88:4-2x1=?

Solve the problem please!

To solve the system of equations:

4x^2 + 9y^2 = 72

x^2 - y^2 = 5

We can use the method of substitution. Let's solve the second equation for x^2:

x^2 = y^2 + 5

Now substitute x^2 in the first equation:

4(y^2 + 5) + 9y^2 = 72

4y^2 + 20 + 9y^2 = 72

13y^2 + 20 = 72

13y^2 = 52

y^2 = 4

y = ±2

Substituting y = 2 into x^2 = y^2 + 5, we get:

x^2 = 2^2 + 5

x^2 = 9

x = ±3

Therefore, the solutions to the system of equations are:

(x, y) = (-3, 2), (-3, -2), (3, 2), (3, -2)

Listing the solutions with the smallest x-values and then the smallest y-value first, we have:

(-3, -2), (-3, 2), (3, -2), (3, 2)

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Answer:3.92

Step-by-step explanation:

find 1/5 of 9.8kg

=1.96kg

3/5 of pears = 1.96*3=5.88kg

apples= 2/5 so 1.96*2=3.92kg

OR 9.8-5.88=3.92kg

Answer:

3.92kg of Apples

Step-by-step explanation:

The size of Pears weight is 3/5 of 9.8kg...

=3/5 * 9.8

=3 * 9.8/5

=29.4/5

=5.88kg

Thus, the size of the Apples will be 9.8kg - 5.88kg

= 3.92kg.

Thus, the farmer sold 3.92kg of Apples at the farmer's market.

The perimeter of the tabletop is 7.8 meters.

To find the perimeter of the tabletop, we need to add up the lengths of all four sides.

The length of the table top is given as 2m 15cm, which is equivalent to 2 meters + 15 centimeters. Similarly, the width is given as 1m 25cm, which is equivalent to 1 meter + 25 centimeters.

Converting the centimeters to meters, we have 2 meters + 0.15 meters for the length and 1 meter + 0.25 meters for the width.

Adding up the lengths of all four sides, we get:

Perimeter = 2(length + width)

Perimeter = 2(2.15 + 1.25)

Perimeter = 2(3.40)

Perimeter = 6.80 meters

Therefore, the perimeter of the table top is 6.80 meters.

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The probability that a college student selected at random has cheated on an exam is 0.3328 or 33.28% .

The given problem requires us to find the probability that a student has cheated on an exam given that the number of college students who have cheated on an exam is 855 and the number of students who have not cheated on an exam is 1717.

The total number of students is the sum of those who have cheated and those who have not cheated.

Total number of possible outcomes = Number of students who have cheated on an exam + Number of students who have not cheated on an exam

= 855 + 1717

= 2572

Therefore, the probability that a college student selected at random has cheated on an exam is:

P(C) = Number of outcomes favorable to event C / Total number of possible outcomes

= 855 / 2572

= 0.3328 or 33.28% (approx.)

Hence, the probability that the student has cheated on an exam is 0.3328 or 33.28% (approx.).

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The position vector can be found by integrating v(t) from t=1 to t=t, and adding the initial position vector p. The resulting position vector is

r(t) = <(t²)/2 + 1, 2t + 1, (t²)/2>.

The velocity vector v(t) = <t, 2, t> gives the x, y, and z components of the velocity at time t. To find the position vector, we need to integrate the velocity vector. Integrating the x-component of v(t) with respect to t gives us x(t) = (t²)/2 + C1, where C1 is the constant of integration. We can determine the value of C1 by using the initial condition that the object is at point p(1,1,0) at time t=1. Substituting t=1 and x=1 into the equation for x(t), we get 1 = (1²)/2 + C1, which gives us C1 = 1/2.

Similarly, integrating the y-component of v(t) gives us y(t) = 2t + C2, where C2 is another constant of integration. Using the initial condition that the object is at point p(1,1,0) at time t=1, we can determine that

C2 = -1.

Integrating the z-component of v(t) gives us z(t) = (t²)/2 + C3, where C3 is another constant of integration. We can determine the value of C3 using the fact that the object starts at z=0, which gives us C3 = 0.

Therefore, the position vector of the object is r(t) = <(t²)/2 + 1, 2t + 1, (t²)/2>. This tells us the x, y, and z coordinates of the object at any time t. We can also use this equation to find the position of the object at specific times, such as r(2) = <3, 5, 2>.

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Answer:

congruent and perpendicular

Answer:

congruent and perpendicular.

Step-by-step explanation:

i took the test

First, we know that both triangles already have 2 sides with equal ratios:

AC /RQ = 6/3 =2

AB/QP = 10/5 =2

Now, if RP = 4.5 we will have 3 sides with equal ratios:

CB / RP = 9/4.5 = 2

with this condition, both triangles will be similar by SSS.

Also if they have 2 sides with equal ratios and equal included angles.

m< R = 63

m

When asked to find the sum of two mixed numbers with different denominators, you should find a (C) common denominator before you add.

To add fractions with different denominators, it is necessary to find a common denominator for both fractions. Once the fractions have the same denominator, you can add or subtract the numerators while keeping the denominator unchanged. This allows for a meaningful addition of the fractions.

To find a common denominator, you need to determine the least common multiple (LCM) of the denominators. The LCM is the smallest multiple that both denominators can divide evenly into. Once you have the common denominator, you can convert each fraction to an equivalent fraction with that denominator and then perform the addition.

After finding the common denominator, you add the numerators of the fractions and keep the common denominator. This will give you the sum of the two mixed numbers with different denominators. The correct answer is C. find a common denominator.

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The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Answer:

You did not include the graphs, but I can explain how the graph is and so you can recognize it.

1) for x = 0, y = sin(0) = 0, so the  origin (0,0) is part of the graph.

2) The range of the function is the interval [-1, 1]. This is, y is from -1 to 1, and the graph oscilates (is a wave) between those minimum and maximum.

3) The periodicity, P, of the function is such that 0.5P = 2π = > P = 4π

That means that the values repeat every 4π interval (which is the same that 720°)

4) The zeroes of the function are 2π * n, where n is any whole number (negative, zero or positive).

That means that the function crosses the x-axis at

..., -6π, -4π, 2π, 0, 2π, 4π , 6π, ...

5) It is an odd function (which means that f(x) = sin(0.5x) = - f(-x) = - sin(-0.5x).

Now you have plenty information to identify the graph.

I also include a graph of the function in the attached pdf file.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

yui no kami usika mi 4x5

Step-by-step explanation:

A Quadrilateral has four-sides, it is 2-dimensional (a flat shape), closed (the lines join up), and has straight sides.

We have special types of quadrilaterals which are,

1) Rectangle

2) Square

3) Rhombus

4) Parallelogram

5) Trapezium

6) Kite

Some types are also included in the definition of other types! For example a square, rhombus and rectangle are also parallelograms.

An isosceles trapezoid has left and right sides of equal length that join to the base at equal angles.

Below is the diagram of an Isosceles trapezoid

Answer:

i think it is same let me know

The measures of angles 4 and 5 are:

∠5 = 104°

∠4 =76°

On the image we can see that angles 1 and 2 are next to eachother, that means that the sum of their measures must be a plane angle, that is an angle of 180°.

Then we can write the sum:

∠1 + ∠2 = 180°

(3x + 5) + (2x + 10) = 180

5x + 15 = 180

5x = 180 - 15

x = 165/5 = 33

the measure of angle 5 is the same one of angle 1 then:

∠5 = (3*33 + 5)° = 104°

And angle 4 is supplementary of angle 1, then:

∠4 + 104° = 180°

∠4 = 180 - 104= 76°

These are the measures

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The advantages of graphing calculator, It has been demonstrated that using graphing calculators effectively in the classroom may improve students' grasp of mathematical ideas, encourage them to approach problems at a higher level, and increase their test scores.

The equations can be entered into the graphing calculator in standard form or slope intercept form. Even if the intersection is a decimal, the calculator accurately locates it. You may quickly alter the window's settings to be able to view the system's answer wherever it may be.

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Answer:

Height after 5 seconds is 215 ft

Step-by-step explanation:

Given that:

The initial velocity of object which is projected upwards is 123 ft/sec.

Height of the object, h after time t in seconds,  is given as:

\(h=-16t^2+123t\)

Here, t will always be positive, so \(123t\) and \(16t^2\) will also be positive.

But coefficient of \(16t^2\) is negative, that means something is subtracted from the positive term \(123t\).

To find:

Height of object after 5 seconds.

Solution:

Given that \(t=5\) seconds.

Let us put the value in the given relation of \(h\) and \(t\):

\(h=-16\times 5^2+123 \times 5\\\Rightarrow h=-400+615\\\Rightarrow \bold{h = 215\ ft}\)

So, height after 5 seconds is 215 ft.

Answer:

Remove parentheses.

y-10=-3\times -2y−10=−3×−2

2 Simplify 3\times -23×−2 to -6−6.

y-10=-(-6)y−10=−(−6)

3 Remove parentheses.

y-10=6y−10=6

4 Add 1010 to both sides.

y=6+10y=6+10

5 Simplify 6+106+10 to 1616.

y=16y=16

The parallel linear functions are given as follows:

1) y = x + b, b ≠ 17.

4) y = b, b ≠ -3.

5) y = b, b ≠ 19.

6) x = b, b ≠ 19.

The definition of a linear function, in slope-intercept format, is given as follows:

y = mx + b.

In which the coefficients of the function are given as follows:

When two linear functions are parallel, they have the same slope, along with different intercepts.

Hence, the parallel functions are given as follows:

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Using the mathematical operation of division, Mrs. Doctor can fill 15 mugs using 10 cups.

The division operation is one of the basic mathematical operations.

The division operation involves using the divisor to divide the dividend, which results in a quotient.

For instance, since the pot holds 10 cups and the distribution is 2/3 cups for each mug, we can divide 10 cups by 2/3 cups to get 15 mugs.

The quantity of hot chocolate for each mug = 2/3 cups

The total number of cups that the pot holds = 10 cups

The number of mugs that can be filled from 10 cups = 15 (10 ÷ 2/3)

Thus, we can divide 10 cups by 2/3 cups to get the number of mugs Mrs. Doctor can fill.

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Answer:

2.5%

Step-by-step explanation:

Given data

Profit = Euro 20,000,000

Tax paid= Euro 500,000

The percentage tax paid is

% Tax= Tax paid/Profit*100

% Tax= 500,000/20,000,000*100

% Tax=0.025*100

% Tax=2.5

Hence the percentage tax paid is 2.5%

Answer:

\(y=\frac{1}{4} x+8\)

Step-by-step explanation:

Use point-slope form:

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

Where:

Insert the values:

\(y-6=\frac{1}{4} (x-(-8))\\\\y-6=\frac{1}{4} (x+8)\)

Convert to slope-intercept form by solving for y (isolate the y variable).

Simplify the multiplication. Use the rule \(\frac{a}{b}*c=\frac{ac}{b}\) :

\(y-6=\frac{x+8}{4}\\\\y-6=\frac{x}{4} +\frac{8}{4} \\\\y-6=\frac{1x}{4} +2\\\\y-6=\frac{1}{4} x+2\)

Add 6 to both sides:

\(y-6+6=\frac{1}{4} x+2+6\\\\y=\frac{1}{4} x+8\)

:Done

Step-by-step explanation:

first, get a piece of tracing paper. then, place it on the grid and copy the shape and the point of rotation. then, place your pen on the point of rotation and rotate the paper 180°. then copy the shape to its new position on the grid. then move the shape 4 units left by counting 4 squares on each vertex and moving it. lastly, find the coordinates of point

Amongst the options circle shape from the Clade Race would be considered plesiomorphic.

A primitive or ancestral character state is called plesiomorphy or known as a plesiomorphic character), and a shared plesiomorphy is called a symplesiomorphy. For example, let us take an example of hair. It is a unique mammalian character that evolved with the evolution of mammals.

The term apomorphy means a specialized or derived character state which is plesiomorphy. It refers to a primitive or ancestral trait. An same as autapomorphy, it is a derived trait that is unique to one group, while a same as synapomorphy is a derived trait shared by two or more groups.

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Answer:

9 miles

Step-by-step explanation:

Given that :

Given that:

On map:

5cm = 2 miles

If a map trail = 22.5cm

Length of trail in real life :

(22.5 cm / 5cm) * 2miles

4.5 * 2 miles = 9 miles

The trail is 9 miles in real life

The net force is the vector sum given by ⟨27,−31,14⟩N

To determine the net force acting on the system with the given forces, we have to compute the vector sum of the forces. The vector sum of the forces is equal to the net force acting on the system.

Now let's find the net force:

Fnet = F1 + F2
F1 = ⟨11, -18, 31⟩N and, F2 = ⟨16, -13, -17⟩N

Fnet = F1 + F2

= ⟨11,−18,31⟩N+⟨16,−13,−17⟩N

= ⟨11+16,−18+(−13),31+(−17)⟩N
= ⟨11,−18,31⟩N+⟨16,−13,−17⟩N

= ⟨27,−31,14⟩N

Therefore, the net force acting on the system is ⟨27,−31,14⟩N.

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Answer:

give me a sec and ill do it

Step-by-step explanation:

Jason's distance from the leader changes at a rate of -8.32 feet each minute.

In mathematics, a fraction is used to denote a portion or component of the total. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, while the denominator is the number at the bottom. The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

Here,

=-11 1/5  /  1 3/4

≈  -8.32  ft / min

The Jason's position relative to the leader change per minute at the rate of -8.32  ft / min.

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