Answer:
n = 1
Step-by-step explanation:
[tex]\frac{8}{3}[/tex] = [tex]\frac{19}{6}[/tex] n - [tex]\frac{1}{2}[/tex] n
multiply through by 6 ( the LCM of 3, 6 and 2 ) to clear the fractions
16 = 19n - 3n
16 = 16n ( divide both sides by 16 )
1 = n
The mass of a paper clip is 5.0 x 10^−4 mg. If a box of paper clips has 6.85 x 10^4 paper clips, determine the total mass of the paper clips in the box. Write the final answer in scientific notation with the correct number of significant digits.
=====================================================
Explanation:
Multiply the given values. This is because,
total mass = (number of paperclips)*(mass per paperclip)
So,
(5.0 x 10^−4)(6.85 x 10^4)
(5.0 * 6.85) x (10^−4 * 10^4)
34.25 x 10^(-4+4)
34.25 x 10^0
(3.425 x 10^1) x 10^0
3.425 x 10^(1+0)
3.425 x 10^1
3.4 x 10^1
We round the first value to 2 sig figs because it is the smaller sig fig count of 5.0 and 6.85; the 0 in 5.0 is significant.
Notice how I rewrote 34.25 into 3.425 x 10^1. I did this to get the number in the form a x 10^b, where [tex]0 \le a < 10[/tex], which fits scientific notation form.
The value 3.4 x 10^1 simplifies to 34. So an estimate of the total mass is about 34 mg. But we'll stick with scientific notation since your teacher instructed it.
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. In a frequency distribution, the class width is the distance between the lower and upper limits of a class. Question content area bottom Part 1 Choose the correct answer below. A. True. B. False. In a frequency distribution, the class width is the distance between the lower or upper limits of consecutive classes. C. False. In a frequency distribution, the range is the distance between the lower and upper limits of a class.
Given statement is False and the True statement is 'In a frequency distribution, the class width is the distance between the lower or upper limits of consecutive classes.'
The correct answer is an option (B)
In this question, we have been given a statement 'In a frequency distribution, the class width is the distance between the lower and upper limits of a class.'
We need to determine whether the given statement is True or False.
We know that, the class width is the distance between the lower limits of consecutive classes.
So, the given statement is False.
The correct statement is 'In a frequency distribution, the class width is the distance between the lower or upper limits of consecutive classes. '
Therefore, given statement is False and the True statement is 'In a frequency distribution, the class width is the distance between the lower or upper limits of consecutive classes.'
The correct answer is an option (B)
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is (10^4 + 10^3 + 10^2) divisible by 37?
please help!!!!!!! need the right answer in like before 15 minutes please
45 because it's 45 and I'm smart with a PhD in maths
Which value represents |-2½?
OA) 2%2₂
OB) -2½
OC) 2
OD) 3
The numeric value of the question is present in the in the option B. Thus, Option B is a correct option.
According to the statement
We have to find that the Numeric value.
So, For this purpose, we know that the
The Number value is the value refers to the worth of each digit depending on where it lies in the number.
From the given information:
The given value is a -2½.
And we have to find that the in which option the given value in the question is placed.
For example, if the value in the given question is a 1 then the in which option we have given value is 1.
Then
according to the statement,
In option B the value is similar to the those value which is given in the question.
So, The numeric value of the question is present in the in the option B. Thus, Option B is a correct option.
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Please help me pass
Answer:
I would say y=3x+6
Step-by-step explanation:
There were 323232 volunteers to donate blood. Unfortunately, nnn of the volunteers did not meet the health requirements, so they couldn't donate. The rest of the volunteers donated 470470470 milliliters each.
How many milliliters of blood did the volunteers donate?
Write your answer as an expression.
The number of milliliters of blood the volunteers donated will be given by expression 470(32 - n).
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
There were 32 volunteers to donate blood. Unfortunately, n of the volunteers did not meet the health requirements, so they couldn't donate. The rest of the volunteers donated 470 milliliters each.
Then the expression will be given as
⇒ 470(32 - n)
The number of milliliters of blood the volunteers donated will be given by expression 470(32 - n).
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Kole and his sister ordered ice cream. He spent $6.50 for his sundae. She ordered the same sundae with sprinkles, which were an extra $0.40. Kole pays for his ice cream and half of his sisters with $10. How much change will he get back?
Pls explain it step by step
Answer:
$6.95
Step-by-step explanation:
Kole: $ 6.50
His sister : $6.50+$0.40
= $6.90
Half of his sister: $6.90/2 =$3.45
$10-($6.50 +$3.45)
=$10-$3.05
=$6.95
Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. When the frisbee is thrown, it follows a parabolic path that is modeled by the function h(t) = â€" 0. 145t2 0. 019t 5. 5. How many seconds will it take for the frisbee to hit the ground?
If Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. The number of seconds it will take for the frisbee to hit the ground is: 6.2 seconds.
Number of secondsGiven:
0.145t² + 0.019t + 5.5 = 0
Using almighty formula or quadratic formula
t=-b±√b²-4ac/2a
Where:
b²=19²
a=145
c=5500
Let plug in the formula
t=-19±√19²- 4(-145) (5500)/2(-145)
t=-19±√361+(3,190,000)/-290
t=-19±√3,190,361/-290
t=-19±1,786.158/-290
Hence,
-19-1,786.158/-290; -19+1,786.158/-290
t=6.2; 6.09
Therefore If Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. The number of seconds it will take for the frisbee to hit the ground is: 6.2 seconds.
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Pls pls help whoever gets it right gets a crown
Answer:
last one is the correct one
Mark please
A, B, C and D are four towns.
B is 30 kilometres due East of A.
C is 30 kilometres due North of A.
D is 45 kilometres due South of A.
a) Work out the bearing of B from C.
b) Calculate the bearing of D from
Angle 213.7° the bearing of D from towns A, B, C and D .
What is an angle in math?
When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.The bearing of B from D is angle ADB, which is
∠ADB = arctan(30/45) ≈ 33.7°
The bearing of D from B is that angle plus 180°, so is
180° +33.7° = 213.7°
We use angle ADB because the reference direction for bearings is North.
The tangent of an angle (ADB) is the ratio of its opposite side (AB) to its adjacent side (AD).
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Explain how point-slope form is related to the formula for slope.
The point slope form finds the equation of a straight line that passes through a given point and is inclined to the x-axis. Each point on a line must satisfy the line's equation. Two-variable linear equations symbolize lines. The point slope formula is utilized when we know the line's slope and a point. The next section explains the point slope form and how to calculate its formula.
The equation of a straight line that is inclined at a particular angle to the x-axis and passes at a given point may be found by using the point slope form. This form is used to get the equation of the line. An equation may be said to be the equation of a line if it can be shown to be fulfilled by every point along the line. This indicates that a line is represented by a linear equation that has two variables. Whereas the Point slope formula is only used in situations in which both the slope of the line and a point on the line are known. In the next part, let's get more in-depth knowledge about the point slope form as well as how to derive the formula that is used to express the point slope form.
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Simplify-100
-10
-10/
10/
10
Five million four thousand three hundred in standard form (maths watch)
Find the equation of a line passing through (2,2) and perpendicular to -x+3y=-6. Write your answer in slope-intercept form and leave all numbers as a reduced fraction
The line's equation is y=3x-4.
What is Equation of line?
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation where the slope of line is m and b is the y- intercept. The slope is defined as
m = (y-y1)/(x-x1)
Given:
For two lines to be perpendicular to each other, they must have slopes that are negative reciprocals of each other (i.e. the negative reciprocal of n is -1/n). The slope of the given line is –1/3 which means the slope of a line perpendicular to it would be 3.
From the given slope equation of the line
y=3x+b,
where b is the y-intercept. Since we know the line passes through the point (2,2).
(y-2)/(x-2) = 3
y-2 = 3*(x-2)
y=3x-6+2
y=3x-4
The value of b = -4
Therefore, the equation of the second line is y=3x-4.
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Sadie has worked at a cell phone store for nine months. Her sales are denoted by the set {5, 7, 8, 21, 15, 18, 5, 13, 14}. Which five-number summary represents the data set?
{5, 6, 13, 16.5, 21}
{5, 14.5, 15, 9, 14}
{5, 7, 13, 16, 21}
{5, 7, 13, 15, 18}
Answer: 5, 7, 13, 15, 18
Step-by-step explanation:
We have to simplify by factorizing
How to solve it
Barbara deposits $3,000 in a 1-year CD at 1.1% interest, compounded daily. What is the APY to the nearest hundredth of a percent?
neverminding the amount of $3000, we know the compound interest is 1.1%, we also know that the compounding period is daily, so hmmm let's assume there are 365days in a year, so
[tex]~~~~~~ \textit{Annual Percent Yield Formula} \\\\ ~~~~~~~~~~~~ \left(1+\frac{r}{n}\right)^{n}-1~\hfill \begin{cases} r=rate\to 1.1\%\to \frac{1.1}{100}\dotfill &0.011\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, so let's assume 365} \end{array}\dotfill &365 \end{cases} \\\\\\ \left(1+\frac{0.011}{365}\right)^{365}-1 ~~ \approx ~~ 0.01106055 ~~ \approx ~~ 1.106055\% ~~ \approx 1.11\%[/tex]
For each rational function, find any points of discontinuity.
y=1 / x² - 5x+6
To find the discontinuities, we need to factor the polynomial below. Once we have the two binomials, we set each to 0. This way, you can find the value that produces 0 in the denominator.
Let's factor x2−5x+6
x2−5x+6
The middle number is -5, and the last number is 6.
Factoring means we want something like
(x+_) (x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -5
Multiply together to get 6
Can you think of the two numbers?
Try -2 and -3:
-2+-3 = -5
-2*-3 = 6
Fill in the blanks in
(x+_) (x+_)
with -2 and -3 to get...
(x-2) (x-3)
Since you cannot divide by 0, the discontinuities at these points exist as a vertical asymptote. Therefore, the vertical asymptote exists at x= two and x= 3.
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Which line is parallel to the line 5 x+6 y=30 ?
f. 5 x+9 y=30
g. 9 x+6 y=30
h. 5 x+6 y=9
i. 6 x+5 y=30
The equation of the line h. 5x + 6y = 9 is parallel with the equation of the line 5x + 6y = 30.
Two lines are parallel with each other if they do not intersect no matter how much you extend both lines. Parallel lines have equal slopes.
The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points. In an equation in slope-intercept form, y = mx + b, the slope, m is the coefficient of x.
Determine the slope of the given line and each given choices by transforming each into slope-intercept form.
5x + 6y = 30
6y = -5x + 30
y = -5/6 x + 30/6
y = -5/6 x + 5
m = -5/6
f. 5x + 9y = 30
9y = -5x + 30
y = -5/9 x + 30/9
y = -5/9 x + 10/3
m = -5/9
g. 9x + 6y = 30
6y = -9x + 30
y = -9/6 x + 30/6
y = -3/2 x + 5
m = -3/2
h. 5x + 6y = 9
6y = -5x + 9
y = -5/6 x + 9/6
y = -5/6 x + 3/2
m = -5/6
i. 6x + 5y = 30
5y = -6x + 30
y = -6/5 x + 30/5
y = -6/5 x + 6
m = -6/5
Since h. 5x + 6y = 9 has a slope of -5/6 and equal to the slope of the given line, then they are parallel lines.
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The number 6 comma 107 comma 200 can be expressed using scientific notation as ________.
The number 6 comma 107 comma 200 can be expressed using scientific notation as [tex]6.1072*10^{6}[/tex].
Scientific notation is used to represent a very large number or a very small number in Simple way.
Steps to find scientific Notation of a number
Step (i) Move the decimal point until a number between 1 and 10 is created.
Step (ii) Count the number of times the decimal is moved .
Step (iii) If the decimal is moved n times then multiply the term by n times of 10.
In the given question
the number 6107200.
Step (i) We will move the decimal 6 place towards left.
number becomes 6.107200
Step (ii) The decimal is moved 6 place towards left.
Step (iii) we will multiply by [tex]10^{6}[/tex].
[tex]=6.1072*1000000[/tex]
So , the number becomes [tex]6.1072*10^{6}[/tex]
Therefore , the number 6107200 can be expressed using scientific notation as [tex]6.1072*10^{6}[/tex]
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In an arithmetic sequence:
S14 = -63
a14 = -24
Find the first term, a₁, of the sequence.
Answer:
a₁ = 15
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
given S₁₄ = - 63 , then
[tex]\frac{14}{2}[/tex] [ 2a₁ + 13d ] = - 63
7(2a₁ + 13d) = - 63 ( divide both sides by 7 )
2a₁ + 13d = - 9 → (1)
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
given a₁₄ = - 24 , then
a₁ + 13d = - 24 → (2)
subtract (2) from (1) term by term to eliminate d
a₁ + 0 = - 9 - (- 24)
a₁ = - 9 + 24 = 15
Identify a pattern and find the next three numbers in the pattern.
1,3,9,27,81, . . .
The pattern exists described as a sequence of repeating objects, shapes, or numbers. Patterns can also occasionally be referred to as a series.
The pattern follows the rule tn = t(n-1) × 3
The next three numbers be 1, 3, 9, 27, 81, 243, 729, 2187.
What is meant by pattern?A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.
Let the numbers in the pattern be 1, 3, 9, 27, 81, . . .
t2 = 1 × 3 = 3
t3 = 3 × 3 = 9
t4 = 9 × 3 = 27
t5 = 27 × 3 = 81
t6 = 81 × 3 = 243
t7 = 243 × 3 = 729
t8 = 729 × 3 = 2187
Thus the pattern follows the rule tn = t(n-1)×3
Therefore, the next three numbers be 1, 3, 9, 27, 81, 243, 729, 2187.
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24+6x=10x
PLS help ASAP!!!
Answer:
6?
Step-by-step explanation:
24=10x-6x
24=4x
6=x
Kara is standing about 50 feet from the base of her apartment building, looking up at it with an angle of elevation of 75^{\circ} . What is the approximate height of Kara's building?
When measuring height, it is necessary to represent both the vertical position and the separation between the minimum and maximum place or location. The height of Kara's building is 186.6 ft.
What is meant by height?In math, height can be defined as the vertical distance from the top to the base of the object. Height is the distance between an object's highest and lowest points.
The measurement of an object's height from the base to the top is known as the height. It is sometimes referred to as altitude in geometry. The vertical distance between the lowest and highest point is measured. In coordinate geometry, it is often the measurement along the y-axis of an object.
Mount Everest's summit serves as an illustration of height.
Ignoring the height of Kara,
h = 50 tan 75°
substituting the value of tan 75°, we get
= 50 × 3.7321
Height of building = 186.6 ft.
Therefore, the approximate height of Kara's building is 186.6 ft.
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Use the spinner to find following probability. The spinner is spun again if it stops on a line.
P (pointer landing on red)
The spinner's point has a 11.11% chance of landing on red.
What is a pie chart, exactly?A pie chart is a type of chart which displays data as a circular graph.
We comprehend that the pie's total value is always 100%. It is also assumed that a circle has a circumference of 360°. As a result, the sum of all pieces of data equals 360°. Based on these, there appear to be primarily two pie chart formulas:
We use the mentioned format to calculate a percentage of a set of data: 100 (Frequency ÷ Total Frequency) × 100We use the following equations to convert the data to degrees: (Informed Data ÷ Total value of Data) × 360°Now, the stated data of the pie chart are-
When a circle is wholly rotated, the center forms a 360-degree angle.
A complete rotation at the central point of the circle yields 360 degrees.
The total color percentage is 100%.
Divide a red value by 3.6 because 360 ° / 100% = 3.6.
The spinner's pointer displays an overall percentage of red of 40%.
P = 40/3.6 (probability of each pointer landing on red).
P = 11.111.. = 11.11 (pointer landing on red) (approx.)
As an outcome, the pointer has a 11.11% chance of landing on the red.
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Solve for x.
2x + 0.8 = 1.2
9
x = [?]
Step-by-step explanation:
2x=1.2-0.8
2x=0.4
x=0.4/2=0.2
a. You ride your bike to a store, 4 mi away, to pick up things for dinner. When there is no wind, you ride at 10 mi/h. Today your trip to the store and back took 1 hour. What was the speed of the wind today?
The speed of the wind today is 6 miles per hour.
We know that speed = distance / time .........(1)
You ride your bike to a store, 4 mi away, to pick up things for dinner.
Here, distance = 4 miles
When there is no wind, you ride at 10 mi/h.
So, using above formula (1),
⇒ 10 = 4 / t
⇒ t = 10/4
⇒ t = 2.5 hours
This means, it takes 2.5 hours for you to get to the store on a day without wind.
Today your trip to the store and back took 1 hour.
We need to find the speed of the wind.
Let 's' be the speed of the wind.
So using above formula (1),
⇒ (10 - s) = 4 / 1
⇒ 10 - s = 4
⇒ s = 6 mi/h
Therefore, the speed of the wind today is 6 miles per hour.
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I will mark BRAINLIEST AND GIVE EXTRA POINTS TO WHOEVER ANSWERS
I really don't understand this please help meh thanks :)
Answer: 1 ) other angle = 32.0°
2 ) A = ( -2, -2 )
B = ( 2, 5 )
C = ( 4, 2 )
Step-by-step explanation for first picture:
When the sum of two angles is equal to 90 degrees, they are called complementary angles.
x + 58° = 90°
x = 90° - 58°
x = 32.0°
Step-by-step explanation for second picture:
( number on x line, number on y line )
A = ( 2, -2 )
B = ( -2, 5 )
C = ( -4, 2 )
reflection
A = ( -2, -2 )
B = ( 2, 5 )
C = ( 4, 2 )
Answer : second option
The height of a thrown football, in feet after t seconds is given by h(t) =-16^2+48^t+6. How many seconds does it take for the balls to reach maximum height after it is thrown?
Answer:
I don't know rjdjdjjdjddjidis
