1/x=1/400+1/266.67 find the value of x​

The value of {h} is equivalent to 6/5.

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.

Given is the function as follows -

(1/5) + h = (7/5)

We can write the function as -

(1/5) + h = (7/5)

h = 7/5 - 1/5

h = (7 - 1)/5

h = 6/5

Therefore, the value of {h} is equivalent to 6/5.

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Answer:

E

Step-by-step explanation:

using the Sine rule in Δ ABC

\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C

we require to calculate ∠ C

∠ C = 180° - (64 + 85)° = 180° - 149° = 31°

then to find a , using

\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)

\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )

a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )

then to find b , using

\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)

\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )

b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )

b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )

Answer:

never heard about it

Step-by-step explanation:

Answer:

t times 5 is t * 5 or 5t.

Answer:

2/10

Step-by-step explanation:

(9/10)-(7/10) = 2/10

Absolute Value is the positive side of  a number.

So,

2/10 is the answer

Answer:

193 1/3

Step-by-step explanation:

First, we need to convert \(\frac{145}{3}\) into a mixed number.

Now, we can add them together:

Therefore, the answer is \(193\frac{1}{3}\).

Answer:

Example 0-30 in 0-5 5-10 10-15 etc... upto 25-30

a) 12 and 15 or 10 and 15

b) none

c) none

a) Confidence Level Margin of Error Error Bar

68.3%, sx 12.2857 ±2.275 (±18.52%)

so a0 could be also 12.2857 - 2.275 = 10

Answer therefore may be 10 and 15

So try do a histogram go in 10's across 1-10,10-20,20-30,30-40,40-50

And if mean is 43 then you would need to multiply everything inside box by 0.3 before you can start the y axes  

questions like this start with 0 - 50

Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°

To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.

Let's assume the number of months is represented by 'x'.

For Club A, the total cost is given by:

Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)

For Club B, the total cost is given by:

Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)

To find the number of months when the total cost is the same, we set the two equations equal to each other:

$13 + $28x = $19 + $27x

Simplifying the equation, we get:

$28x - $27x = $19 - $13

$x = 6

Therefore, after 6 months, the total cost of each health club will be the same.

To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:

Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181

Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181

So, the total cost for both Club A and Club B will be $181 after 6 months.

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Answer:

Hope this helps you

Step-by-step explanation:

In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

since there is a term of m^-1 (a negative exponent) that we cannot combine with others (as it is not multiplied with another m-based term), it is NOT a polynomial.

Answer:

20

Step-by-step explanation:

percentage error = predictions - actual ÷actual × 100

error

\( \frac{82 - 52 \\ }{52} \times 100\)

=

20

Answer:

372

Step-by-step explanation:

We know that a ratio of 3 : 2 has 5 people, so figuring out how many times that ratio goes into our total number helps us find the value of the total number of adults.

930 / 5 = 186

This means that there are 186 groups of 3 children to 2 adults

So, in each of the 186 groups, there are 2 adults.

Therefore, we can multiply (186)(2)

to find the total number of adults: 372

The number of the children and adult will be 558 and 372.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

At a swimming pool, the ratio of children to adults was 3 : 2.

C / A = 3 / 2

Then solve the equation for C, then the equation will be

C = (3/2)A

The total number of the people is 930. Then the equation will be

C + A = 930

Substitute the value of C in the above equation. Then the equation will be

(3/2)A + A = 930

     (5/2)A = 930

            A = 930 x (2/5)

            A = 372

The number of the adult will be 372.

Then the number of the children will be

C + 372 = 930

         C = 930 – 372

         C = 558

The number of the children will be 558.

Thus, the number of the children and adult will be 558 and 372.

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The surface area covered by oceans is approximately 139,870,000 square miles.

To approximate the surface area covered by oceans, we need to multiply the percentage of the Earth's surface covered by oceans (71%) by the total surface area of the Earth.

Since we don't have the exact value of the Earth's surface area, we'll use a common approximation of 197 million square miles.

Surface area covered by oceans ≈ (71/100) * 197 million square miles

Calculating:

Surface area covered by oceans ≈ (71/100) * 197,000,000 square miles

≈ 0.71 * 197,000,000 square miles

≈ 139,870,000 square miles

Therefore, based on the given approximation of the Earth's surface area, the surface area covered by oceans is approximately 139,870,000 square miles.

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The expected values of the raffle ticket for you are given as follows:

For the PTO, the expected values are given as follows:

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

For you, the distribution is given as follows:

Hence the expected value for one ticket is given as follows:

E(X) = 62/280 - 4 x 279/280

E(X) = -$3.76.

For twelve tickets, the expected value is given as follows:

12 x -3.76 = -$45.12.

For the PTO, we use the inverse signals, as the distribution is the inverse, that is:

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Answer:

(-1, 0) and (6, 0)

Step-by-step explanation:

\(y=6x+6\\y=-x^2+5x+6\\\\6x+6=-x^2+5x+6\\6x=-x^2+5x\\x=-x^2\)

The solutions for these equations are (-1, 0) and (6, 0).

Answer:

Last option.

Step-by-step explanation:

x = -1

y = 6(-1) + 6

y = -6 + 6

y = 0

( -1, 0 )

x = 0

y = -(0)² + 5(0) + 6

y = 0 + 0 + 6

y = 6

( 0, 6 )

Answer:

133,784,560

Step-by-step explanation:

using the combinations formula: n!/(n-r!)r!, the equation would be 52!/52-7! x 7! which is simplified to 52!/45!7! which is equal to 133,784,560

The number of ways of selecting 7-cards with 2 hearts, 2 diamonds, 2 clubs, and 1 spade is 1,169,176.

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

A standard deck of 52 cards contains 13 cards with hearts, 13 with diamonds, 13 with clubs, and 13 with spades.

The number of ways of selecting 7-cards with 2 hearts, 2 diamonds, 2 clubs, and 1 spade will be

\(\rm Number \ of \ the \ ways = ^{13}C_2 \times ^{13}C_2\times ^{13}C_2\times ^{13}C_1\)

\(\rm Number\ of \ the \ ways=78\times 78\times 78\times 13\)

\(\rm Number \ of \ the \ ways= 6,169,176\)

The number of ways is 6,169,176.

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Answer: 6.4b - 32

Step-by-step explanation:

if it only has one root and is a 2nd degree polynomial, that means that the only one root has multiplicity of 2, or namely is repeated twice.

\(\begin{cases} x = 5 &\implies x -5=0\\ x = 5 &\implies x -5=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x -5 )( x -5 ) = \stackrel{0}{y}}\hspace{5em}\textit{we also know that} \begin{cases} x=-1\\ y=12 \end{cases} \\\\\\ a ( -1 -5 )( -1 -5 ) = 12\implies a36=12\implies a=\cfrac{12}{36}\implies a=\cfrac{1}{3} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{3}(x-5)(x-5)=y\implies \cfrac{1}{3}(x^2-10x+25)=y\implies \boxed{\cfrac{x^2}{3}-\cfrac{10x}{3}+\cfrac{25}{3}=y}\)

The required measure of angle m ∠A  is 58.7° which is the correct answer would be an option (D).

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.

Angles A and B are supplementary.

We have been given that m angle ∠B= 121.3°,

To determine the measure of angle A if the measure of angle B is 121.3°.

As per the property supplementary angles,

m∠A + m ∠B = 180°

m∠A + 121.3 ° = 180°

m ∠A = 180° - 121.3°

m ∠A = 58.7°

Therefore, the required measure of angle m ∠A  is 58.7°

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Answer:

(a)x=128 degrees

(b)\(\angle APD\neq 116^\circ\)

Step-by-step explanation:

\(\angle ABD+\angle CBD =180^\circ$ (Linear Postulate)\\\angle ABD+116^\circ =180^\circ\\\angle ABD=180^\circ-116^\circ\\\angle ABD=64^\circ\)

(a) Now:

\(\angle AOD=2 \times \angle ABD$ (Angle at the centre is twice the angle at the circumference)\\x=2 \times 64^\circ\\x=128^\circ\)

(b)

\(\angle APD=2 \times \angle ABD$ (Inscribed Angle Theorem)\\\angle APD=2 \times 64^\circ\\ \angle APD=128^\circ\)

\(\angle APD\neq 116^\circ\)

Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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The number of batches of muffins she can make will be 5.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that at a berry farm, Clayton picks 1¹/₄ cups of blackberries and twice as many raspberries. He takes the berries home and uses them to make mixed-berry muffins.

The number of the batches of muffins can be calculated as:-

Number = ( 1¹/₄ + 2 x 1 ¹/₄ ) / ( 3 / 4 )

Number = [  ( 5 / 4 ) + ( 5 / 2 ) ] / ( 3 / 4 )

Number = [ ( 15 / 4 ) / ( 3 / 4 ) ]

Number = 5

Therefore, the number of batches of muffins will be 5.

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Answer:

a. Option D

b. H₀ : p₁ = p₂, H₁: p1 ≠ p₂

Step-by-step explanation:

a. A hypothesis test regarding the difference between two population proportions from independent samples. This type of test is used to compare the proportions of two populations. This test is usually appropriate under the conditions that:

The sampling method for each population is simple random sampling.

The samples are independent.

Each sample includes at least 10 successes and 10 failures.

Each population is at least 20 times as big as its sample.

b. Null hypothesis: H₀ : p₁ = p₂

   Alternative hypothesis: H₁ : p₁ ≠ p₂

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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\(\sf 2^{-6}\)

these two options apply

\(\rightarrow \sf \dfrac{1}{2^6}\)

\(\rightarrow \sf 2^{-2} \ * \ 2^4 \ * \ 2^{-8}\)

in decimals : 0.015625

Answer:

Option C and D

Step-by-step explanation:

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Example:

If the given exponent is a⁻ᵇ, then the result will be 1/aᵇ.

This exponent includes a negative sign. To make the exponent positive, take the exponent's reciprocal and change the negative sign to a positive sign. The same will be done to the given expression.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

First, take the exponent's reciprocal as said above.

⇒ \(2^{-6}\)

⇒ \(\frac{1}{2^{-6} }\)

Now, change the exponent's sign.

⇒ \(\frac{1}{2^{-6} }\)

⇒ \(\frac{1}{2^{6} }\)

Now, simplify the term.

⇒ \(\frac{1}{2^{6} }\)

⇒ \(\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2} }\)

⇒ \(\frac{1}{8 \times 8}\)

⇒ \(\frac{1}{64}\)

Using the simplified result we obtained, let's verify all the options to see which is equivalent to the term.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

A)------------------------------------------------------------------------------------------------------

Keep in mind that the exponent is the number of times the base needs to multiply itself.

\(-2^{6} \rightarrow -2 \times -2 \times -2 \times -2 \times -2 \times -2\)

NOTE: If there are even number of "-", then the result should be positive. If there are odd number of "-", then the result should be negative.

\(-2 \times -2 \times -2 \times -2 \times -2 \times -2\)

⇒ \(2 \times 2 \times 2 \times 2 \times 2 \times 2\)

⇒ \(64\)

\(-2^{6} = 64 \neq \frac{1}{64}\)

B)------------------------------------------------------------------------------------------------------

Since -64 is already a simplified term, we can compare this with the simplified result.

\(-64 \neq \frac{1}{64}\)

C)------------------------------------------------------------------------------------------------------

\(\frac{1}{2^{6}}\)

⇒ \(\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2 }\)

⇒ \(\frac{1}{8 \times 8 }\)

⇒ \(\frac{1}{64}\)

\(\frac{1}{2^{6} } = \frac{1}{64} = \frac{1}{64}\)

D)------------------------------------------------------------------------------------------------------

\(2^{-2} \times 2^{4} \times 2^{-8}\)

⇒ \(\frac{1}{2^{2}} } \times 16 \times \frac{1}{2^{8} }\)

⇒ \(\frac{1}{4} \times 16 \times \frac{1}{256}\)

⇒ \(\frac{1}{4} \times 1 \times \frac{1}{16}\)                                                                               [16² = 256]

⇒ \(\frac{1}{4} \times \frac{1}{16}\)

⇒ \(\frac{1}{64}\)

\(2^{-2} \times 2^{4} \times 2^{-8} = \frac{1}{64} = \frac{1}{64}\)

E)------------------------------------------------------------------------------------------------------

\(2^{3} \times 2^{-2}\)

⇒ \(2^{3 - 2}\)

⇒ \(2^{1} = 2\)

\(2^{3} \times 2^{-2} = 2 \neq \frac{1}{64}\)

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Answer:

Step-by-step explanation:

Find the question attached.

Given the zero of the polynomial 5+3i and 0, this means that (x-0) and (x-(5+3i)) are factors

Multiplying the factors together we have;

= x((x-(5+3i))

= x(x-5-3i)

= x²-5x-3xi

Hence the polynomial expression of the zeros is x²-5x-3xi