Answer:
D?
Step-by-step explanation:
Using point-slope form, write the equation of the line that passes through (–3, 2) and has a slope of 5. A. (y – 2) = 5(x + 3) B. (y – 2) = 5(x – 3) C. (y + 2) = 5(x – 3) D. (y + 2) = –5(x + 3)
Answer:
A. (y - 2) = 5(x + 3)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (-3, 2)
Slope m = 5
Step 2: Write Equation
Substitute in variables into general form.
y - 2 = 5(x + 3)
Complete the table. Round each number to given place. Number 155,999 to nearest hundred
Answer:
156,000
Step-by-step explanation:
Answer:
156,000
Step-by-step explanation:
Note the hundreds place value (underlined and bold):
155,999
Look at the digit value directly next to the given place value (tens place value). It is a 9. Because 9 is greater then 5*, you will round up:
155,999 rounded to the nearest hundreds place value is 156,000.
* Note when rounding:
If the digit to the right of the one you are finding is:
- Less than 5: Round down.
- 5 or greater: Round up.
~
At a certain zoo, the average mass of one cow is measured to be 410 kilograms. Use scientific notation to express the mass of 105 cows.
The scientific notation of the mass of 105 cows is 4.305x10⁴
What is scientific notation?A method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy.
Given that, the average mass of one cow is measured to be 410 kilograms.
Average mass of 105 cows = 105x410 = 43050 kilograms
43050 = 4.305x10⁴
Hence, The scientific notation of the mass of 105 cows is 4.305x10⁴
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Mrs alvares rents skis and poles for 3 days what is the total cost of rental
The total cost of rents is $180.
In the given table,
The cost of skis per day = $48
The cost of pole per day = $12
Now since given that,
Alveres rents for 3 days
Therefore,
The cost of skis for 3 days = $48 x 3
= $144
The cost of pole for 3 days = $12 x 3
= $36
To find the total cost of rental,
Adding the cost of 3 days of skis and cost of 3 days of poles,
Hence,
Total cost of rents = $144 + $36
= $180
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HURRY TIMEDWrite an equation of the line that passes through a pair of points:
(negative 2, 2), (5, negative 5)
a.
y = StartFraction 3 Over 7 EndFractionx – StartFraction 20 Over 7 EndFraction
c.
y = Negative StartFraction 3 Over 7 EndFractionx + StartFraction 7 Over 20 EndFraction
b.
y = Negative StartFraction 3 Over 7 EndFractionx + StartFraction 20 Over 7 EndFraction
d.
y = Negative StartFraction 3 Over 7 EndFractionx – StartFraction 20 Over 7 EndFraction
Answer:
the answer is b
Step-by-step explanation:
Answer:
D.) y= -3/7x - 20/7
Step-by-step explanation:
on edge 2021
in a class of 100 students,50 student pass in mathematics and 70 pass in English 5 student failed in both mathematics and English how many student pass in both the subject
Answer:
Both Mathematics and English : 25
Step-by-step explanation:
Total students: 100
math pass students: 50
English pass students: 70
both failed: 5
Now,
subject student : Total students-failed
: 100-5
: 95
Passed in both Subject: Math+English- S. S
: 50+70-95
: 25
: The students pass in both subject : 25
The length of a rectangular garden is 5 feet less than 4 times its width. Its area is 359 square feet. Find the length and width of the garden. Round answers to the nearest tenth of a foot. Show all work.
Given parameters:
Area of the rectangular garden = 359ft²
Unknown:
length and width of the garden = ?
To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.
Area of a rectangle = Length x Breadth
From the problem statement;
Let w = width of the rectangular garden
L = length of the garden;
Now,
length of a rectangular garden is 5 feet less than 4 times its width
L = 4w - 5
Now let us substitute this into the equation;
Area = L x w
359 = (4w - 5)w
4w² - 5w - 359
Using:
w = -b ± √b² - 4ac / 2a
where b = -5 , a = 4 and c = -359
w = -(-5) ± √-5² - 4(4)(-359) / 2(4)
w = 5 ± √25 + 5744 / 8
w = 5 ± 75.9 / 8
w = \(\frac{5 + 75.9}{8} or \frac{5 - 75.9}{8}\)
w = 10.1ft
The other solution is not possible it will be a negative value. Width value cannot be negative.
So L = 4w - 5 = 4(10.1) - 5 = 35.5ft
The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.
What value of x makes the equation below true 6x-7=26
Answer:
add 7 to both sides which makes
6x=33
divide by 6
x=33/6 or 5.5
Step-by-step explanation:
Answer:
11/2 or 5.5
Step-by-step explanation:
These shapes are similar.
Find X.
5
X
5
30
24
30
The value of x is 4.
To determine the value of x, we can use the concept of similarity between shapes.
Similar shapes have corresponding sides that are proportional to each other.
Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:
5/x = 30/24
To solve for x, we can cross-multiply:
30 · x = 5 · 24
30x = 120
Dividing both sides of the equation by 30:
x = 120 / 30
x = 4
Therefore, the value of x is 4.
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On a map with a scale of 1cm = 15 km, two towns are 7.5 cm apart. How far apart are they in real life?
Answer:
112.5 km apart
Step-by-step explanation:
Multiply 7.5 by 15:
7.5(15)
= 112.5
So, in real life, they are 112.5 km apart
The distance between the two towns is 112.5km in real life.
What is the scale of the map?The scale of the map replaces the original large measurements with the small measurements. To locate the original places and their distances is impossible on a map. In such a case, the large units are converted to small units and used instead of them.
Calculation:The given map shows the distance between two towns as 7.5cm and the scale of the map is given as 1cm = 15km
So, the distance between those two towns is
= 7.5 × 15 km
= 112.5 km
Therefore, the distance between the two towns in real life is 112.5 km.
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Find the x-intercepts of the following parabola.
y=-4x2 + 8x + 12
O A. (-2, 0), (3,0)
OB. (-1,0), (3, 0)
O c. (-2, 0). (6,0)
O D. (6.0), (4,0)
Answer:
B (-1,0), (3,0)
Step-by-step explanation:
Quadratic Formula
A mathematical model is a simplified description of a system or a process. In your opinion, how are mathematical models helpful? What are the advantages and disadvantages of using a model? In what ways are mathematical models linked to the fields of chemistry, biology, and physics? Cite several examples.
Given statement solution is :- Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages: Simplification and abstraction, Prediction and simulation, Cost and time efficiency, Insight and understanding.
Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages:
Simplification and abstraction: Mathematical models allow complex systems or processes to be represented using simplified mathematical equations or algorithms. This simplification helps in understanding the underlying principles and relationships of the system, making it easier to analyze and predict outcomes.
Prediction and simulation: Models enable scientists to make predictions about the behavior of a system under different conditions. They can simulate scenarios that are difficult or impossible to observe in the real world, allowing researchers to explore various hypotheses and make informed decisions.
Cost and time efficiency: Models can be used to explore different scenarios and test hypotheses in a relatively quick and cost-effective manner compared to conducting real-world experiments. They can help guide experimental design by providing insights into the most relevant variables and parameters.
Insight and understanding: Mathematical models often reveal underlying patterns and relationships that may not be immediately apparent from experimental data alone. They provide a framework for organizing and interpreting data, leading to a deeper understanding of the system being studied.
However, mathematical models also have limitations and potential disadvantages:
Simplifying assumptions: Models are based on assumptions and simplifications, which may not fully capture the complexity of the real-world system. If these assumptions are incorrect or oversimplified, the model's predictions may be inaccurate or misleading.
Uncertainty and error: Models are subject to uncertainties and errors stemming from the inherent variability of the system, limitations in data availability or quality, and simplifying assumptions. It is crucial to assess and communicate the uncertainties associated with model predictions.
Validation and verification: Models need to be validated and verified against experimental data to ensure their accuracy and reliability. This process requires rigorous testing and comparison to real-world observations, which can be challenging and time-consuming.
Mathematical models are closely linked to the fields of chemistry, biology, and physics, providing valuable insights and predictions in these disciplines. Here are some examples:
Chemistry: Mathematical models are used to study chemical reactions, reaction kinetics, and molecular dynamics. One example is the use of rate equations to model the kinetics of a chemical reaction, such as the reaction between reactants A and B to form product C.
Biology: Mathematical models play a crucial role in understanding biological systems, such as population dynamics, gene regulation, and the spread of infectious diseases. For instance, epidemiological models like the SIR (Susceptible-Infectious-Recovered) model are used to simulate and predict the spread of diseases within a population.
Physics: Mathematical models are fundamental in physics to describe physical phenomena and predict outcomes. One well-known example is Newton's laws of motion, which can be mathematically modeled to predict the motion of objects under the influence of forces.
Quantum mechanics: Mathematical models, such as Schrödinger's equation, are used to describe the behavior of particles at the quantum level, providing insights into atomic and molecular structures and the behavior of subatomic particles.
Fluid dynamics: Mathematical models, such as the Navier-Stokes equations, are employed to study the behavior of fluids, including airflow, water flow, and weather patterns.
These examples demonstrate the wide range of applications for mathematical models in understanding, predicting, and simulating various phenomena in the fields of chemistry, biology, and physics.
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what is the solution?
x=3 and y=4
x=5 and y=4
x=4 and y=3
x=3 and y=2
Answer:
give me more instructions so i can actually help
Step-by-step explanation:
Nolan is a songwriter who collects royalties on his songs whenever they are played in
a commercial or a movie. Nolan will earn $50 every time one of his songs is played in
a commercial and he will earn $100 every time one of his songs is played in a movie.
How much would Nolan earn if his songs were played in 10 commercials and 5
movies? How much would Nolan earn if his songs were played in x commercials and
y movies?
Answer:
500$+500$=1000$
Step-by-step explanation:
for songs=50×10=500$
for movie=5×100=500$
total=500$+500$=1000$
50x+100y
hope it helps:)
What is the value of u?
Answer:
66-26 = 40
Step-by-step explanation:
u = 40 degrees
Katie drove 12 and 1/2 in 30 minutes, if Katie drives at the same rate, how many miles will she drive in 2 and 1/2 hours?
Answer:
1/30
Step-by-step explanation:
Which measurements could create more than one triangle?
A. A triangle with angles measuring 75°, 60°, and 45°
O B. A triangle with sides measuring 5 cm end 10 cm and an included
angle measuring 40°
C. A triangle with sides measuring 6 inches, 8 inches, and 10 inches
D. A triangle with sides measuring 4 inches, 8 inches, and 15 inches
Answer:
why yall got the question i use to have now this 2021 i won nun off this ughhh i think it is D
Step-by-step explanation:
Answer:
A. A triangle with angles measuring 75°, 60°, and 45°
Step-by-step explanation:
I. LUI
Solve the equation by factoring. (Enter your
ans
4x^2 – 8x – 5 = 0
Answer:
hope it's helps you.......
if a sample of 25 students is taken from a population of 179 students the population variance o^2, is the variance of how many students' heights
Answer: 179
Step-by-step explanation:
The population variance cannot be determined solely from a sample, but the sample variance can provide an estimate of it based on the data collected from the sample.
The population variance ) represents the variance of the entire population. In this case, the population consists of 179 students. However, if we take a sample of 25 students from this population, the variance of this sample is called the sample variance
The sample variance ) is used to estimate the population variance ). It is calculated using the following formula:
The population variance cannot be determined solely from a sample, but the sample variance () can provide an estimate of it based on the data collected from the sample.
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Which graph represents the solution set to the system of inequalities?
{ Y ≤ 1/4X-2
Y ≥ −54X+2
ANSWER Down Below
The graph of the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
Is in the image at the end.
Which is the graph of the system of inequalities?Here we have the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.
Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.
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UM PLEASE HURRY FOR ANSWERING THIS!!!
Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and 15 cm
Answer:
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Step-by-step explanation:Pythagorean Theorem: According to this theorem the result obtained by squaring the value of the hypotenuse of a right angled triangle is equal to the sum of the squares of the values other two sides of the triangle.
Hypotenuse = h
Altitude = l
Base = b
l²+b²=h²
Here 6²=36
9²=81
12²=144
15²=225
From the above it is clear that
81+144=225
⇒9²+12²=15²
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Hope this helps!
Answer:
I believe it's Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°. I'm not so sure sorry if it's incorrect
Step-by-step explanation:
c) I use the 4 triangles to make a trapezium. What is the area of the trapezium?
Answer:
1/2=10
Step-by-step explanation:
it depends upon the area of the triwngle
On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.
A delivery driver is driving around town and has noticed that every time he turns, it creates an angle. What are the measures of Angles X, Y, and Z on the map?
In your answer, give the measures of angles X, Y, and Z, and explain how you calculated each one.
Answer:
x=105, y=75 and z=105.....this is a map of parallellines and a transversal. ....angles x and 75 are supplementary angles x=180-75 ×=105...angles y and 75 are corresponding angles so, y=75..angles x and z are alternate exterior angles z=x
Please Help ! I will give you a lot of points!
Answer:
$45000
Step-by-step explanation:
Loan's future= O *(1+rate)
Interest = principal x rate x time:
Interest = 5000 x 0.08 x (9/12) = 300
Total due = principal + interest
Total due = 5000 + 300 = $5,300
Can someone click on my name and go to my Math questions and help answer them all. I extremely need help with them. I will Mark Brainliest and be 100% positive with your answers. Thank you and hope you have a wonderful day and weekend . I need two responses for each question to be available to mark brainliest. If you don't know the answer please please don't comment and take points away from student's that can help.
Answer:
ok will do
Step-by-step explanation:
Answer:
Well mate, I can't find the math questions.
Step-by-step explanation:
help me finish my homework this question has 3 parts. Find the side length x. Round your answer to the nearest hundreth
We have here a right triangle, and to find the sides of this triangle, we can use the Pythagorean Theorem:
\(a^2+b^2=c^2\)Where a and b are the sides of the triangle and c is the hypotenuse. Then, we have:
\(10^2+x^2=20^2\Rightarrow x^2=20^2-10^2\Rightarrow x^2=400-100\Rightarrow x^2=300\)Thus, the side x is (taking the square root to both sides of the equation):
\(\sqrt[]{x^2}=\sqrt[]{300}\Rightarrow x=\sqrt[]{300}\Rightarrow x=17.320508\)Rounding the answer to the nearest hundredth, we have:
x = 17.32 units.
What is the value of x in the equation
3x - y = 30, when y = 15?
Answer:
x = 15
Step-by-step explanation:
3x - y = 30
Let y = 15
3x - 15 = 30
Add 15 to each side
3x-15+15 = 30+15
3x= 45
Divide each side by 3
3x/3=45/3
x = 15
Answer
x=15Step-by-step explanation:
\(3x - y = 30 \\ 3x = 30 + y \\ x = \frac{30 + y}{3} \\ \\ \)
\(y = 15\)
\(x = \frac{30 + y}{3} \\ x = \frac{30 + 15}{3} \\ x = \frac{45}{3} \\ x = 15\)
hope this helps
brainliest appreciated
good luck! have a nice day!
What is 50% of 94 ?
Answer: The correct answer is 47
Step-by-step explanation:
94 x .5 = 47
Mario constructs a scale model of a building with a rectangular base. His model is 4.2 inches in length and 2 inches in width. The scale of the model is 1 inch = 15 feet.
What is the actual area, in square feet, of the base of the building?
The actual base of the building is 1890 square feet.
What is a rectangle?A rectangle is a two-dimensional figure with length and width.
The area of a rectangle is Length x width.
We have,
1 inch = 15 feet
Rectangular base:
Length = 4.2 in
Width = 2 in
So,
4.2 in = 4.2 x 15 feet = 63 feet
2 in = 2 x 15 = 30 feet
Now,
The actual base of the building.
= 63 x 30
= 1890 square feet
Thus,
1890 square feet.
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the least common multiple of 9 and 6 is 54
Answer:
18
Step-by-step explanation:
The multiples of 9 are 9,18,27,36,45,54,63,...
The multiples of 6 are 6,12,18,24,30,36,42,...