We write numbers using only the digits 1,3,6 and 9 and arrange them in order. Our list begins 1,3,6,11,13,16,19,31,33 and so on. How many numbers do we write which are smaller than 2022?
Step-by-step explanation:
you made a typo.
since we are using only the digits 1, 3, 6 and 9, the list has to start
1, 3, 6, 9, 11, 13, 16, 19, 31, 33
it has to continue with
36, 39
we can skip the 40s and 50s and have then
61, 63, 66, 69
we can skip the 70s and 80s and have then
91, 93, 96, 99
that means we have 20 (5×4) numbers for the first 100.
we would have the corresponding 20 numbers in the 100s. like 101, 103, ...
but we have to skip 101, 103, 106, 109, because they contain 0.
so, it is only 16 numbers in the 100s.
there are none in the 200s.
then again 16 in the 300s. and the 600s and 900s.
so, we have
20 + 4×16 = 84 numbers in the first 1000.
then we have
16 in each the 1100s, the 1300s, the 1600s and 1900s.
and we have none in the 2000s.
so, in total we have
84 + 4×16 = 84 + 64 = 148 numbers to write.
How do you solve #22?
I need the abswer to 20005+56258
76263
Step-by-step explanation:
[tex] \: \: \: 20005[/tex]
[tex] + 56258[/tex]
___________
[tex] = 76263[/tex]
Barney just bought stock in Purple Dinosaur Industries. He paid a total of $7,380. The price of the stock is $12 for one share. How many shares did he buy?
The number of shares he buy is $615.
Given that Barney just bought stock in Purple Dinosaur Industries and he paid a total of $7,380 and the price of the stock is $12 for one share.
We want to find the number of shares Barney buys.
The total amount barney should pay is $7380.
The price of the stock for one share is $12.
The total number of shares barney buy is 7380/12=615.
Hence, the number of shares barney should buy when he paid a total $7380 and the price of stock for one share is $12 is $615.
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Trigonometry find the length of AC
Give your answer to the nearest decimal
The length AC of the triangle will be 10.6 units
What are trigonometric functions?
The trigonometric functions (also called circular functions, angle functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Given is a right angled ΔABC as shown in the figure.
We have the image as shown in the figure. In the right angled triangle -
Sin(62°) = CA/CB
Sin(62°) = CA/12
CA = 12 x Sin(62°)
CA = 12 x 0.88
CA = 10.6
Therefore, the length AC of the triangle will be 10.6 units
Therefore, by following the steps above, we can plot the graph of →
y = 5 cos(2x + π/3) - 1
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[Refer to image attached for full question]
What fraction of their goal did the sixth graders reach after day 2? day 4? day 6? day 8? day 10?
The fractions of sixth graders that reached their goal after each day are given as follows:
Day 2: 1/4.Day 4: 1/3.Day 6: 1/2.Day 8: 2/3.Day 10: 3/4.What is a fraction?A fraction is a numerical representation of the division of the two terms x and y that composed the fraction, as follows:
Fraction = x/y.
In which the technical terms related to x and y are as follows:
x, which is the top term of the fraction, is the numerator.y, which is the bottom term of the fraction, is the denominator.The fraction can be represented by bars, in which:
The number of painted bars is the numerator.The total number of bars is the denominator.As shown by the image at the end of the answer, the fractions are given as follows:
Day 2: 1 out of 4 bars painted, hence the fraction is of 1/4.Day 4: 1 out of 3 bars painted, hence the fraction is of 1/3.Day 6: 1 out of 2 bars painted, hence the fraction is of 1/2.Day 8: 2 out of 3 bars painted, hence the fraction is of 2/3.Day 10: 3 out of 4 bars painted, hence the fraction is of 3/4.Missing InformationThe image is given at the end of the answer.
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Dario bakes a lasagna containing $\frac 23$ pound of parmesan cheese, $1\frac 34$ pounds of ricotta cheese, and $1\frac 13$ pounds of mozzarella cheese.
Dario cuts the lasagna into several equal slices, each containing exactly $\frac 14$ pound of cheese. How many slices are there?
Dario cuts the lasagna into 15 equal slices.
Given,
Quantity of Parmesan cheese = 2/3 pounds
Quantity of Ricotta cheese = 1 3/4 = 7/4 pounds
Quantity of Mozzarella cheese = 1 1/3 = 4/3 pounds
The quantity of cheese in each pieces when the lasagna is cut = 1/4 pounds
We have to find the number of slices of cheese.
Here,
Total quantity of cheese;
2/3 + 7/4 + 4/3 = 2 + 7/4 = 15/4 pounds
Number of slices = total cheese / quantity of cheese in pieces
= (15/4) / (1/4) = 15 slices
That is,
Dario cuts the lasagna into 15 equal slices.
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Help please i beg of you guys.
Answer: Answer B: m angle 5 = 152 because m angle 2 = m angle 5
Step-by-step explanation: im in 8th grade math in 7th grade
Approximately how many feet tall is the streetlight
Answer:
H = 30 ft
Step-by-step explanation:
Since the triangle is 90 degrees and we have to find out how tall the streetlight is we have to subtract 90 and 40 degrees. Which we get 50 degrees, after we subtract 20 from the 50 degrees. So we get 30 ft or 30 degrees.
Tom is applying for a visa.
He has to pay £2,300 for the visa as well as a 7% charge on the visa price for an on-the-day service.
If Tom has 1 year to save, how much money should he save per month to be able to cover his costs?
Round your answer to the nearest £10.
Write the coordinates of the vertices after a translation 3 units right and 12 units down
Step-by-step explanation:
3 units right = x + 3
12 units down = y - 12
E = (-5, 4) -> E' (-2, -8)
F = (-5, 9) -> F' (-2, -3)
G = (1, 9) -> G' (4, -3)
H = (1, 4) -> G' (4, -8)
how many whole numbers lie between
[tex] \sqrt{8} \: and \: \sqrt{80} [/tex]
Use point-slope form to write the equation of a line that passes through the point
(1,-5) with slope-1.
The equation of a line that passes through the point (1,-5) with slope -1 is y = -x - 4.
Given:
(1,-5) with slope m = -1
The standard slope intercept form is y = mx + c.
substitute m = -1 and (1,-5)
-5 = -1(1) + c
-5 = -1 + c
c = -4.
y = mx + c
y = -1(x) + (-4)
y = -x - 4.
Therefore the equation of a line that passes through the point (1,-5) with slope -1 is y = -x - 4.
Therefore equation of a line that passes through the point (1,-5) with slope -1 is y = -x - 4.
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how could we determine the input value of t when W(t)=15 and the rule for function w is 2t+5
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form.
The scale factor in the simplest form of a fraction of the triangles will be 43/78.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
The triangle on the right is a scaled duplicate of the triangle on the left.
The ratio of the side of a big triangle to the side of a small triangle. Then we have
Scale factor = 43 / 78
The scale factor in the simplest form of a fraction of the triangles will be 43/78.
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Help me find the slop for question 1 and 2 ill give credit
The slopes of the given lines are:
1. 2/5.
2. -1.
How to Find the Slope of a Line?If a line passes through points on a graph, [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the formula that can be employed to find the slope of a line is given as:
Slope (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].
1. Using two points on the line, (3, 1) and (-2, -1):
Slope of the line = m = (-1 - 1)/(-2 - 3)
Slope of the line (m) = -2/-5
Slope of the line (m) = 2/5
The slope of the graph is 2/5.
2. Using two points on the line, (-3, 2) and (2, -3):
Slope of the line = m = (-3 - 2)/(2 -(-3))
Slope of the line (m) = -5/5
Slope of the line (m) = -1
The slope of the graph is -1.
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3. Consider the right triangle below in which a = 5 and b = 5.
A. Use the Pythagorean Theorem to solve for c.
Show your work!
B. What is the value of c rounded to the nearest hundredth?
C. What is the value of c in simplified radical form?
Answer:
Consider the right triangle below: State the Pythagorean Theorem as it relates to the above triangle. List the trig identities as they relate to the triangle above. Now suppose hypotenuse C represents a vector R, while sides B and A represent vector components Rx and Ry respectively. Redraw the triangle with the new labels below. Using Pythagorean Theorem, derive the equation for R.
help meeeeee pls bro
The record for the most hot dogs eaten is 73 hot dogs in 10 minutes. one hot dog and bun has a mass of 85 g. how many kg of hot dogs did the record-holder eat?
The record-holder ate 6.205 kilograms of hot dogs.
How do you prove that?We are given that 73/10 hotdogs per minute is the record for the most hot dogs eaten and one hot dog and bun has a mass of 85 grams. Also, one kilogram is equal to 1,000 grams. Solving this problem would involve converting units.
In order to find out how many kilograms of hot dogs the record holder ate, we first need to convert 85 grams to kilograms. Since a kilogram is equal to 1,000 grams, 85 grams = 85 / 1,000 = 0.085 kilograms.
Then, we multiply 0.085 by 73 to get 6.205. We can conclude that the record-holder ate 6.205 kilograms of hot dogs.
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help is needed please and thank you
The required value of g(-4) = 1 in the given function is represented in the shown graph.
What is a graph?A graph can be defined as a visual representation or a diagram that represents data or values.
The function is given in the represented graph of g(x)
We have to determine the value of g(-4) of the given function in the graph
According to the given graph, we can see that the value of the domain of the given function g(x) when the value of variable x is -4 when the value of the variable y is 1. this means the value of g(-4) = 1.
Therefore, the required value of g(-4) = 1 in the given function is represented in the shown graph.
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a random sample of 2,000 members of a union reveals that 1,600 would vote yes on a merger proposal. what is the 95% confidence interval for the population proportion of members who would vote yes?
The 95% confidence interval for the population proportion of members who vote yes is (0.782, 0.818).
What is Random Sample?A choice that is made at random (purely by chance, with no predictability). They tapes of samples are:
Convenient: Sample taken from a pool that is easily accessible.
Random: Put all the possibilities into a hat, then pull some of them at random. Every kth element is taken in a systematic manner. If you wanted to survey anything on the street, for instance, you may interview every fifth person.
Cluster: The population is divided into groupings, or clusters, and every component of each cluster is surveyed.
Stratified: Additionally stratifies the people into several groupings. But only a small portion of the group is questioned after that.
Now, finding the sample proportion,
[tex]p=\frac{x}{n} \\\\=\frac{1600}{2000}\\\\ =0.8[/tex]
The confidence level is given as,
[tex]C=p\pm[z(\frac{\alpha}{2})\times\sqrt{\frac{p(1-p)}{n} } ][/tex]
The value of [tex]z(\frac{\alpha}{2})[/tex] is 1.96
Putting the values, we get
[tex]C=0.8\pm[1.96\times\sqrt{\frac{0.8(1-0.8)}{2000} } ]\\\\C=0.8\pm[1.96\times\sqrt{\frac{0.8(0.2)}{2000} } ]\\\\C=0.8\pm0.018\\\\C=(0.782,0.818)[/tex]
Therefore, the 95% confidence interval is (0.782,0.818).
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The given question is incomplete. Here is the complete question.
a random sample of 2,000 members of a union reveals that 1,600 would vote yes on a merger proposal. what is the 95% confidence interval for the population proportion of members who would vote yes?
a) 0.782 to 0.818
b) 0.754 to 0.799
c) 0.690 to 0.713
d) 0.799 to 0.951
find the missing length
21 is missing length of parallel lines.
What is an example of parallel lines?
In terms of geometry, parallel lines are two separate lines that never cross each other and are located in the same plane. They may be vertical or horizontal. In our daily lives, parallel lines can be seen in the form of zebra crossings, rows of notebooks, and the nearby railroad tracks.Because lines are parallel
so they cut into equal proportion
then , 4/10 = x/15
4 * 15/10 = x
x = 6
length of line = 15 + 6 = 21
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the tiny country of fremont has a population of 100,000 people. in 2009, there were 2,000 births, 500 deaths, 200 emigrants, and 100 immigrants. what is the population growth rate (r) for 2009?
The population growth rate (r) for 2009 in the tiny country of fremont is found as 1.4.
Describe the term population growth rate (r)?The population growth rate (r) shows how fast a population ages over time. A population is growing if the growth rate is positive. A negative growth rate signals a declining trend. A birth rate (b) and mortality rate are the two primary elements that influence population increase (d). People leaving the population to move to another territory or immigrating from a different region may also have a consequence on population increase (emigration, e).All these elements are taken into account when formulating the population growth formula.
r = [(b + i) - (d + e)]/1000
r = population growth rateb = birth rate; 2,000i = immigration rate; 100d = death rate; 500e = emigration rate; 200Put the values in the formula.
r = [(2,000 + 100) - (500 + 200)]/1000
r = 2100 - 700/ 1000
r = 1.4
Thus, the population growth rate (r) for 2009 in the tiny country of fremont is found as 1.4.
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Charlie wants to solve the equation -1/4(x-1) =2/3 x +2. Which step would not be an appropriate first step for Charlie to take to solve for x?
The first step Charlie should use to solve the equation will be to open the bracket on the left side of the equation.
How to solve an equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
The equation Charlie wants to solve can be calculated as follows:
-1/4(x - 1) =2/3 x +2
The first step would be to open the parenthesis on the left side of the equation as follows:
-1/4(x - 1) =2/3 x +2
- 1 / 4 x + 1 / 4 = 2 / 3 x + 2
Let's subtract 1 / 4 from both sides of the equation
- 1 / 4 x + 1 / 4 = 2 / 3 x + 2
- 1 / 4 x + 1 / 4 - 1 / 4 = 2 / 3 x + 2 - 1 / 4
- 1 / 4 x = 2 / 3 x + 7 /4
subtract 2 / 3 x from both sides of the equation.
- 1 / 4 x = 2 / 3 x + 7 /4
- 1 / 4 x - 2 / 3 x = 2 / 3 x - 2 / 3 x + 7 /4
- 11 / 12 x = 7 / 4
cross multiply
-44x = 84
divide both sides by - 44
x = 84 / -44
x = - 21 / 11
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a four-digit number uses each of the digits 1, 2, 3, and 4 exactly once. what is the probability that the number is a multiple of 4? express your answer as a common fraction.
The probability that the number is a multiple of four is 0.25.
we know that if a number is multiple of four then its last 2 digits must be divisible by four.( i.e. ten's and one's places)
We are given only four numbers 1,2,3,4 , which can't be repeated.
So here , in this case , such numbers with last two digits divisible by four are 12,24 and 32 only
Having last two digits ‘12’ ;
the first two digits can be formed using 3 and 4 only . This can be done in (2!) = 2 ways.
Similar case will be happening with 24 and 32 as well.
So the total ways of getting a multiple of four will be = 2 + 2 + 2
= 6 ways
Now total numbers that can be made from given four digits = [tex]P_{4} ^{4}[/tex]
= 24
So the probability of getting a multiple of four is = 6/ 24
= 0.25
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Select the two values of x that are roots of this equation. 2x2 – 11x + 15 = 0
A.x=3
B.x=6
C.x=5
D.x=5/2
The two values of x is x = 3 and x = 5/2 of the equation 2x²– 11x + 15 = 0 i.e, the option(a) and option(d)
What is a Quadratic equation ?
A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.
The given expression is ,
2x²– 11x + 15 = 0
Solve the equation and find roots
2x² - 6x - 5x + 15 = 0
Take common elements out
2x(x - 3) - 5(x - 3) = 0
we get the brackets same that means we're on right way,
(2x - 5) (x - 3) = 0
split the values into two and find values,
2x - 5 = 0 and x - 3 = 0
2x = 5 x = 3
x = 5 / 2
Hence, the values of x is x = 3 and x = 5/2 of the equation 2x²– 11x + 15 = 0 i.e, the option(a) and option(d)
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Pls help me ! for this question
Answer:
f = 3cm g = 16cm
Step-by-step explanation:
Area of ABCE = 60cm²
Area of ABCD = 48cm²
60 - 48 = 12
Area of ADE = 12cm²
A to D = 3cm
f = 3cm
g = 16cm
2(1 + 2k)
Simplify the expression... HELP
Answer:
2+4K
Step-by-step explanation:
distribute the 2
2(1+2k)
2(1)+2(2k)
2+4K
Hopes this helps please mark brainliest
Simplifique la siguiente expresión.
(3²) 4.3³.
What is the equation of the line containing the points (5, 2), (10, 4), and (15, 6)?
A. y = 2/5x
B. y = x - 3
C. y = 1/5x + 1
Answer: A
Step-by-step explanation: