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2 years ago

What’s the answer I’m confused

Mathematics

1 answer:

lions [1.4K]2 years ago

3 0

Answer:

7.98

Step-by-step explanation:

Hope this helps

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What is the prime factorization of 36

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Answer:

$2^{2} x 3^{2}$

Step-by-step explanation:

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2 years ago

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A hot air balloon holds 4,328 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic meter. How many kilogr

Oksi-84 [34.3K]

Answer: 3) 772.5 kg

Step-by-step explanation: That's what I got and I'm 100% sure that's the answer

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2 years ago

a caterpillar stated at point(-2.5 -5.5) on a coordinate plane.She crawled in a straight line through the origin to point (45,y)

iren [92.7K]

Answer:

Step-by-step explanation:

Since the caterpillar crawled through the origin, her movement can be described by a straight line equation modeled with the points (-2.5; -5.5) and (0; 0).

The slope of a linear equation is given by:

$m=\frac{y-y_0}{x-x_0}\\m=\frac{-5.5-0}{-2.5-0}\\m=2.2$

For x = 45, the value of y is:

$y= 2.2x\\y= 2.2*45\\y=99$

The value of the y-axis is 99.

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2 years ago

Find the zeros of y = x2 – 6x – 4 by completing the square.

katrin [286]

Answer:

The solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

Step-by-step explanation:

Given the function

$y\:=\:x^2\:-\:6x\:-\:4$

substitute y = 0 in the equation to determine the zeros

$0\:=\:x^2\:-\:6x\:-\:4$

Switch sides

$x^2-6x-4=0$

Add 4 to both sides

$x^2-6x-4+4=0+4$

Simplify

$x^2-6x=4$

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

$x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2$

$x^2-6x+\left(-3\right)^2=13$

Apply perfect square formula: (a-b)² = a²-2ab+b²

$\left(x-3\right)^2=13$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-3=\sqrt{13}$

Add 3 to both sides

$x-3+3=\sqrt{13}+3$

Simplify

$x=\sqrt{13}+3$

now solving

$x-3=-\sqrt{13}$

Add 3 to both sides

$x-3+3=-\sqrt{13}+3$

Simplify

$x=-\sqrt{13}+3$

Thus, the solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

4 0

2 years ago

Last month a museum received €21000 in donations.After taking off the cost of monthly bills,,the museum spent the remaining mone

Rainbow [258]

Answer:

$13,500.

Step-by-step explanation:

Let x represent money spent on monthly bills.

We have been given that last month a museum received €21000 in donations. The ratio of bills to donations was 5:14.

We will use proportions to solve our given problem.

$\frac{\text{Bills}}{\text{Donations}}=\frac{5}{14}$

$\frac{x}{21000}=\frac{5}{14}$

$\frac{x}{21000}*21000=\frac{5}{14}*21000$

$x=5*1500$

$x=7500$

Now, we will subtract $7500 from donations to find the amount spent on new exhibitions as:

$\$21,000-\$7500=\$13,500$

Therefore, they spent $13,500 on new exhibitions.

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2 years ago