The horizontal distance from the origin to the point (1, 4) is 1 unit.
What is Distance?The length along a line or line segment between two points on the line or line segment.
To find the horizontal distance from the origin to the point (1, 4)
we need to find the x-coordinate of the point.
The x-coordinate of the point (1, 4) is 1
1 represents the horizontal distance from the origin to the point.
Therefore, the horizontal distance from the origin to the point (1, 4) is 1 unit.
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select the property that is demonstrated by: 3+7=7+3
Answer:
Commutative property of addition
Step-by-step explanation:
This is called the commutative property of addition which states that a + b = b + a. In this case, a = 3 and b = 7.
Answer:Communitive Property of Addition
Step-by-step explanation:
A+B=B+A 3+7=7+3
The communitive property of addition states that the order of two numbers being added doesn’t matter and that the sum is the same.
Find the inverse of the exponential function f(x)=10^x
Answer: [tex]y=\frac{ln(x)}{ln(10)}[/tex]
Step-by-step explanation:
To find the inverse of the function, you first replace the y with x and x with y. Then you solve for y.
[tex]y=10^x[/tex] [replace y with x and x with y]
[tex]x=10^y[/tex] [find natural log of both sides to get y alone]
[tex]ln(x)=ln(10)^y[/tex] [divide ln(10) on both sides]
[tex]\frac{ln(x)}{ln(10)} =y[/tex]
Now that we have found y after switching y with x and x with y, we know that the inverse is [tex]y=\frac{ln(x)}{ln(10)}[/tex].
what is x times negative 2
Answer:
-2x
Step-by-step explanation:
find the sum and difference of the greatest and the least six digit number formed by the digits 2,0,4,7,6,5 using each digit only once
Answer:
See below
Step-by-step explanation:
The greatest number formed by those numbers is: 765420
The least number formed by those number is: 204567
The sum is: 765420 + 204567 = 969987
The difference is: 765420 - 204567 = 560853
Answer: Hi!
First we need to form the biggest and smallest number out of these digits. To do this it's pretty simple - just order the numbers from greatest to least for the greatest number, and from least to greatest for the least number! (However, for the least number, we will have to put the zero in front of 2, the second least number, because we can't put 0 in front of 2 and still be actually using it in the number.)
Greatest: 765420
Least: 204567
Now we add the numbers together:
765420 + 204567 = 969987
Now we subtract the numbers:
765420 - 204567 = 560853
These are your answers!
Hope this helps!
What are the most appropriate measures of center and spread of the data set?
Answer:
B... According to the statement..
Step-by-step explanation:
The mean and median determines the numerical measures of center. The mean is used when showing the center as an average while the median shows the middle value of a data. The range and IQR determines the numerical measures of spread.
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
Answer:
answers below vote brainliest
Step-by-step explanation:
Use the divergence theorem to find the outward flux of the vector field F(x,y,z)=2x2i+5y2j+3z2k across the boundary of the rectangular prism: 0≤x≤1,0≤y≤3,0≤z≤1.
By the divergence theorem, the flux of F across the boundary of a region, ∂R, is equal to the integral of div(F ) over the region itself, R. In this case, the flux would be
[tex]\displaystyle \iint_{\partial R}\mathbf F\cdot\,\mathrm d\mathbf S = \iiint_R\mathrm{div}(\mathbf F)\,\mathrm dx\,\mathrm dy\,\mathrm dz \\\\ = \int_0^1\int_0^3\int_0^1\frac{\partial(2x^2)}{\partial x} + \frac{\partial(5y^2)}{\partial y} + \frac{\partial(3z^2)}{\partial z} \,\mathrm dx\,\mathrm dy\,\mathrm dz \\\\ = \int_0^1\int_0^3\int_0^1 (4x+10y+6z)\,\mathrm dx\,\mathrm dy\,\mathrm dz = \boxed{60}[/tex]
In this exercise we have to calculate the flux by the divergent theorem:
[tex]\int\limits\int\limits_R\, ds = 60[/tex]
By the divergence theorem, the flux of F across the boundary of a region, ∂R, is equal to the integral of div(F ) over the region itself, R. In this case, the flux would be:
[tex]\int\limits\int\limits_R {F} \, ds= \int\limits \int\limits \int\limits_R {div(F)} \, dxdydz\\=\int\limits^1_0 \int\limits^3_0 \int\limits^1_0 {(4x+10y+6z)} \, dx dy dz= 60[/tex]
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PLEASE HELP, I DON'T UNDERSTAND THIS! :(
Divide.
Answer:
Step-by-step explanation:
Hello, please consider the following.
We need to factorise as much as possible and eliminate the same term from numerator and denominator
[tex]\dfrac{\dfrac{x^2-4x-5}{x-2}}{\dfrac{2x-10}{x^2-4}}\\\\\\=\dfrac{(x^2-4x-5)}{(x-2)}\dfrac{(x-2)(x+2)}{(2x-10)}\\\\\\=\dfrac{(x-5)(x+1)(x+2)}{(2x-10)}\\\\\\\large \boxed{=\dfrac{(x+1)(x+2)}{2}}[/tex]
Thank you
Where is the blue dot on the number line?
Answer:
-5.8
Step-by-step explanation:
I will mark the brainliest
Please answer thank youu!!!
Answer: its option "b"
Pentagon;not regular
Step-by-step explanation:
The polygon has 5 sides but all the sides are not equal
hence, it is an irregular pentagon
Hope this helped you!!
Please Mark as Brainliest!! : )
5. For a given function ƒ(x) = x^5, a translation in the positive y-direction of two units is represented by which of the following?
options:
A) ƒ(x + 2) = (x + 2)^5
B) ƒ(x + 2) = ( x – 2)^5
C) ƒ(x) – 2 = x^5 – 2
D) ƒ(x) + 2 = x^5 + 2
Answer:
[tex]\huge \boxed{\mathrm{Option \ D}}[/tex]
Step-by-step explanation:
[tex]f(x)+k[/tex]
Is the formula for upward vertical translation.
[tex]f(x)-k[/tex]
Is the formula for downward vertical translation.
Where [tex]k[/tex] is the units being translated.
Translation in the positive y-direction is upward vertical translation.
[tex]k=2[/tex]
The translation is by 2 units.
The function becomes,
[tex]f(x)+2[/tex]
Answer:
Step-by-step explanation:
D) ƒ(x) + 2 = x^5 + 2
The sum of Micah’s age and Aria’s age is 29. Aria is 5 years older than twice Micah’s age. Let x represent Micah’s age. The equation that can be used to find Micah’s age is x + (x + 5) = 29. x + (2 x + 5) = 29. x + (2 x) = 29. x + (2 x minus 5) = 29
Answer:
B, x + (2x + 5) = 29
Step-by-step explanation:
x, being Micahs age.
the 2, as twice the age.
5, the additional amount older.
Answer:
Yup hes right
Step-by-step explanation:
A line segment with one end at A (-3,2) has midpoint M (2,-3). Find the coordinate of the other end point B.
(A.) B (-1,-1)
(B.) B (5,-5)
(C.) B (1,-4)
(D.) B (7,-8)
Answer:
D
Step-by-step explanation:
since all x coordinates are distinct, lets just find the x coordinate (multiple choice question)
Midpoint formula:
given two points, (x1, y1) and (x2, y2)
the midpoint is ((x1+x2)/2, (y1+y2)/2)
-3+x2 = 2*2
x2 = 7
ANSWER IF YOU LOVE YOUR LORD!!!! Which graph represents the solution to: 2k+8<5k-1?
Answer:
Third graph
Step-by-step explanation:
First, find the solution to the equation of inequality given.
2k + 8 < 5k - 1
Subtract 5k from both sides
2k + 8 - 5k < 5k - 1 - 5k
-3k + 8 < -1
Subtract 8 from both sides
-3k + 8 - 8 < -1 - 8
-3k < -9
Divide both sides by -3. (Note: < will change to > when dividing both sides with negative number)
[tex] \frac{-3k}{-3} [/tex] > [tex] \frac{-9}{-3} [/tex]
k > 3
The graph that will represent this solution will show that all values of k are greater than 3. 3 is not included as a solution. The "o" on top of the 3 on the number line won't be shaded to indicate that 3 is not included. And also, the arrow will point from 3 towards our right.
Therefore, the 3rd graph is the answer.
In which step was the addition property of equality applied? A. step 2 B. step 3 C. step 4 D. The addition property of equality was not applied to solve this equation.
Answer:
Step 2
Step-by-step explanation:
The addition property of equality was applied in step 2. The '- 9' value had to be 'undone', so '9' was added to each side of the equation, which would be an application of the addition property of equality, to yield step 3.
Hope this helps.
The correct option is A. Step 2.
Given the image in question as we saw in step 2, 9 has been added to both sides of the equation,right hand side and left hand side.
Hence in step 2 the addition property of equality applied.
So, the correct option is A. step 2.
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The student council at Mountain View High School plans to conduct a survey to determine the student body's opinion of the new lunch menu. Which of the following sampling methods would be most likely to result in nonresponse bias? O A. Handing out a questionnaire to seniors only 0 B. Obtaining an alphabetical list of all students and surveying every 10th student O C. Setting up a booth in the lunchroom where students can give their thoughts D. Handing out a questionnaire to students leaving campus at lunchtime
Answer:
C. Setting up a booth in the lunchroom where students can give their thoughts
Step-by-step explanation:
Sampling is the process by which some part of the entire population is selected and researched. This selected population helps in estimating the researches for the entire population. There are various methods used for the process of sampling.
For the given case, the sampling method to be adopted is to view each students' opinion on the issue. For this process, setting up a booth can prove helpful as the opinion of every student can be viewed with no biases. Also, every student is free to provide their opinion with any fear.
f + 3 pi = 7 pi what is f?
Answer:
f = 4 pi
Step-by-step explanation:
f + 3 pi = 7 pi
f = 7 pi - 3 pi
f = 4 pi
Answer:
f = 4 pi
Step-by-step explanation:
f + 3 pi = 7 pi
Subtract 3 pi from each side
f + 3 pi -3pi = 7 pi -3 pi
f = 4 pi
When two straight lines cross, it is found that the angles opposite to each ate the same size. They are known as
The angles don't need to be lined up vertically, or have one over top another. You could have them laid out horizontally. All that matters is that they are opposite angles after an X shape has been formed by two crossing lines. Vertical angles are always congruent.
A company has determined that 1% of its widgets are defective. If a customer received 2 widgets, what is the probability that they are both defective?
Assume independence because there are probably a lot of widgets. 1/100 x 1/100 = 1/10,000
Answer:
I'm just answering so the other person can have brainliest.
Sometimes I wonder if I'm the only idiot in the world.
Step-by-step explanation:
Using the order of operations, what should be done first to evaluate (-2)³ + 4 ÷ (-15 + 9)(3) - 4?
Answer:
use BODMAS
brackets
of
division
multiplication
addition
subtraction
or Americans would use BEDMAS I think
so it'll be 8 + 4 ÷ (-24) × (3) - 4 = 35
u can break the brackets down further
Answer:
Its a on ed
Step-by-step explanation:
How many ways can six of the letters of the word ALGORITHM be selected and written in a row if the first three letters must be THM
Answer: 120 ways
Step-by-step explanation: The word ALGORITHM has 9 letters. We want them to be written in a row, which means, order of the letters are important, so, use Permutation.
Permutation is calculated by:
P(n,r) = [tex]\frac{n!}{(n-r)!}[/tex]
We want to use 6 of the 9 letters with first 3 being THM. So, n = 6 and r = 3:
Permutation will be:
P(6,3) = [tex]\frac{6!}{(6-3)!}[/tex]
P(6,3) = [tex]\frac{6.5.4.3!}{3!}[/tex]
P(6,3) = 120
There are 120 ways six letters of ALGORITHM be written in a row with first three letters THM.
Phillip deposited $7,775 into a savings account 14 years ago. The account has an interest rate of 4.5% and the balance is currently $14,398.87. How often does the interest compound? (2 points)
daily
monthly
quarterly
annually
Answer:
annually
Step-by-step explanation:
Compound interest formula:
A = P(1 + r/n)^(nt)
amount of interest = balance - principal
Try daily:
A = 7775(1 + 0.045/365)^(365 * 14)
A = 14,597.88
This is too much money, so it was compounded less than daily.
Try monthly:
A = 7775(1 + 0.045/12)^(12 * 14)
A = 14,581.23
This is too much money, so it was compounded less than monthly.
Try quarterly:
A = 7775(1 + 0.045/4)^(4 * 14)
A = 14,547.16
This is too much money, so it was compounded less than quarterly.
Try annually:
A = 7775(1 + 0.045/1)^(1 * 14)
A = 14,398.87
This is the correct amount, so it was compounded annually.
Answer: annually
The claim is that for a smartphone carrier's data speeds atairports, the mean= 14.00Mbps. The sample size is equals=27 and the test statistic is t equals=1.386.
What is the P-value=
Degree of freedom = sample size -1 = 27-1 = 26
Given t = 1.386
This is a two tailed test.
Using a TI83/84 calculator:
2 x tcdf(1e99,-1.386,26) = 0.177520
The p value = 0.177520 (round the answer as needed)
Write an equivalent expression by distributing the "-−" sign outside the parentheses: 2h-(-2.3k-4) 2h−(−2.3k−4)
Answer:
[tex]2\cdot h +(2.3\cdot k + 4)[/tex]
Step-by-step explanation:
This expression is solved algebraically:
1) [tex]2\cdot h -(-2.3\cdot k - 4)[/tex] Given
2) [tex]2\cdot h +(-1)\cdot [(-1)\cdot (2.3)\cdot k + (-1)\cdot (4)][/tex] [tex](-1)\cdot a = -a[/tex]
3) [tex]2\cdot h + [(-1)\cdot (-1)]\cdot (2.3\cdot k+4)[/tex] Distributive property.
4) [tex]2\cdot h +(2.3\cdot k + 4)[/tex] [tex](-a)\cdot (-b) = a\cdot b[/tex]/Modulative property/Result
In a recent Super Bowl, a TV network predicted that 31 % of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, and Advertising Group sampled 120 people who saw the commercials and found that 40 of them said they would watch one of the television shows. Suppose you have the following null and alternative hypotheses for a test you are running:
1. H0: p = 0.53 Ha: p ≠ 0.53
2. H0: p = 0.53 Ha: p ≠ 0.53
Calculate the test statistic, rounded to 3 decimal places.
Answer:
-4.317
Step-by-step explanation:
The z test statistic for testing of 1-proportion can be computed as
[tex]z=\frac{phat-p}{\sqrt{\frac{pq}{n} } }[/tex]
We know that
phat=x/n.
We know that x=40 and n=120.
Thus,
phat=40/120=0.3333
p=hypothesized proportion=0.53
q=1-p=1-0.53=0.47
So, required z-statistic is
[tex]z=\frac{0.3333-0.53}{\sqrt{\frac{0.53(0.47)}{120} } }[/tex]
[tex]z=\frac{-0.1967}{ 0.04556 }[/tex]
z=-4.317.
Thus, the required test statistic value for given hypothesis is z=-4.317.
Round 3.99408317124 to the nearest tenth.
Answer:
4.0
Step-by-step explanation:
when rounded the nine adds to the whole number making it 4
Rounding 3.99408317124 to nearest tenth becomes 4.
Why we round numbers ?We round numbers as it is easy to remember and also rounding a number to a certain place retains approximate value to that pace.
According to the given question we have to round 3.99408317124 to nearest tenth.
We know to round a number to a certain place we have to check the
digit that is one place lesser.
Now we have to round 3.99408317124 to tens place so we'll look at the digit at ones' place which is 9 and is greater than 5 so we'll add one to it this will make it 0 and 1 will carry over.
Thus the number becomes 4.0.
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Answer this question please. Thanks
Answer:
a). $8.30
b).$18.70
c). $10.40
d). 1.04
Step-by-step explanation:
Average price of the ticket of a basketball game can be represented by the function,
p(x) = 0.03x² + 0.56x + 6.35
Where 'x' is the number of years or duration.
a). P(3) = 0.03(3)² + 0.56(3) + 6.35
= 0.27 + 1.68 + 6.35
= $8.30
b). P(13) = 0.03(13)² + 0.56(13) + 6.35
= 5.07 + 7.28 + 6.35
= $18.70
c). P(13) - P(3) = 18.70 - 8.30
= $10.40
d). [tex]\frac{P(13)-P(3)}{13-3}[/tex] = [tex]\frac{10.40}{10}[/tex]
= 1.04
Average increase in the price of each ticket from 3 tickets to 13 tickets is $1.04.
Tony rounded each of the numbers 1,143 and 1,149 to the nearest hundred. Which choice correctly compares the rounded numbers?
The rounding off should be 1100.
What is rounding off?Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
Rounding Numbers to the Nearest HundredRounding numbers to the nearest hundred means we need to check the digit to the right of the hundreds place, that is, the tens place. For example, when 7456 is rounded to the nearest hundred, it becomes 7500.
Given numbers are 1143 and 1149.
According to the given numbers both the numbers rounded off nearest hundred.
The number 143 and 149 lies between 100 to 200.
So, the round off will be 100.
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f(x) = -x - 3 Find f(-4) f(-4) = -(-4) -3
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{f( - 4) = 1}}}}[/tex]
Step-by-step explanation:
Given, f ( x ) = - x - 3
Let's find the value of f ( - 4 )
[tex] \sf{f( - 4) = - ( - 4) - 3}[/tex]
We know that , [tex]( - ) \times ( - ) = ( + )[/tex]
⇒[tex] \sf{ 4 - 3}[/tex]
Subtract 3 from 4
⇒[tex] \sf{1}[/tex]
Hope I helped!
Best regards!!
Which multimedia sources are best for a student writing a research paper on childhood obesity? Check all that apply.
a documentary produced by an association of pediatricians
a sound bite of doctors at a forum discussing the issue
a cartoon showing families eating dinner at a fast-food restaurant
a podcast in which children share their eating habits
a timeline made by the government showing obesity trends
Answer:
1, 2 , 5
Step-by-step explanation:
Correct on edge 2020
The multimedia sources that are best for a student writing a research paper on childhood obesity are:
A documentary produced by an association of pediatricians.
A sound bite of doctors at a forum discussing the issue.
A timeline made by the government showing obesity trends.
What is obesity?Obesity is typically caused by overeating and inactivity. If you consume a lot of energy, especially fat and sugars, but don't burn it off through exercise and physical activity, your body will store a lot of it as fat.
Obesity is a complicated condition characterized by an excess of body fat. Obesity is more than simply an aesthetic issue.
Therefore, the correct options are 1, A documentary produced by an association of pediatricians. 2, A sound bite of doctors at a forum discussing the issue, and 5, A timeline made by the government showing obesity trends.
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3. Solve: 4x + 2 = 3x -9
Answer:
x=-11 is the answer
Step-by-step explanation:
4x + 2 = 3x -9
4x-3x+2=-9
1x=-9-2
x=-11
hope it will help ^_^