The y-intercept of the line is 9, meaning that the line intersects the y-axis at the point (0, 9).
what is slope intercept?
The slope-intercept form of a linear equation is a way to express a line's equation in the form:
y = mx + b
where:
"y" is the dependent variable (the vertical axis)
"x" is the independent variable (the horizontal axis)
"m" is the slope of the line, which determines the line's steepness and direction
"b" is the y-intercept, which is the point at which the line intersects the y-axis.
The y-intercept of a line is the point at which it intersects with the y-axis. This occurs when x=0.
So to find the y-intercept of the line y = -15/8x + 9, we simply substitute x=0 into the equation and solve for y:
y = -15/8(0) + 9
y = 9
Therefore, the y-intercept of the line is 9, meaning that the line intersects the y-axis at the point (0, 9).
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Vehicles generally decrease in value around 14% per year. If you buy a vehicle priced at $39,500 , this can be modeled by the equation A=39500(0.86)t . Estimate the value of the vehicle after 4 years. Round to the nearest cent and do not round until the final calculation.
Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..
To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.
Substituting t = 4 into the equation:
A = 39500(0.86)^4
A ≈ 39500(0.5996)
A ≈ 23726.20
Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.
This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.
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The graph shows China’s workforce from 2000 to 2019. A graph titled Percentage of Workers in Economic Sectors in China from 2000 to 2010 has year on the x-axis and percentage of workers on the y-axis, from 0 to 60 in increments of 10. Agriculture starts at 50 percent in 2000 and then decreases gradually to 37 percent in 2010. Industry starts at 23 percent and then slowly increases to 30 percent. Services starts at 29 percent and then slowly increases to 35 percent. Based on this graph, globalization has affected China’s workforce by creating a shift toward specialization in agriculture and away from services. services and away from agriculture. industry and away from services. agriculture, services, and industry.
Based on the graph, globalization affected China's workforce by creating a shift toward specialization in: B. services and away from agriculture.
What is globalization?Globalization is a strategic process that involves the integration of various markets across the world, in order to enhance and foster the continuous buying and selling of different goods and services between them.
This ultimately implies that, globalization helps in the creation of new forms of the following systems:
TransportationCommunicationTechnologyAgricultureBased on the given graph, we can logically deduce that globalization affected China's workforce by creating a shift toward specialization in services (increased from 29% to 35%) and away from agriculture (decreased from 50% to 37%).
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Answer:
B. services away from agriculture
Step-by-step explanation:
Is 5/6 larger or 2/3? Pls help.........
Answer:
yes 5/6 is bigger
Step-by-step explanation:
wanting some extra help with factoring while knowing what method it would be like gcf or grouping etc
d) You have a difference of squares:
49y² - 9 = (7y)² - 3²
Recall the identity,
a² - b² = (a - b) (a + b)
So,
49y² - 9 = (7y - 3) (7y + 3)
e) Pull out the common factor 3 from each term:
3x² - 3x - 90 = 3 (x² - x - 30)
Now use the sum-product method. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so
3x² - 3x - 90 = 3 (x + 5) (x - 6)
f) Same as in (e), use the sum-product method. Notice that 42 = 7 • 6, and -7 - 6 = -13, so
x² - 13x + 42 = (x - 7) (x - 6)
#1
49y²-9(7y)²-3²(7y-3)(7y+3)#2
3x²-3x-903(x²-x-30)3(x-6)(x+5)#3
x²-13x+42x²-7x-6x+42(x-7)(x-6)A bag with 8 marbles has 4 red marbles, 3 blue marbles, and 1 yellow marble.A marble is chosen at random. What is the probability that it is red? Write your answer as a fraction in simplest form.
SOMEONE PLEASE HELP ME IM SO STUCK
Answer:
1/4
Step-by-step explanation:
First you add all of the marbles in the bag which is 16 marbles. The fraction of red marbles to the total would be 4/16. In the simplest form that is 1/4. You can also just do 4 divide by 16 which gives you 0.25 and in decimal form that is 1/4.
Bill notes that his apple tree is 4/5 the size of his pear tree is apple tree is 4 M tall how tall is the pear tree
1) Given that the apple tree is 4/5 pear tree we can write
Apple Tree size = 4/5 Peartree
Apple tree= 4m
2) So we can write the following expression for that:
\(\begin{gathered} Apple=\frac{4}{5}P \\ 4=\frac{4}{5}_{}P \\ 4P=20m \\ P=\frac{20}{4} \\ P=5 \\ \\ \end{gathered}\)So the Pear tree is 5 meters tall, and the apple tree is 4/5*5 = 4 m
A city clerk conducted a survey of 500 city residents. These residents were chosen at random from the city's register of residents with an address in the city. Residents of all ages were randomly selected. Residents were asked the question, "Should the town implement a nighttime curfew on weekdays?"
A report of the survey results stated that the residents in the city want to implement a nighttime curfew on weekdays.
Select all statements that correctly evaluate the report of the survey results.
The question is not biased.
The sample is biased because it does not represent the population of the city.
The question is biased toward a response of not implementing a curfew.
The question is biased toward a response of implementing a curfew.
The sample is not biased.
Answer:
"The question is not biased." and "The sample is not biased."
Step-by-step explanation:
These would be the correct answers because the question doesn't suggest a particular course of action and everyone was chosen randomly.
The statements that correctly evaluate the report of the survey results is The question is not biased and The sample is not biased.
What is random selection of sample ?Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population.
According to the question
A city clerk conducted a survey of 500 city residents.
Residents were chosen at random from the city's register of residents with an address in the city.
Residents of all ages were randomly selected.
Residents were asked the question, "Should the town implement a nighttime curfew on weekdays?"
A report of the survey results stated that the residents in the city want to implement a nighttime curfew on weekdays
Statements that correctly evaluate the report of the survey results.
Option A : The question is not biased.
This statement is true as question in not favoring any particular group of people .
Option B: The sample is biased because it does not represent the population of the city.
This statement is False as question represent population of the city.
Option C:The question is biased toward a response of implementing a curfew.
This statement is False as question represent all age group and random selection and they have selected the option of curfew on weekdays .
Option D : The sample is not biased.
This statement is true and Residents were chosen at random from the city's register of residents with an address in the city and Residents of all ages were randomly selected.
Hence, the statements that correctly evaluate the report of the survey results is The question is not biased and The sample is not biased.
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When using the scanning objective (4X), how long would the entire ocular micrometer ruler be in millimeters?2.5 mm
The entire ocular micrometer ruler be in millimeters 2.3mm
Determine the size of an object/cell? Once the field of view is calculated for your microscope, you will be able determine the size of the objects that you are looking at.You will need to count (or estimate) how many cells will fit across the diameter of the field of view.To get the average size of one cell, you will divide the field of view by the number of cells that would fit across the diameterTo convert the diameter from millimeters to micrometers, multiply the diameter by 1000For the scanning objective (4X),
the objective is the scanning power, The, power is 4X and the Diameter in mm is 2.3mm
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find the values of the expression below when x = -4 and y= 2 -3x^2y+ 4x
Answer:
20720
Step-by-step explanation:
-3x^2y +4x
-3(-4)^2*2 + 4(-4)
= 12^4 -16
20736 - 16
= 20720
I hope this helped!
Answer:
When x = -4 and y = 2, -3x^(2y) + 4x is -784.
Step-by-step explanation:
-3x^(2y) + 4x
Substitute given variables.
-3(-4)^(2(2)) + 4(-4)
Multiply 2 and 2.
-3(-4)^4 + 4(-4)
Multiply -3 and -4.
Raise -4 to the 4th power.
-3(256) + 4(-4)
Multiply -3 and 256.
-768 + 4(-4)
Multiply 4 and -4
-768 + (-16)
Add -768 and -16.
-784
9.3% 1034 What is in scientific notation? 3.1 x 10"
Answer:
Please be more specific?
Step-by-step explanation:
I don't know what you are asking and the way you format the question is quite confusing.
In ΔXYZ, y = 500 inches, � m∠Y=117° and � m∠Z=10°. Find the length of z, to the nearest inch.
The length of z in the triangle is 97 inches.
How to find the side of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
Therefore, let's find the side z of the triangle XYZ using sine law as follows:
a / sin A = b / sin B = c / sin C
Hence,
500 / sin 117 = z / sin 10
cross multiply
500 sin 10 = z sin 117
divide both sides by sin 117
z = 500 sin 10 / sin 117
z = 86.8240888335 / 0.89100652418
z = 97.4410774411
Therefore,
z = 97 inches
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Plz help meee! T-T
Well mark brainliest ONLY if u are correct!.
Answer:
B, C, D
Step-by-step explanation:
He made a mistake in each product.
-2(-8x) = 16x, not 10 x
-2(-4y) = 8y, not -8y
-2(3/4) = -1 1/2, not - 1/14
what is the most effluence first step to isolate the variable term on one side of this equation -9x=-4x+5
Please Give Me The Answer
The area covered by the signal is 181.37 m²
What is the area covered by the signal?Here we can see that the area covered by the signal is the fourth of a circle of radius R = 15.2m
The area of a circle of radius R is given by:
A = 3.14*R²
Then the area of a fourth of a circle is:
A = (3.14/4)*R²
Replacing the value of the radius in the formula we will get:
A = (3.14/4)*(15.2m)² = 181.37 m²
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Name three fractions equal to 4/6
2/3, 12/18 and 20/30
Explanation:Given: 4/6
To get three fractions that will be equal to 4/6, they have to be equivalent fractions
4/6 can be further reduced to its lowest form:
\(\begin{gathered} \text{Divide both numeratos and denominator by same number:} \\ \text{dividng by 2:} \\ \frac{4\div2}{6\div2}\text{ = }\frac{2}{3} \end{gathered}\)We can also multiply 4/6 by any number. The multimplication must be done on both numerator and denominator:
Multiplying by 3:
\(\frac{4\times3}{6\times3}\text{ = }\frac{12}{18}\)Multiplying by 5:
\(\frac{4\times5}{6\times5}\text{ = }\frac{20}{30}\)A national grocery store chain designed a study to determine whether its customers would be interested in home delivery. The
chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who
hopped in the chain's stores were interested in the service. What is the sample in the study?
The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.
The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.
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PLEASE HELP ME!!
Two sides of a right triangle are 8 and 12 in.
a. Find the missing side if these are the lengths of the legs.
b. Find the missing side if these are the lengths of a leg and hypotenuse.
Is 3/4 is a constant or variable or both
Answer:
Constant
Step-by-step explanation:
It cannot be a variable because there is no variable. Variables are x,y, z and etc.
Answer:
The answer is constant, variables are letters that are added to numeral like terms.
Step-by-step explanation:
The graph of g(x) is the result of translating the graph of f(x) = 3* six units to the right. What is the equation
g(x) = 3^x-6
g(x) = 3^x+6
g(x) = 3^x-6
g(x) = 3^x+ 6
Translation the graph of the function \(y=f(x)\)a units to the right gives you the function \(y=f(x-a)\)
If the graph of the function \(f(x)=3^{x}\) is translated 6 units to the right, then the function becomes
\(g(x)=f(x-6)=3^{x-6}\)
Answer: correct choice is A
4) →BRAINLIEST & 10+ POINTS! ← A wheel with diameter 44 cm completes four revolutions in 0.5 seconds. Find the linear speed of the edge of the wheel in cm per second. ⇒Round to the nearest whole number. Linear speed = ____ cm/s
Answer:
352 cm/s
Step-by-step explanation:
circ = 44pi
speed = distance * time
distance = circ * 4 = 176pi
speed = 176pi/0.5
Answer:
≈ 1106 cm/s
Step-by-step explanation:
linear speed = angular speed x radius of the rotation
v = ωr
v = linear speed (m/s)
ω = angular speed (radians/s)
r = radius of the rotation (m)
------------
Given:
d= 44 cm ⇒ r= 44/2 cm= 22 cmω= 4 rev/0.5 s= 8 rev/s= 8*2π/s= 16π/s (converted rev to radians)Linear speed is:
v= 22*16π cm/s ≈ 1106 cm/s (rounded to full number)0.6666666……… as a percentage
Answer:
2/3
Step-by-step explanation:
Answer: 66.66%
Step-by-step explanation: You multiply 0.66666... by 100 and that gives you 66.66
What is the value for x,the length of side bc?7 to
Answer:
x = 17.5
Step-by-step explanation:
\( \triangle ABC \sim \triangle DEF... (given)\)
\( \therefore \frac{AB}{DE} = \frac{BC}{EF} \)
\( \therefore \frac{10}{4} = \frac{x}{7} \)
\( \therefore 2.5 = \frac{x}{7} \)
\( \therefore 2.5\times 7= x\)
\( \therefore 17.5= x\)
\( \therefore x = 17.5\)
2.2 2.1.4 a Given that A and B are complementary angles and 7 cos A-3 = 0. Determine WITHOUT the use of a calculator, the value of: 7 cos B-3 tan A. (4)
7.71 divided by 10 I don’t get how to do this
Answer: 0.771 you are welcome
-10x—16=14
-16x -6 = 14
Answer: No solution
Step-by-step explanation:
-10x-16=14
-16x-6=14
-10x-16=-16x-6
-10x+16x-16=-16x+16x-6
6x-16=-6
6x-16+16=-6+16
6x=10
x=10/6
x=5/3
-16(5/3)-6=
-80/3-6*3/3=
-80/3-18/3=
(-80-18)/3=-98/3 \(\neq\) 14
Hence, there is no solution
(REPOST) answer if you KNOW the answers!
Answer:
hello! :) have a good day!
1). 24
2). 27
3). 5
PICTURE 1:
The answer is 24: (13 7/10) Rounded To The Nearest Whole Number is: (14)
\(13 \frac{7}{10} = 14\)
AND,
(10 1/8) Rounded To The Nearest Whole Number is: (10)
\(10 \frac{1}{8} = 10\)
So, 14 + 10 = 24
______________________________________
PICTURE 2:
The answer is 5: (8 1/5) Rounded To The Nearest Whole Number is: (8)
\(8 \frac{1}{5} = 8\)
AND,
(2 7/8) Rounded To The Nearest Whole Number is: (3)
\(2 \frac{7}{8} = 3\)
So, 8 - 3 = 5
______________________________________
PICTURE 3:
The answer is 27: (58 5/12) Rounded To The Nearest Whole Number is: (58)
\(58 \frac{5}{12} = 58\)
AND,
(30 5/7) Rounded To The Nearest Whole Number is: (31)
\(30 \frac{5}{7} = 31\)
So, 58 - 31 = 27
______________________________________
HERE ARE ALL THE ANSWERS:
PICTURE 1: 24
PICTURE 2: 5
PICTURE 3: 27
HOPE THIS HELPS!! :)
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
Please explain your answer. Will mark Brainliest (question 9)
The initial investment of the function is 20 dollars.
The rate growth in percentage is 4%.
The investment after 10 years is 29.6 dollars.
How to solve function?The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.
Therefore, the initial investment of the function is 20 dollars.
The rate growth in percentage can be calculated as follows;
rate growth in percent = 0.04 × 100
rate growth in percent = 4 %
Let's find the value of the investment after 10 years.
Therefore,
\(y=20(1.04)^{t}\)
t = 10
\(y=20(1.04)^{10}\)
\(y=20(1.48024428492)\)
y = 29.6048856984
Therefore, the investment after 10 years is as follows:
y = 29.6 dollars
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Which figure could be the result of dilating this triangle with a scale factor greater than 1? On a coordinate plane, a triangle has points (0, 0, (0, 3), (6, 0). On a coordinate plane, a triangle has points (0, 0), (0, 3), (9, 0). On a coordinate plane, a triangle has points (0, 0), (0, 1), (6, 0). On a coordinate plane, a triangle has points (0, 0), (0, 5), (10, 0). On a coordinate plane, a triangle has points (0, 0), (0, 2), (4, 0).
Answer:
C
Step-by-step explanation:
Edge
The required figure has been attached below could be the result of dilating a given triangle with a scale factor greater than 1. The correct answer would be an option (C).
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The triangle has points (0, 0), (0, 3), and (6, 0) which are given in the question.
As per option (C), we have
On a coordinate plane, a triangle has points (0, 0), (0, 5), and (10, 0).
This result of dilating a given triangle with a scale factor greater than 1.
The required figure has been attached below which represents the dilation.
The correct answer would be an option (C).
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Solve the following linear equation for m.
2m−13=−8m+27
Answer:
4
Step-by-step explanation:
2m−13=−8m+27
2m+8m=27+13
10m=40
m=40÷10
Therefore, m=4
Answer:
2m - 13 = -8m +27
2m + 8m = 27 + 13
10m = 40
m = 4