Answer:
Step-by-step explanation:
5 nights
The family have to stay 5 nights in order to cost the same amount of money.
Function in one variable:Let us consider that family is staying for x night.
Given that, Option A costs $479 per night and includes airfare in the cost.
So that, [tex]A(x)=479x[/tex]
Also Option B costs $129 per night but will cost your family $1750 in airfare.
So that, [tex]B(x)=129x+1750[/tex]
for the cost of same amount of money,
[tex]A(x)=B(x)\\\\479x=129x+1750\\\\479x-129x=1750\\\\350x=1750\\\\x=1750/350=5[/tex]
The family have to stay 5 nights in order to cost the same amount of money.
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At the beginning of a snowstorm, Sydney had 11 inches of snow on her lawn. The
snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow
was melting, how much snow would Sydney have on her lawn 3 hours after the snow
began to fall? How much snow would Sydney have on her lawn after t hours of snow
Answer:
12.5in.
x=.5t+11
Step-by-step explanation:
First of all, create the equation so you can solve both questions at once. We know that Sydney had eleven inches of snow on her lawn, and it doesn't dissapear, so it starts with x=11. Then every hour she gets .5 inches per hour, and the amount of hours is t, so that will translate to .5t. that makes the equation x=.5t+11. To find out how much she would have in three hours, substitute 3 for t, which which goes like this: x=.5(3)+11
x=1.5+11
x=12.5
Answer:
Snow after 3 hours: 12.5
Snow after t hours: 11+0.5t
what is the solution of the equation? 3(y-5)+2=5
Answer:
Y=- 6
3(y-5)+2=5
multiply
3y-15+2=5
add
3y-13=5
add pos 13 to the neg 13 to
cancel it out and add +13 to 5
3y=18
divide -3 to pos 3 and 18 to cancel it out
y= -6
h(x)=x^2+1 k(x)=x-2
(h+k)(2)=
(h-k)(3)=
Evaluate 3h(2)+2k(3)=
(h + k)(2) = 5
(h - k)(3) = 9
evaluate 3h(2) + 2k(3) = 17
The composition of functions is solved
a) ( h + k ) ( 2 ) = 5
b) ( h - k ) ( 3 ) = 9
c) 3h ( 2 ) + 2k ( 3 ) = 17
What is Composition of functions?Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Given data ,
Let the first function be represented as f ( x )
Now , the value of f ( x ) is
h ( x ) = x² + 1
Let the second function be represented as g ( x )
Now , the value of g ( x ) is
k ( x ) = x - 2
Now , the composition of function is
To calculate (h+k)(2), we substitute x = 2 in both h(x) and k(x), add them together and simplify:
h(2) = 2² + 1 = 5
k(2) = 2 - 2 = 0
(h+k)(2) = h(2) + k(2) = 5 + 0 = 5
To calculate (h-k)(3), we substitute x = 3 in both h(x) and k(x), subtract k(x) from h(x), and simplify:
h(3) = 3² + 1 = 10
k(3) = 3 - 2 = 1
(h-k)(3) = h(3) - k(3) = 10 - 1 = 9
To evaluate 3h(2)+2k(3), we substitute x = 2 and x = 3 in h(x) and k(x), respectively, and simplify:
3h(2) + 2k(3) = 3(5) + 2(3-2) = 15 + 2 = 17
Therefore , ( h + k ) ( 2 ) = 5 , ( h - k ) ( 3 ) = 9, and 3h( 2 ) + 2k( 3 ) = 17
Hence , the composition of functions is solved
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what value does the 2 represent in the number 168,526
Answer:it is the tens place
Step-by-step explanation:
Answer:
2 represents the the tenths place
Step-by-step explanation:
You have 168,526 remember your tenth hundred and thousands 2 is in the tenth place that is what represents
Hope that answers ur question
Solve for x. 95=35 Express the answer to the hundredths place (i.e., two digits after the decimal point).
Answer:
[tex]x = 1.28[/tex]
Step-by-step explanation:
Given
[tex]95 = 35^x[/tex]
Required
Solve for x
[tex]95 = 35^x[/tex]
Take Log of both sides
[tex]Log95 = Log35^x[/tex]
Apply law of logarithm
[tex]Log95 = xLog35[/tex]
Divide both sides by Log35
[tex]x = \frac{Log95}{Log35}[/tex]
[tex]x = \frac{1.97772360529}{1.54406804435}[/tex]
[tex]x = 1.28085262338[/tex]
Approximate
[tex]x = 1.28[/tex]
A television with a 6:4 screen shows an image with a ratio of 6:5 which creates a letter boxed image. What percent of the screen’s area is occupied by the image? 1.25% 80% 20% 400%
Answer:
i hope this is the right answer 1.25%
Step-by-step explanation:
6:4 and 6:5 is one away from each other so it must me 1.25%
Jaquarius has a pair of limited edition Jordan tennis shoes that are 12 inches long each. What is the total length of both of his shoes in feet?
Answer:
Total length of shoes in feet = 2 feet
Length of each shoe = 1 feet
Step-by-step explanation:
Given:
Length of each shoe = 12 inches
Find:
Total length of shoes in feet
Computation:
Total length of shoes = [12 + 12] inches
Total length of shoes = 24 inches
12 inches = 1 feet
Total length of shoes in feet = 24 / 12
Total length of shoes in feet = 2 feet
Length of each shoe = 1 feet
What is 1.13 with 13 repeating as a fraction
Answer:
x = 17/15 or 1 2/15
Step-by-step explanation:
I got it directly from Khan
(-5) (-10) what does this equal
Answer:
50
Step-by-step explanation:
When parethesis are next to each other than you need to multiply them.
- times - is positive so -5*--10 would be 50.
write an equation for the difference of p and 4
Answer:
p-4
Step-by-step explanation:
Difference means subtraction
p-4
Answer: p - 4
Explanation: The word difference tells us that we need to subtract.
So the difference between p and 4 can be represented as p - 4.
If M2BAC = (3x – 1)º, m_chD = (6x + 10)°, m2DAE (2x + 6)°, and m_BAE = 103°, then find the mZCAD
Answer:
mZCAD=310°
Step-by-step explanation:
M2BAC=1,m2DAE=3 and m-BAE=0 therefore solution will be 310°
Which number is the same distance from 0 on a number line as 3/2 answers -3 -3/2 -2/3 2/3 3
Answer:
-3/2
Step-by-step explanation:
You are going a distance of 3/2 to the right, to get 3/2. You are going the same distance of 3/2 to the left, to get -3/2. Same distance traveled on a number line, just in different directions making it positive/negative.
How is mulhplying intergers
Similar to multiplying whole
numbers?
Answer:
Multiplying integers is similar to multiplying whole numbers because integers are whole numbers. An integer is a whole number that is not a fraction.
Hope This Helps :)
what does this sideways E stands for in alg 2 ?
Answer:
The sideways E is used for indcating that a point, object, or number belongs to a certian set.
Step-by-step explanation:
Which angles are congruent to each other?
Answer:
<8 and <6 are congruent to each other.
Step-by-step explanation:
A protractor was used to determine the answer. They both measured to 140 degrees.
the difference of a number k and 8.1 is greater than 24
Difference means subtract.
Set up the equation:
K - 8.1 > 24
Solve for k by adding 8.1 to both sides:
K > 32.1
How do you evaluate 6-2
Answer:
4
Step-by-step explanation:
6 - 2 = 4
What is the equation of the line that passes through the point (-2,-2) and
has a slope of 42
Answer:
The answer is
[tex]y = 42x + 82[/tex]Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (-2,-2) and slope 42
The equation of the line is
[tex]y + 2 = 42(x + 2) \\ y + 2 = 42x + 84 \\ y = 42x + 84 - 2[/tex]
We have the final answer as
[tex]y = 42x + 82[/tex]
Hope this helps you
Please Please help! I am so beyond stuck. I have figured out what is wrong with the first step but I cant figure out what is going on with the second one!
Answer:
[tex]x<-\frac{1}{2}\text{ or } x>1[/tex]
Step-by-step explanation:
So we have the equation:
[tex]|-4x+1|>3[/tex]
First, note that since the sign is greater than, this is an or inequality (not an "and" inequality). This is the student's first mistake.
So, let's solve this inequality.
Case 1:
[tex]-4x+1>3[/tex]
Subtract 1 from both sides:
[tex]-4x>2[/tex]
Divide both sides by -4:
[tex]x<-\frac{1}{2}[/tex]
The student did not flip the sign when doing this step, hence the incorrect answer.
You correctly spotted the student's mistake. Nicely done!
Case 2:
[tex]-4x+1<-3[/tex]
This is what you're missing: for this second instance, we must flip the sign to less than right away. This is because we are essentially multiplying the 3 by a negative. So, we must flip the sign in order to be correct.
Now solve. Subtract 1 from both sides:
[tex]-4x<-4[/tex]
Divide both sides by -4. Since we're dividing by a negative, flip the sign:
[tex]x>1[/tex]
So, our solutions are:
[tex]x<-\frac{1}{2}, x>1[/tex]
As mentioned previously, this is an or inequality. Therefore, our final answer is:
[tex]x<-\frac{1}{2}\text{ or } x>1[/tex]
Edit: Improved Answer
What is the first step when adding the fractions 2/5+7/10
Answer:
firs find the least common multiple (LCM) of the denominators
Step-by-step explanation:
2/5+7/10
Multiples of 5 = {5,10,15,20,25,30,35...}
Multiples of 10 = {10,20,30,40,50...}
Common multiples = {10,20,30,...}
Least Common Multiples = {10}
2/5+7/10
= 2(2) + 7(1)
= 11/LCM
But the LCM = 10
11/10
Setup an equation then find x
Answer: 2
Step-by-step explanation:
−6x+2x−5+2: simplified
Answer:
-4x-3
Step-by-step explanation:
all you do is combine like terms: -6x+2x=-4x and -5+2=-3
so the answer would be -4x-3
Help i dont understand this please help :(
Answer:
-16
Step-by-step explanation:
-5(4)+2
-18+2
-16
Give the most appropriate reason for using three significant figures in reporting results of typical engineering calculations.a. Three significant figures gives better than one-percent accuracy. b. Most of the original data used in engineering calculations do not have accuracy better than one percent. c. Historically slide rules could not handle more than three significant figures. d. Telephone systems designed by engineers have area codes consisting of three figures
Answer:
The answer is "Option b".
Step-by-step explanation:
In the calculation of engineering or modeling, it is used to assess its necessary system, that performance, and also used to evaluate the distribution network adjustments, which is used to accommodate the slew of other distribution network adjustments, that's why except "choice b" all were incorrect.
The expression (q16)(q−5)2 is equivalent to qn. What is the value of n? 42 22 -160 13
Answer:
22
Step-by-step explanation:
In order to get one of the answer choices, it appears we need to interpret your input as ...
[tex](q^{16}q^{-5})^2 = (q^{16-5})^2=q^{11\cdot 2}=q^{22}[/tex]
The value of n is 22.
__
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
Answer:
6
Step-by-step explanation:
Add 15,7,.5 PLEASE WILL MARK U BRAINLEST PLEASE HELP
Answer:
27
Step-by-step explanation:
15+7=22+7=22
Answer: 27
Step-by-step explanation:
15+7=22
22+5=27
I hope this helped!!
Question 3
4
If JL = 9x - 5, LR = 7x - 2, and JR = 35, find JL. Round your answer to the nearest tenth.
Answer:
JL = 166 units
Step-by-step explanation:
Given that,
JL = 9x - 5, LR = 7x - 2, and JR = 35
Let us assume that, R is the midpoint of J and L. So,
JL = JR + RL
Putting all the values,
9x - 5 =35 + 7x - 2
Taking like terms together as follows :
9x-7x = 33 + 5
2x = 38
x = 19
Put the value of x inm, JL = 9x-5
JL = 9(19)-5
JL = 166
The value of JL is 166 units.
Write 2^-3 in word form
Answer:
two raised to the power of -3
Two to the power of negative 3
Step-by-step explanation:
[tex]2^-^3 = \frac{1}{2^3}[/tex]
1 divided by 2 to the power of 3
[tex] \frac{3}{4} x + \frac{5}{6} = 5x - \frac{125}{3} [/tex]
Answer:
nos agoi o se
Step-by-step explanation:
Answer:
[tex]\boxed{\bold{\huge{\boxed{x = 10}}}}[/tex]
Step-by-step explanation:
=> [tex]\sf \frac{3}{4} x + \frac{5}{6} = 5x - \frac{125}{3}[/tex]
Combining like terms
=> [tex]\sf \frac{3x}{4} - 5x = -\frac{125}{3} - \frac{5}{6}[/tex]
Taking LCM to make the denominator same
=> [tex]\sf \large{\frac{3x-20x}{4} = \frac{-250-5}{6} }[/tex]
=> [tex]\sf \frac{-17x }{4} = \frac{-255}{6}[/tex]
=> [tex]\sf \frac{17x }{4} = \frac{255}{6}[/tex]
Cross Multiplying
=> [tex]\sf 17x * 6 = 4 * 255[/tex]
=> [tex]\sf 102x = 1020[/tex]
Dividing both sides by 102
=> x = 10
Determine the number of degrees for the angle in section B of the pie chart . Round to the nearest whole degree Please assist me
Answer:
115°
Step-by-step explanation:
Measure of the degree of the angle represented by section B on the chart = percentage in the pie chart ÷ 100 × 360. A full circle makes 360°.
Section B represents 32% of the pie chart, therefore, number of degrees for section B = [tex] \frac{32}{100}*360 = \frac{32*360}{100} [/tex]
[tex] = 115.2 [/tex]
Section B = 115° (to the nearest whole number)