5 times the sun of a number and 1

The values of a and b in the equations are 100 each

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =

The given equations are

a. 5x²/2 when x = 10

By substitution, a= 5(10)²/2

This implies that a=( 5 * 100)/2

a= 200/2 = 100

b = [2x²(x-5)]/10x

Substituting x=10 in the equation we have

b = 2*10²(10-5)]/[10(10)]

200(5)/100

b= 10000/100

Therefore b = 100

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The three extra squares that should be shaded to have a pattern with 4 lines of symmetry and a rotational symmetry of order 4 are E, H, N.

It is required for the new shape to have four lines of symmetry, which means that if the new shape is divided we can obtain four identical lines; moreover, it should have a rotational symmetry of order 4, which means that if we rotate the shape it will coincide with the original shape four times. Based on this, the squares that should be shaded are E, H, N.

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Answer:

\( {f}^{ - 1} (x) = \frac{1}{4} x\) (last/fourth option)

Step-by-step explanation:

\(f(x) = 4x\)

\(y = 4x\)

\(x = 4y\)

\(4y = x\)

\( \boxed{\green{{f}^{ - 1} (x) = \frac{1}{4} x}}\)

When an inequality is multiplied or divided by a negative number, the inequality sign will flip, meaning it will change its direction. For example, if you have a > b and you multiply or divide both sides by a negative number, the inequality will become a < b. This is because the relationship between the values reverses when multiplied or divided by a negative number.

Explanation:

When an inequality is multiplied or divided by a negative number, the direction of the inequality sign is flipped. This is because multiplication or division by a negative number, results in a reversal of the order of the numbers on the number line.

To see why this happens, consider the following example:

Suppose we have the inequality x < 5. If we multiply both sides of this inequality by -1, we get -x > -5. Notice that we have flipped the inequality sign from "<" to ">". This is because multiplying by -1 changes the sign of x to its opposite, and also changes the sign of 5 to its opposite, resulting in a reversal of the order of the numbers on the number line.

Similarly, if we divide both sides of the inequality x > 3 by -2, we get (-1/2)x < (-3/2). Here, we have again flipped the inequality sign from ">" to "<". This is because dividing by a negative number also changes the order of the numbers on the number line.

In general, if we have an inequality of the form a < b or a > b, where a and b are real numbers, and we multiply or divide both sides by a negative number, we obtain:

If we multiply by a negative number, the inequality sign is flipped. For example, if a < b and c < 0, then ac > bc.

If we divide by a negative number, the inequality sign is also flipped. For example, if a > b and c < 0, then a/c < b/c.

Therefore, it is important to be mindful of the signs of the numbers involved when performing operations on inequalities. If we multiply or divide by a negative number, we must flip the direction of the inequality sign accordingly.

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Answer:

A=πr2

Step-by-step explanation:

Answer:

well you did not give diameter or radius but the way to solve is

Step-by-step explanation:

3.14*R*R=Area

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Answer:

He got 32 candy, he give each person , 3,50. or give only tree each person. and he live 8 candy.

The derivative of F(x) matches the original function f(x), confirming that (9/7) * t^(7/2) + C is the correct antiderivative.To find the most general antiderivative of the function f(x) = 9t * t^2 * √t, we integrate each term separately.

∫9t * t^2 * √t dt

Using the properties of exponents and the power rule of integration, we can simplify the integral step by step.

∫9t^(5/2) dt

Applying the power rule of integration, we add 1 to the exponent and divide by the new exponent:

= (9/(5/2 + 1)) * t^(5/2 + 1) + C

Simplifying:

= (9/7) * t^(7/2) + C

Therefore, the most general antiderivative of f(x) = 9t * t^2 * √t is F(x) = (9/7) * t^(7/2) + C, where C is the constant of integration.

To verify this result, we can differentiate F(x) and check if it matches the original function f(x):

d/dt[(9/7) * t^(7/2) + C] = (9/7) * (7/2) * t^(7/2 - 1) = 9t * t^2 * √t

As we can see, the derivative the derivative of F(x) matches the original function f(x), confirming that (9/7) * t^(7/2) + C is the correct antiderivative

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Using the concept of percentage, the percentage increase in the water surge is 91.6%

Percentage is a way of representing a number or value as a fraction of 100. It is often represented using the percent sign, “%”. For example, 45% (45 percent) is equal to 45/100, or 0.45.

Percentage increase is the increase in an amount expressed as a percentage of the original amount. For example, if the original amount is 10 and the increased amount is 12, the percentage increase is 20%.

In this problem, the water surge rise from 3 feet to 5 3/4 feet.

The percentage increase in the water  surge can be calculated as;

Percentage increase = [(5.75 - 3) / 3] * 100

Percentage increase = (2.75 / 3) * 100

Percentage increase = 91.6%

The percentage increase is 91.6%

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Answer:

B. Symmetric

Step-by-step explanation:

Answer: 167?

Step-by-step explanation:

Answer:

0.09

0.16

0.35

0.65

0.19

0.56

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

you have to move the decimal point of 0.019 to the right once, making it greater

Answer:

11 bars

Step-by-step explanation:

Clara bought 11 chocolate bars. Let x be the number of chocolate bars Clara buys.

The cost of each chocolate bar is 63p, so the total cost of x chocolate bars is 63x pence.

After buying the chocolate bars, Clara has 7p left over.

Now we can write the equation:

Total money spent on chocolate bars + Money left over = Total money Clara has initially

63x + 7 = 700 (Since £7 is equivalent to 700p)

Now, let's solve for x:

63x = 700 - 7

63x = 693

x = 693 / 63

x = 11

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For this expression,a=15,b=7 and c=4

Good luck on your assignment

Answer:

I think it's 2-3, but I'm not sure.

Step-by-step explanation:

Sorry if I get it wrong

Answer:

i think it’s -3 i’m not sure tho

Step-by-step explanation:

answer

x=-6

Step-by-step explanation:

Answer:

\(5\sqrt{7} \)

Step-by-step explanation:

\(\frac{30\sqrt{14} }{6\sqrt{2} } \)

Cancel out 6 in both numerator and denominator.

\(\frac{5\sqrt{14} }{\sqrt{2} } \) Rationalize the denominator of \(\frac{5\sqrt{14} }{\sqrt{2} } \) by multiplying the numerator and denominator by \(\sqrt{2} \).

\(\frac{5\sqrt{14}\sqrt{2} }{(\sqrt{2})^{2} } \)

The square of  \(\sqrt{2} \) is 2

Factor 14=2 × 7. Rewrite the square root of the product \(\sqrt{2x7} \) as the product of square roots \(\sqrt{2}\sqrt{7} \).

\(\frac{5\sqrt{2}\sqrt{7}\sqrt{2} }{2} \)

Multiply \(\sqrt{2} \) and \(\sqrt{2} \) to get 2.

\(\frac{5x2\sqrt{7} }{2} \)

Cancel out 2 and 2.

\(5\sqrt{7} \)

Hope it helps and have a great day! =D

Answer:

they need brainliest :)

The fraction of the volume of the larger cone occupied is 1/3.

Draw the cones. If the large cone has height H and radius R, the small cone has height h and radius r, so that

r/R = 1 - h/H

The ratio of the two volumes is v/V = r²h/R²H = (r/R)² h/H

if we maximize that ratio as a function of u = h/H, we get

f(u) = (1-u)² × u

= (u - 2u² + u³)

f'(u) = (1-4u+3u²)

= (h-1)(3h-1)

Clearly, when u=1, f(u) = 0 a minimum

when u = 1/3, f(h) = 4/9×1/3 = 4/27

so, h/H = 1/3 for max volume ratio.

Hence we get the required answer.

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Aid in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating helps to regulate body temperature.

Maintain a regular body temperature. Joints should be lubricated and cushioned. Safeguard your spinal cord and other delicate structures. Wastes can be eliminated by urine, sweat, and bowel motions. Dehydration can also cause a decrease in strength and stamina. It is the most common cause of heat exhaustion. At this point, you should be able to reverse dehydration by consuming extra fluids. Chronic dehydration might impair your kidney function and raise your risk of kidney stones. Water also helps with normal bowel function, muscular performance, and clean, young skin. Failure to drink enough water, on the other hand, can result in dehydration and negative symptoms such as weariness, headache, reduced immunity, and dry skin.

Here,

Assist in the elimination of metabolic byproducts, excess electrolytes (for example, salt and potassium), and urea, a waste product generated during the digestion of ingested protein. Sweating regulates body temperature.

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Yes, it is worth it and the expected profit for Andy is $7 per game

Given: Cost of the game = $2If Andy gets a number card (2-10), he wins nothing. For any face card (jack, queen, or king), he wins $3For any ace, he wins $5, and he wins an extra $20 if he draws the ace of clubs.

To calculate the expected gain, we use the formula:
E(X) = P1X1 + P2X2 + P3X3 + ………….+PnXn
Where E(X) is the expected value or expected gain, Pi is the probability of getting outcome Xi.

Let's find the expected gain for Andy. So, Andy wins nothing for number cards (2 to 10)

Thus, E(X) = P1X1 + P2X2 + P3X3 + ………….+PnXn= (36/52)*0 + (12/52)*3 + (4/52)*5 + (1/52)*(5 + 20)= (1/13)*(36*0 + 12*3 + 4*5 + 1*25)= (1/13)*(36 + 12*3 + 4*5 + 25)= (1/13)*(36 + 36 + 20 + 25)= (1/13)*117= $9

If we subtract the cost of the game, we get the expected profit, which is $7. Therefore, the expected profit for Andy is $7 per game.

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Given the following question:

x = point of intersection

Given the following graph there is only one point of intersection.

Your answer is option D.

Answer:  x=1

Step-by-step explanation: I took the test

Given:

The radius of the circle is r=2 mi.

To find the diameter of the circle:

The formula is,

Thus, the diameter of the circle is 4 mi.

Answer: 4mi

Step-by-step explanation:

diameter = 2 x radius

2x2 = 4

It is impossible to create an equation for a circle given exactly two points.

Let's consider the two basic equations of circle, i.e, the standard equation and general equation.

Now, Standard equation of circle with center (h, k) and radius r is represented as

(x−h)² +(y−k)² =r²

Note here we need values of three unknowns, h, k, r to get equation of a certain circle.

The other general equation of circle is of the form

x² + y² + 2gx + 2fy + c = 0

Again, values of three unknowns (g, f and c) are necessary for obtaining equation of a certain circle. So in both cases, values of three unknowns are required to have an equation of a distinct circle. In order to calculate, the values of these three unknowns, we must first require three conditions that would be produced by three equations. Solving those equations, allows us to construct the equation of circle. So if only two points are given, then these gives two equations with three unknowns. It would be impossible to get three distinct values from two equations. So, there is no possible distinct circle for two points.

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Answer:

the woodpecker was 7m above the ground

The height where the bird pecked is 7m above the ground.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A woodpecker pecked at a 17 m wooden pole until it cracked and the upper part fell with the top hitting the ground 10 m from the foot of the pole.

Therefore, If the length of the pole that fell down is 10m then the length of the remaining pole is,

= (17 - 10)m.

= 7m.

So, The bird pecked away where the pole had cracked is 7m.

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Answer:

D- Quotient C- Product A-Difference B-Sum

Step-by-step explanation:

Hope this helps