Type the correct answer in each box. Use numerals instead of words.
In Joey's neighborhood, the ratio of families with dogs to families with cats is 5 to 2. There are 15 more families with dogs than families with cats.

In Joey's neighborhood
_____ families have cats
and_____ families have dogs.

Answer:

Step-by-step explanation:

3x-1=4x+8-x

3x-1=3x+8

or -1 =8

which is impossible as -1≠8

so no solution.

Step-by-step explanation:

3x - 1=4x +8 - x

3x - 4x +x = 1 +8 (grouping method)

4x - 4x =9

0 =9

(impossible) : where it's impossible to 0 to be equal to number 9, right

So, there's no solution

Note: grouping method means when you group x alone and the real numbers alone, so as you see up i put the numbers ending by x before the equal sign (=) and the normal numbers (1 and 8) after (=)

Hope this helps..

Have a nice day :)

To estimate y(1.4) using Euler's method with a step size of 0.1, we will iteratively calculate the values of y(x) at each step until we reach x = 1.4. The initial condition y(1) = 1 will be used to start the iteration.

Using Euler's method, we can approximate the solution of the initial-value problem y' = 3y + 2xy, y(1) = 1 by iteratively updating the values of y(x) at each step. We start with the initial condition y(1) = 1. The step size h is given as 0.1, so we will calculate y(x) at each point x = 1 + nh, where n represents the number of steps taken.

At each step, we use the equation:

y(x + h) ≈ y(x) + h * f(x, y),

where f(x, y) represents the derivative of y with respect to x, which is given as 3y + 2xy in this case.

Applying Euler's method, we have:

For the first step (n = 0):

x = 1, y = 1,

y(1 + 0.1) ≈ 1 + 0.1 * (3(1) + 2(1)(1)) = 1.3.

For the second step (n = 1):

x = 1.1, y = 1.3,

y(1.1 + 0.1) ≈ 1.3 + 0.1 * (3(1.3) + 2(1.1)(1.3)) = 1.679.

We continue this process, updating the value of y(x) at each step, until we reach x = 1.4. Finally, we find that y(1.4) ≈ 1.9195, rounded to four decimal places. This is our estimate of y(1.4) using Euler's method with a step size of 0.1.

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Answer:

0 and 4

Step-by-step explanation:

roots are where the graph intersects at x axis

The roots of the quadratic equation whose related function is graphed are 0 and 4, the correct option is C.

A quadratic equation is a second-order equation written as ax2 + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.

If b2 – 4ac > 0 roots are real and different. As the discriminant is >0 then the square root of it will not be imaginary. It has two cases.

If b2 – 4ac is a perfect square then roots are rational. As the discriminant is a perfect square, so we will have an integer as a square root of the discriminant. Hence, the roots are rational numbers.

The shape of the graph is a downward parabola on the positive x-axis therefore the roots of the graph are positive.

From the given option the roots of the equation are 0 and 4 both are positive.

Hence, the roots of the quadratic equation whose related function is graphed are 0 and 4.

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Answer: v would be root2 and u would be 2

Step-by-step explanation:

Answer:

(3,-9)

Step-by-step explanation:

Xm = (-3+9)/2 = 6/2 = 3

Ym = (-3+(-15)/2 = (-3-15)/2 = -18/2 = -9

Answer:

Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated

Step-by-step explanation:

The difference between square of semi major axis and semi minor axis of an ellipse is 1925 unit.

In mathematics foci are special points which are used to express the mathematical assumption regarding various geometric shape such as circle, ellipse, parabola, hyperbola etc. A number of curves is drawn based on the position of foci and equations are developed.

Suppose the given expression refers an ellipse having major axis 2a and minor axis 2b. As we know distance from center to the foci of an ellipse is denoted by c and given by the equation, c=√(a²-b²)

where, a is semi major axis and b is semi minor axis.

in the given question, distance from the center to the foci is 5√77

               so, 5√77= √(a²-b²)

if we square both sides, 5²×77 = a²-b²

                                          a²-b² =     1925

hence, difference between square of semi major axis and square of semi minor axis is equal to 1925 unit

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Answer: 8

Step-by-step explanation:

QS = RS + QR

3x = 2x + 3x-8

3x = 5x - 8

8 = 2x

8/2 = x

4 = x

RS = 2x = 2(4) = 8

The value of tan A is equal to 4/3.

In order to determine the magnitude of tan A, we would apply the law of tangent because the given side lengths represent the adjacent side and opposite side of a right-angled triangle.

tan(θ) = Opp/Adj

Where:

Based on the information provided in the image, we can logically deduce the following parameters:

Adj = 3 units.

Opp = 4 units.

Substituting the parameters into the tangent ratio formula, we have the following;

TanA = 4/3

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So the answer here is approximately 95% of housing prices are between a low price of  $143000 and a high price of $171000.

The empirical rule, also known as the three-sigma rule or 68-95-99.7 rule, is a statistical principle that asserts that, with a normal distribution, virtually all observed data will lie within three standard deviations (denoted by ) of the mean or average (denoted by ).

The empirical rule specifically states that 68% of observations will fall inside the first standard deviation, 95% will fall within the first two standard deviations, and 99.7% will fall within the first three standard deviations.

The Empirical Rule indicates that 99.7% of data that are seen to have a normal distribution fall within 3 standard deviations of the mean.

According to this criteria, 68% of the data falls within one standard deviation, 95% within two standard deviations, and 99.7% within  three standard deviations of the mean.

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Answer:

cos4θ=8cos^4θ−8cos^2θ+1

Step-by-step explanation:

Answer:

the answer would be either2 1/3 or 7/3

The side of the square equals half the minor axis of the ellipse.

To show that the side of the square is half the minor axis of the ellipse, we must prove that the angles of the ellipses and the squares are congruent. To do this, we must first draw in the diagonals of the square, which will form two additional isosceles triangles.

Since the ellipses are perpendicular, the angles of the ellipses and the squares will be the same. Since the angles of the isosceles triangles are equal, the side of the square must be equal to half of the minor axis of the ellipse. Therefore, the side of the square is equal to half of the minor axis of the ellipse.

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Answer:

$59.33

Step-by-step explanation:

To begin, let's start with what we know

Item = 69.80

Discount = 15% or 0.15

So, let's put it into this formula

New Price = Item ( 1 - Discount)              Note: P is the final price

                 = 69.80 ( 1 - 0.15)

                 = 69.80 ( 0.85 )

                 = 59.33

The new price is $59.33.

If you have any questions, please let me know in the comments. If you could mark this answer as the brainliest, I would greatly appreciate it!

Answer:

$59.33

Step-by-step explanation:

To find the new price, we need to know what is 15% of 69.80, and then subtract the result from 69.80. To find the percent, we multiply the number by the percent using decimals for the percent. 15% is 0.15, so we multiply 69.80 * 0.15 = 10.47

Next, subtract 10.47 from 69.80.

69.80 - 10.47 = 59.33

The new price is 59.33.

Another method is that since 69.80 is 100 percent, then the new price will be 100% - 15% = 85%. Multiply the 85 percent by 69.80, and find your answer.

0.85 * 69.80 = 59.33

Hope this helps.

Answer: If you mean simplify then here: 20d+5f+5h

Step-by-step explanation:

Use distributive property to remove the parentheses.

20d+5f+5h

Please give brainliest

Step-by-step explanation:

5p =, 2 p +21+ 45

3P = 66

P= 22

PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction. The solution to the Expression (3^0 * 8^2)^-2 is 1/4096.

The expression (3^0 * 8^2)^-2, the order of operations, which is typically referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Step 1: Simplify the exponent expressions within the parentheses:

(3^0 * 8^2) = (1 * 64) = 64

Step 2: Rewrite the expression with the simplified value:

(64)^-2

Step 3: Apply the exponent rule for a negative exponent:

(64)^-2 = 1 / (64)^2

Step 4: Evaluate the expression within the parentheses:

(64)^2 = 64 * 64 = 4096

Step 5: Rewrite the expression with the simplified value:

1 / 4096

Therefore, the solution to the expression (3^0 * 8^2)^-2 is 1/4096.

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The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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The future value of the investment is approximately $623,983.93 when rounded to the nearest cent.

The future value can be calculated using the formula:
FV = Pe^(rt)
Where:
P = Principal amount = $119,900
e = Euler's number = 2.71828
r = Annual interest rate = 5.5%
t = Time period in years = 30
So, FV = 119,900 x e^(0.055 x 30) = $695,098.51
Using a calculator, you can enter:
- PV (present value) = -119900
- I/Y (annual interest rate) = 5.5
- N (number of years) = 30
- Compounding = Continuous (or CPT for TI calculators)
The future value will be displayed as $695,098.51.
So, the future value of the investment is approximately $623,983.93 when rounded to the nearest cent.

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Answer:

B.  6

Step-by-step explanation:

The triangles are similar by AA Similarity.

The lengths of corresponding sides of the triangles are proportional.

AB/PQ = AC/PR

20/5 = 24/PR

4 = 24/PR

4PR = 24

PR = 6

Answer: PR = 6

Applying angle relationships, the measure of angle 7 is: 95°

The measure of an angle can be determined based on the angle relationships that is being formed by the angles. For example, angles that are vertical angles will be congruent to each other while same-side exterior angles have an angle relationship that is supplementary.

Given:

Measure of angle 1 = (3x + 10)°

Measure of angle 4 = (4x - 15)°

Therefore, based on angle relationships:

m∠1 = m∠4 [vertical angles]

Substitute

3x + 10 = 4x - 15

Combine like terms

3x - 4x = -10 - 15

-x = -25

x = 25

m∠1 + m∠7 = 180 [same-side exterior angles]

Substitute

3x + 10 + m∠7 = 180

Plug in the value of x

3(25) + 10 + m∠7 = 180

75 + 10 + m∠7 = 180

85 + m∠7 = 180

m∠7 = 180 - 85

m∠7 = 95°

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Answer:

The area would be doubled also

The perimeter will be increased in a factor of 1.4

Step-by-step explanation:

Originally the area of new crate = L * B = 1.2 * 0.8 = 0.96 m^2

perimeter is 2(L+ B) = 2(1.2 + 0.8) = 4 m

Now let’s double the width , it becomes 0.8 * 2 = 1.6 m

Area would be 1.6 * 1.2 = 1.92 m^2 which is two times the previous area

The increased perimeter will be 2(1.6 + 1.2) = 5.6 m

This is an increase in factor of 1.4

The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

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Answer:

9

How I got the Answer:

We have,        

  p = 0.30        

   q = 1 - p = 0.70          

    n = 449

Here,

npq = 4449*0.3*0.7 = 9

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The value of x is obtained as follows:

128º.

The measure of angle A is given as follows:

m < A = 132º.

For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:

5x - 508 = x + 4.

4x = 512

x = 512/4

x = 128.

Then the measure of angle A is given as follows:

m < A = 5(128) - 508

m < A = 132º.

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The correct analytical solution is \((1 + x) / (1 - x) = e^(2t + C)\)

Assuming that the value of u is 1, we can proceed with solving the differential equation analytically using the variable separable method.

The differential equation is: dx/dt + x² = u

Substituting u = 1, we have: dx/dt + x² = 1To solve this equation analytically, we can use the method of variable separation:

Separate the variables:dx / (1 - x²) = dt

Integrate both sides:

∫ dx / (1 - x²) = ∫ dt

To integrate the left-hand side, we can use partial fraction decomposition or trigonometric substitution. Let's use partial fraction decomposition:

The equation becomes:

∫ (1/2) * (1 / (1 + x)) + (1/2) * (1 / (1 - x)) dx = ∫ dt

Integrating both sides:

(1/2) * ln|1 + x| - (1/2) * ln|1 - x| = t + C

Simplifying:

ln|1 + x| - ln|1 - x| = 2t + C

Using logarithmic properties, we can combine the logarithms:

ln((1 + x) / (1 - x)) = 2t + C

Exponentiating both sides:

\((1 + x) / (1 - x) = e^(2t + C)\)

Simplifying:

\((1 + x) = C' * e^(2t) * (1 - x)where C' = e^C\)

Solving for x:

\(1 + x = C' * e^(2t) - C' * e^(2t) * xx + C' * e^(2t) * x = C' * e^(2t) - 1Factor out x:x * (1 + C' * e^(2t)) = C' * e^(2t) - 1x = (C' * e^(2t) - 1) / (1 + C' * e^(2t))\)

Given the initial condition x(0) = 0.1, we can substitute t = 0 and x = 0.1 into the equation to solve for the constant C':

\(0.1 = (C' * e^0 - 1) / (1 + C' * e^0)0.1 = (C' - 1) / (1 + C')\)

Solving for C', we can multiply both sides by (1 + C'):

0.1 * (1 + C') = C' - 1

0.1 + 0.1 * C' = C' - 1

0.1 = 0.9 * C'

C' = 0.1 / 0.9

C' = 1/9

Substituting C' back into the equation:x = \(((1/9) * e^(2t) - 1) / (1 + (1/9) * e^(2t))\)

Now, we have the analytical solution for the differential equation with u = 1.

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Step-by-step explanation:

So we are given 2 coordinates.

so in a linear equation, we have the given function:

y=mx+b

thus we should have an x value and a y value.

So let's set x to be the hours and y be the cost

With 2 sets of coordinates, we can solve for the slope (m in the function) of the function using rise/run or y1-y2/x1-x2

so with that being said,

7.75-5.5/7-4=m

2.25/3=m

.75=m

This is our slope.

Our formula will look like this: y=0.75x

Now we can determine how much it will cost in 3 hours by changing x to be 3 since x is the number of hours parked

y=0.75(3)

y=2.25

The cost to park for 3 hours will be $2.25

Hope This Helps :D

We can sketch the graph of the function f(x) = x⁴ - 3x³ + x - 3 by plotting the points,  (1, - 4), (- 1, 0), (- 2, 35), and (2, - 9).

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

given, A polynomial function f(x) = x⁴ - 3x³ + x - 3.

Now, To graph this bi-quadratic polynomial, we can assume some arbitrary values for 'x' than correspond to some different values of 'y'.

At, x = 1, f(x) = (1)⁴ - 3(1)³ + (1) - 3 = - 4.

Similary, At x = - 1, f(x) = 0.

At = x = - 2, f(x) = 35.

At x = 2, f(x) = - 9.

So, The coordinate points are, (1, - 4), (- 1, 0), (- 2, 35), and (2, - 9).

Now we can plot these points and join the curve by free hand.

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