List the quadrilaterals thal have the given property Choose among parallelogram; rhombus , rectangle; and square Opposite <’s are ≈=
Choose the correct answer below
A Rhombus and square only
B Square only 0
C Reclangle and rhombus only
D. Parallelogram rectangle rhombus and square

Answer:

I don't think there's enough information here to answer your question

A 5th degree polynomial have five complex roots. This means that the polynomial can be written as the product of five linear or quadratic polynomials.

The general formula to calculate the roots of a 5th degree polynomial is:

\(x^5 + ax^4 + bx^3 + cx^2 + dx + e = 0\)

The roots of the polynomial can be found by solving the following equation:

\(x^4 + (a - x)x^3 + (b - a x + x^2)x^2 + (c - bx + ax^2 - x^3)x + (d - cx + bx^2 - ax^3 + x^4) = 0\)

To calculate the roots of the polynomial, we need to solve the quartic equation, which can be done by using the quadratic formula. Then, we can use the solutions of the quartic equation to find the roots of the 5th degree polynomial.

For example, if we have the polynomial x^5 + 2x^4 + 3x^3 + 4x^2 + 5x + 6 = 0, then the roots can be calculated as follows:

x1 = -1.7177

x2 = -0.3181

x3 = 0.5813

x4 = 1.2520

x5 = 2.1771

These are the five complex roots of the polynomial.

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The HCF of 10125 and 7425 is 675, obtained by prime factorization and identifying the common factors.

To find the highest common factor (HCF) of 10125 and 7425, we can use the method of prime factorization.

Step 1: Prime factorize both numbers.

10125 = 3 × 3 × 3 × 5 × 5 × 5 × 3

7425 = 3 × 3 × 3 × 5 × 5 × 11

Step 2: Identify the common prime factors.

The common prime factors between 10125 and 7425 are 3 and 5.

Step 3: Find the minimum exponent for each common prime factor.

The minimum exponent for 3 is 3 (from 10125) and 3 (from 7425).

The minimum exponent for 5 is 3 (from 10125) and 2 (from 7425).

Step 4: Multiply the common prime factors raised to their minimum exponents.

HCF(10125, 7425) = 3^3 × 5^2 = 27 × 25 = 675.

Therefore, the highest common factor of 10125 and 7425 is 675.

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Answer:

The patient's current temperature is 40.2°C, which is 3.2°C higher than the normal temperature of 37°C. To reach the normal temperature, the patient's temperature needs to decrease by 3.2°C.

Therefore, the patient's temperature must decrease by 3.2°C to reach a normal temperature of 37°C.

The volume of the given solid, under the surface z = 1 + x²y² and above the region enclosed by x = y² and x = 4, is 224/15 cubic units.

To find the volume, we need to integrate the given function over the specified region. First, we determine the limits of integration for x. The region is bounded by x = y² and x = 4, so the lower limit of integration is y² and the upper limit is 4.

Next, we determine the limits of integration for y. Since the region is enclosed by x = y², the lower limit is y = 0 and the upper limit is y = 2.

Setting up the integral, we have:

∫∫(y² to 4) (0 to 2) (1 + x²y²) dy dx

Expanding the integrand, we have:

∫∫(y² to 4) (0 to 2) (1 + x²y²) dy dx = ∫∫(y² to 4) (0 to 2) (1 + x²y²) dy dx

Integrating concerning y, we get:

= ∫(y² to 4) [(y + (x²y³)/3)] |(0 to 2) dx
= ∫(y² to 4) [4 + (8x²)/3 - (x²y³)/3] dx

Evaluating this integral, we find:

= (8/3) ∫(y² to 4) (x² - xy³ + 4) dx
= (8/3) [(x³/3 - (xy⁴)/4 + 4x)] |(y² to 4)
= (8/3) [(64/3 - (4y⁴)/4 + 16) - (y⁶/3 - (y²y⁴)/4 + 4y²)]

Simplifying further, we have:

= (8/3) [64/3 + 16 - (y⁶/3 - (y⁶)/4 + 4y²)]
= (8/3) [112/3 + (y⁶)/4 - 4y²]

Integrating this expression concerning y, we get:

= (8/3) [(112y/3 + (y⁷)/28 - (4y³)/3)] |(0 to 2)
= (8/3) [(224/3 + (128/7) - (32/3)) - (0)]

Simplifying, we find the volume to be:

= (8/3) [(224/3 + 128/7 - 32/3)]
= 224/15

Therefore, the volume of the given solid is 224/15 cubic units.

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The area of the playground is  y² - 2y - 8

Area of a rectangle is expressed as:

Area of the rectangle = LW

Given

L is the length = y + 2

W is the width = y - 4

Substitute the given expression into the formula

A = (y+2)(y-4)

A = y² - 4y + 2y - 8

A =  y² - 2y - 8

Hence the area of the playground is  y² - 2y - 8

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True, the normal probability plot indicate that the paired differences come from a normally distributed population

A graphical method for locating significant departures from normalcy is the normal probability plot. Outliers, skewness, kurtosis, the requirement for transformations, and mixes are some examples of this. The raw data, residuals from model fits, and estimated parameter values are used to create normal probability charts. The normal probability plot indicate that the paired differences come from a normally distributed population. A paired samples t-test assumes that the differences between the pairs should be approximately normally distributed.

This is a crucial assumption because if the differences between the pairs are not normally distributed then it isn’t valid to use the p-value from the test to draw conclusions.  Hence these statement is true

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Answer:

A=πr2

Step-by-step explanation:

Answer:

well you did not give diameter or radius but the way to solve is

Step-by-step explanation:

3.14*R*R=Area

Yes, it would be possible to use 14C age dating to estimate the age of a dinosaur bone.

Explanation:14C dating is a method used to determine the age of once-living organisms based on the radioactive decay of carbon-14 in their tissues. However, 14C dating is only effective for samples that are less than 50,000 years old. Therefore, it is not possible to use 14C dating to directly date dinosaur bones as they are much older than 50,000 years, and all the carbon-14 would have already decayed.

However, indirect dating methods such as radiometric dating can be used to estimate the age of the rocks in which the dinosaur bones were found. This method is based on the radioactive decay of isotopes in the rocks and can be used to determine the age of the rocks to within a few million years. By association, the age of the dinosaur bones can also be estimated, providing an indirect method of dating them. Therefore, while 14C dating is not useful for directly dating dinosaur bones, it can be used indirectly to estimate their age.

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Answer: 41$

Step-by-step explanation:

This is because 5x6=30 (To find how much money is made)

then 11+30=41 (add both amounts)

To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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Answer:

2. 1. 3. 4.

Step-by-step explanation:

hope this help >.<

The functions that satisfy d(x) such that synthetic division can be performed are:x² - 5 and x - 1.Explanation:Synthetic division is the process of dividing a polynomial by a linear expression.

The linear expression is always of the form (x - a), where a is a constant. Synthetic division is a shorthand way of performing long division, which is used to divide a polynomial by another polynomial. There are certain conditions that must be met in order for synthetic division to be performed. First, the divisor must be of the form (x - a), where a is a constant. Second, the degree of the divisor must be 1. That is, it must be a linear expression. Third, the coefficient of the x-term in the divisor must be 1.

That is, the divisor must be of the form (x - a) or (a - x), where a is a constant. If these conditions are met, then synthetic division can be performed. The functions that satisfy d(x) such that synthetic division can be performed are:x² - 5 and x - 1.

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You will need 8 drops of blue coloring to mix icing with 4 drops of yellow coloring.

In order to make the icing, you used 2 drops of yellow coloring for every 4 drops of blue coloring.

You need to first find the unit rate of blue coloring to yellow coloring.

= blue coloring required / yellow coloring

= 4 / 2

= 2

This means that for every drop of yellow coloring used, 2 drops of blue is used.

If you are to use 4 drops of yellow, the number of blue drops to use is:

= Number of yellow drops x unit rate

= 4 x 2

= 8 drops of blue coloring

In conclusion, you will need 8 drops of blue coloring for 4 drops of yellow coloring.

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Answer:

8 Blue

Step-by-step explanation:

4x2

Answer:

\(a^{\frac{15}{2} }\)

Step-by-step explanation:

Using the rules of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

\((a^m)^{n}\) = \(a^{mn}\)

(\(a^{\frac{1}{2} }\) × a)^5

= \((a^{\frac{1}{2}+1) }\)^5

= \((a^{\frac{3}{2}) } ^{5}\)

= \(a^{\frac{15}{2} }\)

Answer: 21

Step-by-step explanation:

To find the missing number you set the two equations as a proportion:

\(\frac{7}{9} = \frac{x}{27}\)

To solve for x we cross multiply:

27 × 7 = 189

9 × x = 9x

Set up an equation:

9x = 189

Divide both sides by 9:

x = 21

Answer: \(y=\frac{4}{x}\)

Step-by-step explanation:

To find the inverse function, you want to replace y with x and x with y, and then solve.

\(y=\frac{4}{x}\)           [replace y with x and x with y]

\(x=\frac{4}{y}\)           [multiply bith sides by y]

\(xy=4\)          [divide both sides by x]

\(y=\frac{4}{x}\)

Now, we know the inverse is \(y=\frac{4}{x}\).

Answer:

L ≤ 65

Step-by-step explanation:

Less than or equal to 65 which means at the peak (most) it is 65 MPH :)

Answer:

The answer would be 49 because 72 divided by 8 would be 9 and you add 41 you get 49

Step-by-step explanation:

brainliest?

Answer:

Step-by-step explanation:

D think is your answer

Answer:

108cm^2

Step-by-step explanation:

3 x 6 x 6=108

Here is the answer:

108cm?2

The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.

We have,

To prove the equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 using mathematical induction,

We will follow the three steps of mathematical induction:

The base case, the induction hypothesis, and the inductive step.

Step 1: Base case

Let's start by checking if the equation holds true for the base case, which is n = 1.

When n = 1, the left-hand side (LHS) is 1² = 1, and the right-hand side (RHS) is 1(1 + 1)(2(1) + 1) / 6 = 1.

Since LHS = RHS for the base case, the equation holds true.

Step 2: Induction hypothesis

Assume the equation holds true for some positive integer k, where k ≥ 1. This is our induction hypothesis:

1 + 4 + 9 + ... + k² = k(k + 1)(2k + 1) / 6

Step 3: Inductive step

We need to prove that if the equation holds true for k, it also holds true for k + 1.

Starting with the left-hand side of the equation, we add (k + 1)² to both sides:

1 + 4 + 9 + ... + k² + (k + 1)² = k(k + 1)(2k + 1) / 6 + (k + 1)²

Simplifying the right-hand side:

= [k(k + 1)(2k + 1) + 6(k + 1)²] / 6

= [(2k³ + 3k² + k) + (6k² + 12k + 6)] / 6

= (2k³ + 9k² + 13k + 6) / 6

= [(k + 1)(k + 2)(2k + 3)] / 6

We can see that the right-hand side is now in the form

(k + 1)((k + 1) + 1)(2(k + 1) + 1) / 6, which matches the equation for k + 1.

Since the equation holds true for k implies it holds true for k + 1, and the base case is true, we have proven the equation using mathematical induction.

Therefore,

The equation 1 + 4 + 9 + ... + n² = n(n + 1)(2n + 1) / 6 is proven by mathematical induction.

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The correct option for this equation ∫V2−1 dx = ∫u du is (D) a = 7, b = 63.

Given, ∫V2−1 dx = ∫u du

To solve this equation, we need to integrate both sides of the equation.

∫V2−1 dx = ∫u du

⇒ [x]v2−1 = (u²)/2 + C

where C is the constant of integration.

Now, we can plug in the limits of integration to solve for C.

When x = 2, u = 3

When x = 4, u = 7

So, the definite integral with limits of integration [2, 4] is:

∫2v2−1 dx = [x]v2−1 = 4 − 2 = 2

And the definite integral with limits of integration [3, 7] is:

∫3v7−1 dx = [x]v7−1 = 7 − 3 = 4

Therefore, the answer is (D) a = 7, b = 63.

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Answer: The last one, I would suppose.

As we know in a right angled triangle the sum of two sides will always be greater than the third side.

We will use the Pythagoras Theorem here:

c² = a² + b²; where c is the longest side.

The only segments satisfying this are

15, 36, 39

Answer:

4) 5, 12, 13

Step-by-step explanation:

Answer:

B).150ft

Explanation:

The distance from homeplate to 1st Base = 90 feet

Therefore: distance from homeplate to point P is:

The distance from homeplate to 3rd base is 90 feet.

We see that the problem forms a right-triangle where the distance from point P to 3rd Base is the Hypotenuse.

Using Pythagoras Theorem:

The player threw the ball a distance of 150 feet.

The value of the piecewise function for f(3) is 4

From the question, we have the following parameters that can be used in our computation:

f(x) = 2x if x < 1

f(x) = 1/2x + 5/2 if x >= 1

The function f(3) implies that we make use of the function

f(x) = 1/2x + 5/2

This is because it is valid for x >= 1

substitute the known values in the above equation, so, we have the following representation

f(3) = 1/2 * 3 + 5/2

Evaluate

f(3) = 4

Hence, the piecewise function for f(3) is 4

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Answer: 9.8 feet!

Step-by-step explanation: