Find the value of x.
X
35°
18.

Answer:

30ft³

Step-by-step explanation:

asuming it has the shape of a rectangular prism

formula would be

V=whl

step 1 swap the numbers

V= (2)(5)(3)

step 2 multiply

V= 30

step 3 add the labels

V=30ft³

The exchange rate for pounds to euros is 1 GBP = 1 EUR.

Based on the information provided, where 1 euro is equal to £1, we can infer that the exchange rate for pounds to euros is 1:1. This means that 1 British pound (GBP) is equivalent to 1 euro (EUR). The exchange rate indicates the value of one currency in relation to another. In this case, the exchange rate suggests that the pound and the euro have equal value.

Exchange rates can fluctuate due to various factors such as economic conditions, interest rates, and political stability. However, if the given exchange rate of 1 GBP = 1 EUR is accurate, it implies that the pound and the euro have a fixed parity, where their values are considered equal. This is relatively uncommon, as currencies typically have different exchange rates due to various factors impacting their economies. It's important to note that exchange rates can vary and it's always advisable to check with current market rates or financial institutions for the most up-to-date exchange rate information.

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The figure is attached.

The axis of symmetry is a straight line that makes the shape of the object symmetrical. The axis of symmetry creates the exact reflections on each of its sides.

Given that, draw line segment AB and find its axis of symmetry​

Let's first draw a line segment of length 7.3 cm.

1) Draw a line l, mark point A on it.

2) Since length is 7.3 cm, we measure 7.3 cm using ruler and compass.

3) Now, keeping compass opened the same length, we keep pointed end at point A and draw an arc on line l.

So, the required line segment is AB = 7.3 cm.

Now, we need to find its axis of symmetry.

1) Given a line segment AB.

2) Now with A as centre, and radius more than half AB, draw an arc on top and bottom of AB.

3) Now with B as centre, and same radius, draw an arc on top and bottom of AB.

4) Where the two arcs intersect above AB is point C and where the two arcs intersect below AB is point D.

Join CD.

CD is the line of symmetry of line segment AB.

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the mode of the distribution is x = 2.

To find the mode of the distribution, we need to find the value of x that corresponds to the peak of the distribution function. In other words, we need to find the value of x at which the probability density function (pdf) is maximized.

To do this, we first need to find the pdf. We can do this by taking the derivative of the cumulative distribution function (cdf):

\(f[x] = \frac{d}{dx} F[x]\)

For 0 ≤ x < 3, we have:

\(f[x] = \frac{d}{dx} {[(1/9) (2 x^2 - x^{3/3}]}\\f[x] = 1/9 {(4x - x^2)}\)

For x ≥ 3, we have:

f[x] = d/dx (1)
f[x] = 0

Therefore, the pdf is:

\(f[x] = (1/9) (4x - x^2)\)for 0 ≤ x < 3
f[x] = 0 for x ≥ 3

To find the mode, we need to find the value of x that maximizes the pdf. We can do this by setting the derivative of the pdf equal to zero and solving for x:

\(\frac{df}{dx} = (4/9) - (2/9) x = 0\)
x = 2

Therefore, the mode of the distribution is x = 2.

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9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

In an isosceles right triangle, the side length ratios are ...

  1 : 1 : √2 = x : x : 8√2

The latter ratios will match the first ratios when x=8.

__

That is, x = (8√2)/(√2) = 8.

The measure of angle 2 is 70° and the measure of angle 3 is also 70°°.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

From the given information ∠1 and ∠3 are pairs of alternate interior angles.

Therefore, m∠1 = m∠B = 70°.

We also know that the vertically opposite angles are equal,

Here ∠1 and ∠2 are vertically opposite angles,

Therefore, m∠1 = m∠2 = 70°.

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Answer:

a)3/5

b)2

c)√5

...........

Answer:

√9/5 = 3/25 = 0.12

√12/3 = 1.15

√15/3 = 1.29

Just subtract the sum of 1/4 and 1/3 on 1

.

1 - [(1/3) + (1/4)]

Get the least common denominator. LCD = 12

= 12/12 - [(4/12) + (3/12)]

= 12/12 - (7/12)

= 5/12

.

Therefore, 5/12 of the tank is empty.

Step-by-step explanation:

6+.08= 6.08

hope this helps

The exact value of R is 0.16 or 16% using compound interest.

To find the exact value of R, we need to use the formula for compound interest. The formula for compound interest is: A = P(1 + r/n)^(nt)Where A is the final amount, P is the principal amount, r is the nominal interest rate, n is the number of times interest is compounded per year, and t is the number of years.

We can plug in the values given in the question to find R. The interest earned during t = 0.5 to t = 1.5 is 1.0816 times the interest earned during t = 0 to t = 1.

So, we can set up an equation:1.0816(P(1 + R/4)^(4*1)) = P(1 + R/4)^(4*1.5)Simplifying the equation gives us:1.0816 = (1 + R/4)^0.5

Taking the square root of both sides gives us:1.04 = 1 + R/4Subtracting 1 from both sides and multiplying by 4 gives us:R = 0.16Therefore, the exact value of R is 0.16 or 16%.

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The relationship between the ratios of sin x° and cos yº is that they are reciprocals. The correct answer is option c. The ratios of sin x° and cos yº are reciprocals of each other.

In trigonometry, sin x° represents the ratio of the length of the side opposite the angle x° to the length of the hypotenuse in a right triangle. Similarly, cos yº represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Since the hypotenuse is the same in both cases, the ratios sin x° and cos yº are related as reciprocals. This means that if sin x° is equal to 12/13, then cos yº will be equal to 13/12. The reciprocals of the ratios have an inverse relationship, where the numerator of one ratio becomes the denominator of the other and vice versa.

It's important to note that the signs of the ratios can vary depending on the quadrant in which the angles x° and yº are located. However, the reciprocal relationship remains the same regardless of the signs.

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Answer:

Step-by-step explanation:

yes they are both congruent because if you were to take one triangle and put it over the other it would match.

Answer:

congruent by a rotation of 180 degrees around point R

Step-by-step explanation:

when rotating a shape positively is always a counterclockwise rotation and S is congruent to P T to Q and R to R

Answer:The answer is x > -1

Step-by-step explanation:

To determine the Carry (C) and Overflow (V) flags when adding the given decimal values using 4-bit registers, we need to convert the values to 4-bit binary representation and perform the addition. Here's the calculation for each case:

X = 2, Y = 3

Binary representation:

X = 0010

Y = 0011

Performing the addition:

0010 +

0011

0101

C (Carry) = 0

V (Overflow) = 0

X = 2, Y = 7

Binary representation:

X = 0010

Y = 0111

Performing the addition:

0010 +

0111

10001

Since we are using 4-bit registers, the result overflows the available bits.

C (Carry) = 1

V (Overflow) = 1

X = 4, Y = -5

Binary representation:

X = 0100

Y = 1011 (2's complement of -5)

Performing the addition:

0100 +

1011

1111

C (Carry) = 0

V (Overflow) = 0

X = -5, Y = -7

Binary representation:

X = 1011 (2's complement of -5)

Y = 1001 (2's complement of -7)

Performing the addition:

1011 +

1001

11000

Since we are using 4-bit registers, the result overflows the available bits.

C (Carry) = 1

V (Overflow) = 1

X = 2, Y = -1

Binary representation:

X = 0010

Y = 1111 (2's complement of -1)

Performing the addition:

0010 +

1111

10001

Since we are using 4-bit registers, the result overflows the available bits.

C (Carry) = 1

V (Overflow) = 1

Note: The Carry (C) flag indicates whether there is a carry-out from the most significant bit during addition. The Overflow (V) flag indicates whether the result of an operation exceeds the range that can be represented with the available number of bits.

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The length of HI is given as follows:

HI = 15.

Two triangles are defined as similar triangles when they share these two features listed as follows:

The proportional relationship for the side lengths in this problem is given as follows:

3/HI = 5/25

Applying cross multiplication, the length of HI is given as follows:

3/HI = 1/5

HI = 3 x 5

HI = 15.

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we will use the formula of tan(A+B)= (tanA+tanB)/(1-tanAtanB)

and tan(A-B)= (tanA-tanB)/(1+tanAtanB)

tan[(pie/4)+(x/2)]= [1+tan(x/2)]/[1-tan(x/2)] ......(1)

tan[(pie/4)-(x/2)]= [1-tan(x/2)]/[1+tan(x/2)]......(2)

now add the equation (1) and (2) which is LHS of question. So we get:

{[1+tan(x/2)]^2 + [1- tan(x/2)]^2}/1-tan^2(x/2)=2[1+tan^2(x/2)]/1-tan^2(x/2)= 2/cosx = 2secx =RHS

Hence proved.

Answer:22.5

Step-by-step explanation:

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies \begin{array}{llll} y+4=4(x-3)\implies y-(\stackrel{y_1}{-4})=\stackrel{m}{4}(x-\stackrel{x_1}{3})\\\\ ~\hfill (\stackrel{x_1}{3}~~,~~\stackrel{y_1}{-4}) \end{array}\)

The solution to the variables are p = 45 and k = 26.3

Proportional equation 1

The equation is given as

2 : 9 = 10 : p

Multiply both sides of the first ratio by 5

So, we have the following representation

5 * 2 : 9 * 5 = 10 : p

Evaluate the products

10 : 45 = 10 : p

By comparison, we have:

p = 45

Proportional equation 2

Here, we have

2.45 : 7 = 9.2 : k

Express as fractions

7/2.45 = k/9.2

So, we have

k = 7/2.45 * 9.2

Evaluate

k = 26.3

Hence, the value of k is 26.3

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In this scenario, the outcome of each flip of the coin can be modeled as a Bernoulli random variable Y, where Y takes the value 1 (heads) with a probability of 0.7 and the value 0 (tails) with a probability of 0.3.

A Bernoulli random variable is a discrete random variable that can take only two possible outcomes, typically labeled as success (1) and failure (0), with a fixed probability associated with success. In this case, the outcome of each flip of the coin can be represented by the Bernoulli random variable Y, where Y = 1 represents the event of getting heads and Y = 0 represents the event of getting tails.

Given that the probability of landing on heads is 0.7, we can assign the following probabilities to the outcomes:

P(Y = 1) = 0.7 (probability of getting heads)

P(Y = 0) = 0.3 (probability of getting tails)

Thus, for each individual flip of the coin, we can use the Bernoulli random variable Y to model the outcome, where Y takes the value 1 (heads) with a probability of 0.7 and the value 0 (tails) with a probability of 0.3.

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Answer:

0

Step-by-step explanation:

With 23,000 Dram chips in inventory and a lot of 3,000 chips anticipated in week 3, Noname's total inventory will be 26,000.

No name purchases chips from two vendors, A and B, with A offering lower prices but with a limit of 10,000 chips per week. No name could potentially purchase 10,000 chips from vendor A and 13,000 chips from vendor B to meet its inventory needs. However, it's important to consider the cost of purchasing from both vendors and weigh it against the savings from vendor A's lower prices. Noname should also consider the reliability of both vendors to ensure a consistent supply of chips.

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Answer:

2

Step-by-step explanation:

\( \frac{( {( {x}^{3} {x}^{4} )}^{2}) }{ {( {x}^{5} {x}^{3} )}^{z} } = {x}^{ - 2} \\ \\ \frac{( {( {x}^{3 + 4} )}^{2}) }{ {( {x}^{5 + 3} )}^{z} } = {x}^{ - 2} \\ \\ \frac{ {(( {x}^{7} ) }^{2}) }{ {( {x}^{8} )}^{z} } = {x}^{ - 2} \\ \\ \frac{ {x}^{7 \times 2} }{ {x}^{8 \times z} } = {x}^{ - 2} \\ \\ \frac{ {x}^{14} }{ {x}^{8z} } = {x}^{ - 2} \\ \\ {x}^{14 - 8z} = {x}^{ - 2} \\ \\ 14 - 8z = - 2 \\ \\ 14 + 2 = 8z \\ \\ 16 = 8z \\ \\ z = \frac{16}{8} \\ \\ z = 2\)

Answer:

sorry late. from next time it will be in time

Answer:

Answer down below!

Step-by-step explanation:

The simple way to do this is shown below:

Since two tires cost $74, you know that if you multiply that by two, you'll get your four.

74 x 2 =  148

Four tires will cost you $148

The surface area of cylinder is 72π square yd.

We know that the surface area of the cylinder with radius of base r and height h is given by = 2πrh

Given that the radius of the base of cylinder is 4 yd

The height of the cylinder is 9 yd

So the surface area of the cylinder is = 2*9*4*π = 72π square yd.

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Answer: A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.

Step-by-step explanation:

Answer:

7(x-1)2+3

Step-by-step explanation:

Answer:

48 quarts

Step-by-step explanation:

A gallon is 16 cups and a quart is 4 cups.

So 1 gallon is 4 quarts. 12 gallons is 12 x 4 / 1.

12 x 4 = 48

48 / 1 = 48

12 gallons = 48 quarts.

Answer:

48 quarts

Step-by-step explanation:

1 quart = .25 of a gallon

multiply 12 by 4

Answer: 45

Step-by-step explanation: