Answer:
(4,6)-(-2,-1)
Step-by-step explanation:
sam rented a truck for one day there was a base fee of 18.99 and there was an additional fee of 79 cents for each mile driven. Sam had to pay 213.33 when he returned the truck how many miles did he drive the truck.
Sam drove approximately 246 miles.
Let's start by subtracting the base fee from the total amount Sam paid to find the additional fee he incurred for the miles driven:
213.33 - 18.99 = 194.34
We know that the additional fee is 79 cents per mile, so we can set up an equation to find the number of miles Sam drove:
194.34 = 0.79x
where x is the number of miles driven.
To solve for x, we can divide both sides of the equation by 0.79:
x = 194.34 / 0.79 ≈ 246
Therefore, Sam drove approximately 246 miles.
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find the product in lowest terms 24/18x2/17x34/3
Answer:
Step-by-step explanation:
To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:
(24/18) * (2/17) * (34/3)
First, we can simplify the fractions by reducing any common factors in the numerators and denominators:
24/18 = (212)/(29) = 12/9 = 4/3
2/17 = 2/17
34/3 = (2*17)/3 = 34/3
Now we can multiply the simplified fractions:
(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153
The product of the given fractions in lowest terms is 272/153.
1. The product of 3/5 • the square root of 7 is a(n) (rational/irrational)
number
Answer:
1.587 or 1.59. It is, therefore, a rational number.
Step-by-step explanation:
Which of the following best describes the correlation coefficient of r = -0.09 ?
Really stuck on this one. Which of the following are ordered pairs for the equation y =x - 4?
(0,-4) (-4,0) (-1,-5)
(0,-4) (-4,0) (1,5)
(0,-4) (4,0) (1,5)
(0,-4) (4,0) (-1,-5)
Answer: Choice D
(0,-4) (4,0) and (-1,-5)
===========================================================
Explanation:
Plug in x = -4
y = x-4
y = -4-4
y = -8
The point (-4,-8) is on the line instead of (-4,0). This rules out choice A and choice B.
Now plug in x = 1
y = x-4
y = 1-4
y = -3
We get (1,-3) instead of (1,5). So we can rule out choice C.
The answer must be choice D.
The graph is below.
cook books have recipes that are designed for 4 people. if a particular recipe in a cook book calls for 3 eggs, how many eggs would you need if you were cooking the recipe for 14 people?
Answer:
10.5
Step-by-step explanation:
If the recipe is designed for 4 people than you would need 6 eggs for 8 people (8 is twice as many as 4 so you need twice as many eggs.) similarly, 14 is 3.5 times as many as 4 (14/4=3.5) so you would need 3x3.5=10.5 eggs.
Not sure how that works but I hope this helped!
Determine the equation (picture).
The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
How to find equation of a line?The equation of a line can be describe as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, lines that a perpendicular follows the rule below:
m₁m₂ = -1
Hence,
y + 6 = 3 / 4 (x - 2)
y + 6 = 3 / 4 x - 6 / 4
y = 3 / 4 x - 6 / 4 - 6
y = 3 / 4 x - 30 / 4
y = 3 / 4 x - 15 / 2
Hence,
3 / 4 m₂ = -1
m₂ = - 4 / 3
Therefore,
slope of the line is - 4 / 3
Let's find the y-intercept of the second line
4x + 5y -20 = 0
5y = -4x + 20
y = -4 / 5 x + 4
y-intercept = 4
Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
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A machine can make 165 granola bars in 3 minutes. At this rate, how many granola bars can the machine make in 7 minutes?
Find the slope-intercept equation of the line that has the given characteristics.
Slope 8 and y-intercept (0,9)
The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.
To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.
Given:
Slope (m) = 8
Y-intercept (0, 9)
We can substitute these values into the slope-intercept form:
y = mx + b
y = 8x + 9
Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).
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2 divide by 3/7 help!!!!!!!!!!!
2 on division by 3/7 yields 14/3.
For the division of two fractions, we need to multiply the first fraction with the reciprocal of the second. Reciprocal of a fraction means interchanging the numerator and denominator ie, the reciprocal of a is 1/a, the reciprocal of p/q = q/p, and so on.
For example, if a/b and c/d are the fractions the a/b ÷ c/d = a/b x d/c =ad/bc.
Implementing the same method to solve this question,
We have 2/1 = 2 as the first and 3/7 as the second fraction. Thus,
2 ÷3/7 =2 x 7/3 = 14/3. So 14/3 is the answer.
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Which of the following must be an irrational number?
A. the sum of two irrational numbers
B. the product of two irrational numbers
C. the sum of a rational number and an irrational number
D. the product of a rational number and an irrational number
Answer:
A.
Step-by-step explanation:
The sum of an irrational number and an irrational number are always irrational.
All the given options give an irrational number.
Given,
A. the sum of two irrational numbers
B. the product of two irrational numbers
C. the sum of a rational number and an irrational number
D. the product of a rational number and an irrational number
We need to find which of the following is an irrational number.
What are an irrational number and a rational number?A rational number is a number that is terminating and recurring.
Example: 3, 12.34 and 31.3333333
An irrational number is a number that is non-terminating and non-recurring.
Example: pi and 1.456839532...
We have,
- the sum of two irrational numbers.
pi + pi = 2pi
It will always be an irrational number.
- the product of two irrational numbers
It is always an irrational number.
pi x pi = pi²
- the sum of a rational number and an irrational number
It is always an irrational number.
12 + pi is an irrational number.
- the product of a rational number and an irrational number
It is always an irrational number.
32 x pi = 32pi is an irrational number.
Thus all the given options give an irrational number.
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URGENT!! NEED HELP!! SOLVE FOR THE COS(
Answer:
Cos z is 28/35
Step-by-step explanation:
Can someone please find x ?
\(\frac{4}{3} x- \frac{1}{3} = x + 7\)
the value of x in the question is 22
How to determine the value of x?The equation is given as
4/3x - 1/3 = x + 7
Multiply through by 3
4x - 1 = 3x + 21
Collect the like terms
4x - 3x = 1 + 21
Evaluate
x = 22
Hence. the value of x in the question is 22
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two column triangle proof.
Answer:
BD ≅ BD Reflexive Property of Congruence
∠ADB ≅ ∠CDB Definition of Angle Bisector
I'm taking Geometry this year actually. Hope this helps!
Answer:
The statement is triangle BAD ≅ triangle BCD. The reason is SSS or side-side-side
3. A telephone calling center performs two types of solicitations: (1) donations and (2) sales. The center wants to determine how much time on average a caller spends on each type of solicitation. The issue is complicated by the fact that some calls get busy signals, some go unanswered, and some last for less than one minute, which is interpreted to mean that the recipient is not interested or
Answer:
hang ups the receiver
Step-by-step explanation:
In this case, there is a difficulty for the call center to determine the average time that each caller spends on each type of request, since there is also the possibility that the recipient will not be interested in the call or hang up when receiving such a call. Therefore, in order to calculate this average in a more real way, the company must statistically monitor this data in relation to each hour of work and how many situations occurred in that hour, how many calls received were answered, how many received a busy signal, how many are not answered and how many calls last less than a minute if the recipient is not interested or hangs up.
Through this data, the company is able to monitor the calls and define telephone service strategies that can retain the customer more if the calls in less than a minute exceed conventional calls.
y=3x-4
y=2x+5
How many solutions does the system
have?
How do you know?
Answer:
One solution, there is only one set of values for x and y. (9,23)
Step-by-step explanation:
Y=3x-4
y=2x+5
replacing for y, put them equal to each other.
3x-4=2x+5
x=9
solve for y by putting x value in either equation.
y=3x-4
y=3(9)-4
y=27-4
y=23
or
y=2x+5
y=2(9)+5
y=18+5
y=23
Steps to find the area of the square
Answer:
add all the right angles then you multiple 7ft x 6.1 ft
4) Students in Ms. Udon
science class planted 13
conifers in different places
around the school yard. They
measured the heights (in inches)
of the conifers one month after
planting them. How many
conifers are greater than 6 1/4
inches tall but less than 8 1/2
inches tall?
Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.
This shows, with dots, the number of times that each of the measures appears in a data set.
For finding the dot plot, we have that:
The shortest conifer measures 6 and 1/4
= 6.25 inches.
The tallest conifer measures 9.5 inches.
The difference is:
9.5 - 6.25 = 3.25 inches.
Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.
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a punch bowl has a capacity of 8 quarts. a recipe fills the bowl 3/4 full.how many quarts does the recipe make
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
An unitary method is what?This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.
Here,
The quantity of punch produced by the recipe is:
If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.
=> 6 pints = 8 * 3/4.
The formula yields 6 quarts of punch as a result.
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
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What is the Recursive relation of 1,1,5,17,71,247…
The recursive relation of the data distribution a(n) = a ( n - 1 ) x n - ( n - 1 ).
How to find the recursive relation ?A sequence of values is defined by a mathematical equation termed as a recursive relation, also known as recursive relation. It derives current value(s) through specified initial value(s) and previous value dependent rule(s). In essence, it generates numeric sequences.
Note that every individual unit can be derived by multiplying the preceding one with a rising integer, and subsequently subtracting a descending integer:
1 x 1 - 0 = 1
1 x 2 - 1 = 1
1 x 3 - 2 = 5
5 x 4 - 3 = 17
17 x 5 - 4 = 71
71 x 6 - 5 = 247
We can deduce the relation of a(n) = a ( n - 1 ) x n - ( n - 1 ).
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y = f(x) = 5x
find f(x) when x = 3
The value of f(x) when x is 3 is 15
What is function?A Function in mathematics is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
For example, if f(x) = x² +2x +5 , the value of f(x) when x is 2 is calculated as;
f(x) = 2² + 2(2) + 5
f(x) = 4 +4+5
= 13
This done by substituting the given value of x into the expression.
Similarly , if f(x) = 5x, the value of f(x) when x is 3 is calculated as;
f(x) = 5(3)
f(x) = 15
therefore the value of f(x) when x is 3 is 15
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The length of a rectangular field is represented by the expression 14x-3x^2+2y . The width of the field is represented by the expression 5x-7x^2+7y . How much greater is the length of the field than the width?
The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)
1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)
2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).
3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).
4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)
5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)
6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)
7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)
8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)
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After she pays her bills each month, Lana has $300 left. Based on the graph below, which is the best estimate of how much she will spend on movies and eating out? $180 $75 $160 $200 $90 Discretionary Spending 16- to 22-Year-Olds Shopping for Pleasure 34% Hobbies 12% Eating Out 30% Movies 24%.
The best estimate of how much she will spend on movies and eating out is given as follows:
$162.
How to obtain the best estimate?The best estimate of how much she will spend on movies and eating out is obtained applying the proportions in the context of the problem.
The percentages associated with movies and eating out are given as follows:
Eating out: 30%.Movies: 24%.The amount that she has left is given as follows:
$300.
Hence the best estimate of how much she will spend on movies and eating out is obtained as follows:
(0.3 + 0.24) x 300 = 0.54 x 300 = $162.
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Question 7:
In the morning, the temperature starts out around 50°F. As
the day goes on, the temperature rises first slowly, then more
quickly. It stays constant for an hour before dropping slowly.
Select the graph that best represents this description.
10 AM
10 AM
127
Time
Time
BE
10 AM
12
4
Time
Time
Answer:Graph A.
Step-by-step explanation:
Graph A.
Step-by-step explanation:
We will try to understand the graph plotted for the change in temperature for whole day.
In the morning, temperature starts out around 50°F. As the day goes on, the temperature rises first slowly- Slope of the first line will be less.
Then temperature rises more quickly - Slope of the second line will be more than first line.
It stays constant for an hour- third line will be parallel to the x-axis for one hour gap.
Then the temperature dropped down slowly - Last line of the graph will go down.
By the understanding we made for the graph we find graph A is the answer.
2. Kasie lives in Seattle. She can see her house from the observation deck of the Seattle Space Needle. The
observation deck is 520 feet above the ground and the angle of depression from the deck to her house
is 70. What is the direct distance from the base of the Space Needle to Kasie's house? Round your
answer to the nearest foot.
Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.
What is angle of depression?The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.
Given,
Height of the observation deck AB = 520 feet
Angle of depression = 70°
Distance of the Space needle base to house BC = ?
By the figure,
tan70° = AB/BC
BC = tan70°(AB)
BC = 2.7475(520)
BC = 1428.7 feet
Distance of the Space needle base to house to nearest foot = 1429 feet
Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.
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Drag each tile to the correct box.
A scientist is studying the growth rates of three samples of bacteria in different conditions. The following three functions represent the number of bacteria in the three samples after x hours.
Sample A Sample B Sample C
x g(x)
0 60
1 120
2 240
3 480
Sample C starts
with 600 bacteria and
increases at a
rate of 20%.
f(x)=200(3/2)x^
Order the samples by their average growth rate over the interval [1, 3], from least to greatest.
Sample C
Sample A
Sample B
pleaseeee help thank youuu
we can see that the growth rate increases as x increases. However, since we are only interested in the average growth rate over the interval [1, 3], we can calculate it using the formula mentioned above.
How to solve the question?
To determine the average growth rate of each sample over the interval [1, 3], we need to calculate the ratio of the change in bacteria population to the change in time for each sample, and then take the average of these ratios over the given interval.
For Sample A, the change in bacteria population over the interval [1, 3] is 480 - 120 = 360, and the change in time is 3 - 1 = 2. So the average growth rate of Sample A over this interval is 360/2 = 180 bacteria per hour.
For Sample B, the change in bacteria population over the interval [1, 3] is 480 - 240 = 240, and the change in time is 3 - 1 = 2. So the average growth rate of Sample B over this interval is 240/2 = 120 bacteria per hour.
For Sample C, the change in bacteria population over the interval [1, 3] is (1.2600)(1.2*1.2 - 1) = 345.6, and the change in time is 3 - 1 = 2. So the average growth rate of Sample C over this interval is 345.6/2 = 172.8 bacteria per hour.
For Sample A, the growth rate is the highest, followed by Sample C and then Sample B. Therefore, the order of the samples by their average growth rate over the interval [1, 3] from least to greatest is Sample C, Sample A, and Sample B.
It's important to note that the growth rate of Sample C is not constant but increases over time due to the 20% increase in the initial bacteria population. The exponential function f(x) = 200(3/2)in power x represents this growth, and we can see that the growth rate increases as x increases. However, since we are only interested in the average growth rate over the interval [1, 3], we can calculate it using the formula mentioned above.
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Your complete question is :-A scientist is studying the growth rates of three samples of bacteria in different conditions. The following three functions represent the number of bacteria in the three samples after x hours.
Sample A Sample B Sample C
x g(x)
0 60
1 120
2 240
3 480
Brian spends
1
4
of his wages on rent and
1
3
on food. If he makes £480 per week, how much money does he have left?
Answer:
£165
Hope I helped
Answer:
$200
Step-by-step explanation:
Plz help me well mark brainliest if correct.....????????
Answer:
Step-by-step explanation:
31 , b/c it's the most common
c 32
Step-by-step explanation:
plz follow me wenelyn andoyo duay sana makatulong ako
What is the standard deviation of the data set {2,1,1,2,2,3}?
Answer:
0.687
Step-by-step explanation:
step 1: find mean of 6 data values (should be 11/6)
step 2: find the difference of the mean and each of the six data values
step 3: square each of those six differences
step 4: find the mean of the squared values (should be 102/216)
step 5: take the square root of 102/216
Answer:
0.6
Step-by-step explanation:
i just took the test
Write the multiplicative comparison statement as an equation.
18 is 3 times as many as 6.
Answer:
18 = 3 × 6
Step-by-step explanation: