Answer: sequences 1,5,7,9,10
Step-by-step explanation:
An arithmetic sequence is defined by a sequence of numbers with a common difference between terms. Technically if x=0 in q9 we have a constant sequence, which by definition is arithmetic. However if x does not equal 0 it is not arithmetic.
i need help on this question
Answer:
$43
Step-by-step explanation:
substitute x = 2.75 into f(x)
f(2.75) = 12(2.75) + 10 = 33 + 10 = 43
that is he earns $43
3x + 13 = 37
solve two step equations
Answer:
answer is 8
Step-by-step explanation:
Answer: [tex]x=8[/tex]
Step-by-step explanation:
[tex]3x+13=37\\\\3x=24\\\\x=8[/tex]
Graph the inequality on the axes below.
3x +2y-12
Maria i placing take in her garden in a traight line. The 10 take are equally paced. The firt and fourth take are 10 feet apart. How far apart, in feet, and the firt and tenth take
Answer:
30 feet
Step-by-step explanation:
You want to know the distance between the first and last of 10 stakes evenly spaced, such that the first and fourth are 10 feet apart.
GapsBetween stakes 1 and 4 are 3 gaps. Between stakes 1 and 10 are 9 gaps, which is 3 times as many.
The distance from the 1st to 10th stakes will be 3 times the 10 ft distance from the 1st to 4th stakes.
3 · 10 ft = 30 ft
The first and tenth stakes are 30 feet apart.
Find a mathematical model that represents the statement. (Determine the constant of proportionality.)
P varies directly as x and inversely as the square of y. (P = 23 - when x = 84 and y = 12.)
LARCOLALG10 3.5.059
A mathematical model that represents the statement using a constant of proportionality is; y = 25(x/y²)
How to find the constant of proportionality?The constant of proportionality is defined as the ratio of two proportional values that is said to be in a constant value.
We are told that P varies directly as x and inversely as the square of y.
Thus, we have;
P ∝ x/y²
We are now told that;
P = 28/3 when x = 84 and y = 15. Thus;
P = k(x/y²)
where k is constant of proportionality
Thus;
28/3 = k(84/15²)
k = (28 * 15²)/(84 * 3)
k = 25
Thus, the mathematical model is concluded as;
y = 25(x/y²)
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Complete question is;
Find a mathematical model representing the statement. (Determine the constant of proportionality.)
P varies directly as x and inversely as the square of y.
P = 28/3 when x = 84 and y = 15.
P=??
A vertical number line is given.
A vertical number line starting at negative 9 with tick marks every one-half unit up to 2. The value negative 5.5 is labeled.
The change in the value of a stock was plotted on a number line in the image. If 0 represents the original cost, which of the following is true about the plotted value?
The stock is −5.5 less than the original value, and the absolute value is 5.5.
The stock is 5.5 less than the original value, and the absolute value is 5.5.
The stock is −5.5 greater than the original value, and the absolute value is 5.5.
The stock is 5.5 greater than the original value, and the absolute value is 5.5.
Answer:
b) The stock is 5.5 less than the original value, and the absolute value is 5.5.
Step-by-step explanation:
First of all, let's make our number line. The question says you need it to start at -9, so we can assume that it will go until 10. It also wants us to make half-tick marks. (There is an image attached of the number line.)
It says that -5.5 is labeled, so do that on your number line.
Next, it explains that 0 is the original price. 0 is where the stock is starting at. This does not mean that the value of the stock is 0!!! (It means that NO MATTER what the price of the stock is, that is now considered 0.)
Now for the multiple choice, here's why all the answers are incorrect/correct.
a) If something is -5.5 less, it's the same as subtracting a negative number- which makes it positive!! SO this would mean that it added value.
b) Correct! Since it value is lower by 5.5, it's 5.5 less than the og value.
c) Since it's -5.5 greater, that's like adding a negative number: it's the same as subtracting. I suppose this is technically correct, but it's weird.
d) This one says's it's 5.5 greater, which is totally wrong. The value is decreasing, not increasing!
All of them say the absolute value is 5.5. This is correct. Absolute value is the distance from 0, and -5.5 is 5.5 units away from 0. (put simply, absolute value is just making the number positive.
hopefully this makes sense and helps you!!
Identify the independent and dependent variable in the ituation. During the winter, a trucking company hip produce from California to New York. The more produce the company need to hip, the more trucker it will hire. Group of anwer choice
Independent: the number of trucker the company will hire; Dependent: the amount of produce the company need to hip
Independent: the amount of produce the company need to hip; Dependent: the number of trucker the company will hire
The amount produced is the independent variable and the number of truckers is the dependent variable. So, option 2 is the correct answer.
Independent variables are those variables that do not require any other quantity/variable in order to determine their value. On the other hand, dependent variables do require another such variable.
In the given problem, the amount of product does not depend on any other factor. This means it is independent of any other variable. Meanwhile, the number of truckers depends on the amount produced. This makes it the dependent variable. So, option 2 is the answer here.
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There are 25 animal at a farm. 8 of the animal at the farm are cow. What percentage of the animal at the farm are cow?
Answer:
32%
Step-by-step explanation:
[tex]\frac{8}{25} \times 100=32\%[/tex]
Answer:
Step-by-step explanation:
32%
X~N(335, 50).
Find the z-score corresponding to an observation of 284.
-1.02
6.7
1.02
-6.7
The z-score corresponding to an observation is -1.02
From the given data μ=335
σ=50
X=284
It is a way to compare the results from a test to a “normal” population.
If X is a random variable from a normal distribution with mean (μ) and standard deviation (σ), its Z-score may be calculated by subtracting mean from X and dividing the whole by standard deviation.
Z-score formula is X- μ/σWhere, x = test value
μ is mean and
σ is SD (Standard Deviation)
For the average of a sample from a population ‘n’, the mean is μ and the standard deviation is σ.
X=284 now we have to find Z score
so from the formula the Z score corresponding to observation X=284 is we have
Z=X- μ/σ
=[tex]\frac{284-335}{50}[/tex]=-1.02
Therefore, the z-score is -1.02.
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a researcher at a major hospital wishes to estimate the proportion of the adult population of the united states that has high blood pressure. how large a sample is needed in order to be 99% confident that the sample proportion will not differ from the true proportion by more than 5%?
For the sample to be 99% confident and sample proportion to not differ more than 5% the sample size is 664 .
The term Sample Size is defined as number of observations that is used for determining estimations of a given population .
it is given that , sample proportion should not differ by 5% ,
that means , the Margin of Error (ME) = 0.05 .
Since , the prior information is unknown
we assume the sample proportion(p) = 0.05 .
and level of significance (α) ⇒ 0.01 ;
By using the z table ,critical value for 99% confidence interval is = 2.576
The sample size(n) can be calculated by the formula ,
n = p(1 - p)[(critical value)/ME]² ;
substituting the values of p , critical value and ME in the above equation ,
we get ;
n = 0.05×(1 - 0.05)×[2.576/0.05]²
n = 0.25 × 2654.3104
n = 663.5776
n ≈ 664
Therefore , the required sample size is 664 .
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when choosing the play of the mat that you will use for an image, what are you choosing? a. the thickness of the mat b. the color of the mat c. the size of the mat d. the texture of the mat
When selecting the ply of the mat which we will use for an image, what we choose is the thickness of the mat. The correct answer is option A.
How to choose the right mat?The width of our mat really influences how our art is showed. A perfect rule of thumb is to select a mat which is at least 1 inch wider than our moulding. Many mats are 2-4 inches wide; usually, larger artwork can use a wider mat, and smaller artwork should be paired with a narrower mat.
Mats available in 4 ply (0.040 to 0.052″) and 8 ply (0.125″); but it does not mean all ply are the same. For instance, there are 0.052″ 4 ply and 0.040″ 4 ply. Double or triple 4 ply mats are possible also to be used in area of 8 ply mats to produce a similar effect.
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3. What is wealth?
[A] A person's ability to consume.
[B] A person's ability to borrow money.
[C] A person's liabilities.
[D] A person's ability to give away assets.
[E] None of these
use the graphs of f and g to graph h(x) = (f + g)(x). (graph segments with closed endpoints.)
When use the graphs of f and g to graph then, we find that
Now, h(x) = (f + g)(x)
As you know that different x values that must be taken into consideration so that the graph h (x).
At first, h (0) = f (0) + g (0) = 2 - 1 = 1
Now,
If h (1) = f (1) + g (1) =
3 + 0 = 3
Then, after proper calculation, now
Later as we know, hence
finally the answer is h (3) = f (3) + g (3)
= 2 + 0 = 2
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Multiply.
43 × 8.34
Enter your answer in the box.
Y’all help me
Answer:
358.62
Step-by-step explanation:
Answer:
358.62
Step-by-step explanation:
suppose the correlation matrix for three variables (v1, v2, and v3) is as seen here. what would be the best conclusion regarding the relationships between the variables?
the three vectors are linearly dependent and they cant generate a 3 dimensional vector subspace.
Lets take v1 = (1,0,0), v2 = (1,1,0) and v3 = (0,1,0). Neither of the vectors are a multiple of the other, however they dont generate R³ because for example the vector (0,0,1) is not a linear combination of v1, v2 and v3.
Not that, despite not being a multiple of v1 or v3, v2 is a linear combination of v1 and v3, because it is the sum of both of them. Therefore, the three vectors are linearly dependent and they cant generate a 3 dimensional vector subspace.
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When implified, the expreion (x Supercript one-eighth Baeline) (x Supercript three-eighth Baleline) i 12. Which i a poible value of x?
The excretion Superscript one-eighth Beeline is
[tex]\left(x^{\frac{1}{8}}\right)\left(x^{\frac{3}{8}}\right)=12[/tex]
What is exponential identity?
An example of an exponential function is the growth of bacteria. Some bacteria double every hour. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours. This can be written as f(x) = 2x.
To find, the possible value of x = ?
[tex]\begin{aligned}& \therefore\left(x^{\frac{1}{8}}\right)\left(x^{\frac{3}{8}}\right)=12 \\& \Rightarrow x^{\frac{1}{8}}+\frac{3}{8}=12\end{aligned}[/tex]
Using the exponential identity
,[tex]\begin{aligned}& a^m a^n=a^{m+n} \\& \Rightarrow x^{\frac{1+3}{8}}=12 \\& \Rightarrow x^{\frac{4}{8}}=12 \\& \Rightarrow x^{\frac{1}{2}}=12\end{aligned}[/tex]
Squaring both sides, we get
[tex]\begin{aligned}& \left(x^{\frac{1}{2}}\right)^2=(12)^2 \\& \Rightarrow x^{\frac{1}{2} \times 2}=144 \\& \Rightarrow x=144\end{aligned}\therefore The possible value of x=144[/tex]
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a) Change 2 out of 10 to a percentage.
Answer:
20%
Step-by-step explanation:
[tex]\frac{2}{10}[/tex] x 100 = [tex]\frac{200}{10}[/tex] = 20%
make x the subject of q^2 = x - m^2
To make x the subject of the equation q^2 = x - m^2, we can start by adding m^2 to both sides of the equation:
q^2 + m^2 = x
We can then rearrange the terms to get x on the left side:
x = q^2 + m^2
This is the equation with x as the subject.
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What is the length of rs? 16 units 18 units 25 units 46 units
Answer:
Step-by-step explanation:
Answer: 25 units
Step-by-step explanation:
Mary' peed i inverely related to her drive home. Mary drive home from work in 40 minute driving 55mph. If Mary need yo get home 15 minute earlier, how fat doe he need to drive
To determine Mary's required speed, we need to first understand the relationship between speed and time.
If Mary's speed is inversely related to her drive home, then this means that as her speed increases, her drive time decreases, and vice versa. In other words, the drive time is inversely proportional to the speed. We can represent this relationship using the equation t = k/s, where t is the drive time, s is the speed, and k is a constant. If we plug in the given values, we get t = 40 minutes = k/55 mph.
Now, if Mary wants to arrive home 15 minutes earlier, we can set the desired drive time equal to 25 minutes (40 minutes - 15 minutes) and solve for the required speed. Substituting this value into the equation above, we get s = k/(25 minutes) = (55 mph)/(25 minutes) = 2.2 mph.
Therefore, Mary needs to drive at a speed of 2.2 mph in order to arrive home 15 minutes earlier. Note that this answer is not realistic, as it is much lower than the speed limit on most roads. This suggests that it may not be possible for Mary to arrive home 15 minutes earlier without breaking the law or increasing her risk of an accident.
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Complete Question:
Mary's speed is inversely related to her drive home. Mary drives home from work in 40 minutes driving 55mph. If Mary needs to get home 15 minutes earlier, how fast dose she need to drive?
Which numbers make a true statement when placed in the box? 11.436>
A:11.422
B:11.484
C:11.621
D:11.286
Answer:
A and D
Step-by-step explanation:
> means larger than. 11.436 is larger than 11.422 and 11.286, but not 11.484 or 11.621.
a jar contains 10 red marbles numbered 1 to 10 and 12 blue marbles numbered 1 to 12. a marble is drawn at random from the jar. find the probability of the given event. write your answers as reduced fractions.
The probability of drawing a red marble from the jar is 5/11 and the probability of drawing a blue marble from the jar is 6/11.
There are 22 marbles in the jar in total, 10 of which are red and 12 of which are blue. To find the probability of drawing a red marble, we can use the formula for probability:
Probability = Number of favorable outcomes / Total number of outcomes
In this case, the number of favorable outcomes is 10 (the number of red marbles), and the total number of outcomes is 22 (the total number of marbles in the jar). Plugging these values into the formula, we get:
Probability of drawing a red marble = 10/22
This fraction can be reduced to 5/11 by dividing both the numerator and denominator by 2. So, the probability of drawing a red marble from the jar is 5/11.
To find the probability of drawing a blue marble, we can use the same formula:
Probability = Number of favorable outcomes / Total number of outcomes
In this case, the number of favorable outcomes is 12 (the number of blue marbles), and the total number of outcomes is 22 (the total number of marbles in the jar). Plugging these values into the formula, we get:
Probability of drawing a blue marble = 12/22
This fraction can also be reduced to 6/11 by dividing both the numerator and denominator by 2. So, the probability of drawing a blue marble from the jar is 6/11.
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For a fundraiser, a group plans to sell x granola bars at $1.25 each and y bottles of water at $0.50 each. the group wants the revenue from the fundraiser to be at least $150. select the inequality that models the situation.
Answer:
[tex]1.25x + .50y \geqslant 150[/tex]
What's the equation in y=mx+ b form?
Answer:
y= 2x +4 is the equation
A Ferris wheel is 15 meters in diameter and boarded from a platform that is 5 meters above the
ground. The six o'clock position on the Ferris wheel,is level with the loading platform. The wheel
completes 1 full revolution in 6 minutes. How many minutes of the ride are spent higher than 17
meters above the ground?
With the bottom of the Ferris Wheel being 5 meters off the ground, and a radius of, r = 7.5 meters, the center of the Ferris Wheel is 12.5 meters off the ground.
A horizontal line through the center of the Ferris Wheel is 12.5 meters off the ground, and therefore the lower half of the Ferris Wheel is always below 14 meters.
The distance from the horizontal to 14 meters is 1.5 meters (14 - 12.5), and angle between the horizontal and a radius to 14 meters is sin(θ) = 1.5/7.5 or θ = sin-1(1.5/7.5) = 11.54o. This angle height is on both sides of the Ferris Wheel and therefore 180o + 2*11.54o = 203.07o is always under 14 meters. What is above 14 meters is 360o - 203.07o = 156.93o.
Since it takes 8 minutes for 1 revolution, (156.93o/360o)*8 min ≈ 3.5 min, the amount of time the Ferris Wheel is above 14 meters.
I do hope this is helpful! :)
(x³ - 16x² + 51x + 63) ÷ (x − 6)
Answer:
x^2-10x-9+9/x-6
quotient:x^2-10x-9
remainder:9
Step-by-step explanation:
Eric and Maria will file a joint return. Eric own hare of tock, and during the year, he received dividend from thi invetment. In early 2022, he received the following Form 1099-DIVThe couple' only other income wa from wage. Their taxable Income for the year wa $88,910How much tax will they pay on their dividend
The amount of tax that Eric and Maria will pay on their dividend income is 24% so 24% * $3,000 = $720. This amount will then be added to their taxable income of $88,910, and the resulting amount will be used to calculate the total tax they owe for the year.
The amount of tax that Eric and Maria will pay on their dividend income will depend on their marginal tax rate. In 2021, the federal tax rate is progressive, meaning that the higher their taxable income, the higher their marginal tax rate. For a taxable income between $80,251 and $171,050, the marginal tax rate is 24%. Therefore, the tax that Eric and Maria will pay on their dividend income will be 24% of the amount of dividend income they received. This amount will then be added to their taxable income of $88,910, and the resulting amount will be used to calculate the total tax they owe for the year.
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-(12/5a-7x+31/6b)-3x+3a b
Simplify
Answer:
3ab-12a/5-31b/6+4x
Step-by-step explanation:
Find the equation, in standard form, of the line passing through the points (3,-4) and (5,1).
A. 5x-2y=23
B. y=5/2x-23/2
c. 2x-3y=9
D. 5x+2y= 23
Only answers A, C, and D are in standard form, so we can rule B out immediately.
If you throw (5,1) into A, you get:
5(5) - 2(1) = 23
25 - 2 = 23
This checks, so A *might* be the answer.
If you throw (5,1) into C, you get:
2(5)-3(1) = 9
10 - 3 ≠ 9
This doesn't check, so it's not C.
If you throw (5,1) into D, you get:
5(5)+2(1) = 23
25 + 2 ≠ 23
This doesn't check, so it's not D.
The only standard form equation that (5,1) is a solution for is A.
Your answer is A.
10. Solve the system of
inequalities. (Note: you may need to
adjust your scale on the coordinate plane.)
-7x+3y ≤ 15
6x - 5y<12
The Corner Points are (-6.529, -10.235), (0, -2.4), (2, 0), (-2.143, 0), (0, 5)
What is Linear Inequality?
A linear inequality is a mathematical inequality that incorporates a linear function. A linear inequality contains one of the inequality symbols. It displays data that is not equal in graph form.
Solution:
Please refer to the Graph
So, we plotted the graph using the basic point method in which we found two point of the equation to draw a straight line.
And once we drawn the lines for the Inequalities we shaded the respective region
The Corner Points are (-6.529, -10.235), (0, -2.4), (2, 0), (-2.143, 0), (0, 5)
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