25% of students on a field trip wear glasses. If 40 students are on the trip how many do not wear glasses? ​

A road is 6 degrees inclined after 4900 feet of travel. The driver's increasing in altitude is 509.6

Given that,

A road is 6 degrees inclined after 4900 feet of travel.

We have to find the driver's increasing in altitude.

In a right angle triangle,

According to the definition of a right triangle, a triangle is referred to as a right-angled triangle or simply a right triangle if one of the angles is a right angle (90°). Triangle ABC is a right triangle in the illustration, consisting of the base, altitude, and hypotenuse. The significant side of a right triangle is the hypotenuse, which is the longest side and sits in opposition to the triangle's right angle.

Sinθ=Altitude/Hypotenuse

Sinθ×Hypotenuse=Altitude

Altitude=Sin6°×4900

Altitude=0.104×4900

Altitude=509.6

Therefore, The driver's increasing in altitude is 509.6

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Answer:

0.064

Step-by-step explanation:

solve the btackets first then the powers then start multiplying

Answer :

\( \frac{8}{125} = ( \frac{2}{5} )^{3} = 0.064 \)

Answer:

j=38

Step-by-step explanation:

j/-2 +7=-12,  subtract 7 from both sides of the equation and you get j/-2 = -19, then you multiply j/-2 by -2/1  and multiply -19 by -2/1 to get j= 38

Sophia should budget the total cost calculated in step 3 to fill up her tank when she gets home.

To determine the amount Sophia should budget for refueling when she gets home, we need to consider the following terms:
Fuel efficiency:

Determine the miles per gallon (mpg) that Sophia's car gets. we can find this information in the car's manual or online.

Gas price: Find the current price per gallon of gasoline in Sophia's area. You can check local gas stations or websites that track gas prices.

Determine the fuel efficiency of Sophia's car (miles per gallon or mpg).
Calculate the total number of gallons needed to drive 291 miles by dividing 291 miles by the car's mpg.
Example:  

If Sophia's car has a fuel efficiency of 29 mpg, the calculation would be 291 miles / 29 mpg = 10 gallons.
Multiply the total number of gallons needed by the current gas price per gallon to find the total cost.

Example:  If the gas price is $3 per gallon, the calculation would be 10 gallons * $3 = $30.

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The intersection point is (-3, 14/3, -1/3) and the value of k that makes the line parallel to the given plane is 9.

Determination of point of intersection of three planes is an important topic in coordinate geometry. The given three planes are as follows:

tại 2x + y 22-7-0 1:

y=-s

z=2+5+ 38

TT3: [x, y, z] = [0, 1, 0] + [2, 0, -1]+[0, 4, 3]

To find the intersection point, we first need to solve the given three equations. For this, we can use the matrix method. Below is the augmented matrix for the given equations:
[2 1 -7 | -1]
[0 1 -5 | 3]
[1 -4 3 | 0]
Applying row operations to solve the matrix, we get:
[1 -4 3 | 0]
[0 1 -5 | 3]
[0 0 -9 | 3]
Dividing the third row by -9, we get:
[1 -4 3 | 0]
[0 1 -5 | 3]
[0 0 1/3 | -1]
Now, applying back-substitution, we can get the values of x, y, and z:
z = -1/3
y - 5z = 3
y = 3 + 5(-1/3) = 14/3
2x + y - 7z = -1
2x + 14/3 - 7(-1/3) = -1
2x + 5 = -1
2x = -6
x = -3
Therefore, the point of intersection of the three planes is (-3, 14/3, -1/3).

Moving on to the second part of the question, we need to find the value of k so that the line

[x, y, z) = (2, -2, 0] + [2, k, -3] is parallel to the plane kx + 2y - 4z = 12.

To find this, we need to find the direction ratios of the given line.

These direction ratios are (2, k, -3).Now, the normal vector of the plane kx + 2y - 4z = 12 is (k, 2, -4).

For the line to be parallel to the plane, its direction ratios should be perpendicular to the normal vector of the plane. Therefore, the dot product of these two vectors should be zero..

(2, k, -3) . (k, 2, -4) = 0
2k - 6 - 12 = 0
2k = 18
k = 9
Therefore, the value of k that makes the line parallel to the given plane is 9.

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Answer:

y = -2x - 5

Step-by-step explanation:

1) Find the slope of the line.

The slope of the original line is the same as the slope of the parallel line.

Slope formula:

\(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

In this case you can choose any 2 set of points on the table.

\(m = \frac{4 - 2}{-3 - (-2)}\) = \(\frac{4 - 2}{-3 + 2}\) = \(\frac{2}{-1}\) = -2

So the slope of the line is -2

2) Use the point-slope formula to find the equation of the line.

Point-slope formula:

\(y - y_{1} = m(x - x_{1})\)

Now plug in the point (0, -5) and the slope -2 into the equation.

y - (-5) = -2(x - 0)

y + 5 = -2(x - 0)

To solve the equation first apply the distributive property.

y + 5 = -2x + 0

y + 5 = -2x

Next, subtract 5 from sides.

y = -2x - 5

You know have your equation in point-slope form!

for this problem we need to rememberwhat is the definition of a RATIONAL number defined as a number that canbe obtained from two integers

If we analyze the number given we can see that 6.11212312.... represent an Irrational number since this number cannot be obtained from the division of two integers

So then the best solution for this case would be:

b) Deena is correct. Elijah might think it is showing a pattern.

Based on the given information, we know that x must be 2 since it is the only even prime number. We also know that y must be either 11, 13, 17, or 19 since those are the only prime numbers between 10 and 20.

So, the sum of x and y can be 2 + 11 = 13, 2 + 13 = 15, 2 + 17 = 19, or 2 + 19 = 21.

Out of these four possible sums, only 13, 17, and 19 are prime numbers. Therefore, we can say that the sum of x and y may or may not be a prime number, depending on the specific values of x and y.

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Answer:

1/24

Step-by-step explanation:

if there if multiple different color balls the odds of getting a red ball is very small

the answer

1/24 as a fraction

Step-by-step explanation:

\( - \infty \: and \: 0\)

or

\(x \leqslant 1\)

Answer:

(-0.8, 2.2)

Step-by-step explanation:

Where the two lines intersect is the solution to the System of Equations.

Answer:

the answer would be (-0.8, 2.2) since it hasn't hit -3 yet and if it were to be -1 it would be in the bottom left

Answer:

300 nickels

Step-by-step explanation:

Reading the question, someone has 435 nickels and dimes.

The total is $28.50.

You're trying to find how many nickels he has.

All you need to do is set up a system of equations.

I'm going to use x as the number of nickels and y as the number of dimes.

Based on the question, you can say that

x + y = 435

(the number of nickels and dimes have t equal 435)

and 0.05x + 0.1y = $28.50

(nickels are 5 cents and dimes are 10 cents)

You want to solve for x, the number of nickels.

You can manipulate the first equation by subtracting x on both sides.

After you do that, you will get y = 435 - x. Now, you can substitute this equation into the second one.

First, you can distribute the 0.1.

0.05x  + 0.1(435 - x) = 28.50

Then, you can put the two x's together.

0.05x + 43.5 -0.1x = 28.50

Next, you can subtract 43.5 on both sides to isolate x.

-0.05x + 43.5 = 28.50

Finally, you can divide on both sides to get x, which is the number of nickels.

-0.05x = - 15

x = 300 nickels

Answer:  The slope-intercept form is y = -2x + 10

Step-by-step explanation:

Step 1: The y-intercept is the point where x=0, so that is (0,10)

Step 2: Use the points (-2,14) and (-1,12) to find the slope

Slope (m) = ΔY/ΔX = -2/1 = -2

Step 3: The slope-intercept form is:

y = mx+b

y = (step 2 value) x + (step 1 value)

y = -2x+10

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Answer:

x = 5/8 or x = 0.625

Step-by-step explanation:

4/5(2x + 5) – 4 = 1

4/5(2x + 5) = 5

4(2x + 5) = 25

2x + 5 = 25/4

2x + 5 = 25/4

2x = 5/4

x = 5/8

I hope this helps

Answer:

x = \(\frac{5}{8}\)

Step-by-step explanation:

\(\frac{4}{5}\) (2x + 5) - 4 = 1 ( add 4 to both sides )

\(\frac{4}{5}\) (2x + 5) = 5 ( multiply both sides by 5 to clear the fraction )

4(2x + 5) = 25 ← distribute left side

8x + 20 = 25 ( subtract 20 from both sides )

8x = 5 ( divide both sides by 8 )

x = \(\frac{5}{8}\)

The Cobb-Douglas utility function satisfies the properties of local non-satiation, decreasing marginal utility for both goods, quasi-concavity, and homotheticity.

The Cobb-Douglas utility function u(x1, x2) = xi^(α) * x2^(β), where α and β are both greater than zero, satisfies the following properties:

(a) Local non-satiation:

This property states that at each point of the consumption set, there is always another bundle that is arbitrarily close and strictly preferred. Thus, the function has local non-satiation.

(b) Decreasing marginal utility for both goods 1 and 2: The marginal utility of a good measures the utility obtained by consuming one more unit of it. The marginal utility of x1 can be obtained as:

MU1 = α * xi^(α−1) * x2^(β)

The marginal utility of x2 can be obtained as:

MU2 = β * xi^(α) * x2^(β−1)

Therefore, both marginal utilities are decreasing in x1 and x2, satisfying this property.

(c) Quasi-concavity:

The Cobb-Douglas function is quasi-concave. This means that the upper contour set of any level set of the function is convex. This can be proved by taking the second partial derivative of the function and checking whether it is negative or not.

(d) Homotheticity:

The Cobb-Douglas function is homothetic. This means that its shape is independent of the total level of utility. The proof can be achieved by checking whether the function is homogeneous of degree one or not. This is true, since multiplying the inputs by any positive scalar λ leads to a proportional increase in the output.

In conclusion, the Cobb-Douglas utility function satisfies all four properties - local non-satiation, decreasing marginal utility for both goods 1 and 2, quasi-concavity, and homotheticity.

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Answer:

b) 300in^2

Step-by-step explanation:

area of triangle = base x heigth / 2

                              10 .   x     10    / 2 = 100/2 =50

surface area of one face is 50

there 4 sides so 50 x 4 = 200

and the bottom is length x width = 10 x 10 = 100

100 + 200 = 300

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

In the motion of an object to the various points without altering its size or shape when its translation takes place in geometry, and all other container throughput shift their vertices or alter their shape.

The scale of the figure doesn't alter the transitions, and  Its statistics remain consistent if the scale and shape of its figure are not modified. In this figure, each point is shifted 2/3 away from the y-axis.

Answer:

The 2nd one. (A translation of 4 units up...)

Step-by-step explanation:

I had a better answer last time in answered this, but a rude user named katie deleted it. (She always does that)

Answer:

Yes

Step-by-step explanation:

there are 16 cups in a gallon. if he uses 1/2 a cup to make 1 pitcher, there would be 32 pitchers made. 19+9 is 28 so the answer is yes.

^^mark brainliest pls:D

Answer:

the prashastis is the most assential and the core is a chinese of a bone where the body is the most assential of a bone where it can take longer to get a good idea of the following ratio is a good idea for the needs 8n and a half his salary manish he has a good reputation in his work and is willing and able for his wealth of knowledge to help to help to improve his wealth of the following ratio is a good idea for a few years of use in a class of the following ratio is a very good idea for a few years of use in a class of the following ratio is a very good idea for a few years of use in a class

Answer:

Step-by-step explanation:

The constant term of x^2 + 13x – 48 factors into either (3)(-16) or (-3)(16).

Note how 16 - 3 = 13, which is the coefficient of the middle term.  Thus, the factors are

(x + 16)(x - 3) which is equivalent to x^2 + 16x - 3x - 48, or x^2 + 13x - 48.

The factored form of the given polynomial  is (x - 3)(x + 6)

Since the equation is \(x^2 + 13x - 48\)

Now

The four-term polynomial is

\(x^2 + 16x - 3x - 48\)

x(x + 16) - 3(x + 16)

(x - 3)(x + 6)

Here polynomial represents the expression that includes the additions, subtraction, etc

Therefore, The factored form of the given polynomial  is (x - 3)(x + 6)

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awaer

click here

Step-by-step explanation:

Answer:

Kim and Zara are correct.

Step-by-step explanation:

Correct simplification:

-3(x+4) - 2(5x-6)

-3x + (-12) - 10x + 12

-3x - 12 - 10x + 12

- 13x

Function transformation rules are a set of rules that can be applied to a basic function in order to transform or modify its graph. These rules include:

1. Vertical translation: adding or subtracting a constant to the function. This shifts the graph up or down without changing its shape.

2. Horizontal translation: replacing x with x + c. This shifts the graph left or right without changing its shape.

3. Vertical scaling: multiplying the function by a constant. This stretches or compresses the graph vertically.

4. Horizontal scaling: replacing x with kx. This stretches or compresses the graph horizontally.

5. Reflection: reflecting the graph across the x-axis or y-axis. This changes the orientation of the graph.

6. Composition: combining two or more functions to create a new function.

These rules allow mathematicians to manipulate and analyze functions in order to better understand their properties and behavior. By applying these rules to a basic function, mathematicians can create a variety of related functions with different features and behaviors.

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Answer:

W' = 54.4  pounds

Step-by-step explanation:

Given that,

The weight of a bag of books = 40 pounds

After picking up some books at school, the weight has increased by  36%.

We need to find the weight of the bag now. Let the new weight is W'.

So,

W' = 40 +36% of 40

i.e.

\(W'=40+\dfrac{36}{100}\times 40\\W'=54.4\ pounds\)

So, the new weight of the bag is equal to 54.4  pounds.

Answer:

V = 200 pi units ^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

V = 1/3 pi ( 10 ^2) (6)

V = 1/3 pi (100) *6

V = 200 pi

Answer:

If we are talking about cent's it would be 11 inches of wire

if we are talking about the wire, then 33in would be equivalent to 66 cents

Step-by-step explanation:

im not sure about the second one but the first answer is correct. Please give brainliest by the way

Answer:

11 inches

Step-by-step explanation:

45 divided by 15 = 3

33 divided by 3 = 11

Algebra is used to solve the mathematical problems, the total amount spent by Andy on lunches in this week is equals to $195.

Algebra is the branch of mathematics that use in the representation of problems or situations in the form of mathematical expressions. Mathematical ( arithmetic) operations say multiplication (×), division (÷), addition (+), and subtraction (−) are used to form a mathematical expression.

We have, a data of amount spent by Andy on lunches in a week. Let the total amount spent by him in this week be "x dollars". Using algebra of mathematics, we can written as x = sum of amounts spent by him in whole week so, x = $50 + $20 + $10 + $25 + $25 + $15 + $50 = $195

Hence, required total amount value is $195.

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Complete question:

Andy spent the following amounts on lunches this week,

day. amount

Sunday $50

Monday. $20

Tuesday $10

Wednesday $25

Thursday $25

Friday $15

Saturday $50

Calculate total amount he spent in this week.

Therefore , the solution of the given problem of function comes out to be the function that fits the given graph is f(x) = [x] + 1.

In addition to numbers, symbols, but also their constituent expression parts, anatomy, construction, and both real and fictitious geographic places are all covered in the study of mathematics. A function explains the connections between various variables, which all have a related outcome. A function is composed of a number of unique parts that, when combined, result in particular outputs for each input.

Here,

The largest number that is less than or equal to x is returned by the greatest integer function, denoted by [x]. For instance, [3.4] = 3, [-2.8] = 3, and [5] = 5 are all equal.

The curve of the largest integer function is moved up one unit by the function f(x) = [x] + 1.

The graph of the largest integer function is moved up by zero units by the function f(x) = [x].

The largest integer function's graph is reflected and moved down by one unit by the function f(x) = -[x] - 1.

The curve of the largest integer function is moved down by one unit by the function f(x) = [x] - 1.

Therefore, the function that fits the given graph is f(x) = [x] + 1.

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The test score is 91.5.

z-score:

A z-score is the number of standard deviations from the mean value of the reference population.

Here we have to find the test score.

Mean(μ) = 90

Standard deviation(б) = 15

z-score = 0.1

Formula for z-score:

z = X - μ / б

Now putting the values in the equation:

0.1 = X - 90 / 15

1.5 = X - 90

X = 91.5

Therefore the test score is 91.5.

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Answer:

F

Step-by-step explanation:

3(5) would be the equivalent of 3*5, adding the + n.