Answer:
First off if you want this answered make sure it's clear when your multiplying or using X
(5x^2+6)-(6x-5x^2)
5x^2 -- 5x^2 = 10x^2
10x^2 -6x + 6
Maths attachment Pythagoras theorem
The Pythagorean theorem, established by the ancient Greek philosopher Pythagoras, defines the relationship in a right-angled triangle between the squares of the lengths of the legs (a and b) and the hypotenuse (c) with the famous equation: a² + b² = c².
Explanation:The Pythagorean Theorem
The Pythagorean theorem is a fundamental principle in the field of mathematics, specifically in geometry. It was established by the ancient Greek philosopher, Pythagoras, who made significant contributions to understanding the relationships in geometric figures. The theorem reveals a specific relationship between the sides of a right-angled triangle. It states that the square of the length of the hypotenuse (√), which is the side opposite the right angle, is equal to the sum of the squares of the lengths of the other two sides. This can be elegantly expressed in the formula: a² + b² = c². Here, a and b represent the legs of the triangle, while c represents the hypotenuse.
For example, if a right triangle has legs of lengths 9 units and 5 units, using the Pythagorean theorem, we can calculate the length of the hypotenuse. We would square each of the legs (√9² + 5²), add these together, and take the square root to find that the hypotenuse is approximately 10.3 units long.
This theorem is not only a theoretical concept but is also practical in various real-world scenarios, such as calculating distances in navigation. An old adage suggests that the shortest distance between two points is a straight line. When dealing with the distances on a map or between points in space, a right triangle can often form, and using the Pythagorean theorem allows us to calculate the direct straight-line distance (hypotenuse) easily.
3.43
Can you help me Simplify this question
Answer:
192
Step-by-step explanation:
3 * 4^3
Using PEMDAS
Exponents first
4^3 = 4*4*4 = 64
Replace into the expression
3 *64
3*64 =192
What is the value of each person?
what is the area of this parallelogram h=2 in. b = 10 in .
Answer:
20 in^2
Step-by-step explanation:
smh
base * height = area
Answer:
20
Step-by-step explanation:
B X H
If the diameter of the smaller circle is 7 km and the width of the circular path is 0.5 km, find the area of the path. (Assume π=3.14)
Answer:
12.1
Step-by-step explanation:
Answer: 12.1
Because you have to plug in your numbers in the expression d = 7km
how do you expand (x-10)(x-10)
What is m<1 if m<3=80
Angles 1 and 3 are vertical angles, so they are congruent.
The height and radius of a cylinder are 23cm and 5cm what the volume?
Answer:
Around 1806.42
The ratio of the lengths of the radii of two spheres is 5 : 8. What is the ratio of the surface area of the smaller sphere to the surface area of the larger sphere?
1
5
8
25
40
64
125
512
The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,
⇒ 25 : 64
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio of the lengths of the radii of two spheres is 5 : 8.
Now, We get;
The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,
⇒ 5² : 8²
⇒ 5² / 8²
⇒ 25 / 64
⇒ 25 : 64
Thus, The ratio of the surface area of the smaller sphere to the surface area of the larger sphere is,
⇒ 25 : 64
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. Which one of the following equals a negative
number?
A) (-5) +9
B) (-9) + 5
C) 9+ 5
D) 5+(-9) +4
F) 9-(-5)
Answer:
b
Step-by-step explanation:
looked it up
Answer:
i think its b
Select whether the equation has a solution or not
-roots
-no roots
The circumference of a circular garden is 94.2 feet. What is the radius of the garden? Use 3.14 for it and do not round your answer.
please help !!!!!
Answer:
Use 3.14 for p and do not round your answer. The circumference of a circular garden is 128.74 feet. What is the diameter of the garden? Use 3.14
Radius (r) = 15 feet
What is circumference of circle?Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.
When we use the formula to calculate the circumference of the circle, then the radius of the circle is taken into account. Hence, we need to know the value of the radius or the diameter to evaluate the perimeter of the circle.
Circumference of a Circle Formula:
The Circumference (or) perimeter of circle = 2πr
where,
r is the radius of the circle
π is the mathematical constant with an approximate (up to two decimal points) value of 3.14.
Given,
Circumference of the circular garden:
C = 94.2 feet
Radius (r) =?
Circumference (C) = 2πr
94.2 = 2×3.14 × r
r = 94.2/6.28
r = 15 feet
Hence the radius of the park is 15 feet.
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What’s the answer to the picture shown
What is true about the points on the graph of y=2x?
A. Two of the coordinates on the graph are solutions to the equation y=2x.
B. There is one coordinate on the graph that makes y=2x true.
C. As the x-coordinates increase by 1, the y-coordinates increase by 2.
D. You can substitute the x-coordinate into the expression 2x to get the y-coordinate.
The correct statements about the graph of the equation y=2x are that as the x-coordinates increase by 1, the y-coordinates increase by 2, and you can get the y-coordinate by substituting the x-coordinate into 2x.
Explanation:Concerning the equation y=2x, option C is the correct statement about the graph. This is because linear equations like this represent a direct proportionality between variables x and y. When the x-coordinate increases by 1, the y-coordinate increases by the coefficient of x, in this case, 2, reflecting the equation's slope which is the constant rate of change for y in relation to x. Option D is also true because, for any point on the graph, substituting the x-coordinate into the expression 2x will yield the corresponding y-coordinate, as per the definition of a functional relationship in algebra. Thus, solutions to the equation y=2x include an infinite number of points on the graph, not just two as stated in option A, making options A and B incorrect.
The fuel consortium chairman at an airport recorded the cost per barrel of crude oil and the cost per barrel of jet fuel each week.
After plotting his results, the chairman noticed that the relationship between the two variables was fairly linear, so he used the data to calculate the following least squares regression equation for predicting the cost, in dollars, per barrel of jet fuel from the cost, in dollars, per barrel of crude oil.
y^=2+7/6x
What is the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs 78$. THE ANSWER IS $6!!
Answer:
Residual for the week will be $6.
Step-by-step explanation:
Regression equation predicting the per barrel cost of jet fuel is,
[tex]\hat{y}=2+\frac{7}{6}x[/tex]
where, [tex]\hat{y}[/tex] = cost of jet fuel
x = cost of crude oil per week
If the cost of crude oil in any week = $60
Then predicted cost of jet fuel,
[tex]\hat{y}=2+[\frac{7}{6}\times (60)][/tex]
= 2 + 70
= $72
Residual price = Actual cost - predicted cost
= $78 - $72
= $6
Therefore, residual price will be $6.
The residual of the week in which a barrel of crude oil costs $60 is $6
The least square regression equation is given as:
[tex]\mathbf{\^y = 2 + \frac 76x}[/tex]
When a barrel of crude oil costs $60, it means that x = 60.
So, we have:
[tex]\mathbf{\^y = 2 + \frac 76 \times 60}[/tex]
[tex]\mathbf{\^y = 2 + 7 \times 10}[/tex]
Multiply
[tex]\mathbf{\^y = 2 + 70}[/tex]
Add
[tex]\mathbf{\^y = 72}[/tex]
So, we have:
Actual Cost = $78
Predicted Cost = $72
The residual is then calculated as:
[tex]\mathbf{Residual = Actual - Predicted }[/tex]
This gives
[tex]\mathbf{Residual = \$78 - \$72}[/tex]
Subtract
[tex]\mathbf{Residual = \$6}[/tex]
Hence, the residual of the week is $6
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2 Points
To convert 13 feet to yards, you would use the ratio yan
3 feet
O A. True
O B. False
Answer:
True
Step-by-step explanation: 1 yard = 3 feet
Mike thought of a number. He added to it to two other numbers. One of these numbers was 12 less than his number, the other was 12 more than his number. The result of the addition was 15. What was Mike’s original number?
If Mikes original number is x, the equation is?
The number is?
Answer:
number 1 + number 2 + number 3 = 15
Number 1 = x + 12
Number 2 = x - 12
Number 3 = x
(x + 12) + (x - 12) + x = 15
x + 12 + x - 12 + x = 15
x + x + x +12 -12 = 15
3x = 15
x = 15/3 = 5
Check:
Number 1 = 17
Number 2 = 5 -12 = -7
Number = 5
number 1 + number 2 + number 3 = 15
17 + (-7) + 5 = 15
10 + 5 = 15
15 = 15
Answer is 5
Step-by-step explanation:
4x^4 -2x^3 -6x+3
How do I factor this four term polynomial?
Find the surface area of the solid figure.
Also I will give Brainly Crown for ever answers I need it ASAP
Answer:
The answer you put is right. Its 1120 :)
Step-by-step explanation:
Ryan plays basketball. Last year he averaged 22.8 points per game during his team’s 20 game
season. The schools record for total points scored in a season is 500 points. If Ryan increases his
scoring by 25%, will he break the school’s record? Show all work to support your conclusion.
Answer:
He would break the school record by 70 points.
Step-by-step explanation:
22.8*20= 456
456*.25= 114 (how many points he would be getting if he increased his scoring by 25%)
456+114= 570
I’m not good in algebra so help me out please ☹️
Answer:
I believe it's B.
Simplify |-10| + |5|
Answer:
Answer: 15
Step-by-step explanation:
Answer: 15
Step-by-step explanation:
Simplify |-10| to 10.
10+∣5∣
Simplify.
15
A car race is 500 miles long. If each lap is 2 miles and 50 laps have already
been completed, how many more laps are left in the race?
laps
Answer:
200 laps left
Step-by-step explanation:
50 * 2 = 100
100 miles have been completed
500 - 100 = 400
400 miles left
400 / 2 = 200
200 laps left
What is the area of figure ABCD?
104 square inches
120 square inches
136 square inches
168 square inches
Answer:
The answer is option 2.
Step-by-step explanation:
You have to use the formula of area of trapezium :
[tex]area = \frac{1}{2} \times (ab + cd) \times bc[/tex]
Let AB be 13 inches,
Let CD be 17 inches,
Let BC be 8 inches,
[tex]A = \frac{1}{2} \times (13 + 17) \times 8[/tex]
[tex] = \frac{1}{2} \times30 \times 8[/tex]
[tex] = \frac{1}{2} \times 240[/tex]
[tex] = 120 \: {inches}^{2} [/tex]
Jane took a piece of cardboard and cut out a triangle with measure 32°, 58°, and 90°, and side lengths 5 cm, 12 cm, and 13 cm. What kinda of triangle was cut out?
A. right, scalene
B. right, isosceles
C. isosceles, equilateral
D. acute, scalene
A circle has the equation x2+y2−8x−2y−17=0.
What is the equation of the circle in standard form?
(x−4)2+(y−1)2=34
(x+4)2+(y−1)2=34
(x−4)2+(y−1)2=17
(x+4)2+(y−1)2=17
Answer:
A
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 8x - 2y - 17 = 0
Collect the x- terms and the y- terms together and add 17 to both sides
x² - 8x + y² - 2y = 17
Use the method of completing the square on both x and y terms.
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 17 + 16 + 1
(x - 4)² + (y - 1)² = 34 → A
Answer:
(x−4)2+(y−1)2=34
Step-by-step explanation: hope this helps :)
Which graph is given by the radical equation?
d
Step-by-step explanation:
Dove lotion is $26.50 for a 24 oz bottle and $25 for a 22 oz bottle which is the better buy by how many ounces
What is 6.8784 rounded to the nearest thousandth?
Answer:
6.878
Step-by-step explanation:
I took the quiz
The nearest thousandth of the number will be 6.878.
What is a scientific expression?Scientific notation is the technic to express the larger or smaller numbers in the calculations to make calculations easy to solve and understand.
Given number 6.8784 can be rounded to the nearest thousandth by ignoring the three numbers after the decimal.
Therefore the nearest thousandth of the number will be 6.878.
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Which pair of
expressions are
equivalent?
A. 8(2r) and 10r B. 6r + 3 and 9r
C. 9(3r-4) and 27r - 36
D. r+r+r+r+r and r^5
The pair of expressions that are equivalent are 6r + 3 and 9r, and 9(3r-4) and 27r - 36.
Let's simplify each expression to see which pairs are equivalent:
A. 8(2r) = 16rB. 6r + 3 = 9rC. 9(3r - 4) = 27r - 36D. r + r + r + r + r = r^5Now, let's compare them:
A. 16rB. 9rC. 27r - 36D. r^5The equivalent pairs are:
B. 6r + 3 and 9r (after simplification, both equal 9r)C. 9(3r - 4) and 27r - 36 (after simplification, both equal 27r - 36)So, the correct answer is:
B. 6r + 3 and 9r C. 9(3r-4) and 27r - 36