Answer:
c^2=289
Step-by-step explanation:
this is because c^2=17×17=289
the diameter of a wheel is 3 feet. what is the distance around the wheel
Answer: 9.42 Feet or 9 Feet 5.04 Inches
Step-by-step explanation: To solve for the circumference, the equation you must use is C = 2πr (Circumference = 2pi(3.14)radius(half of the diameter)).
helppp pls ive been here ages
The final velocity in the given equation is −0.5, when the acceleration is -5.
What is velocity?The distance covered by a body in one unit of time in a specific direction is referred to as velocity. M/s is always the only metric unit of velocity.
Speed and velocity are different in that:
i) velocity is a vector quantity, meanwhile speed is a scalar quantity.ii) Speed is always positive, in contrast to velocity, which can be either positive or negative.iii) The difference between velocity and speed is the amount of distance covered in a given amount of time when moving in a specific direction.v = u + at
here,
a = average acceleration
v = final velocity
u = initial velocity
t = time
given, u = 2
a = -5
t = 1/2 = 0.5
putting the values
v = 2 + (-5)(0.5)
v = 2 - 2.5
v = −0.5
Thus, The final velocity in the given equation is −0.5, when the acceleration is -5.
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Help with question A.
To do simple subtraction, use the - (minus sign) arithmetic operator.
How to get a proper Conclusion?6N + 10
---------- - 5 =
2
3N + 5 - 5
3N
so yes, you will always get triple the original number. or 3N.
A final step should be to divide the last difference by 3, which gets you
the original number back.
Two positive integers added together are always positive.
When two negative integers are added together, the result is always negative.
The result of subtracting two positive integers might be either positive or negative.
The result of subtracting two negative integers might be either positive or negative.
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A student uses 4 cup of peanuts to make 3 cups of
Trail Mix. Using this same proportion, how many cups of
peanuts are needed to make 5 cups of Trail Mix?
Answer quickly I gotta finish my work asap
Answer:
6 [tex]\frac{2}{3}[/tex] cups
Step-by-step explanation:
we can set up a proportion:
[tex]\frac{4}{3}[/tex] = [tex]\frac{t}{5}[/tex] 't' equals the number of cups of peanuts to make 5 cups trail mix
now we can cross-multiply to get:
3t = 20
t = 20/3 or 6 2/3 cups
Farmer Dubble started with 87 elentires on
his farm. Every month, he exploded 5 more
of them. Farmer Gespil started with 13
elentires on her farm. Every month, she got
8 more of them.
Write a system of equations, in
slope-intercept form, to model each
farmer's elentires (y) as months (x)
increase.
The equations in the slope intercept form are,
y = -5x + 87
y = 8x + 13
What is slope intercept form?
The equation of the line can be written in different ways. One of the methods of writing equations of a line is slope intercept form.
The line with m as the slope, and c as the y-intercept is the graph of the linear equation y = mx + c. This form of linear equation is known as slope intercept form. The values of m and c are real integers in the slope-intercept form of the linear equation.
The slope, m, is a measure of how steep a line is. A line's y-intercept, c, denotes the y-coordinate of the location where the line's graph crosses the y-axis.
For farmer Dubble,
Number of elentires in beginning c = 87
Number of elentires destroyed every month m = -5
Linear equation in slope intercept form
y = -5x + 87
For farmer Gespil,
Number of elentires in beginning c = 13
Number of elentires bought every month m = 8
Linear equation in slope intercept form
y = 8x + 13
Therefore the system of equations in slope intercept form are,
y = -5x + 87
y = 8x + 13
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How does the substitution method works for solving a two order system of equations?
The method of solving "by substitution" works by solving one of the equations for one of the variables, and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.
A quadratic equation is a second-order equation written as ax² + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.
To solve two order system of equations using substitution, follow these steps:
Step 1. Choose one equation and solve it for either of the one variables.
Step 2. In the other equation, substitute the value get from step 1.
Step 3. Solve the new equation.
Step 4. Substitute the value found into any equation involving both variables and solve for the other variable.
Step 5. Check the solution in both original equations.
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X/3+10=15 what is x.
Answer:
15
Step-by-step explanation:
x/3+10=15
(x+30)/3=15
x+30=15×3
x+30=45
x=45-30
x=15
Answer:
First you need to put the variable, x, in a fraction
[tex]\frac{x}{3} + 10=15[/tex]
In this case, 10, is a positive integer, so because its a whole number, we put it with 15 on the other side of the equal sign. Then the +10 will become -10.
[tex]\frac{x}{3} =15-10[/tex]
Then its easier to calculate, 15 - 10 is 5.
[tex]\frac{x}{3} =5[/tex]
After that you put 5 over 1 and crisscross the equation.
[tex]\frac{x}{3} =\frac{5}{1}[/tex]
x times 1 is x itself, and 3 times 5 is 15
[tex]x=15[/tex]
So in the end x = 15
Have a wonderful day! :-)
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided Write a list of steps that are needed to find the measure of ∠B
The measure of angle B in the given triangle is 41°
Calculating the measure of an angle in a triangleFrom the question, we are to calculate the measure of angle B.
From the exterior angle theorem of a triangle which states that if a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
Then,
We can write that
∠B + 72° = 113°'
∠B = 113° - 72°
∠B = 41°
Hence, the measure is 41°
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Find the zeros of the polynomial: x 3+2x 2−x−2A1,−1,−2B1,3,7C1,−2,4DNone of these
The zeros of the polynomial x3 + 2x2 - x - 2 are -1, -2 and 4.
The given polynomial is x3 + 2x2 - x - 2. To find the zeros of this polynomial, we need to solve the equation x3 + 2x2 - x - 2 = 0.
Rewrite the equation as x3 + 2x2 - x - 2 = 0.
Factor the equation.
Set each factor equal to zero and solve for x.
(x + 2)(x2 - x - 1) = 0
x + 2 = 0
x = -2
(x2 - x - 1) = 0
x2 - x - 1 = 0
x2 - 1x - 1 = 0
Apply the quadratic formula to solve for x.
x = [-b ± √(b2 - 4ac)] / 2a
x = [(-1) ± √(1 - 4*1*(-1))] / 2*1
x = [(-1) ± √(5)] / 2
x = [-1 ± √5] / 2
x = [(-1 + √5) / 2] and [(−1 - √5) / 2]
Simplify the solutions and find the zeros of the polynomial.
x = (-1 + √5) / 2 and x = (-1 - √5) / 2
Therefore, the zeros of the polynomial x3 + 2x2 - x - 2 are -1, -2 and 4.
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does anyone know this question ?? please help
Answer:
Step-by-step explanation:
the 3rd
A graphed line passes through the points (12, 5) and (12, 9) A graphed line passes through the points (12, 5) and (12, 9)
The line that passes through (12, 5) and (12, 9) is a vertical line, and its equation is:
x = 12
How to find the equation of the line?We know that we have a line that passes through points (12, 5) and (12, 9).
Notice that the x-value of the two points is the same one, then we will have a vertical line of the form:
x = a
The x-value in both points is 12, then the constant value of the line is 12, thus the equation for the line that passes through these two points is:
x = 12.
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1
The graph shows an image of a dilation about the origin with a scale factor of 2.
-10-8-6-4-
2
40
1
What are the coordinates of the pre-image of A', point A?
(-8,-12)
01
8 10 X
As a result, the answer to the provided coordinate plane problem is only choice C), which is the right answer.
What is a coordinate plane?The term "coordinate plane" refers to a two-dimensional region that consists of two number lines. It emerges when the X-axis & Y-axis intersect at a location known as the origin. Using the numbers on a coordinate grid, one can locate points.
Here,
Since, If there is a coordinate plane with both parallel lines, go with option A.
Therefore, there is no cure.
There are hence a finite number of solutions that could be found.
If two lines cross, there is only one potential result for Option B. Consequently, the quantity of potential solutions is.
According to Option C, there must be an endless number of solutions to the system because there are two coinciding lines that provide us an infinite number of junction sites.
The difference between Option D) and Option B) is noted.
Only choice C) is hence the proper one.
Therefore , the solution to the given problem of coordinate plane comes out to be Only choice C) is hence the correct one.
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Two bridges, A and B, run parallel to each other over a narrow river. Bridge A crosses the river at an exterior angle of (2x) . Bridge B crosses at angle of (4x-6). These two angles are supplementary.
What is the measure of the angle represented by the expression (4x-6)?
The measure of angle B crossing the river perpendicularly is 110°.
What are supplementary and complementary angles?When the sum of the two angles is 180° they are said to be supplementary.
When the sum of the two angles is 90° they are said to be complementary.
Given, Bridge A crosses the river at an exterior angle of (2x), Bridge B crosses at an angle of (4x-6) and these two angles are supplementary.
So, The sum of these two angles are 180°.
Therefore,
4x - 6 + 2x = 180°.
6x = 174°.
x = 174°/6.
x = 29°.
So, The measure of the angle B is (4(29) - 6)°.
= 116 - 6.
= 110°.
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What are the 7 forms of gender inequality?
Gender inequality refers to the unequal distribution of rights, opportunities, and resources between individuals based on their gender. There are many forms of gender inequality, but some common ones include economic inequality, educational inequality, health inequality, political inequality, violence against women, social inequality and intersectionality.
Economic inequality: This refers to the unequal distribution of wealth, income, and resources between men and women. This can manifest in various forms, such as the gender pay gap and lack of representation in leadership positions.
Educational inequality: This refers to the unequal access to education and the resulting disparities in literacy rates and educational attainment between men and women.
Health inequality: This refers to the unequal access to healthcare and the resulting disparities in health outcomes between men and women.
Political inequality: This refers to the underrepresentation of women in politics and leadership positions, as well as the lack of policies and laws that promote gender equality.
Violence against women: This refers to the widespread problem of physical, sexual, and emotional abuse against women.
Social inequality: This refers to the unequal distribution of social status, power, and privilege between men and women, which can manifest in various forms of discrimination, prejudice, and bias.
Intersectionality: This refers to the ways in which gender inequality intersects with other forms of inequality, such as race, class, and sexuality, creating complex and interconnected forms of disadvantage for certain individuals and groups.
It's important to note that Gender inequality can manifest in various forms and it can have a significant impact on individuals and groups, leading to reduced opportunities, access to resources, and lower quality of life. Therefore, it's crucial to understand and address gender inequality in all its forms.
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Do the side lengths 9 12 and 15 form a right triangle?
The sides of lengths 9, 12 and 15 will form right angled triangle with 15 as hypotenuse.
We can check if the mentioned side form right angled triangle or not by checking the values through Pythagoras theorem. The hypotenuse will be 15 from mentioned sides, as it is longest. Now, writing the Pythagoras theorem.
Hypotenuse² = Perpendicular² + Base²
15² = 9² + 12²
Taking square on the right and left hand side of the triangle
225 = 81 + 144
Performing addition on Right Hand Side of the triangle
225 = 225
Since both sides of equation are equal, hence, right angled triangle can be formed.
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Your friend Tammy just got a part-time job so she can afford to attend a school trip abroad later this school year. Tammy gets a paycheck on the 1st of every month, and a cash payment is due to the International Club advisor by the 3rd of every month with no exceptions. More than one late payment results in being removed from the trip. What recommendation do you have for Tammy?
I recommend that Tammy create a budget to keep track of her income and expenses. She should also set up automatic payments for her International Club advisor so she doesn't miss any payments. Additionally, Tammy should create a savings plan for the trip to make sure she has enough money for it. Finally, she should start the habit of setting aside money from each paycheck for the trip, so she has a consistent source of funds when she needs them.
Is this correct? 4.8%=4.888%=488.8
The value of the expression of the percentage as the friend details is; 0.04888....... and as such the friend is not correct
How to find the percentage?Percentages are usually calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by:
Percentage = (value / total value) * 100%
Now, we are given the number 4.8% with 8 having a bar over it.
A bar over a number is called vinculum and it means that the number is being repeated indefinitely after a decimal point.
This tells us that our given number can now be expressed as;
4.888.....%
This is because from the definition of vinculum , 8 is repeated indefinitely. Thus, this can be simplified as;
4.888...../100 = 0.04888.......
Thus, the friend is not correct in conclusion.
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What is the exponential value of 3?
The exponential value of 3, also known as [tex]e^3[/tex] is the value of the mathematical constant e (approximately equal to 2.71828) raised to the power of 3.
To calculate [tex]e^3[/tex] , we would use the following formula:
[tex]e^3[/tex]= e x e x e = 2.71828 x 2.71828 x 2.71828 = 20.0855
So, the exponential value of 3 is approximately 20.0855.
It's important to note that the exponential value of any number is a real number, the value of e is raised to the power of that number. The mathematical constant e, also known as Euler's number, is an important number in mathematics and is used in various branches such as calculus, statistics and probability. It has also been used in physics and engineering, it appears naturally in many processes such as radioactive decay, natural growth and decay of populations, and more.
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What does the y-intercept of the line of best fit represent?
The y-intercept indicates the y-value when the x-value is 0.
What does the y-intercept look like?
When a linear equation is expressed in slope-intercept form (y=mx+b), the constant variable b stands in for the y-intercept. As an illustration, the variable b corresponds to the number 8 in the equation y=6x+8. The y-intercept is shown here.
In regression, what does the y-intercept stand for?
In regression analysis, the point at which the regression line crosses the y-axis is known as the constant term. The y-intercept is another name for the constant.
The easiest way to depict the overall picture of what the collected data is indicating is with a straight line, which is what a linear regression does. It aids in our ability to determine whether the two things under investigation are related or have a correlation.
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Which addition would MOST likely improve the effectiveness of the advertisement?
a picture of the pillow
a personal quote from someone who has used the pillow
research that verifies the number of people who preferred the pillow
a consumer safety rating
Answer:
Research that verifies the number of people who preferred the pillow.
Sorry, if I'm wrong.
12 sodas for 3.24 find the unit rate
Answer:
Step-by-step explanation:
0.27 is the answer
Explain how solve 4x + 3 = 7 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth. 15 PTS!!!
The solution for 4ˣ⁺³ = 7 using change of base formula is -1.596
How to solve 4ˣ⁺³ = 7 using the change of base formula log base b of y equals log y over log b?To solve 4ˣ⁺³ = 7 using change of base formula log base b of y equals log y over log b, we are going to use logarithm rules.
If f(x) = g(x), then ln(f(x)) = ln(g(x)). Thus,
ln( 4ˣ⁺³) = ln(7)
Using log rule:
[tex]\log _{a} x^{b} = b \log _{a}(x)[/tex]
ln (4ˣ⁺³) = ln(7)
(x+3) · ln(4) = ln(7)
(x+3) · ln(2²) = ln(7)
(x+3) · 2ln(2) = ln(7)
x+3 = ln(7) / (2ln(2))
x = [ln(7) / (2· ln(2))] - 3
x = -1.596
Thus, the solution is x = -1.596
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Answer:
Did he round up?
Step-by-step explanation:
Find the range for the measure of the third side of a triangle when the measures of the other two sides are 13 in. And 27 in.
Answer: The measure of the third side of a triangle, when the measures of the other two sides are 13 in and 27 in, must be greater than the difference between the measures of the other two sides (which is 27 in - 13 in = 14 in) and less than the sum of the measures of the other two sides (which is 27 in + 13 in = 40 in).
This is because according to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So the measure of the third side must be between the difference of the two given sides and the sum of the two given sides.
Therefore the range of the measure of the third side of a triangle with side lengths 13 in and 27 in is:
(14 in < x < 40 in)
or
[x > 14 in and x < 40 in].
It is also important to note that any value of x within this range will produce a valid triangle, however any value less than 14 in or greater than 40 in will not.
Step-by-step explanation:
is 60/77 and 17/6 Proportional
Use the point in the graph to find the equation of the line in point-slope form
A
y-3=5(x-1)
B
y+3=5(x+1)
C
y+3=5(x-1)
D
y-3=5(x+1)
Answer: the correct answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The equation of the graph in the slope intercept form is
y = 5x -2
The slope is 5. If you start at the y-intercept (0, -2) and go up 5 and 1 to the right you will be at the red point (1,4). The slope is the rise over the run.
[tex]\frac{5}{1}[/tex] = 5.
The y -intercept is where the line crossed the y axis (0,-2)
The y intercept is -2
A
y - 3 = 5x - 5 Add 3 to both sides
y - 3 + 3 = 5x - 5 + 3
y = 5x -2
Solve the inequality -1/2 > 3/5
To solve the inequality -1/2 > 3/5, we can start by multiplying both sides of the inequality by the least common multiple of the denominators, which is 10, to get rid of the fractions. This gives us:
-1/2 * 10 > 3/5 * 10
-5 > 6
This inequality is not true, since -5 is not greater than 6. So the solution set is the empty set, or { }.
What is the new substitution rule?
The new substitution rule states teams will be able to make five substitutes instead of the traditional three during each match.
Teams have decided to allow more substitutions after voting in favor of the change. Teams will now be permitted to use five substitutions instead of the customary three throughout each game starting in the 2022/2023 season.
The primary motivation for this choice is to lessen the negative impacts of increased match intensity and fixture congestion, which are thought to have a direct influence on player health and well-being. Over time, it will become clear how an increase in substitutes would affect player health and happiness.
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Jim began a 167-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking. The whole trip took 6 hours. If Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour, find the amount of time he spent on the bicycle.
The amount of time he spent on the bicycle is 5.5 hours.
How to find the amount of time he spent on the bicycle?Jim began a 167-mile bicycle trip to build up stamina for a triathlete competition. Unfortunately, his bicycle chain broke, so he finished the trip walking.
The whole trip took 6 hours. Jim walks at a rate of 4 miles per hour and rides at 30 miles per hour.
The amount of time he spent on the bicycle can be calculated as follows;
speed = distance / time
distance = speed × time
Therefore, total distance is as follows:
let
x = time spent walking
167 = 4x + 30(6 - x)
167 = 4x + 180 - 30x
167 = -26x + 180
167 - 180 = -26x
x = -13 / -26
x = 1 / 2
Time spent on bicycle = 6 - 0.5 = 5.5 hours.
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Solve for x.
Enter your answer.
A square with side lengths 5 times x centimeters and diagonal length of 50 centimeters.
The value of x in the square is 5√2 centimetres.
How to find the side of a square?A square is a quadrilateral with 4 sides equal to each other. The square has side length 5 times x centimetres and the diagonal length is 50 centimetres.
Therefore, the side x can be found using Pythagoras's theorem as follows:
c² = a² + b²
where
c = hypotenusea and b are the other legsTherefore,
50² = (5x)² + (5x)²
2500 = 25x² + 25x²
2500 = 50x²
divide both sides by 50
x² = 2500 / 50
x² = 50
square root both sides of the equation
x = √50
x = √25 × 2
x = 5√2 centimetres
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please help me figure this out with an explanation thank you
The three numbers are: 23, 25, 27, The boy is 140 cm tall, the father is 140 + 30 = 170 cm, and the sister is 70 cm tall.
What is an equation?In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions.
The terms 3x + 5 and 14 are separated by the word "equal" in the equation 3x + 5 = 14. The three main formats for linear equations are the slope-intercept form, standard form, and point-slope form.
Two expressions are combined with an equal sign to form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. It is possible to solve this equation, and the answer reveals that the value of the variable x is 7.
Let the the first number is : x
So, the other two numbers are :x+2, x+4
a) x+(x+2)+(x+4)=75
3x+6=75
3x=69
X=23
The three numbers are: 23, 25, 27
b)The sister's height is denoted as x. Two times, since the boy is twice as tall. His height is 2x + 30 because the father is 30 centimeters taller than the boy. The total height is 3.8 meters, or 380 centimeters. You can now create an equation.
x + 2x + 2x + 30 = 380
assemble similar terms
5x = 350
x = 70
The boy is 140 cm tall,
the father is 140 + 30 = 170 cm,
and the sister is 70 cm tall.
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