The histogram to the right represents the sepal widths​ (mm) of
a sample of irises. Based on the​ histogram, what is the number of
irises in the​ sample?

The domain of f(x) = 5x - 7 is {x | x is a real number} & this can be denoted as ( - ∞, ∞) for all x ∈ R.

The set of possible input values is referred to as the domain, and the domain of a graph is made up of all the input values displayed on the x-axis. The set of potential output values that make up the range is represented by the y-axis.

The set of all input values used to define a function is known as the domain.

Any expression's domain is set to include all real numbers, with the exception of cases where the expression is undefined.

All real numbers are included in the domain of the expression f(x) = 5x - 7.

The function's graph will be a continuous line with no discontinuities.

The domain of the expression f(x) = 5x - 7 is all real numbers.

The domain of f(x) = 5x - 7 is {x | x is a real number} & this can be denoted as ( - ∞, ∞) for all x ∈ R.

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Answer:

c.

Step-by-step explanation:

From the last row in the matrix z = 1.

From the second row:

y + 5z = -4

y = -4 -5(1) = -9.

From the first row:

x + -1 = -3

x = - 3 + 1

x = -2.

Answer:

D.)

2/3 1/6 1/7

Step-by-step explanation:

Given the fractions :

A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7

We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.

A.)

L. C. M of 14, 42 and 6 = 42

42 * 3 = 126 ( not true)

B.)

L. C. M of 84, 16, 42 = 336

Can't be true

C.)

L. C. M of 21, 4, 3 = 84

84 * 2 = 168 (not true)

D.)

L.C.M of 3, 6, 7 = 42

Answer:

d

Step-by-step explanation:

Answer:

The answer is 4,277,241

Step-by-step explanation:

I subtracted 283,651 from 4560892.

Answer:

4,277,241 is your correct answer

Step-by-step explanation:

The circulation value with the flux integral (f).ds over the surface S. If the two values are equal, Stokes' theorem is verified for this case.

(a) The surface S is a sphere of radius VS centered at the origin and lying inside the cylinder 2² + y² = 4. Its boundary, OS, is a circle on the xy-plane with radius VS.

The surface S can be visualized as a sphere with its center at the origin and a radius of VS. Inside the cylinder, the sphere is confined to the region where the equation 2² + y² = 4 holds true. The boundary OS of the surface S corresponds to the circle formed by the intersection of the sphere with the xy-plane. This circle lies within the cylinder and has a radius of VS.

(b) To compute the flux integral (f).ds, we can parametrize the surface S using spherical coordinates. Let's consider the parameterization ϕ: [0, 2π] × [0, VS] → S, where ϕ(θ, φ) = (VS cos θ sin φ, VS sin θ sin φ, VS cos φ).

Now, we can calculate the flux integral by evaluating the dot product between the vector field f and the normal vector of the surface S at each point of the parameterization ϕ. The normal vector of the surface S is given by N(θ, φ) = (cos θ sin φ, sin θ sin φ, cos φ).

By applying the dot product and integrating over the parameter space, we obtain the flux integral as:

(f).ds = ∫∫S (f · N) dS

= ∫∫S (xzi + yzj + x²y²k) · (cos θ sin φ, sin θ sin φ, cos φ) VS² sin φ dθ dφ

Using the parameterization ϕ and the normal vector N, we can simplify the dot product and the integral. After evaluating the integral, we obtain the final result for the flux integral.

(c) To verify Stokes' theorem, we need to compute the circulation of the vector field f along the boundary curve OS and compare it to the flux integral (f).ds over the surface S.

By parametrizing the boundary OS appropriately, we can represent it as a circle in the xy-plane with radius VS. Let's consider the parameterization γ: [0, 2π] → OS, where γ(t) = (VS cos t, VS sin t, 0).

To compute the circulation, we need to evaluate the line integral of the vector field f along the boundary curve OS. Using the parameterization γ, the line integral becomes:

∮OS (f).dr = ∫OS (f) · dr

= ∫γ (f(γ(t))) · γ'(t) dt

By substituting the parameterization γ and evaluating the integral, we obtain the circulation of the vector field f along the boundary curve OS.

Finally, we compare the circulation value with the flux integral (f).ds over the surface S. If the two values are equal, Stokes' theorem is verified for this case.

Note: Please excuse the formatting limitations of the chat interface, which may affect the accuracy of mathematical equations.

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Answer:

The Median is 75

Step-by-step explanation:

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75

The expression's variables can be represented by a different symbol than the conventional x and y.

How to Convert Algebraic Expressions to Verbal Expressions.

Therefore, the expression's variables can be represented by a different symbol than the conventional x and y.

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the height of the endpoint of the kth rectangle equals the heights of the first and kth preceding rectangles.

= -2 +k*(5/n)

The study of geometry utilizing coordinate points is referred to as coordinate geometry (or analytic geometry). Finding the distance between two points, dividing lines in the m:n ratio, locating a line's midpoint, and computing the area of a triangle in the Cartesian plane can all be done using coordinate geometry.

The range for the definition of the function f(x) = x^2 + 4 is (-2, 2).

Between this interval, there are a total of 5 equal pieces.

Height of each rectangle's right endpoint equals if the interval is divided into n equal pieces. k=(5/n)

Therefore, the height of the endpoint of the kth rectangle equals the heights of the first and kth preceding rectangles.

= -2 + k*(5/n)

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Answer:

360 miles

Step-by-step explanation:

For every one hour traveled, 120 miles are covered. If there are three hours traveled, then we would have 120+120+120 (aka 120*3). At the end of the 3 hours, we will have traveled 360 miles. Thank you for choosing Southwest, enjoy your day.

Answer:

It’s the last one.

Step-by-step explanation:

135 can also be written as 9 times 15. Since this is a square root, find a factor that is repeated twice. 9 can be broken down into 3 times 3. Hence this goes on the outside. 15 stays inside.

In the right-angle triangle RQS the measure of m∠R = 90°, m∠Q = 59° and m∠S = 31°.

What is a right-angled triangle?

Any two sides of a triangle's three sides must always add up to more than the third side since a triangle is a regular polygon with three sides. This distinguishing characteristic of a triangle. A right-angle triangle is one that has angles between its two sides that equal 90 degrees.

A right-angled triangle RQS is given.

The measure of ∠R is given as = 90°.

The measure of ∠Q is given as = (2x + 33)°.

The measure of ∠S is given as = (5x - 34)°.

According to the properties of the triangle, the sum of all angles of a triangle equals 180°.

So, the equation will be -

∠R + ∠Q + ∠S = 180°

Substituting the values into the equation -

90° + (2x + 33)° + (5x - 34)° = 180°

Combining the like terms -

90° + 2x + 33° + 5x - 34° = 180°

7x + 89° = 180°

7x = 180° - 89°

7x = 91°

x = 13°

The measure of ∠Q - (2x + 33)°

∠Q = 2(13°) + 33°

∠Q = 26° + 33°

∠Q = 59°

The measure of ∠S - (5x - 34)°

∠S = 5(13°) - 34°

∠S = 65° - 34°

∠S = 31°

Therefore, the measures of angles are 90°, 59° and 31°.

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Answer:

To simplify this expression, we first need to evaluate the expression inside the parentheses:

10 - 9 + 6 = 7

Now we can substitute this value back into the original expression:

10 + 28 ÷ 7 (7) = 10 + 4(7) (since 28 ÷ 7 = 4)

= 10 + 28

= 38

Therefore, 10 + 28 divided by 7 (10-9+6) equals 38.

Answer:

6 hours is your answer, good luck

Answer:

6 hours

Step-by-step explanation:

Answer:x=−0.142857

\(x=\frac{-1}{7}\)

Step-by-step explanation:

2.4(3x+4)=5.1x+9.3

Use the distributive property to multiply 2.4 by 3x+4.

7.2x+9.6=5.1x+9.3

Subtract 5.1x from both sides.

7.2x+9.6−5.1x=9.3

Combine 7.2x and −5.1x to get 2.1x.

2.1x+9.6=9.3

Subtract 9.6 from both sides.

2.1x=9.3−9.6

Subtract 9.6 from 9.3 to get −0.3.

2.1x=−0.3

Divide both sides by 2.1

\(\frac{-0.3}{2.1}\)

Expand  2.1/−0.3  by multiplying both numerator and the denominator by 10.

\(x=\frac{-3}{21}\)

Reduce the fraction 21/−3  to the lowest terms by extracting and canceling out 3.

\(x=\frac{-1}{7}\)

Hope this helps !

Both triangles are congruent by either ASA or AAS Congruence Theorem. hence, the right answer is A: Yes, they are congruent by either ASA or AAS.

The ASA Congruence Theorem states that the two triangles are congruent if they have two pairs of congruent angles and a pair of congruent included sides.

The AAS Congruence Theorem states that the two triangles are congruent if they have two pairs of congruent angles and a pair of congruent non-included sides.

Triangle LMQ is shown in the figure attached below.

Thus, Proving

Triangle MNL ≅ triangle QNL (ASA)

Triangle MNL and triangle QNL have two pairs of congruent angles:

<LNM ≅ LNQ and <MLN and <QLN

Also, they have a common side: side LN (included side).

Therefore, Triangle MNL and triangle QNL are congruent by ASA.

Triangle MNL ≅ triangle QNL ( by AAS)

Triangle MNL and triangle QNL have two pairs of congruent angles:

<LNM ≅ LNQ and <NML and <NQL

Also, they have a common side: side LN (non-included side).

Thus, Triangle MNL and triangle QNL are congruent by ASA.

Hence, the right answer is: A: Yes, they are congruent by either ASA or AAS.

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Answer: option A

Step-by-step explanation:

Answer:

y ≤ 1/3x - 4

Step-by-step explanation:

it could not be options 3 or 4 because the y-intercept is -4, not +4

I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)

1st option:  y ≥ 1/3x - 4        Is this true? -4 ≥ 1/3(3)  No, -4 is not GE 1

2nd option: y ≤ 1/3x - 4        Is this true? -4 ≤ 1/3(3)  Yes, -4 is LE 1  

Answer:

The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)

Step-by-step explanation:

The equation of line perpendicular to y=x-5 passing through (-3,9) is y=-x+6.

Two distinct lines intersecting each other at 90 degrees or at a right angle are called perpendicular lines

To find the equation of a line perpendicular to y = x - 5, we need to first determine the slope of the original line. The slope of a line in slope-intercept form (y = mx + b) is the coefficient of x, so in this case, the slope of the original line is 1.

Since we want to find the equation of a line perpendicular to this line, we need to find the negative reciprocal of the slope, which is -1.

So, the slope of the perpendicular line is -1, and we also know that it passes through the point (-3,9).

We can use the point-slope form of a line to write the equation of the perpendicular line:

y - y1 = m(x - x1)

where (x1, y1) is the given point and m is the slope of the line.

Substituting the values we know, we get:

y - 9 = -1(x - (-3))

Simplifying this expression, we get:

y - 9 = -x - 3

Adding 9 to both sides, we get:

y = -x + 6

Therefore, the equation of the line perpendicular to y = x - 5 and passing through the point (-3,9) is:

y = -x + 6

So the answer is option 1: y = -x + 6.

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In the translation of the line segment to the pre-image only implies the change of position, but the slope never changes in translation.

Given that,
To write a true statement about the relationship between the line segments and angle measures when a translation is applied to a preimage.

The line is a curve showing the shortest distance between 2 points.

The angle can be defined as the one line inclined over another line.

Here,
The translation is a process, in which the same figure with the same orientation shifted its position which does not affect the orientation or size to the preimage,

Thus, in the translation of the line segment to the pre-image only implies the change of position, but the slope never changes in translation.

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Answer:

Subtraction

Step-by-step explanation:

First, use inverse operations (subtraction) to get the term that includes a variable, by itself on one side of the equal sign.

Answer:

2x+3(10+x)

Step-by-step explanation:

I'm not sure but I think this might be the answer

Answer:

26.67

Step-by-step explanation:

8 x 5 x 2/3 = 80/3 = 26.67

Answer:

Step-by-step explanation:

u know the sinus theorem for the area of a triangle

u can search it sinus theorem triangle

for the solution:

12.4/sin(74)=y/sin(39)

y=7.85 cm

Answer:

Length y is 8.12cm

Step-by-step explanation:

Use the law of sines.

\(\frac{sin(a)}{A} =\frac{sin(b)}{B}\) ⇒\(\frac{sin(39)}{y} =\frac{sin(74)}{12.4}\)

\(y(\frac{sin(39)}{y}) =y(\frac{sin(74)}{12.4})\)

\(sin(39)=y(\frac{sin(74)}{12.4})\)

\(y=\frac{sin(39)}{sin(74)/12.4}\)

\(y=\frac{12.4*sin(39)}{sin(74)}\)

y=8.118052433 if you don't round.

Answer:7:00pm

Step-by-step explanation:

24 hours after 8pm is 8pm again but just add 24 hrs. Then subtract one.

24-1=23

Answer:

81 personas

Step-by-step explanation:

Lucía les cuenta una historia a 3 amigos a la hora 12.

Cada uno de ellos se comunica a 3 personas en los próximos 10 minutos.

a) Primeros 10 minutos

1 amigo = 3 personas = 10 minutos

3 amigos = x

Multiplicar cruzada

x = 3 × 3 personas = 9 personas

Por lo tanto, 9 personas han escuchado la historia en 10 minutos.

Si este trámite continúa, ¿cuántas personas han escuchado la noticia hasta las 12:30?

12: 30 - 12:00 = 30 minutos más

10

Por eso,

b) Segundos 10 minutos = 20 minutos

9 personas cada uno le dice a 3 personas en otros 10 minutos

1 persona = 3 personas

9 personas = x

Multiplicar cruzada

x = 9 × 3 personas

x = 27 personas

c) Los últimos 10 minutos = 30 minutos

1 persona = 3 personas

27 personas = x

Multiplicar cruzada

x = 27 × 3 personas

x = 81 personas

Por lo tanto, a los 30 minutos, 81 personas habrían escuchado la noticia a las 12:30

The income you need to afford a $425,000 house is largely dependent on your debt-to-income ratio, credit score, and down payment. However, a general rule of thumb is to have an annual income that is at least three times the purchase price of the home, which in this case would be $1,275,000.

To more accurately determine the income needed to afford a $425,000 house, consider factors such as the interest rate on the mortgage, property taxes, homeowners insurance, and any homeowner association fees.

These additional expenses can significantly impact your monthly mortgage payment and thus your income requirements.
It's important to keep in mind that lenders have varying criteria when determining mortgage eligibility and income requirements, so it's best to speak with a mortgage professional to get a more accurate estimate based on your individual circumstances.

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Andre travelled distance in one hour is 38 miles.

Define the relationship between Speed, Distance and Time

Given,

Distance travelled  of Andre is = 228 miles

Time taken to cover 228 miles = 6 hours

Then speed will be = Distance / time

speed = 228 / 6

          = 38 miles/hour

It means in 1 hour Andre covers a distance = 38 miles with a speed of 38 miles/hour

Hence, Andre travelled distance in one hour is 38 miles.

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y[n] = (Σ (1/2)^k * u[n - k + 2]) + (Σ (-2u[k - 2]) * u[n - k + 2])

To determine the output y[n] = x[n] * h[n], we need to compute the convolution of the input x[n] and the impulse response h[n]. The convolution formula is given by:

y[n] = Σ x[k] * h[n - k]

Given the input x[n] = (1/2)^n - 2u[n - 2] and impulse response h[n] = u[n + 2], we can compute the convolution as follows:

y[n] = Σ ((1/2)^k - 2u[k - 2]) * u[n - k + 2]

We can split this into two convolutions:

y1[n] = Σ (1/2)^k * u[n - k + 2]
y2[n] = Σ (-2u[k - 2]) * u[n - k + 2]

Then, sum the two convolutions:

y[n] = y1[n] + y2[n]

Now we can compute y1[n] and y2[n]:

y1[n] = Σ (1/2)^k * u[n - k + 2] for k = 0 to n - 2
y2[n] = Σ (-2u[k - 2]) * u[n - k + 2] for k = 2 to n

Finally, combine y1[n] and y2[n] to get the output y[n]:

y[n] = (Σ (1/2)^k * u[n - k + 2]) + (Σ (-2u[k - 2]) * u[n - k + 2])

To plot the output y[n], you can use a software tool like MATLAB or Python with appropriate libraries. Keep in mind that y[n] will be a discrete signal with different values at integer indices n.

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Answer:

I believe it is A I may be wrong

It is similar to Triangle ABC and has coordinate A'(8, -12), B'(4, -16), and C' (-20, 8).

Since its getting dilated by 2 it will be getting bigger