Answers
Answer:
25-22. 3
---------- = ---
2-1. 1
slope is equal to 3
Related Questions
Mark deposit $ 200 into an account that pays an interest rate 3.5% compounded annually. He doesn't add or remove from his account for 4 years how much money will markbhave in 4 years
Answers
Answer:
30,012.5
Step-by-step explanation:
We power the number by itself for the past years so in this it will be 3.5 powered by itself four times equaling 150.0625 multiplied by the first deposit which is 200 so 200*150.0625= 30,012.5
Hope this helps
Graph the ordered pair solutions of y = |x+2| when x = -5, -3, 0, 3, and 5
Answers
Graphed:
Which expressions are equivalent to?
Answers
Answer:
-6(b+2) +8
= -6b -12 +8
= -6b -4
Step-by-step explanation:
PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST
Answers
A batting machine uses an automatic baseball feeder. During baseball
practice the feeder is a full. An attendant fills it with 15 baseballs so
that the feeder is now full. How many baseballs does the feeder
hold when full?
A. Write an equation to represent the problem.
Answers
The feeders in battling machine are represented in proportions and fractions.
The equation that represents the problem is: [tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]The feeder can hold 30 baseballs, when fullThe given parameters are:
[tex]\mathbf{Initial = \frac 16x}[/tex] ------ 1/6 full
[tex]\mathbf{Additional = 15}[/tex] --- baseballs added
[tex]\mathbf{Final = \frac 23x}[/tex] ---- 2/3 full
So, the equation that represents the problem is:
[tex]\mathbf{Initial + Additional = Final}[/tex]
So, we have:
[tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]
The number of baseballs it can hold is calculated as follows:
[tex]\mathbf{\frac 16x + 15 = \frac 23x}[/tex]
Multiply through by 6
[tex]\mathbf{x + 90 = 4x}[/tex]
Collect like terms
[tex]\mathbf{4x - x = 90 }[/tex]
[tex]\mathbf{3x = 90 }[/tex]
Divide through by 3
[tex]\mathbf{x = 30 }[/tex]
Hence, the feeder can hold 30 baseballs, when full
Read more about proportions and fractions at:
https://brainly.com/question/20337104
Complete the multiplication problem to find the answer
Answers
Answer:
B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
The spread of a virus is modeled by V (t) = −t 3 + t 2 + 12t,
where V (t) is the number of people (in hundreds) with the virus and t is the number of weeks since the first case was observed.
(a) Sketch V (t).
(b) What is a reasonable domain of t for this problem?
(c) Find the average rate of infection from t = 0 to t = 2.
(d) Find the instantaneous rate of infection as a function of t using the limit definition of the derivative.
(e) Find V (2) and V ‘ (2). Write a sentence interpreting V (2) and V ‘ (2) in terms of the number of infected people. Make sure to include units.
(f) Sketch the tangent line to the graph you drew in a. at the point (2, V (2)). State the slope of the tangent line.
(g) Use V (2) and V ‘ (2) to estimate the value of V (2.1).
(h) Find the maximum number of people infected at the same time and when the maximum occurs. Determine the rate of infection at this time.
Answers
Functions can be used to model real life scenarios
The reasonable domain is [tex]\mathbf{[0,\infty)}[/tex].The average rate of change from t = 0 to 2 is 20 persons per weekThe instantaneous rate of change is [tex]\mathbf{V'(t) = -3t^2 + 2t + 12}[/tex].The slope of the tangent line at point (2,V(20) is 10 The rate of infection at the maximum point is 8.79 people per weekThe function is given as:
[tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]
(a) Sketch V(t)
See attachment for the graph of [tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]
(b) The reasonable domain
t represents the number of weeks.
This means that: t cannot be negative.
So, the reasonable domain is: [tex]\mathbf{[0,\infty)}[/tex]
(c) Average rate of change from t = 0 to 2
This is calculated as:
[tex]\mathbf{m = \frac{V(a) - V(b)}{a - b}}[/tex]
So, we have:
[tex]\mathbf{m = \frac{V(2) - V(0)}{2 - 0}}[/tex]
[tex]\mathbf{m = \frac{V(2) - V(0)}{2}}[/tex]
Calculate V(2) and V(0)
[tex]\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}[/tex]
[tex]\mathbf{V(0) = (0)^3 + (0)^2 + 12 \times 0 = 0}[/tex]
So, we have:
[tex]\mathbf{m = \frac{20 - 0}{2}}[/tex]
[tex]\mathbf{m = \frac{20}{2}}[/tex]
[tex]\mathbf{m = 10}[/tex]
Hence, the average rate of change from t = 0 to 2 is 20
(d) The instantaneous rate of change using limits
[tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]
The instantaneous rate of change is calculated as:
[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}[/tex]
So, we have:
[tex]\mathbf{V(t + h) = (-(t + h))^3 + (t + h)^2 + 12(t + h)}[/tex]
[tex]\mathbf{V(t + h) = (-t - h)^3 + (t + h)^2 + 12(t + h)}[/tex]
Expand
[tex]\mathbf{V(t + h) = (-t)^3 +3(-t)^2(-h) +3(-t)(-h)^2 + (-h)^3 + t^2 + 2th+ h^2 + 12t + 12h}[/tex][tex]\mathbf{V(t + h) = -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h}[/tex]
Subtract V(t) from both sides
[tex]\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h - V(t)}[/tex]
Substitute [tex]\mathbf{V(t) = -t^3 + t^2 + 12t}[/tex]
[tex]\mathbf{V(t + h) - V(t)= -t^3 -3t^2h -3th^2 - h^3 + t^2 + 2th+ h^2 + 12t + 12h +t^3 - t^2 - 12t}[/tex]
Cancel out common terms
[tex]\mathbf{V(t + h) - V(t)= -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}[/tex]
[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{V(t + h) - V(t)}{h}}[/tex] becomes
[tex]\mathbf{V'(t) = \lim_{h \to \infty} \frac{ -3t^2h -3th^2 - h^3 + 2th+ h^2 + 12h}{h}}[/tex]
[tex]\mathbf{V'(t) = \lim_{h \to \infty} -3t^2 -3th - h^2 + 2t+ h + 12}[/tex]
Limit h to 0
[tex]\mathbf{V'(t) = -3t^2 -3t\times 0 - 0^2 + 2t+ 0 + 12}[/tex]
[tex]\mathbf{V'(t) = -3t^2 + 2t + 12}[/tex]
(e) V(2) and V'(2)
Substitute 2 for t in V(t) and V'(t)
So, we have:
[tex]\mathbf{V(2) = (-2)^3 + (2)^2 + 12 \times 2 = 20}[/tex]
[tex]\mathbf{V'(2) = -3 \times 2^2 + 2 \times 2 + 12 = 4}[/tex]
Interpretation
V(2) means that, 20 people were infected after 2 weeks of the virus spread
V'(2) means that, the rate of infection of the virus after 2 weeks is 4 people per week
(f) Sketch the tangent line at (2,V(2))
See attachment for the tangent line
The slope of this line is:
[tex]\mathbf{m = \frac{V(2)}{2}}[/tex]
[tex]\mathbf{m = \frac{20}{2}}[/tex]
[tex]\mathbf{m = 10}[/tex]
The slope of the tangent line is 10
(g) Estimate V(2.1)
The value of 2.1 is
[tex]\mathbf{V(2.1) = (-2.1)^3 + (2.1)^2 + 12 \times 2.1}[/tex]
[tex]\mathbf{V(2.1) = 20.35}[/tex]
(h) The maximum number of people infected at the same time
Using the graph, the maximum point on the graph is:
[tex]\mathbf{(t,V(t) = (2.361,20.745)}[/tex]
This means that:
The maximum number of people infected at the same time is approximately 21.
The rate of infection at this point is:
[tex]\mathbf{m = \frac{V(t)}{t}}[/tex]
[tex]\mathbf{m = \frac{20.745}{2.361}}[/tex]
[tex]\mathbf{m = 8.79}[/tex]
The rate of infection is 8.79 people per week
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https://brainly.com/question/18806107
Which graph best represents the solution to the system of equations shown below? y = -4x + 19 y = 2x + 1 A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 7, 3. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 3, 7. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 7, negative 3.
Answers
Answer:
Option 3 is the correct answer.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7.
Step-by-step explanation:
y = -4x - 19 y = 2x − 1
-4x - 19 = 2x - 1
6x = -18
x = -3
y = 2(-3) - 1 = -7
Is seven radical 2 rational?
Answers
If seven radical 2 means [tex]7\sqrt{2}[/tex], then the number is irrational.
It means that it goes on and on after the decimal place.
√2 is a surd, so it's irrational.
Find the missing length indicated
Answers
Step-by-step explanation:
10)
again, drawing the height into a right triangle creates 3 right triangles : the original one, and the 2 on both sides of the height.
all these 3 triangles are similar to each other (the angles must be the same).
therefore the ratio of 2 sides in one triangle must be the same as the ratio of the corresponding 2 sides in the other triangles.
so,
x/36 = 64/x
x² = 64×36
x = sqrt(64×36) = 8×6 = 48
11)
same principle.
x/36 = 100/x
x² = 100×36
x = sqrt(100×36) = 10×6 = 60
12)
same as 11)
x/9 = (16+9)/x = 25/x
x² = 25×9
x = sqrt(25×9) = 5×3 = 15
The water level in a lake was monitored and was noted to have changed −1 1/5 inches in one year. The next year it was noted to have changed −1 3/10 inches.
What was the total change in the water level over the two years?
Enter your answer as a simplified mixed number by filling in the boxes.
$$
in.
Answers
Answer:
-2 1/2
Step-by-step explanation:
Express the number in terms of i
Answers
Step-by-Step-Explanation
Hope this helps
Answer:
[tex]\sqrt[]{9} i[/tex]
Step-by-step explanation:
[tex]\sqrt[]{ab}=\sqrt[]{a} *\sqrt[]{b} \\Therefore, \sqrt[]{-9} =\sqrt[]{9}*\sqrt[]{-1} \\\\\sqrt[]{-1}=i\\\\So, \sqrt[]{-9}= \sqrt[]{9}i[/tex]
please help me!!!!!!!
Answers
Answer:
a = 3 , b = 5
Step-by-step explanation:
SOMEONE HELP PLZ 20 POINTS
JUST NEED HELP IN THE LAST 4
Answers
Answer:
the last one is
four cubed plus 8 to the 4th power
4^3 + 8^4
4160
Step-by-step explanation:
Doug entered a canoe race. He rowed 3 1/2 miles in 1/2 hour what is his average speed in miles per hour
Answers
Answer: 7 miles per hour
Step-by-step explanation:
3 1/2 miles = 7/2 miles
1/2 hours= 30 minutes
So,
In 30 mins, travelled 7/2 miles
In 1 min, travelled 7/2 ÷ 30= 7/2× 1/30 = (7×1)/(2×30) = 7/60 miles
In 60 mins, travelled (7×60)/60 miles = 420/60 miles = 7 miles.
Hence, the speed is 7 miles per hour.
Determine the midpoint of segment CD
Answers
Answer:
9
Step-by-step expation:
Yadmine scored 104 points for attempting all 40m questions. If she was awarded 5 points for every correct answer and had 3 points deducted for every incorrect answer, how many questions did Yasmin answer incorrectly?
Answers
Using a system of linear equation to represent the problem given, there are 12 incorrect answers given
Points per correct score = 5 Points deducted per incorrect score = 3 Number kd questions answered = 40Let :
Number of correct answers = cWe could create an equation thus:
5(c) - 3(40 - c) = 104
Expand
5c - 120 + 3c = 104
8c = 104 + 120
8c = 224
c = (224 ÷ 8)
c = 28
Number of incorrect answers = 40 - 28 = 12
Therefore, there are 12 incorrect answers
Learn more : https://brainly.com/question/18112348
Solve by the substitution method
8x + 5y=11
3x + y=16
Answers
Answer:
x=69/7 y=-95/7
Step-by-step explanation:
Please answer the following question:
Answers
Answer:
l
Step-by-step explanation:
Which table can be represented by a line?
A)
А
B)
B
C С
D
D
Answers
Step-by-step explanation:
if you really want to get answer you should follow me
Thomas Clemens lives in a town that charges a 0.5% city income tax rate. How much city income tax did he owe last year if he had federal taxable income of $45,883?
Answers
Answer:
$2294.15
Step-by-step explanation:
45883 x .05 = 2294.15
Suppose you want to work out by combining periods of jogging at 5
mph and walking at 3 mph. You intend to go a total distance of at least 3
miles in at most 45 minutes, and you want the distance jogged to be at
most four times the distance walked.
Determine the distances walked and jogged, to the nearest tenth of a
mile, that would result in
the greatest number of miles jogged.
• the greatest number of miles walked.
Explain in detail how you determined your answers. Include a graph in
your explanation
Answers
Answer:
5+3+3+45=?
Step-by-step explanation:
#CarryOnLearningSolve: 1 × -23 = Question 9 options: -1 1 23 -23
Answers
Answer:
-23
Step-by-step explanation:
1 × -231. When multiply a positive number by a negative number, the answer will always be negative.
2. When we multiply any number by 1, that number will stay the same.
[tex]1 * -23[/tex] [tex]-23[/tex]Therefore, the answer is -23!
Find all exact solutions on the interval [0,2π) csc^2(x)-9= -5
Answers
Answer:
d
Step-by-step explanation:
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answers
Answer:
All you have to do is divide 896 ÷ 32 which is 28 and multiply is by 3 since its 3 more nights and the answer is 84 centimeters.
28*3=84
Hope this is correct!
If p<0,q>0 and q=r what statement about is r true
Answers
Answer:
hell no
Step-by-step explanation:
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Help me please!!!!!✨✨✨✨✨✨✨✨✨✨
Answers
a student sketched some art on an 8 inch x 10 inch piece if paper he wants to resize it to fit an 4 inch x 6 inch frame. What percent of the original sketch was still able to be included?
Answers
inches tall. It gets scaled down to a new width of 7 inches. We need to find the new height. To do this, we write a proportion:
8.5/11=x/7
Cross multiply:
11x = 59.5
Divide:
X = 5.41
The size of the picture is 5.41" x7", but the size of the frame is 5" x7". The part of the picture's area that is included in the frame is:
(5 × 7) / (5.41 × 7)
= 5/ 5.41
= 0.924
92.4% of the picture is inside the frame.
Walmart sells a 40-ounce jar of peanut butter for $5.58
What is the Unit Price?
Answers
To find the unit price, you divide the total price by the number of items, and in this case, you divide the total price by ounces
due at 5:30 help asap!! look at the photo
Are the linear expressions equivalent? Drag the choices to the boxes to correctly complete the table
Answers
bottom one is not equivalent
Answer:
First one is equivalent second one is not equivalent
Step-by-step explanation: