Solve: -19 = X - 19 halppppp

Answer:

Step-by-step explanation:

If I name the centre (intersection of diagonals) as O, Angle AOD will be equal to 68°

[Opposite angles are equal]

The diagonals bisect the 4 corner angles of a rectangle in equal halves. So, a = 45°

Also, Angle ADO = 90° - b

[Each of the four angles in a rectangle = 90°]

And In \(\triangle\) AOD,

=> Angle AOD + Angle ADO + Angle OAD = 180°

=> 68° + 90° - b + 45° = 180°

=> 203° - b = 180°

=> b = 23°

To determine a cubic polynomial with integer coefficients that has \($\sqrt[3]{2} \sqrt[3]{4}$\)as a root, we can use the fact that if $r$ is a root of a polynomial, then $(x-r)$ is a factor of that polynomial.

In this case, let's assume that $a$ is the unknown cubic polynomial. Since\($\sqrt[3]{2} \sqrt[3]{4}$\) is a root, we have the factor\($(x - \sqrt[3]{2} \sqrt[3]{4})$\).
Now, we need to rationalize the denominator. Simplifying \($\sqrt[3]{2} \sqrt[3]{4}$, we get $\sqrt[3]{2^2 \cdot 2} = \sqrt[3]{8} = 2^{\frac{2}{3}}$.\)
Substituting this back into our factor, we have $(x - 2^{\frac{2}{3}})$. To find the other two roots, we need to factor the cubic polynomial further. Dividing the cubic polynomial by the factor we found, we get a quadratic polynomial. Using long division or synthetic division, we find that the quadratic polynomial is \($x^2 + 2^{\frac{2}{3}}x + 2^{\frac{4}{3}}$.\)Now, we can find the remaining two roots by solving this quadratic equation using the quadratic formula or factoring. The resulting roots are Simplifying these roots further will give us the complete cubic polynomial with integer coefficients that has\($\sqrt[3]{2} \sqrt[3]{4}$\) as a root.

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A cubic polynomial with integer coefficients that has \(\sqrt[3]{2} \sqrt[3]{4}\) as a root is \(x^{3} - 6x^{2} + 12x - 8$\).

To determine a cubic polynomial with integer coefficients that has  \(\sqrt[3]{2} \sqrt[3]{4}\) as a root, we can start by recognizing that the expression  \(\sqrt[3]{2} \sqrt[3]{4}\) can be simplified.

First, let's simplify \(\sqrt[3]{4}\). We know that \(\sqrt[3]{4}\) is the cube root of 4. Therefore, \(\sqrt[3]{4} = 4^{\frac{1}{3}}\).

Next, let's simplify \(\sqrt[3]{2}\). This can be written as \(2^{\frac{1}{3}}\) since \(\sqrt[3]{2}\) is also the cube root of 2.

Now, let's multiply \(\sqrt[3]{2} \sqrt[3]{4}\):
\((2^{\frac{1}{3}}) (4^{\frac{1}{3}})\).

Using the property of exponents \((a^m)^n = a^{mn}\), we can rewrite the expression as \((2 \cdot 4)^{\frac{1}{3}}\). This simplifies to \(8^{\frac{1}{3}}\).

Now, we know that \(8^{\frac{1}{3}}\) is the cube root of 8, which is 2.

Therefore, \(\sqrt[3]{2} \sqrt[3]{4} = 2\).

Since we need a cubic polynomial with \(\sqrt[3]{2} \sqrt[3]{4}\) as a root, we can use the root and the fact that it equals 2 to construct the polynomial.

One possible cubic polynomial with \(\sqrt[3]{2} \sqrt[3]{4}\) as a root is \((x-2)^{3}\). Expanding this polynomial, we get \(x^{3} - 6x^{2} + 12x - 8\).

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The diagram of the given inequalities plotted on the x-axis has been given below.

To explain this diagram, we use the concepts of open and closed intervals and points.

Whenever we mention a set of numbers, we have to specify whether the endpoints are actually present in the set or not.

For example,

A) When we write x ≤ 1, it denotes all values lesser than or equal to 1 that can be taken by x.

This is denoted in set form by Square Brackets { '[' }, which implies the endpoint is included in the set.

In graphical form, such points are denoted by closed circles, and such regions are bordered by normal lines.

B) When we write x > 8, it denoted all values greater than 8 can be taken by x, but not 8 in itself.

This is denoted in set form by Normal Brackets { '(' }, which implies the endpoint is not included in the set.

In graphical form, such points are denoted by open circles, and such regions are bordered by dotted lines.

Here, the point (1,0) is represented by a closed circle, and the set ( -∞, 1], is bordered by a normal line.

The point (8,0) is represented by an open circle, and the set (8, ∞) is bordered by a dotted line.

The given diagram shows this perfectly.

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Answer:

V =25²pi18/3) = 625pi(6) = 3,750π

A20-3a+2=0

22-3a=0

-3a=-22

a=22/3

A= 7,3

This indicates that the value of V, calculated using the given values of M, P, and Q, is equal to 5.0.

To calculate V, we can use the formula V = (M/P) * Q. Plugging in the given values, we have V = ($6,000/$10) * (-2,400). Simplifying further, we get V = 600 * (-2,400) = -1,440,000. Therefore, V equals -1,440,000.

The formula to calculate V in this scenario is V = (M/P) * Q. In this formula, M represents the value of M, P represents the value of P, and Q represents the value of Q. By substituting the given values into the formula, we obtain V = ($6,000/$10) * (-2,400).

To calculate V, we divide the value of M ($6,000) by the value of P ($10), which yields 600. Then we multiply this result by the value of Q (-2,400), resulting in -1,440,000. Therefore, V is equal to -1,440,000.

It's important to note that the negative value of V indicates a decrease or loss in quantity or value. In this case, the negative value suggests a decrease in some metric represented by V. Without further context or information, it is not possible to determine the exact meaning or implications of this decrease.

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Answer:

9800 ml

Please mark as Brainliest!

Answer:

Step-by-step explanation:

the sum of the interior angles of a triangles is 180°

so

180 - 39 - 102 =

39

(it is an isosceles triangle)

In the given triangle the value of x° = 39°.

" A triangle is defined as the two dimensional closed shape with three sides , three vertices and three angles enclosed in it."

Theorem used

In ΔABC,

∠A + ∠B + ∠C = 180°

According to the question,

In the given triangle,

∠A represents measure of 102°

∠B represents measure of 39°

∠C represents measure of x°

Substitute the value in the triangle theorem   we get,

102° + 39° + x° = 180°

⇒141° + x° = 180°

⇒ x° = 180° - 141°

⇒ x° = 39°

Hence, in the given triangle the value of x° = 39°.

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The 98% confidence interval for the number of chocolate chips per cookie in Big Chip cookies, based on the sample data, is estimated to be between 18.865 and 20.935. This means that we can be 98% confident that the true mean number of chocolate chips per cookie falls within this range.

To calculate the confidence interval, we use the formula:

Confidence Interval = sample mean ± (critical value * standard deviation/square root of sample size)

In this case, the sample mean is 19.9, the standard deviation is 3.6, and the sample size is 79. The critical value is obtained from the Z-table for a 98% confidence level, which corresponds to 2.33.

Plugging these values into the formula, we get:

Confidence Interval = 19.9 ± (2.33 * 3.6/√79)

Simplifying the calculation gives us the confidence interval of 18.865 to 20.935.

This means that based on the sample, we are 98% confident that the true mean number of chocolate chips per cookie in the population of Big Chip cookies falls within the range of 18.865 to 20.935.

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Diego and Whitney are 180 feet apart when they begin walking directly toward one another. Therefore, it will take 22.5 seconds for Diego and Whitney to meet.

Diego and Whitney are 180 feet apart when they start walking towards each other. Diego's speed is 2.5 feet per second, while Whitney's speed is 5.5 feet per second.

Let t represent the number of seconds elapsed since they started walking. The combined speed of Diego and Whitney is 2.5 + 5.5 = 8 feet per second.

To find out when they meet, we need to determine the time it takes for them to cover a distance of 180 feet. Using the formula distance = speed × time, we can rearrange it to solve for time: 180 = 8t

Dividing both sides of the equation by 8, we get: t = 180 ÷ 8 = 22.5 seconds.

Therefore, it will take 22.5 seconds for Diego and Whitney to meet.

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The fractions to show the value of each 9 in the decima 0.999 are 9/10, 9/100, 9/1000.

To write the fraction that shows the value of each 9 in the decimal 0.999, we can use the following method

The digit 9 in the tenths place represents 9/10 or 0.9.

The digit 9 in the hundredths place represents 9/100 or 0.09.

The digit 9 in the thousandths place represents 9/1000 or 0.009.

Thus, the fractions are

0.9 = 9/10

0.09 = 9/100

0.009 = 9/1000

The value of the 9 on the left is related to the value of the 9 in the middle by a factor of 10.

The value of the 9 on the right is related to the value of the 9 in the middle by a factor of 10, so the 9 on the right is one-tenth the value of the 9 in the middle.

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The domain of f is the interval [-37, ∞).

For a function to have an inverse, it must be one-to-one, which means that it must pass the horizontal line test, i.e., each horizontal line should intersect the graph of the function at most once.

The derivative of the function is:

\(f'(x) = 6 + (1/2√(x+37))\)

f'(x) is always positive because 6 is positive and the square root is positive, so f(x) is an increasing function. This means that f(x) is one-to-one and therefore has an inverse.

To determine the largest interval on which f has an inverse, we need to find the domain of f. The square root can only take non-negative values, so we must have x+37 ≥ 0, which means x ≥ -37.

Therefore, the domain of f is the interval [-37, ∞).

Since f is increasing over this interval, its inverse will also be increasing, and the largest interval on which f has an inverse is [-37, ∞).

The proper question is "Let f(x)=6x+√(x+37)Choose the form of the largest interval on which f has an inverse and enter the value(s) of the endpoint(s) in the appropriate blanks. Then find (f−1)′(0)

Endpoints(a ,b)"

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Answer:

\(\frac{2,000}{365}\)=\(\frac{x}{500}\)

4  gigabytes of data are being paid for by Verizon.

An arithmetic intelligence operation minus simulates the process of deleting items from either a collection. To subtract is to take something or something from a particular group. The group's total number of items decreases and became lower when people eliminate it. The components of a subtraction issue are the issues dealing with, forces at play, and differences. The negative symbol, or, denotes subtraction.

A new mobile phone plan from Verizon costs $40 for unlimited call time and $12 per gigabyte of data.

If you owe $88 to the company then,

Then the data that is being consumed will be  88 - 40 = 48

The amount for which the payment is being made will be

48/12

= 4

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Step-by-step explanation:

see the attachment...............

see the attachment...........

Answer:

(3)

(4)

Step-by-step explanation:

but I could be wrong

Answer:

20

Step-by-step explanation:

Since I am given two values of the triangle, I will input the equation a²+b²=c².

"c" represents the hypotenuse. First I plug in the values of the legs, 12²+16²=c². Next I simplify these values to 144+256=c², which is 400=c². Finally I take the square root from both the value and the variable: √400=√c² which is equivalent to 20=c. Therefore, the hypotenuse is 20. Hopefully this helps :)

Answer:

13/12

Step-by-step explanation:

The random variable that has a distribution that can be approximated by a binomial distribution is the number of college-bound students among the 100 high school graduates who took the SAT test.

Since approximately 45% of all high school graduates took the test, we can assume that the probability of a high school graduate being college-bound and taking the test is 0.45. Therefore, the number of college-bound students among the 100 high school graduates who took the test follows a binomial distribution with parameters n=100 and p=0.45.
Your question involves the terms "college-bound students," "100 high school graduates," and "binomial distribution." In this scenario, the random variable that can be approximated by a binomial distribution is the number of high school graduates who took the SAT out of the randomly selected 100 high school graduates.
To explain further, a binomial distribution is used when there are a fixed number of trials (in this case, 100 high school graduates), with only two possible outcomes (either a graduate took the SAT or did not take the SAT), and each trial is independent with the same probability of success (45% in this case). The random variable of interest, the number of students who took the SAT, meets these criteria, and thus can be approximated by a binomial distribution.

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Explanation:

When going from A(-2,-3) to A '(-6,-9), we multiplied both coordinates by the scale factor 3. In other words, we tripled the coordinates.

Do the same thing to the coordinates of point B.

Therefore we arrive at (12, 0) as the final answer. This is choice C.

Answer:

a.\(\frac{x+10}{5} = 9.5\)

b. $37.50

Step-by-step explanation:

To find out how much the 5 were paying in total, we can add the bill and the tip. This gives us x + 10. Since there are 5 people and they are splitting the bill equally, the total amount would be divided by 5 to get the amount each person pays: \(\frac{x+10}{5}\). We already know the amount they each paid, as it is given as $9.50. Both expressions represent the same thing, do we can set them equal to each other:

\(9.5 = \frac{x+10}{5}\)

Now, we can solve.

First, we can multiply by 5 on both sides to get:

47.5 = x + 10

And then subtract 10:

x = 37.5

This means the bill before the tip was $37.50

By the radius-tangent theorem, the radius is equal to 39/10 units.

In Euclidean geometry, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the side lengths of a right-angled triangle.

Since CB is tangent to OA at point C and line segment CB is perpendicular to line segment AC by the radius-tangent theorem, we would determine the radius by applying Pythagorean's theorem as follows;

r^2 + 8^2 = (r + 5)^2

r^2 + 64 = r^2 + 10r + 25

r^2 - r^2 = -10r + 64 - 25

10r = 39

r = 39/10 units.

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The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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A permutation is an arrangement of outcomes in which the order does matter.

A combination is an arrangement of outcomes in which the order does not matter.

In this case, for example, the password HI is different from the password IH. In both cases, the outcomes (letters H and I) are the same, but the order of them changes the arrangement (the password). Therefore, the problem involves a permutation because the order of letters selected does matter

L on JK such that JK : JL = 4:1 if J(-3,5) and K(1,-10) is: [-2, 5/4]. This can be solved using the section formula.

In order to get the location of a point that splits a line segment connecting two points into two sections with a length ratio of m:n, the section formula is utilised. The Section formula is used in coordinate geometry to determine whether a line segment is divided internally or externally by a point. To determine a triangle's centroid, in center, and ex-center, apply this formula. It is used in physics to identify equilibrium locations, the mass center of systems, and other concepts.

JK : JL = 4 : 1

That means JL = 1 and LK = 3

Now, (x₁, y₁) = (-3, 5)

(x₂, y₂) = (1, -10)

from above data, m = 1 and n = 3

Next, applying By section formula, we get:

= [(mx₂ + nx₁)/ (m + n) , (my₂ + ny₁)/ (m + n)]

= [(1 × 1 + 3× -3)/ (1 + 3) , (1×(-10) + 3 × 5)/ (1 + 3)]

= [-8/4 , 5/4]

= [-2, 5/4]

so, L = [-2, 5/4]

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Answer:

The width of the prisim is equal to 2.23 feet.

Step-by-step explanation:

let l is length and b is width.

Length, l = 4b

The volume of the prism is 160 ft³.

The height of the prism is 8 ft.

The formula for the volume of a prism is given by :

\(V=lbh\\\\160=4b\times b\times 8\\\\160=32b^2\\\\b^2=\dfrac{160}{32}\\\\b=\sqrt5\\\\b=2.23\ ft\)

So, the width of the prisim is equal to 2.23 feet.

Answer:

Step-by-step explanation:

length =15 feet

width =10 feet

According to the figure showing 2020 GDP for selected countries, America’s GDP is 21.43% which is 7.19% larger than China’s GDP which is 14.24%.

A country's economic output is measured by its gross domestic product (GDP). GDP is estimated by totaling all the commodities and services produced in a nation within a predetermined time frame, typically a year. In 2020, America’s GDP was 21.43% of the total GDP of selected countries. This is 7.19% larger than China’s GDP which was 14.24% of the total GDP of selected countries.

We must use exchange rates to convert GDPs to a common currency in order to compare GDPs across nations. Once the GDPs are expressed in a similar currency, we can compare the GDP per capita of each nation by dividing the GDP by the population. Large GDPs are common in countries with big populations, although GDP is not always a reliable measure of a country's wealth. GDP per capita is a better metric.

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Complete question is:

According to the figure showing 2020 GDP for selected countries, how much larger (in percentage terms) is America's GDP than:

The G D Ps are as follow: United states, 21.43; China, 14.24; Japan, 5.08; Germany, 3.86; India, 3.87; Great Britain, 2.83; Russia, 1.70; Mexico, 1.27; Sweden, 0.53; Greece, 0.21; Haiti, 0.08.

Round your responses to the nearest whole number.

1. Russia?

______ % larger

2. Germany?

______ % larger

Becca's solution is not correct. Multiplying the volume of the cube (10 x 10 x 10 = 1,000 cubic cm) by 1.5 will not give the correct total volume of the composite figure.

From the information, Becca needs to find the volume of the following composite figure formed by stacking a triangular prism on top of a cube.She finds the volume of the cube by multiplying 10 by 10 by 10 to get 1,000 cubic cm. Then, she multiples by 1.5 to get the total volume of the figure.

The solution is incorrect is because the triangular prism and the cube are separate shapes and their volumes need to be added together to find the total volume of the composite figure. Becca needs to calculate the volume of the triangular prism separately and add it to the volume of the cube to find the total volume of the composite figure.

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