Using the rules of writing a pattern, we found the missing numbers and found the pattern:
52, 62, 72, 82
What is a pattern?
A pattern in mathematics is a series of recurring figures, shapes, or numbers. Any kind of event or thing can be connected to a pattern. A pattern has a rule that identifies the items that are part of the pattern and those that are not. There are many distinct kinds of patterns, including word patterns, logic patterns, image patterns, and number patterns. 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. The number of patterns can be limitless or finite.
We are asked to find the missing digits to complete the pattern.
5_, 62, _2, _2
So the numbers have two digits.
For this pattern, the last three numbers end with the digit 2.
So the first number should be 52.
Now the difference between 52 and 62 is 10.
Since the last two numbers also have an ending digit as 2, the difference between two consecutive numbers should be 10.
Then the pattern is:
52, 62, 72, 82.
Therefore using the rules of writing a pattern, we found the missing numbers and found the pattern:
52, 62, 72, 82
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i need help with this ecuation
Answer: y = 4/3x+1
Step-by-step explanation:
Answer:
y=4/3 + 1
Step-by-step explanation:
There are different ways to do this for finding slope, you can use the formula or you can do rise over run. How to find rise over run you count how many places up so our current place is (-3,-3) and we are trying to find (3,5) so if you were to start with rise, you rise 8 places then run you go either left or right in our case right, you move 6 places. So our fraction would be 8/6 or simplified 4/3. But using the formula to make sure we got the right answer, our formula is y2-y1/x2-x1 so that would look like 5- -3/3- -3. To solve on our top side two negatives give us a positive so the top is 8 and then bottom is 6 so we get 8/6 or 4/3. But our slope intercept would be y= 4/3x +1.
Isabel is in a hot air balloon that has just taken off and is now floating 140 meters above
its launching point. Debbie is standing on the ground, 147 meters away from the
launching point. How many meters apart are Isabel and Debbie?
?
147 m
140 m
Answer: 390
Step-by-step explanation:
m
Isabel is in a hot air balloon that has just taken off and is now floating 140 meters above
its launching point. Debbie is standing on the ground, 147 meters away from the
launching point. How many meters apart are Isabel and Debb
Answer:
Isabel and Debbie are 203m apart.
Step-by-step explanation:
Since Isabel went straight up in the balloon and Debbie is straight over presumably on flat ground, they make a right triangle with the third point being the launching spot.
It is a right triangle. See image. Use the Pythagorean Theorem.
140^2 + 147^2 = d^2
Where d is the distance between Isabel and Debbie.
see image for work shown.
Solve the equation 13coshx + 12 sinhx = 23/4
Answer:
5 3/4
Hope this is what you're looking for
Fiona’s family is replacing a carpet
two mechanics worked on a car. the first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. together they charged a total of $2175. what was the rate charged per hour by each mechanic if the sum of the two rates was $120 per hour?
Mech #1 charged 45$/hr and Mech #2 charged 75 $/hr. We can find the solution in the following manner:
Let's make,
mechanic #1's rate = x
mechanic #2's rate = y
Their rate is dollars per hour ($/hr)
Mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mechanic #1
And mechanic #2 worked for 15 hours
15y = money earned by mech#2
Together they charged a total of $2175. So the amount of money earned by both mechanics.
20x + 15y = 2175
The sum of the two rates was $120 per hour.
x + y = 120
which means
x = 120- y
Putting (120 - y) in for "x" in the other equation to get everything in terms of one variable.
20(120 - y) + 15y = 2175
Now we can solve for y and get the solution:
20(120 - y) + 15y = 2175
y=45 $/hr
Now use this to solve for x
x + y = 120
x + 45 = 120
x =75
x = 75 $/hr
Mech #1 charged 45$/hr
Mech #2 charged 75 $/hr
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Please help! Easy geometry question!
a) If the slant range of the plane in the image is 14.5 km, and the ground range is 10.15 km, find the altitude of the plane to the nearest meter. Show your work and explain your thinking.
b) If this plane loses power and descends suddenly at a rate of 750 meters per minute, how much time will the pilot have before he has to land?
The altitude of the plane to the nearest meter is 9210 meters and if the plane descends at a rate of 750 meters per minute, the pilot will have 12.28 minutes.
What is right angled triangle ?
A right-angled triangle is a triangle that has one angle that measures 90 degrees (a right angle). This means that the other two angles must add up to 90 degrees as well. The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. The Pythagorean theorem, which states that the sum of the squares of the legs of a right-angled triangle is equal to the square of the hypotenuse, is a fundamental concept in mathematics and has many practical applications. Right-angled triangles are used in fields such as engineering, architecture, and physics to calculate distances, heights, and angles.
a) Let's use the Pythagorean theorem to find the altitude of the plane. We have a right triangle with the slant range as the hypotenuse, the ground range as one leg, and the altitude as the other leg. So, we can use:
altitude² + ground range² = slant range²
altitude² + 10.15² = 14.5²
altitude² = 14.5² - 10.15²
altitude² = 84.9025
altitude ≈ 9.21 km or 9210 meters (rounded to the nearest meter)
b) If the plane descends at a rate of 750 meters per minute, the pilot will have:
time = altitude / descent rate
time = 9210 / 750
time ≈ 12.28 minutes (rounded to two decimal places).
Therefore, the altitude of the plane to the nearest meter is 9210 meters and if the plane descends at a rate of 750 meters per minute, the pilot will have 12.28 minutes.
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The amount you must add to 8 to increase 8 by 25% is
Answer:
2
Step-by-step explanation:
Take out 25% of 8
25/100*8= 2
Required Amount=2
Pls calculate the areas
The area of the circle with a radius of 10 meters is given as follows:
314.16 m².
How to calculate the area of a circle?The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:
A = πr².
The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle, on a segment that passes through the center. Hence, the diameter’s length is twice the radius length.
Considering the above concept, the measure of the radius for the circle in this problem is given as follows:
r = 10m.
Thus the area of the circle is given as follows:
A = π x 10²
A = 314.16 m².
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Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why?
Pre-Employment Drug Screening Results
Positive test result
Negative test result
Drug Use Is Indicated
Drug Use Is Not Indicated
Subject Uses Drugs
46
8
Subject Is Not a Drug User
1
30
Question content area bottom
Part 1
The probability of a false positive test result is enter your response here.
(Round to three decimal places as needed.)
The probability of a false positive test result is approximately 0.1702 or 17.02%.
The person who will suffer from a false positive are the subjects who aren't drug users.
How to calculate the probabilityFrom the given data, we can see that there are a total of 46 + 1 = 47 positive test results, out of which 8 are false positives (i.e., the subject is not a drug user).
The probability of a false positive test result is:
Probability of false positive = Number of false positives / Total number of positive test results.
Probability of false positive = 8 / 47
Probability of false positive = 0.1702
Therefore, the probability of a false positive test result is approximately 0.1702 or 17.02%.
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in quadrilateral JKLM, angle K is a right angle, Is JKLM a rectangle
Answer:
Step-by-step explanation:
catss
ssssssssssssssssssssssssssssssssssssssssssssssssss
Rounding to nearest 10th
Given - the system of the equations as
[tex]y=-2x+1\\y=-11x-3[/tex]
To find - the solution of the set of equation
Explanation- given the set and we can see that left hand side of the equation is equal.
we get
[tex]-2x+1=-11x-3\\-2x+11x=-3-4\\9x=-7\\x=-7/9=-0.77[/tex]
we get
[tex]y=-2(0.77)+1\\y=-1.54+1\\y=-0.54[/tex]
Hence the value is x =-0.77, y=0.54
Final answer- the value of x = 0.77, y = -0.54
How many gallons is two liters
Answer:
Step-by-step explanation:
1 gallon= 4 liters
2gallons=8liters
8liters answered
But exactly: 7.57082 liters
what is the mean,median,mode,range of 14,9,20,5,17,13
7234 rounded off to the nearest 5
The number 7234 can be rounded to the nearest multiple of and it is 7235.
How to round a number?Check the value of the remainder:
If the remainder is less than 2.5, round down to the nearest multiple of 5
If the remainder is 2.5 or greater, round up to the nearest multiple of 5
Rounding off 7234 to the nearest 5 means we need to find the multiple of 5 that is closest to 7234.
Divide 7234 by 5 and get the quotient and remainder
= 7234 ÷ 5
= 1446 with a remainder of 4
Multiply the quotient by 5 and add the value determined.
Using this method, we can see that the nearest multiple of 5 to 7234 is 7235, since the remainder is 4 which is less than 2.5. Therefore, rounding off 7234 to the nearest 5 results in 7235.
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The complete question:
What will be the value when 7234 rounded off to the nearest 5(which will be divisible by 5)?
36/48 simplify plsssss
Amari gathered a random sample of favorite beverages of the students in her class. She calculated data on different variables. For one of the variables that she collected, she constructed a bar graph.
Which of the following variables did she use?
Price of beverage
Type of beverage
The volume of the beverage
Number of ounces in the beverage
A random sample of 100 customers at a local ice cream shop were asked what their favorite topping was. The following data was collected from the customers.
Topping Sprinkles Nuts Hot Fudge Chocolate Chips
Number of Customers 44 27 12 17
Which of the following graphs correctly displays the data?
a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled chocolate chips going to a value of 17, the second bar labeled hot fudge going to a value of 12, the third bar labeled nuts going to a value of 27, and the fourth bar labeled sprinkles going to a value of 44
a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled hot fudge going to a value of 17, the second bar labeled chocolate chips going to a value of 12, the third bar labeled sprinkles going to a value of 27, and the fourth bar labeled nuts going to a value of 44
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled chocolate chips going to a value of 17, the second bar labeled hot fudge going to a value of 12, the third bar labeled nuts going to a value of 27, and the fourth bar labeled sprinkles going to a value of 44
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled hot fudge going to a value of 17, the second bar labeled chocolate chips going to a value of 12, the third bar labeled sprinkles going to a value of 27, and the fourth bar labeled nuts going to a value of 44
In the 2021 football season, the Riverside Red Dragon's manager gathered the points scored by the team during the regular season games. The following data set shows the values collected by the manager.
{13, 0, 20, 27, 27, 31, 13, 30, 30, 26, 20, 27, 30, 11, 30, 4}
Which of the following stem-and-leaf plots correctly graphs the data set?
2021 Riverside Red Dragon Football Season Points
1 1 3 3
2 0 0 6 7 7 7
3 0 0 0 0 0 1
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
0 0 4
1 1 3
2 0 6 7
3 0 1
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
0 0 4
1 1 3 3
2 0 0 6 7 7 7
3 0 0 0 0 1
Key 1|1 = 11
2021 Riverside Red Dragon Football Season Points
1 1 3
2 0 6 7
3 0 1
Key 1|1 = 11
A principal was interested in the number of hours slept per night by 14-year-olds in a particular town. She gathered data from a random sample of ten 14-year-olds from a local youth group in the town and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for her data?
Stem-and-leaf plot
Histogram
Circle graph
Bar graph
Answer:
The first question asks which variable Amari used to construct a bar graph. It is not specified which variable she used, so we cannot determine the answer.
The second question asks which graph correctly displays the data collected from the customers about their favorite topping. The data is nominal, so a bar graph would be appropriate. The correct answer is:
c) a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled chocolate chips going to a value of 17, the second bar labeled hot fudge going to a value of 12, the third bar labeled nuts going to a value of 27, and the fourth bar labeled sprinkles going to a value of 44
The third question asks which stem-and-leaf plot correctly graphs the data set of points scored by the Riverside Red Dragons during the 2021 football season. The correct answer is:
c)
2021 Riverside Red Dragon Football Season Points
0 0 4
1 1 3 3
2 0 0 6 7 7 7
3 0 0 0 0 1
Key 1|1 = 11
The fourth question asks which graphical representation would be best for a principal interested in the number of hours slept per night by 14-year-olds in a particular town. The data is quantitative, so a histogram would be appropriate. The correct answer is:
b) Histogram
Gabriel's father has a garden in the back yard. The dimensions of the garden are shown here.
A green rectangle is shown. The width is labeled as 2 and two-thirds feet. The length is labeled as 7 and three-fourths feet.
Part A
Calculate the area of the garden. Show at least one step before you show your solution.
Part B
You found the area of the garden in Part A. Explain briefly, without doing any calculations, how you would find
5/6 of this area.
The Area of Garden is 62/3 feet².
What is area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.
The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area. Square units like cm² and m² are used to measure area. A shape's area is a two-dimensional measurement.
Given:
Length = 7 3/4 feet = 31/4 feet
Width = 2 2/3 feet = 8/3 feet
So, Area of Garden
= l w
= 31/4 x 8/3
= 62/3 feet²
and, Now, 5/6th of the Garden
= 62/3 x 5/6
= 31 / 3 x 5 / 2
= 155 / 6 feet²
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See photo for question and graph
The radius of the circle E is 27/5.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Let X be the intersection of the circles with centers B and E, and Y be the intersection of the circles with centers C and E.
Since the radius of B is 3, AX = 4.
Assume AE = p.
Then EX and EY are radii of circle E and have length 4 + p.
AC = 8, and ∠CAE = 60° because we are given that triangle T is equilateral.
Using the Law of Cosines on Δ CAE, we obtain
(6+p)² =p² + 64 - 2(8)(p) cos 60
The 2 and the cos 60 terms cancel out:
p² + 12p + 36 = p² + 64 - 8p
12p+ 36 = 64 - 8p
p = 28/20
= 7/5
The radius of circle E is 4 + (7/5)
= 27/5
Hence, the radius of the circle E is 27/5.
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How do you find the surface area, in square meters, of a triangular prism
Answer:
Step-by-step explanation:
Surface area of a triangular prism: The surface area of a triangular prism is given by A=bh+(b1+b2+b3)l units2 A = b h + ( b 1 + b 2 + b 3 ) l units 2 where b is the base of a triangular face, h is the height of a triangular face, b1 , b2 , and b3 are the sides of the triangular base, and l is the length of the prism.
pls show work i’m struggling
Answer:
A. 62 units
Step-by-step explanation:
To find the perimeter of the rectangle, you have to use the Pythagorean theorem.
a^2 + b^2 = c^2 - Formula
24^2 + b^2 = 25^2 - Plug in values
576 + b^2 = 625 - Simplify
b^2 = 49 - Isolate the variable
b = 7 - Solve
After finding the height, find the perimeter.
P = 2b + 2h
P = 2(24) + 2(7)
P = 48 + 14
P = 62 units
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
The same solutions equations are B)2.3p – 10.1 = 6.49p-4 and C)230p-1010=650p-400-p.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here the given equation is,
=> 2.3p – 10.1 = 6.5p – 4 – 0.01p
To remove decimal we need to multiply by 100 on both side of the equation then,
=> (2.3p – 10.1)*100 = (6.5p – 4 – 0.01p)*100
=> 2.3*100p-10.1*100=6.5*100p-4*100-0.01*100p
=> 230p-1010=650p-400-p
And simplifying then,
=>2.3p – 10.1 = 6.5p – 4 – 0.01p
=>2.3p – 10.1 = 6.49p-4
Hence the correct options are, B)2.3p – 10.1 = 6.49p-4 and C)230p-1010=650p-400-p.
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In a classroom 1/6 of the students are wearing blue shirts and 2/3 are wearing white shirts. There are 12 students in the classroom. How many students are wearing shirts other than blue shirts or white shirts.
Answer:
Step-by-step explanation:
Blue shirts: [tex]\frac{1}{6}[/tex]×[tex]12=2[/tex]
White shirts: [tex]\frac{2}{3}[/tex]×[tex]12=8[/tex]
∴ there are 2 students(12-2-8=2) wearing a different shirt.
Suppose 20% of the population are 64 or over, 28% of those 64 or over have loans, and 53% of those under 64 have loans. Find the probabilities that a person fits into the following categories.
(a) 64 or over and has a loan
(b) Has a loan
(c) Are the events that a person is 64 or over and that the person has a loan independent? Explain.
The probability that a person is 64 or over and has a loan is 0.20 × 0.28 = 0.056.
What is Probability?Probability is the study of the likelihood of certain outcomes or events occurring. It is the measure of how likely it is for something to happen. Probability can be expressed as a percentage, a fraction, or a number between zero and one. Probability is used to help make decisions in a variety of situations, from games of chance to business decisions and scientific research.
(b) The probability that a person has a loan is 0.20 × 0.28 + 0.80 × 0.53 = 0.464.
(c) The events that a person is 64 or over and that the person has a loan are not independent. This is because the probability of having a loan depends on whether the person is 64 or over. Therefore, the two events are not independent.
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Determine if it is Exponential growth or decay. Use the information below to plug in the numbers to the formula. f(x)=a(1+or-r)^x
The value of x for each value of f(x) will lie between two consecutive whole numbers. List the whole numbers.
initial value: 1,200
decay rate: 12.5%
f(x) = 450
The exponential function is a decay, and it can be written as:
f(x) = 1,200*( 0.875)^x
Is it an exponential growth or decay?The general exponential function can be written as:
f(x) = A*(b)^x
Where A is the initial value and b is the base.
Here we have a decay rate, so this is an exponential decay, and we can write:
b = 1 - r
Where r is the decay rate in decimal form:
b = 1 - 0.125 = 0.875
And the initial value is 1,200, so the exponential function is:
f(x) = 1,200*( 0.875)^x
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decrease 1.894 by 0.954
Answer: 0.94
Step-by-step explanation: This is the same as saying subtract 0.954 from 1.894.
1.894 - 0.954 = 0.94
What is the value of b?
10
16
20
26
The value of b from the given hyperbolic equation is 10. Therefore, option A is the correct answer.
What is a hyperbola?In mathematics, a hyperbola is an important conic section formed by the intersection of the double cone by a plane surface, but not necessarily at the center. A hyperbola is symmetric along the conjugate axis, and shares many similarities with the ellipse. Concepts like foci, directrix, latus rectum, eccentricity, apply to a hyperbola.
Given that, the equation x²/24² -y²/b² =1 represents a hyperbola centered at the origin with a directrix of x=576/26.
Here, a=24
Then c²=a²+b²
c²= 24²+b²
c=√(576+b²)
We know that, directrix = x =± a²/c
Now, 576/26 = 576/√(576+b²)
√(576+b²)=26
576+b²=26²
576+b²=676
b²=100
b=10
Therefore, option A is the correct answer.
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Answer:
in photo I provided :)
Step-by-step explanation:
hope this helps <3
PLEASE HELP PLEASE ASAP PLEASE HELP
What are the coordinates of each point after the quadrilateral RSTU is rotated 90 degrees about the origin?
Answer:
Step-by-step explanation:
Well when rotating 90° RSTU counterclockwise we get MNPQ.
When rotating 90° RSTU clockwise we get it the reflection across the y-axis.
a.x + 5 <8y x + 5>8
Solving the inequalities for x and y, we have x > 3 and y > 1
What is inequalities?Inequalities are mathematical expressiοns that cοmpare twο quantities οr values and indicate their relative sizes. Inequalities are represented using symbοls such as < (less than), > (greater than), ≤ (less than οr equal tο), and ≥ (greater than οr equal tο).
Here Given that the twο inequalities are:
x + 5 < 8y
And
x + 5 > 8
x > 8 - 5
x > 3
Substate the value of x in x + 5 < 8y:
x + 5 < 8y
x < 8y - 5
3 < x < 8y - 5
3 < 8y - 5
3 + 5 < 8y
8 < 8y
y > 8/8
y > 1
Thus, Solving the inequalities for x and y, we have x > 3 and y > 1
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Complete question:
Solve the for x and y.
a. x + 5 < 8y
x + 5 > 8
Assume you take out a $3000 loan, compounded monthly, for 2 and a half years at 8.5% APR. What is the last month’s interest? Answer rounded to the nearest penny.
In response to the aforementioned query, we may say that The interest for the previous month, rounded to the nearest cent, is $289.84.
what is interest ?By dividing the principal by the interest rate, the passage of time, and other factors, simple interest is determined. Simple return equals principle plus interest plus hours is the formula used in marketing. The easiest way to compute interest is by using this method. The most typical method for calculating interest is as a portion of the principle amount. For example, if he borrows $100 from a buddy and agrees to pay back the loan at 5% interest, he will only pay his share of the 100% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and you must charge interest when you lend it. Typically, interest is determined as an annual percentage of the loan total. The loan's interest is the name given to this percentage.
The Annual Percentage Rate (APR) can first be changed to a monthly interest rate as follows:
r = APR/12 = 0.085/12 = 0.0070833
Then, we may determine how many months the loan will last:
n = 2.5 years * 12 months a year = 30 months.
We can now calculate the total amount owing at the conclusion of the loan term using the compound interest formula:
A= P(1 + r)^n
where P is the loan's principle, r is the interest rate each month, and n is the number of months.
A = $3000(1 + 0.0070833)^30\s= $3,789.64
At the conclusion of the loan period, there will be a balance of $3,789.64.
B = $3000(1 + 0.0070833)^(30-1) - [((1 + 0.0070833)^30 - 1)/(0.0070833)]
= $3,499.80
I = $3,789.64 - $3,499.80\s= $289.84
The interest for the previous month, rounded to the nearest cent, is $289.84.
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Linear Inequality
X >/ -2
X-y >/ 1
The solution to the system of inequalities is:
{x | x ≥ -2, x - y ≥ 1} or in set-builder notation: {(x,y) | x ≥ -2, y ≤ x - 1}.
What is linear inequality?A linear inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
First, let's graph the line x = -2, which is a vertical line passing through -2 on the x-axis.
Next, let's graph the line x - y = 1, which can be rewritten as y = x - 1. This is a line with a slope of 1 (meaning it goes up 1 unit for every 1 unit it goes to the right) and a y-intercept of -1 (meaning it passes through -1 on the y-axis).
Now, we need to shade in the region that satisfies both inequalities. We know that x has to be greater than or equal to -2, so we shade to the right of the vertical line x = -2. We also know that x - y has to be greater than or equal to 1, so we shade above the line y = x - 1.
The shaded region is the overlapping region that satisfies both inequalities. It is the region above the line y = x - 1 and to the right of the vertical line x = -2.
Therefore, the solution to the system of inequalities is:
{x | x ≥ -2, x - y ≥ 1} or in set-builder notation: {(x,y) | x ≥ -2, y ≤ x - 1}.
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The complete question is as follows:
What is the solution to the system of inequalities?
x ≥ -2
x - y ≥ 1