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3 years ago

What is the value of X

Mathematics

2 answers:

snow_lady [41]3 years ago

4 0

Answer:

Step-by-step explanation:

OleMash [197]3 years ago

3 0

X-2= 4(2)
x-2= 8
x= 10

I think—

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A ball is kicked 4 feet above the ground with an initial vertical velocity of 55 feet per second. The function h(t)=-16t^2+55t+4

Shalnov [3]

Answer:

Time in seconds when the ball is 4 feet above the ground is:

t= 0.6 and 2.9.

6 0

3 years ago

What is the exact solution to the equation 4^5x=3^(x-2)<br> list the steps to get the answer

scoray [572]

Answer: x = -0.377

Step-by-step explanation:

We have the equation:

4^(5*x) = 3^(x - 2)

Now we can use the fact that:

Ln(A^x) = x*Ln(A)

Then we can apply Ln(.) to both sides of the equation to get:

Ln(4^(5*x)) = Ln(3^(x - 2))

(5*x)*Ln(4) = (x - 2)*Ln(3)

(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)

x*(5*Ln(4) - Ln(3)) = -2*Ln(3)

x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377

6 0

3 years ago

(Question Is In The Picture, Kinda Bad)

11111nata11111 [884]

Answer:

72 cupcakes

Step-by-step explanation:

Morgan can make 4 cupcakes with one cup of flour. She has 18 cups of flour and suppose she can make x cupcakes, then

1 cup of flour - 4 cupcakes

18 cups of flour - x cupcakes

Write a proportion:

$\dfrac{1}{18}=\dfrac{4}{x}$

Cross multiply:

$1\cdot x=18\cdot 4\\ \\x=72\ cupcakes$

5 0

3 years ago

A hat is marked down 45% and its new price is $69. What was the original price rounded to the nearest cent?

Alex Ar [27]

Answer:

$106.95

Step-by-step explanation:

45% = 0.45

1.00 - 0.45 = 0.55

$69 x 0.55 = 37.95

$69 + 37.95 = $106.95

7 0

3 years ago

A water storage tank has the shape of a cylinder with diameter 14 ft. It is mounted so that the circular cross-sections are vert

andrezito [222]

Answer:

percentage of the total capacity is 75.6%

Step-by-step explanation:

Hello! To solve this problem we follow the following steps

1. draw the complete scheme of the problem (see attached image)

2. To solve this problem we must find the area of the circular sector using the following equation.(c in the second attached image)

$A=\frac{R^2}{2} (\alpha -sin\alpha )$

$\alpha =2arccos(\frac{d}{R})$

3. observing the attached images we replace the values in the equations and find the area of the circular sector, remember that you must transform the angle to radians

$\alpha =2arccos(\frac{5}{7})=88.83$

$A=\frac{R^2}{2} (\alpha -sin\alpha )\\A=\frac{7^2}{2} (88.83-sen88.83)*\frac{\pi rad}{180} =37.57ft^2$

4.we calculate the area of the total circle (At), then subtract the area of the circular sector (Ac) to find the area occupied by water (Aw)

$At=\frac{\pi }{4} (14ft)^2=153.93ft^2$

Aw=At-Ac=153.93-37.57=116.36ft^2

5.Finally, we calculate the percentage that represents the water in the tank by dividing the area of the water over the total area of the tank

$\frac{116.36}{153.93} *100=75.6$

percentage of the total capacity is 75.6%

3 0

3 years ago