Answer:
5
Step-by-step explanation:
In y=mx+b, y is the intercept with the y axis.
Answer:
(0,5)
Step-by-step explanation:
It cost the Wilson children $55 to make lemonade. How many glasses must they sell at 75¢ each to make a profit?
Answer:
Step-by-step explanation: x=number of glasses sold
55<0.75x
55/0.75<x
x>73 ⅓
they have to sell at least 74
What is the value of the 7 in the number 0.873?
Write your answer as a fraction.
Answer: 7/100
Step-by-step explanation:
In this question, ignore the 8 and the 3 and focus on the 7. Isolate it and you will get 0.07. 0.07 in fraction from is 7/100.
The place value of 7 in the decimal number 0.873 is in the hundredth place thus it will be 7/100 or 0.07.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Given the decimal,
0.873
8 → Tenth place (Fraction value 8/10)
7 → Hundredth place(Fraction value 7/100)
3 → Thousandth place (Fraction value 3/1000)
Since 7 is at hundredth place thus it will be 7/100.
Hence "The place value of 7 in the decimal number 0.873 is in the hundredth place thus it will be 7/100 or 0.07".
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1. Determine a rule that could be used to explain how the volume of a
Cylinder or cone is affected when the radius is multiplied by a positive
number.
Answer:
See explanation
Step-by-step explanation:
Solution:-
- We will use the basic formulas for calculating the volumes of two solid bodies.
- The volume of a cylinder ( V_l ) is represented by:
\(V_c = \pi *r^2*h\)
- Similarly, the volume of cone ( V_c ) is represented by:
\(V_c = \frac{1}{3}*\pi *r^2 * h\)
Where,
r : The radius of cylinder / radius of circular base of the cone
h : The height of the cylinder / cone
- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.
- We will represent a proportionality of Volume ( V ) with respect to ( r ):
\(V = C*r^2\)
Where,
C: The constant of proportionality
- Hence the proportional relation is expressed as:
V∝ r^2
- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:
\(V = C*(a*r)^2\\\\V = C*a^2*r^2\)
- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).
- Hence, the relations for each of the two bodies becomes:
\(V = (\frac{1}{3} \pi *r^2*h)*a^2\)
&
\(V = ( \pi *r^2*h)*a^2\)
on a test of 80 problems, Bill got 75% of the problema correct.
How many did he get correct?
Answer:
60 problems
Step-by-step explanation:
Find how many he got correct by multiplying 80 by 0.75:
80(0.75)
= 60
So, Bill got 60 problems correct
Determine the value of x in the figure below:
x = 3
x = 1.7
x = 5
x = 4
Hello!
x = the intersection
5x + 3 = 2x + 15
5x - 2x = 15 - 3
3x = 12
x = 12/3
x = 4
Answer: X=4
Step-by-step explanation: 5x + 3 and 2x + 15 are congruent. sub tract 3 from each side, 5x and 2x + 12 are equal. Subtract 2x from each side, 3x and 12 are equal. Divide each side by 3 and get X=4
Write the explicit formula for the arithmetic sequence below. 14, 9, 4, -1, ...
Step-by-step explanation:
To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5
Sphenathi stated that the distance from Bloemfontein to upington is 16.3 show all calculations whether his claim is correct
The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.
To determine the distance between Bloemfontein and Upington, we used the Haversine formula, which computes the shortest distance between two points on the surface of a sphere. We first begin by finding the latitude and longitude of the two cities.Bloemfontein is located at -29.1211° latitude and 26.2140° longitude.Upington is located at -28.4478° latitude and 21.2561° longitude.Using the Haversine formula, we can determine that the distance between the two cities is about 582 kilometers.Sphenathi's statement that the distance from Bloemfontein to Upington is 16.3 kilometers is incorrect. Perhaps they mistakenly calculated the distance between two points within the cities. They could also have made a typographical mistake while writing their statement. Therefore, the statement is false, and the actual distance between Bloemfontein and Upington is 582 kilometers.For such more question on longitude
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Beatrice wants to buy a new car. The most important factor in her decision is cost. Choose two variables that would be most important for Beatrice to study to determine which car she should buy, A color B. length C. retail price D, parking fees E. fuel efficiency.
Answer: C and E
Step-by-step explanation:
if f(x)=2x2+5 then f(-3)=
The function f ( x ) = 2 x² + 5 will have the value 23 for f (- 3).
We are given the function:
f ( x ) = 2 x² + 5
We need to find the value of f ( -3 ).
We will do this by substituting the value of x = - 3 in the function and then evaluating the expression.
Putting x = -3 in the function, we get that:
f ( x = - 3 ) = 2 (- 3)² + 5
Solving the square, we get that:
f (- 3) = 2 ( 9 ) + 5
Simplifying the expression, we get that:
f (- 3) = 18 + 5
f (- 3) = 23
Therefore, we get that, the function f ( x ) = 2 x² + 5 will have the value 23 for f (- 3).
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(2x - 5) (x^2 + x - 2) =
What is the purpose of a Vertical Line Test and how is the test conducted?
Answer:
Step-by-step explanation:
The local government is concerned with the population of a new predatory fish, the tiger gar, which was first observed in Lake Richmond about 5 years ago. The following table shows the approximate number of tiger gars living in the lake since 2016:
2016 2017 2018 2019 2020 2021
322 399 507 618 785 975
Using the TI-nspire calculator, write an exponential function that models the population of tiger gar in the lake. (Round all numbers to the nearest hundredth.)
y=blank(blank)x
The exponential function that models the population of tiger gar in the lake is given as follows:
\(y = 322.63(1.25)^x\)
How to define an exponential function?An exponential function has the definition presented as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.Considering x as the number of years since 2016, the points are given as follows:
(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).
Inserting these points into an exponential regression calculator, the equation is given as follows:
\(y = 322.63(1.25)^x\)
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Simplify (−3)4 and −34. Show all the work
Answer:
-12
Step-by-step explanation:
(-3)4
-3*4
-12
Elaborate ur question about - 34
The data below shows the money Paritosh spends on a weekend. What will be the central angles of each of these categories?with the numbers 40 100 50 50
The central angles for the categories with the numbers 40, 100, 50, and 50 are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.
To calculate the central angles for each category based on the given numbers 40, 100, 50, and 50, we need to find the proportion of each value to the total sum of all the values. Let's proceed with the following steps:
Step 1: Calculate the total sum of the given numbers: 40 + 100 + 50 + 50 = 240.
Step 2: Find the proportion of each value by dividing it by the total sum and multiplying it by 360 (since a full circle has 360 degrees).
Central angle for the first category: (40/240) * 360 = 60 degrees.
Central angle for the second category: (100/240) * 360 = 150 degrees.
Central angle for the third category: (50/240) * 360 = 75 degrees.
Central angle for the fourth category: (50/240) * 360 = 75 degrees.
The central angles for each category based on the given numbers are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.
These central angles represent the relative proportions of each category's spending in relation to the total spending. They can be used to create a pie chart or visualize the distribution of expenses in a circular graph.
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Note the search engine cannot find the complete question
Complete the table for the given rule. Rule: y = x + 3. X ? Y 4. X ? Y 8. X ? Y 5
Answer:
X 1 for Y 4
X 5 for Y 8
X 2 for Y 5
Step-by-step explanation:
We can substitute the values of Y in the formula and then subtract three from both sides.
Mario was asked by his teacher to express 33% in ratio, fraction, and decimal. Which of the following table do you think is an equivalent value of 33% expressed in a ratio, fraction, and decimal? Compute and solve a problem of Mario
The equivalent value of 33% expressed in a ratio, fraction, and decimal is 33 : 100, 33/100 and 0.33 respectively
Ratio, Fraction and decimal33%
In ratio:
33%
= 33 / 100
= 33 : 100
In fraction:
33%
= 33/100
In decimal:
33%
= 33/100
= 0.33
Therefore, the equivalent value of 33% expressed in a ratio, fraction, and decimal is 33 : 100, 33/100 and 0.33 respectively
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Let H: X – Y be a mapping. The set Y is called the
Let H: X – Y be a mapping. The set Y is called the codomain of the mapping H: X – Y.
In mathematics, a mapping or function H: X – Y is a relation between two sets, where the set X is called the domain and the set Y is called the codomain.
The mapping H assigns each element in X to a unique element in Y. The codomain of the mapping H is the set Y, which contains all the possible outputs that can be obtained from the mapping.
It represents the range of the mapping H and provides a reference set for the outputs of the function. The actual range of the function may be smaller than the codomain, depending on the elements in X that are mapped to.
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A boat travels upstream from Point A to Point B in 10 hours. The return trip takes only 5 hours because the boat travels 5 miles per hour faster downstream due to the current. How far does the boat travel upstream?
The boat travels (__) miles upstream.
The boat's speed is calculated to be 50 miles per hour upstream when a boat travels upstream from Point A to Point B in 10 hours.
Evaluating upstream :In most cases, the mathematical expression for the speed traveled upstream is as :
10x = 5(x + 5)
10x = 5 x+ 25
10x - 5 x = 25
5x = 25
x = 25 ÷ 5
x = 5
In conclusion, the boat's upstream travel distance can be estimated using the following equation.
d = 10 x
d = 10 × 5
d= 50 miles per hour
In the event that the boat is streaming the other way to the stream, it is called upstream. Upstream refers to the direction in which the river's flow originates. In this instance, the boat's net speed is referred to as the upstream speed.
Downstream: The boat is said to be downstream if it is moving in the same direction as the stream.
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Pls and thank you, take care, God bless you:))
Answer:
No movement
Step-by-step explanation:
Help me please. I don't know what to do or where to start.
The number of cars in the parking lot at 5 pm is 106.1.
The formula for the number of cars in the parking lot n hours after 3 pm is:
\(A_{n} = 92(1.09)^n\)
where:
\(A_{n}\) is the number of cars in the parking lot n hours after 3 pm
92 is the initial number of cars in the parking lot
1.09 is the growth rate of the number of cars in the parking lot
n is the number of hours after 3 pm
For example, if it is 5 pm, then n = 2. Plugging this value into the formula, we get:
\(A_{5} = 92(1.09)^2\)
\(A_{5} = 106.1\)
Therefore, the number of cars in the parking lot at 5 pm is 106.1.
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Write y = 12x + 24 in standard form.
Answer:
12x-y= -24
Step-by-step explanation:
plz mark me brainliest
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9
Step-by-step explanation:
The domain of the function is all real numbers less than or equal to −2 - FALSE;
The domain of the function is all real numbers less than or equal to 9 - FALSE;
The range of the function is all real numbers less than or equal to −2 - FALSE;
The range of the function is all real numbers less than or equal to 9 - TRUE.
PS. the domain is (-∝;+∝); the range is (-∝;9].
Explain with steps please and thank you! :)
Using the information in the given diagram, the value of the missing angle is: m∠1 = 75°
How to find the missing angle?The transverse line theorem states that If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.
Now, when we draw a horizontal line parallel to lines a and b and directly cutting across the vertex of angle 1, we can see that angle 1 will be composed of two angles.
Now, for the transverse line theorem we can say that:
Angle 1 will be composed of two angles namely:
48 degrees and (180 - 153) degrees.
Thus:
m∠1 = 48° + 27°
m∠1 = 75°
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solve pls brainliest
Answer:
.166 repeating
Step-by-step explanation:
you must divide the numerator by the denominator to get your final answer
Answer: 0.1666666 (6 has the bar on top of it)
What is
12а + 7x - За – 2х
Answer:
=12a-3a+7x-2x
=9a+5x
This is the answer.
Hope it helps you..
Answer
=12a+7x-3a-2x
=9a+7x-2x
=9a+5x
Explanation
This is the ans. hope you like it....
Express (x + 3)² as a trinomial in standard
Answer:
x² + 6x + 9
Step-by-step explanation:
(x + 3)²
= (x + 3)(x + 3)
each term in the second factor is multiplied by each term in the first factor , that is
x(x + 3) + 3(x + 3) ← distribute parenthesis
= x² + 3x + 3x + 9 ← collect like terms
= x² + 6x + 9 ← in standard form
System of equations
Y=9+3z
y=39-3z
What is the probability that either event will occur? 17 A 29 B 14 P(A or B)
The probability that either event A or B will occur is 43/60
Getting probability value :Using the parameters given
n(A) = 29
n(B) = 14
Total number of events = 29+17+14 = 60
The probability of each event :
P(A) = 29/60
P(B) = 14/60
P(A or B ) = P(A) + P(B)
P(A or B ) = 29/60 + 14/60
P(A or B ) = 43/60
Therefore, the probability of A or B is 43/60
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Using digits 1to 9 fill in the boxes once write largest and smallest absolute value. Then find the decimal equivalent.
The decimal equivalent of the largest Absolute value, 987654321, is 987,654,321. the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.
The largest and smallest absolute values using the digits 1 to 9, we need to arrange them in a way that maximizes or minimizes the resulting number. Let's consider the boxes as placeholders for the digits.
To determine the largest absolute value:
We place the digit 9 in the leftmost box, as it is the largest digit among 1 to 9. Then we arrange the remaining digits, 8, 7, 6, 5, 4, 3, 2, and 1, from largest to smallest in the remaining boxes. This gives us the number 987654321, which is the largest possible number using the given digits. Therefore, the largest absolute value is 987654321.
To determine the smallest absolute value:
We place the digit 1 in the leftmost box, as it is the smallest digit among 1 to 9. Then we arrange the remaining digits, 2, 3, 4, 5, 6, 7, 8, and 9, from smallest to largest in the remaining boxes. This gives us the number 123456789, which is the smallest possible number using the given digits. Therefore, the smallest absolute value is 123456789.
To find the decimal equivalent of these numbers, we simply read the digits from left to right. The decimal equivalent of the largest absolute value, 987654321, is 987,654,321. The decimal equivalent of the smallest absolute value, 123456789, is 123,456,789.
Thus, the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.
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consider the continuous random variable x, which has a uniform distribution over the interval from 40 to 44. the variance of x is approximately . a. 46 b. 1.333 c. 1.155 d. 0.333
Consider the continuous random variable x that has a uniform distribution over the interval from 40 to 44. The variance of 'x' is approximately C: 1.155.
The variance of a continuous uniform distribution over the interval [a, b] is determined by the formula given as follows:
Var(x) = (b-a)^2 / 12
For the given distribution, a = 40 and b = 44, so the variance is calculated by putting these values into the above formula:
Var(x) = (44 - 40)^2 / 12 = 1.155
Therefore, the variance of 'x' is approximately 1.155
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