please help, im not looking for the answer to this but im asking how many solutions are in 10(x + 4) – 3 = 14x + 1

The angle θ by taking the inverse cosine of the dot product divided by the product of the magnitudes: θ = acos((u · v) / (|u| |v|)).

The angle θ between the vectors u and v can be found by taking the inverse cosine of the dot product divided by the product of their magnitudes.

To find the angle θ between the vectors u and v, we need to calculate the dot product of the two vectors and divide it by the product of their magnitudes. The dot product of two vectors u and v is given by the formula u · v = |u| |v| cos(θ), where |u| and |v| are the magnitudes of u and v, respectively, and θ is the angle between them.

In this case, u = cos(π/3) i + sin(π/3) j and v = cos(3π/4) i + sin(3π/4) j. We can calculate the magnitudes of u and v as |u| = √(cos²(π/3) + sin²(π/3)) and |v| = √(cos²(3π/4) + sin²(3π/4)).

Next, we calculate the dot product of u and v as u · v = cos(π/3) * cos(3π/4) + sin(π/3) * sin(3π/4).

Finally, we find the angle θ by taking the inverse cosine of the dot product divided by the product of the magnitudes: θ = acos((u · v) / (|u| |v|)).

By evaluating this expression, we can determine the angle θ between the vectors u and v.

Learn more about dot product here:

https://brainly.com/question/30404163

#SPJ11

Answer:

v=72 in3

sa=104 in2

Step-by-step explanation:

hope this helps!

let's say we have two points A(a , b) and B(c , d) partitioned by a point C, since we're dealing with the MidPoint, C is partitioning AB into two equal halves, so in the ratio of 1 : 1.

\(\textit{internal division of a line segment using ratios} \\\\\\ A(a,b)\qquad B(c,d)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:1} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{1}\implies \cfrac{A}{B} = \cfrac{1}{1}\implies 1A=1B \\\\\\ 1(a,b)=1(c,d) \implies (a~~,~~ b)=(c~~,~~ d) \\\\\\ C=\left( \cfrac{a+c}{1+1}~~,~~\cfrac{b+d}{1+1} \right)\implies \stackrel{ \textit{MidPoint Formula} }{C=\left( \cfrac{a+c}{2}~~,~~\cfrac{b+d}{2} \right)}\)

95.61 percent of pig pregnancies are longer than 109 days with 0.8413 probability.

A standard normal distribution or z-table can be used to approximate the probability of multiple ranges of values for a random normal variable X with a particular mean and standard deviation. This method entails changing X to a typical normal variable Z.

The normal, random variable X equals the length of pregnancy.

The mean and standard deviation are then calculated.

u, Mean = 114 days

σ, Standard deviation = 5 days

Then, as follows, transform X to its standard normal variable:

Z = (X - u) ÷ σ

Z = (X - 114) ÷ 5

To determine the likelihood of a pregnancy lasting more than 109 days,

P(X ≤ 109) = P(Z ≤ 114 - 109 ÷ 5)

P(X ≤ 109) = P(Z ≤ 1)

P(Z ≤ 1) = 0.8413 when using a typical normal distribution or z-table.

The percentage of pig pregnancies that last more than 109 days,

P = (109 ÷ 114) × 100

P = 95.61%

Learn more about the probability at

https://brainly.com/question/13678923?referrer=searchResults

#SPJ4

The correct hypothesis statement for this golfer to prove his claim would be:

\(H_{0} :u\geq 90\)

\(H_{1} :u < 90\)

The golfer claims that his average score is less than 90.

Therefore, the null hypothesis is the opposite of what he claims

Null hypothesis \(H_{0}\) is average score \(u\) is greater than or equal to 90:

\(u \geq 90\)

\(H_{0} :u\geq 90\)

Alternative hypothesis \(H_{1}\) is then the opposite of null hypothesis.

Hence alternate hypothesis \(H_{1}\) is u< 90

\(H_{1} :u < 90\)

To learn more on hypothesis statements; click here:

https://brainly.com/question/23709550

#SPJ4

\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"y" varies directly with "x"}}{y = k(x)}\hspace{5em}\textit{we also know that} \begin{cases} y=-21\\ x=7 \end{cases} \\\\\\ -21=k(7)\implies \cfrac{-21}{7}=k\implies -3=k\hspace{5em} \boxed{y=-3x} \\\\\\ \textit{when y = 18, what's "x"?}\qquad 18=-3x\implies \cfrac{18}{-3}=x\implies -6=x\)

Answer:

x=6

Step-by-step explanation:

First, we have to find how the x value equals the y value. What do we have to do to x to get y? We have to multiply 7 by -3 to get -21. This means that y=-3x.

We know that x=18, so all we need to do is substitute it in.

18=-3x

\(\frac{18}{-3} =\frac{-3x}{-3}\)

-6=x

Answer:

\(f(t) = 4100( {2}^{ \frac{t}{2} }) \)

Answer:

1.75=5n or 5n=1.75

Step-by-step explanation:

There are 5 n's on the bottoms so you are doing 5 times n (5n) and then 1.75 is on the top so the equation has to equal 1.75

Answer:

5n=1.75

Step-by-step explanation:

the image, the area of the tape diagram indicating 1.75 is equal to the sum of the areas of all five parts in the diagram such that each part indicates n.

here, we have assumed that  1.75 represents an area of the first rectangle , and n represents the area of each of the small rectangle

Answer:

1/√e = .60653

1 - 1/2 + 1/8 - 1/48 + 1/384 = .60677

So N = 4.

Answer:

7x

Step-by-step explanation:

add the numbers 3+4

and add the x

The directional derivative of the function f(x, y, z) = yr + a at the point (3, 2, 1) in the direction of a vector making an angle with the vector (3, 2, 1) is calculated. The answer is explained in the following paragraphs.

To find the directional derivative, we first calculate the gradient of the function f(x, y, z). The gradient is a vector that points in the direction of the steepest increase of the function at a given point. In this case, the gradient of f(x, y, z) = yr + a is given by grad(f) = (0, r, 0).

Next, we normalize the given vector (3, 2, 1) to make it a unit vector. The magnitude of the vector is calculated as sqrt(3^2 + 2^2 + 1^2) = sqrt(14). Dividing each component of the vector by its magnitude, we get the unit vector U = (3/sqrt(14), 2/sqrt(14), 1/sqrt(14)).

The directional derivative of f(x, y, z) in the direction of the vector (3, 2, 1) is then obtained by taking the dot product of the gradient and the unit vector: D_u(f) = grad(f) · U = (0, r, 0) · (3/sqrt(14), 2/sqrt(14), 1/sqrt(14)) = 2r/sqrt(14).

To learn more about directional derivatives click here: brainly.com/question/30365299

#SPJ11

Answer:

False.

Step-by-step explanation:

The statement "1:24,000" is not an example of a verbal statement. It is a numerical ratio or scale commonly used in cartography and map scales. Verbal statements typically involve spoken or written language rather than numerical representations. :)

The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

To know more about probability follow the link:

https://brainly.com/question/24756209

#SPJ11

Applying the equation of free fall the time it will take for the ball dropped from a TV tower 2120 feet high to reach the ground is 11.51 seconds

The equation relating time and distance travelled which is  s = -16t² + 2120, as used in the problem is a quadratic equation

The equation is already modelled for the height of the tower which is 2120 feet high. because of this calculating the time the ball will reach the ground is done when the s = 0

Time when the ball will reach the ground

s = -16t²  + 2120

0 = -16t²  + 2120

16t² = 2120

divide both sides by 16

t² = 132.5

t = √132.5

t = 11.51 seconds

The time is 11.51 seconds

Learn more about time to reach the ground at:

https://brainly.com/question/17780614

#SPJ1

Answer:

Q= 5c

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

The three sides of a triangle are 2x+4, 5x+2, and 4x-3.

The sum is the perimeter

P = 2x+4+ 5x+2+ 4x-3

Combine like terms

P = 11x +3

Let x =2

P = 11*2 +3

P = 22+3

P =25

Answer:

25

Step-by-step explanation:

Side 1: 2x+4         Side 2: 5x+2    Side 3: 4x-3

Substitute-

2(2)+4         5(2)+2        4(2)-3

Multiply-

4+4          10+2           8-3

Combine Terms-

16   +         12     +        5

=25

Answer:

The Ramirez family has 36 eggs

I also want to know the answer...........................................

Answer:

Step-by-step explanation:

use a calculator it's free

The probability P(Y|X), indicating the likelihood of a positive test Y given that a person has disease X, is approximately 0.0226.

To find the exact value of P(Y|X), we can substitute the given probabilities into the formula and solve for P(Y|X).

Given

P(X) = 3% = 0.03 (probability of having disease X)

P(Y|X) = 1 - 0.05 = 0.95 (probability of a positive test given the person has disease X)

P(Y|not X) = 0.10 (probability of a positive test given the person does not have disease X)

To calculate P(Y), we need to consider the probabilities of true positives and false positives

P(Y) = P(Y|X) × P(X) + P(Y|not X) × P(not X)

P(Y) = 0.95 × 0.03 + 0.10 × (1 - 0.03)

P(Y) = 0.0285 + 0.097

P(Y) = 0.1255

Now we can substitute the values of P(X), P(Y|X), and P(Y) into the equation for P(X|Y) and solve for P(Y|X):

P(X|Y) = (P(Y|X) × P(X)) / P(Y)

P(X|Y) = (0.95 × 0.03) / 0.1255

P(X|Y) ≈ 0.0226

Therefore, the exact value of P(Y|X) is approximately 0.0226.

To know more about Probability:

brainly.com/question/32117953

#SPJ4

--The given question is incomplete, the complete question is given below " Given the following problem: Of the entire populatiom 3\% has a certain disease X. A new drug company, Thadzyme, has a test Y, which indicates whether or not a person has the disease, but it is not 100% accurate. Unfortunately,like many of Thadzyme's tests, test Y is painful to administer. Your job is to determine if Thadzyme should market this test. You discover that if a person has disease X, there is a 5% chance that it will go undetected by Thadzyme's Y test. However, there is also a 10% chance of a "false alarm" (meaning that the person does not have disease X, but the test indicates otherwise). Adam takes a test Y which returns positive (indicating that he has the disease). What is P(Y∣X) ?"--

Answer:

B

x = 22

Step-by-step explanation:

2x + 8 + 3x + 5 = 123    (external angle in a triangle = the two opposite angles)

5x = 123 - 13

5x = 110

x = 22

Answer: B

Step-by-step explanation:

By the Exterior Angle Theorem, we know that the exterior angle is equal to the sum of the two opposite interior angles.

(2x+8)+(3x+5)=123       [combine like terms]

5x+13=123                     [subtract both sides by 13]

5x=110                           [divide both sides by 5]

x=22

Now, we know that the answer is B.

Answer:

Step-by-step explanation:

Cost of renting bowling alley = $ 100

Additional cost of renting bowling alley per person = $ 4

⇒ Total Cost for n no. of people = 100 + 4 × n

So, Cost for 15 people = Fix $100 for bowling alley

                                          + $4 for each 15 people

                                      = 100 + 4 × 15

                                    = 100 + 60

                                    = 160

Therefore, The cost for 15 people equals to $ 160.

Answer:

The cashier is correct.

Kelly is wrong because he calculated the coupon as 1 and deducted only $2 from the total price of goods instead of calculating the total amount of coupon and deducting from the total price of goods.

Note that the coupon is $2 off the price of each video game

Explanation:

Let run through the sum of the goods Kelly bought;

3 video games that cost $18.95 each;

2 pairs of earbuds that cost $11.50 each;

Total is;

Given that She has a coupon for $2 off the price of each video game.

For the 3 video games, the coupon is;

The total cost will then be the total price of goods minus the coupon;

Therefore, the cashier is correct.

Kelly is wrong because he calculated the coupon as 1 and deducted only $2 from the total price of goods instead of calculating the total amount of coupon and deducting from the total price of goods.

Note that the coupon is $2 off the price of each video game

The correct option 2 that is 30 children's tickets and 7 adult tickets were sold.

Given : A graph which has adult tickets in the x - axis

and children tickets in the y - axis

The marked point is  ( 30, 7 )

this means that the value of x axis 30 and y axis is 7

thus from the above information it is clear that there are 30 children's tickets and 7 adult tickets were sold.

So the correct option is Option 2

To know more about interpretation of information from graphs you may visit the link which is mentioned below;

https://brainly.com/question/28418462

#SPJ1

Answer:

I THINK ITS 30

Step-by-step explanation:

The 90% confidence interval for the mean amount of dollars spent by Apple customers is $1293.60 to $1414.38.

The conditions that must be met to construct a 90% confidence interval for the mean amount of dollars spent by Apple customers are: (1) the sample is a random sample, (2) the sample size is greater than 30 or the population standard deviation is known, and (3) the population distribution is approximately normal or the sample size is large enough to apply the Central Limit Theorem.

The critical value we would use in the formula to construct a 90% confidence interval with a sample size of 38 is 1.645. This value can be found using a t-distribution table with 37 degrees of freedom and a confidence level of 90%.

The standard error we would use to calculate this confidence interval is $27.85. This can be calculated using the formula: standard error = (sample standard deviation) / sqrt(sample size) = $170.89 / sqrt(38) = $27.85.

Therefore, the 90% confidence interval for the mean amount of dollars spent by Apple customers is $1293.60 to $1414.38. This can be calculated using the formula: sample mean +/- (critical value) x (standard error) = $1353.99 +/- (1.645) x ($27.85) = $1293.60 to $1414.38. We can be 90% confident that the true population mean amount of dollars spent by Apple customers falls within this interval.

To learn more about confidence interval, click here: brainly.com/question/20309162

#SPJ11

Answer:

39.66% of students like ice cream best.

Step-by-step explanation:

To fine the percentage of students that like ice cream best, find the total amount of students. 58. Then, divide 100 by 58 and then multiply that number by 23.

Answer:

Step-by-step explanation:

Since the 2 lines running the same direction are parallel to each other, as marked, then x + 32 and 2x + 1 are corresponding and they are also congruent. That means that they are equal in measure:

x + 32 = 2x + 1 and

x = 30. So the angles measure 62 degrees each. That means that each angle that is diagonal to these 2 angles also measure 62 degrees. The angles above and next to each of these 62 degree angles are supplementary, meaning they measure 180 - 62 which is 118 degrees.