Answers
(b + 2) ^2 = 14 ———> b + 2 = the square root of 14.
You then subtract 2 from both sides an you should get b = -2 +/- sqrt of 14
Related Questions
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.
Solve by the substitution method
8x + 5y=11
3x + y=16
Answers
Answer:
x=69/7 y=-95/7
Step-by-step explanation:
At the art store, Aisha bought a few blocks of clay to make a teapot and matching mugs for her aunt. She used 2 1/2 pounds of clay to make the mugs and 1 1/2 times as much clay for the teapot. If each block of clay weighed 2 pounds, how many blocks did Aisha use in all?
Answers
13 3/4 is the correct answer
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
Solve: 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!
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!
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.
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
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Find the equation for the vertical line that goes through point V (-5,17)
Need Help ASAP
Please
Answers
Answer:
y=0x-5
Step-by-step explanation:
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:
#CarryOnLearningPLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answers
88km
26/13 = x/44
44*26 = 13x
1144 = 13x
x= 88
Answer:
88
Step-by-step explanation:
[tex] \frac{26}{13} = \frac{x}{44} [/tex]
reduce the first ratio
[tex] \frac{2}{1} = \frac{x}{44} [/tex]
cross multiply and divide
[tex]x = 88[/tex]
Am item is priced at $14.26 if the sales tax is 7% what dose the item cost including sales Tax
Answers
Answer:
15.26
Step-by-step explanation:
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
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
PLEASE HELP!! Only answer if correct.
Answers
Answer:
top -55
bottom 325
Step-by-step explanation:
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
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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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:
PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST
Answers
Evaluate the expression.
Answers
Answer:
22
Step-by-step explanation:
hoffe das hilft :)
Answer:
[tex] \frac{ -4 [ - 5(7 - 13) - 19]}{2( - 1)} \\ \\ \frac{ - 4[ - 35 - 65 - 19]}{ - 2} \\ \\ \frac{ - 4 [ - 119] }{ - 2} \\ \\ \frac{ - 4 - 119}{ - 2} \\ \\ \frac{ - 123}{ - 2} \\ 61.5 \: \: \: \: answer \: [/tex]
please help me!!!!!!!
Answers
Answer:
a = 3 , b = 5
Step-by-step explanation:
Help help helpppo plz plz plz I forgot how to do this it is for my Lil bro so plz help meh
Answers
Answer:
6 is greater than -7.
-7 has the greater absolute value.
Step-by-step explanation:
Any number that is not negative is going to be greater than any number that is negative. So 6 is greater than -7. But with absolute value it's a little bit different. You can just think about it in terms of distance. Whichever number is further from zero is going to have the greater absolute value whether it's negative or not.
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.
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in.
Answers
Answer:
-2 1/2
Step-by-step explanation:
Find all exact solutions on the interval [0,2π) csc^2(x)-9= -5
Answers
Answer:
d
Step-by-step explanation:
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
Graph the ordered pair solutions of y = |x+2| when x = -5, -3, 0, 3, and 5
Answers
Graphed:
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
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Determine the midpoint of segment CD
Answers
Answer:
9
Step-by-step expation:
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
If p<0,q>0 and q=r what statement about is r true
Answers
Answer:
hell no
Step-by-step explanation:
bbbb