Answer:
1) 3 7/9
2) 3 2/5
3) 5 1/4
4) 1 5/6
5) 7 2/7
Step-by-step explanation:
For each one, divide the numerator by the denominator, and leave the remainder. The answer (a whole number) is your full number, and the fraction is the remainder over the denominator.
Which is equivalent to (6^4)^6
6th GRADE MATH! PLEASE HELP EEEEEEEEE
Answer:
-4m+10
Step-by-step explanation:
Answer:
-4m+10
explanation:
6m-10=-4m
+10
-4m+10
Calculate the area of the following composite figure.
10+2+5
S
6 cm
10 cm
15 cm
The calculated area of the composite figure is 85 cm².
How to calculate the the area of the composite figureTo calculate the area of a composite figure, we need to break it down into simpler shapes and then calculate the area of each shape separately.
Rectangle:
Area = length × width.
Therefore, the area of the rectangle is 10 cm × 6 cm = 60 cm².
Triangle:
Area = (1/2) × base × height.
Therefore, the area of the triangle is (1/2) × 5 cm × 10 cm = 25 cm².
To find the total area of the composite figure, we add the areas of the rectangle and the triangle:
Total Area = Area of Rectangle + Area of Triangle
= 60 cm² + 25 cm²
= 85 cm².
Therefore, the area of the composite figure is 85 cm².
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What’s the square root of √125
Answer: \(5\sqrt 5\)
Step-by-step explanation:
Sol \(\sqrt 125\) = \(\sqrt{25.5}\)
= \(\sqrt{25}\) x \(\sqrt{5}\)
\(5 \sqrt{5}\)
using the disk method, determine the volume of a solid formed by revolving the region bounded above by the line , on the left by the line , on the right by the curve , and below by the line the about the -axis.
The volume of a solid formed by revolving the region bounded above by the line is (932π/15)
To use the disk method, we need to integrate over the axis of revolution, which is the y-axis in this case. We can break the solid into vertical disks of thickness dy.
The radius of each disk is given by the distance between the y-axis and the curve \(x = y^2 - 1\). So the radius is:
\(r = y^2 - 1\)
The height of each disk is the difference between the y-coordinate of the top curve y = 3 and the y-coordinate of the bottom curve y = 1. So the height is:
h = 3 - 1 = 2
The volume of each disk is then:
\(dV = \pi r^2h dy\)
Substituting r and h, we have:
\(dV = \pi (y^2 - 1)^2 (2) dy\)
To find the total volume, we integrate over the range of y from 1 to 3:
\(V = \int_{1}^{3} \pi(y^2 - 1)^2 (2) dy\)
This integral can be simplified by expanding the squared term:
\(V = \int_{1}^{3} \pi (y^4 - 2y^2 + 1) (2) dyV = 2\pi \int_{1}^{3}(y^4 - 2y^2 + 1) dyV = 2\pi [(1/5)y^5 - (2/3)y^3 + y]^3_1\)
V = \(2\pi [(1/5)(3^5 - 1^5) - (2/3)(3^3 - 1^3) + (3 - 1)]\)
V = 2π [(1/5)(242) - (2/3)(26) + 2]
V = 2π [(242/5) - (52/3) + 2]
V = 2π [(726/15) - (260/15) + 30/15]
V = 2π [(466/15)]
V = (932π/15)
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Note: The full question is
Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given lines. y = 1, y = 3, x = y^2 - 1.
Claudia’s skis are 150 centimeters long. How many millimeters is this?
Answer:
1500
Step-by-step explanation:
Suppose P(x) = 3x 2−4x−7 is a quadratic function and we suspect that 8 3 is a zero of P(x). How can we confirm our suspicion?
P(8/3) is not equal to zero, we can conclude that 8/3 is not a zero of P(x). Therefore, our suspicion was incorrect.
What is quadratic equation and how to solve it ?
A quadratic equation is a second-degree polynomial equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.
To solve a quadratic equation, there are different methods, such as factoring, completing the square, and using the quadratic formula. The quadratic formula is the most general method and can be used for any quadratic equation.
It states that the solutions to the equation ax^2 + bx + c = 0 are given by the formula
x = (-b ± sqrt(b^2 - 4ac)) / (2a).
We can use this formula to find the roots of the equation by substituting the values of a, b, and c into the formula and simplifying.
To confirm if 8/3 is a zero of the quadratic function P(x) = 3x^2 - 4x - 7, we can substitute 8/3 for x in the equation and check if the resulting expression is equal to zero. If P(8/3) equals zero, then we can confirm that 8/3 is indeed a zero of P(x).
P(8/3) = 3(8/3)^2 - 4(8/3) - 7
= 3(64/9) - 32/3 - 7
= 64/3 - 32/3 - 21/3
= 11/3
Since P(8/3) is not equal to zero, we can conclude that 8/3 is not a zero of P(x). Therefore, our suspicion was incorrect. If we want to find the zeros of P(x), we can use the quadratic formula or factor the equation into (3x + 1)(x - 7) = 0 to get the roots x = -1/3 and x = 7.
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What is the additive inverse of the complex number 9-4i?
Answer:
\( \frac{1}{9 - 4i} \)
I'm not sure
Find the slope of the line.
Step-by-step explanation:
_6,_3 I hope this help it like it should (_6,2) (_1,0)
WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!
This scale drawing shows a reduction in a figure.
What is the value of x?
Enter your answer as a decimal in the box.
X =
The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.
Given two triangles.
Also given that, the scale drawings given are the reduction of the figure.
Most probably, the second triangle must be formed after a reduction with a scale factor of k.
Let k be the required scale factor.
The value of k can be found by taking the ratio of the corresponding sides.
k = 5.2 / 10.4
= 0.5
So all the corresponding sides will be half of the first triangle.
x = 0.5 × 12.6
= 6.3 feet
Hence the value of x is 6.3 feet.
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What is the solution to problem 1.5? Please explain how you got to that conclusion.
If four loaves of bread costs $8, a loaf of bread and a bag of oranges costs $8, and a loaf of bread, two bags of oranges and a basket of apples costs $19, what is the cost of a basket of apples?
basket of apples cost $6
Step-by-step explanation:
8/4 bread= $2
8-2=6
$6= 1 bag of orange
19-13=6$
Gwen has loyalty card for a store that gives her a discount of 5% off the marked price of items. Office Chair $800, Acer Laptop $4580.
(a) How much will she pay if she bought the two items above?
(b) The store buys the chairs at $1 530 for two. Show whether the store made a profit on the one chair from Gwen’s Purchase.
Write the composition of translations as one translation:
Answer:
sum like dat
Step-by-step explanation:
is a combination of two or more ... lines has the same effect as a translation (twice the distance between the parallel lines).
i need help pls i do not get it
The perimeter and the area of the fountain is calculated to be
94.25 feet and 625.32 square feet respectively
How to find the perimeter and the area of the fountainThe perimeter of the fountain consisting of two semicircles and a quarter circle is
= perimeter of semicircle * 2 + perimeter of circle * 1/4
= π d + 2 π r * 1/4
for semicircle, diameter, d = 20 ft
for circle, radius r, = 20 ft
substituting the values
= 20π + 2 * π * 20 * 1/4
= 20π + 10π
= 30π
= 94.25 feet
Area of the fountain
= area of semicircle * 2 + area of circle * 1/4
area of semicircle * 2 = area of circle of radius 10 ft
for semicircle, radius, r = 10 ft
for circle, radius r, = 20 ft
= π 10² + π 20² * 1/4
= 100π + 100π
= 200π
= 625.32 square feet
The area of the fountain is 625.32 square feet
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Choose the equation that represents the solutions of 0 = 0.25x² - 8x. 0.25± √(0.25)² - (4)(1)(-8) 2(1) O O X = X = X = X = -0.25± √√(0.25)² – (4)(1)(-8) 2(1) 8± √(-8)²-(4)(0.25) (0) 2(0.25) -8± √(-8)²-(4)(0.25)(0) 2(0.25)
The given equations represent the solutions of 0 = 0.25x² - 8x
What is an equation?An equation is a mathematical statement that shows the equality of two expressions, typically separated by an equal sign. Equations are used to solve problems and model real-world situations in many fields, including physics, engineering, and finance.
Redirecting to answer:
The equation 0 = 0.25x² - 8x can be rewritten as:
0.25x² - 8x = 0
Factoring out x gives:
x(0.25x - 8) = 0
So the solutions are x = 0 and 0.25x - 8 = 0, which gives x = 32.
Therefore, none of the given equations represent the solutions of 0 = 0.25x² - 8x
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Enid jogs on a treadmill for exercise. Each time she finishes jogging, the treadmill will report the number of calories she burned. Enid claims that the distance she jogs and the number of calories she burns are in a proportional relationship. Data from her last four jogs are shown.
HELP QUICK
The correct statement is: She should calculate the ratio between the number of calories she burned versus the number of miles she ran.
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here: The table containing data calories vs miles run.
You can tell if a table shows a proportional relationship by calculating the ratio of each pair of values. If those ratios are all the same, the table shows a proportional relationship.
Thus calculating the ratio for each pair of entries we get
1) ratio=118/1.2
=295:3a or unit rate 98.33 calories per mile
2) 190/2= 95:1 or unit rate 95 calories per mile
3) 226/2.4=565:6 or unit rate94.1
clea,rly the ratios are different.
Hence, The table containing the data doesn't form a proportional relationship.
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Assume a company is preparing a budget for its first two months of operations. During the first and second months it
expects credit sales of $40,000 and $77,000, respectively. The company expects to collect 30% of its credit sales in
the month of the sale and the remaining 70% in the following month. What amount of cash collections from credit
sales would the company include in its cash budget for the second month?
Multiple Choice
$23,100
$51,100
$53,900
$35,100
Write 0.000000624 in scientific notation
Answer:
6.24 x \(10^{-7}\)
Step-by-step explanation:
0.000000624 in scientific notation is 6.24 x \(10^{-7}\)
Answer:
Step-by-step explanation:
The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.
what is 7(3x+5y) simplify .
Answer:
21x +35y
Step-by-step explanation:
7(3x+5y)
Distribute
21x +35y
Answer:
7(3x + 5y) = 0 (3x * 7 + 5y * 7) = 0 (21x + 35y) = 0 Solving 21x + 35y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms ...
Step-by-step explanation:
The circumference of the tire of Melvin’s cycle is 2.5m. He took part in a race of 2km. When
he had covered 1.2km, the tire burst. To finish the race, how many more times should the wheel go
round?
Answer:
320
Step-by-step explanation:
Distance to go
2km - 1.2 km = 0.8km = 800m
Revolutions needed
800/2.5 = 320
convert the equation y+7=-3/2(x-4) to standard form
The answer is y-7=4(x+4)
Michael wants to buy some new exercise equipment for his home gym for 372,000 financial at an annual interest rate of 12% using the add on method. If michael wants to pay off the loan in 2 years. What will be his monthly payment?
Step-by-step explanation:
the answer of this question will be 88,800
Answer:
Step-by-step explanation:
T/F In order for two tuples to be equal, they must have the same length and corresponding items must have the same value.
In order for two tuples to be equal, they must have the same length and corresponding items must have the same value.
The answer to this is True.
Tuples are used to store multiple items in a single variable.
Tuple is one of 4 built-in data types in Python used to store collections of data, the other 3 are List, Set, and Dictionary, all with different qualities and usage.
A tuple is a collection which is ordered and unchangeable.
Tuples are written with round brackets.
When are 2 tuples equal?
Two tuples are equal, if they have got the same number of elements and if their elements are equal. Two tuple elements are equal, if they are both (integer or floating point) numbers or both are strings and contain the same value.
Therefore, the answer to this question is True.
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Please help this is 10 points only but please help my little sister needs help with this
Answer:
Step-by-step explanation:
the cost is $111
\(\( y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t \)\)
The value of intergal \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\) is
\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)
In mathematics, an integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals, together with derivatives, are the two main tools used in calculus and are used to calculate areas, volumes, and their generalizations.
The integral \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\) can be evaluated by first completing the square and then using the substitution method.
Completing the square gives us \(( 3 t^{4} -1 = (3t^{2} -1)^{2} \)\).
We can now make the substitution \(( u = 3 t^{2} -1 \)\)).
Differentiating, we get \(( du = 6t dt \)\)).
Therefore, the integral can be written as\(y=\int_{-2}^{x} \sqrt{(3t^{2}-1)^{2}} \frac{du}{6t} \)\).
Solving the integral, we get:
\(y = \frac{1}{6} \sqrt{(3t^{2}-1)^{2}} +C \)\)
Substituting back into the equation, we get the answer as:
\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)
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Your goal is to save $50. So far, you have saved $34. How much more money do you need to save? Write your answer as a rational number.
Answer:
You need to save $16 more dollars.
Step-by-step explanation:
If you add 16 to 34 you get 50.
A health care organization, StarCare, wants to implement a program to increase use of diabetes care services. In the past StarCare has billed insurance companies $350 per group session on cardiac care, a similar service, and thus plans to bill $350 for the diabetes group sessions. Operational expenses for the diabetes care services will be $1,000. Because StarCare is concerned with quality of services, it plans to have a consistent group size of 20 participants. However, the number of group facilitators will vary based on the number of diabetes care group participants. For every participant, it costs StarCare $300 in facilitator salary and other expenses. StarCare will only do one session if it is profitable. Based on this information, what are the (a) fixed costs for the proposed diabetes care program and the (b) the total variable costs for 20 participants?
Answer:
a) The fixed cost is $1350.
b) Total variable cost is $6000.
Step-by-step explanation:
a) The fixed cost = Operational cost + Insurance company bill.
= $ 1000 + 350 = $1350.
b) Variable cost:-
The number of facilitators = 20.
The salary for each facilitator = $300.
Total variable cost = $300 x 20 = $6000.
Good people please help me!!!!
Answer:
a) |sec(θ)|
b) 2cot(2x)
Step-by-step explanation:
Trig identities are used to simplify these expressions. Several are used:
tan(180°-x) = -tan(x)cot(90°-x) = tan(x)1 +tan(x)² = sec(x)²tan(x) = sin(x)/cos(x)sin(2x) = 2sin(x)cos(x)cot(x) = cos(x)/sin(x)__
a.\(\sqrt{1-\tan(180^\circ-\theta)\cot(90^\circ-\theta)}=\sqrt{1-(-\tan(\theta))\tan(\theta)}\\\\=\sqrt{1+\tan^2(\theta)}=\sqrt{\sec^2(\theta)}=\boxed{|\sec(\theta)|}\)
__
b.\(\dfrac{\cos(2x)\tan(x)}{\sin^2(x)}=\dfrac{\cos(2x)}{\sin^2(x)}\cdot\dfrac{\sin(x)}{\cos(x)}=\dfrac{\cos(2x)}{\sin(x)\cos(x)}\\\\=\dfrac{\cos(2x)}{\left(\dfrac{\sin(2x)}{2}\right)}=2\dfrac{\cos(2x)}{\sin(2x)}=\boxed{2\cot(2x)}\)
whats 5/6 x 2/9 in simplest form
Answer:
5/27
Step-by-step explanation:
This is the fraction form I believe, correct me if I'm wrong