What is the solution to -2(8x – 4) < 2x + 5?
0 x 12
0x< 7 /
O x>6
O x <6

Answer:

It's cot x :)

Step-by-step explanation:

I'm not really good at explaining,but I know that's the answer :))

Answer:

so first question is b)8/5p=c, explanation in comments and your second question is 25%explanation in comments!! Have a good day and hope this helped!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

The next number is 110

Answer:

Formulae can be searched for confirmation : compounding interest with regular payments

Step-by-step explanation:

Calculations do it by yourself

Answer:

clchjtdjgdtklgdlnajajhbshsjzsnnjdndmqjsnsn him

The fraction of height at which the collision occured is , y/y₀ = 1/2 + v₀²/(2 g y₀) .

For ball A

Given that the ball is dropped and its initial velocity is zero, the equation is

= - 2 g (y₀-y)

For ball B

v {B}^2 = v₀² - 2 g y

We swap out

2v {B}^2 = -2 g (y₀ -y)

g y0 + 2 g y = -v B2

v {B}^2 = v₀² - 2gy

It can be solved because it is a system of two equations with two unknowns. Let's add and multiply by -1.

0 = g y₀ + v₀² -2gy

Bypassing the height

y = (g yo plus v02) / 2g

y = yo / 2 + v₀² / 2g

In this exercise, we'll assume that the building's height and ball B's initial velocity are both known.

The percentage is

y/yo

= 1/2 + v₀²/(2gyo) (2gyo)

Velocity and speed describe how quickly or slowly an object is moving. We frequently encounter circumstances when we must determine which of two or more moving objects is going faster.

If the two are travelling on the same route in the same direction, it is simple to determine which is quicker.

It is challenging to identify who is moving the fastest when their motion is in the other direction.

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The total surface area of the pyramid is 109 square feet.

A pyramid is a geometric solid that has a polygonal base and triangular faces that meet at a common vertex, or apex. The shape of the base determines the type of pyramid, such as a square pyramid, triangular pyramid, or pentagonal pyramid.

The height of a pyramid is the perpendicular distance from the apex to the base. The slant height is the distance from the apex to the edge of the base, measured along the surface of one of the triangular faces.

Pyramids are three-dimensional shapes with properties such as surface area and volume. The surface area of a pyramid is the sum of the areas of its faces. The volume of a pyramid is given by the formula:

Volume = (1/3) × base area × height

where base area is the area of the polygonal base and height is the height of the pyramid.

To find the total surface area of the pyramid, we need to find the area of each of the five faces and then add them up.

Since the pyramid is a square pyramid, the base of the pyramid is a square with side length of 6 ft. The area of the base is:

Area of base = side length² = 6² = 36 sq ft

The four triangular faces of the pyramid are congruent isosceles triangles with base 6 ft and height 4 ft (the height of the pyramid). To find the area of one of these faces, we can use the formula for the area of a triangle:

Area of triangle = (base × height) / 2

Area of one triangular face = (6 × 4) / 2 = 12 sq ft

Since there are four triangular faces, the total area of the triangular faces is:

Total area of triangular faces = 4 × Area of one triangular face = 4 × 12 = 48 sq ft

Finally, we need to find the area of the square face that forms the top of the pyramid. The side length of this square face is the slant height of the pyramid, which we can find using the Pythagorean theorem:

slant height² = height² + (1/2 × base)²

slant height² = 4² + (1/2 × 6)² = 16 + 9 = 25

slant height = 5 ft

The area of the square face is:

Area of square face = side length² = 5² = 25 sq ft

Therefore, the total surface area of the pyramid is:

Total surface area = Area of base + Total area of triangular faces + Area of square face

Total surface area = 36 + 48 + 25

Total surface area = 109 sq ft

So, the total surface area of the pyramid is 109 square feet.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

Option A & B

Step-by-step explanation:

Total cost of the flat = Rs. 4.25 lakh

Amount already paid = Rs. 2.5 lakh

Remaining amount to be paid =

4.25 - 2.5 = 1.75 lakhs or 1,75,000

Mai travels abοut 4.2 feet per secοnd faster than Kiran.

Circumference is the distance arοund the οutside οf a circle. It is the length οf the bοundary that enclοses a circle. Tο find the circumference οf a circle, yοu can use the fοrmula C=2πr, where "C" represents the circumference, "π" is a mathematical cοnstant (apprοximately equal tο 3.14159), and "r" is the radius οf the circle (the distance frοm the center οf the circle tο its edge). Sο, the circumference οf a circle is directly prοpοrtiοnal tο its radius. This means that if yοu dοuble the radius οf a circle, its circumference will alsο dοuble.

The circumference οf Kiran's ring is:

C1 = 2πr1 = 2π(9 ft) ≈ 56.55 ft

The circumference οf Mai's ring is:

C2 = 2πr2 = 2π(r1 + 8 ft) = 2π(17 ft) ≈ 106.81 ft

Therefοre, Mai travels a distance οf 106.81 - 56.55 = 50.26 feet mοre than Kiran in οne rοtatiοn.

The time it takes fοr οne rοtatiοn is given as 12 secοnds. Therefοre, the speed οf Kiran in feet per secοnd is:

V1 = C1 / t = 56.55 ft / 12 s ≈ 4.71 ft/s

And the speed οf Mai in feet per secοnd is:

V2 = C2 / t = 106.81 ft / 12 s ≈ 8.90 ft/s

The difference in their speeds is:

V2 - V1 = 8.90 ft/s - 4.71 ft/s ≈ 4.2 ft/s

Therefοre, Mai travels abοut 4.2 feet per secοnd faster than Kiran.

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Answer:

X+4=Y

So lets look at the first one,

X=0

So 0+4=4

So Y=4

51 feet

height of boy = 6 ft

shadow of boy = 10 ft

let the height of flag pole = y

shadow of the pole = 85 ft

height of boy/shadow of boy = height of flag/ shadow of flag

cross multiply:

6(85) = y(10)

510 = 10y

DIvide both sides by 10:

510/10 = 10y/10

y = 51

Hence, the height of a flag pole that casts a shadow of 85 ft. long is 51 feet

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Answer:

the number is 65.

Step-by-step explanation:

n-16=49

n=65

Therefore, the number is 65.

Answer: 5 is the smaller number and 21 is the larger number

Step-by-step explanation: let’s have the smaller of the numbers equal x and the larger one equal y. Y = 3x + 6 their sum is 3x + 6 + x or 4x + 6. This sum minus 4 is 22 so the sum is 26. 26-6 = 4x so 4x = 20 and x = 5 so r = 15+ 6 which is 21.

The rate of change of the distance from the particle to the origin at this instant is 3 units per second.

The instantaneous rate of change is the rate of change at a particular instant.

A particle is moving along the curve

\(y= 4\sqrt{5x+11} .\)

The rate of change of y is given as:

dy / dx = 2

by differentiating both sides,

\(\dfrac{dy}{dx} = 4\dfrac{1}{2\sqrt{5x+11} } 5\dfrac{dx}{dt} \\\\\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\\)

From the question, we have:

(x, y) =  (5,24)

Substitute 5 for x and dy / dx = 2

\(\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\\\5= \dfrac{10}{\sqrt{5(5)+11} }\dfrac{dx}{dt}\\\\\\\sqrt{5(5)+11} = 2\dfrac{dx}{dt}\\\\\\\dfrac{dx}{dt} = 6/ 2 = 3\)

Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.

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Step-by-step explanation:

The limit of (sin(x)) / x as x approaches 0 is a well-known limit in calculus, known as the limit definition of the derivative of the sine function.

lim (x -> 0) (sin(x)) / x = 1

This limit can be proven using L'Hopital's rule or by considering the Taylor series expansion of the sine function about x = 0:

sin(x) = x - (x^3) / 6 + (x^5) / 120 + ...

As x approaches 0, the higher order terms in the Taylor series become arbitrarily small, and the expression (sin(x)) / x approaches 1. This shows that the limit of (sin(x)) / x as x approaches 0 is equal to 1.

Answer:

7/17

Step-by-step explanation: I hope this helps!

Answer:

21/51 simplified to lowest terms is 7/17.

Step-by-step explanation:

Find the GCD of numerator and denominator

Divide both the numerator and denominator by the GCD

21 ÷ 3  = 7

51 ÷ 3 = 17

Reduced fraction = 7/17

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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Step-by-step explanation:

(x-2)^2 + (y-9)^2   = r^2

this is of the form fora circle with center  h,k and radius r

(x-h)^2 + (y-k)^2 = r^2

for the equation given   center =   2, 9    and radius = r

Answer:

Seats: 180, 225, 315, 405

Rows: 4, 5, 7, 9

Step-by-step explanation:

225 divided by 5 is 45, if you multiply the number of rows by 45, then you will get the number of seats.

Answer:

lovely :)

Step-by-step explanation:

As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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Answer:

w = 1

Step-by-step explanation:

y = \(x^{4}\) + 4w²x³ - 11wx² - 30wx

if x = 3 , then y = 0

\(3^{4}\) + 4w²( 3 )³ - 11w( 3 )² - 30w( 3 ) = 0

108 w² - 99 w - 90w + 81 = 0 ........ (1)

(1) ÷ 9

12w² - 21w + 9 = 0 ⇒ \(w_{1}\) = 1 and \(w_{2}\) = \(\frac{3}{4}\)

"1" the value for w that match the graph.

w = 1

The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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Answer:

The answer is **FD = 1.52**.

Since triangle ABC ~ triangle DEF, we know that the ratio of their corresponding sides is equal. So, we have:

```

AB/DE = AC/DF = BC/EF

```

We are given that AB = 11, DE = 2.2, and AC = 7.6. Substituting these values into the first equation, we get:

```

11/2.2 = 7.6/DF

```

Cross multiplying, we get:

```

11 * DF = 2.2 * 7.6

```

```

DF = (2.2 * 7.6) / 11

```

```

DF = 1.52

```

Step-by-step explanation:

Answer:The median number of sales in weeks one and two are equal and The range of sales to in weeks one and two are equal

Step-by-step explanation:

Answer:it might be A

Answer:

43.5 in^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2) h  where b1 and b2 are the lengths of the bases and h is the height

We need to change 1 1/4 ft to inches = 1.25 (12) = 15 inches

A = 1/2 ( 15+14) 3

A = 1/2(29)*3

43.5 in^2