83 ÷ 26 =
r
there should be a remainder

To convert 21.73 m to customary units, we need to use the conversion factors as follows:

meter = 39.37 inches1

inch = 2.54

cm1 foot

= 12 inches

We have:

21.7.

3 m

= 21.73 x 39.37 inches (since 1 mete

r = 39.37 inches)

= 856.301 inches

= 71 feet 4.3 inches (since 1 foot = 12 inches)

The smallest tick mark on

1" = 1' 0"

architect’s scale is 1/16 inch.

This means that there are 16 tick marks in an inch. A fractional ruler was used for scale measurements of a line on the 1/4" = 1'-0" scale. The two ends of the line correspond to 6 2.7/4" and 9 6/8". To get the length of the line in inches, we need to convert the two ends to inches, then subtract them to get the length as follows:

\(6 2.7/4" \\= 6 x 12 + 2.7\\ = 74.7"  (since 1 foot\\ = 12 inches)\\9 6/8" = 9 x 12 + 6 \\= 114" (since 1 foo\\t = 12 inches)\)

Length of the line = 114 - 74.7 = 39.3 inches (rounded off to one decimal place)

Multiplying 3/5 by

\(17/13\\ gives:\\3/5 x 17/13\\= (3 x 17)/(5 x 13)\\= 51/65\)

This is already in its lowest form.

Therefore, the answer is:51/65 (an improper fraction)

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If λ = 5 is a factor of the characteristic polynomial of matrix A, then 5 is an eigenvalue of A.

Given that λ = 5 is a factor of the characteristic polynomial of matrix A, we need to determine whether 5 is an eigenvalue of A or not. Definition of Characteristic Polynomial:

A matrix A is a linear transformation whose characteristic polynomial is given by;

p(x) = \text{det}(xI - A)

Definition of Eigenvalue:

Let A be a square matrix of order n and let λ be a scalar.

Then, λ is called an eigenvalue of A if there exists a non-zero vector x, such that

A \bold{x} = \lambda \bold{x}

For some non-zero vectors x is known as the eigenvector.

Now, let's prove if 5 is an eigenvalue of A, or not.

According to the question, λ = 5 is a factor of the characteristic polynomial of A.Therefore, p(5) = 0.

\Rightarrow \text{det}(5I - A) = 0

Consider the eigenvector x corresponding to the eigenvalue λ = 5;

\Rightarrow (A-5I)x = 0$$$$\Rightarrow A\bold{x} - 5\bold{x} = 0

\Rightarrow A\bold{x} = 5\bold{x}

Since A satisfies the equation for eigenvalue and eigenvector, 5 is an eigenvalue of matrix A.

Therefore, if λ = 5 is a factor of the characteristic polynomial of matrix A, then 5 is an eigenvalue of A.

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Answer: 8 hours

Step-by-step explanation:  240 mph ÷ 30 = 8 hours

For the binomial distribution , the formula which finds the standard deviation is σ = √(n × p × (1-p)) .

The Standard Deviation is a measure of how much the values in the distribution vary from the mean.

The formula for calculating standard-deviation of a binomial distribution is ⇒ σ = √(n × p × (1-p)) ,

Where: σ = standard deviation , n = sample size , p = probability of success on a single trial ,

This formula can be used to calculate the spread or variability of a binomial distribution, which represents the distribution of the number of successes in a fixed number of independent trials, each with the same probability of success.

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Answer:

3

Step-by-step explanation:

because divide Pt from both sides to get r=i/(pt)

Answer:

b=1/2+7/4

b= 9/4

Step-by-step explanation:

yup......

Answer: b= 9/4

Step-by-step explanation: Multiply the numbers  B-1 * 7/4 = 1/2

                                                                                      B- 7/4 = 1/2

then add 7/4 to both sides of the equation and simplify and your solution is B=9/4

The Volume generated when the region between the curves is rotated around the y - axis is 1216500335.46

Volume of the curves:

The volume of the solid formed by revolving the region bounded by the curve x = f(y) and the y-axis between y = c and y = d about the y-axis is given by

V = π ∫dc [f(y)]2dy.

The cross-section perpendicular to the axis of revolution has the form of a disk of radius R = f(y).

Given,

y = x³

Here we have to find the volume along to the y axis.

With limit as y = 0 and y = 27.

When we apply the values it can be written as,

=>\(V=\pi \int\limits^0_{27} {(x^3)^2} \, dx\)

\(\implies V=\pi \int\limits^0_{27} {(x^6)} \, dx\)

Apply the limits then we get,

\(\implies V = \pi [0^6 - (27)^6]\)

=> V = π [0 - 387420489]

=> V =   π x 387420489

=> V = 1216500335.46

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Hello,

Ali is right, Khamis is wrong. Why because Khamis forgot to put the negative sign in front of 5b, it should be wrote -5b in the second line and not 5b.

And then Khamis should have divided -5b by -5b.

Good Luck

Answer:

4700

Step-by-step explanation:

4729 - 7 is in place of the hundreds, so cut off the rest and make sure, if needed, to round

Answer:

4700

Step-by-step explanation:

round the number up to the nearest hundred if the last two digits in the number are 50 or above.

round the number down to the nearest hundred if the last two digits in the number are 49 or below.

Step-by-step explanation:

km to m

1 km = 1000 m

2km = 2000 m

2000 : 800

20:80

answer: 1:4

Answer:

cookware manufactures who make pans out of steel only

Step-by-step explanation:

Answer:

The mean, the median, the mode and the upper and lower limits of

the range would each be reduced by the amount subtracted.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

3x - 9y = 9 → (1)

- 2x +2y = 8 ( subtract 2y from both sides )

- 2x = - 2y + 8 ( divide through by - 2 )

x = y - 4

substitute x = y - 4 into (1)

3(y - 4) - 9y = 9

3y - 12 - 9y = 9

- 6y - 12 = 9 ( add 12 to both sides )

- 6y = 21 ( divide both sides by - 6 )

y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)

The wavelength of the line in the hydrogen atom spectrum corresponding to the n₁ = 2 to n₂ = 6 transition is 4102 nm.

When an electron transitions from a higher to a lower energy level, it discharges a photon of the a specific wavelength. The Rydberg formula describes the connection between the shift in energy level and the wavelength:

\(\frac{1}{\lambda}=R\left(\frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}}\right)\)

Where,

R = Rydberg constant ( = 1.097 × 10⁷ /m)

n₁ =  lower energy level ( = 2)

n₂ = higher energy level ( = 6)

λ = wavelength of emitted photon

Now, according to the question;

Substitute the given values in the formula;

\(\begin{aligned}&\frac{1}{\lambda}=R\left(\frac{1}{n_{1}^{2}}-\frac{1}{n_{2}^{2}}\right) \\&\frac{1}{\lambda}=1.097 \times 10^{7}\left(\frac{1}{2^{2}}-\frac{1}{6^{2}}\right)\end{aligned}\)

\(\begin{aligned}&\frac{1}{\lambda}=2.437 \times 10^{6} \\&\lambda=4.102\times 10^{-6}\end{aligned}\)

λ = 4102 nm.

Therefore, the wavelength of the line in the hydrogen atom spectrum corresponding to the n₁ = 2 to n₂ = 6 transition is 4102 nm.

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Answer:

perimeter is 35.6 area is 108

Step-by-step explanation:

it helps to draw a picture. first the perimeter of the rectangle is 4x2 +12=20 we wont be needing one of the twelves because it is connected to the triangle the area or the rectangle is 12x4=48. now for the triangle. we will need the Pythagorean theorem to find the sides first split the base in half 12/2=6 now we use the height and the base 6^{2} +5x^{2} =6

2

+5x

2

= 61 the square root of 61 is about 7.8 the perimeter is 7.8+7.8 +12 but we wont need the base because it is attached to the rectangle =15.6 the area of the triangle is like half a square Base times height though 12x5=60

the whole perimeter if 15.6+20=35.6 the area is 60+48=108

wlcm♥️

The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).


The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.

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Answer:

25%

Step-by-step explanation:

$115 - $92 = $23 (first blank)

To do the fraction it is the new amount/the original amount

23/92

divide 23 and 92

23/92 = 0.25 (second and third blank)

0.25 x 100% = 25%

Answer:

x = (√10  -3)/2  and (-√10  -3)/2

Step-by-step explanation:

(2x+3)^2 = 10

To solve the equation, take the square root of each side

sqrt((2x+3)^2) = ±√10

2x+3 = ±√10

Subtract 3 from each side

2x+3-3 = ±√10  -3

2x = ±√10  -3

Divide each side by 2

2x/2 = (±√10  -3)/2

x = (±√10  -3)/2

There are two solutions

x = (√10  -3)/2

and (-√10  -3)/2

Answer:

\(\large {\textsf{A and D}}\ \implies \sf \sf \bold{x_1}=\dfrac{-\sqrt{10}-3}{2},\ \bold{x_2}=\dfrac{\sqrt{10}-3}{2}\)

Step-by-step explanation:

Given: (2x + 3)² = 10

In order to find the solutions to the given equation, we can take the (square) roots of the equation to find the zeros, which are also known as the x-intercepts. This is where the zeros intersect the x-axis.

Note: when taking the square roots of a quadratic equation, remember to use both the positive and negative roots.

Step 1: Square both sides of the equation.

\(\sf \sqrt{(2x + 3)^2} = \sqrt{10}\\\\\Rightarrow 2x+3=\pm\sqrt{10}\)

Step 2: Separate into possible cases.

\(\sf x_1 \implies 2x+3=-\sqrt{10}\\\\x_2 \implies 2x+3=\sqrt{10}\)

Step 3: Solve for x in both cases.

\(\sf \bold{x_1} \implies 2x+3=-\sqrt{10}\ \ \textsf{[ Subtract 3 from both sides. ]}\\\\\Rightarrow 2x+3-3=-\sqrt{10}-3\\\\\Rightarrow 2x=-\sqrt{10}-3\ \ \textsf{[ Divide both sides by 2. ]}\\\\\Rightarrow \dfrac{2x}{2}=\dfrac{-\sqrt{10}-3}{2}\\\\\Rightarrow x_1=\dfrac{-\sqrt{10}-3}{2}\\\\\)

\(\sf \bold{x_2}\implies 2x+3=\sqrt{10}\ \ \textsf{[ Subtract 3 from both sides. ]}\\\\\Rightarrow 2x+3-3=\sqrt{10}-3\\\\\Rightarrow 2x=\sqrt{10}-3\ \ \textsf{[ Divide both sides by 2. ]}\\\\\Rightarrow \dfrac{2x}{2}=\dfrac{\sqrt{10}-3}{2}\\\\\Rightarrow x_2=\dfrac{\sqrt{10}-3}{2}\)

Therefore, the solutions to this quadratic equation are: \(\sf \bold{x_1}=\dfrac{-\sqrt{10}-3}{2},\ \bold{x_2}=\dfrac{\sqrt{10}-3}{2}\)

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Answer: 7.62

Step-by-step explanation:

\(AB=\sqrt{(-2-1)^{2}+(-3-4)^{2}}=\sqrt{9+49}=\sqrt{58} \approx 7.62\)

Answer:

A. y = x+0.25

Answer:

I believe its A

Step-by-step explanation:

Found the answer and its A, good luck.

All the trigonometric values for sin θ, cos θ and tan θ are valued below. Each trigonometric value is mentioned.

sin θ has boundaries from 0 to 1.

sin \(-\pi /2\) = -1

sin  \(-\pi /3\) = -0.87

sin \(-\pi /6\) = -0.5

sin 0 = 0

sin \(\pi /6 \\\) = 0.5

sin \(\pi /3\) = 0.87

sin \(\pi /2\) = 1

sin \(2\pi /3\) = \(\sqrt{3}/2\)

sin \(5\pi /6\) = 1/2

sin \(\pi\) = 1

sin \(7\pi /6\) = -0.5

sin \(4\pi /3\) = -0.87

sin \(3\pi /2\) = -1

sin  \(5\pi /3\) = -0.87

sin \(11\pi /6\) = -0.5

sin \(2\pi\) = 0

Similarly cos θ has boundaries.

cos \(-\pi /2\) = 0

cos  \(-\pi /3\) = 0.5

cos \(-\pi /6\) = 0.87

cos 0 = 1

cos \(\pi /6 \\\) = 0.87

cos \(\pi /3\) = 0.5

cos \(\pi /2\) = 0

cos \(2\pi /3\) = -0.5

cos \(5\pi /6\) = -0.87

cos \(\pi\) = -1

cos \(7\pi /6\) = -0.87

cos \(4\pi /3\) = -0.5

cos \(3\pi /2\) = 0

cos  \(5\pi /3\) = 0.5

cos \(11\pi /6\) = 0.87

cos \(2\pi\) = 1

But tan θ has no boundaries.

tan \(-\pi /2\) = undefined

tan\(-\pi /3\) = -0.8

tan \(-\pi /6\) = -1.73

tan 0 = 0

tan\(\pi /6 \\\) = \(\frac{1}{\sqrt{3} }\)

tan \(\pi /3\) = \(\sqrt{3}\)

tan \(\pi /2\) = undefined

tan \(2\pi /3\) = -3

tan \(5\pi /6\) = -0.5774

tan \(\pi\) = undefined

tan \(7\pi /6\) = -1.73

tan\(4\pi /3\) = 1.73

tan \(3\pi /2\) = undefined

tan \(5\pi /3\) = -1.73

tan \(11\pi /6\) = -0.58

tan \(2\pi\) = 0

Hence, all the values mentioned in the table, were written above.

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Answer:

less that is it have good day

Answer:

i wrote how to below!

Step-by-step explanation:

okay since the y intercept is 2, put a dot on the point (0, 2)

now for the next one just substitute an easy value like 1 to the equation

y = 3/4(4) + 2

the 4 will cancel out the denominator then...

y = 3 + 2

y = 5

now put a point on (4, 5)

Answer:

answer in explanation

Step-by-step explanation:

(0,2)

(1,2.75)

(2,3.5)

(3,4.25)

(4,5)

Answer:180

Step-by-step explanation:

hope this helps

Answer:

0.8 mm

Step-by-step explanation:

Given that you require the actual size.

The ant has been magnified by 15 X

To find the actual size divide magnified size by 15

actual size = 12 mm ÷ 15 = 0.8 mm