y-coordinates for x=3, 4.2, 2 are y=3.6, 4.8 and 2.6 respectively.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given equation is y=x+0.6
Find the y value for x=3, 4.2, 2
When x=3
y=3+0.6=3.6
When x=4.2
y=4.2+0.6=4.8
When x=2
y=2+0.6=2.6
Therefore, y-coordinates for x=3, 4.2, 2 are y=3.6, 4.8 and 2.6 respectively.
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2. 34 is 34% of what number?
Suppose ABC Inc Can Produce 20 Units of Output Using any of the 4 Techniques Below TECHNIQUE TI 12 13 Т4 LAND LABOR CAPITAL 10 18 12 10 20 8 10 22 6 10 24 3 Further Suppose That The Output sells for $20 Per Unit In The Market. And the prices of land, labor, And capital are $8, $6, & $4, respectively.
11. Which technique should this firm use to maximize profit?
12. This firm will earn a profit equal to ________ dollars.
13. This firm will earn a Revenue equal to _____ dollars.
14. The profit associated with T1 is equal to _______ dollars.
15. If the price of labor falls to $2, ceteris paribus, this firm will earn a profit of
______dollars.
A company made 500 flashlights and found that 5 were defective. If the company makes 12,500 flashligh
O 120
O125
0 250
O 1,250
The company can expect to find 125 defective flashlights in a production run of 12,500. The correct option is B, 125.
What is flashlights?Flashlight can be defined as a portable, battery-operated device used for illumination. It typical unit consists of one or more dry cell batteries arranged in a line inside a battery compartment that forms the handle of the light.
Assuming the proportion of defective flashlights remains the same, the number of defective flashlights in a production run of 12,500 would be:
(5/500) x 12,500 = 125
Therefore, the company can expect to find 125 defective flashlights in a production run of 12,500. The answer is option B, 125.
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Add the two expressions 3z - 4 and 2z + 5
We obtain the sum of the expressions as 5z + 1. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
Four fundamental mathematical operations which can be used to express any real number are known as arithmetic operations. The four operations are addition, subtraction, multiplication and division.
We are given two expressions as 3z - 4 and 2z + 5.
In order to add the expressions, we will add the like terms.
On adding the like terms, we get
⇒(3z - 4) + (2z + 5)
⇒3z + 2z - 4 + 5
⇒5z + 1
Hence, we get the expression as 5z + 1.
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If the market price is below the equilibrium price, which of the following will occur?
Answer:
Shortage
Step-by-step explanation:
If the market price of a product is set below the equilibrium price, it will create a shortage of the product because the demand exceeds the supply.
Help me with this question….
Answer:c
Step-by-step explanation:
A business must budget its money. Fractions for each part of one store's budget are listed below.
Which of the following comparisons is TRUE?
Attention Grabbers Bookstore Budget
Advertising 1/6
Rent 7/12
Supplies 1/4
A] The bookstore spends more on advertising than rent.
b} The bookstore spends more on supplies than advertising.
c}The bookstore spends more on advertising than supplies.
d]The bookstore spends more on supplies than rent.
==========================================================
Explanation:
Let's go through each answer choice to see which are true and which are false.
A.
The fractions for advertising and rent are 1/6 and 7/12 respectively. The LCD is 12, so let's get 1/6 to have a denominator of 12. Multiply top and bottom by 2 to get 1/6 = 2/12.
Now we can compare the fractions 2/12 (aka 1/6) and 7/12. Clearly 7/12 is larger. It's like saying "having 7 slices of pizza is more than 2 slices of pizza". Therefore, the claim that more was spent on advertising compared to rent is false.
----------------------
B.
1/4 = 3/12 when multiplying top and bottom by 3
3/12 was spent on supplies and 2/12 was spent on advertising
We see that more was spent on supplies, so claim B is true
----------------------
C.
This claim is false because it contradicts claim B.
Another way to see why it's false is to use a calculator to get these decimal values
advertising = 1/6 = 0.17 approximatelysupplies = 1/4 = 0.25 exactlySince 0.17 is not larger than 0.25, this means 1/6 is not larger than 1/4.
----------------------
D.
We could use any of the methods mentioned in the previous sections, but I'll go another route.
For now assume that the fractions for supplies and rent (1/4 and 7/12 respectively) are equal.
Let's use cross multiplication to say the following:
1/4 = 7/12
1*12 = 4*7
12 = 28
Clearly the two sides are different so the original fractions aren't equal. To fix this error, replace each equal sign with a "less than" sign like so
1/4 < 7/12
1*12 < 4*7
12 < 28
Think of it like working backward up the chain. Start with 12 < 28 which is clearly true, and you can work backwards to end up with 1/4 < 7/12.
The fact we end up with 1/4 < 7/12 shows the claim "The bookstore spends more on supplies than rent" is false. It's the other way around: the bookstore spent more on rent compared to supplies.
----------------------
Summary: We found only choice B to be true. The other statements were false.
By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 299 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 90 mg of cholesterol. By eating 3 eggs and 1 cupcake, a child consumes 834 mg of cholesterol. How much cholesterol is in each item? The quantity of cholesterol in an egg is.....mg, the quantity of cholesterol in a cupcake is.....mg, and the quantity of cholesterol in a slice of pizza is.....mg. (Simplify your answers. Type mixed numerals, if possible. Otherwise, type integers or fractions.)
The quantity of cholesterol in an egg is 272 mg
The quantity of cholesterol in a cupcake is 18 mg
The quantity of cholesterol in a slice of pizza is 9 mg
How to find the amount of cholesterol in each itemLet the amount of egg be e
Let the amount of cupcake be c
Let the amount of pizza be p
By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 299 mg of cholesterol
e + c + p = 299
The child eats 3 cupcakes and 4 slices of pizza, he or she takes in 90 mg of cholesterol
3c + 4p = 90
By eating 3 eggs and 1 cupcake, a child consumes 834 mg of cholesterol
3e + c = 834
e + c + p = 299
3c + 4p = 90
3e + c = 834
solving the simultaneous equation gives
e = 270
c = 18
p = 9
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write an algebraic expression for the following when a number is doubled and then decreased by 5 the result is 21
ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
First you identify your variable, for our sake lets use x:
x= number in question
Next you write the equation given in the question:
2(x-5)= x+25
Next you use the distributive property and multiply 2 by both x and negative 5 to get:
2x-10=x+25
Now you want to get all of the x's to one side so you subtract the x on the right, fro the one on the left giving you:
x-10=25
Then you simply add 10 to 25 giving you the answer of x=35
A school administrator wants to know what proportion of teachers in their state have a Master's degree. The administrator takes an SRS of
100
100100 teachers from a statewide database containing every teacher, and they find
55
5555 teachers in the sample have a Master's degree. The administrator wants to use this data to construct a one-sample
z
zz interval for a proportion.
Which conditions for constructing this confidence interval did their sample meet?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
The data is a random sample from the population of interest.
(Choice B)
B
n
p
^
≥
10
n
p
^
≥10n, p, with, hat, on top, is greater than or equal to, 10 and
n
(
1
−
p
^
)
≥
10
n(1−
p
^
)≥10n, left parenthesis, 1, minus, p, with, hat, on top, right parenthesis, is greater than or equal to, 10
(Choice C)
C
Individual observations can be considered independent.
A) The data is a random sample from the population of interest. - Yes, it is mentioned that the administrator takes an SRS (Simple Random Sample) of 100 teachers from the statewide database containing every teacher.
What do you mean by SRS (Simple Random Sample)?Simple Random Sample (SRS) is a statistical technique for selecting a sample from a population, where each individual or item in the population has an equal chance of being selected for the sample. In other words, a simple random sample is a representative subset of a population where every individual or item in the population has an equal chance of being selected for the sample.
To take a simple random sample, each individual in the population is assigned a unique number, and then random numbers are generated to select the required number of individuals for the sample. This method ensures that the sample is not biased towards any particular subset of the population, and that the sample is representative of the whole population.
A) The data is a random sample from the population of interest. - Yes, it is mentioned that the administrator takes an SRS (Simple Random Sample) of 100 teachers from the statewide database containing every teacher.
B) np^≥10n p^ ≥10n, p, with, hat, on top, is greater than or equal to, 10 and n(1−p^)≥10n(1− p^ )≥10n, left parenthesis, 1, minus, p, with, hat, on top, right parenthesis, is greater than or equal to, 10 - Since the problem does not provide the value of p, we cannot determine if the condition np^≥10n and n(1−p^)≥10n are satisfied.
C) Individual observations can be considered independent. - The problem does not provide information about whether the individual observations can be considered independent. However, we can assume that since it is a random sample, the observations are independent.
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For each of the following graphs, the two given polygons are similar. Write precisely a single dilation (coordinates of center and coefficient) by which the image (labeled with primed letters) was obtained.
Polygon ABCD was dilated by a scale factor of 2 to create A'B'C'D'.
What is dilation?Dilation is the increase or decrease in the size of a figure by a scale factor of k, thereby creating an image. Resizing an object is accomplished through the transformation of dilation. The objects can be enlarged or shrunk using dilation. The result of this transformation is an image that has the same shape as the original shape. The size of the shape varies, though. A dilation should either stretch or contract the original shape. The term "scale factor" describes this transformation.
From the diagram:
Scale factor = A'B' / AB = 6/3 = 2
Center = (6, -6)
Polygon ABCD was dilated by a scale factor of 2 to create A'B'C'D'.
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4. [0/2 Points]. DETAILS
(b) g(g(3))
Use f(x) = 5x - 4 and g(x) = 2x2 to evaluate the expression.
(a) f(f(2))
how do i solve this?
Answer:
324
Step-by-step explanation:
To evaluate (a) f(f(2)), we first evaluate f(2) which is 52-4 = 6. Then, we evaluate f(6) which is 56-4 = 26. So, f(f(2)) = 26.
To evaluate (b) g(g(3)), we first evaluate g(3) which is 23^2 = 18. Then, we evaluate g(18) which is 218^2 = 324. So, g(g(3)) = 324
Theta -90 90 Cosine (theta) ? 0 a. 1 c. 2 b. -1 d. 0
Answer:
b. -1.
Step-by-step explanation:
The cosine function is periodic with period 2π, and for angles in the range [-90°, 90°], it takes on values in the range [-1, 1].
For the angle θ = -90°, the cosine is given by:
cos(-90°) = cos(270°) = -1
the answer is b. -1.
Solve for x
This is Similarity in right triangles lesson 7.4
If you can explain the process please do. Thank you
The unknown in the similar triangles are as follows;
x = 15 units
x = 16 units
How to find the sides of similar triangles?Two triangles are said to be similar when they have two corresponding angles congruent and the sides proportional to each other.
Let's solve for x in the triangles as follows:
using the proportion,
2.
9 / x = x / 25
cross multiply
25 × 9 = x²
x² = 225
x = √225
x = 15 units
3.
x / 12 = 12 / 9
cross multiply
9x = 144
x = 144 / 9
x = 16 units
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Please help fast!! What is the domain of the relation?
A: (-5,0,3,4)
B: (-4,-1,0,1,3)
C: (-5,-2,0,1,4)
D: (-5,-4,-2,-1,0,1,3,4)
Look at the picture below
The correct option is A {-5, 0, 3, 4}.
What do you mean by Domain?In mathematics, the domain of a function is the set of all possible input values (independent variable) for which the function is defined. In other words, the domain is the set of values that we can substitute for the independent variable in a function to produce a meaningful output.
For example, consider the function f(x) = 2x. Here, we can substitute any real number for x and get a meaningful output. Therefore, the domain of this function is all real numbers, or (-∞, ∞). However, if we consider the function g(x) = 1/x, we can see that we cannot substitute 0 for x because division by 0 is undefined. Therefore, the domain of this function is all real numbers except 0, or (-∞, 0) U (0, ∞).
The domain of a relation is the set of all possible values for the independent variable (x) for which there exists a corresponding value of the dependent variable (y). In this case, the given coordinates are (1,3), (4,1), and (-5,-4).
The domain of the relation would be the set of x-values that correspond to the given coordinates. So, the domain of this relation is {-5, 1, 4}.
Therefore, the correct answer is A: {-5, 0, 3, 4}.
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In a large group of students who completed STA 2023, 20% earned an A in the course, 12% didn’t bring their phone to class and 85% of those who didn’t bring their phone to class earned an A
It is given that:
20% of the students earned an A in STA 2023.
12% of the students didn't bring their phones to class.
85% of the students who didn't bring their phones to class earned an A.
To answer the following questions, we assume whether all students took STA 2023 and brought their phones to class or not.
a) Let's assume that x% of the students earned an A and brought their phones to class. Then, since the remaining (100% - 12%) = 88% of students brought their phone to class but their grade is not specified, we can set up the following equation:
x% + 85% of 12% = 20%
x% + 0.102 = 0.20
x% = 0.098
Therefore, 9.8% of students earned an A and brought their phones to class.
b) Let's assume that y% of the students didn't earn an A and didn't bring their phones to class. Then, we can set up the following system of equations:
x% + y% = 100% - 12%
0.85*(12%) = y%
Solving for y, we get:
y% = 9.6%
Therefore, 9.6% of students didn't earn an A and didn't bring their phones to class.
What is STA 2023?STA 2023 is a course code used by some colleges and universities to refer to an introductory course in statistics. The course usually covers topics such as descriptive statistics, probability theory, statistical inference, hypothesis testing, and regression analysis. STA 2023 is often a required course for students majoring in fields such as social sciences, business, and health sciences, as well as for students pursuing degrees in mathematics or statistics. The specific content and level of difficulty of STA 2023 may vary depending on the institution and the instructor.
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An electric clock is stopped by a power failure. What is the probability that the second hand is stopped between the 4 and the 9?
Answer: the answer is 5/12
Help me with this question….
The number that is most likely an irrational number is given as follows:
D. 4.279458105...
What are rational and irrational numbers?Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating.
Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots.
For this problem, the option D gives the irrational number, as it is the lone non-repeating decimal. For the others, we have that:
Option A: 26 is the repeating decimal part.Option B: 3 is the repeating decimal part.Option C: due to the large number of zeros, the number is the exact decimal 2.8.More can be learned about rational and irrational numbers at brainly.com/question/5186493
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Miri and Sara are collecting bags of aluminum cans for a recycling drive. Miri collects 3 times as many bags of
cans as Sara. Miri collects 123 bags of cans. Which equation and solution represent the number of bags of cans,
s, Sara collects?
The equation and solution that represents the number of bags of cans of aluminum cans for recycling that Sara collects, given that Miri collects 3x cans as Sara, is x = 123/3, which is 41.
What is an equation?An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.
Mathematical expressions contain variables, constants, numbers, and values using mathematical operands.
Equations differ from mathematical expressions based on the use of the equation symbol (=).
The number of bags of aluminum cans collected by Sara = x
The number of bags of aluminum cans collected by Miri = 3x
3x = 123 bags
The equation representing the number of bags of cans Sara collects x = 123/3
x = 41 (123/3)
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You want to put a 6-inch thick layer of topsoil for a new 28 feet by 17 feet garden. The dirt store only sells topsoil by the cubic yard. How many cubic yards of topsoil will you need to order to fill this garden?
To volume to fill the rectangular garden is 8.99 cubic yard
What is the volume to fill the gardenTo determine the volume of amount of sand required to fill the garden, we can simply convert the dimensions from inches and feet into yard.
inch to yard
6 inch = 0.17 yard
Feet to yard
28 feet = 9.33 yard
17 feet = 5.67 yard
The volume of the rectangular garden is given as;
v = l * w * h
l = lengthw = widthh = heightSubstituting the values;
V = 0.17 * 9.33 * 5.67
v = 8.99 cubic yard
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WILL MARK BRAINLIST A one of a kind necklace is worth $3200. The value of the necklace increases by 9% each year.
Which explicit and recursive formulas can be used to model the situation.
Drag and drop each formula to the corresponding box.
The Formula will be in form of exponential function that is y=$3200(1.09)ˣ
where x= no. of years.
What exactly are exponential functions?
An exponential function is a mathematical function with the formula f (x) = aˣ, where "x" is a variable and "a" is a constant that is termed the function's base and must be greater than zero. The transcendental number e, which is approximately equal to 2.71828, is the most often used exponential function basis.
Growth that is exponential
The amount expands extremely slowly at first, then rapidly in Exponential Growth. The rate of change accelerates with time. As time passes, the pace of growth accelerates. The quick expansion is designed to represent a "exponential rise".
The exponential growth formula is: y = a (1+ r)ˣ, where r is the growth percentage.
Now,
Initial value=$3200
% increase=9%
then
Amount in x years will be =3200(1+9/100)ˣ
=3200(109/100)ˣ
=3200(1.09)ˣ
Hence,
The Formula will be in form of exponential function that is y=$3200(1.09)ˣ
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which is a true statement about two numerical sets of data that have negative association
Answer:
Option D.
Step-by-step explanation:
Negative correlation also called an " inverse correlation " is a relation between 2 variables where-by they behave in opposite manner. When one variable moves ---> in an increasing /\ direction, the other variable moves in a decreasing \/ direction.
Thus, Option D.
put these decimals lease to greatest 2.16,2.1682,2.2,2.016?
Answer:
2.016, 2.16, 2.1682, 2.2
How to put anything from least to greatest?
The decimals that you have put are the following:
2.16
2.1682
2.2
2.016
How to do it:
If you look at the decimals the last one, 2.016 does not have a 1 or a 2 instead it has a 0 so that would be a our first decimal in the least to greatest form.
We can also include the third one 2.2 is the only one that has a 2 so now we know that 2.2 will go last.
Lets compare the first and second ones which are 2.16 and 2.1682 and I think we obviously know that the answer is 2.1682 because it is greater then 2.16.
So now here are the decimals from least to greatest:
2.016, 2.16, 2.1682, 2.2
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Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 70 miles per hour, with a standard deviation of 3 miles per hour. Estimate the percent of vehicles whose speeds are between 64 miles per hour and 76 miles per hour.
Answer:
The Empirical Rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% of the data falls within two standard deviations of the mean, and approximately 99.7% of the data falls within three standard deviations of the mean.
In this case, the mean speed is 70 mph and the standard deviation is 3 mph. So, we can estimate the percent of vehicles whose speeds are between 64 mph and 76 mph as follows:
64 mph = 70 mph - 3 mph * 1
76 mph = 70 mph + 3 mph * 1
Since the speeds are within one standard deviation of the mean, we can use the Empirical Rule to estimate that approximately 68% of the vehicles have speeds between 64 mph and 76 mph.
So, the answer is approximately 68%.
A football has a radius of 8 cm. What is the surface area of the football?
Step-by-step explanation:
A=4πr²
A = 4× 22/7 ×8²
A = 4 ×22\7×64
A=804.6m²
Rob loaded 9 trucks in 1 hour find his loading speed per hour
Answer:
9 trucks/hour
Step-by-step explanation:
If he loaded 9 trucks in one hour, his loading speed is 9 trucks per hour.
Determine if the points are solution points to the inequalities below. If the point is a solution, enter yes.
If the point is not a solution, enter no. Enter yes or no in lower case letters (no capital letters).
a. Is (2, 10) a solution to y < 12- x?
b. Is (3, 13) a solution to y ≤ 15 - x?
c. Is (4, 19) a solution to y > 19 - x?
d. Is (5, 13) a solution to y ≥ 12 - x?
The solution is;
a. (2, 10) is not a solution to y < 12- x.
b. (3, 13) is a solution to y ≤ 15 - x
c. (4, 19) is a solution to y > 19 - x
d. (5, 13) is not a solution to y ≥ 12 - x
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
A Set of such values is called a solution set to the considered equation or inequality.
Substitute the values where the variables are, and simplify to the point where you can tell whether the statement is true.
Each ordered pair is (x, y), thus the first value gets substituted for x; the second value gets substituted for y.
a. (2, 10)
11 < 13 -2 = 11
no
b.(3, 13)
8 ≤ 16 -3 = 13
yes
c. (4, 19)
20 > 18 -4 = 14
yes
d. (5, 13)
9 ≥ 15 -5 = 10
no
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Which of the following equations represents a parabola with a vertical axis of symmetry, vertex at (10, –4), and p = –3?
(y + 10)2 = 12(x – 4)
(y – 10)2 = –12(x + 4)
(x + 10)2 = 12(y – 4)
(x – 10)2 = –12(y + 4)
(x - 10)² = -12 (y + 4) represents a parabola with a vertical axis of symmetry, vertex at (10, –4), and p = –3 .
What's a vertical parabola?
A vertical parabola has its axis of symmetry at x = h, and the vertex is (h, v). With this information, you can find the focus and directrix. The focus is the distance from the vertex to the focus is 1/(4a), where a can be found in the equation of the parabola (it is the scalar in front of the parentheses).
we know that
If the axis of symmetry is parallel to the y-axis, then we have a vertical parabola
The equation of a vertical parabola is equal to
4p(y - k) = (x - h)²
where
(h,k) is the vertex
In this problem we have
(h,k) = (10, –4)
p= -3
substitute
4*(-3)(y - (-4)) = (x - 10)²
-12 (y + 4) = (x - 10)²
or
(x - 10)² = -12 (y + 4)
Hence , option D is correct.
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Mrs. Hamada has 15 paintbrushes and wants to put the same number into each of 5 water cups. Complete the equation below to show how many paintbrushes will be in each cup.
Answer:
3 paintbrushes
Step-by-step explanation:
15 divided by 5 is 3.
So, Mrs. Hamada will put 3 paintbrushes in each cup.
3. If 17 and 36 are the lengths of two sides of a triangle, what is the range of possible values for the length of the third side?
Answer:
19 < x < 53
Step-by-step explanation:
given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
36 - 17 < x < 36 + 17
19 < x < 53
