The sum of two numbers is 15 and
their difference is 7.
What are the two numbers ?
Smaller number
Larger number

The amount of titanium in 1508 grams of alloy will be 527.8 grams.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The alloy is 35% titanium.

If there are 1508 grams of other elements in the alloy.

Then the amount of titanium in 1508 grams of alloy will be

⇒ 35% of 1508

⇒ 0.35 x 1508

⇒ 527.8 grams

The amount of titanium in 1508 grams of alloy will be 527.8 grams.

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Answer:     x = 5, -5

Step-by-step explanation:

mark brainist

Answer:

(5, 18) and (-5, 38)

Step-by-step explanation:

Equating the values of the function f(x) :

Taking x = +5 :

Taking x = -5 :

The solutions are : (5, 18) and (-5, 38)

Answer:

to create this figure, connect the three sets of opiate points of the hexagon. Construction angle bisectors for each new angle, creating six new intersections with the circle, for a total of 12 points. Connect the points to make a regular 12-sided polygon.

Step-by-step explanation:

The value of a for a 99% confidence level is 0.005.

In this scenario:

p represents the proportion of the population that prefers chocolate pie.

n represents the sample size, which is 1000 in this case.

E represents the margin of error, which is 3 percentage points.

p represents the proportion of the sample that prefers chocolate pie.

To calculate the value of a for a 99% confidence level, we can use the formula:

a = (1 - C) / 2

where C is the confidence level as a decimal (i.e., 0.99 in this case). Plugging in the values, we get:

a = (1 - 0.99) / 2

a = 0.005

Therefore, the value of a for a 99% confidence level is 0.005.

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Answer: B. When the nail became magnetized the iron atoms in the nail were temporarily aligned and caused a physical change in the nail.

Step-by-step explanation:

Electrons behave like little magnets and when they flow through a wire, they create a magnetic field, which turns the nail into a magnet

A trial in the context of a binomial distribution refers to a single experiment or attempt with a success or failure outcome.

A success in this problem is defined as the die landing on a green square, and the number of trials is 12.

A trial, in this context, refers to rolling the 20-sided die once.

When the die is rolled 12 times, each of those 12 rolls is considered a separate trial.
A success is the outcome that we are interested in tracking.

In this case, a success is when the die lands on a green square.
The number of trials, denoted by 'n', is the total number of times the die is rolled.

In your question, the die will be rolled 12 times, so n = 12.
To recap:
- A trial: Rolling the 20-sided die once
- A success: The die landing on a green square.
- Number of trials (n): 12.

Since x has a binomial distribution, this implies that each trial is independent, and the probability of success remains constant throughout all trials.

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Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

Answer:

1) The expected value of the "winnings" is $(-0.97\(\overline 2\))

2) The variance for the "winnings" is $0.57966

3) The standard deviation for the "winnings" is$0.761354

4) The game is not a fair game because one is expected to lose $0.97\(\overline 2\)

Step-by-step explanation:

1) The probability of having a sum of 2 = 1/6×1/6 = 1/36

The probability of having a sum of 3 = 1/6×1/6 = 1/36

The probability of having a sum of 4 = 1/6×1/6 + 1/6×1/6  = 1/18

The probability of having a sum of 5 = 1/6×1/6 + 1/6×1/6 = 1/18

The probability of having a sum of 6 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 7 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 8 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 9 = 1/6×1/6 + 1/6×1/6  = 1/18

The probability of having a sum of 10 = 1/6×1/6 + 1/6×1/6 = 1/18

The probability of having a sum of 11 = 1/6×1/6  = 1/36

The probability of having a sum of 12 = 1/6×1/6  = 1/36

The values are;

For 2, we have 1/36 × (20 - 5) = 0.41\(\overline 6\)

For 3, we have 1/36 × (20 - 5) = 0.41\(\overline 6\)

For 4, we have 1/18 × (20 - 5) = 0.8\(\overline 3\)

For 5, we have 1/18 ×  (10 - 5) = 0.2\(\overline 7\)

For 6, we have 1/12 × (10 - 5) = 0.41\(\overline 6\)

For 7, we have 1/12 × (10 - 5) = 0.41\(\overline 6\)

For 8, we have 1/12 × (10 - 5) = 0.41\(\overline 6\)

For 9, we have 1/18 × (-20 - 5) = -1.3\(\overline 8\)

For 10, we have 1/18 × (-20 - 5) = -1.3\(\overline 8\)

For 11, we have 1/36 × (-20 - 5) = -0.69\(\overline 4\)

For 12, we have 1/36 × (-25 - 5) = -0.69\(\overline 4\)

The expected value of the winnings is given as follows;

0.41\(\overline 6\) + 0.41\(\overline 6\) + 0.8\(\overline 3\) + 0.8\(\overline 3\) + 0.8\(\overline 3\) + 0.41\(\overline 6\) + 0.41\(\overline 6\) + -1.3\(\overline 8\) -1.3 - 0.69\(\overline 4\) - 0.69\(\overline 4\) = -0.97\(\overline 2\)

Therefore, the expected value = $-0.97\(\overline 2\), which is one is expected to lose $0.97\(\overline 2\)

2) Using Microsoft Excel, we have;

The variance for the "winnings", σ² = $0.57966

3) The standard deviation for the "winnings" = √σ² = √(0.57966) ≈ $0.761354

4) The game is not a fair game because one is expected to lose $0.97\(\overline 2\)

Answer:

8 x^4 + -26 x^2 + 21

Step-by-step explanation:

Expand the following:

(2 x^2 - 3) (4 x^2 - 7)

Hint: | Multiply 2 x^2 - 3 and 4 x^2 - 7 together using FOIL.

(2 x^2 - 3) (4 x^2 - 7) = (2 x^2) (4 x^2) + (2 x^2) (-7) + (-3) (4 x^2) + (-3) (-7):

2 4 x^2 x^2 - 3 4 x^2 - 7 2 x^2 - 3 (-7)

Hint: | Combine products of like terms.

2 x^2×4 x^2 = 2 x^4×4:

8 x^4 - 3 4 x^2 - 7 2 x^2 - 3 (-7)

Hint: | Multiply 2 and 4 together.

2×4 = 8:

8 x^4 - 3 4 x^2 - 7 2 x^2 - 3 (-7)

Hint: | Multiply -7 and 2 together.

-7×2 = -14:

8 x^4 - 3 4 x^2 + -14 x^2 - 3 (-7)

Hint: | Multiply -3 and 4 together.

-3×4 = -12:

8 x^4 + -12 x^2 - 14 x^2 - 3 (-7)

Hint: | Multiply -3 and -7 together.

-3 (-7) = 21:

8 x^4 - 12 x^2 - 14 x^2 + 21

Hint: | Group like terms in 8 x^4 - 12 x^2 - 14 x^2 + 21.

Grouping like terms, 8 x^4 - 12 x^2 - 14 x^2 + 21 = 8 x^4 + (-14 x^2 - 12 x^2) + 21:

8 x^4 + (-14 x^2 - 12 x^2) + 21

Hint: | Combine like terms in -14 x^2 - 12 x^2.

-14 x^2 - 12 x^2 = -26 x^2:

Answer: 8 x^4 + -26 x^2 + 21

Answer:

\(8x^{4} - 26x^{2} + 21\)

Step-by-step explanation:

I am assuming the equation is this: \((2x^{2}-3)(4x^{2}-7)\).

We can the distributive property to solve this:

\((2x^{2}-3)(4x^{2}-7)\\= 8x^{4} - 14x^{2} - 12x^{2}+21\\= 8x^{4} - 26x^{2}+21\)

Answer:

x = 70

Step-by-step explanation:

50 + x + 2x + 100 = 360

Combine like terms

3x + 150 = 360

Subtract 150 from both sides

3x = 210

Divide both sides by 3 to isolate x

x = 70

Answer: there is no picture

Answer:

no clue

Step-by-step explanation:

explain it to me and I will answer it

Answer:

A) y = -5/2x - 2

Step-by-step explanation:

y = slope + y-intercept

The slope is negative and the y-int is -2, thus the first option.

The Feit-Thompson theorem is equivalent to the statement that every finite nonabelian simple group has even order.

The Feit-Thompson theorem states that every finite group of odd order is solvable. On the other hand, the statement that every finite nonabelian simple group has even order is equivalent to saying that the only finite groups of odd order are cyclic groups of prime order.

To show that these two statements are equivalent, we need to prove that if every finite nonabelian simple group has even order, then every group of odd order is solvable, and vice versa.

First, suppose that every finite nonabelian simple group has even order. Let G be a group of odd order, and let P be a Sylow 2-subgroup of G. Since the order of P is a power of 2, it is nontrivial and hence contains an element of order 2. This element generates a subgroup H of P that is isomorphic to Z_2. By the normalizer centralizer theorem, the normalizer of H in G is itself, so H is a normal subgroup of G. Since H is abelian, G/H is a nontrivial group of even order, and hence solvable. It follows that G is also solvable.

Conversely, suppose that every group of odd order is solvable. Let G be a finite nonabelian simple group, and let P be a Sylow p-subgroup of G for some odd prime p dividing the order of G. Since G is simple, P is a nontrivial proper subgroup of G, and hence its order is strictly less than the order of G. But since the order of G is odd, p cannot be 2, so P is a Sylow p-subgroup for some odd prime p. By the Frattini argument, G is generated by the normalizer of P and some subset of P. Since the order of P is odd, the normalizer of P has index divisible by 2 in G. It follows that G has even order, as claimed.

Therefore, the Feit-Thompson theorem is equivalent to the statement that every finite nonabelian simple group has even order.

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Answer:

3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23

Showing Work

Using the given inputs:

10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0

Rewriting these inputs as decimals:

10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0

10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22.375 -7 -2.666667 -0.25 1.125 -10.333333 -6 -2.5 0

Sorting this table by decimal values in order from least to greatest:

-23   -22 3/8   -31/3   -7.7   -7   -6   -3   -8/3   -2.5   -1   -1/4   0   9/8   2   3   5   8   10   11   15   22   23

-23 < -22.375 < -10.333333 < -7.7 < -7 < -6 < -3 < -2.666667 < -2.5 < -1 < -0.25 < 0 < 1.125 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23

Therefore, the sorted inputs in order from least to greatest is:

-23 < -22 3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23

Step-by-step explanation:

Answer:

209.25 ft²

Step-by-step explanation:

2.7cm * 5 = 13.5 ft

3.1cm * 5 = 15.5 ft

Area

a = 13.5 * 15.5

a = 209.25 ft²

Answer:

8.37cm

Step-by-step explanation:

2.7cm×3.1cm=8.37cm

Area rectangle is length by width

The difference between f(8) and f(4) lies between -16 and 12, inclusive. Therefore, we can estimate that f(8) - f(4) is between -16 and 12.

The Mean Value Theorem is a fundamental result in calculus that relates the average rate of change of a function over an interval to its instantaneous rate of change at some point within the interval. It states that if a function f(x) is continuous on a closed interval [a,b] and differentiable on the open interval (a,b), then there exists some c in (a,b) such that:

f'(c) = [f(b) - f(a)] / (b - a)

In this problem, we are given that f(x) is continuous on [4,8] and differentiable on (4,8), and we are asked to estimate f(8) - f(4) using the Mean Value Theorem.

To do this, we first apply the Mean Value Theorem to obtain an expression for f(8) - f(4) in terms of f'(c) for some c in (4,8):

f'(c) = [f(8) - f(4)] / (8 - 4)

Rearranging, we get:

f(8) - f(4) = f'(c) \(\times\) 4

So we need to find an estimate for f'(c) to find an estimate for f(8) - f(4).

We are given that −4≤f′(x)≤3 for all x in (4,8), which means that f'(x) lies between -4 and 3 for all x in (4,8). Since c is also in (4,8), it follows that f'(c) is also between -4 and 3. Therefore, we can say that:

-4 ≤ f'(c) ≤ 3

Substituting this inequality into our expression for f(8) - f(4), we get:

-4 * 4 ≤ f(8) - f(4) ≤ 3 \(\times\) 4

Simplifying, we get:

-16 ≤ f(8) - f(4) ≤ 12

This means that the difference between f(8) and f(4) lies between -16 and 12, inclusive. Therefore, we can estimate that f(8) - f(4) is between -16 and 12.

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Answer:

1.) slope is 6

2.) slope is -4

4.)slope is undefined

Step-by-step explanation:

1.) For one we can use the equation y2-y1/ x2-x1

First, pick any 2 points that you want to use to plug into the equation

(0, -3) and (1, 3)

Next, plug in and solve!

3-(-3)/ 1-0= 6

The slope is 6

2.) We can use this same equation for the problem and plug in!

(-1, 5) (2,-7)

-7- 5/ 2-(-1)= -4

The slope is -4!

4.) Use the same equation and find the slope!

(8, 1) and (8, 2)

2-1/ 8-8= undefined

Because we cannot divide by a 0 the slope is undefined!

Step-by-step explanation:

Let the area of rectangle with given points are as follows :

A(-3,3)

B(3,2)

C(4,-1) = C( x1,y1)

D(-2,-3) = D( x2, y2)

Now,

(x2-x)^2 +( y2 - y1)^2

= root under (-2-4)^2 + ( -3+1)^2

= root under (-6)^2 + (-2)^2

= root under 36 + 4

= root under 40

= 2root 10

Therefore; the unit number if CD is 2 root 10.

the local time in Anchorage when the image was taken was 5:00 PM, and the local day was Dec. 2, 2011.

To determine the local time and day in Anchorage when the satellite image was taken, we need to consider the time difference between the Prime Meridian (0 degrees longitude) and Anchorage, Alaska (approximately 150 degrees west longitude).

Each time zone is approximately 15 degrees wide, representing a one-hour difference in local time. Anchorage is in the Alaska Standard Time (AKST) zone, which is typically UTC-9 (nine hours behind UTC) during standard time.

Given that Anchorage is about 150 degrees west of the Prime Meridian, we can calculate the time difference as follows:

150 degrees / 15 degrees per hour = 10 hours

Therefore, when the image was taken at 0300Z (3:00 AM), Dec. 3, 2011, at the Prime Meridian, the local time and day in Anchorage were:

3:00 AM - 10 hours = 5:00 PM, Dec. 2, 2011

So, the local time in Anchorage when the image was taken was 5:00 PM, and the local day was Dec. 2, 2011.

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Step-by-step explanation: i dont have an explenation but i think its 2

Answer:

-2

Step-by-step explanation:

Let's solve your equation step-by-step

4x−3=−11

Step 1: Add 3 to both sides

4x−3+3=−11+3

4x=−8

Step 2: Divide both sides by 4

4x

4

=

−8

4

x=−2

Answer:

\(4x + ( - 3) = - 11 \\ 4x (- 3) = - 11 \\ 4x = - 11 + 3 \\ 4x = - 8 \\ x = \frac{ - 8}{4} \\ x = - 2\)

Answer:

  y = 1/2x -2

Step-by-step explanation:

You want the equation of a line parallel to y = 1/2x +6 that contains the point (0, -2), written in slope-intercept form.

The slope of the line you want will be the same as the slope of the line you have. That is because parallel lines have the same slope.

The equation you are given is written in slope-intercept form:

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

Comparing this form to the given equation, you see that ...

  m = 1/2 . . . . . the slope of the line you want

The "intercept" in the "slope-intercept" form is the value of y when x=0. The point you are given, (0, -2), tells you that y = -2 when x = 0. So, the "intercept" in your slope-intercept equation is -2.

The equation you want is the equation of a line with slope 1/2 and a y-intercept of -2.

  y = 1/2x -2

The equation of the line that is parallel to line EF and passes through point (0, -2) is y = (1/2)x - 2.To find an equation of a line that is parallel to line EF and passes through point (0, -2), we need to use the fact that parallel lines have the same slope. The slope of line EF is 1/2, so the slope of the parallel line will also be 1/2.

We can start by using the point-slope form of the equation of a line: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Plugging in m = 1/2 and (x1, y1) = (0, -2), we get:

y - (-2) = (1/2)(x - 0)

Simplifying this equation gives:

y + 2 = (1/2)x

To get this equation in slope-intercept form (y = mx + b), we can isolate y:

y = (1/2)x - 2

So the equation of the line that is parallel to line EF and passes through point (0, -2) is y = (1/2)x - 2. Note that this line intersects the y-axis at y = -2, which is the y-intercept.

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Answer:

-8

Step-by-step explanation:

If you were to do integer operations, then this question algebraically would mean -4-4=-8 because going to the left on a number line is meaning subtraction/negative and going to the right is addition/positve!

Therefore, the answer is -8 :)

Answer:

4w-8

Step-by-step explanation:

4(w-2)

(4*w)-(4*2)

4w-8

Answer:

4w-8

Step-by-step explanation:

4(w - 2)

Distribute

4*w - 4*2

4w-8

The given statement, "by the Invertible Matrix Theorem if the equation \(Ax^{(0)}\)has only the trivial solution, then the matrix is invertible. Thus, A must also be row equivalent to the identity matrix," is true (T).

This is because the theorem states that a square matrix is invertible if and only if it can be transformed into the identity matrix by a sequence of elementary row operations. And if the equation \(Ax^{(0)}\) only has the trivial solution, then the matrix must be row equivalent to the identity matrix, implying that it is invertible.

The Invertible Matrix Theorem is a powerful result in linear algebra that allows us to determine whether a square matrix is invertible or not. It states that a square matrix is invertible if and only if its determinant is nonzero, which is equivalent to saying that the matrix can be transformed into the identity matrix by a sequence of elementary row operations.

If the matrix is not invertible, then its determinant is zero, and it is said to be singular. In this case, the equation \(Ax^{(0)}\) will have infinitely many solutions or no solutions at all, depending on the specific values of the right-hand side vector.

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Answer:

x is 5

ST is 45

Step-by-step explanation:

In the given figure

∵ m is the bisector of the segment SU

→ That means m intersects SU at the midpoint of SU

∵ m ∩ SU at point T

∴ T is the midpoint of SU

→ The midpoint of a segment divides it into two equal parts

∵ The point T divides SU to ST and TU

∴ ST = TU

∵ ST = 9x

∵ TU = 4x + 25

→ Equate them

∴ 9x = 4x + 25

→ Subtract 4x from both sides

∵ 9x - 4x = 4x - 4x + 25

∴ 5x = 25

→ Divide both sides by 5

∴ x = 5

→ Substitute the value of x in ST

∵ ST = 9(5) = 45

∴ ST is 45

Step-by-step explanation:

5k-12k-1+k

= 5k-12k+k-1

= -6k-1

Answer:

mRT = 4√13 ≈ 14.42

mST = 10√2 ≈ 14.14

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Since we have right triangles, in order to find the missing side, we use Pythagorean Theorem:

mTR:

12² + 8² = c²

144 + 64 = c²

c² = 208

c = √208 = 4√13

mST:

15² = 5² + b²

225 - 25 = b²

b² = 200

b = √200 = 10√2

To get your decimals, simply evaluate the square roots:

4√13 = 14.4222

10√2 = 14.1421

Answer:

6. 56.3 degrees.

7. 70.5 degrees.

Step-by-step explanation:

6. We are given the opposite and adjacent side lengths, so we can use tangent to solve this (TOA = Tangent; Opposite over Adjacent).

tan(R) = 12 / 8

tan(R) = 3 / 2

R = cotan(3/2)

R = 56.309932474020213

So, the measure of angle R is about 56.3 degrees.

7. We are given the adjacent and the hypotenuse, so we can use cosine to solve this (CAH = Cosine; Adjacent over Hypotenuse).

cos(R) = 5 / 15

cos(R) = 1/3

R = sec(1/3)

R = 70.528779365509

So, the measure of angle R is about 70.5 degrees.

Hope this helps!