Complete the standard form equation representing the quadratic relationship displayed above, where a,b, and c are consonants.

Answer:

4 inches.

Step-by-step explanation:

Since the shape is a square, each side length will be the same. This mean that you must find the square root of 36 to find the length of each side of the new square.

√36=6

Each side of the new square is 6. It says it was lengthened by 2 inches. Subtract 2 from 6.

6-2=4

Each side of the original square is 4 inches.

Hope this helps!

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Answer:

I believe the multiplied number would be 4.

39 × 4 = 156

The number is = 4

Step-by-step explanation:

I'm not sure what is 46 at the end of the question.

Answer: D

Step-by-step explanation: 2,6

Both functions are the solution to the given Laplace solution.

Given Laplace's equation: [tex]u_{x x}+u_{y y}=0[/tex]

(1) [tex]u=e^{-x} \cos y-e^{-y} \cos x[/tex]

Differentiate with respect to x as follows:

[tex]u_x=-e^{-x} \cos y+e^{-y} \sin x\\u_{x x}=e^{-x} \cos y+e^{-y} \cos x[/tex]

Differentiate with respect to y as follows:

[tex]u_{x x}=e^{-x} \cos y+e^{-y} \cos x\\u_{y y}=-e^{-x} \cos y-e^{-y} \cos x[/tex]

Supplement the values in the given Laplace equation.

[tex]e^{-x} \cos y+e^{-y} \cos x-e^{-x} \cos y-e^{-y} \cos x=0[/tex]

The given function in this case is the solution to the given Laplace equation.

(2) [tex]u=\sin x \cosh y+\cos x \sinh y[/tex]

Differentiate with respect to x as follows:

[tex]u_x=\cos x \cosh y-\sin x \sinh y\\u_{x x}=-\sin x \cosh y-\cos x \sinh y[/tex]

Differentiate with respect to y as follows:

[tex]u_y=\sin x \sinh y+\cos x \cosh y\\u_{y y}=\sin x \cosh y+\cos x \sinh y[/tex]

Substitute the values to obtain:

[tex]-\sin x \cosh y-\cos x \sinh y+\sin x \cosh y+\cos x \sinh y=0[/tex]
The given function in this case is the solution to the given Laplace equation.

Therefore, both functions are the solution to the given Laplace solution.

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The correct question is given below:
Determine whether each of the following functions is a solution of Laplace's equation uxx + uyy = 0. (Select all that apply.) u = e^(−x) cos(y) − e^(−y) cos(x) u = sin(x) cosh(y) + cos(x) sinh(y)

f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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On the first day of class, a statistics professor asked her students to report their grade point averages (gpas) as part of a class survey. for those students who knew their gpas, the histogram was Left skewed.

The meaning of grade point averages?

What exactly does a 4.0 GPA mean?

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Answer: The slope of the line that goes through the points is = ¼

Step-by-step explanation:

Define Slope:

The slope is a numerical value that describes the steepness of a line and is usually determined by calculating the ratio of the vertical distance to the horizontal distance (rise over run) between two points.

The slope of the line that goes through the points (-4,2) and (8,5).

Let, X1=-4

Y1=2

X2=8

Y2=5

We can use m=(y2-y1) / (x2-x1)

replace with x1, y1 and x2, y2 values in this equation  

We can write: m=[(5-2) / (8-(-4))]

Solve it: M= 3/12

M=1/4

So, the slope of the line that goes through the points is = ¼.

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Labels for gender where 1=female and 2=male is an example of using a nominal variable scale.

Therefore, labels for gender where 1=female and 2=male is an example of using a nominal variable scale.

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Travis's checking account new balance, after wrote five checks to the employees of his business is - $235

To solve this problem, we have to state the equation using the information of the problem

Information about the problem:

Calculating the checks total amount Travis wrote to the employees of his business:

Total amount for his employers = Check amount of each employer * No. of checks

Total amount for his employers = $225 * 5

Total amount for his employers = $1125

Calculating the final balance, we have:

Final balance = Original balance - Total amount for his employers

Final balance = $890 - $1125

Final balance = - $235

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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Answer:

D.)

Step-by-step explanation:

Answer:

-35

Step-by-step explanation:

Question =7-24÷8×4+6

=7-192÷4+6

=7-49+6

=-41+6

=-35

Therefore,right answer is (-35)

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the thickness in scientific notation is:

4.3* 10⁻³ inches

Here we know that the thickness of a dollar bill is 0.0043 inches.

Now, scientific notation refers to the notation where we have a single digit at the left of the decimal point, and the order of the number is defined by a factor of a power of 10.

To write our number in scientific notation we need to count the number of zeros that we have before the first non-zero decimal, and we can see that it is equal to 3.

Then we can move all the digits 3 units to the left, and add a factor 10⁻³ to correct that, then we will get:

0.0043 = 4.3* 10⁻³

From this, we conclude that the thickness in scientific notation is:

4.3* 10⁻³ inches

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Answer:

42°, 101°

Step-by-step explanation:

These answers come from the angle subtraction postulate.

The sum will be negative.

The product of two negative numbers is always positive and if we add two numbers, the sign of the greater number is used in the result.

Here, we are given an expression 4a + (-3b)

Also we are told that a < b and b is a negative number

Mow, since b is a negative number, (-3b) will always be positive. This is because the product of two negative numbers, here -3 and b, will always be positive.

Now, a can be positive or negative. If a is positive, the sum will always be positive. However, if it is negative, the sum can be either positive or negative.

Here, in fact, since a < b, a will always be negative only

Let us take an example, say a = -3 and b = -2

Then the sum becomes 4(-3) + (-3)(-2)

= -12 + 6

= -6

If we observe closely since a and be are both negative and a < b, in absolute terms a will always be greater than b since for negative numbers higher the value, smaller is the number.

Thus, we can conclude that 4a > (-3b) for all values of a and b

and since 4a will always be negative, the sum will also be negative.

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What we answering with these 2 points ?

Where's the question?

Answer: They charge $28 per lesson the Equation is 35 + 5x = $175

Step-by-step explanation: He rented the snowboard for $35 and then took 5 hours of snowboarding lessons. Then the whole thing cost $175.

Answer: The converse of this theorem is also true; that is, if two lines n and m are cut by a transversal so that the alternate interior angles are congruent, then n║m.

Step-by-step explanation:

What does it mean converse in geometry?

The converse of a statement is formed by switching the hypothesis and the conclusion. The converse of "If two lines don't intersect, then they are parallel" is "If two lines are parallel, then they don't intersect." The converse of "if p, then q" is "if q, then p."

So, in the figure below, if we can choose n║m, then ∠1≅∠2

Since  n║m , by the corresponding Angles Postulate,

∠1≅∠2.

Therefore, by the definition of congruent angles,

m∠1=m∠2

Since ∠1 and ∠2 form a linear pair, they are supplementary, so

m∠1+m∠2=180°.

Therefore, the converse of this theorem is also true; that is, if two lines n and m are cut by a transversal so that the alternate interior angles are congruent, then n║m.

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The graph representing the given function g(x) = 45 + 9x is as drawn in the attachment.

We are given the equation of line as;

g(x) = 45 + 9x

Where;

x represents the number of hours studied.

g(x) represents the test score

Thus, to plot this graph, we need to input some x values and find their corresponding g(x) values

At x = -10;

g(x) = 45 + 9(-10)

g(x) = -45

At x = -1;

g(x) = 45 + 9(-1)

g(x) = 35

At x = 0;

g(x) = 45 + 9(0)

g(x) = 45

At x = 1;

g(x) = 45 + 9(1)

g(x) = 54

At x = 2;

g(x) = 45 + 9(2)

g(x) = 63

At x = 3;

g(x) = 45 + 9(3)

g(x) = 72

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Answer:

Part 1) The fractions in the list are not equal to the decimal number indicated

Part 2) The fractions 401/99 and 802/198 are equal to the decimal number indicated.

Part 1)

we have the decimal number

4.05 -----> is a terminating decimal ( t's a decimal with a finite number of digits)

Convert to fraction number

Multiply and divide by 100

Simplify

Divide by 5 both numerator and denominator

therefore

The fractions in the list are not equal to the decimal number indicated.

Part 2) we have

4.050505... ------> is a repeating decimal (is a decimal that has a digit, or a block of digits, that repeat without ever ending)

Let

x=4.050505...

we have that

Multiply by 2 both numerator and denominator

therefore

The fractions 401/99 and 802/198 are equal to the decimal number indicated.

Step-by-step explanation:

The z test statistic needed for this hypothesis test is 0.75 .

Z test is a statistical test that is conducted on data that approximately follows a normal distribution. The z test can be performed on one sample, two samples, or on proportions for hypothesis testing. It checks if the means of two large samples are different or not when the population variance is known.

NOW,

sample proportion =  p = x / n = 0.23

Test statistics

z = ( p - p0 ) / [tex]\sqrt{ p0*(1-p0)}[/tex] / n

= ( 0.23 - 0.20) /  [tex]\sqrt{ (0.20*0.80) / 100}[/tex]

= 0.75

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The form of a periodic function is H(t) = 20cos(π/12(t+12))+ 60.

What do periodic functions mean?

A function that periodically returns to the same value. Despite the similarity in sound between periodic motion and oscillatory motion, not all periodic motions are oscillatory motion.

Since the values of H oscillates between two values, then the choices of the function are either sine or cosine. However, since the variable measures the time from 4 AM, and 4 AM represents the trough of the oscillation, then cosine is the more appropriate choice. Recall the form of a periodic function

y =A cos(B(x +C))+D

It is given that the peak of desert temperature is at 80F, and the lowest is 40F. Note that the distance between the two temperatures is

80F − 40F =40F

Since the amplitude is the distance from the middle line to either peak or trough, then it is half the distance from the trough to the peak. Hence

A = 40/2= 20

Notice that one full oscillation occurs after one day or 24 hours. Hence the period is

B =2π/24 = π/12

The graph of the cosine function begins at the peak, whereas the function needs to begin at the trough, since the variable t represents the number of hours after 4 AM. Thus, the graph must be shifted horizontally to the left one half-cycle, which is

C = 12

Since the original cosine function has the centerline at x= 0  the centerline of the function must be shifted by the number of units corresponding to the midway point of the peak and the trough. Hence

D= 80 + 40/2 = 120/2 = 60

ubstituting

A =20, B = π/12. C= 12 , and  D= 60 into

The form of a periodic function

                    H(t) = 20cos(π/12(t+12))+ 60

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Answer:

Step-by-step explanation:

the square root of 74 is 8.60

Even if you round it should be 8.7 but 8.5 is only one digit down from 8.60 if that makes sense so 8.6 is only one digit from 8.5 with is a comparable value

Answer:

8 < x < 2 has no solution because there is no number greater than 8 (8 < x), yet less than 2 (x < 2). It's impossible, so there is no solution.

If the inequality was something like 8 < x < 10, then it will work because 8 can be less than x and x can be less than 10.

Hope this helps and have a great rest of your day! :)

Answer:

1.25

Step-by-step explanation:

The correct option is d)10.01 kg​;       y + x = 10.01 kg.

When converting units, you are generally given one measure but instead asked to convert it to another.

For the given values in the question;

x = 10 g  and y = 10 kg

As, both the values are of mass.

For adding both values, the unit must be same.

So, convert the value of x in kg from g.

1 kg = 1000 g

Thus, 1 g = 1/1000 kg

10 g = 10/1000 kg

10 g = 0.01 kg

Now add both;

x + y = 0.01 + 10

x + y = 10.01 kg

Thus, the value of x + y is found as 10.01 kg.

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The correct question is-

a)10.1 kg

b)100.1 g

c)10.1 kg

d)10.01 kg​

The two vectors and a vector and a scalar which shows that H is not a subspace of [tex]R^2[/tex] are [tex]\bold{\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right]}[/tex] , [tex]\bold{\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right]}[/tex]  and [tex]\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right][/tex] and 6.

Given the set, [tex]H=\{\left[\begin{array}{c}x\\y\end{array}\right] :8x^2+5y^2\leq 1\}[/tex] which represents the set of points on and inside an ellipse in the xy-plane.

We have to show that H is not a subspace.

We can show that this set is not closed under vector addition of two vectors by finding those vectors.

[tex]\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right][/tex] and [tex]\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right][/tex] are two vectors in H, since it satisfies the given condition, [tex]8x^2+5y^2\leq 1[/tex].

i.e., [tex]8\times(\frac{1}{5})^2 + 5\times (\frac{1}{4})^2 = 0.6325\leq 1[/tex] and [tex]8\times(\frac{1}{6})^2 + 5\times (\frac{1}{7})^2 = 0.3242\leq 1[/tex]

[tex]\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right][/tex] + [tex]\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right][/tex] = [tex]\left[\begin{array}{c}\frac{11}{30} \\\frac{11}{28} \end{array}\right][/tex]

But  [tex]8\times(\frac{11}{30})^2 + 5\times (\frac{11}{28})^2 =1.847 \geq 1[/tex]

So the vector  [tex]\left[\begin{array}{c}\frac{11}{30} \\\frac{11}{28} \end{array}\right][/tex] does not belongs to H.

So It is not closed under addition.

Now we will prove that H is not closed under scalar multiplication of a vector and a scalar either.

[tex]\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right][/tex] is a vector in H. But [tex]6\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right][/tex] does not belongs to H, where 6 is a scalar.

This is because [tex]6\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right][/tex]  = [tex]\left[\begin{array}{c}1 \\2 \end{array}\right][/tex] and  [tex]8\times1^2 + 5\times 2^2 =28 \geq 1[/tex].

So the two vectors are [tex]\bold{\left[\begin{array}{c}\frac{1}{5} \\\frac{1}{4} \end{array}\right]}[/tex] and [tex]\bold{\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{7} \end{array}\right]}[/tex]  and one vector and a scalar are [tex]\left[\begin{array}{c}\frac{1}{6} \\\frac{1}{3} \end{array}\right][/tex] and 6.

The question is incomplete. Find the complete question below:

Let  [tex]H=\{\left[\begin{array}{c}x\\y\end{array}\right] :8x^2+5y^2\leq 1\}[/tex], which represents the set of points on and inside an in the xy-plane. Find two specific examples two vectors, and a vector and a scalar to show that H is not a subspace of  [tex]R^2[/tex].

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Justin should have multiplied 3.8 and 7.9 first

He is trying to evaluate the expression 12.5 + 3.8x, when x = 7.9.

This was Justin solution to the expression

12.5 + 3.8(7.9)

16.3(7.9)

128.77

Now let's do our own arithmetic,

12.5 + 3.8x

we have to substitute the value of x in the equation.

12.5 + 3.8(7.9)

Using PEMDAS principle, we have to multiply before addition.

Therefore,

12.5 + 3.8(7.9)

12.5 + 30.02

42.52

Hence, Justin should have multiplied 3.8 and 7.9 first

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