Answer:
13 units
Step-by-step explanation:
So the length of those 2 points is 6+6 = 12.
The height would be 8-3 =5
Using pythagoras, you can find out the length of the line joining the 2 points so:
[tex]5^2 + 12^2 = 169[/tex]
[tex]\sqrt{169} = 13[/tex] units
Determine the linear function of the line that goes through the points (2; 6) and
(6; 5).
(1) = −6,50 + 0,50;
(2) = 0,25 − 6,50;
(3) = 6,50 − 0,25;
(4) = −0,65 − 0,25x
Answer:
[tex]y=6.50-0.25x[/tex]
Step-by-step explanation:
[tex]\textsf{let}\:(x_1,y_1)=(2,6)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(6,5)[/tex]
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{5-6}{6-2}=-0.25[/tex]
Point-slope form of linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
Substituting the found slope and a point on the line:
[tex]\implies y-6=-0.25(x-2)[/tex]
[tex]\implies y-6=-0.25x+0.5[/tex]
[tex]\implies y=-0.25x+6.5[/tex]
Rearranging the equation to match the answer options given:
[tex]\implies y=6.50-0.25x[/tex]
Find the median of the data set: 5, 19, 11, 3, 21, 9. (Round your answers to one decimal place, if necessary.)
Answer:
3.33
Step-by-step explanation:
In this case, the number we have is an even number so you can not choose the one in the middle so you would take those two and add the then divide them by how many numbers you have there which would be 6 in the case and then round it to the nearest decimal.
Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0 and σ=15.0. A random sample of 43 people is taken. Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 98? Round your answer to 4 decimal places, if necessary.
Using the normal distribution, it is found that there is a 0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Normal Probability Distribution
In a normal distribution with mean and standard deviation, the z-score of a measure X is given by:
[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean.After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by and.
The probability of a random person on the street having an IQ score of less than 98 is the p-value of Z when X = 98, hence:
[tex]Z=\dfrac{x-\mu}{\sigma}[/tex]
[tex]Z=\dfrac{98-100}{15}[/tex]
[tex]Z=-0.13[/tex]
Has a p-value of 0.4483.
0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.
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Solve the division problem:
10)430
O A. 40
B. 43
C. 400
D. 403
Answer is option B.43
430÷ 10 = 43
By : Modern Einstein
please answer this question
Given that the variables are complex numbers, the value of the complex expression [tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}}[/tex] is -2
How to solve the complex expression?The given parameters are:
[tex]\alpha + \beta + \gamma = 0[/tex]
[tex]\frac{1}{\alpha} + \frac{1}{\beta} + \frac{1}{\gamma} = 0[/tex]
Rewrite the first equation as:
[tex]\alpha + \beta = - \gamma[/tex]
Take LCM in the second equation
[tex]\frac{\alpha + \beta}{\alpha \beta} + \frac{1}{\gamma} = 0[/tex]
So, we have:
[tex]\frac{ - \gamma}{\alpha \beta} + \frac{1}{\gamma} = 0[/tex]
Rewrite as:
[tex]\frac{1}{\gamma} = \frac{\gamma}{\alpha \beta}[/tex]
Multiply through by [tex]\alpha[/tex]
[tex]\frac{\alpha}{\gamma} = \frac{\gamma}{\beta}[/tex]
Inverse both sides
[tex]\frac{\gamma}{\alpha} = \frac{\beta}{\gamma}[/tex]
Make [tex]\beta[/tex] the subject in [tex]\alpha + \beta + \gamma = 0[/tex]
[tex]\beta =-(\alpha + \gamma)[/tex]
So, we have:
[tex]\frac{\gamma}{\alpha} = \frac{-(\alpha + \gamma)}{\gamma}[/tex]
Expand
[tex]\frac{\gamma}{\alpha} = -\frac{\alpha}{\gamma}- 1[/tex]
This gives
[tex]\frac{\gamma}{\alpha} +\frac{\alpha}{\gamma} = - 1[/tex]
Make [tex]\gamma[/tex] the subject in [tex]\alpha + \beta + \gamma = 0[/tex]
[tex]\gamma = -(\beta + \alpha)[/tex]
So, we have:
[tex]\frac{\gamma}{\alpha} +\frac{\alpha}{-(\beta + \alpha)} = - 1[/tex]
Split
[tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}} + \frac{\alpha}{\alpha} = - 1[/tex]
Evaluate the quotient
[tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}} + 1 = - 1[/tex]
Subtract 1 from both sides
[tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}} = - 2[/tex]
Hence, the value of [tex]\frac{\gamma}{\alpha} +\bar{\frac{\alpha}{\beta}}[/tex] is -2
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The area of the pool when viewed from above is approximately 78.5 m2. What is the radius of the pool? (Use 3.14 for pi.)
5 m
11 m
6 m
12 m
Step-by-step explanation:
I guess it is a circular pool.
the area of a circle is
pi×r²
in our case we know
pi×r² = 78.5
3.14×r² = 78.5
r² = 78.5/3.14 = 25
r = 5 m
When a plane intersects a sphere, what two-dimensional shape describes the cross-section?
Answer:
A Circle
Step-by-step explanation:
a bookstore sells 7 books for $99.75 which table represents the relationship between number of books and total price?
Answer:
You did not provide the tables to choose from, but the relationship between number of books and total price is that each book is 14.25. Hope that helps at least.
Please help !!! 50 points!!!!!!
Step-by-step explanation:
I could not see the entire question
if the question was 6√5²×6√5³×6√5⁴
the answer would be 5√5
if the question was 6√5²×6√5³×6√5
without exponent 4
5²×5³×5=15625
6√15625
the answer will be 5
The function g is given by g(x) = ax^2 − b, where a and b are real numbers. If g(2) = −5 and g(−1) = 2, find the values of a and b.
Answer:
a = 1
b = -1
Step-by-step explanation:
[tex]g(x)=ax^2-b \quad \quad \textsf{(where }\:a\:\textsf{ and }\:b\:\textsf{ are real numbers)}[/tex]
Create 2 equations with b as the subject using the given information.
Equation 1
[tex]\begin{aligned}g(2) &=-5\\\implies a(2)^2-b &=-5\\4a-b &=5\\ b&=4a-5\end{aligned}[/tex]
Equation 2
[tex]\begin{aligned}g(-1) &=2\\\implies a(-1)^2-b &=2\\a-b &=2\\ b &=a-2\end{aligned}[/tex]
Equate the equations and solve for a:
[tex]\begin{aligned}b & =b\\\implies 4a-5 & = a-2\\3a & = 3\\a & = 1\\\end{aligned}[/tex]
Substitute the value of a into Equation 2 and solve for b:
[tex]\begin{aligned}b & =a-2\\a=1 \implies b & =1-2\\b & = -1\end{aligned}[/tex]
Answer:
a = -7/3
b = -13/3
Step-by-step explanation:
Making equations in terms of 'a' and 'b' :
g(2) = -5 = a(2)² - b ⇒ 4a - b = -5 [Equation 1]g(-1) = 2 = a(-1)² - b ⇒ a - b = 2 [Equation 2]Subtract : Equation 1 - Equation 2
4a - b - a + b = -5 - 23a = -7a = -7/3Finding b :
-7/3 - b = 2b = -7/3 - 6/3b = -13/3What is the approximate volume of a cylinder with a radius of 3 centimeters and a height of 4 centimeters?
Use 3.14 for π and round the answer to the nearest tenth.
Answer:
113.04 cm
Step-by-step explanation:
Answer:113
Step-by-step explanation:
Which survey question could have been asked to produce this data display?
A. How long did it take you to walk to the waterfall and back?
B. How many times did you walk to the park last month?
C. How far did you walk today?
D. What is the length of the street you live on?
Answer:
C
Step-by-step explanation:
The only way to know if you he waked this amount of distance is to know how much they walked today! So the answer is C
Answer: Your answer is C how far did you walk today?
Step-by-step explanation: I did the k12 unit test. (For proof) it has 10 questions. Question number sevens question is Which term describes the distribution of this graph? and part of the name is Unit Test: Data Distribution - Part 1.
Hope it helped please mark me brainliest :D
please help and ty if u do <33
Answer:
[tex]3^{-5} =\frac{1}{3^{5} } = (\frac{1}{3} )^{5}[/tex]
[tex]5^{-3} = \frac{1}{5} *\frac{1}{5} *\frac{1}{5} = \frac{1}{5*5*5}[/tex]
Step-by-step explanation:
15 and 1/15 do not equal anything.
Hope this helped!
Identify the vertex, equation of the axis of symmetry, y-intercept, and zeros of the graph of a quadratic function.
Answer:
See below ~
Step-by-step explanation:
Details of Graph
Vertex = (-3, 4)Axis of Symmetry : x = -3Y-intercept : -5Zeros : (-5, 0) and (-1, 0)NO LINKS!!! Please help me with this graph part 3a
Answer:
g(x) = -|x| - 8
Step-by-step explanation:
Finding the values of a, h, and k :
a = slope of the line
a = -10 + 8 / 2 - 0a = -2/2a = -1h = any horizontal shift (left/right)
As it lies on the y-axis, we can conclude no horizontal shift has taken placeh = 0k = vertical shift (up/down)
It has shifted 8 units downk = -8Forming the equation :
⇒ g(x) = (-1)|x - 0| - 8
⇒ g(x) = -|x| - 8
Answer:
[tex]\large{\boxed{\sf y = -1|x-0| -8}}[/tex]
Explanation:
Absolute value of a graph formula:
y = a |x -h| + kIdentify the vertex : (h, k) = (0, -8)
Take two points: (0, -8), (1, -9)
[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \ \dfrac{-9-(-8)}{1-0} \ \ = \ \ -1[/tex]
Put them together : [tex]\bf y = -1|x-0| -8[/tex]
The measure of angle 1 (10x+8) and the measure of angle 3 (12x-10). What is the measure of angle 2 in degrees? 9 98 82 16
Answer: 82
Step-by-step explanation:
A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players
weighing greater than or equal to 167 pounds?
The percentage of players weighing greater than or equal to 167 pounds is 75%.
What percentage of students weigh greater than 167 pounds?A box plot is used to study the distribution and level of a set of scores. On the box, the first line to the left represents the lower (first) quartile. 25% of the score represents the lower quartile.
On the box plot, the lower quartile is 167.
Students that weigh greater than 167 = 100 - 25 = 75%
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68.8% complete
Question
You work for a lawn service and need to prepare fertilizer for the day. The directions state that you should mix four ounces of fertilizer for every ten gallons of water. The tank holds 50 gallons of water. You want to have a full tank to start the day’s work. How many ounces of fertilizer should you add to the tank?
A.4 ounces
B.8 ounces
C.20 ounces
D.40 ounces
E.200 ounces
Answer: 20. D.
Step-by-step explanation: 10 times 5 = 50. 4 times 5 = 20.
I hope this is right.
If p varies jointly as q and the cube
of r, and p
= 270 when q = 6 and
r = 3, find p when q = 3 and r = 5.
Answer:
625
Step-by-step explanation:
p= Kqr³
where K is the constant
K = p/qr³ = 270/6•3³
K= 5/3
p = 5/3• qr³
p = 5/3• 3• 5³
p = 5⁴
p= 625
Hope it helps! :)
Help me solve equations
2=2+g/4
Answer:
g = 0.Step-by-step explanation:
Solve:
2 = 2 + g/4g/4 = 2 - 2= g/4 = 0.g = 0.Answer is g = 0.[tex]\rule{250}{2}[/tex]
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Solve 2=2+g/4
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
When solving an equation, we need to make sure all variables are on the left-hand side, and all numbers are on the right.
Since we have numbers on both sides, we need to move them to one side, as follows:-
[tex]\Longrightarrow\sf{2-2=g/4}[/tex]
[tex]\longrightarrow\sf{0=g/4}[/tex]
Now, we multiply by 4 on both sides to get rid of the fraction:-
[tex]\longrightarrow\sf{0\times4=g/4\times4}[/tex]
[tex]\longrightarrow\sf{0=g}[/tex]
So we conclude that g=0.
Good luck with your studies.
[tex]\rule{300}{3}[/tex]
Kathy sells encyclopedias and earns $40 for each set she sells. How many sets did she sell if she earned $600 last week?
Answer:
15
Step-by-step explanation:
Given:
Kathy sells encyclopedias and earns $40 for each set she sells.
To Find:
How many sets did she sell if she earned $600 last week?
Solve:
Since kathy sells encyclopedias and earns $40 for each set she sells.
And if kathy total is $600
then we do
$600 divide by $40
600/40 = 15
Hence, she sold 15 sets last week.
Kavinsky
Answer:
15
Step-by-step explanation:
This is basically 600/40
600/40 = 15
Henry made a shirt using 1/3 yards of yellow fabric and 1/2 yards of red fabric. How many yards of fabric did he use in all?
Write your answer as a fraction in simplest form.
I think that the answer is 123
Let's Check In
Identify the slope of the following equation.
1
4x+y=3
A. 72 = -2
B. m = 4
C = -8
D = 10
Answer:
slope (m) = -4
Step-by-step explanation:
Equation: 4x + y = 3
need to get into to y = mx + b form
m is the slope
b is the y-intercept
4x + y = 3 subtract 4x from both sides
4x - 4x + y = 3 - 4x
y = -4x - 3
m = -4
A. 72 = -2 not true expression
B. m = 4 positive 4 not negative
C = -8 ?????
D = 10 ?????
none of the choices are right
Find the distance between point P and line I
Line I contains points (3,2) and (7,-1). Point P has coordinated (2,9)
Answer: 8
Step-by-step explanation: divion
Answer:
Step-by-step explanation:
What is the value of the x-coordinate of point A?
Choose 1 answer
A) sin(50)
B) cos(50)
C) sin(140)
D) cos(140)
E) sin(230)
F)cos(230)
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
Answer:
42 degrees
Step-by-step explanation:
48 + x = right angle = 90 degrees
48+ x = 90
x = 42 degrees
Calculate the accumulated amount after 3 years, if R5 000 is invested at an interest rate of 10% compounded quarterly?
Answer:
R6,724.44 or so I think that's right
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &3 \end{cases} \\\\\\ A=5000\left(1+\frac{0.10}{4}\right)^{4\cdot 3}\implies A=5000(1.025)^{12}\implies A\approx 6724.44[/tex]
What kinds of sports are played by one person?
A. Mixed
B. Individual
C. none of these
D. Team
ryan’s mom randomly chooses two days each week for Ryan to do his chores. what is the probability that she picks Saturday and Sunday?
Answer:
2/7= 28.6%
Step-by-step explanation:
Since those are 2 specific days out of seven, we divide it so that there are 2/7 days. Then we change it to a percentage, which would be the equation of 2/7*100, which is equal to 28.57%, which rounds to 28.6%.
please help me thank you
Answer:
2.5
Step-by-step explanation:
mean=sumfx/sumf
1×2+2×2+3×5+4×1/2+2+5+1
25/10
2.5