Answer:
4th option 0,5,10,15
Step-by-step explanation:
Let's check if the first choice is geometric.
2*3 = 6. is 6*3 = 18, yes! is 18*3 = 54. Yep! its geometric
the second option multiplies by -2, it is geometric
the third option multiplies by 1/5, it is geometric
The fourth option does not multiply by anything common, it is Not geometric
Answer:
0,5,10,15 is not the sequence of geometric.
Generally, to check whether a given sequence is geometric, one simply checks whether successive entries in the sequence all have the same ratio. The common ratio of a geometric series may be negative, resulting in an alternating sequence.
Step-by-step explanation:
This is totally correct!
The question mark in the multiplication table below represents a quadratic expression of the form n² + an + b. Work out the values of a and b. Example X x+3 x+2 x+1 x²+5x+6 x² + 4x +3 x+4 x²+6x+8 x²+5x+4 ? n²-9 n²-9n+20 n²-n-12 4
The correct answer is n²+n+4. The quadratic expression in the multiplication table is of the form n² + an + b.
What is quadratic?Quadratic is a type of equation involving one or more variables. It is an equation in the form of ax2 + bx + c = 0, where a, b, and c are constants and x is an unknown variable.
For the first quadratic equation x² + 5x + 6, we can see the coefficients of the n², n and constant terms are 1, 5 and 6 respectively. For the second quadratic equation x² + 4x + 3, the coefficients of the n², n and constant terms are 1, 4 and 3 respectively.
The third quadratic equation x² + 6x + 8 has the coefficients of the n², n and constant terms as 1, 6 and 8 respectively. The fourth quadratic equation x² + 5x + 4 has the coefficients of the n², n and constant terms as 1, 5 and 4 respectively.
Now, if we compare the coefficients of the n², n and constant terms with the last quadratic equation n² - 9n + 20, we can see that the coefficients of the n², n and constant terms are 1, -9 and 20 respectively.
Therefore, the correct answer is n²+n+4.
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Xy^-3
How do you solve this problem
Answer:
Unknown, Solve for x or y?
Step-by-step explanation:
You need to elaborate on your answer... sorry.
In the meantime, here is Microsoft Math Solver, With your equations:
https://mathsolver.microsoft.com/en/solve-problem/x-y%20%3D%20%203
You can use this tool next time :)
Have a great day,
Nate
Rex has four cards numbered 1 to 4. Nina has five cards numbered 1 to 5. Alex wants to take a number 3 card. He cannot look at the cards. Is he more likely to take a '3' card from Rex or from Nina?
Step-by-step explanation:
To determine whether Alex is more likely to take a '3' card from Rex or from Nina, we need to compare the probabilities of drawing a '3' card from each of them.
Rex has four cards numbered 1 to 4, but we don't know the specific arrangement of the cards. Therefore, the probability of drawing a '3' card from Rex depends on how the cards are distributed. If Rex has a '3' card among his four cards, the probability of drawing it would be 1/4.
Nina, on the other hand, has five cards numbered 1 to 5. Since there is a '3' card among Nina's cards, the probability of drawing a '3' card from her is 1/5.
Comparing the probabilities, we can see that the probability of drawing a '3' card from Rex is higher (1/4) compared to drawing it from Nina (1/5). Therefore, Alex is more likely to take a '3' card from Rex
molly bought 4.25 pounds of fish $10.20 . how much is six pounds at the same rate ?
Plz help me. Jose travels 34 miles from home to work on a daily basis. If she takes up a job that is 1 and 1/2 times as far as her old job, how many miles would she be traveling? Solve the problem. You MUST explain your reasoning.
Answer:
I think it is either 85 or 51 because the question was not specific
Step-by-step explanation:
I am not entirely sure if you mean Jose changed jobs or added a new job on top but i will do both.
34/2=17
17+34=51
OR
51+34=85
Answer:
51 miles.
Step-by-step explanation:
That would be 34 * 1 1/2
= 34 * 3/2
= 17 * 3
= 51 miles.
is - 3/10 rational or irrational?
Answer:
rational
Step-by-step explanation:
Answer:
The fraction 3/10 is a rational number. All fractions are rational numbers.
a large school district held a district-wide track meet for all high school students. for the 2-mile run, the population of female students participating had a mean running time of 8.8 minutes with standard deviation of 3.3 minutes, and the population of male students participating had a mean running time 7.3 minutes with standard deviation of 2.9 minutes. suppose 8 female students and 8 male students who participated in the 2-mile run are selected at random from each population. let x¯f represent the sample mean running time for the female students, and let x¯m represent the sample mean running time for the male students. a. Find and interpret the mean and standard deviation of the sampling distribution of the difference in sample means xF − xM. b. Find the probability of getting a difference in sample means xF − xM that is less than 0.
a. The mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes.
b. The probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20
What is Probability?
Probability is a field of mathematics that calculates the likelihood of an experiment occurring. We can know everything from the chance of getting heads or tails in a coin to the possibility of inaccuracy in study by using probability.
a. The mean of the sampling distribution of the difference in sample means, xF - xM, is equal to the difference of the population means, μF - μM = 8.8 - 7.3 = 1.5 minutes.
where σF and σM are the standard deviations of the populations of female and male students, respectively, and nF and nM are the sample sizes of female and male students, respectively.
\(Standard\ Deviation = \sqrt{3.3^2/8 + 2.9^2/8} \\\\Standard\ Deviation = \sqrt{{2.75} }\\\\Standard\ Deviation = 1.65\ minutes\)
So, the mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes, respectively.
b. The probability of getting a difference in sample means xF - xM that is less than 0 can be found using a standard normal distribution table. First, we need to standardize the difference in sample means xF - xM by subtracting the mean and dividing by the standard deviation:
z = (xF - xM - (μF - μM)) / standard deviation
z = (0 - 1.5) / 1.65 = -0.91
Looking up -0.91 in a standard normal distribution table, we find that the probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20.
So, there is a 20% probability of getting a difference in sample means xF - xM that is less than 0.
Hence, The mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes and probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20.
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4x - 7 + 3x = 35 what are all the properties for this asap
Answer:
x = 6
Step-by-step explanation:
4x - 7 + 3x = 35
Collect like terms;
7x - 7 = 35
Add 7 to both sides;
7x = 42
Divide both sides by 7;
x = 6
tom throws a fair six sided dice. choose the word that best describes the likelihood that the dice will land on a number which is 2 or more.
impossible
unlikely
evens
likely
certain
Answer:
Likely or you could use possibly
sketch the region enclosed by the given curves. y = cos(x), y = sin(2x), 0 ≤ x ≤ 2
To sketch the region enclosed by the curves y = cos(x) and y = sin(2x) for the interval 0 ≤ x ≤ 2, we can follow these steps:
1. Plot the graphs of the two functions separately on the given interval.
For y = cos(x):
- Start by marking key points on the graph: (0, 1), (π/2, 0), (π, -1), (3π/2, 0), (2π, 1).
- Connect the points smoothly to create a curve that oscillates between 1 and -1.
For y = sin(2x):
- Start by marking key points on the graph: (0, 0), (π/4, 1), (π/2, 0), (3π/4, -1), (π, 0), (5π/4, 1), (3π/2, 0), (7π/4, -1), (2π, 0).
- Connect the points smoothly to create a curve that oscillates between 1 and -1, but with twice the frequency of the cosine curve.
2. Identify the region enclosed by the curves.
- The region enclosed by the curves is the area between the two curves from x = 0 to x = 2.
3. Shade the region enclosed by the curves.
- Shade the area between the two curves on the interval 0 ≤ x ≤ 2.
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I need this question answered
7p − p = 18 2) −5n − 4n = −9
Answer:
\( \boxed{ \bold{ \sf{ \boxed{ p = 3}}}} \)\( \boxed{ \bold{ \sf{ \boxed{n = 1}}}}\)
Step-by-step explanation:
1. \( \sf{7p - p = 18}\)
Collect like terms
⇒\( \sf{6p = 18}\)
Divide both sides of the equation by 6
⇒\( \sf{ \frac{6p}{6} = \frac{18}{6} }\)
Calculate
⇒\( \sf{p = 3}\)
2. \( \sf{ - 5n - 4n = - 9}\)
Collect like terms
⇒\( \sf{ - 9n = - 9}\)
Divide both sides of the equation by -9
⇒\( \sf{ \frac{ - 9n}{ - 9} = \frac{ - 9}{ - 9} }\)
Calculate
⇒\( \sf{n = 1}\)
Hope I helped!
Best regards!!
how many terms of the series 1+4+7........will add up to 425?
Answer:
17 terms
Step-by-step explanation:
Let the number of terms be n which will add up to 425.
So, 425=(n/2)*(2+(n-1)*3). 850=n*(3n-1), n=17 or - 50/3 but n can't be negative, so the answer is n=17
There are 4 consecutive odd integers that have a sum of -8. What is the least of theseintegers?
Odd integers are:
1, 3, 5, ...
They are spaced "2" units apart.
So,
if the first odd number is "x",
the next is "x + 2"
the third one is "x + 2 + 2"
the fourth one is " x + 2 + 2 + 2"
Thus, the four consecutive odd numbers are:
\(\begin{gathered} x \\ x+2 \\ x+4 \\ x+6 \end{gathered}\)We sum the expressions and equal to -8. Then solve for x:
\(\begin{gathered} x+x+2+x+4+x+6=-8 \\ 4x+12=-8 \\ 4x=-8-12 \\ 4x=-20 \\ x=-\frac{20}{4} \\ x=-5 \end{gathered}\)So,
This is the least integer out of the 4:
x = - 5Compare the expression 3 8 and 3 5 x 3 3 using the properties of multiplication what do you notice
Using the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power, it can be seens that that the two expressions are equal to each other.
The properties of multiplication state that when multiplying two expressions with the same base, we can add their exponents together. This means that 3 to the fifth power x 3 to the third power is equal to 3 to the eighth power.
In mathematical notation, this looks like:
3^8 = 3^5 x 3^3
Using the properties of multiplication, we can add the exponents together:
3^8 = 3^(5+3)
Simplifying the exponent:
3^8 = 3^8
This shows that the two expressions are equal to each other. Therefore, we can conclude that 3 to the eighth power and 3 to the fifth power x 3 to the third power are the same value.
Note: The question is incomplete. The complete question probably is: Use the properties of multiplication to compare the expressions 3 to the eighth power and 3 to the fifth power x 3 to the third power.
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Use the fundamental identities to find the value of the trigonometric function. Find cot 8, given that csc 0 = - and is in quadrant III. A7-√33 33 B) -√33 4√33 D) √33
To find the value of cot 8, we can use the fundamental trigonometric identity: cot(theta) = 1 / tan(theta).
Since we know that csc(0) = -sqrt(33) and it is in quadrant III, we can determine the value of sin(0) and cos(0) using the Pythagorean identity: sin^2(theta) + cos^2(theta) = 1.
In quadrant III, sine is negative, so sin(0) = -sqrt(33).
Using the Pythagorean identity, we can calculate cos(0):
sin^2(0) + cos^2(0) = 1
(-sqrt(33))^2 + cos^2(0) = 1
33 + cos^2(0) = 1
cos^2(0) = 1 - 33
cos^2(0) = -32
Since cosine is positive in quadrant III, we take the positive square root:
cos(0) = sqrt(-32) = sqrt(32)i = 4sqrt(2)i
Now, we can find the value of tan(0) using the definition: tan(theta) = sin(theta) / cos(theta):
tan(0) = sin(0) / cos(0)
tan(0) = (-sqrt(33)) / (4sqrt(2)i)
tan(0) = -sqrt(33) / (4sqrt(2)i) * (sqrt(2)/sqrt(2))
tan(0) = -sqrt(33) * sqrt(2) / (4sqrt(2)i * sqrt(2))
tan(0) = -sqrt(66) / (4i)
tan(0) = -sqrt(66) / 4i
Finally, we can find cot(8) using the reciprocal property:
cot(8) = 1 / tan(8)
cot(8) = 1 / (-sqrt(66) / 4i)
cot(8) = 1 * (-4i) / (-sqrt(66))
cot(8) = 4i / sqrt(66)
Therefore, the value of cot 8 is 4i / sqrt(66).
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Find the slope with these ordered pairs.
(0,6), (1,8) m =
Answer:
2
Step-by-step explanation:
Slope is (y2-y1)/(x2-x1)
Answer:
2
Step-by-step explanation:
(y2)8- (y1)6= 2
(x2) 1- (x1) 0 = 1
2/1 =2
Final answer would be 222222
Andre is flying a kite. Given
A
C
=
18
inches and
B
E
=
9
inches, calculate the area of the kite.
The figure shows a kite UpperWord ABCD. Dotted lines are drawn from Upper A to Upper C and from Upper B to Upper D which intersect at a point labeled as Upper E. The length of the sides UpperWord AB and UpperWord AD is labeled as 9 decimal point 8 inches and the length of the sides UpperWord BC and UpperWord DC is labeled as 16 decimal point 6 inches.
Area of the kite ABCD is 162 inch2
In geometry, a kite, or deltoid, or a quadrilateral with two disjoint pairs of congruent adjacent sides, in contrast to a parallelogram, where the congruent sides are opposite.
Formula used to find the area of the kite=
½ D1 D2 = area of kite [formula used]
Here, D1 = longer diagonal =AC
D2 = shorter diagonal = BD
According to the question in kite ABCD, AC = 18 inches and BD= BE+ED = 9+9 = 18 inches (data given)
½ D1 D2 = ½ *18*18
= 162 inch2
Therefore, the Area of the kite ABCD is 162 inch2
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PQ = 9x - 31 and QR = 43; Find x.
Answer:
We can't solve this problem if there is no context given. Since nothing is mentioned, it is safe to assume that PR and QR are line segments. Based on the nomenclature, it may be a collinear system of 3 points: P, Q and R. The equation should be:
PR = PQ + QR
Assume x is referred to line PQ
(9x - 31) = x + 43
9x - x = 43 + 31 = 74
8x = 74
x = 9.25
A. 30°
B. 40°
C. 50
D. 60°
pls help
Answer:
D
Step-by-step explanation:
it is because 60 is the estimate of 360 degree census.
Mrs. Pahulick went to Super Buy to purchase the iPhone 12, which is typically $999.99. For one day only, it is on sale at a 15% discount. What is the sale price with 6% tax. Round to the nearest cent.
Answer:
$900.10
Step-by-step explanation:
15 percent of 999.99 = $849.15
(999 x 15)/100 = $149.85
849.15 with 6 percent sales tax is 900.10
In the given figure, find the value of x and y ?
Step-by-step explanation:
please mark me as brainlest
Answer:
x = 33 , y = 82
Step-by-step explanation:
The sum of the 3 angles in Δ ACD = 180° , then
x = 180 - (40 + 107) = 180 - 147 = 33
x + 65 + y = 180° ( sum of angles on a straight line ) , then
33 + 65 + y = 180
98 + y = 180 ( subtract 98 from both sides )
y = 82
in a random sample of 565 college students, 150 had part-time jobs. find the margin of error for the 92.5 percent confidence interval used to estimate the population proportion.
The margin of error is 0.033.
What does the term "margin of error" mean simply?
A margin of error is a statistical term that takes into account the discrepancy between the outcomes of a random survey sample and the expected results.
Simply said, you can determine how unpredictable data and research results are by looking at the margin of error.
Sample size: 565
Number of success: 150
The sample proportion is calculated as follows.
P = X/n
= 150/565
= 0.2654
The sample proportion is 0.2654
The margin of error is calculated as follows.
M.O.E. = \(Z_{\alpha /2} * \sqrt{\frac{P( 1 - P)}{n} }\)
= \(1.780 * \sqrt{\frac{0.2654( 1 - 0.2654}{565} }\)
= 0.033
The margin of error is 0.033.
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adding and subtracting fractions with whole numbers
The steps for adding and subtracting fractions with whole numbers:
- Write the whole number in the form of a fraction.
- Convert the fractions to like fractions.
- Add/Subtract the numerators while the denominator remains the same.
We know that the fraction is used to represent the portion or part of the whole thing.
The fraction has two parts: numerator and denominator.
The top part of fraction is numerator and the bottom part of fraction is denominator.
consider a fraction 1/8.
Here, numerator is 1, denominator is 8
When certain thing is divided into 8 equal parts then each part of is represented by fraction1/8
In case of adding and subtracting fractions with whole numbers:
Let us assume that 'a' represents the whole number and \(\frac{x}{y}\) be fraction
First we write the whole number in the form of a fraction.
So, a = \(a = \frac{a}{1}\)
Now we find the LCM of the denominators of fractions \(\frac{a}{1} ,\frac{x}{y}\) and then convert the given fractions to like fractions.
Let m be the LCM of the denominators of fractions \(\frac{a}{1} ,\frac{x}{y}\)
So, the fractions becomes \(\frac{a}{m} ,\frac{x}{m}\)
Last we Add/Subtract the numerators while the denominator remains the same.
i.e., \(\frac{a\pm x}{m}\)
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The complete question is:
How to add /subtract fractions with whole numbers?
Refer to the figure for Problems 11-16. The radii of the circles are 2 inches, 4 inches, 6 inches, and 8 inches. Determine the probability that a point randomly chosen in the figure is in each described region. Write each probability as a percentage
The probability of:
a point randomly chosen in region A is 3/16 a point randomly chosen in region A or B is 1/4 a point randomly chosen in region B is 5/16 a point randomly chosen in regions A, B, or C is 9/16 a point randomly chosen in region C is 7What are the probabilities?The probabilities are found as follows:
Area of region A = πB² - πA²
Area of region A = π(4² - 2²)
Area of region A = 12π
The total area of the figure is the area of the largest circle with radius 8 inches:
Total area = π(8²)
Total area = 64π
The probability of a point randomly chosen in region A = 12π / 64π
The probability of a point randomly chosen in region A = 3/16
Area of region A or B = π(4²)
Area of region A or B = 16π
The probability of a point randomly chosen in region A or B = 16π / 64π
The probability of a point randomly chosen in region A or B = 1/4
Area of region B = π(6² - 4²)
Area of region B = 20π
The probability of a point randomly chosen in region B = 20π / 64π
The probability of a point randomly chosen in region B = 5/16
Area of region A, B, or C = πC²
The probability of a point randomly chosen in region A, B, or C = πC² / 64π
The probability of a point randomly chosen in region A, B, or C = 9/16
Area of region C = π(8² - 6²)
Area of region C = 28π
The probability of a point randomly chosen in region C = 28π / 64π
The probability of a point randomly chosen in region C = 7
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The area of a rectangle is 20 square meters. The length of the rectangle is (x-3) meters and the
width of the rectangle is (x-2) meters. Find the length and the width of the rectangle
Answer:22fy
Step-by-step explanation:
cause I got it right
I'm taking a practice exam and don't understand this can you help you may pick which question to do
Explanation:
Let's do a diagram of the triangles for better undestanding:
Angles M and P are congruent
Segments NO and QR are congruent
Angles N and Q are congruent
But we cannot say that segments MN and PR are congruent from this information.
Answer:
\(MN\cong PR\)
Suppose E⃗ =2A⃗ +E→=2A→+ 3B⃗ 3B→ where vector A⃗ A→ has components AxAx = 5, AyAy = 2 and vector B⃗ B→ has components BxBx = -3, ByBy = -5.
Therefore, the components of vector E⃗ are Ex = 1 and Ey = -11. Thus, E⃗ = (1, -11).
To solve this equation, let's break it down component-wise. Given:
E⃗ = 2A⃗ + 3B⃗
We can write the equation in terms of its components:
Ex = 2Ax + 3Bx
Ey = 2Ay + 3By
We are also given the components of vectors A⃗ and B⃗:
Ax = 5
Ay = 2
Bx = -3
By = -5
Substituting these values into the equation, we have:
Ex = 2(5) + 3(-3)
Ey = 2(2) + 3(-5)
Simplifying:
Ex = 10 - 9
Ey = 4 - 15
Ex = 1
Ey = -11
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Find the size of angle BAC Give your answer to 3 significant figures
Answer:
angle BAC = 50.5°
Step-by-step explanation:
To find the size of angle BAC, we will follow the steps below;
First, we will use Pythagoras theorem to find side AC
from the diagram, AB = 14 cm BC = 17 cm
Using Pythagoras theorem,
AC² = AB² + BC²
= 14² + 17²
=196 +289
=485
AC² = 485
Take the square root of both-side
AC = √485
AC = 22 .023
AC = 22.023 cm
angle <B = 90°
Using the sine rule,
\(\frac{sin A}{a}\) = \(\frac{sin B}{b}\)
A = ?
a=BC = 17 cm
B = 90°
b = AC = 22.023 cm
we can now [proceed to insert the values into the formula and then solve for A
\(\frac{sin A}{a}\) = \(\frac{sin B}{b}\)
\(\frac{sin A}{17}\) = \(\frac{sin 90}{22.023}\)
cross - multiply
22.023× sinA = 17× sin90
Divide both-side of the equation by 22.023
sin A = 17 sin90 / 22.023
sin A = 0.771920
Take the sin⁻¹ of both-side of the equation
sin⁻¹sin A = sin⁻¹0.771920
A = sin⁻¹0.771920
A≈ 50.5°
Therefore, angle BAC = 50.5°
if amount is 7,500, time is 2years and rate is 10% then find principal?
Answer:
Principal = $9,152.93
Step-by-step explanation:
A = $9,152.93
A = P + I where
P (principal) = $7,500.00
I (interest) = $1,652.93
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 7,500.00(1 + 0.1/12)(12)(2)
A = 7,500.00(1 + 0.008333333)(24)
A = $9,152.93
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $7,500.00 at a rate of 10% per year compounded 12 times per year over 2 years is $9,152.93.