Answer:
2.2222222e+28Step-by-step explanation:
what is x squared minus 1 in factored form
Answer:
(x+1) (x-1)
Step-by-step explanation:
rewrite 1 as 1^2
Apply diffrence of two squares formula
x^2-y^2= (x+y)(x-y)
x^2-1^2= (x+1) (x-1)
The average distance from the Sun to Mars is 22,793, 910,000,000 centimeters.
The conversion factors between centimeters and four other units of measure are shown below.
9.46. 10^17 cm = 1 light-year
1.50.10^13 cm = 1 astronomical
1 . 10^5 cm = 1 kilometer
1. 10^2 = 1 meter
For the distance to be expressed as x units of measure, where 1 < x < 10, which unit of measure must be used?
A Light-years
B) Astronomical units
C)Kilometers
D) Meters
Step-by-step explanation:
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ID-9384026088
PASSWORD 1234
Answer:
C
Step-by-step explanation:
The following sample observations were randomly selected. Click here for the Excel Data File
X 5 3 6 3 4 4 6 8
Y 13 15 7 12 13 11 9 5
a. Determine the regression equation. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.
b. Determine the value of when X is 7. (Round your answer to 3 decimal places.)
The regression equation for the given sample observations is Y = 12.071 - 1.087X.
How to find the equation that represents the regression model?By analyzing the given sample observations, we can determine the regression equation that represents the relationship between the variables X and Y.
The regression equation is derived through statistical analysis and allows us to estimate the value of Y based on the given values of X. In this case, the regression equation is Y = 12.071 - 1.087X.
This equation indicates that for every unit increase in X, the value of Y decreases by 1.087 units.
To determine the regression equation, statistical techniques such as linear regression are applied to find the best-fitting line that represents the relationship between the variables.
The coefficients in the equation, 12.071 and -1.087, represent the intercept and slope of the line, respectively.
They provide insights into the relationship and can be used to make predictions or analyze the impact of changes in X on the value of Y.
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graph g(x)=− 51 (x+5) ^2 − 2
Answer:Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
5
,
1
)
Focus:
(
5
,
9
8
)
Axis of Symmetry:
x
=
5
Directrix:
y
=
7
8
x
y
3
9
4
3
5
1
6
3
7
9
what is the circumference of the following circle of 3cm
The answer is 18.84 because pie times the radius squared is 18.84
Answer:
18.84
Step-by-step explanation:
first you mulitiply 3.14 by two then you mulitiply what you get by 3cm
solve the followings system algrebraically (substition method method)a. -3x+7y=28 and -4x+3y=12b. x+3y= -7 and -7x-4y= -19 c. 3x+2y=4 and 6x-3y= -27d. -3x-20=-11 e. -x+4y= -5 and x-6y=7
a) -3x + 7y = 28 -4x + 3y = 12
7y - 28 = 3x
x = (7y - 28)/3
Substitution
-4(7y - 28)/3 + 3y = 12
-4(7y - 28)/3 = 12 - 3y
-4(7y - 28) = 3(12 - 3y)
-28y + 112 = 36 - 9y
112 - 36 = 28y - 9y
76 = 19y
y = 76/19
y = 4
x = [(7*4) - 28)]/3
x = [28 - 28]/3
x = 0/3
x = 0 Result x = 0, y = 4
b) x + 3y = -7 -7x - 4y = -19
x = -7 - 3y
Substitution
-7(-7 - 3y) - 4y = -19
49 + 21y - 4y = -19
17y = -19 - 49
17y = -68
y = -68/17
y = -4
x = -7 - 3(-4)
x = -7 + 12
x = 4 Result x = 4, y = -4
c) 3x + 2y = 4 6x - 3y = -27
x = (4 - 2y)/3
Substitution
6(4 - 2y)/3 - 3y = -27
6(4 - 2y)/3 = -27 + 3y
6(4 - 2y) = 3(-27 + 3y)
24 - 12y = -81 + 9y
-12y - 9y = -81 - 24
-21y = -105
y = -105/-21
y = 5
x = (4 - 2(5))/3
x = (4 - 10)/3
x = -6/3
x = -2 Result x = -2, y = 5
d) It is not complete
e) -x + 4y = -5 x - 6y = 7
x = 7 + 6y
-(7 + 6y) + 4y = -5
-7 - 6y + 4y = -5
-6y + 4y = -5 + 7
-2y = 2
y = 2/-2
y = -1
x = 7 + 6(-1)
x = 7 - 6
x = 1 Result x = 1, y = -1
expand - 4x(x^2 - y)
Answer:
-4x³ + 4xy
Step-by-step explanation:
distribute -4x by 'x²' and '-y'
-4x(x²) = -4x³
-4x(-y) = 4xy
Answer:
-4x^3+4xy
Step-by-step explanation:
Distribute the -4xy
Solve for x please
Choices are...
10
5
25
90
Answer:
x = 10
Step-by-step explanation:
Angle form is = 90°
therefore
5x + 25 + x + 5 = 90
6x + 30 = 90
6x = 90-30
6x = 60
6x/6 = 60/6
x = 10
13
select all the correct tables.
this table gives information about the colors and engine types of motorcycles sold at a showroom in a month.
150 cc 180 cc
black
18
24
blue
15
17
red
26
21
identify the tables that represent the relative frequencies of this data either by row or by column. round your answers to the nearest
hundredth.
Answer:
bottom left and top right
Step-by-step explanation:
What is the highest common factor of 25, 75 and 150?
The required highest common factor of 25, 75, and 150 is 25.
What is the highest common factor?
The highest common factor (HCF) of two or more numbers is the largest number that divides all of the numbers exactly.
To find the HCF of 25, 75, and 150, we can first find the prime factorization of each number and then look for the common factors.
Prime factorization of 25, 25 = 5²
Prime factorization of 75:, 75 = 5² × 3
Prime factorization of 150, 150 = 2 × 3² × 5²
The largest factor that all three numbers have in common is 5², which is 25.
So, the HCF of 25, 75, and 150 is 25.
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What is the mÐJAZ? plz help
Find f(x) + g(x) for
[ f(x) = 6x – 4
[g(x) = -5x + 24
Answer:
f(x) + g(x) = x + 20
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 6x - 4
g(x) = -5x + 24
Step 2: Find f(x) + g(x)
Substitute in functions: f(x) + g(x) = 6x - 4 + (-5x + 24)Combine like terms (x): f(x) + g(x) = x - 4 + 24Combine like terms: f(x) + g(x) = x + 20Going, Going, Gone! Saving the World’s Languages” and “Building a Bridge Without a Plan” focus on endangered languages. Write a multi-paragraph, informational essay explaining how and why linguists are preserving native languages on the verge of extinction.
Manage your time carefully so that you can
plan your essay and do some prewriting
type your essay
Be sure to
use evidence from both texts
avoid over-relying solely on one text
Your response should be in the form of a multi-paragraph informational essay.
Enter your response in the space provided.
Answer
Write a multi-paragraph, informational essay explaining how and why linguists are preserving native languages on the verge of extinction. Manage your time carefully so that you can plan your essay and do some prewriting type your essay Be sure to use evidence from both texts avoid over-relying solely on one text Your response should be in the form of a multi-paragraph informational essay.
Margo is putting cookies in bags for her friends. She has 36 cookies, and she wants to put them in 12 bags. She puts the same number of cookies in each bag. How many cookies does she put in each bag?
Answer:
3 cookies
Step-by-step explanation:
you have 36 cookies and want to put them in 12 bags, so you have to divide 36 by 12 that equals 3
PQR ~MNO. What is the length of side QR?
The length of the QR is 16 cm when PQR ~MNO
In the given question, it is given that two similar triangles as PQR ~MNO
Then, the corresponding sides will be in equal proportion to each other as follows
PQ / MN = PR / MO = QR / NO
We need to find the length of the side QR
As above relations are given,
\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)
\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)
Equating all the fractions, equal to each we'll find
\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)
5x + 7 = 3(x +5)
5x + 7 = 3x + 15
2x = 8
x = 4
We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm
Therefore, the length of the QR is 16 cm when PQR ~MNO
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Explain the method applied for determining the density of a solid (Regular and inregular) and liquid.
The method applied for determining the density of a solid (regular and irregular) and a liquid is based on the concept of mass and volume.
For solids (regular and irregular):
Determining the mass: The mass of the solid can be measured using a balance or scale. The unit of mass is typically grams (g) or kilograms (kg).
Determining the volume:
Regular solids: The volume of regular solids, such as cubes or rectangular prisms, can be calculated using their geometric formulas. For example, the volume of a cube is calculated by cubing the length of one of its sides: Volume = side length^3.
Irregular solids: The volume of irregular solids can be determined using various methods such as water displacement. The solid is immersed in a known volume of liquid (e.g., water), and the increase in the volume of the liquid is measured. This increase represents the volume of the solid.
Calculating the density: The density of a solid is calculated by dividing its mass by its volume. The unit of density is typically grams per cubic centimeter (g/cm^3) or kilograms per cubic meter (kg/m^3).
For liquids:
Determining the mass: Similar to solids, the mass of the liquid can be measured using a balance or scale.
Determining the volume: The volume of a liquid can be measured directly using a graduated cylinder or other volumetric measuring devices. The unit of volume is typically milliliters (mL) or liters (L).
Calculating the density: The density of a liquid is calculated by dividing its mass by its volume. The unit of density is typically grams per milliliter (g/mL) or kilograms per liter (kg/L).
The method for determining the density of a solid (regular and irregular) involves measuring the mass and volume of the solid and calculating the density by dividing the mass by the volume. For liquids, the density is determined similarly by measuring the mass and volume.
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I conduct a statistical test of hypotheses and find that the null hypothesis is statistically significant (or simply is rejected) at the significance level α=0.05. I may conclude a. that we can not make a decision for other significance levels. b. that the test would also be rejected at the level α=0.01
c. that the test would also be rejected at the level α=0.10
d. that the test would also be rejected at the level α=0.10 and α=0.01.
The appropriate conclusion is that the test would also be rejected at the level α=0.10, but we cannot make a decision for other significance levels.
If I conduct a statistical test of hypotheses and find that the null hypothesis is statistically significant (or simply is rejected) at the significance level α=0.05, the appropriate conclusion is that:Option (c) the test would also be rejected at the level α=0.10.However, we can not conclude that the test would also be rejected at other significance levels, for example, we can not make a decision for other significance levels.The null hypothesis (H0) is rejected if the probability of observing a value as extreme as that calculated from the sample data is very low, that is, less than or equal to the chosen level of significance (alpha).We choose a significance level before conducting the test, which is the level of risk that we are willing to accept when rejecting the null hypothesis.In this case, the null hypothesis is rejected at a significance level of 0.05, and it means that there is strong evidence against the null hypothesis, so we reject it and accept the alternative hypothesis. This decision only applies to this significance level and not to others.Therefore, the appropriate conclusion is that the test would also be rejected at the level α=0.10, but we cannot make a decision for other significance levels.
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A diver leaps from the edge of a diving platform into a pool below. The figure shows the initial position of the diver and her position at a later time. At time t seconds after she leaps, the horizontal distance from the front edge of the platform to the diver's shoulders is given by xXt and the vertical distance from the water surface to her shoulders is given by t), where x(t) and yt) are measured in meters. Suppose that the diver's shoulders are 11.4 meters above the water when she makes her leap and that d0.8 and dar 3.6 9.8t for Os ts A, where A is the time that the diver's shoulders enter the water. image y0) Note: Figure not drawn to scale Question 1 (3 points) Find the maximum vertical distance from the water surface to the diver's shoulders. Question 2 (2 points) Find A, the time that the diver's shoulders enter the water Question 3 (2 points) Find the total distance traveled by the diver's shoulders from the time she leaps from the platform until the time her shoulders enter the water. Question 4 (2 points) Find the angle e. 0くθ 〈 π , between the path of the diver and the water at the instant the diver's shoulders enter the water.
A- The maximum vertical distance from the water surface to the diver’s
shoulders are 12.061 meters.
B- The time that the diver’s shoulders enter the water is 1.936 seconds.
C- The total distance traveled by the diver’s shoulders from the time
she leaps from the platform until the time her shoulders enter the water is 12.946 meters.
D- The angle, θ between the path of the diver and the water at the instant the diver’s shoulders enter the water is 1.519.
A-
\(\frac{dy}{dx} =0\) only when \(t=0.36735\). Let \(b=0.36735\)
The maximum vertical distance from the water surface to the diver’s
shoulders is y(b)=11.4 + \(\int\limits^b_0 \frac{dy}{dT} dt = 12.061\) meters.
B-
\(y(A)=11.4+\int\limits^A_0 \frac{dy}{dt} dt = 11.4+3.6A- 4.9A^{2} =0\)
when A= 1.936 seconds.
C-
\(\int\limits^A_0 {\sqrt{(\frac{dx}{dt} )^{2} + (\frac{dy}{dt} )^{2} } } \, dt = 12.946 m\)
At time A, dy/dx = \(\frac{dy/dt}{dx/dt} | _{t=A} = -19.21913\)
D- The angle between the path of the diver and the water is \(tan^{-1} (19.21913) = 1.518 or 1.519\)
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what is the volume of a 6 by 8 cone?
Answer:
301.7 cm
Step-by-step explanation:
Given,
Height of cone (h)=8cm
base radius (r)=6cm
Volume of the cone (V)=
3
1
πr
2
h
=
3
1
×
7
22
×6×6×8
=
7
2112
=301.7cm
3
Hence, volume of the cone =301.7cm
3
Answer:
402.1402.1 cm
Step-by-step explanation
height = 6cm
Radius= 8cm
PLEASE I NEED THIS
what is the measure of <4?
1. 50°
2.45°
3.80°
4.100°
Answer:
80
Step-by-step explanation:
I did this quiz and got the answer
15:60 simlplfed a. 3:4 b 1:4 c 2:5
Answer: b 1:4
Step-by-step explanation:
Answer:
The given expression 15:60 can be simplified by dividing both the numerator and denominator by their greatest common factor (GCF), which is 15 in this case. So, 15 divided by 15 is 1 and 60 divided by 15 is 4. Therefore, the simplified form of 15:60 is 1:4.
So, the answer is (b) 1:4.
Three monkey's walk into a motel on the Curious George Hotel and ask for a room. The desk clerk says a room costs 30 bananas, so each monkey pays 10 bananas towards the cost.Later, the clerk realizes he made a mistake, that the room should have been 25 bananas. He calls the bellboy over and asks him to refund the other 5 bananas to the 3 monkeys. The bellboy, not wanting to make a mess dividing the 5 bananas three ways, decides to lie about the price, refunding each monkey I banana, keeping the other 2 bananas for himself. Ultimately cach monkey paid 9 bananas towards the room and the bellboy got 2 bananas, for a total of 29 bananas. But the original charge was 30 bananas.Where did the extra 1 banana go?
Step 1
Given;
\(\begin{gathered} Cost\text{ for a room= \$30} \\ Each\text{ monkey pays 30 bananas} \\ Clerk\text{ ask bell boy to refund 5 bananas} \\ Bell\text{ boy refunds 3 bananas} \\ Bell\text{ boy keeps 2 bananas} \end{gathered}\)Required; To determine where 1 banana went if 29 bananas are accounted for.
Step 2
Here is the break down; the balance should be like this;
\(\begin{gathered} 25\text{ bananas-room} \\ 3\text{ banans\lparen3}\times1\text{ banana\rparen- back to monkeys} \\ 2\text{ bananas- Bell boy} \\ Total-30\text{ bananas} \end{gathered}\)Hence, there is no extra 1 banana, The monkeys spent 27 bananas of which the bellboy took 2 bananas and 25 bananas went to the room, and 3 bananas where returned to them. A total of 30 bananas
FOR 60 POINTS!!
The ratio of diagonal to length of a rectangular computer is 13:7.
If the actual length is 18 inches, what is the measure of the width of the computer? Provide an answer accurate to the nearest hundredth.
Answer:
Step-by-step explanation:
ISSA PARADE INSIDE MY CITY YEAHHHHH
Which statement correctly compares the values of 2s in 43,290 and 32,865?
A. 20 is 1 times the value of 200.
B. 200 is 1/20 the value of 2,000.
C. 200 is 10 times the value of 2,000.
Answer:
Step-by-step explanation:
The value of 2s in 43,290 is 2,000, while the value of 2s in 32,865 is 20.
B. 200 is 1/20 the value of 2,000.
This statement is correct, as 200 is 1/10 of 2,000, and there are two 0s in the value of 2s in 43,290 compared to one 0 in the value of 2s in 32,865.
Alton estimated that 240 people attended the band concert. The actual count for attendance was 200 people. Find the percent of error.
8%
17%
20%
40%
Answer:
(c) 20%
Step-by-step explanation:
You want the percent error in an estimate of 240, when the actual count was 200.
ErrorThe percent error can be found by ...
error = (estimate/actual -1) × 100%
error = (240/200 -1) × 100%
error = (1.2 -1) × 100% = 20%
The error in the estimate was 20%.
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need help pls asap - trigonometry
The measure of angle x is given as follows:
x = 48º.
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:
Sine = length of opposite side to the angle/length of hypotenuse of the triangle.Cosine = length of adjacent side to the angle/length of hypotenuse of the triangle.Tangent = length of opposite side to the angle/length of adjacent side to the angle = sine/cosine.For angle x, we have that:
7 is the opposite side.9.4 is the hypotenuse.Hence we apply the sine ratio to obtain the measure of x as follows:
sin(x) = 7/9.4
x = arcsin(7/9.4)
x = 48º.
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what is the probability of not drawing a green marble? If there are 6 blue, 9 red, 5 green
Answer:xxxxxxxxx
ggggggggxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Step-by-step explanation:
Suppose grades on a business statistics exam are adequately described by a normal distribution with mean 76 and standard deviation of 6. If a professor decides to give As to those who scored 90 and above and Fs to those who scored 60 and below, what proportion of As and Fs combined would the professor be assigning. Indicate the interval below that contains this proportion i) .2000 to .2499 ii) 0.1500 to .1999 iii) .0000 to .0999 iv) .1000 to 1.499 v) .2500 to 1.000
The normal distribution with a mean of 76 and a standard deviation of 6 describes the grades on a business statistics exam. The proportion of students scoring between 90 and above (A) and 60 and below (F) is 0.0136, which falls within the interval of 0.0000 to 0.0999.
In the given context, the normal distribution refers to the statistical distribution that adequately describes the grades on a business statistics exam. It is assumed that the grades follow a normal distribution with a mean of 76 and a standard deviation of 6.
The normal distribution, also known as the Gaussian distribution or bell curve, is a continuous probability distribution characterized by a symmetric bell-shaped curve. It is widely used in statistics and probability theory due to its mathematical properties and its applicability to many real-world phenomena.
The formula for standardizing a normal variable Z is:
Z=frac{x-mu}{sigma}, where x is the raw score, μ is the mean, and σ is the standard deviation.
The proportion of grades who scored an A (90 and above) and F (60 and below) can be calculated as follows:
First, we will find the Z-score of grade 90:
Z=frac{x-mu}{sigma}=frac{90-76}{6}=2.33.
Now, we need to find the proportion of students who scored 90 and above:
P(Zge2.33)=0.0099.
Therefore, a 0.0099 proportion of students scored 90 and above.
Next, we will find the Z-score of grade 60:
Z=frac{x-mu}{sigma}=frac{60-76}{6}=-2.67.
Now, we need to find the proportion of students who scored 60 and below:
P(Zle-2.67)=0.0037.
Therefore, 0.0037 proportion of students scored 60 and below.
The proportion of students who scored between A (90 and above) and F (60 and below) is $0.0099 + 0.0037 = 0.0136.
Therefore, the professor will be assigning the proportion of 0.0136.
The interval that contains this proportion is option iii) 0.0000 to 0.0999.
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Lake Chad in Africa had a surface area of about 10,000 square miles in 1963. Because of climate changes and increased water usage by humans, the surface area decreased to about 850 square miles in 2001. By what percent did the surface area change from 1963 to 2001?
Answer:
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Step-by-step explanation:
Three times a number plus six is no more than eighteen
Answer:
3x4=12
12+6=18
Step-by-step explanation: