Find the 15th term in the arithmetic sequence 7, 10, 13, 16, 19,... Question 4 options: 49 42 35 52
Answer:
49
Step-by-step explanation:
first you find the difference between the first two numbers so we do 10-7=3, then plug in 3 for the next 2 numbers 10+3=13, so we know our rule is +3 so now we do 3*14=42 then we do 7+42=49
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The two triangles above are similar.
Find x using the ratio of the sides 12 cm and 16 cm:
x
20
=
12
16
. Show your work.
Find x using the ratio of the sides 6 cm and 8 cm. Show your work.
Explain why the answers to (a) and (b) should be the same.
a. Using the ratio of the sides 12 cm and 16 cm
x/20 = 12/16
x = (12(20)) / 16 = 15
b. Using the ratio of the sides 6 cm and 8 cm
x/20 = 6/8
x = (6(20)) / 8 = 15
c. The answer is the same since the ratio 12/16 and 6/8 is both equal to ¾.
Hope this answer will be a good help for you.
Evaluate
4x4+ (2x3)x 9+11+1
Answer:
82
Step-by-step explanation:
calculator
2,325 divided by 15 equals what I’m really confused ?)
Answer:
155
Step-by-step explanation:
buys 5 apples for 2.60 dollars how much does one apple cost
Answer:
One apple cost $0.52.
Step-by-step explanation:
$2.60/5 = $0.52
$0.52 * 5 = $2.60
The rectangular foor of a classrom is 30 feet in length and 24 feet in width. A scale drawing of the floor has a length of 5 inches. What is the perimeter, in inches, of the floor in the scale drawing?
The required perimeter of the scale drawing is given as 18 inches.
Given that,
The rectangular floor of a classroom is 30 feet in length and 24 feet in width. A scale drawing of the floor has a length of 5 inches. The perimeter, in inches, of the floor in the scale drawing, is to be determined.
Perimeter is the measure of the figure on its circumference.
Here,
According to the question,
L = 30 feet, W = 24 feet,
for Scaled drawing
l = 5 inch, w = x
Now,
30/5 = 24 / x
6 = 24 / x
x = 24 {1/6}
x = 4,
So the width of the scale drawing is 4 inches,
perimeter of the scaled drawing = 2[l + w]
= 2 [5 + 4] = 18 inches
Thus, the required perimeter of the scale drawing is given as 18 inches.
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Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial. Then classify the polynomial by the number of terms. 5z + 2z³ + 3z4 Standard form: Degree: Leading coefficient: Classification:
The given polynomial written in standard form is: 3z⁴ + 2z³ + 5z
Degree: 4
Leading Coefficient: 3
Classification: Trinomial
How to write polynomial in standard form?Writing a polynomial in standard form simply means that we put the term with the highest exponent in it first and then the one with the second highest exponents second, and so on.
The polynomial we are given is: 5z + 2z³ + 3z4
Writing it in standard form gives us:
3z⁴ + 2z³ + 5z
The degree of the polynomial is defined as the value of the exponent in the leading term (if we are assuming a single variable). Thus, this given polynomial is of degree 4.
The leading coefficient is the number that the first term is multiplied by and in this problem that would be 3.
There are three terms in the given polynomial (the first term is 3z⁴, the second term is 2z³, and the 3rd term is 5z). Thus, it is a trinomial.
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The graph of a function is shown below . What is true about the function between x=1 and x=5
The true statement about the function between x = 1 and x = 5 is that the function decreases at this interval
How to interpret the graph?The graph of a function represents the given parameter
Also, we have the interval to be
x = 1 and x = 5
From the function, we can see that
f(5) < f(1)
This means that:
The function values decrease from x = 1 to x = 5
The general conclusion of this is that this interval represents a decrement in the values of the function
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For the suffering you can buy a 6 oz pack of suffering mix for $ $1.98 .The label says a serving size is 1/6 of the Package. If the serving size is 1/6 of the package how many people will 1 package serve?
Answer:
6... if the serving size is 1/6 of the package, that means it will serve 6 people
Step-by-step explanation:
pls help I cant seem to figure this out and its due by midnight
Answer:
20 80 10 8 3 hope this helps ;]
Step-by-step explanation:
A program began at 6:30 P.M. and ended at 7:00 P.M. There were two 4.5-minute commercial breaks. How long was the program itself?
Answer:
The total length of the commercial breaks is 4.5 minutes x 2 = 9 minutes.
So the length of the program itself is 7:00 P.M. - 6:30 P.M. - 9 minutes = 30 minutes - 9 minutes = 21 minutes.
Answer:
21 minutes
Step-by-step explanation:
30-9-21 minutes of program
If b = 3, then b ^-2 is equivalent to
9
09
-6
01
Answer:
1/9 = 0.11111111 ( infinite )
Step-by-step explanation:
help me solve it 50 points step by step explanation
Answer:
The perimeter is 52 cm
Step-by-step explanation:
Just add all the sides together.
15 + 3 + 5 + 11 + 8 + 10
To find the missing sides, just subtract 15 - 5
To find the other missing side, just subtract 11 - 3
Answer:
Step-by-step explanation:
The first thing you need to do is calculate the unknown lengths. Then, add to get the perimeter. This will be easier on paper so let me attach the solution. Hope this helps!
Need answers please help
Answer
Yes, zero is contained in the interval
Mr. Cho received a container of fresh eggs. He sold 1/3
of the eggs in the
morning and sold 320 eggs in the afternoon. At the end of the day, he
found that 1/4
of the eggs were not sold. How many eggs did he receive in
the beginning?
Mr. Cho received 3840 eggs in the beginning.
Let's assume that Mr. Cho received x eggs in the beginning.
In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.
In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.
At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:
3/4 × x = 2/3 × x - 320
Multiplying both sides by 12, we get:
9x = 8x - 3840
Simplifying, we get:
x = 3840
Therefore, Mr. Cho received 3840 eggs in the beginning.
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Please help ASAP! Thank you
Answer:
a. lines intersecting at a single point
b. one solution
Step-by-step explanation:
a. The equations can be rewritten as:
y = -5x+23 and y = -1/6x+1
Comparing the equations with standard equation: y=mx+c, where m is the gradient of the line formed by the linear equation.
Since the gradient of the lines are different then the lines cannot be parallel and will intersent at one point.
b. The equation will have one solution as below.
The equations can be rewritten as:
5x+y=23
5x+30y=30
Subtracting both equation will result in,
29y=7
=> y=7/29
Hence x= 660/29
person examines 10 roses; all of which are red, and concludes that all roses are red. What type of reasoning
Answer: Inductive reasoning.
Step-by-step explanation:
This is an example of inductive reasoning. Inductive reasoning means going from a specific observation (these 10 red roses) to a general conclusion ("all roses are red").
Fluency and Skills Practice
Finding Mode, Median, and Range
Find the mode, median, and range of each data set.
Players on Mia's Soccer Team
Age (years)
11
1
10
9
mode:
median:
range:
8 11 12
11
Name: Maria
Maria Jose
2 Number of Marbles in Each Bag
15 14 15 14 13 15
12
mode: 5
15
median:
14
range:
Encontrar el modo la mediana y el rango de 10, 9, 11,8,11,12,11
The solution is :
Mean max speed = 157 m/sec.
Median max wind speed = 100 m/s.
Mode max wind speed = 75, 80, 85 and 115.
We have,
The amount of times an occurrence or value occurs is referred to as its frequency.
A frequency table is one that lists objects and shows how frequently they occur.
The frequency is represented by the letter 'f' in the English alphabet.
Arrange the given frequencies in the ascending order.
75, 75, 80, 80, 85, 85, 90, 100, 115, 115, 160, 165, 205, 450, 475.
Total frequencies 'n' = 15.
Part 1: Mean max speed: The number of duration or frequently applied events of a particular type in a unit of time, usually one second.
Mean max speed: (75 + 75 + 80 + 80 + 85 + 85 + 90 + 100 + 115 + 115 + 160 + 165 + 205 + 450 + 475)/15
Mean max speed: 2355/15 = 157.
Thus, the mean max speed of the wind is 157 m/sec.
Part 2: median max wind speed;
The median is the number in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.
median = (n + 1)/2 ....for odd number of frequencies.
median = (15 + 1)/2
median = 8th term
median = 100.
The median speed of the wind is 100 m/s.
Part 3: mode max wind speed,
A mode is the value with the highest frequency in a specific set of values. It is the value which appears the most frequently.
Mode = 75, 80, 85 and 115.
Thus, given frequencies has 4 mode values.
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The correct question is-
The frequency table is given as-
Max Wind Speed
(mph)
-75
450
160
205-
475-
115
90
85
80
100
80-
75
165
115.
85
Find the mean max wind speed of the wind.
Find the median max wind speed of the wind.
Find the mode max wind speed of the wind.
Which equations support the fact that rational numbers are closed under addition? Select each correct answer.
A) √2+(−√6)=0
B) √2 + √2 = 2√2
C) 1/3 + 1/3 = 2/3
D) √9 + √9 = 2√9
The options that supports that rational numbers are close under addition are:
C) 1/3 + 1/3 = 2/3D) √9 + √9 = 2√9What does it mean rational number are close under addition ?Firstly we define rational numbers as numbers that can form a fraction consisting of integers excluding zero.
Rational numbers are close under addition that means that addition of two rational numbers will not create a irrational number
The given problem
adding the fraction 1/3 + 1/3 = 2/3
all the numbers involved here are rational numbers
√9 + √9 = 2√9
√9 is a rational number since √9 = 3.
2√9 is also a rational number
√2 and √6 are irrational numbers.
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Find the common difference of the sequence 4, 12, 20, ....
8
In this pattern, we have 4 12 then 20.
We can see that the difference 4 and 12 is 8.
Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.
g is a trigonometric function of the form � ( � ) = � cos ( � � + � ) + � g(x)=acos(bx+c)+dg, left parenthesis, x, right parenthesis, equals, a, cosine, left parenthesis, b, x, plus, c, right parenthesis, plus, d. Below is the graph of � ( � ) g(x)g, left parenthesis, x, right parenthesis. The function has a maximum point at ( 3.5 , − 4 ) (3.5,−4)left parenthesis, 3, point, 5, comma, minus, 4, right parenthesis and a minimum point at ( − 1 , − 5 ) (−1,−5)left parenthesis, minus, 1, comma, minus, 5, right parenthesis. Find a formula for � ( � ) g(x)g, left parenthesis, x, right parenthesis. Give an exact expression. � ( � ) = g(x)=g, left parenthesis, x, right parenthesis, equals A graph of a trigonometric wave on an x y coordinate plane. The x axis scales by two and the y axis scales by one. There is a point on the graph at the minimum at (negative one, negative five) and a point on the maximum next to the mentioned point at (three and one half, negative four).
The exact expression for g(x) is 2.25cos((2π/4.5)×(x-3.5)) - 4.
Describe Function?A function can be represented using a formula or an equation, and it can be graphed on a coordinate plane. The input values are typically represented on the x-axis and the output values on the y-axis.
From the given information, we know that the function g(x) has a maximum point at (3.5, -4) and a minimum point at (-1, -5).
The general form of a cosine function is f(x) = A×cos(Bx + C) + D, where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.
Since the function has a maximum point at (3.5, -4), we know that the graph has been shifted to the left by 3.5 units. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) + D.
Similarly, since the function has a minimum point at (-1, -5), we know that the graph has been shifted upwards by 1 unit. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) - 4.
To determine A and B, we can use the fact that the period of the function is 4.5 units (the distance between the maximum and minimum points). Therefore, we have B = 2*pi/4.5.
To determine A, we can use the fact that the amplitude is half the distance between the maximum and minimum points, which is 0.5*(5-(-4)) = 4.5. Therefore, we have A = 4.5/2 = 2.25.
Substituting these values into the equation for g(x), we have:
g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4
Therefore, the exact expression for g(x) is:
g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4.
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What would be a counterexample to the statement that all supplementary angles are linear pairs?
A, B, C, D?
Answer:
so friend supplementary angles are thise whuch are 180 degree
Step-by-step explanation:
so the supplements are
a, c, d
The perimeter of the TCL 3-Series Roku Smart TV is 112 inches. The width of the TV is 16 inches greater than its height. Find the width and the height of the TV.
Answer: Height = 20 inches, Width = 36 inches
Step-by-step explanation:
Let the height be \(h\) and the width be \(h+16\).
Using the formula for the perimeter of a triangle,
\(2(h+h+16)=112\\\\2(2h+16)=112\\\\2h+16=56\\\\2h=40\\\\h=20 \implies h+16=36\)
what would be your first step in completely factoring 6a^2-15a+6
The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).
To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).
In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:
3(2a^2 - 5a + 2)
Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.
The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:
3(2a - 1)(a - 2)
Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).
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What is an equation of the line that passes through the points (6, 4) and (4, 1)
Answer:
m = -5 / -2 = 2.5
Determine the area of the shape below. The area is
square centimeters.
6 cm
4 cm
2 cm
3 cm
Answer:
144
Step-by-step explanation:
6 times 4 = 24
24 times 2 = 48
48 times 3 = 144
20) Sue had these expenditures for her car: April, $138.49; May, $356.75; June, $272.35; July, $417.28. What was
her average monthly expense for her car?
a.) $276.22
b.) $296.22
c.)$286.22
Could you help my math homework? ;-;
Please
Answer:
1 when -2<x<2
-1 when |x|>2
Step-by-step explanation:
Hope it helps
the farmer has a field of 300m.he want to fence it with 4 rounded barbed wire . what is the total length of wire he requires
Answer:
1,200 meters.
Step-by-step explanation:
Given that the farmer has a field of 300 meters and he wants to fence it with 4 rounded barbed wire, to determine what is the total length of wire he requires, the following calculation must be performed:
300 x 4 = X
1,200 = X
Thus, the farmer needs 1,200 meters of barbed wire to be able to fence his entire field.
I need help asap, giving 30 points and brainiest!
Answer:
\(x=11\)
Step-by-step explanation:
It is a linear pair
\(7x + 12 + 8x + 3 = 180\)
\(15x + 15 = 180-15\\15x = 165\)
\(x=11\)