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:
https://brainly.com/question/11897796
Thirty-eight cities were researched to determine whether they had a professional sports team, a symphony, or a children's museum. of these cities, 21 had a professional sports team, 20 had a symphony, 17 had a children's museum, 14 had a professional sports team and a symphony, 10 had a professional sports team and a children's museum, 10 had a symphony and a children's museum, and 6 had all three activities. How many of the cities surveyed had only a professional sports team?
Answer:
3 of the cities surveyed had only a professional sports team.
Step-by-step explanation:
We solve this question treating these as Venn sets.
I am going to say that:
Set A: professional sports team.
Set B: Symphony.
Set C: Children's museum.
We start building from the intersection of these three.
6 had all three activities.
This means that [tex]A \cap B \cap C = 6[/tex]
10 had a symphony and a children's museum,
This means that:
[tex](B \cap C) + (A \cap B \cap C) = 10[/tex]
[tex](B \cap C) + 6 = 10[/tex]
[tex](B \cap C) = 4[/tex]
That is, 4 have only the symphony and children's museum, while 6 have all three.
10 had a professional sports team and a children's museum
[tex](A \cap C) + (A \cap B \cap C) = 10[/tex]
[tex](A \cap C) + 6 = 10[/tex]
[tex](A \cap C) = 4[/tex]
14 had a professional sports team and a symphony
[tex](A \cap B) + (A \cap B \cap C) = 14[/tex]
[tex](A \cap B) + 6 = 14[/tex]
[tex](A \cap B) = 8[/tex]
21 had a professional sports team
This means that:
[tex](A - B - C) + (A \cap B) + (A \cap C) + (A \cap B \cap C) = 21[/tex]
In which (A - B - C) represents the cities which had only a sports team. So
[tex](A - B - C) + 8 + 4 + 6 = 21[/tex]
[tex](A - B - C) = 3[/tex]
3 of the cities surveyed had only a professional sports team.
A spinner contains the numbers 1 through 50. What is the probability that the spinner will land on a number that is not a multiple of 7?
Give your answer in fraction form.
Answer:
the answer to the question is
Step-by-step explanation:
43/50
Answer: the answer is 43/50
Help
Don’t use for points or I’ll take it back
Answer:
68 degrees
Step-by-step explanation:
2 complementary angles make up a 90 degree angle.
90 degrees - 22 degrees = 68 degrees
wat is the sum of 13.75 and -11.25
Answer:
2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
use the keep change change rule
13.75 - keep
+ - change into minus
-11.25 - change into positive 11.25
4x-3y = 12 and 3x+2y =6
Answer:
x = 42/17
y = -12/17
Step-by-step explanation:
4x - 3y = 12
3x + 2y = 6
use the elimination method (definition at the bottom of the page)
multiply both sides of the equation 4x - 3y = 12 by 2
8x - 6y = 24
multiply both sides of the equation 3x + 2y = 6 by 3
9x + 6y = 18
now, add the two equations:
17x = 42
x = 42/17
now, plug this into the equation 3x + 2y = 6
126/17 + 2y = 6
2y = -24/17
y = -12/17
5 more than 10
A)5/10
B) 5-10
C) 10+ 5
D) 2*10
Answer:
A po
Step-by-step explanation:
sana paka tulong
nabmdafncjs
aahaqjapqna
a punch recipe calls for 3 liters ginger ale, 1.5 liters tropical fruit juice. and 500 milliliters pineapple juice. how much punch will the recipe make?
Answer
189
Step-by-step explanation:
just is
A question that requires the use of statistics is called a
Answer: A statistical question is a question that can be answered by collecting data that vary.
Step-by-step explanation: “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.
Answer:
Statistical Question?
Step-by-step explanation:
notacion cientifica 123000000
Answer:
puro puto✌✌✌✌
Answer:
1.23× 10 ^8
Step-by-step explanation:
mark brainliest
Yasmin took a survey of her classmates to determine the frequencies of different eye colors
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $8. On Saturday, Rob earned $56 babysitting. How much money did he save?
Answer:
$7
Step-by-step explanation:
Recognize our numbers, I always say
14, 8, 56
"For every $14, he saves 8."
14-6=8
"He earned $56 babysitting..."
What times eight can give us 56?
56 divided by 8=7
8x7=56
Hope this helps!
Can I get brainliest please?
Jeff wants to save $4000 to buy a used car. He has already saved $850. He plans to save an additional $150 each week. write and solve an equation to represent the number of weeks remaining w until he can afford the car.
Answer:
21 weeks
Step-by-step explanation:
150*21=3150
3150+850=4000
What is 56x92.2÷34x56
Plz help fast
Me give brainliest
Answer:
8504.09411765
Step-by-step explanation:
hope this helps!!!
Answer:
8504.09
Rounded to the nearest tenth is 8505
To the nearest 10th, find the measure of the missing side.
Answer:
[tex]x = 30.7[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find x
To find x, we make use of:
[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
In this case, it is:
[tex]cos(36) = \frac{x}{38}[/tex]
Multiply both sides by 38
[tex]38 * cos(36) = \frac{x}{38}*38[/tex]
[tex]38 * cos(36) = x[/tex]
[tex]38 * 0.8090= x[/tex]
[tex]30.742= x[/tex]
[tex]x = 30.742[/tex]
[tex]x = 30.7[/tex] -- approximated
HELLPPP PLSSS!! i need help help help
Answer:25.50
Step-by-step explanation:
Because .50 is in the hundreths, and it rounds up to that because it is above 5.
Bart uses 3/12 cup milk to make muffins. Write a fraction that is equivalent to 3/12 pls help out!
Answer:
1/4
Step-by-step explanation:
Which three side lengths best describe the triangle in the diagram?
Answer:
d. 6cm, 6cm, 6cm
Step-by-step explanation:
each one of the rulers is lined correctly and shows that it is 6 cm
You want to produce a scale drawing of your living room. Which is 24 ft by 27 ft. If you Use a scale of 2 inches.= 3ft what will be the dimensions of your scale drawing ?
A) 16in. By 18in.
B) 6in. By 18in
C) 6in. By 72 in
D) 16 in by 72 in
Step-by-step explanation:
mujhe nahin pata the following week and I will be a good time to time and money to pay for the first time in the following week and I will be a good time to time and money to pay for the first time in a while back and let me know if it was a great time in the pot with a new one and only a few of my favorite part in the blanks to the right now I am going to be able I am going out with you
Answer:
Step-by-step explanation:
A
Find the area of the following figure:
Answer:
138
Step-by-step explanation
Steve purchases 25 gallons of orange juice to set out for runners at a race. How many cups of orange juice did Steve purchase?
Answer:
400 cups of orange juice
Step-by-step explanation: there's 16 cups in a gallon so 16 times 25 is 400
Emily wrote these words on her fridge using magnetic letters. One of the letters falls off the door when it is closed. What is the DECIMAL probability that the letter is red? *
Answer:
ydlyuxukz
Step-by-step explanation:
We need a flower garden with a perimeter of 18 feet and an area of 18 square feet.what is the Length and width
Answer:
length is 6feet and width is 3 feet
Step-by-step explanation:
Area of the garden = LW
Perimeter of the garden = 2(L+W)
L is the length
W is the width
Given
Area = 18 square feet
Perimeter = 18feet
Substitute
18 = LW ... 1
18 = 2(L+W)
9 = L+W .... 2
From 2;
L = 9-W
Substitute into 1
18 = (9-W)W
18 = 9W-W²
W²-9W+18 = 0
W²-6W-3W+18 = 0
W(W-6)-3(W-6) = 0
W-3 = 0
W = 3 feet
Since L = 9-W
L = 9-3
L = 6feet
Hence the length is 6feet and width is 3 feet
You are making identical bagel platters using
40 plain bagels, 30 raisin bagels, and 24 blueberry
bagels. What is the greatest number of platters
that you can make if there are no leftover bagels?
PLEASE HELP ASAP!! I WILL MARK BRAINLIEST
You are designing a new
movie complex. There are
14 movie theaters and 3 exits
per theater. The food area has
9 exits. How many exits are
there altogether?
Answer:
51
Step-by-step explanation:
There are 14 movie theaters, and 3 exits each.
You can multiply 14 by 3 to get the number of exits in the movie theaters combined.
Next, the food area has 9, so you add 9 to the 42.
42 + 9 = 51.
Hope this helps!
Answer:
there are 51 exits
Step-by-step explanation:
c) 12 x 3 + 9 + (15 - 2) × 3 =
Answer:
Step-by-step explanation:
USE BOMDAS
do multiplication and brackets first
36+9+13X3
=45+39
=84
If you need to put tile on your kitchen floor, do you need to know the perimeter or the area of the kitchen?
Answer:
area
Step-by-step explanation:
Answer:
area
Step-by-step explanation:
To qualify to compete in the doggie high jump finals dogs must jump a certain hight in the semi finals. Maple jumped 2 5/8 inches below the qualifying hight but her friend pink made it to 1 5/6 inches over the qualifying height how much higher was pinks jump compared to maples
Answer: 8/30
Because I left the sink on ran away and left the room
What is the area of the composite figure?
Answer:
208
Step-by-step explanation:
16x13
I need help on this asap brainliest to first person
Triangle ABC is rotated 45° counterclockwise about vertex A to obtain triangle XYZ. If the m∠ABC is equal to 30°, what is the m∠XYZ?
a.15°
b.30°
c.45°
d.75°
Answer:
i think 30° gonna stay the same
Step-by-step explanation:
Answer:
30°
Step-by-step explanation:
XYZ has vertices X(3. -4), Y(6, 5), and Z(8, -2).find the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4
The coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Given that, XYZ has vertices X(3, -4), Y(6, 5), and Z(8, -2).
Scale factor = 4
Here, X(3, -4)→4(3, -4)→X'(12, -16)
Y(6, 5)→4(6, 5)→Y'(24, 20)
Z(8, -2)→4(8, -2)→Z'(32, -8)
Therefore, the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).
To learn more about the scale factor visit:
https://brainly.com/question/22312172.
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