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
You go to a restaurant with 4 friends (total of 5 people), and decide to spli
the bill evenly. What portion of the bill are you responsible for?
wat is x in 1/3x - 11 = 5
=48
Multiply by 1
Add 1 1 11 11
to both sides of the equation
Answer:
The answer is 48
Step-by-step explanation:
First, add 11 to both sides
5 + 11 = 16
1/3x = 16
Next, times 16 by 3
16 times 3 = 48
Check!
1/3(48) = 16
16 - 11 = 5
X = 48
Find the missing number:
Answer:
20%
Step-by-step explanation:
Not sure if this is exactly correct, but let's say we start with 1 unit. If it increased by 25%, we get:
1 × 1.25 = 1.25 units.
Now, to get back to 1 unit, we need to find:
1.25 × ? = 1
? = [tex]\frac{1}{1.25}[/tex] = 0.80
So, 100% - 80 % = 20%
A 20% decrease.
Not completely sure though.
Plz help what’s the length of the side
Answer:
12
Step-by-step explanation:
Pythagoras Theorem is clearly used in this question.
To Calculate the Hypotenuse:
C = [tex]\sqrt{a^2+b^2}[/tex]
The Adjacent angle has already given as 9, so you can factor that into the question.
In Order to calculate the Opposite angle you need to use the following formula.
[tex]b = \sqrt{c^2-a^2}[/tex]
With the integers we already have for both Hypotenuse and Adjacent factored in this will be your equation:
[tex]b = \sqrt{15^2-9^2} = 12[/tex]
Therefore you answer is 12, Hope this helps, feel free to make as brainilest.
write 7% as a Vulgar fraction
Answer:
7/100
Step-by-step explanation:
This is literally what the percent sign means: "per hundred".
Use the drop-down menu to identify what each label shows.
Answer:
please put a picture so i can awnser
Step-by-step explanation:
Answer:
where is the picture ?
Step-by-step explanation:
.4^3Grafting, the uniting of the stem of one plant with the stem or root of another, is widely used commercially to grow the stem of one variety that produces fine fruit on the root system of another variety. Suppose grafts are done one at a time. A graft fails with probability 0.4, independently of the others. Given there were no failed grafts in the first seven done, what is the probability that there will be at least one failed graft in the next three done
Answer:
0.784 = 78.4% probability that there will be at least one failed graft in the next three done
Step-by-step explanation:
To solve this question, we need to understand the binomial probability distribution and conditional probability.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: No failed grafts in the first seven
Event B: At least one fail in the next three.
Intersection of events A and B:
Since the probability of a graft failling is independent of other grafts, we have that:
[tex]P(A \cap B) = P(A)*P(B)[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)*P(B)}{P(A)} = P(B)[/tex]
So we just have to find the probability of one fail in three trials.
Three trials means that [tex]n = 3[/tex].
The probability is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.216 = 0.784[/tex]
0.784 = 78.4% probability that there will be at least one failed graft in the next three done
HELP...... rewrite the equation by completing the square.
x ^2 +10x+16=0
Answer:
[tex](x+5)^{2} = 9[/tex]
Step-by-step explanation:
To complete the square you need to add [tex]\frac{b}{2}^{2}[/tex]to both sides. (Parenthesis around b/2)
b = 10
b/2 = 5
(b/2)^2 = 25
[tex]x^{2}[/tex] +10x + 16 = 0
subtract 16 to both sides
[tex]x^{2}[/tex] + 10x = -16
add 25 to both sides
[tex]x^{2}[/tex] +10x + 25 = 9
Perfect Square Trinomial Factoring
[tex](x+5)^{2}[/tex] = 9
Areesh is trying to build a box fort. He has 8 feet of duct tape.
The instructions are to use 22.5 inches of the tape to secure the roof of the box fort. Then, the remaining
tape should be cut into 5-inch sections to be used on the walls of the box fort. Areesh will use all of the
duct tape as instructed.
Determine the number of 5-inch sections of tape Areesh can cut.
Answer:
The number of 5-inch cuts if duct tape remainding is 14.
Step-by-step explanation:
1. 96 - 22.5 = 73.5
2. 73.5/5 = 14.7
3. .7 isnt a full piece of tape, so he has 14 5inch tapes
The lightest puppy in a litter weighs 12 ounces, which is
4/7
of the weight of the heaviest puppy.
The equation
4/7
w = 12 can be used to find the weight w in ounces of the heaviest puppy.
How much does the heaviest puppy weigh?
Answer:
46 pounds
Step-by-step explanation:
Answer:
21 pounds
Step-by-step explanation:
3. Aşağıda verilen çıkarma işleminde bazı rakamların yerine semboller kullanılmıştır.
4 318
3 2*
4 1 A6
Buna göre, bu sembollerin yerine yazılması gereken rakamlar için (1+A)** işlemi-
nin sonucu kaçtır?
A) 28
B) 30
C) 55
D) 63
g
ANK-0502
Answer:
thr answers are A and D of the question
Item 4
An account earns simple interest.
$925 at 2% for 2.4 years
a. Find the interest earned.
$
b. Find the balance of the account.
$
Answer:
24
Step-by-step explanation:
What number does x stand for in this equation?
-7x + 6= 27
A
21
B
2
C
-3
D
-7
Answer:
C. -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-7x + 6 = 27
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 6 on both sides: -7x = 21[Division Property of Equality] Divide -7 on both sides: x = -3Simplify completely''''
Answer:
[tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{2x^2 + 16x + 30}{5x^2 + 13x - 6}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{2(x + 3)(x + 5)}{5x^2 + 13x - 6}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{2(x + 3)(x + 5)}{(x + 3)(5x - 2)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]Is anyone smart enough to answer this correctly?
Answer:
C. 55 square centimetre
Step-by-step explanation:
Area of the triangle on the top= 1/2 * 2 * 3 cm^2
= 3 cm^2
Area of the rectangle in between= 8 * 2 cm^2
= 16 cm^2
Area of the parallelogram at the bottom
= 12 * 3 cm^2
= 36 cm^2
Therefore, Area of the figure
= (3+16+36) cm^3
= 55cm^2
Hope you got the answer ☺️
Choose the number below that represents the digit in the hundreds place of the number 365
Answer:
it's three hope it helps
Step-by-step explanation:
geometry please help :( so stuck in this topic
Answer:
a (6,-3)
b (9,0)
c (5,1)
Step-by-step explanation:
In the first year of a 10,000 investment the interest rate was 6%. All earned interest remained invested for the second year, and the interest rate increased to 7%. What was the percent increase of the entire investment after two years?
Answer:
13.4%
Step-by-step explanation:
First year:
$10,000*6% = $600
New balance = $10,600
Second Year:
$10,600*7% = $742
$10,600+ $742 = $11,342
Total Return:
Final Balance - Initial balance
$11,342 - $10,000 = $1,342
$10,000*x ÷ $1,342
x = $1,342/$10,000
x = 0.1342
0.134 = 13.4%
58 + 18 =
78-58=
335+415
Answer:
78
20
750
Step-by-step explanation:
Make a conjecture. What properties do you think stay the same after a translation? Check all that Apply.
Angle measures
Length
Orientation
Shape
Size
Answer: ALL OF THE ABOVE
Step-by-step explanation:
a translation doesn't change any of the above, they all remain the same. it's a trick question :P
The area of a parallelogram is 513cm² and the height is 19cm. Calculate the base length.
Danny charges $30 for 3 hours of swimming lessons, Martin charges $38 for 2 hours of swimming lessons. Who offers a better deal?
Answer:
Danny
Step-by-step explanation:
Danny charges less because he only charges $30 for 3 hours of swimming lessons while Martin charges $38 for only 2 hours of swimming lessons.
John bought a video game that was 20% off. The game was originally $60. What was the sale price of the game?
Answer:
it was $48
Step-by-step explanation:
$60X0.2
=$48
You welcome
. The expression (x22)( x 7)3 is equivalent to xD. What is the value of p?
3 bags of takis and 2 bags of doritos cost $17. 3 bags of dortios cost $12. How much does 1 bag of takis cost?
Answer:
$3.00
Step-by-step explanation:
3t + 2d = 17
3d = 12
d = 4
3t + 8 = 17
3t = 9
t 3
Answer:
A bag of takis is $3
Step-by-step explanation:
3 bags of doritos at $4 a piece
$17-$8=$9
$9/3=$3
Tim's goal is to practice playing drums for 300 minutes this week. On Sunday he practiced for 127 minutes. On Tuesday he practiced for 38 minutes. How many more minutes does Tim need to practice in order to meet his goal?
Answer:
135 minutes
Step-by-step explanation:
The total number of minutes Tim needs to practice is 300 minutes.
We subtract the number of minutes he has already finshed:
300 - 127 - 38 = 135 minutes
Answer:
138 minutes
Step-by-step explanation:
so all we have to do is subtract the times he practiced for on sunday and tuesday by 300
300-127-38=138
he still has to practice 138 minutes to reach his goal
What’s 8367 divided by 7
Answer:
1195.28
Step-by-step explanation:
We have a division problem which is 8,367 ÷ 7.
When it comes to division, you always look at the first number that is being split equally by the second number.
Follow the steps of the division problem :
Find how many times 7 goes into 8 :
7 * 1 = 7
Subtract 7 from 8 :
8 - 7
1
We have 1 in our thousands place, move down the number next to 8 in 8367 which is 3, and see how many times 7 goes into that number :
13
7 * 1 = 7
Therefore 7 only goes in once, put 1 next to 1 on top of the division problem, subtract 7 from 13 :
13 - 7
6
Move the 6 down from 8367 and see how many times 7 goes into that :
7 * 9 = 63
Subtract 63 from 66 :
3
Put 9 next to the one, as for now we have 119, now bring down the last value in 8367 and see how many times 7 goes into that :
37
7 * 5
35
Subtract 37 - 35 :
2
Therefore, our answer is 1195.28 , 1195 Remainder 2
Step-by-step explanation: The result of 8367/7 is a non-terminating, repeating decimal. The repeating pattern above, 285714, is called repetend, and denoted overlined with a vinculum.
This notation in parentheses is also common: 8367/7 = 1195.(285714): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 8367 / 7 = 1195.285714… .
8367 divided by 7 in decimal = 1195.285714
8367 divided by 7 in fraction = 8367 divided 7
8367 divided by 7 in percentage = 119528.57142857%
If it is okie can i have brainliest? it took me a while to write all of this.=3
Miguel can drive 4 times as fast as Raul can ride his bicycle. If it takes Raul 3 hours longer than Miguel to travel 68 miles, how fast (in mph) can Raul ride his bicycle? Round your answer to two decimal places, if needed.
Answer:
17 mphStep-by-step explanation:
Miguel's speed = m, Raul's speed = rGivenm = 4rDistance = 68 milesTime difference = 3 hoursSolutiontime = distance/speedSubstitute values and solve for r the equation of the time difference:
68/m + 3 = 68/r68/4r + 3 = 68/r17/r + 3 = 68/r17 + 3r = 683r = 68 - 173r = 51r = 17Raul's speed is 17 mph
Answer:
[tex] \huge \boxed{ \boxed{ \red{ \tt17 \: mph}}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:equationequation word problemsPEMDASgiven:Miguel can drive 4 times as fast as Raul can ride his bicycle. If it takes Raul 3 hours longer than Miguel to travel 68 miles, how fast (in mph) can Raul ride his bicycletips and formulas:t=d/sto findhow fast can Raul ride his bicyclelet's solve:let's the speed of Raul be x
likewise
Miguel can drive 4 times as fast as Raul can ride his bicycle
therefore
4x
according to the question
[tex] \sf \frac{68}{4x}+3=\frac{68}{x}[/tex]
[tex] \implies \sf \frac{68 + 12x}{4x} = \frac{68}{x} [/tex]
[tex] \sf factor \: out \: 4 \: and \: reduce \: it : \\ \sf \implies \frac{4(17 + 3x)}{4x} = \frac{68}{x} \\ \\ \implies\sf \frac{17 + 3x}{x} = \frac{68}{x}[/tex]
[tex] \sf multipy \: both \: sides \: by \: x : \\ \sf \implies (\frac{17 +3 x}{x} )x = (\frac{68}{x} )x \\ \implies \sf 17 + 3x = 68[/tex]
[tex] \sf cancel \: 17 \: from \: both \: sides : \\ \implies \sf 17 - 17 + 3x = 68 - 17 \\ \implies \sf 3x = 51[/tex]
[tex] \sf divide \: both \: side s \: by \: 3 : \\ \sf \implies \frac{3x}{3} = \frac{51}{3} \\ \therefore x = 17[/tex]
The Rileys are buying a home that costs $250,000. They are paying 3% in closing costs and 12% for a down payment. Complete the statement. The Rileys will pay a total of in costs for the closing costs and down payment on their mortgage.
Answer:
37,500 and non recurring
Step-by-step explanation:
The Riley's will pay a total of $7,500 in costs for the closing costs and $30,000 down payment on their mortgage.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Rileys are buying a home that costs $250,000.
12% for a down payment
So, down payment is
12% of 250,000
= 12/100 ×250,000
= 12×2500
= $30,000
They are paying 3% in closing costs
3% of 250,000
= 3/100×250,000
= $7,500
Therefore, the Riley's will pay a total of $7,500 in costs for the closing costs and $30,000 down payment on their mortgage.
To learn more about the percentage visit:
brainly.com/question/24159063.
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Write the exponent for 4^? = 64 What number is the question mark? *