here.
The difference from C = -3 to C = -2 is 1, as this is the distance between the two values.
Chances are C is measured in thousands of dollars, so C = 1 represents an average cost of 1000 dollars. Though your teacher never mentions "in thousands of dollars", so it's probably best to stick to 1 instead of 1000. I would ask your teacher to clarify.
10x - 8y = 40
5x - 2y = 40
What is the value of y in the (x, y) solution to the
system of equations shown above?
Answer: 10
Step-by-step explanation:
Step-by-step explanation:
10x-8y = 40 (1)
5x-2y= 40 (2)
multiply (2) by -2 then add to (1) to get rid of x
-10x+4y+10x-8y = 40+ (-80)
-4y = -40
4y = 40
y= 40/4
y = 10
the answer is 10
[tex]f(x) = {x}^{2} - 4[/tex]
for all instances of
[tex]x \leqslant 0[/tex]
a) show that f has an inverse function
[tex] {f}^{- 1} [/tex]
b) find
[tex]dom( {f}^{ - 1} ) \: and \: ran( {f}^{ - 1} )[/tex]
c) find
[tex] {f}^{ - 1} (x)[/tex]
Given function [tex]f(x)=x^2-4[/tex] find its inverse by substituting x for f(x) and then solving for f(x).
[tex]x=f(x)^2-4\implies f(x)^{-1}=\sqrt{x+4}[/tex]
Where [tex]x+4>=0[/tex] for x to be real.
So solve the inequality and you will obtain the domain:
[tex]x+4>=0\implies x>=-4\implies x\in[-4,+\infty)[/tex].
Range is equal to the range of square root function,
[tex]y\in[0, +\infty)[/tex].
Hope this helps.
Which of the following are solutions to the equation below?
Check all that apply.
x^2 + 3x - 18 = 0
Help ASAP
Answer: b & c
Step-by-step explanation: a p e x 2020
Compare the function ƒ(x) = –x2 + 4x – 5 and the function g(x), whose graph is shown. Which function has a greater absolute maximum (vertex)? Question 4 options: A) g(x) B) g(x) and ƒ(x) have equal absolute maximums. C) ƒ(x) D) There isn't enough information given.
Answer:
A) g(x) has a greater absolute maximum.
Step-by-step explanation:
Given graph of g(x) which is a Parabola
1. Opens downwards
2. The absolute maximum (vertex) is at around (3.5, 6)
i.e. value of absolute maximum is 6.
Another function:
[tex]f(x) =-x^{2}+4x-5[/tex]
Let us convert it to vertex form to find its vertex.
Taking - sign common:
[tex]f(x) =-(x^{2}-4x+5)[/tex]
Now, let us try to make it a whole square,
Writing 5 as 4+1:
[tex]f(x) =-(x^{2}-4x+4+1)\\\Rightarrow f(x) =-((x^{2}-2 \times 2\times x+2^2)+1)\\\Rightarrow f(x) =-((x-2)^{2}+1)\\\Rightarrow f(x) =-(x-2)^{2}-1[/tex]
Please refer to attached graph of f(x).
We know that, vertex form of a parabola is given as:
[tex]f (x) = a(x - h)^2 + k[/tex]
Comparing the equations we get:
a = -1 (Negative value of a means the parabola opens downwards)
h = 2, k = -1
Vertex of f(x) is at (2, -1) i.e. value of absolute maximum is -1
and
Vertex of g(x) is at (3.5, 6)
i.e. value of absolute maximum is 6.
Hence, correct answer is:
A) g(x) has a greater absolute maximum.
Answer:
g(x) has a greater absolute maximum.
Determine the domain and range of this,
x²+ y² = 16
Answer:
Step-by-step explanation:
x^2 + y^2 = 16
Both the domain and range are :
-4≤x≤4
-4≤y≤4
Example
x^2= 16
√x^2 = √16
x = 4,-4
√y^2= √16
y = -4, 4
The first step in solving for the variable / in the equation P= 21 + 2w is:
A. Add the 2w to both sides of the equal sign.
B. Subtract the 2w to both sides of the equal sign.
C. Divide the 2 to both sides of the equal sign.
D. None of these choices are correct.
To raise money the youth club bought 90 kg of pecans for $297.90. They sold the pecans in 250 g bags for $1.90 each. How much profit did they make?
Answer:
Profit = $6,922.1
Step-by-step explanation:
Total weight of pecans = 950 kg
1 kg = 1000g
Total weight of pecans in gram = 950 *1000 g = 950,000 g
Note : we have calculated weight in gram as later in question weight of pecans in bag is given in gram so to make uniformity in unit of weight)
Given quantity one bag can store = 250 g
let there be x bag to store 950,000 g of pecan
weight of x bag = quantity one bag can store*x = 250x (this will be equal to total weight of pecan as given)
250 x= 950,000 g
=> x = 950000/250 = 950*4 = 3800
Thus, there are 3800 bags.
Selling price for 1 bag = $1.90
Selling price for 3800 bag = $1.90*3800 = $7,220
we know profit = selling price - cost price
given cost price of 950 kg pecan = $297.90
Profit = $7,220 - $297.90 = $6,922.1 (answer)