16^{4x-3}=8^{2x+4}
Solve for X. I keep finding no solutions, but apparently that's incorrect.

Based on the description, the total area of the figure would be 45 square meters.

To find the total area of the figure, we need to divide it into two triangles and one rectangle.

The rectangle has a base of 9 meters and a height of 4 meters, so its area is 9 x 4 = 36 square meters.

The two triangles each have a base of 3 meters and a height of 3 meters, so each triangle has an area of 1/2 x 3 x 3 = 4.5 square meters.

Therefore, the total area of the figure is the sum of the area of the rectangle and the two triangles:

36 + 4.5 + 4.5 = 45 square meters

So the answer is 45 m2.

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Answer:

\(\frac{6}{10}, \frac{7}{10}, \frac{8}{10},\frac{9}{10}\) (in general, the numerator has to be greater than half the denominator)

Step-by-step explanation:

There are an infinite number of fractions greater than 1/2, but we can generally form a rule to figure out whether a fraction is greater than 1/2, which will help us find those fractions!

Let's first just express a fraction in the form: \(\frac{a}{b}\), and we have to ask our self, what determines whether this is 1/2? Well we know if we have 1/2, and multiply it by two, then we have a whole, or one, but the only case where we have a whole, or one, in fraction form, is where the numerator and denominator are equal.

This means, multiplying the numerator "a" by 2, will result in it being equal to the denominator "b". From here, it can be determined that for the fraction: \(\frac{a}{b}\), to be 1/2, then the numerator "a" has to be half the denominator "b". But this is just telling us what "a" and "b" need to be, for the fraction to be equal to 1/2, not greater than 1/2. This is still useful, since in general the following is true: \(\frac{a+1}{b}\), if we add one to the numerator, the fraction becomes bigger. So if we want the fraction to be bigger than 1/2, the numerator "a" just needs to be bigger or larger than the half the denominator "b".

Let's select a denominator, and from there find numerators that make the fraction bigger than 1/2. For this example let's just select "9". In this case, for a fraction to be 1/2, the numerator just has to be larger than 9/2 or 4.5, but since we can't have decimals in fractions, or at least proper fractions, we just need the numerator to be greater than or equal to 5 (5 is included, since it's still bigger than 4.5)

\(\frac{4}{5}\) is actually the only proper fraction, since 5/5 would just simplify to one.

Let's do another example, in this case let the denominator be 10. For the fraction to be considered greater than 1/2, the numerator, has to be greater than half the denominator, 10/2 = 5.

\(\frac{6}{10}, \frac{7}{10}, \frac{8}{10},\frac{9}{10}\) would all be valid answers (although some do simplify further). But all of them represent fractions which have a greater value than 1/2

The standard form of the quadratic function is- y = 2x² + 12x + 7

Here, we are given-

Vertex coordinate = (-3, -11)

Point on the graph = (0, 7)

The vertex form of a quadratic equation is given as-

y = a(x - h)² + k

Where h, k are the coordinates of the vertex.

a is the letter in general form of quadratic equation which is-

y = ax² + bx + c

Thus, here, h = -3, k = -11, x = 0 and y = 7

Substituting these values in the vertex form we get-

7 = a(0 - (-3))² - 11

⇒ 7 + 11 = 9a

9a = 18

a = 18/9

a = 2

Thus, the standard form of the quadratic equation can be calculated as-

y = 2(x - (-3))² - 11

y = 2x² + 12x + 18 - 11

y = 2x² + 12x + 7

Thus, the standard form of the quadratic function is- y = 2x² + 12x + 7

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Answer:

-2

Step-by-step explanation:

1. Identify two points with integer (not fraction or decimal) coordinates:

  Ex: (0,5) and (3,-1)

2. subtract the y-coordinates: -1-5 = -6

   and the x- coordinates (IN THE SAME ORDER): 3-0 = 3

3. divide the difference in y (-6) by the difference in x (3): -6/3 = -2

Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

Answer:its d

Step-by-step explanation:

Answer:

I hope this helps. Have a great rest of your day!

Do you mind showing the answer choices? I just realized you had "Choose 2 answers".

Answer:

  35 cm

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr²h

We want to find h for the given volume and diameter. First, we must convert the given values to compatible units.

  1 L = 1000 cm³, so 99 L = 99,000 cm³

  60 cm diameter = 2 × 30 cm radius

So, we have ...

  99,000 cm³ = π(30 cm)²h

  99,000/(900π) cm = h ≈ 35.01 cm

The oil is 35 cm deep in the drum.

Answer:

24

Step-by-step explanation:

Assuming you want to find a mean, the answer is: 24 (sum of all values/number of values)

Range is largest-smallest

Median is middle value

Answer:

1

Step-by-step explanation:

100+20=120. <-,-----------

Answer:

mira a las base de las figuras y busca cual base matchs con la figuras de la figura prinsipal

Step-by-step explanation:

como el cono va con la del toda la izquierda de la de la mitad

Gross Earning is $323

Total deduction is $95.77 and Net pay is $227.23

In light of the hourly rate and salary (8.50, 38.0)

$8.50 an hour is the pay rate.

worked 38.0 hours in total.

38 hours total compensation (Gross Earning)=38×8.5 =$323

Now, we can see the total tax deduction.

Federal taxes (assumed to be 15% of gross income)

Therefore, Federal taxes = 0.15 x 323 = $48.45

State taxes (assuming 5% of gross earnings)

Therefore, State taxes = 0.05 x 323 = $16.15

Local taxes (assuming 2% of gross earnings)

Therefore, Local taxes = 0.02 x 323 = $6.46

Social security deduction (assuming 7.65% of gross earnings)

Therefore, Social security deduction = 0.0765 x 323 = $24.71

Total deduction = Federal taxes + State taxes + Local taxes + Social security deduction

Total deduction = 48.45+16.15+6.46+24.71 = $95.77

Net Pay = Gross Earning - Total deduction

Net Pay = $323 - $95.77 = $227.23

Thus, Gross Earning is $323, Total deduction is $95.77 and Net pay is $227.23

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Answer: 6

Step-by-step explanation:

Since we are informed that two pipes with lengths of 42 inches and 54 inches respectively are to be cut in pieces of equal lengths and we want to know the number of pieces that they can be cut into.

This question simply means that we need to find the factors of both 42 and 54 and choose the highest.

42 = 1, 2, 3, 6, 7, 14, 21, and 42.

54 = 1, 2, 3, 6, 9, 18, 27, and 54.

Therefore, the highest common factor is 6. Therefore, the greatest possible length will be 6 inches

The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.

The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.

The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.

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Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

A polynomial is an expression that contains several terms.

Examples include...

5x +1

5x^(-2) +1

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer:

its a and d

Step-by-step explanation:

Answer:

Step-by-step explanation:

volume = 696.56 in3

volume = 22,824.77 ft3

volume = 60,074.09 yd3

 its all in order hope this helps :)

Answer: I think it’s D is

Step-by-step explanation:I put it in Desmos and it didn’t show the same answer as A. B. or C.

The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.

To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:

\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)

Where:

a= 44cm

height= 44²-22²= 38.1cm

Area= 44²+ 2(44) × √44²/4 + 38.1²

= 1936+88 × √ 484+1452

= 2024× √1936

= 5807.61 cm².

Therefore the closest estimate to the final answer would be 5289.25 cm squared

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The given statement for b is a positive real number and m and n are positive integers, is true.

An integer is a number with no decimal or fractional part, and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 2, -8...

Given that, b is a real number and m and n are positive integers.

According to the above information, the calculation is as follows:

\(b^\frac{m}{n} = \sqrt[n]{b^m} = (\sqrt[n]{b} )^m\)

Hence, the statement is true.

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The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.

In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.

So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.

288/32=144/16=72/8=9

Hope it helps you

Answer:

9

Step-by-step explanation:

288/320 = 9/1

9/1 = 9

Answer:

Divide by 30.48: It would be 0.0656168 feet.

Step-by-step explanation:

Answer:

0.0656

Step-by-step explanation:

2.54 cm = 1 in

12 in = 1 ft

2.54 * 12 = 30.48

2/30.48 = 0.0656167979

Answer:

14 hours

Step-by-step explanation:

35 miles per 1 hour

500 miles per x?

cross multiply

500 miles = 14.28 hours

35miles

Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.

To find the Z-score corresponding to a particular value in a normal distribution, we use the formula:

Z = (x - μ) / σ

where x is the value of interest, μ is the mean, and σ is the standard deviation.

Part 1 of 2: For the oldest senator of age 85:

Z = (x - μ) / σ = (85 - 56.5) / 12.5 ≈ 2.28

Rounding to two decimal places, the Z-score corresponding to the oldest senator of age 85 is 2.28.

Part 2 of 2: For the youngest senator of age 39:

Z = (x - μ) / σ = (39 - 56.5) / 12.5 ≈ -1.4

Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.

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A written history ​means the writing of history, such as the writing of history based on the critical examination of sources which is also known as historiography.

Also known as recorded history describes the historical events that have been recorded in a written form or other documented communication which are subsequently evaluated by historians using the historical method.

Historiography also includes the theory and history of historical writing. Modern historians strive to reconstruct a record of human activities and gain a deeper understanding of them.

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Answer:

The distance between these two points with coordinates (-1, -4) and (-9, -8) is 8.94 unites

The statement that describes the distribution based on the given information is:

A) The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 98 messages.

The graph shows a normal distribution, as indicated by the shape of the curve. The highest point of the curve (the peak) is at 128, which represents the mean of the distribution.

The standard deviation measures the spread of the data, and based on the information given, it is 98. Therefore, option A accurately describes the distribution.

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