What is 121 divided by 18?

Answer:

\(54^\circ\)

Step-by-step explanation:

Given :

\(m\angle A=(2x+10)^{\circ}\)

\(m\angle B=(3x+15)^{\circ}\)

And angles \(\angle A\) and \(\angle B\) are complementary angles.

To find:

The measure of \(\angle B\).

Solution:

First of all, let us learn about complementary angles.

Complementary angles are the angles whose sum is equal to \(90^\circ\).

And we are given that angles \(\angle A\) and \(\angle B\) are complementary angles.

Therefore \(\angle A\) + \(\angle B\) = \(90^\circ\)

\(\Rightarrow 2x+10+3x+15=90\\\Rightarrow 5x+25=90\\\Rightarrow 5x=65\\\Rightarrow x =13\)

Putting the value in \(\angle B\).

\(m\angle B=(3\times 13+15)^{\circ} = 54^\circ\)

Therefore, the answer is \(\bold{\angle B = 54^\circ}\)

The answer is B. Since the graph increases by 4 on the y-axis as x increases by 1, the constant of proportionality is 4.

Answer:

The last one (2/3 and 8/12)

Step-by-step explanation:

When you reduce 8/12, you would get 2/3. If you multiply 2/3, you would get 8/12. Therefore, this ratio is proportional.

Have a good day :)

January is the month would be expected to have an average low temperature near 50ºF.

The correct answer is D.

The correct answer is D.

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This is the standard form of a quadratic function with leading coefficient 1, and  0 and -7.

If the zeros of a quadratic function are 0 and -7, then the function can be written as:

f(x) = a(x - 0)(x - (-7))

Simplifying:

f(x) = a(x)(x + 7)

To find the value of 'a', we can use one of the points on the parabola. Since we know that the x-intercept is 0, we can substitute x = 0 and y = 0 into the equation:

0 = a(0)(0 + 7)

0 = 0

This tells us that a can be any value, as long as it's not 0. Let's choose a = 1 for simplicity. Then the quadratic function with zeros 0 and -7 is:

f(x) = (x)(x + 7)

f(x) = x^2 + 7x

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Answer:

Length of the base of the given parallelogram is 14 units

Step-by-step explanation:

This question is incomplete; Find the complete question in the attachment.

Area of the parallelogram (A) = 140 square units

Height of the parallelogram (h) = 10 units

Since area of the parallelogram = Base × height

A = b × h

140 = b × 10

b = \(\frac{140}{10}\)

b = 14 units

Therefore, length of the base of the given parallelogram is 14 units.                                    

Answer:

14 units is the answer I got it right on khan academy.

Answer:

2

Step-by-step explanation:

25% is equal to 1/4, and 1/2 is 1/4 of 2

The students saw 17 perennial flowers. To find the number of perennial flowers the students saw, we need to calculate 85% of the total number of flowers observed.

Calculate 85% of 20

85% of 20 = (85/100)20 = 17

Therefore, the students saw 17 perennial flowers.

In the given problem, we are told that a biology class examined some flowers in a local meadow and observed a total of 20 flowers. The question asks us to determine the number of perennial flowers among the observed flowers. Perennial flowers are plants that live for more than two years and typically bloom year after year. They are known for their ability to survive through different seasons. To solve this problem, we need to find the percentage of perennial flowers among the total observed flowers.

To calculate the number of perennial flowers, we are given that 85% of the observed flowers were perennials. To find this, we multiply the total number of flowers (20) by 85% (0.85). This calculation gives us 17, which means that out of the 20 flowers examined, 17 of them were perennials. Therefore, the students saw 17 perennial flowers in the local meadow.

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The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

Answer:

12a

Step-by-step explanation:

\(\bold{Heya...}\)

3x + y = 11.

Let's solve for x ~

3x + y = 11

Step 1: Add -y to both sides.

\(\mathtt{3x \: + \: y \: + \: -y \: = \: 11 \: + \: -y}\)

\(\mathtt{3x \: = \: -y \: + \: 11}\)

Step 2: Divide both sides by 3.

\(\mathtt{\frac{3x}{3} \: = \: \frac{-y \: + \: 11}{3}}\)

↓ \(\underline{A \: n \: s \: w \: e \: r :}\) ↓

\(\bold{x \: = \: \frac{-1}{3}y \: + \: \frac{11}{3}}\)

Let's solve for x ~

5x - y = 21.

Step 1: Add y to both sides.

\(\mathtt{5x \: - \: y \: + \: y \: = \: 21 \: + \: y}\)

\(\mathtt{5x \: = \: y \: + \: 21}\)

Step 2: Divide both sides of 5.

\(\mathtt{\frac{5x}{5} \: = \: \frac{y \: + \: 21}{5}}\)

↓ \(\underline{A \: n \: s \: w \: e \: r :}\) ↓

\(\bold{x \: = \: \frac{1}{5}y \: + \: \frac{21}{5}}\)

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\(\huge{\bold{\red{\star{\pink{ItzSehzadi}}}}\)

Answer:

YZ=16

Explanation:

XWY=20 XWZ=40, XWY is half of XWZ, which means ZWY =20. Now you can say that the triangles are congruent through the AAS postulate, so you know that YZ-16 because of CPCTC

The measure of the line segment is 16 units after applying the concept of congruence.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

m∠XWY = 20, m∠XWZ = 40, and XY = 16

Triangle XWY and Triangle ZWY are congruent triangles

Angle X = Angle Z = 90 degrees

Angle XWY = 20 degrees

Angle YWZ = 20 degrees

Angle Y = Angle Y (By AAA)

XY = YZ

16 = YZ

Thus, the measure of the line segment is 16 units after applying the concept of congruence.

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Answer:

you have to add each

Step-by-step explanation:

A pole vaulter have to run at 18m/s speed.

According to the statement

The typical pole for pole vaulting is 17 feet long

we use the formula

1/2 m(v)^2 = mgh

Now rearrange the terms

(v)^2 = 2gh

here g = 10 and h = 15 then

substitute the values

(v)^2 = 2*10*15

v = 17.32

So, A pole vaulter have to run at 18m/s speed.

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Answer:

99 and 33

Step-by-step explanation:

let x and y be the 2 numbers, with x being the larger of the 2, then

x + y = 132 → (1)

x - y = 66 → (2)

add (1) and (2) term by term to eliminate y

(x + x) + (y - y) = 132 + 66

2x + 0 = 198

2x = 198 ( divide both sides by 2 )

x = 99

substitute x = 99 into (1) and solve for y

99 + y = 132 ( subtract 99 from both sides )

y = 33

the 2 numbers are 99 and 33

The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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The given statement, "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is False.

Explanation: Null space is a linear algebra term used to refer to the set of all vectors that are mapped to the null vector. The solution of Ax=0 is also referred to as the null space or kernel of A. Since the matrix is of size 4x4 and non-zero, it must have at least one non-zero eigenvalue. Any non-zero vector multiplied by this non-zero eigenvalue will result in a non-zero vector, even if it is in the nullspace of the matrix. Because of this, a non-zero 4 x 4 matrix's nullspace can have four or fewer linearly independent vectors.

Hence, the statement "The nullspace of a nonzero 4 x 4 matrix cannot contain a set of four linearly independent vectors" is false.

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Answer:

Step-by-step explanation:

Given the inequality expression |x| < a. The two cases for solving the expression are x<a and -x < a (or x>-a)

Note that the absolute value of a number will return both its positive and negative value. That's why the value of x i.e |x| returns both x and -x in the expression above.

The connecting word of the expression is that 'the absolute value of variable x is less than a' where a can take any value.

Answer:

e, f

Step-by-step explanation:

A measurement of variability is an overview of the amount of dispersion  in a dataset. The measures that can describe the variation on a data set are Range, Interquartile Range, Variance, and Standard Deviation.

So ,The among the given options the e. Interquartile range f. Range

Range of dataset is the difference between the larges and smallest elements in the dataset .

The middle of the data between the upper and lower quartiles are called the inter-quartile range. That means that 50 percent of data points between Q1 and Q3 are included within the interquartile range.

Answer:

A

Step-by-step explanation:

the claim aligns with the null hypothesis, as both assert the absence of an effect, difference, or relationship between variables.

The claim and the null hypothesis are the same when the claim being made is that there is no significant difference or relationship between variables or that there is no effect or impact of a particular factor. In other words, the claim asserts that the null hypothesis is true.

For example, if the null hypothesis (H₀) states that there is no difference between the means of two groups, the corresponding claim would be that the means are indeed equal. Similarly, if the null hypothesis states that there is no correlation between two variables, the claim would be that there is indeed no significant correlation.

In such cases, the claim aligns with the null hypothesis, as both assert the absence of an effect, difference, or relationship between variables.

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The method involves using the terms p(n+2), p(n+1), and pn to obtain an accelerated estimate of the limit. Without these terms, we cannot apply Aitken's method accurately.

To generate the first five terms of the sequences using Aitken's Δ² method, we'll apply the recurrence relation for each given sequence. Here are the calculations for each case:

(a). Sequence: pn = (2 - e * pn-1 + pn-1^2) / 3, n ≥ 1, with p0 = 0.5

Term 1: p1 = (2 - e * p0 + p0^2) / 3 = (2 - e * 0.5 + 0.5^2) / 3

Term 2: p2 = (2 - e * p1 + p1^2) / 3

Term 3: p3 = (2 - e * p2 + p2^2) / 3

Term 4: p4 = (2 - e * p3 + p3^2) / 3

Term 5: p5 = (2 - e * p4 + p4^2) / 3

Perform the above calculations to find the exact values of p1, p2, p3, p4, and p5.

(b). Sequence: pn = (e * pn-1 / 3)^(1/2), n ≥ 1, with p0 = 0.75

Term 1: p1 = (e * p0 / 3)^(1/2)

Term 2: p2 = (e * p1 / 3)^(1/2)

Term 3: p3 = (e * p2 / 3)^(1/2)

Term 4: p4 = (e * p3 / 3)^(1/2)

Term 5: p5 = (e * p4 / 3)^(1/2)

Perform the above calculations to find the exact values of p1, p2, p3, p4, and p5.

(c). Sequence: pn = 3 - pn-1, n ≥ 1, with p0 = 0.5

Term 1: p1 = 3 - p0

Term 2: p2 = 3 - p1

Term 3: p3 = 3 - p2

Term 4: p4 = 3 - p3

Term 5: p5 = 3 - p4

Perform the above calculations to find the exact values of p1, p2, p3, p4, and p5.

(d). Sequence: pn = cos(pn-1), n ≥ 1, with p0 = 0.5

Term 1: p1 = cos(p0)

Term 2: p2 = cos(p1)

Term 3: p3 = cos(p2)

Term 4: p4 = cos(p3)

Term 5: p5 = cos(p4)

Perform the above calculations to find the exact values of p1, p2, p3, p4, and p5.

Please note that to apply Aitken's Δ² method, we would need additional terms from the sequence to calculate the acceleration factor.

The method involves using the terms p(n+2), p(n+1), and pn to obtain an accelerated estimate of the limit. Without these terms, we cannot apply Aitken's method accurately.

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Complete question is,

The following sequences are linearly convergent. Generate the first five terms of the sequence {p^n}{p^​n​} using Aitken’s Δ² method.

a. p0=0.5, pn=(2−epn−1+pn−12)/3,n≥1

b. p0=0.75, pn=(epn−1/3)1/2,n≥1

c. p0=0.5, pn=3−pn−1,n≥1

d. p0=0.5, pn=cos⁡pn−1,n≥1

Answer:

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Step-by-step explanation:

Answer:

its B

25.4 ft

Step-by-step explanation:

Explanation

We are required to determine the inequality that satisfies the given graph.

This is achieved thus:

We can deduce from the graph that the curve drawn is not a broken line. Therefore, it cannot be strictly greater than or strictly less than.

We know that only "true" region is shaded. By testing the origin, we can deduce that the correct inequality is:

Hence, the answer is:

Option D

Answer:

A) length = width +10

B) length * width = 144 OR

B) width = 144 /length  putting B) into A)

A) length = 144 / length + 10 then solving for length

A) length^2 = 144 +10 length

A) length^2 -10 length - 144 = 0  then we factor

(length -18) * (length +8) = 0

length = 18 feet

width = 8 feet

Step-by-step explanation:

Answer:

The answer is 12.

Step-by-step explanation:

6 is 3/4 of 8 and 18 is 3/4 of 24. All you do is divide 16 by 4 which equals 4. Then multiple that answer by 3 which gives you 12.

Answer:

The answer is 12

Step-by-step explanation: