Certain hot water bottles hold up to 1500 milliliters of water. how many liters are in 1500 milliliters
The sum of two numbers is 41 and the difference is 19 . what are the numbers?
to construct a line parallel to a given line m to a point not on m, you need to know how to construct_______angles?
A. right
B. acute
C. congruent
D. obtuse
order the bussiness owners up from youngest to oldest... Mark: 23 3/8 Steve: 23.45 Jeff: 23 1/4
How many different three digit locker combinations are possible if the digits are able to repeat?
A.30
B.1000
C.300
There are 1000 three digit locker combinations are possible if the digits are able to repeat.
The correct option is B.
If the digits are able to repeat, there are 10 options for each digit (0-9) in a three-digit combination.
Since each digit can be chosen independently, the total number of different three-digit combinations is given by:
Number of combinations
= Number of options for the first digit x Number of options for the second digit x Number of options for the third digit
Number of combinations = 10 x 10 x 10 = 1000
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Which exponential function goes through the points (1, 8) and (4, 512)?
f(x) = 4(2)^x
f(x) = 8(2)^-x
f(x) = 4(4)^-x
f(x) = 2(4)^x
Answer:
Therefore, the correct option is: (C.) [tex]\( f(x) = 2 \cdot 4^x \)[/tex]
Explanation:
To determine the exponential function that passes through the given points, we can use the general form of an exponential function:
[tex]\[ f(x) = a \cdot b^x \][/tex]
Where:
[tex]\( a \)[/tex] is the initial value or the value of the function when [tex]\( x = 0 \).[/tex]
[tex]\( b \)[/tex] is the base of the exponential function.
Given the points [tex]\((1, 8)\) and \((4, 512)\)[/tex], we can substitute these coordinates into the general form and solve for [tex]\( a \) and \( b \).[/tex]
Using the point [tex]\((1, 8)\):[/tex]
[tex]\[ 8 = a \cdot b^1 \][/tex]
[tex]\[ 8 = a \cdot b \][/tex]
Using the point [tex]\((4, 512)\):[/tex]
[tex]\[ 512 = a \cdot b^4 \][/tex]
We can divide the equation obtained from the second point by the equation obtained from the first point to eliminate [tex]\( a \)[/tex] and solve for [tex]\( b \):[/tex]
[tex]\[ \frac{512}{8} = \frac{a \cdot b^4}{a \cdot b} \][/tex]
[tex]\[ 64 = b^3 \][/tex]
Taking the cube root of both sides:
[tex]\[ b = 4 \][/tex]
Now that we have found the value of [tex]\( b \)[/tex], we can substitute it back into one of the equations to find \( a \). Let's use the first point [tex]\((1, 8)\):[/tex]
[tex]\[ 8 = a \cdot 4 \][/tex]
[tex]\[ a = 2 \][/tex]
So, the exponential function that passes through the points [tex]\((1, 8)\) and \((4, 512)\)[/tex] is:
[tex]\[ f(x) = 2 \cdot 4^x \][/tex]
HELLO,
FORMULA: Ax+By=C
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, $5,050 is collected. If 1,000 adults attended the fair, write and solve a linear equation to find the number of children that attended
ANSWER IN STANDARD FORM!
AND IF YOU ARE GOING TO ANSWER JOSEPH OR JURGEON I NEED AN HONEST ANSWER WITH EXPLANATION!
x = children
y = adults
1.50x +4.00y =5050
y = 1000
1.50x + 4.00(1000) = 5050
1.50x +4000.00 = 5050
1.50x= 1050
x = 1050 / 1.50 = 700 children atttended
graph y> 1-3x, I really need someone to answer this.
IM USING UP SO MANY POINTS CAUSE PEOPLE WONT ANSWER PLZ HELP-A business owes $8000 on a loan. Every month, the business pays 12 of the amount remaining on the loan.
How much will the business pay in the sixth month?
round 2.125 to the nearest hundreth.
Write in slope-intercept form of the equation of the line through the given point. Through: (-3,-3) and (4,0)
Answer:
y = 3/7 x - 12/7
Step-by-step explanation:
The slope is (0+3)/(4+3) = 3/7
So, now you have a point and a slope, so use the point-slope form. That gives you
y-0 = 3/7 (x-4)
Now just rearrange to slope-intercept form.
y = 3/7 x - 12/7
Find the missing values x and y
Simplify the expression shown.3x + 2 – 3x + 7 +5xwhat is the coefficient in the simplified expression?
The expression 3x + 2 - 3x + 7 +5x simplifies to 5x
when the terms containing variable 'x' are combined. Therefore, the coefficient in the simplified expression is 5.
Explanation:The given expression is 3x + 2 – 3x + 7 +5x.
To simplify this expression, we need to combine like terms, which in this case are terms with x.
The like terms are 3x, -3x, and 5x. When added together, they simplify to: 3x - 3x + 5x = 5x.
The number part of the term, excluding x, is referred to as the coefficient. So the coefficient of x in this simplified expression is 5.
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What is another name for m1?
A train travels from Chicago,Illinois to Los Angeles, ca in 1 day and 15 minuets. The distance between the two cities is 2,015.3 miles. How fast was the train going on average
There are 12 girls and 16 boys and Javier's math class or 26 girls and 14 boys and Javier's core class is the race ratio of girls to boys in the two classes equivalent
What is the 4 digit number in which the first digit is one-fifth of the last, and the second and third digits are the last digit multiplied by 3?
What is the solution to the inequality? 5t≤−15
For her phone service, Lucy pays a monthly fee of $18, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $81.20What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes and solve your inequality for m.
Identify the graph of 4+2i. Is the point at (2,4), (4,2), (4,-2), or (-4,2)?
The graph of the complex number 4 + 2i corresponds to the point (4, 2) on the complex plane, with 4 as the real part and 2 as the imaginary part.
To identify the graph of the complex number 4 + 2i, you can think of it as a point on the complex plane. In the complex plane, the horizontal axis represents the real part of a complex number, and the vertical axis represents the imaginary part. So, for the complex number 4 + 2i, the real part is 4, and the imaginary part is 2.
Now, let's locate this point on the complex plane:
The real part (4) corresponds to the horizontal axis.
The imaginary part (2) corresponds to the vertical axis.
So, the point (4, 2) on the complex plane represents the complex number 4 + 2i. Therefore, the correct answer is (4, 2).
In summary, the graph of the complex number 4 + 2i corresponds to the point (4, 2) on the complex plane, where 4 is the real part, and 2 is the imaginary part.
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please help!!! thx!!!
A rose garden is designed by joining a rectangle and a semicircle, as shown below. The rectangle is 24ft long and 18ft wide. If the gardener wants to build a fence around the garden, how many feet of fence are required?
According to the given rectangle, approximately 112.27 feet of fence are required to enclose the rose garden.
The perimeter of a rectangle is the sum of all its sides. In this case, the rectangle has two sides of length 24 feet and two sides of length 18 feet.
Therefore, the perimeter of the rectangle can be calculated as follows:
Perimeter of rectangle = 2 * (Length + Width)
= 2 * (24 ft + 18 ft) = 2 * 42 ft = 84 ft.
The circumference of a circle can be calculated using the formula:
Circumference = π * Diameter.
Diameter of the Semicircle: The diameter of the semicircle is equal to the width of the rectangle, which is 18 feet.
Circumference of the Semicircle: Using the formula mentioned above:
Circumference = π * 18 ft
≈ 56.5487 ft (rounded to four decimal places).
Perimeter of the Semicircle: As it is a semicircle, we only need half of the circumference:
Perimeter of semicircle = Circumference / 2
≈ 56.5487 ft / 2 ≈ 28.2744 ft (rounded to four decimal places).
Total Fence Length Required: Now, we add the perimeter of the rectangle and the semicircle to find the total length of fence required to enclose the rose garden:
Total fence length = Perimeter of rectangle + Perimeter of semicircle
= 84 ft + 28.2744 ft ≈ 112.2744 ft (rounded to four decimal places).
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Which percent is equivalent to 2.5?
Answer:
250%
Step-by-step explanation:
The value of percentage of a number 2.5 is,
⇒ 250%
We have to given that,
To change a number 2.5 into percent.
Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Now, We can change it as,
⇒ 2.5 × 100%
⇒ 250%
Therefore, The value of percentage of a number 2.5 is,
⇒ 250%
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Simplify the expression:
sqrt(4x^2/3y)
The expression √(4x^2/3y) simplifies to (2x)/√(3y), by taking the square root of the numerator and the denominator separately.
Explanation:To simplify the expression √(4x^2/3y), we will start by simplifying the square root of a fraction, which can be done by taking the square root of the numerator and the denominator separately. We have √(4x^2) = 2x because the square root of 4 is 2 and the square root of x^2 is x. For the denominator, we have √(3y), which cannot be simplified further without additional information about y. Therefore, the simplified form of the expression is (2x)/√(3y).
Remember, if we encounter an expression with a higher root like a fourth root, we would raise the number to the 0.25 power, which is equivalent to taking the square root twice. While simplifying expressions, we may also need to solve for variables in an equation or work with fractional powers, which represent roots, such as x^2 = √x.
Write the inverse of the conditional statement. If a polygon is regular, then it has congruent angles and congruent sides.
A. If a polygon has congruent angles and congruent sides, then it is regular.
B. If a polygon does not have congruent angles and congruent sides, then it is not regular.
C. A polygon has congruent angles and congruent sides, if and only if, it is regular.
D. If a polygon is not regular, then it does not have congruent angles and congruent sides.
Answer:
The answer is option D.
Step-by-step explanation:
A conditional statement is a statement where we can symbolize the given statements in a p and q parts. And this contains if-then clause. It says, if p, then q. Here p is a hypothesis and q is a conclusion. Inverse of a statement means the negative form of the statement in the same order. If not p, then not q.
Given statement is :
If a polygon is regular, then it has congruent angles and congruent sides.
The inverse is :
If a polygon is not regular, then it does not have congruent angles and congruent sides.
A plane is defined by two lines. What's the counterexample
1. Main Show Tank Calculation:
The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally.) What is the volume of the quarter-sphere shaped tank? Round your answer to the nearest whole number.
2. Holding Tank Calculations:
The holding tanks are congruent. Each is in the shape of a cylinder that has been cut in half vertically. The bottom of each tank is a curved surface and the top of the pool is a flat surface. What is the volume of both tanks if the radius of tank #1 is 30 feet and the height of tank #2 is 110 feet?
3. The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be made ⅛ of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank?
4. Using the information from #4, answer the following question by filling in the blank: The volume of the original main show tank is ____% of the mock-up of the tank.
What is the product of (–22.1)(–5.6)?
A)–123.76
B)–27.7
C)27.7
D)123.76
Marlene rides her bicycle to her friend jon's house and returns home by the same route. marlene rides her bike at constant speeds of 9 mph on level ground, 6 mph when going uphill and 18 mph when going downhill. if her total time riding was 1 hours, how far is it to jon's house?
To solve the problem:
Let f = distance one way distance on level ground
Let h = distance rode on the hill
Write a time equation; where Time = distance/speed:
level time + uphill time + downhill time + level time = 1hr
f/9 + h/6 + h/18 + f/9 = 1 hr
Multiply equation by 18 to get rid of the denominators
2f + 3h + h + 2f = 18
4f + 4h = 18
Simplify by dividing this by 4
f + h = 4.5 miles is took her to get to Jon’s house.
A man invested $500 in the stock market. During the first week, he gained $200. During the second week, the market was strong and the man doubled his money. During the third week, stocks fell, and the man lost $650. How much money did the man have at the end of three weeks?