rectangular room is 15 feet long and 12 feet wide.a . How many feet of baseboard are needed to reach around the room? (Ignore door openings.) b . How many one-foot-square tiles are needed to cover the floor
Points A, P, and B are collinear on AB, and PB:AB = 2/7. A is located on the origin (0,0), P is located at (10, -5), and B is located at (x, y). Which axis is closer to B, the x-axis or the y-axis? Justify your answer.
I don't know how to show the work.
Answer:
The x-axis is closer to B.
Step-by-step explanation:
Since the ratio PB:AB = 2/7 is positive, the line divides internally. So, we use the equation for the coordinates of a point that internally divide a line.
So, x = (mx₂ + nx₁)/(m + n) and y = (my₂ + ny₁)/(m + n)
where PB/AB = 2/7 = n/m. So, n = 2 and m = 7
Also, Point A = (0,0) = (x₁, y₁) and point P = (10, -5) = (x₂, y₂).
Substituting these values into x and y, we have
x = (mx₂ + nx₁)/(m + n)
x = (7(10) + 2(0)₁)/(7 + 2)
x = (70 + 0)/9
x = 70/9
x = 7⁷/₉
y = (my₂ + ny₁)/(m + n)
y = (7(-5) + 2(0)₁)/(7 + 2)
y = (-35 + 0)/9
y = -35/9
y = -3⁸/₉
So, the x and y coordinates of B are 7⁷/₉ and -3⁸/₉ respectively. So, point B is -3⁸/₉ units away from the x-axis and 7⁷/₉ units away from the y-axis. So the x-axis is closer to B.
If point Cis between points A and B, then AC + CB =
A. BC
B. ABC
C. AB
D. CA
Answer:
C AB
Step-by-step explanation:
When, point C is between points A and B,
Then, AC + CB = AB
What is mean by Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
A point C is between points A and B,
Now, When point C is between points A and B,
Then, We get;
⇒ AC + CB = AB
Thus, When, point C is between points A and B,
Then, AC + CB = AB
Option C is true.
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Part of the population of 4,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 12 of them are infected. How many elk are likely to be infected? Based on the sample, there will likely be infected elk in the wildlife preserve.
Answer:
876
Step-by-step explanation:
7689686896
order each number greatest to least 1/2, -2, square root of 5, -7/4, 2.4
PLEASE HELP ME
Answer:
I think its
2.4, square root of 5, 1/2, -7/4, -2
hope this helps :D
Cooper will deposit $1,500 into an account that earns 7% simple interest every year. His sister Trinity will deposit $1,800 into an account that earns 6% simple interest every year. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Which statement about the balances of Cooper's and Trinity's account at the end of 3 years is true?
Answer:
For Cooper :
Simple interest = $315
The total amount he would have in his account = $1815
For Trinity :
Simple interest = $324
The total amount she would have in her account = $2124
Trinity's interest is higher than Cooper's interest by $9
The total amount of money Trinity would have at the end of 3 years is higher than that of Cooper by $309
Step-by-step explanation:
Simple interest = principal x rate x time
Value = amount deposited + simple interest
For Cooper :
Simple interest = $1,500 x 0.07 x 3 = $315
The total amount he would have in his account = $1,500 + $315 = $1815
For Trinity :
Simple interest = $1800 x 0.06 x 3 = $324
The total amount she would have in her account = $1,800 + $324 = $2124
what is the value of m in −4(m−26)=−12m
Answer:
M = -13
Step-by-step explanation:
Divide both sides by -4−4.
m−26=3m
Subtract mm from both sides.
−26=3m−m
Simplify 3m - m to 2m.
−26=2m
Divide both sides by 2
− 26/2=m
Simplify 26/2 to 13
-13=m
Switch sides.
m=13
Answer:
-13
Step-by-step explanation:
1. First distribute
2. Then get m on one side by adding 4m to both sides
3. Combine the numbers with the variable m
4. You need to get m by itself so divide both sides of the equation by -16
5. You should get m=-13
1.-4(m-26)=-4m+104 4m+4m+104=-12m
2. 104=-12m-4m
3. 104=-16m
4. 104/-13=-16/-16m
5. -13=m
17) Eli packed 1,920 peanuts into 8 sacks. He packed an equal number of peanuts in each sack. How many peanuts did he pack into each sack?
Answer:
240
Step-by-step explanation:
you have to divide 1,920 by 8
if h(x)=5+c and k(h)=1/x, which expression is equivalent to (k•h)(x) a. (5+x)/x b.1/(5+x) c. 5+(1/x) d. 5+(5+x)
Answer:
A
Step-by-step explanation:
We are given the two functions:
[tex]\displaystyle h(x)=5+x \text{ and } k(x) = \frac{1}{x}[/tex]
And we want to find:
[tex](k\cdot h)(x)[/tex]
Recall that this is equivalent to:
[tex]\displaystye (k\cdot h)(x) = k(x) \cdot h(x)[/tex]
Substitute and simplify:
[tex]\displaystyle \begin{aligned} (k\cdot h)(x) & = \left(\frac{1}{x}\right)(5+x) \\ \\ & = \frac{5+x}{x} \end{aligned}[/tex]
In conclusion, our answer is A.
Answer:
A. (5 + x) / x
Step-by-step explanation:
h(x) = 5 + x
k(h) = 1 / x
express the above to (k*h)(x)
(k*h)(x) = (1 / x) * (5 + x)
= 1/x (5+x)
= 1 * (5 + x)
x
= 1 (5 + x) = 5 + x
= 5 + x
x
What is the area of the composite figure?
4 in
O (877 + 6) in.2
(817 + 12) in 2
(877 + 18) in 2
(81T + 24) in 2
3 in
Answer:
8π + 12 in²
Step-by-step explanation:
Just add the areas of the semicircle and the triangle.
7x − 3(x − 1) = 2(2x + 3)
Answer:
no solution
Step-by-step explanation:
A chess club with 60 members is electing a new president. Karen received 39 votes. what percentage of the club members voted for Karen?
Answer:
65% voted for Karen
Step-by-step explanation:
Answer:
65%
Step-by-step explanation:
If the 11th term of a geometric sequence is 32 times larger than the 6th term, then what is the common ratio of the sequence?
Answer:
2
Step-by-step explanation:
Given that:
11th term of a geometric sequence is 32 times larger than the 6th term
The nth term of a geometric sequence is given by:
An = A*r^(n-1)
Where An = the nth term ; r = common ratio and n = term number ; A = first term
The 11th term:
A6 = A*r^(6 - 1) = Ar^5
A11 = 32A6 = 32Ar^5
A11 = Ar^(11 - 1) = Ar^10
Hence,
Ar^10 = 32Ar^5
r^(10 - 5) = 32
r^5 = 2^5
Hence, r = 2
In Vancouver, the high temperature for the day was 6° C. On the same day, the high temperature in Calgary was −3° C. What was the difference in high temperatures between the two cities?
Answer:
9
Step-by-step explanation:
|6|+|-3|=9
Jaime flipped a coin 20 times, and it landed on heads 15 out of the 20 times. Which would be the BEST way for Jaime to change his experiment so that his experimental probability of the coin landing on heads is closer to the theoretical probability?
Answer:
what is theoretical probability
What is 5.57575757... as a fraction ?
Answer:
[tex]\frac{5.57575757}{1}[/tex]
Step-by-step explanation:
Assuming you can't use a calculator:
5.575757... = 5 + 0.575757...
let 0.575757... = x
1) Substitute x for 0.575757...
5.575757... = 5 + x
2) Multiply both sides by 100
100(5.575757...) = 100(5+x)
557.575757... = 500 + 100x
3) Subtract 500 from both sides
57.575757... = 100x
4) 57.575757... can be written as 57 + 0.575757...
57 + 0.575757... = 100x
5) Substitute x for 0.575757...
57 + x = 100x
6) Subtract x from both sides
57 = 99x
7) divide both sides by 99
x = 57/99
8) plug in 57/99 for x in our original equation
5.575757... = 5 + (57/99)
9) simplify
5.575757... = ((5*99)/99) + (57/99)
5.575757... = (495/99) +(57/99)
5.575757... = (495+57)/99
5.575757... = 552/99
5.575757... as a fraction is 552/99
3x-2y = -1
у= 4х - 7
Answer:
x =3
y =5
Step-by-step explanation:
Solve by substitution
[tex]\begin{bmatrix}3x-2y=-1\\ y=4x-7\end{bmatrix}\\\\\mathrm{Subsititute\:}y=4x-7\\\\\begin{bmatrix}3x-2\left(4x-7\right)=-1\end{bmatrix}\\\\\mathrm{Simplify}\\\begin{bmatrix}-5x+14=-1\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-5x+14=-1:\quad x=3\\\mathrm{For\:}y=4x-7\\\\\mathrm{Subsititute\:}x=3\\y=4\times\:3-7\\\\Simplify\\y=5\\x=3,\:y=5[/tex]
What is the value of x in the equation −6 + x = −2? (5 points) a 8 b 4 c −4 d −8
Answer: Bippie boppy boo the answer is true!
Step-by-step explanation: It is B! I did the test
At McDonald’s, a cheeseburger has 1/10 pound of meat. A
quarter-pounder has 1/4 pound of meat.
a. How much more meat is used for the quarter-pounder?
Answer:
3/20 of more meat is used for a quarter pounder
When you are translating a function what does +d mean and -d mean
Answer:
ONe is postive and the other is negetive
Step-by-step explanation:
What is the domain of the
quadratic parent function y=x2?
Answer:
[tex]\Large \boxed{\mathrm{All \ real \ numbers}}[/tex]
Step-by-step explanation:
[tex]y=x^2[/tex]
The domain are the set of all possible values for x.
There are no restrictions on the value of x.
The domain is all real numbers.
PLz help 20 POINTS ASAP
Answer:
2, 1, 3, 4
Step-by-step explanation:
For future reference:
Make all the numbers (accept for the second one) into a common form. For example a decimal.
For the first one, it will simplify into 3/2 since both 9 and 4 can be easily rationalized.
The second can't be written as a decimal, but it will easily become the least greatest number.
The third is already a decimal and the fourth could just be divided 5/3 using a calculator.
From there you'll have
1.5, /5, 2.5, and 1.67
Answer:
1: 9/4
2: 5/3
3: 2.5
4. 5
Step-by-step explanation:
the square root of 9/4 is 1.5
5/3 = 1.6
2.5
and the square root of 5 is 2.23
Which parent functions have no symmetry?
Cubic
Quadratic
Greatest Integer
Square Root
Exponential
Rational
Linear
Absolute Value
Answer:
Square Root, Greatest Integer
Step-by-step explanation:
Functions can be symmetrical in two ways: They can be symmetrical across a line or symmetrical across a point.
In a Square root function, when reflected across the y-axis, the graph has no symmetry because -x returns a different value when plugged into the function.
For a Greatest Integer function, with [tex]\lfloor x \rfloor[/tex], if we change the value of x to -x and we floor -x, we get a different value than the original.
Hope this helped!
If angle ABC measures 35 degrees and angle BAC measures 115 degrees, what’s the angle measure of DCB?
Answer:
30 degrees
Step-by-step explanation:
Assuming you are talking about a triangle, you would add 35 and 115 to get 150. Then subtract from 180.
35+115=150
180-150=30
If a point (5.2) is rotated counterclockwise 90° about the origin, its image will be point
Answer:
(-5.-2)
Step-by-step explanation:
I hope this helps u
Answer: (-2,5)
Step-by-step explanation:
90 degrees counter clockwise= (x,y)->(-y,x)
slader The logarithmic equation is a nonlinear regression equation of the form ya. The accompanying data are the shoe sizes and heights (in inches) of men. Graphs of the regression line and the logarithmic equation are also provided. Which equation is a better model for the data? Explain.
Answer:
The graphs and the table is missing in the question.
Step-by-step explanation:
The guidelines for interpreting correlation co-efficient r are :
1. Strong correlation 0.7<|r|≤1
2. Moderate correlation 0.4<|r|<0.7
3. Weak correlation 0.2<|r|<0.4
4. No correlation 0≤|r|<0.2
Logarithmic regression
(i). Mean : [tex]$ {\overset{-}{ln}x} = \frac{\sum ln x_i}{n}, \ \ \ {\overset{-}y} = \frac{\sum y_i}{n} $[/tex]
(ii) Trend line : [tex]$ y = A +B \ln x, \ \ B = \frac{S_{xy}}{S_{xx}}, \ \ A={\overset{-}y-B{\overset{-}{\ln x}}}$[/tex]
(iii). Correlation coefficient : [tex]$ r = \frac {S_{xy}}{\sqrt{S_{xx}} \sqrt{S_{yy}}} $[/tex]
[tex]$ S_{xx} = \sum (\ln x_i - {\overset{-}{\ln x}})^2 = \sum (\ln x_i)^2-n. ({\overset{-}{\ln x}})^2$[/tex]
[tex]$ S_{yy} = \sum(y_i - {\overset{-}y})^2 = \sumy_i^2 - n. {\overset{-}y^2}$[/tex]
[tex]$ S_{xy} = \sum(\ln x_i - {\overset{-}{\ln x}})(y_i-{\overset{-}y}) = \sum \ln x_i y_i - n. {\overset{-}{\ln x}}{\overset{-}y} $[/tex]
Now using the technology we can calculate
The equation of the regression curve is y = A + B(lnx)
we get A = 30.72 , B = 17.19
The equation of regression curve is [tex]$ \hat y$[/tex] = 30.72 + 17.19(lnx)
Determine which of the following are the solutions to the equation below.
Answer:
D
you want to use the quadratic formula so you send the 6 over with the x² so you substact 6 on both sides and and and invisible 0x having your equation x²+0x-6 and substitute that equation into the quadratic formula
I just need the answer thanks. D is 57 ouces if you can't see it
Answer:
c) 20 ounces
Step-by-step explanation:
If EF=2x-8, FG=4x-13 and EG= 27 find the. Value of x
Answer:
[tex]\Huge \boxed{x=8}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
E ———— F ———— G
EG = EF + FG
27 = (2x - 8) + (4x - 13)
Combining like terms.
27 = 6x - 21
Adding 21 to both sides.
48 = 6x
Dividing both sides by 6.
8 = x
[tex]\rule[225]{225}{2}[/tex]
The value of the variable x will be 1.
What is a line segment?A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
If EF = 2x - 8, FG = 4x - 13, and EG = 27.
Point F lies on the line segment EG. Then we have
EG = EF + FG
27 = 2x - 8 + 4x - 13
27 = 6x - 21
6 = 6x
x = 1
Then the value of the variable x will be 1.
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Benito embroiders and sells T-shirts. The graph shows his profit as a function of the number of shirts sold. After selling a certain number of shirts, Benito uses some earnings to buy more materials and then increases the price of the shirts. Which of the following is true? A coordinate plane with 12 distinct points plotted which are not connected. The points are 0 comma negative 20, 1 comma negative 10, 2 comma 0, 3 comma 10, 4 comma 20, 5 comma 30, 6 comma 40, 7 comma 50, 8 comma 25, 9 comma 40, 10 comma 55, and 11 comma 70. Group of answer choices The x-intercept represents the shirts he has to sell before making a profit. Benito increases the price after selling 50 shirts. The y-intercept represents the cost of one T-shirt. The domain of the function is {x | x is a real number greater than or equal to 0}.
Answer:
The correct option is;
The x-intercept represents the shirts he has to sell before making a profit
Step-by-step explanation:
The given data are;
(0, -20), (1, -10), (2, 0), (3, 10), (4, 20), (5, 30), (6, 40), (7, 50), (8, 25), (9, 40), (10, 55), (11, 70)
The data show a linear relationship because successive data point increases by the same amount of 10 for x between 0 and 7 and 15 for x between 8 and 11;
Therefore;
Slope, m of the first linear portion using points (2, 0), and, (4, 20) gives;
m = (20 - 0)/(4 - 2) = 10
The equation of the line is therefore;
y - 20 = 10·(x - 4)
y = 10·x - 40 + 20
y = 10·x - 20
The y-intercept (x = 0) is y = -20
The x-intercept (y = 0) is found as follows;
0 = 10·x - 20
20 = 10·x
10·x = 20
x = 20/10 = 2
Therefore, when x = 2 we have;
Profit = y = 10·x - 20 = 10×2 - 20 = 0
Which can be expressed as, he has to sell more than 2 shirts to make profit
Therefore, the correct option is that the x-intercept represents the shirts he has to sell before making a profit.