The rate is given by the slope which is defined by:
\(m=\frac{y_2-y_1}{x_2-x_1}\)The first line passes throught the points (0,0) and (21,1); hence its rate is:
\(\begin{gathered} m=\frac{21-0}{1-0} \\ m=\frac{21}{1} \\ m=21 \end{gathered}\)Therefore, the rate of change of the first line is 21 mph.
Using the points given for the second line we have:
\(\begin{gathered} m=\frac{68-51}{4-3} \\ m=\frac{17}{1} \\ m=17 \end{gathered}\)Therefore, the rate of change of the second line is 17 mph.
what is the value of t
Answer:
29 degrees
Step-by-step explanation:
the whole Angle equals 73 degrees
73° - 44° = 29°
The principal was very _____ about the closed lunch policy and would not change his mind
Jared flicked the arrow on this spinner four times, and the arrow landed on green each time. If Jared spins the arrow a fifth time what is the theoretical probability that it will land on green
Answer:
The correct answer would be 3/8.
Step-by-step explanation:
There are 3 greens on this spinner , and 8 in total , so there’sa probability of 3% that the arrow will land on green again .
The theoretical probability that it will land on green is 1.
What is the probability?
It is the likeliness of happening an event. It is calculated by the following formula:
Probability=number of events/number of total events.
How to calculate the probability?
Jared had flicked the arrow all the four times on the green ,it means that the probability that it is landed on green each time is 100%. So the probability that it will land on green fifth time also is 1.
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Need answers ASAP!!!
Also, I will give Brainliest to whoever includes an explanation on what 9 ⁻³ means.
The given exponents 9⁻³/9¹² in the form 9ⁿ is 9⁻¹⁵ respectively.
What is Exponentiation?A number's power or exponent, in other words, tells how many times it must be multiplied by itself.
Any integer, fraction, or decimal can serve as the basis in this situation.
Additionally, the exponent might have either a positive or negative value.
Subtract the exponents to divide exponents (or powers) with the same base.
Given that division is the inverse operation of multiplication, it stands to reason that, just as exponents are added when multiplying numbers with the same base, exponents are subtracted when dividing numbers with the same base.
So, we have the exponents as;
9⁻³/9¹²
Then, solve as follows:
9⁻³/9¹²
9⁻³⁻¹²
9⁻¹⁵
Therefore, the given exponents 9⁻³/9¹² in the form 9ⁿ is 9⁻¹⁵ respectively.
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4x - 5 =-11 + 3x
Pls help I need the answer fast
Answer:
x = -6
Step-by-step explanation:
You want to get x to only one side:
4x - 5 = -11 + 3x
-3x -3x
x - 5 = -11
Now move 5 to the right side:
x - 5 = -11
+5 +5
x = -6
will give brainliest to correct answer
The sequence that represents the arithmetic sequence will be {-6, 1, 8, 15, 22,...}. Then the correct option is A.
What is an arithmetic sequence?Arithmetic succession or arithmetic sequential is a numerical series in which the difference between subsequent terms is uniform.
Let's check all the options, then we have
A. {-6, 1, 8, 15, 22,...}, then the common difference is given as,
d = 1 - (-6) = 8 - 1 =
d = 7 = 7
B. {64, 32, 16, 8, 4,...}, then the common difference is given as,
d = 32 - 64 = 16 - 32
d = -32 ≠ - 16
C. {1, 2, 4, 8, 16,...}, then the common difference is given as,
d = 1 - 2 = 2 - 4
d = - 1 ≠ - 2
D. {1, 3, 6, 10, 15,...}, then the common difference is given as,
d = 1 - 3 = 3 - 6
d = - 2 ≠ - 3
The sequence that represents the arithmetic sequence will be {-6, 1, 8, 15, 22,...}. Then the correct option is A.
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Out of 320 racers who started the marathon, 290 completed the race, 18 gave up, and 12 were disqualified. What percentage did not complete the marathon?
320 racers started the marathon.
290 completed the race
18 gave up
12 were disqualified.
Therefore:
320 - 290= 30 didn't complete the marathon
If 320 -100%
then 30- x
\(\begin{gathered} x=\frac{\lparen30\rparen\lparen100\rparen}{320} \\ \\ x=\text{ }\frac{3000}{320} \\ \\ x=\text{ 9,375\%} \end{gathered}\)Therefore, 9,375% of the racers didn't complete the marathon.
Choose the system of inequalities that best matches the graph below.
Answer: D
Step-by-step explanation:
Hope it helps
if y is directly porportional to x^2 and the difference in the values of y when x=1 and x=3 is 32, find the value of y when x=-2
Answer:
Step-by-step explanation:
y=kx²
y₁=k(1)²=k
y₃=k(3)²=9k
y₁-y₃=k-9k=32
-8k=32
k=-4
y=-4x²
y₋₂=-4(-2)²=-16
Lynne read 2.5 chapters of her book on Tuesday, 4.25 chapters on Wednesday, and 5 chapters on Thursday. How many chapters did she read in total during those three days? I think you have to add them
Answer:
11.75
Step-by-step explanation:
2.5 + 4.25 + 5
Answer:
11.75 chapters in total
Step-by-step explanation:
Given:
2.5, 4.25, 5
The question ask for total
2.5 + 4.25 + 5 = 11.75
Deymarius drank 2/3 of a quart of water. Wesley drank 1/6 of a quart of water. how many quarts of water did they drink all together?
Answer:
5/6 quarts of water
Step-by-step explanation:
2/3 same as 4/6. 4/6 + 1/6 = 5/6
What is 3.4 divided by 10?
Answer:0.34 or .34
Step-by-step explanation:
Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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Write an equation that would change the graph of y=(x-2)^3+5
A. Move it 2 spaces left
B. Flip it vertically
C. Vertically stretch it
Show work
We may multiply the y-values by -1 to flip the graph of y = (x - 2)^3 + 5 vertically. This will display the graph along the x-axis. The inverted graph's equation is y = -((x - 2)^3 + 5).
What is equation?An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
To flip the graph of y = (x - 2)^3 + 5 vertically, we can multiply the y-values by -1. This will reflect the graph across the x-axis. The equation for the flipped graph is: y = -((x - 2)^3 + 5).
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3. Taylor has a $30.00 gift card that she can spend at the store. She has already bought a $9.00 picture frame, and she wants to buy $3.00 journals with the leftover money on the card. How many journals can she buy without going over the card's limit?
Variable:
Inequality:
Solution:
Answer:
She can buy 7 journals
$30.00-$9.00=$21.00
$3.00x7 journals=$21.00
The half-life of a certain element is 5 days. If you started with 948 grams of this element, how much remains after 30 days?
After 1 half-life, the amount of the element remaining is half of the original amount. After 2 half-lives, the amount remaining is half of the remaining amount after the first half-life. We can continue this pattern until we get to 30 days.
The number of half-lives in 30 days is 30/5 = 6.
So, after 1 half-life, the amount remaining is 948/2 = 474 grams.
After 2 half-lives, the amount remaining is 474/2 = 237 grams.
After 3 half-lives, the amount remaining is 237/2 = 118.5 grams.
After 4 half-lives, the amount remaining is 118.5/2 = 59.25 grams.
After 5 half-lives, the amount remaining is 59.25/2 = 29.625 grams.
After 6 half-lives, the amount remaining is 29.625/2 = 14.8125 grams.
Therefore, after 30 days, 14.8125 grams of the element remains
simplify 8x+10x-5y+3+9y
Answer:
18x + 4y + 3
Step-by-step explanation:
8x + 10x - 5y + 3 + 9y(8x + 10x) + (-5y + 9y) + (3)18x + 4y + 3Therefore, the answer is 18x + 4y + 3.
Answer:
\(18x+4y+3\)
Step-by-step explanation:
Add the like terms.
\(8x+10x=18x\)
\(-5y+9y=4y\)
⇒ \(18x + 4y+3\)
Thus, the answer is \(18x + 4y + 3\)
The floor of a rectangular hall is of length 9cm and width 4cm. How many tiles of 20cm by 30cm can be used to cove the floor completely?
Answer: 600 tiles
Step-by-step explanation:
Area of the hall (assuming a typo and is metres,) = 900x400
= 360000cm2
Area of the tiles = 600cm2
Amounts of tiles able to be used = 360000/600
= 600 tiles.
Answer:
Step-by-step explanation:
I think 9cm and 4 cm are the lengths of the tile. so assuming that
First, we need to calculate the area of the floor in square centimeters:
Area of the floor = length x width
Area of the floor = 20cm x 30cm
Area of the floor = 600 square centimeters
Next, we need to calculate the area of one tile in square centimeters:
Area of one tile = length of tile x width of the tile
Area of one tile = 9cm x 4cm
Area of one tile = 36 square centimeters
To find the number of tiles needed to cover the floor completely, we need to divide the area of the floor by the area of one tile:
Number of tiles needed = Area of the floor / Area of one tile
Number of tiles needed = 600 square centimeters / 36 square centimeters
Number of tiles needed = 16.67
Since we can't have a fraction of a tile, we round up to the nearest whole number. Therefore, we need 17 tiles of size 9cm by 4cm to cover the floor completely.
Find the area of the regular 18-gon with radius 11 mm
Answer:
36
Step-by-step explanation:
A line that includes the point (0, -2) has a slope of 1. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=1x-2
Step-by-step explanation:
Well this one is already given
When x=0, it's the y intercept
and it gives the slope, so we got it :D
Answer:
y=x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=1(x-0)
y+2=1(x)
y+2=x
y=x-2
For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?
one less than twice some number
Answer:
Step-by-step explanation:
2x - 1
Now, let's assume x to be 5.
Then, 2x -1 evaluates to be 2(5) - 1 = 9
Now, this is one way in which I solved this math.
You can assume x as some other value and get some other answer.
HELP ASAPPPPP!!!!!!!
Answer:
A.
Step-by-step explanation:
The double bar around any number means absolute value. Absolute value makes any number positive.
So,
9.3 = 9.3
|-2.1| = 2.1
-13.7 = -13.7
-4.2
Negatives are always the smallest:
-13.7, -4.2, |-2.1| or 2.1, 9.3
Therefore, A is the correct answer.
One shirt at H&M cost $7. what is the cost of 40 shirts
Answer:
$280
Step-by-step explanation:
7•40=$280
sonya has a bag with 4 green marbles, 7 orange marbles and 9 blue marbles. She randomly selects one marble, does not replace it and then selects another marble. What is the probability that sonya will pick two blue marbles?
A map’s scale shows that 1 cm represents 30 miles. Jeanne measured the distance from Columbus to Midway on the map as 3.3 cm. What is the actual distance from Columbus to Midway? A) 33 miles B) 66 miles C) 90 miles D) 99 miles
The actual distance from Columbus to Midway is,
⇒ 99 miles
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. And, Multiplication can be viewed as a process of repeated addition.
We have to given that;
A map scale shows that, 1 cm = 30 miles.
And, Jeanne measured the distance from Columbus to Midway on the map as 3.3 cm.
Now, We get;
1 cm = 30 miles
3.3 cm = 3.3 x 30 miles
= 99 miles
Thus, The actual distance from Columbus to Midway would be,
⇒ 99 miles
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According to a 2017 survey conducted by the technology market research firm The Radicati Group, U.S. office workers receive an average of 121 emails per day. Suppose for a particular office the number of emails received per hour follows a Poisson distribution and that the average number of emails received per hour is nine. (Round your answers to four decimal places.)
A. What is the probability of receiving no emails during an hour?B. What is the probability of receiving at least three emails during an hour?C. What is the expected number of emails received during 15 minutes?D. What is the probability that no emails are received during 15 minutes?
Answer:
a) 0.0065 = 0.65% probability of receiving no emails during an hour.
b) 0.1212 = 12.12% probability of receiving at least three emails during an hour
c) The expected number of emails received during 15 minutes is 1.2604.
d) 0.2835 = 28.35% probability that no emails are received during 15 minutes
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)
In which
x is the number of sucesses
e = 2.71828 is the Euler number
\(\mu\) is the mean in the given time interval.
In this question.
121 emails per day.
A day has 24 hours, so per hour, 121/24 = 5.0417, which means that \(\mu = 5.0417n\), in which n is the number of hours.
A. What is the probability of receiving no emails during an hour?
n = 1, so \(\mu = 5.0417\)
This is P(X = 0).
\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)
\(P(X = 0) = \frac{e^{-5.0417}*(5.0417)^{0}}{(0)!} = 0.0065\)
0.0065 = 0.65% probability of receiving no emails during an hour
B. What is the probability of receiving at least three emails during an hour?
Either you receive less than three emails during an hour, or you receive at least 3. The sum of the probabilities of these events is decimal 1. So
\(P(X < 3) + P(X \geq 3) = 1\)
We want \(P(X \geq 3)\)
Then
\(P(X \geq 3) = 1 - P(X < 3)\)
In which
\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)\)
\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)
\(P(X = 0) = \frac{e^{-5.0417}*(5.0417)^{0}}{(0)!} = 0.0065\)
\(P(X = 1) = \frac{e^{-5.0417}*(5.0417)^{1}}{(1)!} = 0.0326\)
\(P(X = 2) = \frac{e^{-5.0417}*(5.0417)^{2}}{(2)!} = 0.0821\)
\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0065 + 0.0326 + 0.0821 = 0.1212\)
0.1212 = 12.12% probability of receiving at least three emails during an hour
C. What is the expected number of emails received during 15 minutes?
15 minutes is a fourth of an hour, so n = 1/4 and \(\mu = \frac{5.0417}{4} = 1.2604\)
The expected number of emails received during 15 minutes is 1.2604.
D. What is the probability that no emails are received during 15 minutes?
\(P(X = 0) = \frac{e^{-1.2604}*(1.2604)^{0}}{(0)!} = 0.2835\)
0.2835 = 28.35% probability that no emails are received during 15 minutes
What value of x makes the equation true
x/9 +6=8
Answer:
x = 18
Step-by-step explanation:
Let's take a look at our equation:
x/9 + 6 = 8
We can use simplifying and solving rules to solve for x. First, I'd like to take 6 away from both sides of the equation to get the following:
x/9 = 2
Since 9 is being divided by x, I can multiply both sides by 9 to cancel out the /9 and get x by itself:
x = 18
So, x is equal to 18. We can check our work like this:
Is 18/9 + 6 = 8?
Well, 18/9 is equal to 2. Is 2 + 6 = 8? Yes! So our answer is correct.
If you need clarification on anything, let me know1
The acute angle with vertex Q measure 60 degrees. Use an equation to find the keasure if the obtuse angle with vertex P
The measure of the obtuse angle with vertex P is 30 degrees.
We have,
If there is an acute angle with vertex Q measuring 60 degrees, then there must be a corresponding obtuse angle with vertex P that shares the same side as angle Q.
Let's call the measure of this obtuse angle x.
By the angle sum property of triangles, the sum of the measures of the three angles in any triangle is always 180 degrees.
Therefore, we can write the equation:
60 degrees + 90 degrees + x = 180 degrees
Simplifying this equation, we get:
x = 180 degrees - 60 degrees - 90 degrees = 30 degrees
Therefore,
The measure of the obtuse angle with vertex P is 30 degrees.
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need help!?!!! pls thx