The total time taken for round trip will be (f+g)(x) = 14x+11
We have given that
f(x)=4x+13and g(x)=10x-2
What is the round trip time?In order to find the round-trip time, we have to add both functions to represent the time taken to travel east and the time taken to travel to west.
Therefore we get,
[tex](f+g)(x)=f(x)+g(x)\\ =(4x+13)(10x-3)\\ =4x+13+10x-2\\ =4x+10x+13-2\\ =14x+11[/tex]
Hence,The total time taken for round trip will be: (f+g)(x) = 14x+11
To learn more about the function visit:
https://brainly.com/question/25638609
Name the polygon that has one angle measuring 90° and the others measuring 45° each.
Answer:
right angle
Step-by-step explanation:
pls answer my question
Answer:
There is no regular polygon satisfying this condition, however a right angled isosceles triangle can be the ans to this question.
Step-by-step explanation:
Logical thinking
HELP? PLEASE!??? for brianlest
Answer:
Step-by-step explanation:
Total zigzag = 5 + 5 = 10
5 zigzag made of velvet
Probability of zigzag made of velvet = 5/10 = 1/2
I guess this is the answer. 1/2
Answer:
5/17
Step-by-step explanation:
number of zigzag AND velvet (5) over the total number of bow ties (17)
A function f gives the number of stray cats in a town t years since the town started
an animal control program. The program includes both sterilizing stray cats and finding homes to adopt
them. An equation representing f is f(t) = 243(3)'.
What is the value of f(t) when t is 0? Explain what this value means in this situation?
Answer:
f(0) = 243 . . . cats at the start
Step-by-step explanation:
The exponential function tells you the number of cats after t years is ...
f(t) = 243(1/3)^t
When t=0, the exponential factor is 1, so the value of the function is the multiplying constant.
f(0) = 243
This means there were 243 stray cats in town when the animal control program started.
2x+4y=60 and y=x+3 i need a answer quick
It is asking for the intercept.
y = x + 3 becomes y - x = 3
multiply it by two, so it becomes -2x + 2y = 6. Then add it to the other equation, and solve for y.
2x + 4y = 60
(2x + 4y) + (-2x + 2y) = 60 +6
6y = 66
y = 11
Plug in the known y into the the easiest equation.
11 = x +3
x = 8
Intercept: (8, 11)
brainliest to the right answer
Step-by-step explanation:
again, in a geometric sequence every term is created by mutilated the previous term by a constant factor.
-192 × f = 48
f = 48/-192 = -1/4
here it seems to be clear now that your teacher starts counting at a1 (and not a0).
a1 = -192
a2 = a1 × -1/4 = -192 × -1/4 = 48
a3 = a2 × -1/4 = a1 × -1/4 × -1/4 = -192 × 1/16 = -12
an = -192 × (-1/4)^(n-1)
a6 = -192 × (-1/4)⁵ = -192 × -1/1024 = 3/16
Translate in two ways each of these statements into logical expressions using predicates, quantifiers, and logical connectives. First, let the domain consist of the students in your class and second, let it consist of all people.
a) Someone in your class can speak Hindi.
b) Everyone in your class is friendly.
c) There is a person in your class who was not born in California.
d) A student in your class has been in a movie.
e) No student in your class has taken a course in logic programming.
Answer:
a) Someone in your class can speak Hindi.
Step-by-step explanation:
The statements into logical expressions using predicates, quantifiers, and logical connective is shown below.
What are Quantifier and Predicate?The property (or properties) that a variable or subject might have are described by a predicate or propositional function. By giving the variable a value or by quantification, a proposition can be made from a propositional function.
a) Someone in your class can speak Hindi.
∃x (H(x))
and, ∃x (S(x) ^ H(x))
b) Everyone in your class is friendly.
∀ x (F(x))
and, ∀ x (S(x) --> F(x))
c) There is a person in your class who was not born in California.
∃x (~C(x))
and, ∃x (S(x) ^(~C(x))
d) A student in your class has been in a movie.
∃x (M(x))
and, ∃x (S(x) ^ M(x))
e) No student in your class has taken a course in logic programming.
∀ x (~L(x))
and, ∀ x (S(x) --> ~L(x))
Learn more about Quantifier and Predicate here:
https://brainly.com/question/17218540
#SPJ2
Nick found the quotient of 8.64 and 1.25 × 105. his work is shown below. 1. (8.64 × 101) (1.25 × 105) 2. (8.64 1.25 ) (101 105 ) 3. 6.912 × 10–4 analyze nick’s solution. is he correct? if not, what was his mistake? yes, nick is correct. no, the power multiplied to 8.64 should have an exponent of 0. no, he needed to subtract the coefficients. no, he needed to add the exponents.
The answer will be the power multiplied to 8.64 should have an exponent of 0.
What is the mistake done by Nick?The given expressions are
[tex]=\dfrac{8.64\times 10^1}{1.25\times 10^5}[/tex]
[tex]=(\dfrac{8.64}{1.25}) (\dfrac{10^1}{10^5} )[/tex]
[tex]=6.912\times10^{-4}[/tex]
The power of the number multiplied to 8.64 is 1 which will make it 86.4
So this power of the number should be 0
Thus the answer will be the power multiplied to 8.64 should have an exponent of 0.
To know more about Quotient follow
https://brainly.com/question/673545
Answer:
B
Step-by-step explanation:
No, the power multiplied to 8.64 should have an exponent of 0.
Group A and Group B were randomly sampled from the same population. A double box plot showing group A on the top and group B on the bottom. For group A, the left end mark is at 1, the left edge of the box is at 3, the line inside the box is at 4, the right edge of the box is at 5, and the right end mark is at 7 point 5. For group B, the left end mark is at 3, the left edge of the box is at 4, the line inside the box is at 5, the right edge of the box is just past 5, and the right end mark is at 7 point 5. Select all the inferences that you can make. Group B has a higher median than Group A. Group B has a higher mean than Group A. Group B has more overall variability than Group A. Group B has a smaller range than Group A. Group A and B have the same maximum value
We can conclude the following about the box plots:
Group A had lower median than group B. Group B has less overall variability because it has a smaller range than group A.What is Median and Range of a Data Set?Median is the middle value which is represented by a vertical line that divides the rectangular box in a box plot.
Median for Group A is smaller than the median of Group B.
Range of a data set is the difference between the maximum value and the minimum value. Range is a measure of variability. The bigger the range, the more the variability and vice versa.
Range of Group A is larger than range of Group B.
Therefore, we can conclude the following about the box plots:
Group A had lower median than group B. Group B has less overall variability because it has a smaller range than group A.Learn more about median and range on:
https://brainly.com/question/14277132
Which property can be used to expand the expression
the associative property
the commutative property
the distributive property
the additive identity property
Answer:
the distributive property
Answer: distributive property
Step-by-step explanation:
Work out
(6.7 x 10^2) + (9 x 10^3)
Х
Give your answer in standard form
HELP QUIKCLY PLEASE DKNT SOAMM IM BEGGING
Jonah runs a bakery, and his most popular item is cinnamon raisin bread. He has two options to purchase raisins.
Grocery store: 9 ounces for $3.75
Bulk order: 5 pounds for $15.25
If Jonah buys the raisins in bulk, what is his savings per ounce? (16 ounces = 1 pound.)
A. $0.11/ounce
B.$0.14/ounce
C. $0.19/ounce
D.$0.23/ounce
Answer:
C. $0.19/ounce
Step-by-step explanation:
We know that 16 ounces = 1 pound but we have 5 pounds,
So, we do 5 times 16.
We get 80 (ounces) and we divided ounces by total cost ($15.25)
We get our answer:
$0.19/ounce
A rectangular prism has length of 10.4 millimeters, width of 5 millimeters, and height of 8 millimeters.What is the volume of the rectangular prism
Answer:
416mm^3
Step-by-step explanation:
volume = length x width x height
= 10.4 x 5 x 8
=416
From a hot-air balloon, Daniel measures a 33^{\circ} ∘ angle of depression to a landmark that’s 1579 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.
The balloon’s vertical distance above the ground is 860.0 ft
Right angle triangle:Right angle triangle are triangle that has one of its sides as 90 degrees. The side of the triangle can be found using trigonometric ratios. Therefore,
The horizontal distance from the landmark tot he hot balloon is 1579 feet and it is the hypotenuse side of the triangle formed. Therefore, the vertical height is the opposite sides.
Using trigonometric ratio,
sin 33° = opposite / hypotenuse
sin 33° = x / 1579
cross multiply
x = 1579 × sin 33
x = 1579 × 0.54463903501
x = 859.985036289
x = 860.0 ft
learn more on right triangle here: https://brainly.com/question/25843163
If y varies inversely as x and y = 18 when x = 4, what is y when x = 24? a. 12 b. 6 c. 3 d. 16.
Answer:
[tex]\huge\boxed{\sf y = 3}[/tex]
Step-by-step explanation:
Given that:
[tex]\displaystyle y \propto \frac{1}{x}[/tex]
Converting proportionality into equality
[tex]\displaystyle y = \frac{k }{x}[/tex] ------------------------- (1)
We know that:
y = 18 when x = 4
Put in Eq. (1)
[tex]\displaystyle 18 = \frac{k}{4} \\\\Multiply \ 4 \ to \ both \ sides\\\\18 \times 4 = k\\\\72 = k\\\\ \boxed{k = 72}[/tex]
Now,
y = ? when x = 24
Put in Eq. (1)
[tex]\displaystyle y = \frac{72}{24} \\\\\boxed{y = 3}[/tex]
[tex]\rule[225]{225}{2}[/tex]
The length and width of a box are 4 in. The volume is 48 in. ^3
What is the height of the box?
Answer:
WIDTH ‘W’ = 8 in; LENGTH = 11 in AND HEIGHT = 6 in
Step-by-step explanation:
VOLUME = (W+3)*(W-2)*W = 52
W*(W^2 +W - 6) = 525
SOLUTION BY TRIAL & ERROR
TRIAL 1 : LET W = 5; 5(25+5–6) = 120
TRIAL 2 : LET W=10; 10(100+10–6) = 1040
TRIAL 3 : LET W = 8; 8(64+8–6) = 528 OK
ANSWER WIDTH ‘W’ = 8 in; LENGTH = 11 in AND HEIGHT = 6 in
A line passes through the points (-5,-6) (-4,-4) write An equation for the line in point slope form
Answer: y+4=2(x+4)
Step-by-step explanation:
Veronica has to multiply 398 x 18. She says she can multiply 400 X 18 and then take
away one group of 18.
Write an expression that shows Veronica's thinking
Answer:
See below. Veronica's thinking is incorrect. I've included what she is thinking, but the correct thinking is more useful, as noted below.
Step-by-step explanation:
398 is 2 less than 400. Veronica needs to remove two groups of 18.I don't know what Veronica is thinking, other than:
(398 x 18) = (400*18 - 18)
She should be thinking:
(398 x 18) = (400 x 18) - (2*18). The "2" is for the two extra groups of 18 that she will have when multiplying 400 x 18, instead of 398 x 18.
0.27 recurring as a fraction
Answer:
Step-by-step explanation:
first you have to divide then after you divide you should get the answer
Can someone help me for problem 23
ASAP HELP! Look how much im offering, congruent shapes.
Subject:
Congruent Shapes.
Q3
Answer:
D. 7.5 inches
Step-by-step explanation:
So, we can find the ratio of the big triangle to the small one by dividing the values of the hypotenuse.
So, 18/6 = 3
Big:small = 3:1
So, using this we can make an equation to find AD.
Let's say ED=x.
AD is basically ED (x) + AE (5).
Since ED is part of the small triangle, and AD is part of the big one, we can use the 3:1 ratio from above.
So, [tex]\frac{x+5}{x}[/tex]=3.
Multiply both sides by x, getting x+5 = 3x.
Subtract the x: -x -x
And you get 5=2x, giving you 2.5 = x.
However, we're not done yet, as 2.5 is the value of ED, but we need AD.
Remember, AD is = ED + AE.
So, AD = 2.5 + 5.
Finally, AD = 7.5
A pair of pants is discounted 25%. They now cost $104.25. What was the price before the discount.
Answer:
a pair of pants regularly cost $68 the pants are on sale for 45% of the original price how much will the discount be the answer will be $108.42
(4^-1)(2^3 divided by 4^-2)
Answer:
D
Step-by-step explanation:
25x^2-40x+16
please help me ahhh i need this im failing algebra bc im missing assignments
12-14 is equally to 2 and here is the answer
4 5/6 + 3 5/6. Write your answer as a mixed number in the simplest form.
Answer:
8 2/3
Step-by-step explanation:
you change them to mixed fractions first which will be
29/6 + 23/6
29+23 all over 6
= 52/6
= 26/3
=8 2/3
It takes 12 hours to clean the windows of a certain office building. During the
first day of cleaning, the workers were able to clean for 9 hours. If the variable
t stands for the amount of time the workers have left to clean the windows,
which of the following choices is the most reasonable value for ?
O A. 20 hours
O B. 3 hours
O C. 1 hour
O D. 30 hours
Answer:
B: 3 hours
Step-by-step explanation:
Since we know that it takes 12 hours to clean the windows and the cleaners were only able to clan for 9 hours, we just subtract 9 from 12 which gives us the answer:3Hours.
Answer:
B.3hours
Step-by-step explanation:
12-9=3
so the letter T is=3
(Please someone help me!) (No links!)
Answer:
Equation 1 matches with number 9.
Equation 2 matches with number 7.
Equation 3 matches with number 1.
Equation 4 matches with number 3.
Equation 5 matches with number 5.
Step-by-step explanation:
Equation 1: −9x > −9
−9x > −9
Divide both sides by −9.
-9x/-9 = -9/-9
Since −9 is negative, the inequality direction is changed.
x < 1
x < 1 matches with the graphed solution of number 9.
So, Equation 1 matches with number 9.
Equation 2: 2x + 6≥ −2
2x + 6≥ −2
Step 1: Subtract 6 from both sides
2x + 6 − 6 ≥ −2 − 6
2x ≥ −8
Step 2: Divide both sides by 2
2x/2 ≥ −8/2
Step 3: Simplify
x ≥ -4
x ≥ -4 matches with the graphed solution of number 7.
So, Equation 2 matches with number 7.
Equation 3: x − 9 < −5
x − 9 < −5
Step 1: Add 9 to both sides.
x − 9 + 9 < −5 + 9
Step 2: Simplify
x < 4
x < 4 matches with the graphed solution of number 1.
So, Equation 3 matches with number 1.
Equation 4: −6x < −12
−6x < −12
Divide both sides by -6
-6x/-6 < -12/-6
Since −6 is negative, the inequality direction is changed
x > 2
x > 2 matches with the graphed solution of number 3.
So, Equation 4 matches with number 3.
Equation 5: -7x + 20 > 55
-7x + 20 > 55
Step 1: Subtract 20 from both sides.
−7x + 20 − 20 > 55 − 20
Step 2: Simplify
−7x > 35
Step 3: Divide both sides by -7.
-7x/-7 > 35/-7
Step 4: Simplify
x < -5
Since −7 is negative, the inequality direction is changed
x < -5 matches with the graphed solution of number 5.
So, Equation 5 matches with number 5.
Hint: less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠)
A deli sells sandwich spread 6.40 per pound. How much do you pay for 24 ounces
Answer:
$9.60
Explanation: Take the 24 ounces and divide that by 16 to get 1.5 pounds. Then multiply 6.40 by 1.5 and you get the answer of $9.60
Find the first four terms of the recursive sequence defined by the following formula: an = an-1 4 where a4 = 2 1 4 , , , 2 1 4.
The first four-term of the sequence is found by the given equation [tex]a_{n-1} = 4a_n[/tex] is given as 144, 36, 9, and 9/4.
What is a sequence?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
The given equation will be
[tex]\rm a_n = \dfrac{a_{n-1}}{4} \\\\a_{n-1} = 4a_n[/tex]
And
[tex]a_4 = 2 \dfrac{1}{4} = \dfrac{9}{4}[/tex]
For n = 4, we have
[tex]\rm a_{4-1} = 4a_4\\\\a_3 \ \ \ = 4*\dfrac{9}{4} \\\\ a_3 \ \ \ = 9[/tex]
For n = 3, we have
[tex]\rm a_{3-1} = 4a_3\\\\a_2 \ \ \ = 4*9 \\\\ a_2 \ \ \ = 36[/tex]
For n = 2, we have
[tex]\rm a_{2-1} = 4a_2\\\\a_1 \ \ \ = 4*36 \\\\ a_1 \ \ \ = 144[/tex]
More about the sequence link is given below.
https://brainly.com/question/21961097
Answer:
144
36
9
Step-by-step explanat
Tehara has read 115 pages of a 305-page book. She reads 10 pages each day. How many days will it take to finish?
Answer:
19
Step-by-step explanation:
115+10P=305
305-115=190
190/10=19
Find (f -9)(x) where f(x) = -x2, g(x) = -(x + 4)2
Answer:
2x^2 +11
Step-by-step explanation:
2x^2 +11
Step-by-step explanation:
(x) = 3 x^2 + 2
g(x) = x^2 - 9
(f - g)(x) =3 x^2 + 2 - (x^2 - 9)
Distribute the minus sign
= 3x^2 +2 - x^2 +9
Combine like terms
= 2x^2 +11