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2 years ago

HELPPPPPPP PLEASEEEEE !!!!

Mathematics

1 answer:

antiseptic1488 [7]2 years ago

3 0

Answer:

Step-by-step explanation:

We know that all lengths in a rhombus are equal so we make the 2 equations equal to each other, then solve for x:

$4x-6=5x-10$

$5x-4x=10-6$

$x=4$

x=4

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A private school opened in 2005 with an initial enrollment of 85 students. The enrollment has increased by an average of 18 stud

mafiozo [28]

1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.

f(t) = 85 + 18t ⇒ y = 85 + 18x
g(t) = 95 + 15t ⇒ y = 95 + 15x

y = y
85 + 18x = 95 + 15x
18x - 15x = 95 - 85
3x = 10
x = 10/3
x = 3 1/3

y = 85 +18(10/3) = 85 + 180/3 = 85 + 60 = 145
y = 95 + 15(10/3) = 95 + 150/3 = 95 + 50 = 145

x = 10/3 or 3 1/3
y = 145

4 0

3 years ago

The position of an object along a vertical line is given by s(t) = −t3 + 3t2 + 7t + 4, where s is measured in feet and t is meas

saw5 [17]

Answer:

The maximum velocity of the object in the time interval [0, 4] is 10 ft/s.

Step-by-step explanation:

Given : The position of an object along a vertical line is given by $s(t) = -t^3+3t^2+7t +4$ , where s is measured in feet and t is measured in seconds.

To find : What is the maximum velocity of the object in the time interval [0, 4]?

Solution :

The velocity is rate of change of distance w.r.t time.

Distance in terms of t is given by,

$s(t) = -t^3+3t^2+7t +4$

Derivate w.r.t. time,

$v(t)=s'(t) = -3t^2+6t+7$

It is a quadratic function so its maximum is at vertex of the function.

The x point of the function is given by,

$x=-\frac{b}{2a}$

Where, a=-3, b=6 and c=7

$t=-\frac{6}{2(-3)}$

$t=-\frac{6}{-6}$

$t=1$

As 1 lie between interval [0,4]

Substitute t=1 in the function,

$v(t)= -3(1)^2+6(1)+7$

$v(t)= -3+6+7$

$v(1)=10$

Th maximum velocity is 10 ft/s.

Therefore, the maximum velocity of the object in the time interval [0, 4] is 10 ft/s.

8 0

2 years ago

Read 2 more answers

Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. A 6% tax is added by the waitress. If Mrs. Rodriguez wants to l

Elis [28]

Answer:

30.53

Step-by-step explanation:

24 x 1.06 = 24.44 (6% tax added to 24)

24.44 x 1.20 = 30.53 (20% tip added on top)

6 0

3 years ago

Read 2 more answers

Choose the mixed number that has not been reduced to simplest form. 4 2/5, 5 5/6, 5 7/12, 7 14/18

ANEK [815]

7 14/18 ...this is the answer

(simplest form should be 7 7/9)

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3 years ago

40 liters is equal to

Julli [10]

Really it depends on what your trying to match it too

But it can be equal to
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~169.07 cups
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8 0

3 years ago