Select the expression that is equal to (9x + 3)– (5x-7).
Α 4x + 10
B 14x-4
C14x + 10
D 4x-4

Answer:

The second one and the last one  

We can see that the statement is not always true for any vectors u and v in V3.

The statement is not always true.

The cross product of vectors u and v in V3 is a vector that is orthogonal to both u and v. That is,

u x v ⊥ u and u x v ⊥ v

However, this does not necessarily mean that (u x v) * u = 0 for all u and v in V3.

For example, let u = <1, 0, 0> and v = <0, 1, 0>. Then,

u x v = <0, 0, 1>

(u x v) * u = <0, 0, 1> * <1, 0, 0> = 0

So in this case, the statement is true. However, consider the vectors u = <1, 1, 0> and v = <0, 1, 1>. Then,

u x v = <1, -1, 1>

(u x v) * u = <1, -1, 1> * <1, 1, 0> = 0

So in this case, the statement is also true. However, if we take the vector u = <1, 0, 0> and v = <0, 0, 1>, then

u x v = <0, 1, 0>

(u x v) * u = <0, 1, 0> * <1, 0, 0> = 0

So in this case, the statement is true as well.

However, if we take the vector u = <1, 1, 1> and v = <0, 1, 0>, then

u x v = <1, 0, 1>

(u x v) * u = <1, 0, 1> * <1, 1, 1> = 2

So in this case, the statement is not true.

Therefore, we can see that the statement is not always true for any vectors u and v in V3.

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Therefore, Bonnie mixes approximately 0.67 milliliters of vinegar with every 1 milliliter of soy sauce.

To determine how much soy sauce Bonnie mixes with every 1 milliliter of vinegar, we divide the total amount of soy sauce (150 milliliters) by the amount of vinegar (100 milliliters):

150 milliliters of soy sauce / 100 milliliters of vinegar = 1.5 milliliters of soy sauce per 1 milliliter of vinegar

Therefore, Bonnie mixes 1.5 milliliters of soy sauce with every 1 milliliter of vinegar.

To determine how much vinegar Bonnie mixes with every 1 milliliter of soy sauce, we divide the total amount of vinegar (100 milliliters) by the amount of soy sauce (150 milliliters):

100 milliliters of vinegar / 150 milliliters of soy sauce ≈ 0.67 milliliters of vinegar per 1 milliliter of soy sauce

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Therefore, the value of the integral ∫2^6 (5f(x))^2 dx is 900.

If the average value of the function f on the interval 2 ≤ x ≤ 6 is 3, we can express it mathematically as:

(1/(6 - 2)) ∫2^6 f(x) dx = 3

Simplifying this equation, we have:

(1/4) ∫2^6 f(x) dx = 3

Now, let's calculate the value of the integral ∫2^6 (5f(x))^2 dx:

∫2^6 (5f(x))^2 dx = 25 ∫2^6 (f(x))^2 dx

Since the average value of f on the interval 2 ≤ x ≤ 6 is 3, we can substitute it into the equation:

25 ∫2^6 (f(x))^2 dx = 25 * (4/1) * 3^2

Simplifying further, we get:

25 * (4/1) * 3^2 = 25 * 4 * 9 = 900

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Answer:

¼ remaining

Step-by-step explanation:

Convert to common numerator of 12:

1/6 = 2/12

1/4 = 3/12

1/3 = 4/12

Total: 9/12

1 - 9/12 = 3/12 = ¼

The  difference between addition and subtraction of polynomials is that addition involves like terms  and subtraction  involves taking one polynomial away from another.

A polynomial is characterized as an expression that is composed of variables, exponents, and constants, that are combined utilizing numerical operations such as addition, subtraction, multiplication, and division (No division operation by a variable).In addition to polynomials, the like terms are included whereas, in subtraction, the like terms are subtracted. The addition of polynomials involves combining like terms to form a single expression, while subtraction involves taking one polynomial away from another. In addition, when subtracting polynomials, the sign of each term in the second polynomial needs to be changed (from positive to negative, or from negative to positive).

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Answer:

∠C = 70°

Step-by-step explanation:

When dealing with similar triangles, the angles of both triangles are equal. With that being said, the letters of those angles typically corralete as well. In this case, we have ΔABC and ΔDEF. Based on the way those letters are arranged, we can assume the following:

∠A = ∠D

∠B = ∠E

∠C = ∠F

The question tells us ∠A = 36°. Since we know that ∠A is equal to ∠D, we know that ∠D also equals 36°. The question also tells us ∠E = 74°. Once again, since we know that ∠E is equal to ∠B, we know that ∠B is 74° as well.

Now we use that information to solve for ∠C. The sum of the angles of a triangle always adds up to 180°. Because we know that, we can solve easily:

180 - (36 + 74) = 70

∴ ∠C = 70°

The solubility of BaCrO4 in a 0.0180 M BaCl2 solution is 6.50 x 10^-6 M.

We are given that;

Temperature= 25

bacl2 solution= 0.0180

Now,

In a 0.0180 M BaCl2 solution, we have to consider that some of the Ba2+ ions come from the BaCl2 salt, which is highly soluble and dissociates completely in water. Therefore, the concentration of Ba2+ in the solution is not equal to x, but rather 0.0180 + x. The concentration of CrO4^2- is still equal to x, since it only comes from the dissolution of BaCrO4. Then we have:

Ksp = (0.0180 + x)x

Solving for x, we get:

(0.0180 + x)x = 1.17 x 10^-10 x^2 + 0.0180x - 1.17 x 10^-10 = 0 Using the quadratic formula, we get: x = [-0.0180 ± √(0.0180^2 + 4(1.17 x 10^-10))] / 2 x ≈ -0.0180 or x ≈ 6.50 x 10^-6 M

We reject the negative value of x, since it does not make sense for a concentration to be negative.

Therefore, by the solution the answer will be 6.50 x 10^-6 M.

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8 miles did i traveled or we can say the correct answer is 8 miles.

To take a taxi it costs 3. 00 plus an additional 2. 00 per mile traveled  spent exactly 20 on a taxi witch includes the 1 tip left

Given:

Taxi it costs 3. 00.

Spent exactly 20 on a taxi witch includes the 1 tip you left.

20 - 1 = 19.

Without a tip, the price is $19.

3. 00 plus an additional 2. 00 per mile traveled  

19 = 3 + 2 x

16 = 2 x

x = 8

Therefore, 8 miles did  traveled.

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you traveled a distance of 8 miles.

Given that,

Taxi cost = $2. 00

Additional cost = $20

Cost of tip =  $1 tip

The cost for the distance traveled would be,

⇒ $2.00 x (x miles) = $2x

Adding the initial fare of $3.00,

The total cost of the taxi ride would be,

⇒ $2x + $3.00

And we also know that you left a $1.00 tip,

so the total cost becomes,

⇒ $2x + $3.00 + $1.00 = $20.00

Now, we can solve for x,

⇒ $2x + $4.00 = $20.00

⇒ $2x = $16.00

⇒ x = 8 miles

Therefore, you traveled 8 miles.

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Answer:

The GCF (HCF) of the numerical factors −12,−6,−4,−3,−2,−1,9,9,18,18,36,36 - 12 , - 6 , - 4 , - 3 , - 2 , - 1 , 9 , 9 , 18 , 18 , 36 , 36 is 12 .

Step-by-step explanation:

Answer:

$1,440; Possible work: Since 300 4 5 5 60, Kendra gets paid $60 per day: 60 3 24 5 1,440. So, she gets paid $1,440 for working 24 daysStep-by-step explanation:

HOPE THIS HELPS

Answer:

1440 = x

Step-by-step explanation:

We can use a ratio to solve

300 dollars      x dollars

----------------- = ------------

  5 days               24 days

Using cross products

300*24 = 5x

Divide each side by 5

300*24/5 = 5x/5

1440 = x

All the above can represent stable interhalogen compounds. Interhalogen compounds are formed when different halogens combine with each other.

The general formula for interhalogen compounds is given by XYn, where X and Y represent different halogens, and n represents the number of Y atoms bonded to the X atom. The interhalogen compounds can have different stoichiometries, resulting in different values of n. Therefore, all the given formulas, XY, XY2, XY3, and XY5, can represent stable interhalogen compounds, depending on the specific combination of halogens and their bonding arrangements.

Hence, none of the given formulas does not exist for interhalogen compounds, as all of them can be valid representations of stable interhalogen compounds.

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The focus is the point inside a parabola that helps determine the shape of the curve.

A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.

The equation of a parabola:

y = a(x - h)² + k

We have,

A parabola is a type of curve that is formed when a plane intersects a cone at an angle that is parallel to one of the cone's sides.

One of the key defining features of a parabola is that all points on the curve are equidistant from a fixed point, known as the focus, and a fixed line, known as the directrix.

The focus is located inside the parabola, and its distance from the directrix is equal to the distance from any point on the parabola to the directrix.

This property allows us to use the focus and directrix to determine the shape and location of the parabola.

Thus,

The focus is the point inside a parabola that helps determine the shape of the curve.

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Answer:

x=2

Step-by-step explanation:

2x2 =4

4+4=8

8<10

The coordinates of the points after the translation are:

All the points are translated on the same way, so let's analyze the translation of P to P'.

The coordinates of Pare (5, 8), and P' is at (3, 4)

Then the translation is:

(3, 4) - (5, 8) = (3 - 5, 4 - 8) = (-2, -4)

So we just need to subtract 2 to the x-value and 4 to the y-value.

The coordinates of Q and R are:

Q = (7, 8)

R = (8, 5)

Then the translated points are:

Q' = (7 - 2,8 - 4) = (5, 4)

R' = (8 - 2, 5 - 4) = (6, 1)

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Answer:

(-6, 7), (-4, 7), (-7, 5), (-2, 5)

Step-by-step explanation:

(2, -2) -> (2-8, -2+9) -> (-6, 7)

(4, -2) -> (4-8, -2+9) -> (-4, 7)

(1, -4) -> (1-8, -4+9) -> (-7, 5)

(6, -4) -> (6-8, -4+9) -> (-2, 5)

Answer:

52%

Step-by-step explanation:

The entire shape if 25 squares, the shaded area if 13 squares. Set it up as 13/25 to get a decimal, 0.52. Move the decimal place two over to convert to a percentage, 52%

Given,

The carrot comes in pack of 80

Zunchie comes in the pack of 40

The paper comes in the pack of 50.

To find,

The fewest number of each kind of seed that farmer brown will buy.

Solution,

To find least no of each kind, we must take the LCM of the above numbers such that,

The prime factors of the given numbers are :

80 = 2 × 2 × 2 × 2 × 5

40 = 2 × 2 × 2 × 5

50 = 2 × 5 × 5

LCM of 80,40 and 50 = 2 × 2 × 2 × 2 × 5 × 5

= 400

He should buy,

400/80 = 5 carrot seeds

400/40 = 10 zunchie seeds

400/50 = 8 papper seeds.

Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

The angle of elevation of the sun is 18°.

According to the question,

We have the following information:

A 130 foot tall building has a shadow that is 400 feet long (this is the correct question).

Now, let's take the angle of elevation of the sun to be x°.

Now, the height of the building will become perpendicular and the shadow will serve as the base for the angle of elevation.

We will use the trigonometric function tan.

Tan x = Perpendicular/base

Tan x = 130/400

Tan x = 0.325

Now, the value of x is 18°.

Hence, the angle of elevation of the sun is 18°.

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For the truth, table represented the statements that are true for rows A and E are

This is further explained below.

Generally, A truth table is a mathematical table that is used in logic, more specifically in linkage with Boolean algebra, boolean functions, and propositional calculus.

It is used to set out the design strength of logical gestures on each of their functional arguments, such that, for each combination of numbers taken by their logical variables.

A truth table is also known as a truth matrix.

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CQ in the correct order is given below

Answer:

a) x=7/2

Step-by-step explanation:

a) since f(x) is=0, plug in 0 to → f(x)=2x-7 [this f(x)]. you would get 0=2x-7. solve for x by adding 7 and dividing by 2 which you get x=7/2.

Then value of \(x\) is 7/2

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input . Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.

given function:

\(f(x)\)= 2\(x\) -7

So,\(f(x)\)= 0

2\(x\) -7=0

2\(x\)= 7

\(x\)= 7/2

The graph is attached below.

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Answer:

(x−1)(x−2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I am using trig identities and the formula for the difference of the cos of 2 angles to solve this. I'll do the steps one at a time. It's super tricky. First I'm just going to work on simplifying the sec² part and then I'll introduce the sin²(x) - sin⁴(x) when I need it. Beginning with the identity for the difference of the cos of 2 angles, knowing that sec²(x) = \(\frac{1}{cos^2(x)}\):

\(sec^2(\frac{\pi}{2}-x)=\frac{1}{cos^2(\frac{\pi}{2}-x )}\) and expand that using the formula for the difference:

\(\frac{1}{cos(\frac{\pi}{2}-x)cos(\frac{\pi}{2}-x) }=\) \(\frac{1}{(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x))(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x)) }\) and all of that simplifies down to

\(\frac{1}{(0cos(x)+1sin(x))(0cos(x)+1sin(x))}\) which simplifies further to

\(\frac{1}{(sin(x))(sin(x))}=\frac{1}{sin^2(x)}\) Now we'll bring in the other term. This is what we have now:

\(\frac{1}{sin^2(x)}(\frac{sin^2(x)-sin^4(x)}{1})\) and distribute in to get:

\(\frac{sin^2(x)}{sin^2(x)}-\frac{sin^4(x)}{sin^2(x)}\) which simplifies to

\(1-sin^2(x)\) and that, finally, simplifies down to a simple

\(cos^2(x)\)

In 10 seconds, Ruben will have hopped a total distance of 40 yards (10 * 4 = 40) to overtake Judy in the race.

Ruben will have to hop a total distance of 40 yards to overtake Judy in the potato sack race.

To determine the distance Ruben needs to cover, we first need to calculate the time it takes for Ruben to catch up with Judy. Since Judy has a head start of 20 yards, Ruben needs to close this gap to overtake her.

Judy's rate of hopping is 2 yards per second, while Ruben's rate is 4 yards per second. Therefore, Ruben is gaining on Judy at a rate of 2 yards per second (4 - 2 = 2).

Since the head start is 20 yards, Ruben will catch up with Judy in 10 seconds (20 / 2 = 10). During this time, Ruben will be hopping at a rate of 4 yards per second.

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Answer:

Step-by-step explanation:

\(\left(5x^2+3x+4\right)-\left(2x^2+1\right)-\left(7x+3\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\\\=5x^2+3x+4-\left(2x^2+1\right)-\left(7x+3\right)\\\\-\left(2x^2+1\right)\:\::-2x^2-1\\\\=5x^2+3x+4-2x^2-1-\left(7x+3\right)\\\\-\left(7x+3\right) \:\: : -7x-3\\\\=5x^2+3x+4-2x^2-1-7x-3\\\\Simplify\\\\=3x^2-4x\)

Answer:

  (a)  $810.45

Step-by-step explanation:

You want the value of an investment of $300 earning 5% interest compounded quarterly for 20 years.

The compound interest formula tells you the value is ...

  A = P(1 +r/n)^(nt)

where P = 300, r = 0.05, n = 4, t = 20.

Using the given parameters in the given equation, you find the account value to be ...

  A = $300(1 +0.05/4)^(4·20) ≈ $810.45

__

Additional comment

The "rule of 72" tells you the account value will approximately double in a number of years equal to 72 divided by the interest rate percentage: 72/5 = 14.4 years. After 20 years, it will be worth more than that doubled amount, $600. This only leaves one reasonable answer choice.

<95141404393>

Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"