Answer:
D
Step-by-step explanation:
D is the only one where A^2+B^2=C^2. Meaning that when 10=A, 24=B, 24 would be equal to C. 10^2=100 24^2=576, 100+576=676, and the sqrt of 676 is 36.
Answer: D
Step-by-step explanation:
D is the only one where A^2+B^2=C^2. Meaning that when 10=A, 24=B, 24 would be equal to C. 10^2=100 24^2=576, 100+576=676, and the sqrt of 676 is 36.
which step is included in the graph of the function f(x)=[x-1]?
The step that is included in the graph of the ceiling function is given as follows:
y = -2 for -2 ≤ x ≤ -1.
What is the ceiling function?The ceiling function is represented by the symbol ⌈x⌉ used in this problem, and represents the least integer greater than or equal to x,
For example, we have that:
⌈0 ≤ x < 1⌉ = 1.
In this problem, we have that the function is translated one unit right, hence the correct step is given as follows:
⌈x - 1⌉ = -2 for -2 ≤ x ≤ -1.
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Answer:
c
Step-by-step explanation:
When the midpoints of the sides of triangle ABC are joined, a triangle with a perimeter of 20 inches is formed. Find the perimeter of triangle ABC.
Answer:
i belive 6.3
Step-by-step explanation:
Help me guyssssssssssssssssssssss
Answer: 3
Step-by-step explanation:
The 2 parts of 1 seg multiplied = 2 parts of other seg multiplied
3(x+5)=4(2x)
3x+15=8x
15=5x
x=3
The function f(x) = -5log4 (x-15) models the difference, in degrees Fahrenheit, between the temperature indoors and the temperature outdoors, x minutes after the air remediation system is turned on in a building. After how many minutes is the temperature indoors the same as the temperature outdoors? -
The temperature indoors and outdoors the same after 16 minutes
After how many minutes is the temperature indoors and outdoors the sameThe function is given as
f(x) = -5log4 (x-15)
When the temperatures are equal, we have
f(x) = 0
So, the equation becomes
-5log4 (x-15) = 0
Divide by -5
So, we have
log4 (x-15) = 0
Take the exponent of both sides
x - 15 = 4^0
So, we have
x - 15 = 1
Evaluate
x = 16
Hence, the time is 16 minutes
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the weight of bill's pack as he sets off on a backpacking trip is 48.3 lb. describe the type of variable and corresponding level of measurement (more than one answer may apply)
The weight of Bill's pack is a quantitative variable, so the weight can take on any numerical value within a certain range (in this case, likely between 0 and 100 lbs or so).
The type of variable for the weight of Bill's pack is a continuous variable, and the corresponding level of measurement is the ratio level of measurement.
Continuous variable: A continuous variable is a variable that can take on any value within a given range. In this case, the weight of Bill's pack can take on any value within a certain range (e.g., from 0 lb to 100 lb or more), making it a continuous variable.
Ratio level of measurement: The ratio level of measurement has a true zero point and allows for meaningful comparisons and calculations, such as multiplication and division. Since the weight of Bill's pack has a true zero point (0 lb) and allows for meaningful comparisons (e.g., one pack can be twice as heavy as another), it falls under the ratio level of measurement.
Hence, The weight of Bill's pack (48.3 lb) is a continuous variable, and its corresponding level of measurement is the ratio level of measurement.
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help is appreciated. will give brainliest.
Answer:The y-intercept is (0,10)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (ln(11),0)
y-intercept(s): (0,10)
I need some help on this question appreciate it
Answer:
B. [tex]y = -\frac{11}{3}x - \frac{2}{3}[/tex]
Step-by-step explanation:
The equation of a line is
y = mx + b
Since they gave us two points we could use it to find the slope(m) of the equation. The formula to find the slope of the line is:
[tex]m=\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]
They gave us the coordinate of the first point: (-2, 6), and the coordinate of the second point: (1, -4)
so, we plug in the x and y values into the slope formula:
[tex]m=\frac{-4-6}{1-(-2)}[/tex]
[tex]m=\frac{-11}{3}[/tex]
Since the answer choices all have different slope, we just have to look for the equation with the right slope which is [tex]\frac{-11}{3}[/tex], so the answer is C.
Pls help.. I need help ASAP...
The number of text messages teenagers in the United States send each month is,
⇒ =3.24 × 10¹⁰
Given that:
Total teenagers = 27 million
Number of text messages per month = 1200
Total messages sent by teenagers per month = 27 million × 1200
= 32,400,000,000
Decimal point should be after the first significant value from the left.
Count the number of digits remaining after the decimal point
= 3.24 × 10¹⁰
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Stacey bought 10 two litter bottles of soda. How many milliliters did she buy?
Answer:
20,000 mL
Step-by-step explanation:
Liter = 1000 mL
She bought 10 two liter bottles, so in total:
10 * 2 = 20 liters
20 L * 1000 mL/L = 20,000 mL
Find the 3rd root of 20
The third root of 20 would give a result of
2.7144 to four decimal placeWhat are radical numbers?
Radical numbers, are also called roots or surds.
These are mathematical expressions that represent the inverse operation of exponentiation.
They are used to find the value that, when raised to a certain power, results in a given number.
The most common types of radical numbers are
square roots √, andcube roots ∛The cube root of 20 also written as ∛20 is solved using calculator to give 2.714417617 and to four decimal place will give 2.7144
This means that 2.714417617 x 2.714417617 x 2.714417617 is approximately equal to 20
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The diagram shows the front view of a barn.
The area of the barn's front view is 78 m². Each side of the barn is 5 m.
Find the value of p.
Answer:
Step-by-step explanation:
Complete the ratio 4:? = 1:15
Answer:
The answer is 60
Step-by-step explanation:
Solution:
Complete the ratio
[tex] \frac{4}{?} = \frac{1}{15} \\ [/tex]
?= 15×4?=60Hope you understand
Tyee invested $440 in an account paying an interest rate of 8 % compounded continuously. Aria invested $440 in an account paying an interest rate of 83% compounded daily. After 19 years, how much more money would Aria have in her account than Tyee, to the nearest dollar?
Solve for b.
9(b-a)=r
Answer:
[tex]b=\frac{r}{9} +a[/tex]
Step-by-step explanation:
To solve this problem, we have to isolate b. The steps are shown below:
Given - [tex]9(b-a)=r[/tex]
Divide both sides by 9 - [tex]\frac{9(b-a)}{9}=\frac{r}{9}[/tex] → [tex](b-a)=\frac{r}{9}[/tex]
Add a to both sides - [tex](b-a+a)=\frac{r}{9}+a[/tex] → [tex]b=\frac{r}{9} +a[/tex]
So after doing these steps, we are left with our answer of [tex]b=\frac{r}{9} +a[/tex].
[tex]b=\dfrac{r}{9}+a[/tex]
Step-by-step explanation:Main Concepts:
Concept 1. Solving for a variable
Concept 2. Undoing a multi-step equation
Concept 1. Solving for a variable
To solve any equation ever in mathematics, there are two main steps:
Step 1. Get the variable to appear exactly onceStep 2. Isolate the variableIn this case, the variable already appears exactly once, so we can skip ahead to Step 2.
Concept 2. Undoing a multi-step equation
To "Isolate the variable", one must undo the things that are done to it.
To undo something, things must be undone in the reverse order in which they are done.
Looking at the equation, "b" appears on the left side of the equation. Focusing on the left side, if everything were a number and we were trying to simplify it, Order of Operations would require us to take the "b" and do the following:
1. subtract by "a" in the parentheses
2. then multiply by 9
To undo these things, we'll need to use the opposite operation of what would have been done in the first place.
Multiplication and Division are oppositesAddition and Subtraction are oppositesTo undo the steps above, we undo them in reverse order, so
1. Undo multiplication by 9
2. Then undo the subtraction by "a".
[tex]9(b-a)=r[/tex]
To undo the multiplication, divide both sides by 9
[tex]\dfrac{9(b-a)}{9}=\dfrac{r}{9}[/tex]
simplifying the left side gives
[tex]b-a=\dfrac{r}{9}[/tex]
To undo the subtraction by "a", add "a" to both sides
[tex]b-a+a=\dfrac{r}{9}+a[/tex]
simplifying the left side gives
[tex]b=\dfrac{r}{9}+a[/tex]
Claire keeps track of the miles per gallon her car gets per week. She has accumulated the following (1, 22.42), (2,22.84), (3, 23.26). (4, 23.68)
Answer:
Step-by-step explanation:
0.99
please help me! I will give brain list to whoever shows their work correctly with the correct answer. Please help this is due today!
Step-by-step explanation:
For RIGHT trianges
sin Φ = opposite leg / hypotenuse
for THIS triangle
sin m = 6 sqrt(2) / 9 = 2/3 sqrt (2) <=======exact value
= .9428 <======four decimal value
Expand.
your answer should be a polynomial in standard form
(9h+3)(-h-1)=
What is the coefficient of determination for a linear model fitting the following bivariate dataset?
The coefficient of determination for a linear regression model fitting with bivariate dataset ( scatterpot present in above figure) is equals to the 90.097.
When we study about linear regressions, usually analyze two coefficients that help us to know about the quality of the regression model and strength of linear relationship between the variables. One is called the coefficient of determination, denoted by R². Consequently, by observing a scatter plot, we can estimate the value of these coefficients. We have a scatterpot for a linear model fitting of the bivariate dataset is present in above figure. Coefficient of determination is always positive. When data are very closely arranged along a approximate line, then coefficient of determination is more near to 1 (In percentage it is 100). Here points are almost closely arranged . So percentage should be near to 100. So possible answer is 90.097. Hence, the answer is 90.097.
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Complete question :
The above figure complete the question.
What is the coefficient of determination for a linear model fitting the following bivariate dataset?
in a class of 40 students,only 20% of the students are participating in art club.how many students are not taking part of the club
Answer:
32
Step-by-step explanation:
20% of 40 = 8
40 - 8 = 32
32 students are not taking part of the club.
CAN SOMEONE PLEASE HELP ME I DONT KNOW WHAT IT IS WHOEVER GETS IT RIGHT GETS MARKED BRAINLIEST
Answr: C
Step-by-step explanation:
...
someone help me plsssss
Moussa has a collection of vintage action figures that is worth $390. If the collection appreciates at a rate of 3% per year, which equation represents the value of the collection after 3 years?
To represent the value of the collection after 3 years if it appreciates at a rate of 3% per year, we can use the following equation:
V = P(1 + r)^t
Where:
V = the value of the collection after 3 years
P = the initial value of the collection, which is $390 in this case
r = the annual appreciation rate, which is 3% or 0.03 as a decimal
t = the number of years, which is 3 in this case
Substituting the given values, we get:
V = $390(1 + 0.03)^3
Simplifying the equation, we get:
V = $390(1.03)^3
V = $390(1.0927)
V = $426.99 (rounded to the nearest cent)
Therefore, the equation that represents the value of the collection after 3 years if it appreciates at a rate of 3% per year is:
V = $390(1.03)^3
V = $426.99
For larger orders. Willow can hire a printing company that charges $9.50 per mug. If Willow places an order for 65, calculate how much profit she would lose per mug, then enter total profit she would lose after selling ALL 65 at $22 per mug, but using the printing company instead of her own printing press. Enter your answer as money, to the hundredths place position.
Results:
(i)The amount Willow would lose in profit per mug if she uses the printing company = $12.50.
(iii) the total profit she would lose after selling all 65 mugs at $22 per mug = $812.50
How do we calculate the profit?To calculate the profit Willow would lose per mug, we use the formula:
Profit (P) lost per mug = Selling price (SP) per mug - Cost Price (CP) per mug:
$22 - $9.50 = $12.50
Thus, Willow will lose $12.50 in profit per mug if she uses the printing company.
To calculate the total profit, she would lose after selling all 65 mugs, we multiply the profit lost per mug by the number of mugs:
$12.50 x 65 = $812.50
Therefore, Willow would lose $812.50 in profit after selling all 65 mugs at $22 per mug using the printing company instead of her own printing press.
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Ellen's graduation picnic will cost $24 if it has 4 attendees. At most how many attendees can there be if Ellen budgets a total of $42 for her graduation picnic? Solve using unit rates.
Answer:
7
Step-by-step explanation:
if 4 people equals 24 then 7 is your answer
he variables x and y vary directly. Use the given values to write an equation that relates x and y. x = 18 y = 6 a. y = two-thirds x c. y = one-half x b. y = one-third x d. y = two-thirds x squared Please select the best answer from the choices provided
The variables x and y vary directly will be "y = one-third x".
Option (b) is the correct answer.
The relationship between two variables that vary directly can be expressed mathematically using an equation.
In this case, we are given the values of x and y, and we need to write an equation that relates them.
To determine the correct equation, The definition of direct variation. When two variables vary directly, it means that if one variable increases by a certain factor, the other variable also increases by the same factor. In other words, their ratio remains constant.
Let's apply this concept to the given values of x and y. We know that x = 18 and y = 6. If we divide x by y, we get:
x / y = 18 / 6 = 3
Since this ratio is constant, we can write an equation that expresses this relationship as y = kx
where k is the constant of proportionality. To find the value of k, we can substitute the given values of x and y:
6 = k(18)
k = 1/3
Therefore, the equation that relates x and y in this case is:
y = (1/3)x
Option (b) "y = one-third x" is the correct answer.
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Find the missing side of the given 45-45-90 and 30-60-90 right triangle.
Solve Two Triangle
Good Perfect Complete=Brainlist
Copy Wrong Incomplete=Report
Good Luck Answer Brainly Users:-)
Answer:
see explanation
Step-by-step explanation:
1
since Δ ABT is a 45- 45- 90 then it is isosceles with ∠ A = ∠ T and
legs are congruent, that is
BT = AB = x = 8
using the sine ratio and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AT}[/tex] = [tex]\frac{8}{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
y = 8[tex]\sqrt{2}[/tex]
so x = 8 and y = 8[tex]\sqrt{2}[/tex]
2
using the tangent ratio in the right triangle and the exact value
tan60° = [tex]\sqrt{3}[/tex] , then
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{8}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by 8 )
a = 8[tex]\sqrt{3}[/tex]
using the sine ratio in the right triangle and the exact value
sin30° = [tex]\frac{1}{2}[/tex] , then
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8}{b}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
b = 8 × 2 = 16
so a = 8[tex]\sqrt{3}[/tex] and b = 16
Answer:
1. x = 8, y = 8√2
2. a = 8√3, b = 16
Step-by-step explanation:
Question 1The interior angles of a triangle sum to 180°.
From inspection of triangle ABT, angle B is 90° and angle T is 45°. Therefore, angle A is also 45°. This means that this triangle is a special 45-45-90 triangle.
The measures of the sides of a 45-45-90 triangle are in the ratio 1 : 1 : √2.
Therefore, the formula for the ratio of the sides is b : b : b√2 where:
b is each side opposite the 45 degree angles (legs).b√2 is the side opposite the right angle (hypotenuse).From inspection of triangle ABT, sides AB and BT are the legs of the triangle, and side AT is the hypotenuse. Therefore, as leg AB measures 8 units, then b = 8.
The side labelled "x" is the other leg of the triangle (side opposite the 45° angle). Therefore:
[tex]\rm \implies x = b=8[/tex]
The side labelled "y" is the hypotenuse of the triangle (side opposite the right angle). Therefore:
[tex]\implies \rm y=b\sqrt{2}=8\sqrt{2}[/tex]
[tex]\hrulefill[/tex]
Question 2From inspection of the interior angles of the given triangle, it is a special 30-60-90 triangle.
The measures of the sides of a 30-60-90 triangle are in the ratio 1 : √3 : 2.
Therefore, the formula for the ratio of the sides is c: c√3 : 2c where:
c is the shortest side opposite the 30° angle.c√3 is the side opposite the 60° angle.2c is the longest side (hypotenuse) opposite the right angle.The side opposite the 30° angle is 8 units. Therefore, c = 8.
The side labelled "a" is the side opposite the 60° angle. Therefore:
[tex]\rm \implies a = c\sqrt{3} = 8\sqrt{3}[/tex]
The side labelled "b" is the side opposite the 90° angle. Therefore:
[tex]\implies \rm b = 2c = 2 \cdot 8 = 16[/tex]
Riley surveyed 50 of his classmates about their favorite meal from the cafeteria. The results are shown below. • 12 students said pizza is their favorite meal. • 7 students said tacos are their favorites meal. • 17 students said hamburgers are their favorite meal. • 14 students said chicken tenders are their favorite meal. Based on the survey results, determine how many of the 300 students in school chose pizza or hamburgers as their favorite meal.
174 of the 300 students in school chose pizza or hamburgers as their favorite meal.
We know that from the definition of Probability that,
Probability of an Event = (The favorable number of incidents under that Event)/(Total number of incident)
Here given that the total number of classmates in first = 50
Number of students whose favorite meal is pizza = 12
Number of students whose favorite meal is hamburgers = 17
So the probability of a student has pizza or hamburger as his favorite meal is = (12 + 17)/50 = 29/50
So for 300 such students, the number of students choose pizza or hamburger as their favorite meal is = 300*(29/50) = 6*29 = 174.
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find the smallest value of k such that the rank-k approximation uses the same or more amount of data as the original picture. explain how you obtained the answer.
Thus, the smallest value of k that satisfies the condition is: k = ceil(mn / (r + n + 1)).
To find the smallest value of k such that the rank-k approximation uses the same or more amount of data as the original picture, we need to compare the sizes of the original picture and the rank-k approximation. The rank-k approximation of a matrix A can be obtained by performing singular value decomposition (SVD) on A and keeping only the k largest singular values.
Let m and n be the dimensions of the original picture (assuming it is a grayscale image) and let r be the rank of the image. The number of data points (i.e., pixels) in the original picture is mn, and the number of data points in the rank-k approximation is kr + k + kn. The first term kr corresponds to the k singular values, the second term k corresponds to the k left singular vectors, and the third term kn corresponds to the k right singular vectors.
We want to find the smallest value of k such that kr + k + kn is greater than or equal to mn. Using the values above, we can write this as:
kr + k + kn >= mn
Simplifying, we get:
k(r + n + 1) >= mn
Dividing both sides by (r + n + 1), we get:
k >= mn / (r + n + 1)
Therefore, the smallest value of k that satisfies the condition is:
k = ceil(mn / (r + n + 1))
where ceil is the ceiling function (i.e., rounding up to the nearest integer).
To obtain this result, we first calculated the number of data points in the original picture and the rank-k approximation, and then set them equal to each other. We simplified the resulting inequality to get an expression for k in terms of the other variables, and then used the ceiling function to round up to the nearest integer.
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The surface area of this cube is 96 square meters. What is the volume?
cubic meters
Answer:
The surface area of a cube is given by the formula:
SA = 6s^2
where SA is the surface area and s is the length of one side.
In this case, we know that the surface area is 96 square meters, so we can set up an equation:
96 = 6s^2
Solving for s, we get:
s^2 = 16
s = 4
So the length of one side of the cube is 4 meters.
The volume of a cube is given by the formula:
V = s^3
where V is the volume and s is the length of one side.
Plugging in s = 4, we get:
V = 4^3 = 64 cubic meters
So the volume of the cube is 64 cubic meters.
Step-by-step explanation:
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someone please explain how to find a quadratic equation with only two points if one of the points isnt the vertex
Answer:
Step-by-step explanation:
To find a quadratic equation with only two points, we need to use the general form of a quadratic equation, which is:
y = ax² + bx + c
where "a", "b", and "c" are constants and "x" and "y" are the variables.
Let's say the two points we have are (x₁, y₁) and (x₂, y₂). We can use these points to form two equations:
y₁ = ax₁² + bx₁ + c
y₂ = ax₂² + bx₂ + c
We can then solve these equations simultaneously to find the values of "a", "b", and "c".
Here's an example:
Suppose we have two points, (2, 3) and (4, 7), and we want to find the quadratic equation that passes through these two points.
We start by plugging in the coordinates of the first point into the equation:
3 = a(2²) + b(2) + c
Next, we plug in the coordinates of the second point:
7 = a(4²) + b(4) + c
We now have two equations with three variables. To solve for the variables, we can use either substitution or elimination. Here, we will use substitution:
From the first equation, we can solve for "c":
c = 3 - 4a - 2b
We can now substitute this expression for "c" into the second equation:
7 = a(4²) + b(4) + 3 - 4a - 2b
Simplifying the equation, we get:
7 = 16a - 2b + 3
4a - b = 2
We can now use the first equation to solve for "b" in terms of "a" and substitute this expression into the second equation:
b = (3 - 4a - c) / 2
b = (3 - 4a - (3 - 4a - 2b)) / 2
b = -2a + 3
Substituting this expression for "b" into the equation 4a - b = 2, we get:
4a - (-2a + 3) = 2
6a = -1
a = -1/6
Now that we know "a", we can use one of the earlier equations to solve for "c":
3 = (-1/6)(2²) + b(2) + c
c = 3 + (1/3) - b
Substituting this expression for "c" into the equation c = 3 - 4a - 2b, we get:
3 + (1/3) - b = 3 + (2/3) + 2(-2a + 3)
b = -2a + (8/3) = 1/3
Therefore, the quadratic equation that passes through the points (2, 3) and (4, 7) is:
y = (-1/6)x² + (1/3)x + 1
Note that this is a quadratic equation in standard form. If we want to write it in vertex form, we can complete the square.