if angle y measures 65 degrees how much does x measure?

Answer:

A

Step-by-step explanation:

The equation must equal 50 and the 4 should be added not multiplied

Answer:

Step 4

Step-by-step explanation:

We are given that

[tex]\frac{37}{4}[/tex]

We have to convert [tex]\frac{37}{4}[/tex] into decimal.

Divisor:The number which  divides the dividend.

Dividend:The number which is divided by divisor.

Quotient:The number obtained when the divisor divides the dividend.

[tex]\frac{37}{4}=9.25[/tex]

Step:1

Dividend 37

Step 2:

37

-36

=1

Step 3:

10

Step 4:

10

-8

=2

Step 5:

20

-20

=0

Hence, the first error in step 4.

Answer:

you should  by 18 eggs at the second price.

Step-by-step explanation:

my reason being is that if you buy it for the second price you will get two for the price of one which will be $0.97cents.

Answer:

Answer: you should  by 18 eggs at the second price. Step-by-step explanation: my reason being is that if you buy it for the second price you will get two for the price of one which will be $0.97cents.

Step-by-step explanation:

Answer: you should  by 18 eggs at the second price. Step-by-step explanation: my reason being is that if you buy it for the second price you will get two for the price of one which will be $0.97cents.

Answer:

∠ b = 23°

Step-by-step explanation:

Complementary angles sum to 90°, thus

∠ a + ∠ b = 90°, that is

67° + ∠ b = 90° ( subtract 67° from both sides )

∠ b = 23°

Answer:

The recursive rule for the sequence is

[tex]a_{1}[/tex] = x

[tex]a_{2}[/tex] = x

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + [tex]a_{n-2}[/tex]

Step-by-step explanation:

∵ The first term is x

∴ [tex]a_{1}[/tex] = x

∵ The second term is x

∴ [tex]a_{2}[/tex] = x

∵ The third term is 2x

- That means the third term is the sum of the 1st and 2nd terms

∴ [tex]a_{3}[/tex] = [tex]a_{1}[/tex] + [tex]a_{2}[/tex]

∵ The fourth term is 3x

∴ [tex]a_{4}[/tex] = [tex]a_{2}[/tex] + [tex]a_{3}[/tex]

∵ The fifth term is 5x

∴ [tex]a_{5}[/tex] = [tex]a_{3}[/tex] + [tex]a_{4}[/tex]

∵ The sixth term is 8x

∴ [tex]a_{6}[/tex] = [tex]a_{4}[/tex] + [tex]a_{5}[/tex]

From all above the sequence is Fibonacci sequence where its recursive rule is

[tex]a_{1}[/tex] = first term

[tex]a_{2}[/tex] = second term

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + [tex]a_{n-2}[/tex]

The recursive rule for the sequence is

[tex]a_{1}[/tex] = x

[tex]a_{2}[/tex] = x

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + [tex]a_{n-2}[/tex]

Final answer:

The sequence provided follows a pattern similar to the Fibonacci sequence but starts with two identical terms. The recursive rule is F(1) = X, F(2) = X, and for n > 2, F(n) = F(n-1) + F(n-2).

Explanation:

The given sequence is reminiscent of the Fibonacci sequence, where each term after the first two is the sum of the two preceding ones. However, since the first two terms here are identical, both being X, it alters the common Fibonacci sequence slightly. To write a recursive rule for the sequence X, X, 2X, 3X, 5X, 8X, ... we would use the standard recursion formula with a modification accounting for the sequence's unique start.

Recursive Rule for the Modified Fibonacci Sequence:

F(1) = X (First term)

F(2) = X (Second term)

For n > 2, F(n) = F(n-1) + F(n-2) (Subsequent terms)

Here, F(n) represents the nth term in the sequence. By following this recursive rule, you can generate any term in the sequence by summing up the two previous terms.

Answer:

11/100

Step-by-step explanation:

Answer:

17 1/2 months or rounded up to 18

Step-by-step explanation:

so first you need to set up an equation,

lets do company Q first..

because the monthly fee is 3 bucks thats gonna be the number that goes hand in hand with x so lets put that down

Q - 3x

now we have to add our one time fee of 25 dollars

Q - 3x + 25 .. bam thats our first equation

lets do the same thing for our next company

W - x + 60

( because the fee is one dollar, theres no reason to put 1x, its not mathematically correct, so we just leave it as x )

so now we have to set up the equation together, and because we are trying to find when the two will meet and have an EQUAL cost we make them equal to each other

so

3x + 25 = x + 60

if you solve it...

2x + 25 = 60

2x + 35

x = 17.5

Answer:

x=5

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

6x−3−3x=3x+12−3x

3x−3=12

Step 2: Add 3 to both sides.

3x−3+3=12+3

3x=15

Step 3: Divide both sides by 3.

3x/3=15

x=5

The solution to the equation 6x - 3 = 3x + 12 is x = 5.

We have,

To solve the equation 6x - 3 = 3x + 12 for x, we can follow these steps:

Begin by isolating the x-terms on one side of the equation.

To do this, subtract 3x from both sides:

6x - 3 - 3x = 3x + 12 - 3x

Simplifying

3x - 3 = 12

Next, move the constant term (-3) to the other side by adding 3 to both sides:

3x - 3 + 3 = 12 + 3

Simplifying:

3x = 15

Finally, divide both sides of the equation by 3 to solve for x:

3x / 3 = 15 / 3

Simplifying:

x = 5

Therefore,

The solution to the equation 6x - 3 = 3x + 12 is x = 5.

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Step-by-step explanation:

Given the blueprints of a house show that a wall is 3.5 inches long.

Length of the wall = 3.5 inches

Mpa scale used in blue print is,

1.5 inches = 3 feet

Such that 1 inch = 2 feet

Length of the wall = 3.5 inches = 3.5 * 2 = 7 feet

The length of the actual wall = 7 feet

Answer:

UT = 15

Step-by-step explanation:

Its okay this was a hard one to know. since its a 90 degrees angle you can use the Pythagorean theorem.

A^2 + B^2 =C^2

but in this case they give you c and as for b

so it be C^2 - A^2 = B^2

17^2 - 8^2 = B^2

289 - 64 = B^2

225 = B^2

now you square both sides getting B = [tex]\sqrt{225}[/tex]

Answer:

Least to greatest should be 1 over 6, 1 over 3, and then 2 over 5. least to greatest with the same denominator should be 5 over 30, 10 over 30, and 12 over 30

Step-by-step explanation:

First step is to find the common denominator, which is 30. Then you want to figure out how you got to 30 and multiply that by nominator. after you have that all complete, then just sort from least to greatest. To listed from least to greatest is you take the smallest number, for example which would be 5 over 30 and then sorts continuously from the greater number as well, which would be 12 over 30

Answer:

Hey briannah its haley lol. I thought I'd help you out with this for Mrs F's class! The answer is 333.

Step-by-step explanation: Basically you do 180-63-90 and that equals 27. Then from there you subtract 360 from 27, then there is your answer 333!!

Basically you do 180-63-90 and that equals 27. Then from there you subtract 360 from 27, then there is your answer 333!!

Answer:

(2,9)

Step-by-step explanation:

It's on khan

The missing value is 9 in the solution to the given equation y = 2x + 5.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question

y = 2x + 5 ....(i)

The one value is 2 in the solution to the equation

To determine the missing value, we have to substitute the value of x = 2 in the given equation.

As per the question, we have

⇒ y = 2x + 5

⇒ y = 2(2) + 5

Apply the multiplication operation,

⇒ y = 4 + 5

Apply the addition operation,

⇒ y = 9

Therefore, the missing value is 9 in the solution to the given equation.

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The question seems to be incomplete the correct question would be

y = 2x + 5 Complete the missing value in the solution to the equation. (2, [] )

Answer:

96m

Step-by-step explanation:

distance traveled =

area of the graph( up to 14 sec)

= (1/2*4*8)+(8*10)

= 16 + 80 = 96

The distance traveled by a cycle in a certain time is calculated by the formula 'distance = velocity x time'. But without the velocity (speed of the cycle), we cannot calculate the covered distance.

To find the distance covered by a moving object, we use the formula distance = velocity x time. However, from your query, it seems we don't have the velocity (speed of the cycle) given. Once we know the velocity (say in km/hr or m/s), we can simply multiply it with the time (in this case 14 seconds) to get the distance covered. For example, if the velocity was 1 m/s, the distance covered in 14 seconds would be just 1m/s x 14s = 14 meters.

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Answer:

n = − 14

Step-by-step explanation:

-3(n+5)=27

-(3n+3·5)=27

-(3n+15)=27

Please mark me brainliset if this helped (I need it)

Answer: n=4

Step-by-step explanation:

Given:

Given that the triangle CDE is a right triangle.

The measure of ∠E is 90° and ∠D is 38°

The length of DE is 12 feet.

We need to determine the length of CD.

Length of CD:

The length of CD can be determined using the trigonometric ratio.

Thus, we have;

[tex]cos \ \theta=\frac{adj}{hyp}[/tex]

where [tex]\theta=D[/tex] and the side adjacent to angle D is ED and hypotenuse is CD.

Substituting these values, we get;

[tex]cos \ D=\frac{ED}{CD}[/tex]

where ∠D = 38°, ED = 12 feet.

Substituting, we get;

[tex]cos \ 38^{\circ}=\frac{12}{CD}[/tex]

Simplifying, we have;

[tex]CD=\frac{12}{cos \ 38^{\circ}}[/tex]

[tex]CD=\frac{12}{0.788}[/tex]

Dividing, we get;

[tex]CD=15.2[/tex]

Thus, the length of CD is 15.2 feet.

Answer:

51.6

Step-by-step explanation:

its because you have to use cos toh and all of the calculator functions

The length of KM on the quadrilateral would be 18 units .

Using the following Information from the quadrilateral;

The sides JM and KL are parallel , This means that :

The length of the diagonals of the quadrilateral would be the same .

From the question ;

JL = 18

Then ;

KM = 18

Hence, the length of KM would be ; 18 units .

Answer:

See explanation

Step-by-step explanation:

Solution:-

- The effect of an outlier on the mean, median and range is to be investigated.

- Mean: It is the average of all the values. If the outlier "22" is lies on the upper spectrum of the center value. If the outlier is removed the value of center or mean will decrease.

- Median: The median value is mostly defined as the value around which their is a cluster of data. The value of the outlier "22" if close to that cluster of data points is omitted there will be small deviation in the value of median. If the value of the outlier "22" if far away to that cluster of data points is omitted there will be significant deviation in the value of median.

- Range: Is defined by the uppermost and lowermost value from a set of data points that is considered. The value of outlier will equally effect either of these limits depending where the outlier lies close to upper limit or lower limit of the range.

The mean is the measure of center most affected by an outlier, especially in a skewed distribution. The range and standard deviation, measures of spread, will also be notably impacted by the removal of an outlier.

The removal of the value 22 as an outlier from a set of data will affect measures of center and spread, with the mean being the measure of central tendency most susceptible to change due to an outlier. The standard deviation and range are measures of spread that would also be influenced when removing an outlier, especially if the dataset is not symmetrical. However, the median and mode are more robust to outliers and would likely be less affected by the removal of a single value.

In the context of a car dealership data analysis where the sales are right-skewed, indicating that higher values are more variable, the inclusion of a high outlier can raise the mean significantly. By removing the outlier, the mean will decrease, potentially providing a more accurate representation of the central tendency of the data. The range will also decrease, as the outlier might be the highest value in the set. The standard deviation might decrease as well, as it measures the average distance from the mean, which would be less skewed without the outlier.

Answer:54

Step-by-step explanation:

Answer:

D. She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1

Step-by-step explanation:

Answer:

(B)  median because there is an outlier

Step-by-step explanation:

The given data is as follows:

{1, 4, 9, 4, 10, 8, 42}

We can see from the given data that 42 is a data point which differ greatly from the other data points, and from the definition of OUTLIER that is a data point that differ greatly from the trend expressed by the other values in the data set.

Thus, 42 is an outlier.

Now, We have to find the center for the given data set, thus we will use the median as the definition of median states that median is the middle value of the data set.

Therefore, the best measure to find the center of the given data will be median because there is an outlier 42 present in it.

Thus, option B is correct.

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Step-by-step explanation:

Answer: e) 6

Step-by-step explanation:

Let x be mother + children = 18

Father's age = 38

Average age of the family = 14

38 + 18x /( x + 1 )= 14

Opening the bracket

38 + 18x = 14x + 14

Collecting like terms

24 = 4x

x = 6

no of children in the family is 6.

Answer:

  (0, 2) and (3, 4)

Step-by-step explanation:

The equation is in slope-intercept form:

  y = mx +b . . . . . a line with slope m and y-intercept b

So, you know immediately that the y-intercept is (0, 2). This matches only one answer choice.

  (0, 2) and (3, 4)

Answer:

0.35 is the mean of the sampling distribution of the proportion.

Step-by-step explanation:

We are given the following in the question:

Percentage of voters who voted for recall = 35%

[tex]p = 35\% = 0.35[/tex]

Sample size, n = 3150

We have to find the mean of the sampling distribution.

Formula for mean of sampling distribution:

[tex]\mu = p[/tex]

Putting values, we get,

[tex]\mu = 0.35[/tex]

Thus, 0.35 is the mean of the sampling distribution of people sampled in an exit poll who voted for the recall.

Answer:

(a)The probability that a person 65 or over and has a loan is 0.052.

(b)The probability that a person 65 or over and has a loan is 0.476

(c) The probability that a person is 65 or over and has a loan independent is 0.0952

Step-by-step explanation:

Conditional probability:

Let A and B any two event is connected to a given random experiment E. The conditional probability of the event A on the hypothesis that the event B is occurred, denoted by P(A|B), is defined as,

[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]

So, P(A∩B) = P(B).P(A|B)

Given that,

The age of 20% of population are 65 years or over.

26% of those whose age 65 years or more have loans.

53% of those whose age under 65 years have loans.

E= the person is 65 or more.

F= the person has loan.

P(E)= 20%=0.2

P(F|E)=26%=0.26

P(F|E')=53%=0.53

So,

P(E')=1-0.2=0.8

P(F'|E)= 1-0.26=0.74

P(F'|E')= 1-0.53=0.47

(a)

The probability that a person 65 or over and has a loan is

=P(E∩F)

=P(F|E).P(E)

=0.26×0.2

=0.052

(b)

A person who has a loan either 65 or more , or under 65.

P(F)= P(F∩E)+P(F∩E')

     =P(F∩E)+P(E').P(F|E')

     = 0.052+ (0.8).(0.53)

     =0.476

(c)

Independent event:

If A and B are two independent event,

Then,P(A∩B)=P(A).P(B)

The probability that a person is 65 or over and has a loan independent is

=P(E∩F)

=P(E).P(F)

=(0.2)×(0.476)

=0.0952  

The probability that a person is 65 or over and has a loan is 0.052, the probability that a person has a loan is 0.476, and the probability that a person is 65 or over and that the person has a loan independent is 0.0952.

Given :

Suppose 20% of the population are 65 or over, 26% of those 65 or over have loans, and 53% of those under 65 have loans.

Let A represent the person who is 65 or more and B represents the person who has a loan.

If (P(A) = 20% = 0.2) then (P(A') = 1 - 0.2 = 0.8)

If (P(B|A) = 26% = 0.26) then (P(B'|A) = 1 - 0.26 = 0.74)

If (P(B|A') = 53% = 0.53) then (P(B'|A') = 1 - 0.53 = 0.47)

a) The probability that a person is 65 or over and has a loan is:

[tex]\rm = P(A\cap B)[/tex]

[tex]\rm = P(B|A)\times P(A)[/tex]

[tex]=0.26\times 0.2[/tex]

= 0.052

b) The probability that a person has a loan is:

[tex]\rm P(B) = P(A\cap B)+P(B\cap A')[/tex]

        [tex]\rm = P(B \cap A)+P(A')\times P(B|A')[/tex]

        [tex]=0.52+0.8\times 0.53[/tex]

        = 0.476

c) The probability that a person is 65 or over and that the person has a loan independent is:

[tex]= \rm P(A\cap B)[/tex]

= P(A).P(B)

= (0.2)[tex]\times[/tex](0.476)

= 0.0952

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Answer:

The answer is 14 hits!

Step-by-step explanation:

This is because of dividing 28 by 8: so you get 3.5. Use the 3.5 and times it by the amount of hits: which is 4. Then BOOM, you got yourself 14 hits!

Answer:

Flow (Q) = 0 kg/s      

Step-by-step explanation:

Given:-

- The density of seawater, ρ = 1025 kg/m^3

- The velocity field of flow, v ( x,y,z ) = y i + x j

Find:-

The rate of flow outward through the hemisphere x2 + y2 + z2 = 81, z ≥ 0.

Solution:-

For some flow, if we know the point density at (x,y,z) is ρ ( x , y ,z ).

And the velocity of a unit element at point (x,y,z) is v ( x , y ,z ).

Then the rate of outflow of substance through surface "S" is given by:

                                [tex]Flow (Q) = \int\int\limits_S {F} \, .ds[/tex]

Where,                    F = ρ ( x , y ,z )*v ( x , y ,z )

- Therefore for the given data:

                               F = ( 1025 kg/m^3)*(y i + x j)

- We will now parametrize the surface "S" given as:

                              x2 + y2 + z2 = 81, z ≥ 0

           S: r(u) = 3 sin (v) cos (u) i + 3 sin (v) sin (u) j + 3 cos (v) k  

Where,         u ε [ 0 , 2π) and since z ≥ 0, v ε [ 0 , π/2 ]

Therefore,

                   F [ r(u) ] = ( 1025 kg/m^3)*( 3 sin (v) sin (u) i + 3 sin (v) cos (u) j).

Note:

                       [tex]Flow (Q) = \int\int\limits_S {F} \, .ds = \int\int\limits_D {F} \, .n.ds[/tex]

Where,           n: Unit vector normal to surface "S"

- Such that,          [tex]dS = magnitude(r_u x r_v).dA[/tex]

The Flux through a surface is defined only if the surface is orientable.

Note that if the substance is orientable, there will be two normal unit vectors at every point (x,y,z):

- We can write:

               [tex]dS = n.dA = +/- \frac{r_u x r_v}{magnitude (r_u x r_v)}*magnitude (r_u x r_v).dA \\\\dS = +/- (r_u x r_v).dA[/tex]                  

- For finding the flux we always use the positive orientation of unit normal vector (n).

- The parameterisation for sphere "S":

              r ( u , v ) = 3 sin (v) cos (u) i + 3 sin (v) sin (u) j + 3 cos (v) k          

Where,         u ε ( 0 , 2π) and since z ≥ 0, v ε ( 0 , π/2 ),

              [tex]r_u = -3 sin(v)*sin(u) i + 3 sin(v)*cos (u) j \\\\r_v = 3 cos (v) *cos (u) i + 3 cos (v)* sin (u) j - 3 sin (v) k[/tex]

- Compute ( r_u x r_v ) :

             [tex]r_u xr_v = \left[\begin{array}{ccc}i&j&k\\-3sin(v)*sin(u)&3sin(v)*cos(u)&0\\3cos(v)*cos(u)&3cos(v)*sin(u)&3sin(v)\end{array}\right] \\\\\\r_u xr_v = -9 sin^2(v)*cos(u) i -9 sin^2(v)*sin(u)j -9 sin(v)*cos(v) k[/tex]

- The vector ( r_u x r_v) points towards the origin, therefore the positive unit normal vector ( r_u x r_v) would be:

[tex]dS = - (r_u xr_v).dA = [ 9 sin^2(v)*cos(u) i +9 sin^2(v)*sin(u)j +9 sin(v)*cos(v) k] .dA[/tex]

Therefore,

               [tex]Flow (Q) = \int\int\limits_S {F} \, .ds = 3075\int\int\limits_D { [2sin^3(v)*sin(u)*cos(u) ]} . dA\\\\Flow (Q) = 3075\int\int\limits_D { [sin^3(v)*sin(2u) ]} . dA\\\\\\u = e ( a1 = 0 , b1 = 2\pi ), v = e ( a2 = 0 , b2 = \pi/2)\\\\\\Flow (Q) = 3075\int\limits^b_0 {sin(2u)} \, du*\int\limits^b_0 {sin^3(v)} \, dv\\\\Flow (Q) = 3075[ - \frac{cos(2u)}{2}]\limits^2^\pi _0 * \int\limits^b_0 {sin^3(v)} \, dv\\\\Flow (Q) = 3075[ 0 ] * \int\limits^b_0 {sin^3(v)} \, dv = 0\\\\[/tex]

Answer: So the flow through the surface "S" is Flow (Q) = 0 kg/s            

The given flow field has zero divergence which leads to zero net outward flux, implying that the rate of flow outward through the hemisphere x² + y² + z² = 81, z ≥ 0 is 0 m³/s.

This problem is best approached through Gauss' Theorem which states that the total outward flux through a surface is equal to the volume integral of the divergence of the vector field over the volume enclosed by the surface. The divergence of the velocity vector, v = y i + x j , is obtained by adding the derivatives of the vector components with respect to their corresponding spatial coordinates.

I.e. ∇.v = ∇.(y i + x j) = ∂y/∂x + ∂x/∂y = 0 (since we can see that y is not dependent on x, and x is not dependent on y).

The total flux through the given hemisphere can now be calculated by substituting the divergence of velocity in the volume integral of Gauss’ theorem. However, since divergence is zero, the volume integral will be zero, hence implying that the net flux through the hemisphere will also be zero.

Therefore, the rate of the flow outward through the hemisphere x² + y² + z² = 81, z ≥ 0, is 0 m³/s.

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Answer:

boat rent: $40/per person

Life preserver: $5/per person

Step-by-step explanation:

120 ÷ 3 = 40

135 ÷ 3 = 45

45 - 40 = 5

Answer:

The distance between the tire swing and the monkey bars = 5 m

Step-by-step explanation:

Given:

Distance between tire swing and the slide = 4 m

Distance between monkey bars and slide = 3 m

We have to find the distance between tire swing and the monkey bars.

Let the distance be "h" meters.

From the diagram we can see that when they are arranged they form a right angled triangle.

Where the distance we have to find is the hypotenuse of the triangle.

Using Pythagoras formula:

⇒ (hypotenuse)^2 = (base)^2 + (perpendicular)^2

Plugging the values:

⇒ [tex](hypotenuse)^2 = (base)^2 + (perpendicular)^2[/tex]

⇒ [tex]h^2=b^2+p^2[/tex]

⇒ [tex]h=\sqrt{b^2+p^2}[/tex]

⇒ [tex]h=\sqrt{(4)^2+(3)^2}[/tex]

⇒ [tex]h=\sqrt{16+9}[/tex]

⇒ [tex]h=\sqrt{25}[/tex]

⇒ [tex]h=5[/tex] m

So,

The distance between the tire swing and the monkey bars = 5 m