help plase guys please

Answer:

5%

Step-by-step explanation:

The computation of the two rates of interest is shown below;

The interest  rate for $3,000 be x%

And, for $4,500 the interest rate is (x -2%)

The total interest earned is

= x% of $4,500 + (x - 2)% of $4,500

So, the two rates of interest is

x% of $4,500 + (x - 2)% of $4,500 = $435

30x + 45(x - 2) = $435

30x + 45x - 90 = $43

75x = $25

The degrees of freedom for a chi-square goodness-of-fit test are calculated as the number of categories minus 1.

Suppose we wish to determine if an ordinary-looking six-sided die is fair, or balanced, meaning that each face has a probability of 1/6

of arrival on top when the die is tossed. We could toss the die dozens, maybe hundreds, of times and compare the actual number of times each face arrival on top to the scheduled number, which would be 1/6

of the total number of tosses. We would not expect each number to be exactly 1/6 of the total, but it should be close.

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Answer:

the answer is C coz just 42 cm is abc

The question is unclear, suppose that after the -2x^3 there is a plus then

-2x^3 + 4x^2 +x-3 = (-2x^2+8x-15)(x+2)+27

but 27 is not laster among the possible answers.

If there is a minus after the -2x^3 then

-2x^3 + 4x^2 +x-3 = (1-2x^2)(x+2)-5

But -5 is not lister either.

Answer:

y=-4(x,y)=(0,-4)

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

y=-2(x,y)=(4,-2)

y=-1(x,y)=(6,-1)

y=0(x,y)=(8,0)

y=1(x,y)=(10,1)

Step-by-step explanation:

Answer:

Answer attached

Step-by-step explanation:

I think you can plot it in the graph.

Answer:

A formula is a method that has been proven to work when solving specific types of problems.

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

We know that 7 times 7 is 49, so

\(\sqrt{49}\) = \(\sqrt{(7 )(7)}\) = 7

Answer:

87,500,306

Step-by-step explanation:

87 million 500 thousand 306

The number name for the numeral 87500306 is written as Eight crore seventy five lakh and three hundred six in  Indian system and Eighty seven million five hundred and three hundred six in International system.

To write the number name for the numeral 87500306.

A numeral is a figure, symbol, or group of figures or symbols denoting a number. Numerals are made up of digits; 1 is a digit, "123" is made up of 3 digits, and "123" is a numeral that represents the number one hundred twenty-three.

1. Indian system =8,75,00,306

Eight crore seventy five lakh and three hundred six.

2. International system 87,500,306

Eighty seven million five hundred and three hundred six.

So, the number name for the numeral 87500306 is written as Eight crore seventy five lakh and three hundred six in  Indian system and Eighty seven million five hundred and three hundred six in International system.

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Answer: it is one of the last two

Step-by-step explanation:

The discriminant of the function \(f(x,y)\) cannot be defined, as it does not have any quadratic terms. However, we can compute the Hessian matrix of \(f(x,y)\), which can be used to analyze the critical points and extrema of the function.

The discriminant of a function \(f(x,y)\) is typically defined as the expression \(B^2 - 4AC\), where A, B, and C are coefficients of the quadratic terms in the function. However, in this case, the function \(f(x,y)\) does not have any quadratic terms, so it is not clear how to define the discriminant.

If you meant to ask for the Hessian matrix of f, which is a square matrix of second-order partial derivatives of f, then we can compute it as follows:

\(f(x,y) = \frac{5x^2 y^2}{4x^2 + 10y^2}\)

Taking partial derivatives with respect to x and y, we get:

\(f(x,y) = \frac{25xy^2}{2(2x^2+5y^2)^2}\)

\($f(x,y) = \frac{25yx^2}{2(5x^2+2y^2)^2}$\)

Taking partial derivatives of these functions with respect to x and y again, we get:

\($f_{xx}(x,y) = \frac{25y(15y^2-8x^2)}{2(2x^2+5y^2)^3}$\)

\($f_{yy}(x,y) = \frac{25x(15x^2-8y^2)}{2(5x^2+2y^2)^3}$\)

\($f_{xy}(x,y) = \frac{25xy(20x^2-20y^2)}{2(2x^2+5y^2)^2(5x^2+2y^2)^2}$\)

The Hessian matrix of \(f(x,y)\) is then:

\($H_f(x,y) = \left| \begin{matrix} f_{xx}(x,y) & f_{xy}(x,y) \ f_{xy}(x,y) & f_{yy}(x,y) \end{matrix} \right|$\)

\($\mathbf{Hf}(x,y) = \begin{pmatrix}\frac{25y(15y^2-8x^2)}{2(2x^2+5y^2)^3} & \frac{25xy(20x^2-20y^2)}{2(2x^2+5y^2)^2(5x^2+2y^2)^2} \\frac{25xy(20x^2-20y^2)}{2(2x^2+5y^2)^2(5x^2+2y^2)^2} & \frac{25x(15x^2-8y^2)}{2(5x^2+2y^2)^3}\end{pmatrix}$\)

\($\left| \frac{25xy(20x^2-20y^2)}{2(2x^2+5y^2)^2(5x^2+2y^2)^2} \cdot \frac{25x(15x^2-8y^2)}{2(5x^2+2y^2)^3} \right|$\)

Simplifying this expression is possible, but it is quite lengthy and not particularly insightful. Instead, we can make some observations about the Hessian matrix:

The Hessian matrix is symmetric, since \(fxy(x,y) = fyx(x,y)\)

The Hessian matrix is continuous and has continuous first-order partial derivatives everywhere, except at the origin (0,0), where the denominator of the expression for f is zero.

Therefore, we can conclude that the discriminant of \(f(x,y)\) does not exist at the origin, since the Hessian matrix is not defined there. Outside of the origin, the Hessian matrix is well-defined and can be used to analyze the critical points and extrema of the function \(f(x,y)\).

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The acceleration of this classroom table is equal to 1.5 meter per seconds square.

From Newton's Second Law of Motion, the force exerted on the classroom table is modeled or represented by this mathematical equation (formula):

F = ma

Where:

By making "acceleration" the subject of formula, we have the following:

Acceleration, a = force/mass

Acceleration, a = 36/24

Acceleration, a = 1.5 meter per seconds square.

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Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

9

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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True, free bilirubin is transported by the blood to the liver.

Macrophages begin the disposal of hemoglobin by separating the heme from the globin. They hydrolyze the globin into free amino acids, which can be used for energy-releasing catabolism or recycled for protein synthesis.

Bilirubin

Bilirubin is a red-orange compound that occurs in the normal catabolic pathway that breaks down heme in vertebrates. This catabolism is a necessary process in the body's clearance of waste products that arise from the destruction of aged or abnormal red blood cells.

Hemoglobin

Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs.

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Yes, the equation has no real roots.

To solve this equation, we first move the constant terms to the right side and the terms with x to the left side.

3x² - 4√3x = -4

Next, we square both sides of the equation.

(3x² - 4√3x)² = (-4)²

9x⁴ - 24√3x² + 16x = 16

Next, we move the constant terms to the right side of the equation.

9x⁴ - 24√3x² = -16

Next, we factor the left side of the equation.

(3x² - 8√3)(3x² + 8√3) = 0

Finally, we set each factor equal to zero and solve for x.

3x² - 8√3 = 0

3x² + 8√3 = 0

However, these equations have no real solutions, so the original equation has no real roots.

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Solution:

1)Distance covered by cyclist=3.75 miles.

Time =0.3 hours.

Speed= Distance ÷Time

Speed =3.75÷0.3=12.5 miles per hour.

2) Speed = 12.5 miles per hour, Distance = 4.5 miles .

Time = Distance ÷Speed.

Time = 4.5÷12.5=0.36 hours.

Time taken to cover 4.5 miles is 0.36 hours.

Answer:

The answer is 1.35.

Step-by-step explanation:

The unit that is most appropriate for the time at which the number of weeks is 120 is given as follows:

Week.

The general format for an exponential function is given as follows:

\(y = a(b)^{\frac{x}{n}}\)

The parameters for the exponential function are defined as follows:

The number of weeds in my yard doubles every 3 weeks, and the initial number of weeks is of 80, hence the values of the parameters are given as follows:

a = 80, b = 2, n = 3.

As n = 3, we have that the unit of the output variable is of weeks, hence weeks is the appropriate measure in this problem.

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5* x * y simplified is 5xy

Based on the given triangles, let's check if they satisfy the SSS congruence. To prove that we have SSS congruence for triangles UTV and RQS, the sides must have equal proportions. Let's check the ratio for UT to RQ, TV to QS, and VU to SR. We have the following

All side ratio has the same value, hence, triangle UTV and triangle RQS are congruent based on SSS congruence.

a) The actual distance between towns K and L is: 100 km

b) As shown in the attached file

c) The bearing of town L from town K is 117 degrees.

The scale of the map is given as:

1 cm to represent 50 km

Now, when we measure the distance between K and L on the map, we see that it gives us a distance of 2 cm.

Using the scale of 1 cm: 50 km, we can say that:

Actual distance between towns K and L = (2 * 50)/1 = 100 km

b) Using a compass and it’s 3cm aiming down {South} as seen in the attached photo. Then a line was drawn aiming {South} with a ruler. On the end of the line the (x) point was put there to get the mark.

c) Measuring the angle gives the bearing of town L from town K which is 117 degrees.

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The cost of  \(2^{-1\) lb is $2.

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as \(3^4\), where 4 is the exponent and 3 is the base.

Given:

Cost of 1 lb Jelly bean = $4.

So, the cost of  2 to the power of negative 1 lbs i.e., \(2^{-1\)

= 4 x \(2^{-1\)

= 4 x 1/2

= $2

Hence, cost of \(2^{-1\) is $2.

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The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

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Answer: 3.75 miles

Step-by-step explanation:

Divide 30 by 8. 30/8= 3.75. If she walked 1/8 then she walked 3.75 miles

The highest exponent of x in F(x) is 37, which means the algebraic degree of the function is 37.

The function F(x) is a cubic function.

Here, we have,

given function is:

F(x) = α⁴⁹ * x³⁷ + α⁵² * x²⁸ + α⁸¹ * x¹³ + α²⁶ * x⁹ + α³¹ * x

To determine the algebraic degree of the given (7,7)-function F(x), we need to find the highest exponent of x in the function.

F(x) = α⁴⁹ * x³⁷ + α⁵² * x²⁸ + α⁸¹ * x¹³ + α²⁶ * x⁹ + α³¹ * x

The algebraic degree of a polynomial function corresponds to the highest exponent of the variable in the function.

Linear functions have an algebraic degree of 1, affine functions have an algebraic degree of 1 or 0, quadratic functions have an algebraic degree of 2, and cubic functions have an algebraic degree of 3.

so, we get,

The highest exponent of x in F(x) is 37, which means the algebraic degree of the function is 37.

Therefore, the function F(x) is a cubic function.

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The digits missing from the equation are 100, 10 and 1 respectively. The solution has been obtained by using the concept of algebraic equation.

What is algebraic equation?

If a mathematical phrase has variables, constants, and algebraic operations, it is said to be "algebraic" (addition, subtraction, etc.). The expression must contain the equals sign and satisfy the algebraic equation.

We are given an expression as

3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100

On multiplying, we get

= (3 × 100) + (5 × 10) + (8 × 1)

= 358

Hence, the digits missing from the equation are 100, 10 and 1 respectively.

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The correct answer is B. Increase the sample size and modify the design of the survey to decrease the standard deviation.

The confidence level in statistics denotes the likelihood that the estimation of the position of such a statistical parameter (e.g., an arithmetic mean) in a survey study is also true for such population.

Some characteristics of confidence level are-

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The complete question is-

A researcher is conducting a survey for which she currently has 93% confidence level. What would be two actions that she could take that would be most likely to increase the confidence level in her survey result?

A. Increase the sample size and modify the design of the survey to increase the standard deviation.

B. Increase the sample size and modify the design of the survey to decrease the standard deviation.

C. Decrease the sample size and increase the randomness of the survey sample.

D. Modify the design of the survey to increase the standard deviation and decrease the randomness of the survey sample

Answer:

1/3

Step-by-step explanation:

(number of favoured outcomes)/(total possible outcomes)

here number of favoured choices is 1 and the total number of choices is 3

The \(PROBABILITY\) of drawing a \(BLUE\) counter is

\(\frac{1}{3}\) because we have 3 counters, and only 1 of them is blue.

Hope it helps!

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