Julian school is selling tickets for a play the tickets cost $10.50 for adults and $3.75 for students the ticket sales for opening night totaled 2071 and $.50 the equation 10.58+3.75B equals 2071. 50 where is the number of adult tickets sold and visa number of student ticket sold can be used to find the number of adult student tickets and 82 soon as it is and how many adult tickets were sold

Answer:Image result for how to estimate square roots

Examples.

Finding square roots of of numbers that aren't perfect squares without a calculator.

Example: Calculate the square root of 10 ( ) to 2 decimal places.

Find the two perfect square numbers it lies between.

Divide 10 by 3. ...

Average 3.33 and 3. ( ...

Repeat step 2: 10/3.1667 = 3.1579.

More items...

Step-by-step explanation:

Answer:

Get close as you can to the number you are trying to square root, Find some numbers that gives a close number. Then divide it by the number you estimated. If it the answer is the same number as the estimate number you chose you are correct. Repeat the step over and over again until you get it correct.

this is how i do it

Answer: 360

Step-by-step explanation:

done

The government needs to raise spending by $3300 to bring the economy to full employment.

The formula for the GDP of a closed economy is given by the following:

Y = C + I

whereY = Aggregate Income

C = Aggregate Consumption

I = Investment

Therefore,Y = C + I250 + 0.75

Y = 100 + Y

Where Y is the full-employment GDP, we have to solve for Y in order to find out the output level that corresponds to full employment.

To do so, let's subtract 0.75Y from both sides of the equation: 250 + 0.25Y = 100

Adding -250 to both sides of the equation: 0.25Y = -150

Dividing both sides of the equation by 0.25Y = -600

Thus, at full employment, Y = 4000 and at the initial equilibrium, Y = 600.

Therefore, the desired increase in government spending (G) can be calculated as follows:

4000 = 250 + 0.75Y + G

Substituting Y = 600, we get:

4000 = 250 + 0.75(600) + G4000 = 250 + 450 + G3300 = G

Therefore, the government needs to raise spending by $3300 to bring the economy to full employment. Rounded to the nearest whole value, this is $3300.

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The assumption of a finite population is the answer to the question of which condition/assumption is not required for the one-sample t inference for the mean μ of a population.

The one-sample t inference for the mean μ of a population is based on several conditions and assumptions. Let's discuss each of them and identify which one is not a condition or assumption.

Random Sampling: One of the key assumptions is that the data used for the inference is obtained from a random sample. Random sampling ensures that the observations are independent and representative of the population.

Normality: The t inference assumes that the population follows a normal distribution. This assumption is necessary to apply the t-distribution for inference. However, for large sample sizes (typically above 30), the t-inference is robust to deviations from normality due to the Central Limit Theorem.

Independence: The observations in the sample should be independent of each other. This assumption ensures that each observation provides new information and is not influenced by other observations.

Finite Population: The t-inference assumes that the population from which the sample is drawn is finite. This assumption is relevant when the sample size is a large fraction of the population size. If the population is infinite or extremely large, this assumption is not necessary.

Homogeneity of Variance: The t-inference assumes that the variance of the population is the same across all levels of the independent variable. This assumption is known as homogeneity of variance. Violation of this assumption can lead to inaccurate results.

Based on these conditions and assumptions, it can be concluded that the assumption of a finite population is not a condition of the one-sample t inference for the mean μ. The assumption of a finite population is relevant only when the population size is small or the sample size is a large fraction of the population size. In most practical scenarios, where the population size is large or infinite, this assumption is not applicable.

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Answer:

I think the constraint of proportionality is 25 because each dot it increases buy 25.

I also believe that at 10 the total should be at 225.

Answer:X=2

Step-by-step explanation:first you simplify the left side by multiplying the 2 with both numbers which gets you 6x+8=4x+12 then you can subtract 8 from 12 which gets you 6x=4x+4 then you subtract 4x from 6x which then gets you to 2x=4 and finally you divide the 2 from the 4 to get X alone which then gets you the answer of x= 2

Answer:

2

Step-by-step explanation:

2(3x +4)=4x +12

6x +8=4x +12

6x - 4x =12-8

2x=4

x=4:2

x=2

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

The vector equation for the given matrices is;b = 2(1,-2,0) + (-1)(0,1,2) + 6(5,-6,8)b = (2-0-30, -4-1+36, 0-2+48)b = (-28, 31, 46)

Yes, b is a linear combination of a1, a2, and a3. The reason behind this statement is explained below.What is a linear combination?A linear combination is a sum of a group of scalars, each multiplied by a single matrix or a single vector. These coefficients are scalar multiples of the vectors in the vector space.Linear Combination of MatricesIt is defined as a scalar multiplication and addition of matrices, with the combination of the coefficients from the given equation or formula. For example, if A and B are matrices with dimensions m×n and p×q, then the linear combination is given as;ax + by, where a and b are coefficients and x and y are the matrices. Let's discuss the given matrices: a1 = (1 -2 0), a2 = (0 1 2), and a3 = (5 -6 8), and b = (2 -1 6)Step-by-step explanationThe linear combination of the given matrices can be represented by the equation below;b = c1*a1 + c2*a2 + c3*a3, where c1, c2, and c3 are the coefficients that will be multiplied by the corresponding matrices.The vector equation for the given matrices is;b = 2(1,-2,0) + (-1)(0,1,2) + 6(5,-6,8)b = (2-0-30, -4-1+36, 0-2+48)b = (-28, 31, 46)Since we have arrived at the vector b using a linear combination of a1, a2, and a3, we can conclude that b is a linear combination of a1, a2, and a3.

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When a cylinder is sliced in such a way that the plane passes through the cylinder in a slanted direction without going through either base, the resulting cross section is an elliptical shape.

To visualize this, imagine a cylinder with circular bases. When a plane intersects the cylinder in a slanted direction, it cuts through the curved surface of the cylinder, creating an elliptical cross section.

The exact shape and size of the elliptical cross section will depend on the angle at which the plane intersects the cylinder and the specific orientation of the cylinder. The major axis of the resulting ellipse will be parallel to the slanted direction of the plane, while the minor axis will be perpendicular to it.

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Step-by-step explanation:

These are the statements

Statement 4: RS is congruent to ST

Reasons

Reason 2: Reflextive Property

Reason 3: Definition of angle bisector

Reason 4:Given

Answer:

Step-by-step explanation:

gnag  dsewhqjhnqrhjwqkhjqrkhwq

585m/hr

To find the plane's speed for 1 hour, we will need to divide 2,047.5 by 3.5:

2,047.5 / 3.5 = 585.

585 miles represents the speed of the plane for 1 hour.

The correct algebraic expression that describes the circuit displayed is option A. (a + b)c' + ab.

To determine the correct expression, we can use the distributive property and the fact that the complement of a product is equal to the sum of the complements. In other words, (ab)' = a' + b'.

Using the distributive property, we can simplify the expression in option A:
(a + b)c' + ab = ac' + bc' + ab

Now, using the fact that the complement of a product is equal to the sum of the complements, we can simplify further:
ac' + bc' + ab = (a + b)c' + ab

This expression matches the original expression in option A, so option A is the correct answer.

Therefore, the correct algebraic expression that describes the circuit displayed is (a + b)c' + ab.

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177+3-5y+19+10z

Coefficients are numbers being multiplied by a variable.(example:4 in 4a)

Find terms with variables.

-5y and 10z

So the coefficients are -5 and 10.

hope it helps!

If the numbers denoting the perimeter and area of the square are equal, the length of the diagonal will be 4√2 units.

What are Area and Perimeter?

An object's shape defines a region as its area. The area of a figure or any other two-dimensional geometric shape is how much space it takes up in a plane.

The whole length encircling a shape is referred to as its perimeter. Simply put, if a shape is stretched into a linear form, its perimeter is its length. In a two-dimensional plane, a shape's perimeter is the sum of its total dimensions.

Let the side of the square to be 'a'.

If Area and Perimeter of a square are equal then,

So,  Area = Perimeter

      a^2 = 4a

we get, a = 4 units.

Now, we can find the diagonal by using Pythagoras theorem,

We know that, Hypotenuse^2 = Base^2 + Perpendicular^2

Here, the hypotenuse will be the diagonal of the square.

So, We have,

            Diagonal^2 = 4^2 + 4^2

                                = 16 + 16

                                = 32

∴ Diagonal = √32 = 4√2 units.

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Answer:

22

Step-by-step explanation:

418 divided by 19 is 22.

Answer:

50.24

Step-by-step explanation:

area of circle = πr²

where r = radius

given radius = 4

so area = (3.14)(4)²

==> evaluate exponent

area = (3.14)(16)
==> multiply 3.14 and 16

area = 50.24

Answer:

1) 2 and 4

2) 3 and 4

3) 7 and 8

4) 9 and 10

5) 21 and 22

Step-by-step explanation:

#1

Since √(8) = √(2×4) = 2√2

then the √(8) lies between 2 & 3

#2

Since √(9) = 3 & √(16)= 4

then √(14) lies between 3 & 4

#3

√(60) = √(4×15) = 2√(15)

  since √16 = 4 and 4 × 2 = 8

  then 2√(15) < 8

∴ the √16 lies between 7 & 8

#4

√99 = √(9×11) = 3√11

√11 lies between √9 & √16 but closer to √9

   & 3 × √16 = 12

the 3√11 = √99  likely lies between 9 & 10

#5

√444 = √(4×111)= 2√111

since √100 = 10 & √121 = 11

& 2×10= 20 & 2×11= 22

then 2√111 is likely between 21 & 22

The slope of the graph in discuss as defined by the task content is; 0 while it's y-intercept is given by the coordinates; (0,2).

It follows from the task content that the graph in discuss is; Graph shows blue line that starts at 2 on the Y axis, continuing left and right.).

Hence, it can be concluded that the graph in discuss is horizontal line whose y-intercept is given by the coordinates (0,2).

Ultimately, the slope of the graph is 0 because it doesn't change in the y-axis.

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The correct equation that states the relationship between the dot distances and speeds is dot speed = dot distance / 5 hr. The correct option is (b).

This is because the dots are observed to be moving away from the observer at a constant rate, which is given in units of centimeters per hour.

This equation correctly represents the observed relationship because it implies that the speed at which a dot is moving away from you is directly proportional to its distance from you.

The coefficient of proportionality in this case is 1 cm/hr per 5 cm of distance.

This means that for every 5 centimeters of distance, the dot's speed increases by 1 centimeter per hour. As the distance increases, the speed also increases proportionally.

This is consistent with the information where dots at greater distances have higher speeds.

Therefore, to relate the dot distance (in centimeters) to the dot speed (in centimeters per hour), we need to divide the dot distance by the time taken for the dot to move that distance, which is 5 hours for all dots.

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Answer:

(4 , 5)

Step-by-step explanation:

Trapezoid JKLM

Translation

Point M'

_______________

In this question, we are asked to focus on point M if it were moved to a different area. So look at M only, now, it states that its moved 7 units to the left and 2 units up, refer to the graph below to reach your answer.

Answer:

-2, -5, -8, -11, ... -14, -17

Step-by-step explanation:

-3 each time.

Answer:

Rewriting the equation in slope intercept form is: Y= -8x+4

Step-by-step explanation:

Im sure there's a faster way to solving this, but I'm just in 8th grade so I'm gonna apply what I know so far.

First of all, we know that our slope is -8... so we have y= -8x so far

From here, to find out y intercept I knew that our slope deals with all the points assigned, therefore we know that from -4 the change would be -8 so we get -12. We can also go the other way. This means that we plus 8 to get positive 4. (Side note: the change in our x value is 1 so we know that our y intercept is always dealing with a 0 in the x position) ex. (0,9) the y intercept would be 9.

To wrap things up, the slope is -8 and the y intercept is 4.

We then get Y= -8x+4

Hope this helps! :)

Answer:

Step-by-step explanation:

Vera used the wrong number in her inequality.

Please note this question was very confusing for me.

Answer:

D

Step-by-step explanation:

The person above me is right, but if you wanted to know the letter, it's D

:D

The answer is 1.72.

Division is splitting into equal parts or groups.

Given that 18.92 divided by 11

Let’s have a simple division.

18.92 : 11 = 1.72

Hence, 18.92 divided by 11 equal to 1.72

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Answer:

shorter length = 7 feet

longer length = 28 feet

Equation : 98 = 2x²

Step-by-step explanation:

A rhombus is a four sides quadrilateral with the four sides equal in length

The area of a rhombus =  \(\frac{1}{2}pq\)

where p and q are the two diagonals

shorter length = x

longer length = 4x

98 = (1/2) ×4x × x

98 = 4x² x (1/2)

98 = 2x²

divide both sides of the equation by 2

49 = x²

find the square root of both sides

x = 7 ft

longer sides = 4 x 7 = 28 ft

The joint probability density function (pdf) of Y1, Y2, and Y3 is, f(y1, y2, y3) = (1/(y1*y3^2)) * e^(-(y3/(y1+y2)) - (y2/y1)) for y1 > 0, y2 > 0, y3 > 0, and 0 elsewhere.

To obtain this joint pdf, we apply the transformation technique to the random variables X1, X2, and X3. We define the transformation functions:

Y1 = g1(X1, X2) = X1/X2
Y2 = g2(X1, X2, X3) = X3/(X1+X2)
Y3 = g3(X1, X2) = X1+X2

Next, we calculate the Jacobian determinant of the transformation:

J = |∂(Y1, Y2, Y3)/∂(X1, X2, X3)| = |1/(X2^2)|

Now, we express X1, X2, and X3 in terms of Y1, Y2, and Y3:

X1 = Y1Y3/(1+Y1+Y2)
X2 = Y3/(1+Y1+Y2)
X3 = Y2Y3/(1+Y1+Y2)

Substituting these expressions and the Jacobian determinant into the joint pdf of X1, X2, and X3, which is e^(-(x1+x2+x3)), we obtain the joint pdf of Y1, Y2, and Y3 as mentioned above.

Regarding the independence of Y1, Y2, and Y3, we can determine it by checking if the joint pdf factors into the product of the marginal pdfs. In this case, if the joint pdf does not factorize, then Y1, Y2, and Y3 are not mutually independent.

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Answer650

Step-by-step explanation:

Answer:

t=-6

Step-by-step explanation:

Use the order of operations. First divide 10÷5 which gives you 2.

Second, do 2+-8 which gives you -6