Which statement is correct

Answer:

b/w 19 & 55

Step-by-step explanation:

average of four equally weighted 100-point tests,

mark has scored 90, 86, and 85 on the first three.

C average = 70 and 79

90+86+85+x = 4*70 = 280, so x=19

90+86+85+x = 4*79 = 316, so x=55

Answer:

3.50 × 12 = 42

Therefore, she spent 42 dollars.

The equation that belongs to the same function family as the graph shown below is given as follows:

C. h(x) = 2(5)^x.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

The graphed function is a decreasing exponential function, belonging to the exponential function family.

Hence the correct option is given by option C, as it is the only exponential function among the options given.

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We can conclude that the linear transformation T(x) = Ax is necessarily the orthogonal projection onto a subspace of R^n since A is a projection matrix that projects vectors onto a subspace that is the direct sum of orthogonal eigenspaces.

The answer to this question is a long one, so let's break it down.

First, let's define what it means for a matrix to be symmetric.

A matrix A is symmetric if it is equal to its transpose, or A = A^T. This means that the entries of A above and below the diagonal are equal, and the matrix is "reflected" along the diagonal.

Now, let's consider what it means for a matrix A to satisfy A^2 = A.

This condition is often called idempotency since squaring the matrix doesn't change it.

Geometrically, this means that the linear transformation T(x) = Ax "squares" to itself - applying T twice is the same as applying it once.

One interpretation of idempotency is that A "projects" vectors onto a subspace of R^n, since applying A to a vector x "flattens" it onto a lower-dimensional subspace.

So, is T(x) = Ax necessarily the orthogonal projection onto a subspace of R^n? The answer is yes but with some caveats.

First, we need to show that A is a projection matrix, meaning it does indeed project vectors onto a subspace of R^n. To see this, let's consider the eigenvectors and eigenvalues of A.

Since A is symmetric, it is guaranteed to have a full set of n orthogonal eigenvectors, denoted v_1, v_2, ..., v_n. Let λ_1, λ_2, ..., λ_n be the corresponding eigenvalues.

Now, let's look at what happens when we apply A to one of these eigenvectors, say v_i. We have:
Av_i = λ_i v_i

But since A^2 = A, we also have:
A(Av_i) = A^2 v_i = Av_i

Substituting the first equation into the second, we get:
A(λ_i v_i) = λ_i (Av_i) = λ_i^2 v_i

So, we see that A(λ_i v_i) is a scalar multiple of λ_i v_i, which means that λ_i v_i is an eigenvector of A with eigenvalue λ_i. In other words, the eigenspace of A corresponding to the eigenvalue λ_i is spanned by the eigenvector v_i.

Now, let's consider the subspace W_i spanned by all the eigenvectors corresponding to λ_i. Since A is symmetric, these eigenvectors are orthogonal to each other. Moreover, we have:
A(W_i) = A(span{v_i}) = span{Av_i} = span{λ_i v_i} = W_i

This means that A maps the subspace W_i onto itself, so A is a projection matrix onto W_i. Moreover, since A has n orthogonal eigenspaces, it is the orthogonal projection onto the direct sum of these spaces.


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Answer:

$9.00

Step-by-step explanation:

Multiply $60.00 by 15% or 0.15 to get 15% of $60.00

Hey there! I'm happy to help!

The slope is the steepness or incline of a line. From a graph, it is known as the rise over the run between two integer values. If you have a point at (1,1) and a point at (2,2), the rise (vertical difference) between them in 1 unit, and the run (horizontal difference) is 1 unit. 1/1 is 1, so the slope of a line that passes through these points is 1. This means that for every one unit to the right it goes, it goes one unit up.

The intercepts are where the line hits the x and y axes. By looking at a graph, you can find the y-intercept by seeing on what y-value the line intersects with the y-axis, and for the x-intercept you do so with the x-axis.

The slope-intercept equation is y=mx+b. This b is the y-intercept. To find the x-intercept, you plug in the value 0 for y and solve for x. This is because the x-axis is the line y=0, so you will see where the x is if y is equal to 0.

Linear equations and functions can be written in slope intercept form (y=mx+b), standard form (Ax+By=C), and point slope form \(y-y_{1} =m(x-x_{1} )\).

They can be graphed by finding the y and x intercepts from the equation and then connecting the points to draw the line!

Have a wonderful day! :D

Answer:

\(\begin{aligned}\bullet\ &f(1)=800;f(n)=f(n-1)+900, \text{for $n\ge 2$}\\ \bullet\ & f(n)=900n-100\end{aligned}\)

Step-by-step explanation:

See attachment for the figure.

Using arithmetic sequence with a first term of 800 and a common difference of 900. The general form for such a sequence is given by,

an = a1 +d(n -1)

an = 800 +900(n -1) = 900n -100

If n is the function, this can be written as,

f(n) = 900n -100

When considered as a recursive relation, we find the first term is still 800:

f(1) = 800

and that each term is 900 more than the previous one:

f(n) = f(n-1) +900 . . . . for n ≥ 2

You need to consider that huge numbers of the different answer decisions are debasements of either of these structures, so you should look at them cautiously.

Answer:

Point B

Step-by-step explanation:

From the graph attached,

Coordinates of point A are (4, -1)

Coordinates of point B → (0, 3)

Coordinates of point C → (-2, 0)

When a point (x, y) is reflected over y-axis coordinates of the image follow the rule,

(x, y) → (-x, y)

Following the same rule,

Coordinates of A' → (-4, -1)

Coordinates of B' → (0, 3)

Coordinates of C' → (2, 0)

Therefore, coordinates of point B and B' remain the same.

Point B will same as its own image.

Answer:

Point B

Step-by-step explanation:

From the graph attached,

Coordinates of point A are (4, -1)

Coordinates of point B → (0, 3)

Coordinates of point C → (-2, 0)

When a point (x, y) is reflected over y-axis coordinates of the image follow the rule,

(x, y) → (-x, y)

Following the same rule,

Coordinates of A' → (-4, -1)

Coordinates of B' → (0, 3)

Coordinates of C' → (2, 0)

Therefore, coordinates of point B and B' remain the same.

Point B will same as its own image.

Answer:

g(x) = \(2(\sqrt[3]{x})\)

Step-by-step explanation:

Parent function given in the graph attached is,

f(x) = \(\sqrt[3]{x}\)

Function 'f' passes through a point (1, 1).

If the parent function is stretched vertically by 'k' unit,

Transformed function will be,

g(x) = k.f(x)

Therefore, the image of the parent function will be,

g(x) = \(k(\sqrt[3]{x})\)

Since, the given function passes through (1, 2)

g(1) = \(k(\sqrt[3]{1})\) = 2

⇒ k = 2

Therefore, image of the function 'f' will be,

g(x) = \(2(\sqrt[3]{x})\)

Answer:

4(5x+4) is the answer

Step-by-step explanation:

..............

Juan's rate is 79200 feet per hour.

To calculate the rate we have a conversion type:

1 foot per second = 3600 feet per hour

1 foot per second=(exactly)0.3048/(0.3048/36001)

1 foot per second=3600 ft/hr

The SI units are 0.3048 meters per second, for 1 foot per second.

And SI units approximately 8.4666667 x 10-5 meters per second, for 1 foot per hour.

This shows, that feet per second are bigger units than feet per hour.

Given feet per second=22

Now, for 22 feet per second contain how many feet per hour for this we need to multiply by 3600.

rate=22*3600

rate=79200ft/hr

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The decimals of a square root that would be rounded to an approximate value are √3 = 1.732 and √5 = 2.23

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The decimals are equivalent to a square root.

Example:

√5 = 2.23

This can be rounded to 2.

√3 = 1.732

This can be rounded to 1.7 or 2.

Thus,

The decimals of a square root are √5 = 2.23 and √3 = 1.732.

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Diameter of a circle = 28 m

Then, radius of the circle will be :

\( = \tt \frac{diameter}{2} \)

\( =\tt \frac{28}{2} \)

\( = \tt14 \: m\)

Thus, the radius of this circle = 14 m

Area of circle :

\( = \tt\pi {} {r}^{2} \)

\( =\tt 3.14 \times 14 \times 14\)

\( = \tt3.14 \times 196\)

\( = \tt615.44 \: {m}^{2} \)

Thus, the area of this circle = 615.44 m²

Circumference of circle :

\( = \tt2\pi r\)

\( =\tt 2 \times 3.14 \times 14\)

\( = \tt87.92 \: m\)

The circumference of this circle = 87.92 m

Therefore, the area of this circle = 615.44m² and the circumference of this circle = 87.92m

Answer:

Step-by-step explanation:

10110001 - 1101101 = 1000100

Hope this helps you

You expect her to have 100 heads when she finishes the 200 tosses .probability of a fair coin should have an equal chance of landing on either heads or tails - so in 200 tosses, you would expect 100 of each.

To calculate the expected number of heads after 200 tosses, we need to know the probability of a coin landing on heads. The probability of a fair coin landing on heads is 50%, or 0.5. We can calculate the expected number of heads by multiplying the number of tosses (200) by the probability of heads (0.5). This gives us: 200 x 0.5 = 100. So, if the coin is fair, we expect her to have 100 heads when she has finished the 200 tosses.

Expected number of heads = Tosses x Probability of Heads

Expected number of heads = 200 x 0.5

Expected number of heads = 100

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Answer:

\(1/2\)

Step-by-step explanation:

Because they are scaled copies, the ratios of the sides are equal.

Figure A has a base of 6 units by inspection.

Figure B has a base 3 units by inspection.

So, the scale factor from Figure A to Figure B is \(3/6=\boxed{1/2}\) and we're done!

The scale factor from Figure A to Figure B is 1/2

Figure A:

Base = 6 units

Height = 4 units

Figure B:

Base = 3 units

Heights = 2 units

Using Base of the shape:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape

= 3 units / 6 units

= 1/2

Using Height of the shape:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape

= 2 units / 4 units

= 1/2

Hence, 1/2 is the scale factor from Figure A to Figure B.

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The product of 4.0x10^-2m and 8.1 is 3.24x10^-1m.

To express the product of 4.0x10^-2 m and 8.1, we can perform the multiplication and simplify the result. Let's go through the steps:

Step 1: Multiply the numbers: 4.0x10^-2 m * 8.1

To multiply these numbers, we multiply the decimal parts and add the exponents of 10. The calculation is as follows:

4.0 * 8.1 = 32.4

Next, we add the exponents:

10^-2 * 10^0 = 10^-2+0 = 10^-2

Step 2: Simplify the result

The result of the multiplication is 32.4 times 10 raised to the power of -2. We can write this as:

32.4 * 10^-2

When we have a number expressed in scientific notation, such as 4.0x10^-2 m, it means that we have a coefficient (4.0) multiplied by 10 raised to a certain power (-2 in this case). This notation is commonly used to represent very large or very small numbers in a concise and convenient manner.

In the context of measurements, the coefficient (4.0) represents the numerical value, and the exponent (-2) indicates the order of magnitude or scale. The base of 10 implies that the number is expressed in powers of 10.

Multiplying this value by 8.1 results in a product of 32.4. The exponent remains the same since multiplying by 10 does not change the scale of the number. Therefore, the final result is 32.4 times 10 raised to the power of -2.

Interpreting this in practical terms, the product of 4.0x10^-2 m and 8.1 is equivalent to 32.4 times 10 raised to the power of -2 meters. This can be understood as a small distance or length measurement due to the negative exponent. It signifies that the number is scaled down by a factor of 100 (10 raised to the power of 2), making it 100 times smaller than a meter.

Thus, the expression 32.4 * 10^-2 m represents the product of 4.0x10^-2 m and 8.1, where the value is 32.4 and the unit is meters, adjusted according to the appropriate scale denoted by the exponent.

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Answer: Nonresponse, voluntary, and convenience.

Step-by-step explanation:

For the first question, it should be noted that everyone cannot respond as only the people who have strong opinions will respond. Therefore, it's a nonresponse error.

For the second question, the people will have to volunteer. Therefore, it's a voluntary bias while the third one is a convenience sample as it's an easily available sample.

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The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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Answer:

x = 3

Step-by-step explanation:

First, isolate the variable by subtracting 5 on both sides:

3x=9

Then, divide both sides by 3:

x = 3

Answer:

9.55 in

Step-by-step explanation:

First of all we have to find the base area

base area = radius^2 x 3.14 = 10^2 x 3,14 = 100 x 3,14 =314 in^2

the volume of a cylinder is

V = base area x height

so the height is

V/base area

3000 : 314 = 9.55 in

Step-by-step explanation:

=>2(x-5)=4x-2(x+5)+1

=>2x+10=4x-2x-10+1

=>2x+10-4x+2x+10-1=0

=>4x-4x+20-1=0

=>

/////////////////////////////////

your question is wrong.......

Answer:

The Mets had 8, and the Dodgers had 11

Step-by-step explanation:

8 + 11 = 19

11 is 3 more than 19

Answer:

Dodgers 11 - Mets 8

Step-by-step explanation:

The Dodgers hit a couple homers probably,

Mets hit runs that are equal to 2 grand slams,

Dodgers 11

Mets 8

The inverse of a function f(x)=2x + 1 include the following: A. H(x) = 1/2x - 1/2

In Mathematics, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In order to determine the inverse of any function, you should swap both the input value (x-value) and output value (y-value) as follows;

f(x) = y = 2x + 1

x = 2y + 1

By rearranging the equation, we have the following:

2y = x - 1

y = (x - 1)/2

H(x) = 1/2(x) - 1/2.

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Positive curve graphs will be upward-sloping.

Negative curve graphs will be downward-sloping.

Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.

In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

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Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.

Answer:

Step-by-step explanation:

x + 4 > -2

   -4      -4

x > - 6

so any number larger then -6 satisfy the inequality.

It means integers: -5,-4,-3, -2, -1, 0, 1, 2 3, 4, and so on.

{-6 not because -6 is not >-6}

Answer: maybe its 6

Step-by-step explanation:

i think its 6 because it has +3 so maybe adding 3+3

About 10,676 gallons of paint were used to paint the 157 newly built homes in the subdivision, assuming each house required exactly 68 gallons of paint and 13 paint brushes.

The statement problem states that there are 157 newly built homes in a subdivision, and that 68 gallons of paint and 13 paint brushes were used for each house. This means that each house required 68 gallons of paint and 13 paint brushes.

To find the total amount of paint used for all 157 houses, we need to multiply the amount of paint used per house (68 gallons) by the number of houses (157):

Total amount of paint = 68 gallons/house x 157 houses

Total amount of paint = 10,676 gallons

Therefore, approximately 10,676 gallons of paint were used for the 157 newly built homes in the subdivision.

It's worth noting that this calculation assumes that each house required exactly 68 gallons of paint and 13 paint brushes. In reality, there may be some variation in the amount of paint and brushes used for each house, so the actual total may be slightly different.

However, this calculation provides a reasonable estimate of the total amount of paint used

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Answer:

It takes 1 hour to drive 80mph at the rate Oliva is going

Step-by-step explanation: