Answer:
a) The slope of the line is [tex]-\frac{12}{5}[/tex]
b) The slope of the line is 1
Step-by-step explanation:
The rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]
a)
∵ The line passes through points (-3, 4) and (2, -8)
∴ x1 = -3 and y1 = 4
∴ x2 = 2 and y2 = -8
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{-8-4}{2--3}[/tex] = [tex]\frac{-12}{2+3}[/tex] = [tex]\frac{-12}{5}[/tex]
∴ m = [tex]-\frac{12}{5}[/tex]
∴ The slope of the line is [tex]-\frac{12}{5}[/tex]
b)
∵ The line passes through points (5, -3) and (1, -7)
∴ x1 = 5 and y1 = -3
∴ x2 = 1 and y2 = -7
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{-7--3}{1-5}[/tex] = [tex]\frac{-7+3}{-4}[/tex] = [tex]\frac{-4}{-4}[/tex]
∴ m = 1
∴ The slope of the line is 1
Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarized in the
GFDT below.
Lengths (mm)
Frequency
220 - 229
1
230 239
16
240 - 249
71
250 - 259
108
260 - 269
83
270 - 279
18
280 289
3
What is the lower class boundary for the first class?
class boundary =
Answer:
330-339
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67
Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $65 to come to his house and $55 for every hour they work. If the plumber charges Jerald a total of $296, how many hours did the plumber work? Write and solve an equation to determine the number of hours worked by the plumber.
A 55x − 65 = 296; x = 6.6 hours
B 55x + 65 = 296; x = 4.2 hours
C 65x − 55 = 296; x = 5.4 hours
D 65x + 55 = 296; x = 3.7 hours
Answer:
B 55x + 65 = 296; x = 4.2 hours
Step-by-step explanation:
The equation to determine the number of hours worked by the plumber is 65 + 55x = 296.
The number of hours worked by the plumber is 4.2
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Charges for home visit = $65
Charges for each hour = $55
Let the number of hours = x
Total charges = $296
We can make an equation:
65 + 55x = 296
The number of hours can be calculated.
65 + 55x = 296
Subtracting 65 on both sides.
65 + 55x - 65 = 296 - 65
55x = 231
Dividing both sides by 55.
x = 231 / 55
x = 4.2
Thus,
The equation to determine the number of hours worked by the plumber is 65 + 55x = 296.
The number of hours worked by the plumber is 4.2
Option B is the correct answer.
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25 POINTS PLEASE HELP
enter the expression −2c⃗ 6d⃗ in the answer box using the notation just described. express your answer in terms of c⃗ and d⃗ . use the vector button under the templates menu in the answer box to create vectors.
The expression [tex]-2\vec C+6\vec D[/tex] in the ordered pair notation is (16,-16).
The vector components of a vector are represented as the ordered pair of its x and y components.
For example, if a vector has x - component 'a' and y- component 'b' , then the ordered pair notation for the vector is (a, b), where the vector is [tex]a \vec i+b \vec j[/tex].
Now the vector C has its x- component = -2
y- component of C = -1
Therefore, ordered pair notation of C = (-2, -1)
x- component of D = 2
y-component of D = -3
Therefore, ordered pair notation of D = (2,-3)
So the expression [tex]-2\vec C+6\vec D[/tex] = -2 (-2,-1) +6 (2,-3) = (4,2) + (12, -18)
= (16, -16) in the ordered pair notation.
That is, the vector [tex]\bold {-2\vec C+6\vec D}[/tex] is a vector with x-component 16 and y-component -16.
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is this a function or not explain why
Solomon says the number 0 belongs only the set of rational numbers. Explain his error.
0 belongs to the set of rational numbers and also belongs to the set of whole numbers and a set of integers.
What is a rational number?A rational number is a number that can be written in the form of P/Q where Q is not equal to zero.
We have,
0 belongs only to the set of rational numbers.
We see that 0 belongs to the set of rational numbers since,
0 / n = 0 where n can be any number.
But,
0 belongs to the set of integers.
0 belongs to the set of whole numbers.
Thus 0 belongs to the set of rational numbers and also belongs to the set of whole numbers and set of integers.
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Subtract -2x^2-2x-7−2x
2
−2x−7 from 2x^{2}+72x
2
+7.
Answer:
-78x² - 4x^-7 + 7
Step-by-step explanation:
we compute using mathematical rules
-2x^2- 2x^-7 -2x^2-2x^-7 - (2x^2 +72x^2+7)
-4x^2-4x^-7-2x^2-72x^2-7
= -78x² - 4x^-7 + 7
The subtraction of the polynomial - 2x² - 2x - 7 from 2x² + 7 will be 4x² + 2x + 14.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expressions are given below.
- 2x² - 2x - 7 and 2x² + 7
Subtract - 2x² - 2x - 7 from 2x² + 7, then we have
⇒ (2x² + 7) - (- 2x² - 2x - 7)
⇒ 2x² + 7 + 2x² + 2x + 7
⇒ 4x² + 2x + 14
The subtraction of the polynomial - 2x² - 2x - 7 from 2x² + 7 will be 4x² + 2x + 14.
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I will AWard Brainlist!! Please Help its A Math Problem !! Find the length of P.
p=3.5
use the sine law
sin 90/7 = sin 30/p
then cross multiply to solve
What kind of transformation is illustrated in this figure?
dilation
translation
reflection
rotation
Answer:
I would say it would be a translation transformation.
Step-by-step explanation:
Why would I say it would translation? Well, for starters; translation is the only one that would make sense (though, reflection could be the second best answer; but not the correct answer [explanation later]). Dilation doesn't make sense because it's not scaling from either bigger to smaller; from the picture. Translation makes sense because it goes from a different location, keeping its original state. As I said at the beginning, reflection could be the second best answer if it weren't for its mirroring action (it's reversed); making it not an available option for this question. Lastly, rotation definitely could not be correct because it's not rotating at all.
Therefore, translation would be the most viable option in this question.
Help If u can please show ur work thank you
Answer:
Step-by-step explanation:
A cone has a volume of 98 cm3.
The radius of the cone is 5.13 cm.
Work out an estimate for the height of the cone.
Answer:
h=3.6cm
Step-by-step explanation:
v=1/3πr^2h
input your values
98=1/3×22/7×5.13×5.13×h
98=(22*5.13*5.13*h)/21
cross multiply
98*21=22*5.13*5.13*h
2058=22*5.13*5.13*h/22*5.13*5.13
3.6cm=h
please mark brainliest, hope it helps
consists of the following steps: conceptualize a process or problem to be studied, collect research data, analyze the data, and draw conclusions.
The scientific method consists of the following steps: conceptualize a process or problem to be studied, collect research data, analyze the data, and draw conclusions.
Which of the following study design categories focuses on observing and documenting behavior?
Several various kinds of non-experimental studies in which behavior is routinely observed and documented are collectively referred to as observational research. A variable or combination of variables must be described in order to be the focus of observational research.What are some examples of biological processes that have an impact on development?
An individual's physical makeup can alter as a result of biological processes. and several biological processes that have an impact on development include weight gain, changes in motor skills, puberty's hormonal changes, and cardiovascular deterioration.Learn more about documenting behavior
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Laura invests £1290 in a bank account.
The account gathers compound interest at a rate of
0.5% per month.
How much money will be in the account after 8 months?
Give your answer in pounds to the nearest 1p.
Answer: £1342.5
Step-by-step explanation:
y = a(1 + R)^n
y = 1290(1 + 0.005)^8
y ≈ 1342.51
∴ £1342.5
State what additional information is required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate
Answer:
E
Step-by-step explanation:
You already know that TS = AB and TU = BC because it shows that in the images using the tick marks. SSS Triangle Congruence Postulate is when two triangles are congruent to each other because all the corresponding side lengths are equal to each other. So we already have two side lengths that are equal to each other, and, in order for SSS to be true, we need all 3 side lengths to be equal to each other. The only two side lengths not equal to each other yet are US and CA so if those were to be equal to each other, all corresponding side lengths would be equal to each other.
Let me know if you have any questions.
give an example of 2 inequalities that are equivalent inequalities
-4x < or = to -1 and x > or = 1/4
Explation
-4x/4 < or = to -1/-4 x > or = to 1/4Kindly help for number 57 :)
Answer:
.....................
f
pe
GO Practice
Spiral Review Extra Practice
2. The table shows the time it took for Javier to
complete one repetition of different
exercises during his Monday workout.
.
Exercise
Squats 0.08
Crunches 0.03
Lunges 0.04
Curts 0.05
Javier likes to work out for 1 hour. If he
doesn't use the full hour on his exercises, he
runs on a treadmill for the remaining time. If
he completed 3 repetitions of each exercise,
how long did he run on the treadmill on
Monday? I need explication step bu step
Using the addition of all the exercise, Javier runs on the treadmill on Monday is 0.40 hours.
What is addition?Addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
Given that Javier completed 3 repetitions of each exercise. thus by multiplication time taken by Javier to complete each exercise is as follows;
Squats = 0.8 x 3= 0.24 hour
Crunches = 0.03 x 3 = 0.09 hour
Lunges = 0.04 x 3 = 0.12 hour
curls = 0.05 x 3 = 0.15 hour
we can calculate the total time taken to complete all exercises as;
0.24 + 0.09 + 0.12 + 0.15
= 0.60 hour
Now the time took on treadmill by Javier;
1 hour - 0.60 hour
0.40 hour
Hence, If he completed 3 repetitions of each exercise, then he run 0.40 hours on the treadmill on Monday.
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Two hundred people hiked around the largest lake. About how many miles did they travel? Use the standard algorithm to solve. The largest lake is 15.33
Using proportions, it is found that they traveled a total of 3066 miles around the lake.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships.
One example of application of proportions is for unit rate problems, in which we find the unit rate for a single person, and then the total amount for a number n of people is given by n multiplied by the unit rate.
For this problem, we have that:
The largest lake has a distance of 15.33 miles.200 people hiked around the lake.Hence the total distance traveled by all these people is given as follows:
200 x 15.33 = 3066 miles.
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Nora left her house and drove to the store. She stopped and Went inside . From there, she drove in the same direction until she got to the bank. She stopped it and went inside the bank. Then she drove home. The graph below shows the number of blocks away from home Nora in X minutes after after she left her house, until she got back home. How long was Nora in the bank
What is the greatest common factor of 44 and 22?
Answer:
The greatest common factor of 44 and 22 is 22.
Step-by-step explanation:
First, you should list all the factors of 44 and 22. For 44, the factors are: 1, 2, 4, 11, 22 and 44
For 22, the factors are: 1, 2, 11 and 22
The greatest common factor is 22.
Answer: 22
Step-by-step explanation:
In order to find GCF of 44 and 22, take the prime factorization of the two numbers
22: 11*2
44: 11*4=11*2*2
Notice they both have 11*2 in their prime factorization.
11*2=22
GCF of 44 and 22 is 22
I WILL GIVE BRAINLIEST!!!
Please help me.
Translate all word problems into equations.
You only need to give equation+answer for number 7 and 9.
7. Between noon and midnight, the temperature
dropped 20°F. If the temperature was -8°F at
midnight, what was the temperature at noon?
8. If a strawberry pie is divided into 6 equal slices, each
slice has 240 calories. How many calories are in the
whole pie?
9. A chest was resting on the ocean floor 1000 ft below
the surface. It was lifted to the deck of a ship 8 ft
above the surface. How far was the chest lifted?
10. When all the kids who tried out for Little League
were divided into teams of 20 players, there were
exactly 8 teams. How many kids tried out?
Step-by-step explanation: They are word problems into equations. Have a good night. you will get them right.
7.) x - 20 = -8
8.) x/6 = 240
9.) - 1000 + x = 8
10.) x/20 = 8
there are 8 fluid ounces in 1 cup if you double the amount of fluid ounces will the amount of cups also double?
Yes , if we double the no. of fluid ounces then , the amount of cups will double also.
It is given that there are 8 fluid ounces in 1 cup.
We have to check does the amount of cups gets doubled , if we double the amount of fluid ounces.
What do you mean by unitary methods ?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
As per the question ;
In 1 cup , no. of fluid ounces = 8
So ;
If we double , the no. of fluid ounces , i.e.,
= 8 × 2
= 16
Then ;
The no. of cup will be equal to
= 16 ÷ 8
= 2 cups
Thus , if we double the no. of fluid ounces then , the amount of cups will double also.
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The graph above displays the total cost C, in dollars, of renting a boat for h hours.
What does the C-intercept represent in the graph?
Based on the graph which displays the total cost C, in dollars, of renting a boat for h hours, the c-intercept represents A. The initial cost of renting the boat.
What is the purpose of the y-intercept?The y-intercept is a value that represents the point on a chart where the line intersects with the y-axis. In the above chart, the y-intercept is 5 dollars.
The purpose of the y-intercept is to tell us the initial cost of renting the boat in this instance, before the boat has been used for any number of hours. This is because at the y-intercept, x would be 0 which means that the number of hours would be zero.
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10 ≤ 3x + 4 < 25
How do I solve
Answer: 2 ≤ x < 7
Step-by-step explanation:
10 ≤ 3x + 4 < 25 ==> solve for x, so work to isolate the x variable
10-4 ≤ 3x + 4-4 < 25-4
6 ≤ 3x < 21
6/3 ≤ 3x/3 < 21/3
2 ≤ x < 7
Answer:
I believe it's [2, 7). It has to be solve differently.
Find the distance between
the two points rounding to the nearest tenth (if necessary).
(8, 7) and (1, -2)
Answer: 11.4
Step-by-step explanation:
question 10(multiple choice worth 1 points) (01.01 lc) what is the rational number equivalent to 1 point 28 with a bar over 28? 1 and 6 over 97 1 and 28 over 99 1 and 8 over 33 1 and 5 over 16
The rational number equivalent to 1.28 bar over 28 is 1and 28 over 99 that is option 2) is correct
The number that we have been given is 1.28 bar over 28 that is 28 is repeating.
Now we have to convert it into simple fraction.
For we will first denote,
X = 1.28 bar over 28
Multiplying both side by 100 as two digits are being repeated we get,
100X = 128.2828…
Now subtracting it from X on both side s and putting the value of X we get
100X – X = 128.28… - 1.2828….
99X = 127
X =127/99
X = 1 28/99
Hence the rational number equivalent to 1.28 bar over 28 is 1and 28 over 99 that is option 2) is correct
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find the length s of the arc that subtends a central angle of measure 6 rad in a circle of radius 4 cm.
The length of the arc for the given circle is 24cm.
What is the length of an arc of a circle?The Arc length refers to the distance between two points on a section of a curve or a circle.Length of the arc (L) = r Θ, where r = radius of the curve, Θ = angle subtended by the arc at the centre of the curve in radians.Given:
Angle = 6 radians = ΘRadius of circle = 4cm = rTo find: Length of the arc.
Finding:
On substituting the values of r and Θ in the formula of length of the arc, we get:
L = 4(6) = 24 cm.
Hence, the length of the arc for the given circle is 24cm.
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a box has four cards numbered 1, 2, 3, and 4. greg will toss a coin once and record the toss as heads (h) or tails (t). then he will randomly pick a card from the box and record the number chosen. give the sample space describing all possible outcomes. then give all of the outcomes for the event that the number chosen is 3. use the format h1 to mean that the coin toss is heads and the number chosen is 1. if there is more than one element in the set, separate them with commas.
Sample space when a coin is tossed is {H, T}
Sample space for drawing a card is {1, 2, 3, 4}
Sample space = {H1, H2, H3, H4, T1, T2, T3, T4}
Event that the coin toss is tails = {H1, H2, H3, H4}
The sample space describing all possible outcomes are (H1, H2, H3, H4, T1, T2, T3, T4).
What do you mean by fair coin?A series of independent Bernoulli trials with a chance of 1/2 on each trial is referred to as a fair coin in probability theory and statistics. A biased or unjust coin is one for which the probability is not equal to one-half.
The presumption that a coin is fair is sometimes made by making reference to an ideal coin in theoretical investigations. When John Edmund Kerrich experimented with flipping coins, he discovered that 679 times out of 1000, a coin fashioned of a wooden disc the size of a crown that was coated with lead on one side landed heads (wooden side up).
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A chemistry experiment calls for a 30% solution of copper sulfate. Kendra has 40 milliliters of 25% solution. How many milliliters of 60% solution should she add to make a 30% solution?
Answer:
x = 20/3
you will need 20/3 of the 60% solution
Step-by-step explanation:
0.25(40) + 0.60x = 0.30(x + 40)
10 + 0.60x = 0.30x + 12
0.30x = 2
Not sure if it's right
rewrite the equation to 2y - 4x = 10 in function notation where f (x) = y
Answer:
I think it's, Y = 2x + 5
Step-by-step explanation:
* You move the -4x to the right side.
* Divide 2 from both sides
And you will end up with this answer.
F(x) means the equation
and we are solving for Y here.