Answer:
a: m=5/3
b: m=-3/5
Step-by-step explanation:
first, before answering the questions, let's change the line from standard form (ax+by=c), where a and b are free coefficients into slope-intercept form (y=mx+b), where m is the slope and b is the y intercept
subtract 5x from both sides
-3y=-5x+7
divide by -3
y=5/3x-7/3
now to answer part a:
parallel lines have the same slopes, but different y intercepts.
the slope of the given line is 5/3, so therefore, a parallel line to the line y=5/3x-7/3 will also be 5/3
part b:
perpendicular lines have slopes that are negative and reciprocal; if you multiply them together, the result is -1
so to find the slope of a perpendicular line, use this formula:
5/3m=-1
multiply by 3/5 to isolate the variable
m=-3/5
therefore the slope of a perpendicular line will be -3/5
hope this helps!
A closet in the shape of a rectangular prism is 2 feet deep, 5 feet wide, and 7 feet tall. What is the volume of the closet in cubic feet?
Answer:
70 cm
Step-by-step explanation:
Answer:
70 cubic feet
Step-by-step explanation:
First step is to multiply the 2 feet deep by th 5 feet wide. which is also written as:
2*5=10
Next multiply 10 by the 7 feet tall. You can write this like:
10*7=70
70 cubic feet is the answer
Draw an equilateral triangle of perimeter 10 centimetres.
Answer:
See attachment for triangle
Step-by-step explanation:
Given
Shape: Equilateral triangle
[tex]Perimeter = 10cm[/tex]
Required
Draw the triangle
First, we determine the side lengths.
The perimeter of an equilateral triangle is:
[tex]Perimeter = 3 * Length[/tex]
So, we have:
[tex]10= 3 * Length[/tex]
Solve for Length
[tex]Length = \frac{10}{3}[/tex]
[tex]Length = 3.33[/tex]
See attachment for triangle
What is volume of cube 3 2/3 all sides
A development expert wants to use a one-sample z interval to estimate the proportion of women aged 16 and over that are literate in Albania. They take an SRS of 50 women from this population and find that 48 are literate.
Which conditions for constructing this confidence interval did their sample meet?
Answer: The data is a random sample from the population of interest. Individual observations can be considered independent.
Step-by-step explanation:
The condition for constructing this confidence interval :
A) The data is a random sample from the population of interest.
C) Individual observations can be considered independent.
The correct options are A and C.
What is a confidence interval?A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.
Given:
A development expert wants to use a one-sample z interval to estimate the proportion of women aged 16 and over that are literate in Albania. They take an SRS of 50 women from this population and find that 48 are literate.
From the given choices:
The condition for constructing this confidence interval :
A) The data is a random sample from the population of interest.
C) Individual observations can be considered independent.
Therefore, A and C are the correct options.
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The complete question:
A development expert wants to use a one-sample zzz interval to estimate the proportion of women aged 16 and over that are literate in Albania. They take an
SRS of 50 women from this population and finds that 48 are literate.
Which conditions for constructing this confidence interval did their sample meet?
Choose all answers that apply:
A
The data is a random sample from the population of interest.
B
The observed counts of successes and failures are both sufficiently large.
C
Individual observations can be considered independent.
The sum of 2 numbers is 11 and the difference is 5
Answer:
let no. be x and y.
we have
x+y=11.......(1)
x-y=5........(2)
adding equation 1&2
x+y+x-y=11+5
2x=16
x=16/2=8
again
8-y=5
y=8-5=3
:.
x=8,y=3
What is the mean of the following data set? 6, 7, 3, 8, 6, 6, 2, 9, 7 A 8 B 9 C 6 D 7
Answer:
The mean is 6.
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the perimeter of the base is 16.1 ft and the height of the pyramid is 12.1 ft. Round your answer to the nearest tenth of a cubic foot?
Answer: V= 65.3 ft^3
At Gabrielle's Restaurant, 2/5 of the dishes on the menu are vegetarian, or the vegetarian
dishes, 3/4 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta
dishes?
Round 367.25 to the nearest 100th of a second
What is the simplest form of 1/6 divided by 2
Answer:
1/12
hope this helps
have a good day :)
Step-by-step explanation:
The solution is 1/12 , is the simplest form of 1/6 divided by 2.
What is division?Division is the process of splitting a number or an amount into equal parts.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
1/6 divided by 2
i.e. 1/6÷ 2
=1/6* 1/2
=1/12
Hence, The solution is 1/12 , is the simplest form of 1/6 divided by 2.
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Ice cream: A certain ice cream parlor offers fifteen flavors of ice cream. You want an ice cream cone with three scoops of ice cream, all different flavors.
Part 1 of 2
In how many ways can you choose a cone if it matters which flavor is on top, which is in the middle and which is on the bottom?
de
The number of ways to choose a cone, if order matters, is
Answer:
The number of ways to choose a cone, if order matters, is 45.
Step-by-step explanation:
Given that a certain ice cream parlor offers fifteen flavors of ice cream, and you want an ice cream cone with three scoops of ice cream, all different flavors, to determine in how many ways you can choose a cone if it matters which flavor is on. top, which is in the middle and which is on the bottom, the following calculation must be performed:
15 x 3 = X
45 = X
The number of ways to choose a cone, if order matters, is 45.
answer this asap I'm desperate :( ...we both were sweating like two pigs" is an example of...
allusion
metaphor
hyperbole
simile
Answer:
sorry
Step-by-step explanation:
don't know I m in 8th
I will surely help you
Answer:
Simile
Step-by-step explanation:
A simile is a figure of speech that directly compares two things. Similes differ from other metaphors by highlighting the similarities between two things using comparison words such as "like", "as", "so", or " than", while other metaphors create an implicit comparison.
Hope this helps! If you have any questions revolving around this topic,feel free to ask me and I will be happy to help!
Another area and perimeter question!!!
Pls helppppp
Answer:
D. 62 inches
Step-by-step explanation:
the object is symmetrical across z, so the lengths on the other side will be the same as x and y
the perimeter would just be 2x + 2y = 2(12) + 2(19) = 62 inches
Consider the following IP problem.
Max z = 5x1+x2
s.t. − x1 + 2x2 ≤ 4
x1 − x2 ≤ 1
4x1 + x2 ≤ 12
x1,x2 ∈Z+
1. Solve graphically
2. Solve the LP relaxation of the problem graphically. Round this solution to the nearest integer solution and check whether it is feasible. Then enumerate all the rounded solutions by rounding this solution for the LP relaxation in all possible ways (i.e., by rounding each non-integer value both up and down). For each rounded solution, check for feasibility and, if feasible, calculate z. Are any of these feasible rounded solutions optimal for the IP problem?
Answer:
See Annex
Step-by-step explanation:
The relaxation of any Linear Programming problem, consists of eliminating the integer constraint condition, keeping the original constraint and the objective function, solving the problem as continuous variables. If in such new condition we find that optimal solution consist of integer solution we have found optimal solution already, if not we need to go ahead with the branching procedure of making variables integer above and down of the fractional values.
In this particular case ( see GeoGebra graphic solution attached changing x₁ and x₂ by x and y respectively ), and Objective Function in red we got integer solution :
z(max) = 11
x₁ = x = 2
x₂ = y = 1
Can you guys help? It’s writing an equation of line given.
Answer:
Step-by-step explanation:
y = - x - 4 (slope-intercept form)
x + y = - 4 (standard form)
УА
8
Н
7
E
6
K
5
4
F
3
G
2
1
0
0 1 2 3 4 5 6 7 8 X
How do the temperatures compare? Order the temperatures from coldest to warmest
52°F
51.8°F
37.3°F
-17°F
-43.6°F
-37.4'F
which order
Answer:
-43.6° F, -37.4° F, -17° F, 37.3° F, 51.8° F, 52° F
Step-by-step explanation:
The greater the number, the warmer the temperature.
Which set of numbers is ordered from least to greatest?
Answer:
B.3.2 ,3.317 ,3.606 ,3.61.
Step-by-step explanation:
i guess that is the answer,but if it isn't tell me I may try it again.good day.
Does anyone know the answer to this?
Answer:
x=18 and y=106
Step-by-step explanation:
alonzo has a job and makes 13.50 per hour he works 9 hours how much money does he take home
a slice of a right square pyramid perpendicular to its base but not through its top vertex
A. Square
B. Trapezoid
Answer:
This is a trapezoid.
Step-by-step explanation:
Write a decimal that is less than 3.45 but greater than 3.0. helppp!
Answer:
any decimal between 3.0 and 3.45. You can,use 3.25 if u don't wanna think about it
Answer:There are mutipal answers but here’s one 3.1
Step-by-step explanation:
Several hours after departure the two ships described to the right are 50 miles apart. If the ship traveling south traveled 10 miles farther that the other how many miles did they each travel.
Answer:
[tex]Ship\ A = 40\ miles[/tex]
[tex]Ship\ B = 30\ miles[/tex]
Step-by-step explanation:
Given
[tex]d = 50[/tex] --- distance apart
[tex]Ship\ B = x[/tex]
[tex]Ship\ A = x + 10[/tex]
The question can be represented with the attached image.
Required
Solve for x
Using Pythagoras theorem, we have:
[tex]x^2 + (x + 10)^2 = 50^2[/tex]
Open bracket
[tex]x^2 + x^2 + 20x + 100 = 2500[/tex]
Collect like terms
[tex]x^2 + x^2 + 20x + 100 - 2500 = 0[/tex]
[tex]2x^2 + 20x -2400 = 0[/tex]
Divide through by 2
[tex]x^2 + 10x -1200 = 0[/tex]
Expand
[tex]x^2 + 40x - 30x -1200 = 0[/tex]
Factorize
[tex]x(x + 40) - 30(x +40) = 0[/tex]
Factor out x + 40
[tex](x - 30)(x +40) = 0[/tex]
Split and solve for x
[tex]x - 30 = 0\ or\ x + 40 = 0[/tex]
[tex]x = 30\ or\ x = -40[/tex]
Distance can not be negative
So:
[tex]x = 30[/tex]
Recall that:
[tex]Ship\ B = x[/tex]
[tex]Ship\ A = x + 10[/tex]
This implies that:
[tex]Ship\ B = 30\ miles[/tex]
[tex]Ship\ A = 30 + 10\ miles[/tex]
[tex]Ship\ A = 40\ miles[/tex]
Let's say you have a 4 gallon and a 10 gallon pailHow can you measure exactly 2 gallons of water?
You can fill the 10 gallon pail all the way up. After that, you can pour the water from the 10 gallon pail, into the 4 gallon pail 2 times. That will leave you with 2 gallons in the 10 gallon pail.
Carmen runs each lap in 4 minutes. She will run less than 28 minutes today. What are the possible numbers of laps she will run today?
Answer:
# of laps < 28, the number of laps will be less than 28.
1 lap = 4 minutes
28 laps = 112 minutes
Because we want less than 28 laps,
27 laps = 108 minutes
She can run any amount of laps less than 28.
There are 150 people in the library. If 60 of them are girls, what percent of the people in the library are girls?
Answer:
40% are girls
Step-by-step explanation:
60/150=0.4=40%
Sally's bank account had a balance of 230 at the beginning of the month. She had two deposits of 50 and 420 and just one withdrawal of 190. Her balance at the end of the month was $______ ?
Answer:
510
Step-by-step explanation:
Sally bank account had a beginning balance of 230
She made two deposits of 50 and 420
50+420
= 470
She made a withdrawal of 190
Therefore her balance at the end of the month can be calculated as follows
470+230
= 700
= 700-190
= 510
Hence the balance at the end of the month is 510
A ball is tossed into the air. The quadratic function
h(t) = -16t2 + 14t + 5 represents the situation, where t
represents the time, in seconds, after the ball is tossed
and h(t) represents the height of the ball, in feet. Which
of the following statements is NOT true?
Answer: The leading coefficient indicates that the graph of the parabola that represents the ball’s height over time will open in an upward direction
Step-by-step explanation:
Function f is differentiable and decreasing for all real numbers. If y=f(2x^3 - 3x^2), for which of the following intervals of x will the value of y NOT be decreasing?
Answer:
The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.
In the diagram, △NPQ ∼ △NLM and PL = 8.
a. Find the value of x
b. Find the lengths NP and NL, rounding to the nearest hundredth.
NP =
and NL =
Answer:
x = 14
NP = 3.66
NL = 8.01
Step-by-step explanation:
since △NPQ ∼ △NLM
<L = <P
3x + 18 = 60
3x = 60 - 18
3x = 42
x = 42/3
x = 14
Similarly;
PN/PL = QN/QM
y/8 = 3.2/7
Cross multiply
7y = 3.2* 8
7y = 25.6
y = 25.6/7
y = 3.66
Hence NP = 3.66
Also
NP/NQ = NL/NM
3.66/3.2 = NL/7
3.2NL = 7 * 3.66
3.2NL = 25.62
NL = 25.62/3.2
NL = 8.01
Two triangle are similar if they have the same ratio of the corresponding sides and equal pair of corresponding angle. The value of the x is 14 degrees, the length of the NP is 3.7 cm (round to the nearest hundred), and the length of the NL is 8 cm ( round to the nearest hundred).
Given information-The given tingle NPQ and triangle NLM are the similar triangle.
The length of the line PL is 8 cm.
Similar triangle-Two triangle are similar if they have the same ratio of the corresponding sides and equal pair of corresponding angle.
Value of the x-
As the two triangle are similar triangle, thus the length of the angle P is equal to the angle L. Therefore,
[tex]\angle L =\angle P\\ [/tex]
Keep the value of the angle from the diagram,
[tex]\begin{algined}\\ 3x+18&=60\\ 3x&=60-18\\\\ 3x&=42\\ x&=\dfrac{42}{3} \\ x&=14\\ \end[/tex]
Thus the value of the x is 14.
The length of the NP.
In the similar triangle the following ratios are equal,
[tex]\dfrac{PN}{PL} =\dfrac{QN}{QM} [/tex]
Put the values from the diagram,
[tex]\begin{aligned} \dfrac{y}{8}&=\dfrac{3.2}{7} \\ y&=\dfrac{3.2}{7} \times 8\\ y&=3.66\\ \end[/tex]
Value of y is equal to the length NP. Hence the length of the NP is equal to the 3.66 cm.
The length of the NL-
In the similar triangle the following ratios are equal,
[tex]\dfrac{NP}{NQ} =\dfrac{NL}{NM} [/tex]
Put the values from the diagram,
[tex]\begin{aligned} \dfrac{3.66}{3.2}&=\dfrac{NL}{7} \\ NL&=\dfrac{3.66}{3.2} \times 7\\ y&=8.01\\ \end[/tex]
Thus the length of the NL is equal to the 8.01 cm.
Hence the value of the x is 14 degrees, the length of the NP is 3.7 cm (round to the nearest hundred), and the length of the NL is 8 cm ( round to the nearest hundred).
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