Answer:
600 and 3
Hope this helps:)
The number of hospitals in a certain country has been declining for many years. In 2014, there were 5,727 hospitals, but, in 2017, there were only 5,571. Assuming this trend is linear, write an equation for the number of hospitals H in the this country t years since 2000.
H=
Answer:
H = -52t + 6455
Step-by-step explanation:
2014 is 14 years since 2000. That gives you the point (14, 5727).
2017 is 17 years since 2000. That gives you the point (17, 5571).
Since we have two points in the line, we can find the equation of the line.
y = mx + b
m = slope = (difference in y)/(difference in x)
m = (5571 - 5727)/(17 - 14) = -156/3 = -52
y = -52x + b
Now we use one of the points for x and y, and we solve for b.
5727 = -52(14) + b
b = 6455
The equation is
y = -52x + 6455
Using H and t, we have
H = -52t + 6455
The relationship between the number of hospitals and the years, is a linear function.
The equation for the number of hospitals is: [tex]H = -52t + 6455[/tex]
Let
[tex]t \to[/tex] years since 2000
[tex]H \to[/tex] number of hospitals since 2000
So, we have:
[tex](t_1,H_1) = (14,5727)[/tex] ---- 2014
[tex](t_2,H_2) = (17,5571)[/tex]
Calculate the slope (m)
[tex]m = \frac{H_2 - H_1}{t_2 - t_1}[/tex]
This gives:
[tex]m = \frac{5571 - 5727}{17-14}[/tex]
[tex]m = \frac{-156}{3}[/tex]
[tex]m = -52[/tex]
The linear equation is then calculated using:
[tex]H = m(t - t_1) + H_1[/tex]
So, we have:
[tex]H = -52(t - 14) + 5727[/tex]
[tex]H = -52t + 728 + 5727[/tex]
[tex]H = -52t + 6455[/tex]
Hence, the equation H is: [tex]H = -52t + 6455[/tex]
Read more about linear equations at:
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Using the order of Operations, find the soultion. Evaluate the Expression 17 + 32 - 5 x 4
Answer:
19
Step-by-step explanation:
49 - 20
19
hope it helps u
Answer: 29
Explanation: PEMDAS is
P=Parentesis
E=Exponents
M=Multiplication
D=Division
A=Addition
S=Subtraction
That's the oder of operations then it's -5×4=-20 and then 17+32=49 and 49-20=29
Find the missing base
Are 2(x - 3) + 1 and 2x + 6 equivalent expressions
Answer:
No.
Step-by-step explanation:
2(x-3) + 1 = 2x - 6 + 1 = 2x - 5
2x + 6 ≠ 2x -5, so no, they aren't equivalent.
The expression 2(x - 3) + 1 and 2x + 6 are not Equivalent.
What is Equivalent Expression?Equivalent expressions are expressions that perform the same function notwithstanding their appearance. If two algebraic expressions are equivalent, they have the same value when the same value(s) for the variable are used (s).
We have two expressions to compare 2(x- 3) + 1 and 2x +6 .
Now, simplifying the first expression as
= 2(x -3) + 1
= 2x - 6 +1
= 2x - 5
and, the second expression is 2x + 6.
Thus, both of expression are not Equivalent.
Learn more about Equivalent Expression here:
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Who is good at accounting
Please answer
Answer:
I'm
Step-by-step explanation:
does this question make any sense ?
Barb makes 2.5 pounds
of mashed potatoes to
feed 15 people. How
much will she need to
make to feed 50
people?
PLZ help me with this question
Answer:
I believe it's A and D.
If I helped you're welcome. If I didn't I'm sorry.
Answer:
A and D
Step-by-step explanation:
im not too good on fractions but hopefully its right
find the sum f(x)=׳/3+ײ/2+× and g(×)=׳/2+ײ/3+×/4
Answer:
(fog) (x) = 2(3x + 2) - 1 = 6x + 4 - 1 = 6x + 3 = 3(2x + 1)
Step-by-step explanation:
If f(x) = 2x - 1 and g(x) =3x + 2then find (fog) (x)
Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex] x = \frac{2*\sqrt{3}}{3} [/tex]
Step-by-step explanation:
Reference angle = 30°
Opposite side = x
Adjacent side = 2
Apply the tan trigonometric function, thus:
[tex] tan (30) = \frac{opp}{adj} [/tex]
[tex] tan (30) = \frac{x}{2} [/tex]
[tex] 2 * tan (30) = x [/tex]
[tex] 2 * \frac{1}{sqrt{3}} = x [/tex] (tan 30 = 1/√3)
[tex] \frac{2}{sqrt{3}} = x [/tex]
Rationalize
[tex] \frac{2* \sqrt{3}}{sqrt{3} * \sqrt{3}} = x [/tex]
[tex] \frac{2*\sqrt{3}}{3} = x [/tex]
Ken worked 20 hours and earned nearly
a) $200.
b) $2,000.
c) $20.
Answer:
Multiply how much Ken gets paid by 20.
He gets paid $10per hour to make a
He gets paid $100per hour to make b
He gets paid $1per hour to make c
good luck, i hope this helps :)
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height
Answer:
303.95 m^3
Step-by-step explanation:
Volume = πr2h
r= 4.4
h = 5
= 3.14 × 4.4^2 × 5
= 3.14 × 19.36 × 5
= 303.95
Hence the volume is 303.95 m^3
Question :-
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid that has a radius of 4.4 m and a height of 5 m.Answer :-
The volume of the composite solid is 303.952 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4.4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 4.4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4.4 \: m)^2(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(19.36 \:m^2)(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (60.7904 \:m^2)(5 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 303.952 \: m^3}[/tex]
Therefore :-
The volume of the composite solid is 303.952 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
Have a great day! <33
What mistake did she make?
Step-by-step explanation:
According to the pythagrean equation, it should be
[tex]AC^2 = AB^2 + BC^2\\[/tex]
8² = 6² + BC²
64 = 36 + BC²
BC² = 28
BC = ✓28 = 5.29
Help&EXPLAIN
=============
Answer:
133
Step-by-step explanation:
No: of figures = 3
Fig 1 = l x b = 12 x 6 = 72
Fig 2 = l x b = 13 x 5 = 45
Fig 3 = s xs = 4x 4 = 16
Fig area= fig 1+ fig 2+fig 3 = 72+45+16 = 133
Markup & Markdown
In the questions below, you will be ask about situations involving markups and
markdowns. Anytime your answer deals with money, round to the nearest hundredths place and
include proper unit labels. Be sure to show all of your work for each problem.
1. The managers at the hunting store usually determine their prices by using a markup of 11
percent. If they purchased camo pants for $45 each, what will be the price for their customers?
2. The fishing store manager buys flies from a wholesale company for $2.50 apiece. If he prices
each fly for the customers at $3.75, what is the markup percentage?
0.45+100x 11=4.95+45=49.95
50-1008 2.50 = 1.25=50%,
3. The pet store managers purchase dog food from a wholesale company for $3.75 a bag. If
they sell the dog food to the customers for $5.00 a bag, what is the markup percentage they are
using?
Answer:
$49.95 ; 50% ; 33.33%
Step-by-step explanation:
1.)
Markup % = 11%
Purchase price = $45
Selling price will be :
(100 + 11)% * $45
1.11 * $45 = $49.95
2.)
Purchase price = $2.50
Selling price = $3.75
Markup % :
Profit / purchase price * 100%
[(3.75 - 2.50) / 2.50)] * 100%
1.25 / 2.50 * 100%
0.5 * 100% = 50%
3.)
Purchase price = $3.75
Selling price = $5.00
Markup % :
Profit / purchase price * 100%
[(5.00 - 3.75) / 3.75)] * 100%
1.25 / 3.75 * 100%
0.3333 * 100% = 33.33%
Please help me please !
Answer:
A) (a+2)(a-2)
Step-by-step explanation:
The answer is A.
2. Roman's allowance a week is P250.75. If he will save p50.00 and
equally divide the rest into 5, how much will he spend a day?
Answer:
50.15
Step-by-step explanation:
250.75-50=200.75
200.75/5=50.15
en una fiesta de disfraces dos quintos de los invitados van disfrazados de superhéroes un quinto de animales y el resto de zombis. si hay 180 invitados ¿cuantos hay disfrazados de cada cosa?
solo un quinto que sería 90 disfrazaos
find the mean of the distribution
Answer:
yyy
Step-by-step explanation:
Answer:Canst see
Step-by-step explanation:
sorry my guy
the sum of a number and its multiplicative inverse is 5 times the number
Answer:
Holii me ayudas a ganar plis
I need help please it will mean a lot
Answer:
The answer is B (2).
Step-by-step explanation:
Answer:
2
you replace the w with 30
30/6=5
then you subtract 3
5-3=2
9.3% 1034 What is in scientific notation? 3.1 x 10"
Answer:
Please be more specific?
Step-by-step explanation:
I don't know what you are asking and the way you format the question is quite confusing.
The table shows values for functions f(x) and g(x)
What is the solution to f(x)=g(x) ?
Select each correct answer.
A. −3
B. −2
C. −1
D. 0
E. 1
F. 2
G. 3
Answer:
E) 1
Step-by-step explanation:
this is when both functions have the same value
Explain why Roy’s diagram is not correct.
Answer:
Looks like he scaled it 2 1/2, not 1 1/2
Step-by-step explanation:
proportionally he went from CR of 4 units to CZ of 10 units. That's a 2 1/2 scale increase, not 1 1/2.
Rami bought a house on 1st January 2015. In2015 the house increased in value by 15%. In 2016 the house decreased in value by 8%. On 1st January 2017 the value of the house was $687700. What was the value of the house on 1st January 2015
Answer:
The value of the house on 1st January 2015 was of $650,000.
Step-by-step explanation:
Decimal multipliers:
For a increase of a%, the decimal multiplier is given by [tex]\frac{100+a}{100}[/tex]
For a decrease of a%, the decimal multiplier is given by [tex]\frac{100-a}{100}[/tex]
Rami bought a house on 1st January 2015.
For a value of x.
In 2015 the house increased in value by 15%.
This means that x is multiplied by [tex]\frac{100+15}{100} = \frac{115}{100} = 1.15[/tex]
In 2016 the house decreased in value by 8%.
This means that 1.15 times x is multiplied by [tex]\frac{100-8}{100} = \frac{92}{100} = 0.92[/tex]
On 1st January 2017 the value of the house was $687700.
The value of these multiplications is 687700.
What was the value of the house on 1st January 2015?
This is x, so:
[tex]x*1.15*0.92 = 687700[/tex]
[tex]x = \frac{687700}{1.15*0.92}[/tex]
[tex]x = 650000[/tex]
The value of the house on 1st January 2015 was of $650,000.
The first side of a triangle is four inches longer than twice the
second side. The third side of the triangle is 5 inches shorter than
the sum of the other two sides. The perimeter is 72 inches. Find
the lengths of the three sides.
Answer:
1st Side: 27 inches, 2nd Side: 23/2, 3rd Side: 67/2
Step-by-step explanation:
Let's solve your problem step by step:
First side should be: 2x+4
Because 2 times the second side =, and 4 longer than that.
Second side should be: x
This is the base of the equation, since all the numbers depend on "x"
Third side should be: (3x+4)-5
Because x + x+4, and the third side is 5 shorter..
We add all and we get 72.
Solve for x.
x=23/2
Now, we can solve for other sides, by doubling it and adding 4.
This is answer is correct, I tried it. :)
Solve the exponential equation: 4x – 2 = 1∕4
Question 9 options:
A)
x = 1
B)
x = –1
C)
x = –2
D)
x = 2
4
Step-by-step explanation:
I do not know but maybe 1/4
D
+
32°
41°
A
C
B.
O
mZB =" [?]
Answer:
what is the question? where is the diagram?
pls help the question is in the picture
The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer in simplest form.
The scale factor of the triangles will be 17 / 74 or 0.2297.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
The triangle on the right is a scaled copy of the triangle on the left.
Then the scale factor of the triangles will be
⇒ 17 / 74
⇒ 0.2297
More about the dilation link is given below.
https://brainly.com/question/2856466
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HELP please!!!!!!!!!!