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4 years ago

15

A blank is a larger unit of capacity then a quart what is the blank?

1 answer:

jeka944 years ago

6 0

Gallon is the answer it goes from pint , quart , gallon from small to big

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For the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled b

dmitriy555 [2]

Answer:

2019.

Step-by-step explanation:

We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by $H = 1,500e^{0.053t}$ where t is the number of years past 2000.

To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute $H=4,000$ in our given formula and solve for t as:

$4,000= 1,500e^{0.053t}$

$\frac{4,000}{1,500}=\frac{ 1,500e^{0.053t}}{1,500}$

$\frac{8}{3}=e^{0.053t}$

$e^{0.053t}=\frac{8}{3}$

Take natural log of both sides:

$\text{ln}(e^{0.053t})=\text{ln}(\frac{8}{3})$

$0.053t\cdot \text{ln}(e)=\text{ln}(\frac{8}{3})$

$0.053t\cdot (1)=0.9808292530117262$

$\frac{0.053t}{0.053}=\frac{0.9808292530117262}{0.053}$

$t=18.506212320$

So in the 18.5 years after 2000 the expenditure will reach 4 trillion.

$2000+18.5=2018.5$

Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.

7 0

4 years ago

What is the sum of the arithmetic series? ∑[i=1,15,Fn=5i-1]

Helen [10]

$\bf \sum\limits_{i=1}^{15}\ 5i-1\implies 5\sum\limits_{i=1}^{15}\ i-\sum\limits_{i=1}^{15}\ 1\implies 5\left[ \cfrac{15(15+1)}{2} \right]-(15\cdot 1)
\\\\\\
5\cdot (15\cdot 8)-15\implies 585$

8 0

3 years ago

How many 3 3/4 foot pieces ribbon can be cut from a pieces of ribbon that is 36 feet long.

lara [203]

Answer:

$9\frac{3}{5}$

Step-by-step explanation:

3 3/4 = 15/4

$\frac{36}{1}$ ÷ $\frac{15}{4}=$

$\frac{36}{1} *\frac{4}{15}=$

$\frac{12}{1} *\frac{4}{5}=$

$=\frac{48}{5}$

$=9\frac{3}{5}$

Hope this helps

5 0

3 years ago

I have 30 ones, 82 thousand, 60tens and 100 hundreds

Neporo4naja [7]

That creates the number 82,190

6 0

3 years ago

Help anyone can help me do this question 3,I will mark brainlest.

malfutka [58]

Answer:

see explanation

Step-by-step explanation:

Calculate the slopes between pairs of the 3 points using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 9, 3) and (x₂, y₂ ) = (- 3, 9)

m = $\frac{9-3}{-3-(-9)}$ = $\frac{6}{-3+9}$ = $\frac{6}{6}$ = 1

Repeat with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (- 3, 9)

m = $\frac{9-1}{-3-5}$ = $\frac{8}{-8}$ = - 1

If lines are perpendicular then the product of their slopes = - 1 , then

1 × - 1 = -1

Thus there is a right angle between the 2 lines

Then triangle is right- angled

8 0

3 years ago