Answer:
Proportional
Step-by-step explanation:
Search up the definition of proportional.
Answer:
proportional
Step-by-step explanation:
I don't understand this. Can Someone please help?
Answer:
A. -∞ < x < ∞
Step-by-step explanation:
The domain of a function is the set of all possible inputs (x values). We see from the graph that the function extends forever to the left and to the right. Thus, the domain of the function is all real numbers, as the function extends on the x-axis towards positive and negative infinity. A. represents this fact.
Round to 1 decimal place
84.74
Which expressions are equivalent to 5^12 ⋅ 5^8
Choose 2 answers:
A
25^20
B
(25^5)^4
C
(5^3 ⋅ 5^2)^4
D
(5^5)^4
Answer:
It’s C and D
Step-by-step explanation:
I have a math question g=mB-2qB and I have to solve for B
Answer:
\(B = \frac{g}{m-2g}\)
Step-by-step explanation:
Given
\(g = mB - 2qB\)
Required
Solve for B
\(g = mB - 2qB\)
Factorize the expression
\(g = B(m - 2q)\)
Divide both sides by m - 2g
\(\frac{g}{m-2g} = \frac{B(m - 2q)}{m-2g}\)
\(\frac{g}{m-2g} = B\)
Reorder
\(B = \frac{g}{m-2g}\)
Will makr brainliest jack jogs and rides his bike for awrite a pair of linear equations to show the relationship between the number of minutes jack jogs (x) and the number of minutes he rides his bike (y) every day. total of 75 minutes every day. he rides his bike for 15 minutes longer than he jogs.
write a pair of linear equations to show the relationship between the number of minutes jack jogs (x) and the number of minutes he rides his bike (y) every day.
Jack jogs for 30 minutes and rides his bike for 45 minutes and the pair of linear equations that shows the relationship between the number of minutes he jogs (x) and the number of minutes he rides his bike (y) every day are:y = (1/3)x + 35 and y = (-1/3)x + 40
Let's assume that Jack jogs for x minutes. According to the question, he rides his bike for 15 minutes more than he jogs.Therefore, the number of minutes he rides his bike is (x + 15).He spends a total of 75 minutes every day exercising.
So, x + (x + 15) = 75
Now, we'll solve this equation for x:2x + 15 = 75 or 2x = 75 - 15, 2x = 60 or x = 30
So Jack jogs for 30 minutes.
Therefore, he rides his bike for x + 15 = 30 + 15 = 45 minutes.
To write a pair of linear equations that shows the relationship between the number of minutes Jack jogs (x) and the number of minutes he rides his bike (y) every day, we can use the slope-intercept form:
y = mx + b
Here, m is the slope and b is the y-intercept. For the first equation, the slope is the ratio of the rise (y) to the run (x).
Since Jack jogs for 30 minutes and rides his bike for 45 minutes, the slope is:
y/x = (45-30)/45 = 15/45 = 1/3
Hence, the first equation is:y = (1/3)x + b
We can use either of the two points (30,45) or (45,30) on the line to find the value of b.
Let's use the point (30,45).
y = (1/3)x + b45 = (1/3)(30) + b45 = 10 + bb = 35
So, the first equation is:y = (1/3)x + 35Similarly, we can find the second equation:
y = (-1/3)x + 40
To verify, substitute x = 30 in both equations:
y = (1/3)(30) + 35 = 45
y = (-1/3)(30) + 40 = 30
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HELP FAST IF POSIBLE
An image of a rectangular prism is shown.
A rectangular prism with dimensions of 15 inches by 11 inches by 5 inches.
What is the volume of the prism?
130 in3
240 in3
412 in3
825 in3
The volume of the prism is 825 in3.
The correct answer is option D: 825 in3.
What is rectangular prism?The volume of a rectangular prism is the amount of space occupied by the prism in three-dimensional space. It is calculated by multiplying the length, width, and height of the prism.
The volume of a rectangular prism is given by the formula V = l x w x h, where l, w, and h are the length, width, and height of the prism, respectively.
In this case, the length is 15 inches, the width is 11 inches, and the height is 5 inches.
Therefore, the volume of the rectangular prism is:
V = l x w x h
V = 15 in x 11 in x 5 in
V = 825 in3
So the volume of the prism is 825 in3.
Therefore, the correct answer is option D: 825 in3.
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The volume of the prism is 825 in3.
The correct answer is option D: 825 in3.
What is rectangular prism?
The volume of a rectangular prism is the amount of space occupied by the prism in three-dimensional space. It is calculated by multiplying the length, width, and height of the prism.
The volume of a rectangular prism is given by the formula V = l x w x h, where l, w, and h are the length, width, and height of the prism, respectively.
In this case, the length is 15 inches, the width is 11 inches, and the height is 5 inches.
Therefore, the volume of the rectangular prism is:
V = l x w x h
V = 15 in x 11 in x 5 in
V = 825 in3
So the volume of the prism is 825 in3.
Therefore, the correct answer is option D: 825 in3.
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trophies taryn has 15 soccer trophies but she only has room to display 9 of them on a shelf. if she chooses them at random, what is the probability that each of the trophies from the school invitational from the 1st through 9th grades will be chosen? express your answer as a fraction in simplest form.
The probability that Taryn chooses a combination of 9 trophies that includes one trophy from each of the school invitational from the 1st through 9th grades is 1/5005.
There are 9 trophies that Taryn can display on the shelf, and she has 15 trophies in total. Therefore, the number of ways she can choose 9 trophies to display is given by the combination formula:
C(15, 9) = 5005
Out of these combinations, there is only one combination that includes exactly one trophy from each of the school invitational from the 1st through 9th grades. Therefore, the probability that Taryn chooses this specific combination is:
1/5005
Therefore, the probability that each of the trophies from the school invitational from the 1st through 9th grades will be chosen is 1/5005.
Taryn has 15 soccer trophies but can only display 9 of them on a shelf. To find the probability of choosing a specific combination of 9 trophies, we use the combination formula C(15, 9), which gives us the total number of ways she can choose 9 trophies out of 15. We then see that there is only one specific combination that includes one trophy from each of the school invitational from the 1st through 9th grades. Therefore, the probability of this happening is 1 out of the total number of combinations, which is 1/5005.
The probability that Taryn chooses a combination of 9 trophies that includes one trophy from each of the school invitational from the 1st through 9th grades is 1/5005.
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Plsssss help!!!!!!
....
Answer:
1). x = 14
2). y = 2.4 cm
Step-by-step explanation:
In the diagram ΔNPQ ~ ΔNLM and NL = 3,
1). ∠P ≅ ∠L [All angles of similar triangle are equal in measure]
(3x + 18)° = 60°
3x = 60 - 18
x = 14
2). Since, both the triangles are similar, corresponding sides will be proportional.
\(\frac{PN}{NL}=\frac{NQ}{NM}\)
\(\frac{y}{3}=\frac{3.2}{4}\)
y \(=\frac{3.2\times 3}{4}\)
y = 2.4 cm
In the diagram below, lines AB and CD are...
Answer:
Perpendicular
Step-by-step explanation:
Perpendicular lines intersect and create 4 90 degree angles
Line AB and CD intersect and create 4 90 degree angles therefore line AB and CD are perpendicular
20 points and a brainliest! And PLEASE show your work.
Find the volume and total surface area of the figure. Include the formula and each step of your process.
(this is the second figure. I have three others)
Answer:
Volume = 128
Surface area = 179.2
Step-by-step explanation:
The figure appears to be a square pyramid
The volume of a pyramid can be calculated using the formula : a²(h/3)
where a = base length and h = height
Here the base length appears to be 8 and the height appears to be 6
So we have V = a²(h/3) and a = 8 and h = 6
==> plug in values
V = 8²(6/3)
==> evaluate exponent
V = 64(6/3)
==> divide 6 by 3
V = 64(2)
==> multiply 64 and 2
V = 128
Formula for surface area of a square pyramid is SA = a² + 2al
where a = base length and l = slant height
Looking at the pyramid the slant height appears to be 7.2 and the base length is 8
so we have SA = a² + 2al and a = 8 and l = 7.2
==> plug in values
SA = 8² + 2(8)(7.2)
==> evaluate exponent
SA = 64 + 2(8)(7.2)
==> multiply 2, 8 and 7.2
SA = 64 + 115.2
==> add 64 and 115.2
SA = 179.2
vector a~ is 2.54 units long and points in the positive y direction. vector b~ has a negative x component 2.32 units long, a positive y component 2.88 units long, and no ~z component. find a~ · b~ .
Therefore \(\overrightarrow{\mathrm{a.b}}=3.00 \hat{i}+6.00 \hat{j}\)
Ax=-2.54 Ay=2.32
The sum of two or more vectors is called the Resultant.
The Resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. If displacement vectors A, B, and C are added together, the result will be vector R.
\($$\mathrm{A}_{\mathrm{x}}=-3.00, \mathrm{~A}_{\mathrm{y}}=2.00$$(a) $\overrightarrow{\mathrm{A}}=\mathrm{A}_{\mathrm{x}} \hat{\mathrm{i}}+\mathrm{A}_{\mathrm{y}} \hat{\mathrm{j}}=-3.00 \hat{\mathrm{i}}+2.00 \hat{\mathrm{j}}$(b) $|\overrightarrow{\mathrm{A}}|=\sqrt{\mathrm{A}_{\mathrm{z}}^2+\mathrm{A}_{\mathrm{y}}^2}=\sqrt{(-3.00)^2+(2.00)^2}=3.61$$$\theta=\tan ^{-1}\left(\frac{\mathrm{A}_{\mathrm{Y}}}{\mathrm{A}_{\mathrm{K}}}\right)=\tan ^{-1}\left(\frac{2.00}{-3.00}\right)=-33.7^0$$\)
\($\theta=180^{\circ}+\left(-33.7^{\circ}\right)=146^{\circ}$\)
\($\mathrm{R}_{\mathrm{x}}=0, \mathrm{R}_{\mathrm{y}}=-4.00$ and $\overrightarrow{\mathrm{R}}=\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}$, thus $\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{R}}-\overrightarrow{\mathrm{A}}$ and$$\mathrm{B}_{\mathrm{x}}=\mathrm{R}_{\mathrm{x}}-\mathrm{A}_{\mathrm{x}}=0-(-3.00)=3.00, \mathrm{~B}_{\mathrm{y}}=\mathrm{R}_{\mathrm{y}}-\mathrm{A}_{\mathrm{y}}=-4.00-2.00=-6.00$$\)
\(\text { Therefore, } \overrightarrow{\mathrm{a,b}}=3.00 \hat{i}+6.00 \hat{j}\)
\(\text { Therefore, } \overrightarrow{\mathrm{a.b}}=3.00 \hat{i}+6.00 \hat{j}\)
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I need help with a statistics question. I got the correct answer but I’m confused on why it’s correct. The correct answer is C. Why is C the right answer?
I attached an image of the problem
The null hypothesis would be: H0: µ ≥ 65.
In this scenario, the null hypothesis would be that the training does not significantly improve the rats' completion times, and the alternative hypothesis would be that it does.
The null hypothesis is typically denoted as H0, while the alternative hypothesis can be denoted as Ha.
We know that the mean time for an untrained rat to run a standard maze is 654 seconds, so we can use this as the baseline for our hypotheses.
The alternative hypothesis in this case would have the form A.
Ha: µ<65, since we want to determine whether the training has reduced the completion times
(i.e., whether the rats are completing the maze faster than the mean time of 654 seconds).
We can use a one-tailed test to compare the rats' completion times before and after training, with the alternative hypothesis being that the completion times after training are significantly lower than 654 seconds.
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1
Amber ran 1
miles over a period of
1
of an hour. How fast in miles per hour is Amber running?
Answer: 1mph
Step-by-step explanation:
She s running 1 mile per hour because that's what it says in the problem.
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2
a) p 2
y
2
– 2py + 1 b) a 2
y
2
– 2aby + b2
The factorisation of the given expressions is as follows;
a) p²y²– 2py + 1 = (py -1)²b) a²y² -2aby +b² = (ay - b)²Factorization using identitiesThe given identity is;
a²– 2ab + b² = (a – b)²From the given identity, we can conclude that;
In the expression (a);
py represents a in the identity and 1 represents b in the identity.In the expression (b);
ay represents a in the identity and b represents b in the identity.Hence, the factorised expressions are as represented above.
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Circle A has a diameter of 8 inches, a circumference of 25.12 inches, and an area of 50.24 square inches. The diameter of circle B is 3 inches, the circumference is 9.42 inches, and the area is 7.065 square inches.
Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)
Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)
Part C: What observation can you make about the value of pi for circles A and B? (2 points)
I just need the equations and answer for each part please
The value of pi determined is same when used the circumference formula and the formula of area.
What is Circle ?A circle is a round shaped figure , whose all the point lie on same plane.
It is given that
The value of pi is about 3.14, and it is the same when using both the area and circumference.
The circumference is found by
Circumference = π * diameter
For circle A:
25.12 = π * 8
π = 3.14
For circle B:
9.42 = π * 3
π = 3.14
The area is given by
Area = π * diameter² / 4
For circle A:
50.24 = π * (8²)/4
π = 3.14
For circle B:
7.065 = π * (3²)/4
π = 3.14
The value of pi is about 3.14,
The value of pi determined is same when used the circumference formula and the formula of area.
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Half of the sum of 3x and 4
Answer:
1.5x + 2
Step-by-step explanation:
(3x + 4)/2 = 1.5x + 2
What is the slope of the line through (-5, -10) and (-1, 5)?
Answer:
\(\displaystyle m=\frac{15}{4}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (-5, -10)
Point (-1, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: \(\displaystyle m=\frac{5+10}{-1+5}\)[Fraction] Add: \(\displaystyle m=\frac{15}{4}\)Can someone please help me find the measure of angle ABO?
Answer:
m<ABO = 22 deg
Step-by-step explanation:
A tangent intersects a circle at the point of tangency making a right angle with the radius drawn to that point. That means that <BAO is a right angle and measures 90 deg. That makes the other two angles of the triangle complementary with a sum of 90 deg.
m<O + m<B = 90
68 + m<B = 90
m<B = 22
Answer: m<ABO = 22 deg
Evaluate the function f(x) = sec(x - ) for x = 0.
Let f be a function such that lim h->0 ( f(2+h)-f(2) / h ) = 5. Which of the following are true?
I) f is continuous at x=2
II) f is differentiable at x=2
III) The derivative of f is coninuous at x=2
I) f is continuous at x=2
II) f is differentiable at x=2
These both f (function ) are true
The given limit can be recognized as the definition of the derivative of f at x=2. Specifically, it states that the derivative of f at x=2 is equal to 5.
Using this information, we can make the following conclusions:
I) We cannot say for sure whether f is continuous at x=2 based on the given limit alone. While a function being differentiable at a point implies that it is also continuous at that point, the converse is not necessarily true. Therefore, we would need additional information to determine whether f is continuous at x=2.
II) The given limit implies that f is differentiable at x=2, since the limit exists and is finite. Specifically, we can say that the derivative of f at x=2 exists and is equal to 5.
III) The given limit also implies that the derivative of f is continuous at x=2. This is because the limit defines a continuous function at x=2, and it is well-known that if a function is differentiable at a point, then it is also continuous at that point.
Therefore, the correct answers are II and III.
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Give the domain and range of the relationship. List items from least to greatest. Do not include duplicates. Determine whether or not the relationship is a function.
Answer:
Domain: {7, 8, 9} Range: {2, 3, 4, 5}
Step-by-step explanation:
This relationship is not a function because one input (7) gave two different outputs (2 and 4)
Express the sum 21.1956+16.348+31.02+14.0 using the correct number of significant figures
82.56360
82.5636
82.564
82.56
82.6
83
83.0
Rounding this to one decimal place, the answer is 82.6. Thus, the correct expression of the sum with the appropriate number of significant figures is 82.6.
To determine the correct number of significant figures in the sum, we need to consider the rules for significant figures during addition. The rule states that the sum or difference of numbers should have the same number of decimal places as the number with the fewest decimal places.
In the given numbers, the number with the fewest decimal places is 14.0, which has one decimal place. Therefore, the sum should be rounded to one decimal place.
Calculating the sum, we get 21.1956 + 16.348 + 31.02 + 14.0 = 82.5636.
Rounding this to one decimal place, the answer is 82.6. Thus, the correct expression of the sum with the appropriate number of significant figures is 82.6.
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Please SIMPILFY these
Answer:
a) 81
b) 16807
c) 100
d) 78125
PLEASE GIVE ME A BRAIN
Write the equation of the line that passes through the points (2, -9) and (-1, 1).
Put your answer in fully simplified point-slope form, unless it is a vertical or
horizontal line.
f(x)=log5x what Is the range of the function
The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.
The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.
The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm
log5(�)log 5 (x) for �>0 x>0.
Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).
In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.
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Answer: All real numbers
Step-by-step explanation:
Edge
NO EXPLANATION JUST ANSWER!
The volume of the given cube is 8,000 cubic units if the surface area is 2,400.
What is volume?Let's first find the length of one side of the cube using the given surface area.
The surface area of a cube is given by the formula 6s², where s is the length of one side of the cube.
We are given that the surface area of the cube is 2,400. Therefore, we can set up the following equation:
6s² = 2,400
Dividing both sides by 6, we get:
s² = 400
let's see the square root of both sides, we get:
s = 20
So, the length of one side of the cube is 20.
Now, we can find the volume of the cube using the formula V = s³:
V = 20³ = 8,000
Then, the volume of the cube is 8,000 cubic units.
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Given the following information about the relationship between X and Y, what would be the slope of the regression line? r(18) = .33, p < .05 Mx = 5.30 sX = 1.93 My = 7.20 sY = 1.54
The required answer is ≈ 0.263
Given the following information about the relationship between X and Y, what would be the slope of the regression line? r(18) = .33, p < .05 Mx = 5.30 sX = 1.93 My = 7.20 sY = 1.54
To find the slope of the regression line (b), you can use the following formula:
b = r * (sY / sX)
where r is the correlation coefficient, sY is the standard deviation of Y, and sX is the standard deviation of X.
There are two type of regression. Multiple regression are non linear regression methods of more analysis. The simple regression based on independent variable to explain or predict the out come of the dependent variable.
Using the provided information:
r = 0.33
sY = 1.54
sX = 1.93
If the regression show that such an association is present. The strength of the relationship is income and consumption.
we can have several explanatory variable in our analysis.
The least square technique is determine by minimizing the sum.
Now, plug these values into the formula:
b = 0.33 * (1.54 / 1.93)
b ≈ 0.33 * 0.798
b ≈ 0.263
Therefore, the slope of the regression line is approximately 0.263.
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please help asap please
Answer:
Step-by-step explanation:
slope is 4 y is 3
Answer:
slope is 4 y = 3
Step-by-step explanation:
Plz mark as brainliest
A car cost $c when new. It was sold for four fifths of it's cost price. How much money was lost on the car?.
The required amount of money lost on the car is (c/5).
To calculate the amount of money lost on the car, we need to find the difference between its cost price and the selling price.
Given:
Cost price of the car = $c
Selling price of the car = four fifths (4/5) of the cost price
The selling price can be calculated as:
Selling price = (4/5) * Cost price
The amount of money lost is the difference between the cost price and the selling price:
Money lost = Cost price - Selling price
Substituting the values:
Money lost = c - ((4/5) * c)
Money lost = c - (4c/5)
Money lost = (5c/5) - (4c/5)
Money lost = (c - 4c/5)
Money lost = (c/5)
Therefore, the amount of money lost on the car is (c/5).
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Solve this equation algebraically. Give your solutions correct to 2 decimal places. 3x² + 8x - 50 x = x=
The solutions to the quadratic equation 3x² + 8x - 50x = 42 correct to 2 decimal places are approximately x = 12.07 and x = 1.93.
What exactly are quadratic equations?
A quadratic equation in algebra is a second-degree polynomial equation of the form: ax² + bx + c = 0, where a, b, and c are constants and x is the variable. For the equation to be quadratic, the coefficient a must not be equal to zero.
Now,
To solve the equation 3x² + 8x - 50x = 42 algebraically, we can follow these steps:
3x² - 42x = 42
Move all the terms to one side of the equation, so that the equation equals 0:
3x² - 42x - 42 = 0
Divide both sides of the equation by the common factor of 3 to simplify it:
x² - 14x - 14 = 0
Using the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
In this case, a = 1, b = -14, and c = -14, so we can substitute these values into the formula:
x = (-(-14) ± √((-14)² - 4(1)(-14))) / 2(1)
= (14 ± √(232)) / 2
≈ 12.07 or 1.93
Therefore, the solutions to the equation 3x² + 8x - 50x = 42 correct to 2 decimal places are approximately x = 12.07 and x = 1.93.
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Right question:-
Solve this equation algebraically. Give your solutions correct to 2 decimal places. 3x² + 8x - 50 x = 42.