Answer: 27
Step-by-step explanation:
Given
In the first sequence, the first term is [tex]a_1=15[/tex]
Common difference is [tex]d_1=4[/tex]
In the second sequence, the first term is [tex]b_1=18[/tex]
Common difference is [tex]d_2=3[/tex]
The nth term of the sequence is [tex]a_n=a+(n-1)d[/tex]
for the same number to appear on both sequence, the nth term must be equal
[tex]\Rightarrow 15+(n-1)4=18+(n-1)3\\\Rightarrow 3=(n-1)\\\Rightarrow n=4[/tex]
Put n=4
[tex]\Rightarrow 15+(4-1)4\\\Rightarrow 15+12=27[/tex]
Therefore, 27 is the first common term in both sequences.
Explain for brainliest (pog)
Answer:
b. exactly one solution
Step-by-step explanation:
-5(z+1)=-2z+10
(first, distribute the 5 into the parenthesis)
-5z-5=-2z+10
(next, move the variables to the left and constants to the right)
-5z+2z=10+5
(combine like terms)
-3z=15
(isolate to variable to find the solution)
z=-5
i hope this helps :)
Answer:
Here's an answer so you can give the other person brainliest :)
Step-by-step explanation:
Brigid has a 25-foot ladder she will use to paint the side of her house. What angle does the ladder need to make with house so she can reach 18 feet up the side of her house
The ladder needs to make an angle of approximately 54.7 degrees with the house in order for Brigid to reach 18 feet up the side of the house.
To determine the angle the ladder needs to make with the house, we can use the tangent function.
First, we'll need to determine the opposite side (the height that the ladder needs to reach) and the adjacent side (the distance from the base of the ladder to the house) of the triangle formed by the ladder and the house.
Opposite side = 18 feet
Adjacent side = 25 feet
We can then use the tangent function to find the angle:
tan(angle) = opposite / adjacent
Solving for the angle, we get:
angle = arctan(18/25) = approximately 54.7 degrees
Therefore, the ladder needs to make an angle of approximately 54.7 degrees with the house in order for Brigid to reach 18 feet up the side of the house.
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Eighteen of Susan's muffins weigh the
same as 15 of Tom's muffins. How many
of Susan's muffins weigh the same as
7 of Tom's muffins?
Answer: 8.4. So it has to be 8 muffin and you can’t have 0.4 of a muffi realistically.
Step-by-step explanation:
Where am I to put the points? help?
we know that a has to be a number less than 0 and c has to be a number greater than 0. so a has to go before the number 0 and b can go before or after 0, as long as it satisfies the equation
what is the radius of a circle whose circumference is 16π?
A. 32π
B. 16
C. 8 π
D. 8
Answer:
D
Step-by-step explanation:
Remark
The circumference of a circle is 2 * pi * r
Given
The circumference (C) = 16 * pi
Solution
2 pi r = 16 pi Divide by 2*pi
r = 16 pi / (2*pi)
r = 8
A rectangle has a length of 4 millimeters and an area of square 116 millimeters. What is the width? What is the perimeter?
Answer:
Width = 29mmPerimeter = 66mmStep-by-step explanation:
The area of a rectangle can be calculated by the formula:
= Length * Width
As we have the length and the area, we can make the width the subject of the formula to solve for it:
116 = 4 * width
Width = 116/4
= 29 mm
Perimeter is:
= Length + Length + Width + Width
= 4 + 4 + 29 + 29
= 66 mm
Please helpppppp
No links or I will report ❤️
Choose the correct trig ratio you would use to solve for the missing piece of the right triangle:
Find the roots of f(x)=x2+9x-36.
x = _____ or x = _____
Hi there!
[tex]\large\boxed{x = -12, 3}[/tex]
The roots of a function are when f(x) = 0, so:
0 = x² + 9x - 36
Find two numbers that multiply to -36 and add up to 9.
We get the numbers 12 and -3, so:
0 = (x + 12)(x - 3)
Set each equal to 0 to find the x value:
0 = x + 12
x = -12
0 = x - 3
x = 3
What is g(4) when given the function g(x) = 6x + 32?
Answer:
The value of g(4) of the given function is 56.
1. You have cup of flour in a bin and
7
-
2
8
-
3
cup of flour in a bag. To determine
whether you have enough flour for a
3
recipe that needs 1 cups of flour,
4
should you use an estimate, or is an
exact answer required? Explain.
The exact value is required. In this case, they don't have enough for 1 3/4 cups of flour.
How to express the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
From the information, the person had 2/3 cup of flour in a bin and 7/8 flour was still in the bag. In this case, it should be noted that they also wanted to know of they had enough for 1 3/4 cups of flour.
This will be calculated thus:
= 2/3 + 7 / 8
= 16/24 + 21/24
= 37 / 24.
= 1 13 / 24
This is not enough for 1 3/4 cups of flour.
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What is the product of 2p 7 3p2 4p 3?
The product of 2p 7 3p2 4p 3 is 756p7.
What is product in math?Product in math is the result of multiplying two or more numbers, variables, or algebraic expressions together. It is often denoted by the symbol 'x' or by juxtaposition, such as writing "ab" instead of "a x b". The product of two numbers is the same as the result of the first number multiplied by the second. Product is a fundamental concept in mathematics and is used in many different types of equations and calculations.
This can be calculated by multiplying the terms together.
First, multiply the terms in each parenthesis.
2p 7 is 14p, 3p2 is 9p2, and 4p 3 is 12p3.
Then, multiply the three terms together, 14p x 9p2 x 12p3, which equals 756p7.
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Tamika made a deposit of $1,800 into an account that earns annual simple interest. After 9 years, Tamika had earned $1,458 in interest. Assuming she did not make any additional deposits or withdrawals over the 9 years, find the simple interest rate of the account. No files please!
Answer:
0.09%
20.1 is too high
Match each function with its graph.
Answer:
66) C
67) D
68) A
69) B
Step-by-step explanation:
figure x out first for example in q 66
x=-1 , x =5
then look at the graph which graph pf those meets with those points and soo on.
Which of the following is the quotient of the rational expressions shown
below?
X/3x-1 divide x-2/2x
Answer: To divide two rational expressions, you need to first find the least common denominator (LCD) of the two expressions. The LCD is the least common multiple of the two denominators.
In this case, the rational expressions are x/(3x-1) and (x-2)/(2x). The LCD of these two expressions is (3x-1)(2x), which can be factored as 6x(x-1).
To divide the two rational expressions, you need to express each expression as a fraction with the LCD as the denominator.
The first expression, x/(3x-1), can be rewritten as (x * (2x))/(3x-1 * (2x)) = (2x^2)/(6x^2-2x).
The second expression, (x-2)/(2x), can be rewritten as ((x-2) * (3x-1))/(2x * (3x-1)) = (3x^2-3x+2)/(6x^2-2x).
To divide these two expressions, you can divide the numerators and the denominators separately:
(2x^2)/(6x^2-2x) ÷ (3x^2-3x+2)/(6x^2-2x)
= (2x^2) ÷ (3x^2-3x+2)
= (2/3)x^2 ÷ (x^2-x+2/3)
Therefore, the quotient of the rational expressions x/(3x-1) and (x-2)/(2x) is (2/3)
Step-by-step explanation:
The radius of a circle is 10 inches. What is the area of a sector bounded by a
180° arc?
r=10 in
180°
Give the exact answer in simplest form.
square inches
Answer:
25/2pi
Step-by-step explanation:
stg that is right
What is 2x+2y if x+2y=6 and x+y=10
Lisa sold 81 magazine subscriptions, which is 27% of her class's fundraising goal. How many magazine subscriptions does her class hope to sell?
Since 81 will be 27 percent of the total number of magazines you will find "81 is 27 percent of what number?"
81 is 27 percent of 300.
Therefore, her class hoped to sell 300 magazines in total!
50 Points!
Which linear equation shows a proportional relationship?
Answer: y=3/ 4x
Step-by-step explanation: in the linear equations y= Kx shows the proportionality relations . Where k is the proportionality constant which can be any number . x an y are the variables, so according to this answer will be y=3/
Answer:
y=3/4x
Step-by-step explanation:
Let's first define some words;
Proportional: If a line or a ray through the origin it proportional
Non proportional: If a line or ray that does not pass through the origin
Origin: Initial point or the starting point
Now we have define the words now let's graph these points by using Desmos.
Graphs are shown below.
Base on the graphs below we can see that;
y=3/4x pass through the origin which means the that this linear equation is proportional.
RevyBreeze
A wire that is 22 feet long connects the top of a pole to the ground. What is the height of the pole? Round to the nearest hundredth. 12.00 feet 19.60 feet 24.17 feet 38.40 feet
The question is incomplete. The complete question is :
A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole. What is the height of the pole? Round to the nearest hundredth.
12.00 feet
19.60 feet
24.17 feet
38.40 feet
Solution :
Given the length of the wire = 22 feet
Horizontal distance between the pole and the point where the wire is attached = 10 feet
Therefore, from Pythagoras theorem, we get from the figure :
[tex]$AB^2=OA^2+OB^2$[/tex]
[tex]$OA^2=AB^2-OB^2$[/tex]
[tex]$OA^2=22^2-10^2$[/tex]
[tex]$OA^2=484-100$[/tex]
[tex]$OA^2=384$[/tex]
[tex]$OA=\sqrt{384}$[/tex]
= 19.60 (approx)
Therefore, the height of the pole to the nearest hundredth is 19.60 feet.
Answer:
B.) 19.60
Step-by-step explanation:
edge 2021
Y=1/3(x-6)^2 standard form
Answer:
Step-by-step explanation:
Answer: Y = 1/3x^2 - 4x + 12
Step-by-step explanation:
Hope this helps, sorry I don't have an explanation...
Choose two statements that are true for this expression.
6x3 -8x^2- 40/y+21
Observing the given equation, The answer is The degree of polynomial is 3 and the equation has variables 'x' and 'y'.
What do you mean by equation?An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two expressions separated by an equals sign (=), for example, 2 + 2 = 4. Equations can be used to express relationships between different quantities and can be used to solve problems in many areas of mathematics and science. Equations can also be represented graphically, and they can be manipulated or transformed to make solving them easier.
What is degree of polynomials?A polynomial is a mathematical expression that is made up of a sum of powers in one or more variables. The degree of a polynomial is the highest power of the variable(s) present in the polynomial. For example, in the polynomial expression 3x^2 + 2x - 5, the highest power of x is 2, so the degree of the polynomial is 2. A degree 0 polynomial is a constant polynomial, which is just a number. The degree 1 polynomial is a linear equation, and degree 2 polynomial is a quadratic equation. In general, the degree of a polynomial can give an idea about the behavior of the polynomial function. As the degree of a polynomial increase, the shape of the function become more complex.
[tex]6x^3 - 8x^2 -\frac {40}{y} +21[/tex]
The degree of polynomial is 3.
The equation has variable 'x' and 'y' .
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HELP PLEASE !!!!!!!!
Answer:
1 - They are not proportional because the slope isn't proportional.
2 - If they were proportional they would be equivalent to each other but in this case they are not therefore, they are not proportional. (I don't really understand what Part B is asking)
Step-by-step explanation:
At 5 A.M. the temperature was -6°C.
At 2 P.M. the temperature was 7°C.
What was the change of temperature
between 6 A.M. and 2 P.M.?
Answer:
13 °C
Step-by-step explanation:
You just ask yourself how you got from -6 to +7. So in other words, what plus -6 gets you 7. I know that 13-6=7. the aswer is 13°C.
hope this helps!!
What is an example of an absolute value equation?
The absolute value of a given number is said to be the positive version of that number. For example, the absolute value of -5 is + 5, which can be written as: − I5 | = 5. Other examples of absolute values of numbers: |−9| = 9, |0| = 0, − |−12| = −12, etc.
Absolute Value Equation:
An absolute value function is an algebraic function whose variables lie within the absolute value bar. This function is also called the modulus function, and the most commonly used form of the absolute value function is f(x) = |x|, where x is a real number. In general, the absolute value function can be expressed as f(x) = a |x - h| + k, where a represents how much the graph stretches vertically, h represents the horizontal shift, and k represents the vertical shift of the graph for f(x) = |x|. represents If the value of 'a' is negative, the chart opens downwards, if positive, the chart opens upwards.
Now that we understand the meaning of the absolute value function, we understand the meaning of the absolute value equation f(x) = a |x - h|. + k and how the values of a, h, and k affect the value of the function.
'a' value determines how the graph of f(x) is stretched vertically.'h' value specifies horizontal displacement'k' value specifies the vertical displacementThe vertex (x) = a |x - h| + k of the absolute expression f is given by (h, k). You can also use the vertices of f(x) = a |x - h| Find + k using the formula (x - h) = 0 . When determining the value of x, substitute that value into the formula to find the value of k.
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Bacteria are important in the nitrogen cycle because they __________. Choose the correct answer.
Bacteria are important in the nitrogen cycle because they convert gaseous nitrogen into ammonia.
What is Nitrogen Cycle?The nitrogen cycle is a biogeochemical process through which nitrogen is changed into a variety of forms before returning to the atmosphere after first entering the soil and then organisms.
Given:
The cycle's most crucial component is bacteria.
The nitrogen is changed between states by bacteria so it can be utilised.
Different bacteria assist nitrogen change states when it is absorbed by the soil so that it may be absorbed by plants.
Then, the plants provide the nitrogen for the animals.
Hence, Bacteria convert gaseous nitrogen into ammonia.
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This is an example of a random sample: Surveying people in the library about whether they like to read books.
True
False
Answer:
True
Step-by-step explanation:
The sample space would be 2 possible outcomes, 1/2, 50% because it's a yes or no question
Answer: the answer is false
Step-by-step explanation: if you survey someone about whether they like books or not, you wouldnt really do it in a library! if youre in the library you like to read books, so it wouldnt really be a random sample!
(please can you give me brainliest!!!)
Tickets to a museum cost $17 each. For a field trip, the museum offer a $4 discount on each ticket. How much will tickets cost for 32 students cost?
Answer: 416
Step-by-step explanation:
Answer:
416
Step-by-step explanation: the tickets cost 17 each and there is a discount of $4 for a field trip so for that you do 17 minus 4 and you get 13 and then you will multiply 13 by 32 students and you get 416.
I hope this helps!!
5
1 point
Eliana measures outdoor temperatures in an area each day for a week at exactly 2:00 p.m. The
temperatures she records are all between 25 °C and 30 °C. Eliana concludes that the climate of the
area is tropical.
What is the most important reason why her conclusion might not be correct?
she made her conclusion based only on temperature and not also on precipitation
she took the temperature readings at the same time each day
she made her conclusion based on only one week of data instead of over a long period of
time
she did not calculate the average of her data
It is possible for a valid argument to have a false conclusion as long as at least one premise is false.
Conclusions might be true or erroneous.?When the premises are genuine, validity guarantees a true conclusion; when the premises are wrong, validity provides no assurance. Even in a legitimate argument, faulty premises might lead to either a true or erroneous conclusion. In many cases, it was chance rather than reasoning that led to the correct conclusion.
Avoid including: Important evidence or analysis that was not provided in the main body for a stronger conclusion paragraph.Generic closing phrases (for example, “In conclusion…”)Weak remarks that undercut your argument (for example, “There are valid points on both sides of this debate.”)
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EU Migration Study
Discussion Question: In the EU migration study, 257 of the 583 immigrants
sampled were male. Let's assume the Trump/Farage claim is true: 60% of all
immigrants are male (p = 0. 60). What is the probability of obtaining 257 or fewer
males in a sample of 583 immigrants? Does this probability make you doubt the
Trump/Farage claim? Why or why not?
P
Normal(up= 0. 6, Op=. 020)
ộ ô
Ô P
ppp
PPPP
ppppppp
Skew The
Scrint
This probability does not support the Trump/Farage claim that 60% of all immigrants are male.
What is the probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes, and how likely they are.
The probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found using the binomial probability formula, which calculates the probability of a specific number of successes (male immigrants) in a fixed number of trials (sample size) with a fixed probability of success (p = 0.60).
Using the binomial formula, the probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found by summing the probabilities of obtaining 257 males, 256 males, 255 males, etc. up to 0 males.
Using a binomial calculator, we can find that the probability of obtaining 257 or fewer males in a sample of 583 immigrants is about 0.04.
This probability is quite low, which suggests that it is unlikely to obtain 257 or fewer males in a sample of 583 immigrants if the proportion of male immigrants is actually 60%.
Therefore, this probability does not support the Trump/Farage claim that 60% of all immigrants are male.
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