1/3 of x is 14 plsss helppp

Answer:

we need context to answer your question

Step-by-step explanation:

Answer:

8 is the hypotenuse.

sen(angle) = x/8

sen60 = x/8

0.87 = x/8

0.87·8 = x

x = 6.96

The inverse of the function is \(\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right]\)

For a 2 by 2 matrix, the inverse is generally expressed as:

\(\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] ^{-1}=\frac{1}{ad-bc}\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right]\)

Since the given matrix is a square matrix and 2 by 2, therefore it will have an inverse.

Determine the determinant

|A| = 5(5) - 2(12)

|A| = 25 - 24

|A| = 1

Substitute the values into the formula above

\(\left[\begin{array}{ccc}5&12\\2&5\\\end{array}\right] ^{-1}=(1)\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right]\)

Hence the inverse of the function is \(\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right]\)

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Answer:

7x

Step-by-step explanation:

When combining like terms, you keep the bases the same and add the constants.

the "x's" are the base and the constants are 5 and 2:

(5 + 2)x = 7x

The directional derivative of f at P in the direction pointing to the origin is 9/√51.

To find the directional derivative of f(x,y,z) = xy + z³ at the point P = (5,-5,-1) in the direction pointing to the origin, we need to find the gradient of f at P and then take the dot product of the gradient with the unit vector in the direction pointing to the origin.

First, let's find the gradient of f:

∇f = (∂f/∂x, ∂f/∂y, ∂f/∂z) = (y, x, 3z²)

At P = (5,-5,-1), the gradient is ∇f = (-5, 5, 3).

To find the unit vector in the direction pointing to the origin, we can use the formula:

u = -P/||P||

where ||P|| is the magnitude of P. We have:

||P|| = √(5² + (-5)² + (-1)²) = √51

So, the unit vector in the direction pointing to the origin is:

u = -P/||P|| = (-5/√51, 5/√51, 1/√51)

Finally, the directional derivative of f at P in the direction pointing to the origin is:

DPO f(P) = ∇f · u = (-5, 5, 3) · (-5/√51, 5/√51, 1/√51) = (-25 + 25 + 9)/√51 = 9/√51.

Therefore, the directional derivative of f at P in the direction pointing to the origin is 9/√51.

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The surface area of the new single-serving soup can, with a volume ratio of 24:8, will be approximately 11.164 square inches.

To determine the surface area of the new single-serving soup can, we can use the concept of ratios and proportions.

Let's assume the radius of the large can is represented by R and the radius of the single-serving can is represented by r.

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.

We know that the large can has a volume of 24oz, so we have:

24 = πR^2h

Now, we need to find the height of the single-serving can. Since the large can and the single-serving can have the same height (we assume), we can set up a ratio of their volumes:

24/8 = πR^2h / πr^2h

Simplifying the equation, we have:

3 = (R^2h) / (r^2h)

Since the height cancels out, we can rewrite the equation as:

3 = R^2 / r^2

To find the ratio of the surface areas, we square both sides of the equation:

9 = (R^2 / r^2)^2

Now, we can find the surface area ratio:

100.48 / A = 9

Solving for A (the surface area of the single-serving can), we have:

A = 100.48 / 9

Calculating the value, we find that the new single-serving surface area will be approximately 11.164 in².

Therefore, the new single-serving soup can will have a surface area of approximately 11.164 square inches.

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The most conservative cutover method when converting to a new system is the Phased Cutover.

This method allows for the implementation of the new system in multiple stages, thereby reducing risk. First, the new system is installed and tested. Next, a small portion of data is moved to the new system.

After data is moved, the new system is tested again. This process is repeated until all data has been moved and tested, and the new system is running smoothly.

Once the new system is running successfully, the old system is discontinued.

The phased cutover method ensures that the new system is functioning correctly, and gives time for system users to get used to the new system, before the old system is turned off.

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Kristin boards a ferris wheel with a radius of 13 meters at the 3-o'clock position and rides it for one full rotation. To represent the distance Kristin has traveled along the circular path since the ride started, we use s. We are asked to imagine an angle centered at the ferris wheel's center that subtends the path Kristin travels. This can be solved by the concept of Circles.

Let's start by drawing a diagram of the situation. We draw a circle with a radius of 13 meters to represent the ferris wheel. We place Kristin at the 3-o'clock position on the circle. To represent the distance Kristin has traveled, we draw a line segment from the center of the circle to a point on the circle where Kristin currently is. Let's call this point P. We label the length of this line segment as s.

Now, we know that Kristin rides the ferris wheel for one full rotation. This means that the ferris wheel also makes a full rotation. Therefore, the angle subtended by the path Kristin travels is 360 degrees.

To find the length of s, we need to use some trigonometry. We can see that triangle OAP (where O is the center of the circle) is a right-angled triangle, with OA being the radius of the circle and OP being s. We can use the Pythagorean theorem to find the length of AP:

AP^2 = OA^2 - OP^2

AP^2 = 13^2 - s^2

AP = sqrt(169 - s^2)

Now, we can use trigonometry to find the length of s. We know that the angle subtended by the path Kristin travels is 360 degrees, or 2π radians. Therefore, the angle subtended by arc AP is also 2π radians. We can use the formula for the length of an arc:

length of arc = radius x angle in radians

So, we have:

AP = radius x angle in radians

sqrt(169 - s^2) = 13 x 2π

169 - s^2 = 169π^2

s^2 = 169 - 169π^2

s ≈ 19.6 meters

Therefore, Kristin travels approximately 19.6 meters along the circular path during the ride.

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The three digit number is 727 while the one digit number is 4

Given data

The sum of a three-digit number and a one-digit number is 731.

The product of the numbers is 2,908

let three digit number be x, y, and z

let the one digit be w

The sum

xyz + w =731

xyz * w = 2,908

making xyz the subject of formula

xyz = 731 - w

plugging in xyz into xyz * w = 2,908

( 731 - w ) * w = 2908

731w - w^2 = 2908

w^2 - 731w + 2908 = 0

solving the quadratic equation gives

w = 727 or 4

since w is a one digit number then w = 4

plugging in w = 4 into xyz + w =731 we have

xyz + w =731

xyz + 4 =731

xyz =731 - 4

xyz  = 727

Hence the three digit number is 727 while the one digit number is 4

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The probability that a randomly chosen integer between 1,000 to 1,999 is divisible by 5 is 40%.

An integer is divisible by 5 if and only if its units digit is either 0 or 5. Between 1,000 and 1,999, there are 1,000 integers. Among these integers, there are 200 integers whose units digit is 0, and 200 integers whose units digit is 5 (the other digits can be any of the 10 possible digits).

Therefore, there are a total of 200 + 200 = 400 integers that are divisible by 5. The probability of choosing one of these integers at random is:

P(divisible by 5) = number of integers divisible by 5 / total number of integers

= 400 / 1000

= 0.4

= 40%

Therefore, the probability that a randomly chosen integer between 1,000 to 1,999 is divisible by 5 is 40%.

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The length of arc AB in terms of pi is 16pi.

We have,

To find the length of the arc AB in terms of pi, we can use the formula:

Length of arc = (angle intercepted by arc / 360 degrees) * (circumference of the circle)

Given:

Diameter = 32 (which means the radius is half of the diameter, so the radius is 32/2 = 16)

Angle intercepted by arc AB = 180 degrees

First, we need to find the circumference of the circle using the formula:

Circumference = 2 x pi x radius

Circumference = 2 x pi x 16 = 32 x pi

Now, we can calculate the length of arc AB:

Length of arc AB = (180 / 360) x (32 x pi)

Simplifying:

Length of arc AB = (1/2) x (32 x pi)

Length of arc AB = 16 x pi

Therefore,

The length of arc AB in terms of pi is 16pi.

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The total ways are there for her to select the schedule for the week =  \(\frac{22!}{15!}} \\\\\)  

Given, She makes 22 different dishes for each of the seven days of the week.

Total ways are there for her to select the schedule for the week = \($ ^{22}P_7\)

As We know,

\($ ^nP_k=\frac{n!}{(n-k)!}} \\\)

\($ ^{22}P_7=\frac{22!}{(22-7)!}} \\\\\)

\(\ $ ^{22}P_7=\frac{22!}{15!}} \\\\\)

Hence, The total ways are there for her to select the schedule for the week =  \(\frac{22!}{15!}} \\\\\)  

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Answer:d

Step-by-step explanation:

The required function is \(P(x)=x^2+3x+154\). So, option D is correct.

Important information:

We need to find the function p(x).

If \(x=c\) is a solution of \(p(x)=0\), then \((x-c)\) is a factor of p(x).

It means \((x+14)\) and \((x-11)\) are two factor of p(x).

\(P(x)=(x+14)(x-11)\)

\(P(x)=x^2-11x+14x+154\)

\(P(x)=x^2+3x+154\)

Therefore, the correct option is D.

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The correct ratio of cherry halves to white grape halves in the mixture is 3:5.

The inspector noticed one jar has 12 cherry halves and 20 white grape halves. To fix this error, the food packing company should adjust the ratio of cherries to white grapes in the mixture.

Here's how to do it:

Let C be the number of cherry halves in the mixture and G be the number of white grape halves.

According to the given ratio, the proportion of cherry halves in the mixture is given by:

C / (C + G) = 3 / 11

To convert this proportion to a fraction, cross-multiply and simplify:

11C = 3(C + G)8C

= 3G

This means there are 3 white grape halves for every 8 cherry halves.

The total number of fruit halves in the mixture is:

C + G = (8/3)C

So for every 11 fruit halves, there are 8 cherry halves and 3 white grape halves.

Now consider the jar with 12 cherry halves and 20 white grape halves.

This means there are a total of 32 fruit halves in the jar.

To determine the correct number of cherry halves in the jar, use the ratio of cherry halves to fruit halves:

12 / 32 = 3 / 8

Solve for the number of cherry halves in the jar:

C = (12/32) * (8)

= 3

To determine the correct number of white grape halves in the jar, use the ratio of white grape halves to fruit halves:

20 / 32 = 5 / 8

Solve for the number of white grape halves in the jar:

G = (20/32) * (8)

= 5

The correct ratio of cherry halves to white grape halves in the mixture is 3:5.

Therefore, the company should adjust the mixture to add more white grape halves to future jars of fruit cocktail.

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Given a rectangle with the length of x+2 and width of 3x - 1. The area of a rectangle is given by the product of the length and width.

Thus, the area of this rectangle can be found as follows:Area = (x+2)(3x-1

Area = 3x^2 - x + 6x - 2

Area = 3x^2 + 5x - 2

Hence, we can express the area of the given rectangle in terms of the variable x as 3x^2 + 5x - 2. Therefore, the correct option is none of the provided options.

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Answer:

BC ≈ 8.9 units

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos36° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AB}\) = \(\frac{BC}{11}\) ( multiply both sides by 11 )

11 × cos36° = BC , then

BC ≈ 8.9 ( to the nearest tenth )

Answer:

8.9

Step-by-step explanation:

When the full moon is at position 3, positions 9 and 12 experience low tide.

The correct option is 9 and 12.

The positions of the moon and the sun have an impact on the tides of the Earth's oceans.

What is a tide?

Tides are the regular rise and fall of the sea level due to the gravitational influence of the Moon and the Sun on the Earth. The gravitational pull of the Moon on the Earth produces two tidal bulges, one on the side of the Earth facing the Moon and one on the side opposite the Moon. The Moon's gravitational pull causes high tides in the area of the bulge and low tides elsewhere on the Earth. The tides are affected by the location of the Sun and the Moon as they orbit the Earth.

In order to determine which two positions experience low tide, the Moon's position must be considered.

When the Moon is directly overhead or opposite to the Earth, its gravitational pull has the greatest effect, causing the greatest difference between high and low tides, also known as spring tides.

When the Moon is at a 90-degree angle to the Earth, its gravitational pull is less, causing a smaller difference between high and low tides, also known as neap tides.

In the given case, when the full moon is at position 3, positions 9 and 12 experience low tide.

Thus, the correct option is 9 and 12.

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No, it is not possible for Player B to have a higher batting average for the entire season if Player A has a greater batting average in both the first and second halves of the season.

Since Player A has a greater batting average in both halves of the season, it means that Player A has more hits per at-bat compared to Player B in each half. Therefore, Player A would have a higher overall average for the entire season.

If Player B were to have a higher batting average for the entire season, it would mean that Player B performed significantly better in the second half compared to the first half to offset the lower average in the first half. However, the given information states that Player A has a higher average in both halves, making it impossible for Player B to have a higher average for the entire season.

Therefore, the answer is that it is not possible for Player B to have a higher batting average for the entire season.

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Answer:

Bottom right because there are only 6 outcomes and assumes the marble you pick from the first bag is red.

The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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Answer:

d) 5

Step-by-step explanation:

we can observe that the x-value 5 appears twice in the relation. However, in a function or a relation, each x-value should only have one corresponding y-value. Therefore, the repetition of (5, 1) and (5, 2) indicates an inconsistency or ambiguity in the relation. As a result, 5 is not a valid x-value in the domain.

Answer:

26

Step-by-step explanation:

I think dont know

The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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Answer:

A'B"

Step-by-step explanation:

Answer:

The slope of the line is 6/7

Step-by-step explanation:

A pavement 4m wide is constructed along the outer side of the boundary of a square shaped ground having it's side of 13m length. The cost of levelling the pavement at the rate of Rs 1.25 per square meter is Rs 340.

As per given  information,

Side of a square shaped ground = 13 m

Width of pavement constructed = 4 m

We need to find the cost of levelling the pavement at the rate of Rs 1.25 per square meter.

Area of the square shaped ground = Side × Side= 13 × 13= 169 sq.m

Area of the square shaped ground along with pavement constructed

= (13 + 8) × (13 + 8)

= 21 × 21

= 441 sq.m

Area of the pavement constructed

= Area of the square-shaped ground along with pavement constructed - Area of the square shaped ground

= 441 - 169

= 272 sq.m

Cost of levelling 1 sq.m of pavement = Rs 1.25

Cost of levelling 272 sq.m of pavement = 272 × Rs 1.25 = Rs 340

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This is an observational study because this is taken as observing all possible ways.

An observational review is utilized to respond to an exploration question dependent simply upon what the scientist notices. There is no impedance or control of the examination subjects, and no control and treatment gatherings. These examinations are much of the time subjective in nature and can be utilized for both exploratory and logical examination purposes. In observational examinations, the analyst isn't permitted to control anything. They just notice and gather patterns inside the set up and hypothesize from those outcomes. Observational examination takes into consideration more precise information assortment, eliminating predispositions and inspecting blunders. Notwithstanding, it tends to be tedious because of extended periods of time of dormancy.

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The equation can be used to determine ounces of pasta are in one serving would be; 3x + 6y = 42

An equation is an expression that shows the relationship between two or more numbers and variables, thus the mathematical equation is a statement with two equal sides and an equal sign in between.

We are given that Anthony cooks 6 servings of a meal containing pasta and meat.

Thus each serving has 3 ounces of meat and a certain amount of pasta. the recipe makes a total of 42 ounces.

We know that since 6 ounces create 6/7 of a serving,

3x + 6y = 42

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We can conclude that the length of DA is 6.

For a quadrilateral defined as ABCD, the vertices of the quadrilateral are the points in the name, so the four vertices are the points A, B, C, and D.

These are given, so we know that the vertices are the points:

A(-5,-4)

B (1,4)

C(4,0)

D(1,-4)

Now we want to find the length of DA, this is the distance between points D and A.

Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Then for the case of the points:

A (-5, -4) and D (1, -4)

the distance is given by:

\(d = \sqrt{(1 - (-5))^2 + (-4 - (-4))^2} = \sqrt{(1 + 5)^2} = 6\)

Then we can conclude that the length of DA is 6.

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