Answer:
[tex]x=-30;\quad \:I\ne \:0[/tex]
Step-by-step explanation:
[tex]In\cdot \:4+In\left(4x-15\right)=In\left(5x+19\right)[/tex]
[tex]\:4+In\left(4x-15\right):\quad -11nI+4nxI\\In\cdot \:4+In\left(4x-15\right)\\=4nI+nI\left(4x-15\right)\\\\\:In\left(4x-15\right):\quad 4nxI-15nI\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=In,\:b=4x,\:c=15\\=In\cdot \:4x-In\cdot \:15\\=4nxI-15nI\\=In\cdot \:4+4nxI-15nI\\\mathrm{Simplify}\:In\cdot \:4+4nxI-15nI:\quad -11nI+4nxI\\In\cdot \:4+4nxI-15nI\\\mathrm{Group\:like\:terms}\\=4nI-15nI+4nxI\\\mathrm{Add\:similar\:elements:}\:4nI-15nI=-11nI\\=-11nI+4nxI\\[/tex]
[tex]\mathrm{Expand\:}In\left(5x+19\right):\quad 5nxI+19nI\\In\left(5x+19\right)\\=nI\left(5x+19\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=In,\:b=5x,\:c=19\\=In\cdot \:5x+In\cdot \:19\\=5nxI+19nI\\\\-11nI+4nxI=5nxI+19nI\\\\\mathrm{Add\:}11nI\mathrm{\:to\:both\:sides}\\-11nI+4nxI+11nI=5nxI+19nI+11nI\\Simplify\\4nxI=5nxI+30nI\\\mathrm{Subtract\:}5nxI\mathrm{\:from\:both\:sides}\\4nxI-5nxI=5nxI+30nI-5nxI\\\mathrm{Simplify}\\-nxI=30nI\\[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-nI;\quad \:I\ne \:0\\\frac{-nxI}{-nI}=\frac{30nI}{-nI};\quad \:I\ne \:0\\\mathrm{Simplify}\\\frac{-nxI}{-nI}=\frac{30nI}{-nI}\\\mathrm{Simplify\:}\frac{-nxI}{-nI}:\quad x\\\frac{-nxI}{-nI}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{nxI}{nI}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{xI}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=x\\\mathrm{Simplify\:}\frac{30nI}{-nI}:\quad -30\\\mathrm{Apply\:the\:fraction\:rule}:[/tex]
[tex]\quad \frac{a}{-b}=-\frac{a}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{30I}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=-30\\x=-30;\quad \:I\ne \:0[/tex]
To reduce the likelihood of an accident when driving, you should consider how
far your car will travel before safely coming to a stop for the speed at which you
are traveling. Assume you are traveling on a dry road and have an average reaction
time. The formula d = 0.044s + 1.1s gives you a safe stopping distance d in feet,
where s is your speed in mi/h. Make a table of values for speeds of 10, 20, 30, 40,
50, and 60 mi/h. Then, graph the function.
Answer:
10 -- 1.54
20 -- 1.98
30 -- 2.42
40 -- 2.86
50 -- 3.3
60 -- 3.74
Step-by-step explanation:
jus tput the value of x:10,20,30,40,50,60 and calculate y
then plot x and y
Answer:
d = 0.044s + 1.1s
d = 1.144s
s. | d.
10 | 11.44
20 | 22.88
30 | 34.32
40 | 45.76
50 | 57.2
60 | 68.64
For the graph, draw a straight line (only in the first quadrant) connecting:
(0,0) and (50,57.2)
Label the horizontal axis "speed (m/h)" and the vertical axis "distance (m)"
What is the surface area of a cylinder with base radius 4 and height 5? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
The surface area of the cylinder is [tex]\( 72\pi \)[/tex] or approximately [tex]\( 227.836 \)[/tex] square units when using [tex]\( \pi \approx 3.143 \)[/tex].
The surface area of a cylinder can be calculated using the formula:
[tex]\[ \text{Surface Area} = 2\pi r^2 + 2\pi r h \][/tex]
where [tex]\( r \)[/tex] is the radius of the base and [tex]\( h \)[/tex] is the height of the cylinder.
Given the base radius [tex]\( r = 4 \)[/tex] and the height [tex]\( h = 5 \)[/tex], we can substitute these values into the formula:
[tex]\[ \text{Surface Area} = 2\pi (4)^2 + 2\pi (4)(5) \][/tex]
[tex]\[ \text{Surface Area} = 2\pi (16) + 2\pi (20) \][/tex]
[tex]\[ \text{Surface Area} = 32\pi + 40\pi \][/tex]
[tex]\[ \text{Surface Area} = 72\pi \][/tex]
Now, if we use the approximation[tex]\( \pi \approx 3.143 \)[/tex], the surface area becomes:
[tex]\[ \text{Surface Area} \approx 72 \times 3.143 \][/tex]
[tex]\[ \text{Surface Area} \approx 227.836 \][/tex]
Tyler poured a total of 15 cups of water into 2 equal-sized bottles and filled each bottle. How much water was in each bottle?
||||
☆Thanks for the help guys!☆
Step-by-step explanation:
So 2 bottles and 15 cups
15 ÷ 2 = 7.5
He poured 7.5 cups of water in each bottle
Answer:
if you need a diagram here you go
Step-by-step explanation:
Help ASAP, question below, 20 points
Answer:
1 more lawn per hour
Step-by-step explanation:
Brian mows one lawn every hour while logan takes 4 hours to mow 2
Brian:
Hr 1 1 Lawn
Hr 2 2 Lawn
Hr 3 3 Lawn
Hr 4 4 Lawn
Logan:
Hr 1 2 Lawn
Hr 2 4 Lawn
Hr 3 6 Lawn
Hr 4 8 Lawn
I'll mark the correct answer the Brainiest
What is the sum of 4.9 × 10^2 and 6.8 × 10^3?
A.
1.17 × 10^3
B.
1.17 × 10^5
C.
1.17 × 10^7
D.
7.29 × 10^2
E.
7.29 × 10^3
Answer:
E
Step-by-step explanation:
To find the sum, you most find the answers for both powers of tens. 10^2 is 100, so 4.9*100=490. 10^3 is 1000, so 6.8^1000= 6800. Add them together and you get 7290, which if divided by 1000, you get 7.29. Since 10^3 is 1000, the correct answer isE.
Which number comes next in the pattern?
17, 21, 25, 29, ?
a. 31
b. 32
c. 33
d. 34
Answer:
C. 33
Step-by-step explanation:
The pattern increases by 4; 17+4=21, 21+4=25, 25+4=29, 29+4=33
A principle square root is always:?
Answer:
Every positive number "n" has two square roots. One of them is positive ( or ) , and the other is negative ( ). Together, these are denoted as . The principal square root is the positive number square root. Unless otherwise stated, "the square root" of a number refers ONLY to the principal square root.
Step-by-step explanation:
Answer:
positive #square root
Step-by-step explanation:
If f(3) = -15, then what is f^-1(-15)?
Answer:3
Step-by-step explanation:
This is the basic definition of an inverse. f(3)=-15 means you plugged in 3 in the function, and you ended up with -15. The inverse means you plugged in some number x, and ended up with -15. Because f(3)=-15, the answer is 3.
Explain how leaders supported writers.
Answer:
It seems there has been an explosion of articles about leading and leadership and what to do to be a great leader. Their suggestions can seem so broad and wide-ranging that it can be difficult to know just what to do next when trying to lead. Some seem so romanticized and idealized that it is hard to imagine anyone being a truly great leader. Yet, there are some practical skills needed in leading, and they can quite different depending on whether you are leading yourself, other individuals, groups or organizations -- and on the situation each is in. This topic provides the resources to develop those skills. However, if you want to truly understand leadership (and this topic assumes that you do), then you should be acquainted with its broad context, including the diversity of theories, models and styles in leadership. This topic mentions all of those, as well.
Step-by-step explanation:
Answer: It seems there has been an explosion of articles about leading and leadership and what to do to be a great leader. Their suggestions can seem so broad and wide-ranging that it can be difficult to know just what to do next when trying to lead. Some seem so romanticized and idealized that it is hard to imagine anyone being a truly great leader. Yet, there are some practical skills needed in leading, and they can quite different depending on whether you are leading yourself, other individuals, groups or organizations -- and on the situation each is in. This topic provides the resources to develop those skills. However, if you want to truly understand leadership (and this topic assumes that you do), then you should be acquainted with its broad context, including the diversity of theories, models and styles in leadership. This topic mentions all of those, as well.
Step-by-step explanation: I got it right
1
Complete the following proof by putting the reasons in order. Click on the proof to make it larger.
Remember, draw the diagram on your paper so you can label it!
Drag and drop the reasons so they are in the correct order for the proof.
SAS
Given (1)
Given (2)
CPCTC (Congruent parts of congruent triangles are congruent)
Reflexive Property
Answers:
Angle MNP is congruent to Angle OPN- Given 1MN is congruent to OP- Given 2Np is congruent to NP- Reflexive PropertyTriangle MNP is congruent to Triangle OPN- SASMp is congruent to No- CPCTCI've attached a diagram that visually shows the congruency!!
Help !
Can I have an explanation as well please !
Look at the attached picture
hope it will help you
Graph each linear equation.
x-y=-2
Answer:
the second answer
Step-by-step explanation:
start by getting the given equation into slope intercept form: y=mx+b
Just subtract x from both sides to get y by itself then divide by -1 bc y needs to be positive:
x-y=-2
-y=-x-2
y=-x/-1 -2/-1
y=x+2
This line is positive so it'll increase from left to right and also go through point (0,2) ( aka the y-intercept)
In the week that ended on January 4, there were 24 cases of flu reported in a city’s hospital. In the 5 weeks that followed, the number of new cases reported each week had grown exponentially and can be modeled by this graph.
Final answer:
The question involves analyzing the exponential growth of influenza cases and understanding historical flu pandemics, from the model of cases' augmentation in the hospital to societal impacts and public health responses, which falls within the field of Biology for High School students.
Explanation:
The discussion around the reported cases of flu, responses to outbreaks, and historical flu data primarily involves understanding trends in influenza incidences and epidemiology, which is a field within Biology. When analyzing how flu cases reported in a hospital grow, utilizing an exponential model suggests a mathematical approach to biological data. This is a common method in epidemiology for tracking the spread of diseases. Moreover, looking at past flu pandemics, the focus shifts to the interaction between the disease and society, and how responses such as quarantine and public health measures impact the containment and eventual decline of a pandemic. Historical data can provide insights into how a disease progresses through a population, the impact on the healthcare system, and how public health responses can mitigate these effects.
For example, during the 2007-2008 influenza season, the United States saw an abnormal increase in emergency department visits for influenza-like symptoms. In the context of the 2009-2010 flu pandemic, which resulted in a significant number of worldwide deaths, we can see the importance of quick response and effective public health strategies in areas like the United States. Data showing the number of cases and deaths over time highlight how the course of an outbreak or a pandemic can change based on these factors and natural disease progression.
PLSSSSSS HELP
BRAINLIST
Answer:
The step 4 is not what he should have done. But the wrong is step 5, because if he added -2x both sides, it would give the following equation:
[tex]x-12=-4x+6[/tex]
and not [tex]x-12=6[/tex]
Note that in step 4 he should have added 2x and not -2x to both sides, but we still have the equality. The problem is that step 5 is totally wrong.
I don't know what answer is expected to this question, but I would mark step 5, because this is mathematically wrong.
Solving the equation
[tex]3(x-4)=-4-2(x-5)[/tex]
Using distribution
[tex]3x-12=-4-2x+10\\3x-12=-2+6[/tex]
Add [tex]2x[/tex] both sides
[tex]3x-12+2x=-2x+6+2x[/tex]
[tex]5x-12=6[/tex]
Add 12 both sides
[tex]5x-12+12=6+12\\5x=18[/tex]
Divide both sides by 5
[tex]$x=\frac{18}{5} $[/tex]
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain misses the pirate ship, but the pirate hits?
Answer:
1/7
Step-by-step explanation:
The following information is missing:
Captain Nadia has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Tiffany and her merciless band of thieves.
If her ship hasn't already been hit, Captain Nadia has probability 1/2 of hitting the pirate ship. If her ship has been hit, Captain Nadia will always miss.
If her ship hasn't already been hit, dread pirate Tiffany has probability 2/7 of hitting the Captain's ship. If her ship has been hit, dread pirate Tiffany will always miss.
Let's call:
A: captain hits, P(A) = 1/2
A': captain miss, P(A') = 1 - P(A) = 1/2
B: pirate hits
We want to calculate P(A'∩B). This can be computed as follows:
P(A'∩B) = P(A')*P(B|A')
where P(B|A') means pirate hits given that captain miss. We know that P(B|A') = 2/7. Replacing data into the equation:
P(A'∩B) = (1/2)*(2/7) =1/7
(PART A PART B) PLEASE HELP!!! DUE TODAY!!!! ❤️
Answer:
the anser from what i see should be option 1
Step-by-step explanation:
The reason why i say this is because number 1 is linear which means it is just multipying but your multiplying and adding and its not option 3 because question 5 said the questions started at 1
Which expression has a lesser value? 1/3 x (492 - 166) or 3 x (492 - 166)
Answer:
1/3x(392-166)
Step-by-step explanation:
1/3x(492-166)
1/3x(326)
=326/3
3x(492-166)
3x(326)
=978
Tip, think of 1/3 and 4 as pizzas. Do you want 1 out 3 pizzas? Or 4 pizzas?
if there are 5,280 feet in every mile, then what is the speed of a car that is traveling 35 miles per hour in feet per second.
a) 24
b) 38
c) 44
d) 51
Hey there!
We see that we have 35 miles, and each one is 5,280 feet. Given this, we multiply them together and we see that we have 184800 feet per hour. But, we need feet per second. To do this, we can look at this.
60 seconds=1 minute
60 minutes= one hour
If we use this, we can see that there are 3600 seconds in one hour. We now divide our feet per hour divided by 3600 to get feet per second.
184800/3600= 51 1/3
Therefore, our answer is D) 51.
I hope this helps!
The speed of the car in feet per second should be option D. 51.
The calculation is as follows:We know that
60 seconds=1 minute
60 minutes= one hour
And, in one hour there is 3600 seconds
So,
[tex]= (5280 \times 35) \div 3600[/tex]
= 51
Learn more: https://brainly.com/question/24908711?referrer=searchResults
The first equation from the previous system of
equations is graphed. Graph the second equation to
find the solution of the system of equations.
y = -2x + 4,
y = -5x-1
What is the solution to the system?
Answer:
(x, y) = (-5/3, 22/3)
Step-by-step explanation:
The graph and solution are shown below.
The solution is (-1 2/3, 7 1/3).
At 8 a.m. the temperature was –4ºC. At 12 p.m., the temperature was –1ºC. Shayla claims that it was warmer at 8 a.m. than it was at 12 p.m.
What mistake did Shayla most likely make when comparing the temperatures?
A. She used a number line.
B. She compared the absolute values.
C. She compared the order of the numbers.
D. She counted the distance from zero incorrectly.
Answer:
I believe the answer is C.
Step-by-step explanation:
Shayla forgotten that the further you are away, the more colder it gets or you are further away from zero. It is more warmer at 12pm than 8am as it was -1 degrees celsius which is warmer than -4 degrees celsius.
What is the value of the product (3 – 21)(3 + 2/)?
5
9 + 4
9 - 41
13
The product of (3 – 2i) and (3 + 2i) simplifies to 13 after expanding and simplifying the expression, canceling out the imaginary terms.
To find the product of (3 – 2i) and (3 + 2i), we'll use the distributive property:
(3 - 2i)(3 + 2i) = 3(3) + 3(2i) - 2i(3) - 2i(2i)
= 9 + 6i - 6i - 4i²
Since i² = -1, substitute -1 for i²:
= 9 + 6i - 6i - 4(-1)
= 9 + 6i - 6i + 4
The terms with imaginary parts cancel out:
= 9 + 4
= 13
Thus, the product of (3 – 2i) and (3 + 2i) equals 13.
Complete Question:
What is the value of the product (3 – 2i)(3 + 2i)?
5
9 + 4i
9 – 4i
13
The PS5 is set to release this year. It will cost $600 but the price will drop by 7.5% per year. How much will a PS5 cost in 2025?
Answer: 562.5
Step-by-step explanation:
Ok...Im PRETTY sure this is right, because you multiply 5 (5 years till 2025) times 7.5 (the rate of decrease in price) and subtract that from 500, so that would be 600-37.5, which gives you 562.5
Okay, so the formula for these types of problems is [tex]yab^x[/tex] I believe, or something like that.
So the price is 600 for y, 1-0.0075 is the b because it is decreasing in value each year, and it is 5 years from now, so 5 for the x.
Plug those in, and you will get about 577.83.
I hope this helps.
The probability that Gerald makes a three-point shot in basketball is 20%. For practice, Gerald will regularly
shoot a series of these shots until he succeeds at one. He's curious how many shots it will typically take him
to get his first successful shot.
He simulated 40 trials of three-point shots where each shot had a 0.2 probability of being successful, and
in each trial, he counted how many shots it took to get the first successful shot. Here are his results:
count all the dots that are greater than 10. you'll get 6 dots. the question is asking for the dots 10 and fewer there is 40 dots in total so you subtract
40-6= 34
the answer is 34/40
The probability for the dots 10 and fewer shots to get a successful shot is 34/40
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
The probability that Gerald makes a three-point shot in basketball is 20%.
He simulated 40 trials of three-point shots where each shot had a 0.2 probability of being successful, and in each trial, he counted how many shots it took to get the first successful shot.
all the dots that are greater than 10 = 6 dots.
we need to find for the dots 10 and fewer there are 40 dots in total
So,
40-6= 34
Thus, the answer is 34/40
Learn more about probability here;
https://brainly.com/question/11234923
Here is a table of values for y = f(x).
x 0 5 10 15 20 25 30 35 40
(x) 5 6 7 8 9 10 11 12 13
Mark the statements that are true.
A. The domain for f(x) is the set {5, 6, 7, 8, 10, 11, 12, 13).
B. f(15) = 8
c. K(5) = 6
D. The range for fx) is all real numbers.
Answer, Step-by-step explanation:
Based on the given table of values for y = f(x), the following statements are true:
A. The domain for f(x) is the set {5, 6, 7, 8, 10, 11, 12, 13). [True]
B. f(15) = 8 [True]
C. f(5) = 6 [True]
D. The range for f(x) is all real numbers [False]
The range for f(x) is not all real numbers, as the table only provides specific values for y = f(x) and does not cover all possible real numbers. The range for f(x) is the set {5, 6, 7, 8, 9, 10, 11, 12, 13}.
there were 100 questions on the social studies test. Arpan answered 97 of the questions Correctly. what fractions and demical presents the fraction of questions Arpan answered correctly?
Answer:
97/100 i think
Step-by-step explanation:
Which statement is not true about the absolute value of -6?
A. It describes the distance between 6 and -6 on the number line
B. It equals the absolute value of 6
C. It describes the distance between -6 and 0 on the number line
D. It can be expressed as |-6|.
Answer:
A.
Step-by-step explanation:
The distance between 6 and -6 on a number line is not the absolute value of -6.
Answer:
the answer is A
Step-by-step explanation:
Jen ran for 10 minutes with the speed of 6 mph and then walked for 30 minutes at a speed of 3 miles per hour. What is the total distance covered by Jen?
Answer:
2.5 miles
Step-by-step explanation:
Jen ran for 10 minutes. This is 1/6 of an hour.
1/6*6=1
He covered 1 mile in that 10 minutes.
Jen then walked for 30 minutes. This is 1/2 of an hour.
1/2*3=1.5
He covered 1.5 miles in that 30 minutes.
1+1.5=2.5
The total distance covered by Jen is 2.5 miles.
Answer:
2.5
Step-by-step explanation:
A tourist on vacation went scuba diving at a depth where 0.0871 l of gas in his blood is under 12.0 atm of pressure if he instantly boards a plane where his blood will be under 1.50 atm of pressure what will be the volume of gas in his blood
Answer:
0.6968 L
Step-by-step explanation:
We can calculate the resulting volume thanks to Boyle's Law, which tells us The volume is inversely proportional to the pressure:
• If the pressure increases, the volume decreases.
• If the pressure decreases, the volume increases.
Thus:
P1V1 = P2V2
We know that P1 = 12 atm, V1 = 0.0871 L and P2 = 1.5 atm, that is, the value that we do not know about V2, therefore we solve for V2:
V2 = P1V1 / P2
Replacing:
V2 = 12 * 0.0871 /1.5
V2 = 0.6968 L
Which makes sense, since decreasing the pressure increases the volume.
All I need to know is if I picked the right one!
Answer:
No! The answer is not zero. There can be infinite solutions for this equation.
Hope it helps!
Answer:
no
Step-by-step explanation:
there can be more solutions ( infinite) as x could be either negative and positive...
Find the distance between (3,0) and (8,12)
Answer: 13
math-way is helpful with problems like these.