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Lostsunrise [7]
3 years ago
10

What is the value of x? 68 4x + 12 17 15 32 8

Mathematics
1 answer:
Alex Ar [27]3 years ago
7 0

the value is 84

Step-by-step explanation

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In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equati
Novay_Z [31]

Answer:

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

Step-by-step explanation:

we have

h=-16t^2+55t+4

This is a vertical parabola open downward

The vertex represent a maximum

where

h is the height of the bird

t is the amount of time, in seconds, the bird had been in the air

For h=40 ft

substitute in the quadratic equation

40=-16t^2+55t+4

-16t^2+55t+4-40=0

-16t^2+55t-36=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^2+55t-36=0

so

a=-16\\b=55\\c=-36

substitute in the formula

x=\frac{-55\pm\sqrt{55^{2}-4(-16)(-36)}} {2(-16)}

x=\frac{-55\pm\sqrt{721}} {-32}

x=\frac{-55+\sqrt{721}} {-32}=0.88\ sec

x=\frac{-55-\sqrt{721}} {-32}=2.56\ sec

therefore

The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time

3 0
3 years ago
find the value of x need help its been years since i practice or solved problems like this and with steps plz thanks in advance
Alex17521 [72]
All 3 triangle angles always add up to 180 degrees.
Angle to the left of 140 degrees = 40 degrees
Angle x = 180 -110 -40
Angle x = 30 degrees


5 0
3 years ago
I NEED HELP ASAP 6th GRD WORK HELPPP
tatuchka [14]

Answer:

28cm

Step-by-step explanation:

A=a+b

2h=4+10

2·4=  28cm

3 0
3 years ago
What is 5x-9+2-4=9.4
Dominik [7]

Answer:

x=5.1

Step-by-step explanation:

5x-9+2-4=9.4

5x=9.4+4-2+9

5x=20.4

x=5.1

4 0
3 years ago
A random sample is made of 256 middle managers concerning their annual incomes. The sample mean is computed to be $35,420. If th
ziro4ka [17]

Answer: a. $128.125

Step-by-step explanation:

The standard error of the mean is given by :

SE=\dfrac{\sigma}{\sqrt{n}} , where \sigma = population standard deviation , n= sample size.

Given: \sigma=\$2,050

n= 256

Then, the standard error of the mean:-

SE=\dfrac{2050}{\sqrt{256}}\\\\=\dfrac{2050}{16}=\$128.125

Hence, option a. is correct.

3 0
3 years ago
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