Answer:
40
Step-by-step explanation:
\(f(x) = x ^{2} + 4\)
\(f(x) = 6 ^{2} + 4\)
6 times 6 equals 36
36 plus 40
I need to fill in the blank and find the property of addition used and in not sure how to do that
To solve this question, let's say the unknown values are x.
Part 01:
\(x+0=3\)To solve it, you can use the Identity property.
According to this property, adding 0 to a number does not change the number.
So,
\(\begin{gathered} x=3 \\ 3+0=3 \end{gathered}\)Part 02:
\(9+2=2+x\)To solve it, you can use the Commutative Property.
According to this property, changing the order of addends does not change the result.
\(\begin{gathered} x=9 \\ 9+2=2+9 \end{gathered}\)Part 03:
\(3+(5+6)=(3+5)+x\)To solve it, you can use the Associative Property.
According to this property, you can change the grouping of the addends without changing the result.
\(\begin{gathered} x=6 \\ 3+(5+6)=(3+5)+6 \end{gathered}\)
A box of cereal states that there are 96 calories in a 3/4 cup serving. What is the unit rate. Of calories per cup? How many calorie are there in 3 cups.
Answer: 384 calories
Step-by-step explanation:
Answer:
7335
Step-by-step explanation:
Explain whether the research topic is best investigated through an experiment or an observational study. Then describe the design of the experiment or observational study.
1. A cycling team wants to know whether incorporating yoga into a workout routine improves racing times.
2. A researcher wants to compare the effects of a new experimental cancer drug with a cancer drug that has been used for at least 10 years.
Follow the guided instructions below to rotate the figure 90° counter-clockwise about
the origin.
Draw a circle centered at the center of rotation, such that one of the vertices
of the figure is on the circle.
10 9 -8
5 4 3 2
10
3
5
9 10
-X
When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.
What are the new coordinates?The old coordinate where were rotated are:
A(-5,8)
B (-1, 7)
C(-3, 5)
D(-4, 2)
To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x -coordinate.
The new coordinates are after 90 degrees, counterclockwise are
A' = (-8, -5)
B' = (-7, -1)
C' = (-5, -3)
D' = (-2, -4)
See attached image.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See attached image.
Read 3 integer numbers from the user; these numbers represent the lengths of 3 straight lines. From the 3 lengths, determine whether a triangle can be formed with the corresponding lines. If it is possible to form a triangle, determine whether the triangle is a right triangle or not. The rules to be used are: 1. To form a triangle where all lines’ ends meet (form vertices), the sum of the lengths of two sides must be greater than the length of the third side. This short video illustrates this concept: How to determine if the three sides make up a triangle. 2. Per the Pythagorean theorem: in a straight triangle, the square of the length of the longest side (the hypotenuse) is equal to the sum of the squares of the lengths of the other two sides. 3. The user can enter the lengths of each line in any order, i.e.: you may not assume that the first length is the longest or the smallest or the middle value.
Answer:
Written in Python
print("Enter three sides of a triangle: ")
length = []
for i in range(0,3):
inp = int(input(""))
length.append(inp)
length.sort()
if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:
print("Triangle")
if length[2]**2 == length[0]**2 + length[1] **2:
print("Right Angled")
else:
print("Not Right Angled")
else:
print("Not Triangle")
Step-by-step explanation:
This line prompts user for sides of triangle
print("Enter three sides of a triangle: ")
This line declares an empty list
length = []
The following iteration gets user input
for i in range(0,3):
inp = int(input(""))
length.append(inp)
This line sorts user input
length.sort()
The following if condition checks if user input is triangle
if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:
The following is executed is the if condition is true
print("Triangle")
The following if condition checks if user input forms a right angled triangle
if length[2]**2 == length[0]**2 + length[1] **2:
print("Right Angled")
else:
print("Not Right Angled")
This is executed if user input is not a triangle
else:
print("Not Triangle")
3. You have a yard that has a width of 5 yd 1 ft and a
length of 30 ft. Find the simplified ratio of the width
to the length:
Answer:
5:47
Step-by-step explanation:
Can someone help find the surface area, then round the answer to the nearest whole number please?
The Surface Area of cylinders are: 100 yd² , 264 m², 226 mm²
The Surface Area of Can is 219 cm².
We know the formula for Surface Area of Cylinder
= 2πrh
1. Radius = 2 yd
Height = 8 yd
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 2 x 8
= 100 yd²
2. Radius = 7 m
Height = 6 m
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 6 x 7
= 264 m²
3. Radius = 3 mm
Height = 12 mm
So, Surface Area of Cylinder
= 2πrh
= 2 x 3.14 x 3 x 12
= 226 mm²
4. Radius = 3.5 cm
Height = 10 cm
So, Surface Area of Can
= 2πrh
= 2 x 3.14 x 3.5 x 10
= 219 cm²
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find the exact value of x. 45 degree and 10 side
Answer:
The exact value of the other leg is 10.
Step-by-step explanation:
Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.
Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:
c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.
Substituting known values, we get:
(10√2)^2 = 10^2 + b^2
200 = 100 + b^2
b^2 = 100
b = 10
Therefore, the exact value of the other leg is 10.
luke bought 6 pretzels for himself and friends he spent a total of $13.50 let p represent the price of one pretzel
Answer:
6p=$13.50
Step-by-step explanation:
WILL GIVE BRAINLIEST
3. Add or subtract the following terms:
a. (10x) + (22x) =
b. (-6x) - (-6x) =
c. (-13t) + (14x) - (+13t) =
d. (-4t) + (+4t) - (-3t) =
The simplified forms of the given expressions are
a. 32x
b. 0
c. -26t + 14x
d. 3t
Simplifying an expressionFrom the question, we are to simplify the given expressions by adding or subtracting
a. (10x) + (22x)
= 32x
b. (-6x) - (-6x)
= -6x + 6x
= 0
c. (-13t) + (14x) - (+13t)
= -13t + 14x - 13t
Collect like terms
= -13t -13t + 14x
= -26t + 14x
d. (-4t) + (+4t) - (-3t)
= -4t + 4t + 3t
= 3t
Hence, the simplified forms of the given expressions are
a. 32x
b. 0
c. -26t + 14x
d. 3t
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Listed below are the amounts of weight change (in pounds) for 12 women during their firstyear of work after graduating from college. Positive values correspond to women whogained weight and negative values correspond to women who lost weight. What is themean weight change
Answer:
Divide. Write the quotient in lowest terms.
4\dfrac{4}{5} \div 1\dfrac12 =4
5
4
÷1
2
Step-by-step explanation:
In our chapter on inverse functions, we discussed several charcteristics related to inverse functions. Asumme that you were given information that the points P(2, 4) was on the graph of a function, y. Therefore, the point Q, (___, ___) would be on the graph of y-1, the inverse function of y.
Write at least three sentences to explain how you can identify the point Q. Explain how you would find the coordinates and be sure to include the actual coordinates of point Q.
Answer: you could reflect the points (2, 4) to both axisis to find the inverse, add a negative in front of both numbers, or multiply the function by -1.
Step-by-step explanation:
Have a great night.
Which shows two expressions that are equivalent to (-8)(-12)(2)?
The solution is option C.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
(-8)(-12)(2)
=96*2
=192
so. we get,
It would be c because when you multiply 8 and 12 you get 96 and when you multiply 96x2 you get 192 .
so, therefore your answer is c.
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Find 3M + 7N. M= [2,-3],[0,6] and N=[-5,-1],[2,9]
The value of 3M + 7N will be;
⇒ 3M + 7N = \(\left[\begin{array}{ccc}-29&-16\\14&81\\\end{array}\right]\)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The values are;
⇒ M = \(\left[\begin{array}{ccc}2&-3\\0&6\\\end{array}\right]\)
⇒ N = \(\left[\begin{array}{ccc}-5&-1\\2&9\\\end{array}\right]\)
Now,
The value of 3M + 7N will be;
⇒ 3M + 7N = \(\left[\begin{array}{ccc}6&-9\\0&18\\\end{array}\right] + \left[\begin{array}{ccc}-35&-7\\14&63\\\end{array}\right]\)
= \(\left[\begin{array}{ccc}-29&-16\\14&81\\\end{array}\right]\)
Thus, The value of 3M + 7N after simplification is;
⇒ 3M + 7N = \(\left[\begin{array}{ccc}-29&-16\\14&81\\\end{array}\right]\)
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What is the correct answer for this
The smallest to the largest side is SQ, RS, QR, the correct option is B.
What is a Triangle?A triangle is a polygon with three sides, angles, and vertices.
The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse, acute and right-angled triangle and scalene, isosceles and equilateral triangle.
The measure of angle of the triangle is 56°, 83°, and 41°.
From the property of the triangle, the side opposite the bigger measure angle is the largest.
The measure of angle QRS is 41°, angle RQS is 56°, and angle QSR is 83°.
The smallest side will be the side opposite to QRS, i.e. SQ,
The largest side will be the side opposite to QSR, i.e. QR
The side in order from the smallest to the largest, SQ, RS, QR.
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The length of a rectangle is shown below:
If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (1 point)
A. C(−3, −2), D(1, −2)
B. C(−3, −1), D(1, −1)
C. C(−3, −4), D(1, −4)
D. C(−3, −5), D(1, −5)
Answer:
A - C(-3, -2), D(1, -2)
Step-by-step explanation:
13. The Castillo de San Marcos is a Spanish
fortress that was built between 1672
and 1695.
a. Rounded to the nearest ten
thousand, how many pesos did it
cost to build the fortress?
It cost 138,375
pesos to build this
fortress
b. How many years did it take to build
the fortress?
13. Determine if the following statement is true or false. Explain your reasoning.
The graph of a non-vertical straight line is always a function, but the graph
of a function is not always a straight line.
The evaluation of the statements with regards to the graph of a function are;
The graph of non-vertical straight line is always a function, but the graph of a function is not always a straight line is true.What is a function?A function maps an input value to an output based on a definition or rule.
First part of the statement;
The graph of a non-vertical straight line has a range of values for the slope, m, of 0 ≤ m < ∞
The equation of a straight line function is of the form; y = m·x + c
Therefore;
The graph of a non-vertical straight line can be represented by the equation, y = m·x + c, where y has possible values of; -∞ < y < ∞, which indicates that as x increases or decreases, y increases (or decreases), such that each value of x maps unto only one value of y, which indicates that the graph is a function. The statement is therefore true.
Second part of the statement.
The graph of the quadratic function; y = a·x² + b·x + c has a shape of a parabola, therefore, the statement, the graph of a function is not always a straight line is true also.
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Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by
y=x4 and y=125x
The volume of the solid formed by rotating the region inside the first quadrant enclosed by y=x⁴ and y=125x is 138438\(\pi\).
Let,
f(x) = 125x
g(x) = x⁴
Intersection points will be,
x⁴ = 125x
x = 0 , 3.3437
Volume V = \(\pi\)\(\int\limits^{3.34}_0{(125x)^{2} - x^8 } \, dx\)
=\(\pi\)\(\int\limits^{3.34}_0 {15625x^2-x^8} \, dx\)
=\(\pi\)[15625x³/3 - x⁹/9]₀³
=\(\pi\)[140625 - 2187]
= 138438\(\pi\)
The volume of the solid formed by rotating the region inside the first quadrant enclosed by two curves can be found using the method of cylindrical shells. This method involves cutting the solid into thin cylindrical shells and finding the volume of each shell. The sum of the volumes of the shells is equal to the volume of the solid.
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A number is between 40 and 45 . It has prime factors of 2 and 11. What is the number?
Answer: 42
Step by step:
42 is divisible by both 7 and 2
Answer:
44
Step-by-step explanation:
4 x 11 = 44
2 x 22 = 44
15 + z = 17.04
What is Z?
Answer:
2.04
Step-by-step explanation:
To find this we have to subtract 15 from both sides.
15 + z = 17.04
-15 -15
z = 2.04
what should she use as her common denominator
Please help geomtry!
Answer:
13
Step-by-step explanation:
By angle bisector property:
\( \frac{28}{49} = \frac{12}{2x + 7 - 12} \\ \\ \frac{4}{7} = \frac{12}{2x - 5} \\ \\ 4(2x - 5) = 12 \times 7 \\ \\ 8x - 20 = 84 \\ \\ 8x = 84 + 20 \\ \\ 8x = 104 \\ \\ x = \frac{104}{8} \\ \\ x = 13\)
15. Write the inequality system that is represented in the graph.
The inequality system that is represented in the graph are-
y < -x -1 and y ≤ x + 2.
How to find inequality system from the graph?We plot both equations in the very same coordinate system in order to visually solve any system of linear equations. The intersection of the two lines is where the system's answer will be found.Graph the resultant line by replacing the inequality sign with just an equal sign.Consider two point on dotted line.
(-1, 0) and (-2, 1)
Fine slope m:
m = (1 - 0)/(-2 + 1)
m = -1
Equation of line:
y - 0 = (-1)(x + 1)
y = -x -1
In the inequality system.
y < -x -1
Consider two point on bold line.
(0,2) and (-2, 0)
Fine slope m:
m = (0 - 2)/(-2 -0)
m = 1
Equation of line:
y - 2 = (1)(x + 0)
y = x + 2
In the inequality system.
y ≤ x + 2
Thus, the inequality system that is represented in the graph are-
y < -x -1 and y ≤ x + 2.
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Which ordered pair solves this linear system?
Y= -x
Y= 2x
The ordered pair that solves the system of equation is (0, 0).
To solve this system, we can substitute the first equation into the second equation to eliminate y:
x = 2x
Solving for x, we get x = 0.
Substituting x = 0 into the first equation, we get y = 0.
Therefore, the ordered pair that solves the system is (0, 0).
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On the interval 0° < 0 < 380°, how many values of 0 satisfy the equation 2 cos0 + cos 0 - 1 = 0?
Answer:b
Step-by-step explanation:
Mario needs a loan to buy a tractor for his farm. He qualified for a loan at 2 different banks.
.
First Bank of Trust
Loan Amount: $25,000
Annual Simple Interest
Rate: 6.5%
Loan Length: 4 years
What is
.
Enter your answer in the box.
.
Valor Bank
Loan Amount: $25,000
Annual Simple Interest
Rate: 4%
Loan Length: 6 years
total amount Mario will pay, including loan amount and interest, for the First Bank of Trust loan?
Answer:$31,500
Step-by-step explanation:
To calculate the total amount Mario will pay, including the loan amount and interest, for the loan from First Bank of Trust, we need to calculate the interest and add it to the loan amount.
The formula to calculate simple interest is:
Interest = (Loan Amount) x (Interest Rate) x (Loan Length)
Let's plug in the values given:
Loan Amount = $25,000
Interest Rate = 6.5% (or 0.065 as a decimal)
Loan Length = 4 years
Interest = $25,000 x 0.065 x 4 = $6,500
Now, let's calculate the total amount Mario will pay:
Total Amount = Loan Amount + Interest = $25,000 + $6,500 = $31,500
Therefore, the total amount Mario will pay, including the loan amount and interest, for the First Bank of Trust loan is $31,500.
Simplify.
28+3(5d-3)
Answer:
15d+19
Step-by-step explanation:
distribute 3(5d-3) first
= 15d-9
the expression is now 28+15d-9
combine 28 and -9
=19
bam u now have 15d+19
please help me answer this question.
The distance between points E(-8, 7) and L(-1, 4) on the coordinate plane is √58 units
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The distance between two points in the coordinate plane is given as:
\(Distance=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)
The distance between points E(-8, 7) and L(-1, 4) is:
\(EL = \sqrt{(4-7)^2+(-1-(-8))^2}=\sqrt{58}\)
The distance is √58 units
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Write a fraction the equivalent of 3/10 that has a denominator of 100