Answer:
the distance between them is decreasing at a rate of 2 mph.
Step-by-step explanation:
List all given rates and the unknown rate.
Write the formula that relates the variables in the problem: x, y, and s.
There’s a right triangle in the diagram, so you use the Pythagorean Theorem:
For this problem, x and y are the legs of the right triangle, and s is the hypotenuse, so
Differentiate with respect to t.
Use the Pythagorean Theorem again to solve for s.
x = 0.4
y = 0.3
You can reject the negative answer because s obviously has a positive length. So s = 0.5.
Now you’ve got everything you need to substitute into the differentiation result and solve for ds/dt.
This negative answer means that the distance, s, is decreasing. Thus, when car A is 3 blocks north of the intersection and car B is 4 blocks east of the intersection, the distance between them is decreasing at a rate of 2 mph.
Which of the following is equivalent to the image below
A: 6
B: 8
C: 12
D: 64
Answer: The answer is 8
Step-by-step explanation: first you solve 16 to the 1.5 power (3/2=1.5) and that gives you 64. Then 64 to the .5 power (1/2=.5) and that gives you 8.
Please try your best, but with explanation! Use the screenshot provided!
Answer:
A, D
Step-by-step explanation
A
2^2 = 4
4^2 = 16
D
2^2=4
2^4 = 16
Answer:
A and D
Step-by-step explanation:
A.) plug in 2 first then 4
2^2= 4 and 4^2= 16 so it applies
B.) does NOT apply bc 2+6=8 and not f(2)=4 and also does not equal to 16
4+6=10
C.) does NOT apply bc 4(2)+2=10 and not to 4 and also does not equal to 16; 4(4)+2=18
D.) does apply 2^2=4 and 2^4=16
Factor the expression completely.
Answer:
Factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]
Step-by-step explanation:
We need to factor the expression [tex]xy^4+x^4y^4[/tex] completely
We need to find common terms in the expression.
Looking at the expression, we get [tex]xy^4[/tex] is common in both terms, so we can write:
[tex]xy^4+x^4y^4\\=xy^4(1+x^3)[/tex]
So, taking out the common expression we get: [tex]xy^4(1+x^3)[/tex]
Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:
[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
So, we get:
[tex]xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)[/tex]
Therefor factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]
Which of the following best describes the graph below?
Answer:
The correct option is;
A. It is a one-to-one function
Step-by-step explanation:
A function f(x), is a one to one function when each value in the range is given by each unique value in the domain such that each "x" value produces a unique "y" value.
The given graph has a domain of -2 ≤ x < ∞
Within the domain plotted in the graph, all lines with equation "x" = -2, -1, 0..., 4, 5 crosses the graph only once, therefore, for each value of "x", there is only one value of "y", which gives the relationship between the "x" and "y" values as one to one function
Which set of side lengths forms a right triangle?
Group of answer choices
5 cm, 6 cm,7 cm
2 cm, 4 cm, 6 cm
8 cm, 9 cm, 11 cm
8 cm, 15 cm, 17 cm
Answer:
A. 5cm, 6cm, 7cm
Step-by-step explanation:
Of the songs and Joseph's collection 11/23 our county songs of these country songs three force or by mail artist were fraction of Llosa songs our country songs by mail artist
Answer: 33/92
Step-by-step explanation:
Here's the complete question:
Of the songs in joseph collection, 11/23 are country songs. of these country songs, 3/4 are by male artists. what fraction of joseph's songs are country songs by male artist
The fraction of the songs that are country songs by male artist would be calculated as the multiplication of 3/4 by 11/23. This would be:
= 3/4 × 11/23
= 33/92
brainly pls
What is the solution of x + 6 11
C. x –1
show your work pls
Answer:
C. x < –1
Step-by-step explanation:
What is the solution of x + 6 < 5?
A. x < 11
B. x > 11
C. x < –1
D. x > –1
-1+6<5
but you need less than 5 so
x<-1
What will be the rule?
Answer:
Step-by-step explanation:
I haven't done this in a long time so I don't know how you would write this but I will explain it.
For every 6 in puts you will get 1 out put.
also for the blank space on 42 is 7.
Hope this helps!!
Classify this triangle by its sides and angles.
-acute and scalene-
-acute and isosceles-
-right and scalene-
-right and isosceles-
Answer:
acute isosceles
Step-by-step explanation:
both legs have an equal length, and angles are less than 90º
For a second of sauce 1 and sauce 2 Andrew plans to use 3,180 green peppers and 5,560 hot chili peppers
Answer: Um ok? What are the measurements of the original batches...
Step-by-step explanation:
A photo is 12 inches tall and 16 inches wide. if it is reduced to a width of 4 in, then how tall will it be?
(Please write how to do it too) thx
Please help asap Easy algebra !!
Answer:
many solutions
Step-by-step explanation:
Barbie has a favorite number. The
quotient of her number and -4 is -90.
What is Barbie's favorite number?
Answer:
Is -4444444444
Step-by-step explanation:
Answer:
360
Step-by-step explanation:
A quotient is the result of a division problem.
We must multiply -4 and -90.
-4 • -90 = 360
(There is no - because a negative multiplied by a negative equals a positive.)
At a sale, suits were sold for $49 each. This price was 35% of a suit's original price. How much did a suit originally cost?
Answer:
Step-by-step explanation:
Hi
Answer:
140
Step-by-step explanation:
I divided 49/35 = 1.4. Now I multiplied 1.4 and 100 = 140.
solving systems of linear inequalities
Answer:
YES. (2, 7) is a solution of the system.
Step-by-step explanation:
System of linear inequalities has been given as,
y ≥ -x + 1 --------(1)
y < 4x + 2 ------(2)
If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.
By substituting the coordinates of point (2, 7) in inequality (1),
7 ≥ -2 + 1
7 ≥ -1
True.
By substituting the coordinates of point (2, 7) in inequality (2),
7 < 4(2) + 1
7 < 9
True.
Therefore, point (2, 7) lie in the solution area of system of inequalities.
YES. (2, 7) is a solution of the system.
If x+2=5 then x= What
Answer:
3
Step-by-step explanation:
5-2=3
Just do it the other way to find the answer!
I hope this helps!
Answer: x = 3
Step-by-step explanation:
we subtract 2 from both sides, in order to get the variable by itself.
x + 2 (- 2) = 5 (- 2)
x = 3
A stuffy normally costs $12, but this week it is on sale for $9. What is the Percent of Change on the stuffy?
Answer: 25%
Step-by-step explanation:
From the question, we are told that a stuffy normally costs $12, but that this week it is on sale for $9.
The Percent of Change on the stuffy will be calculated as:
= Change / Normal cost × 100
= (12 -9) / 12 × 100
= 3/12 × 100
= 1/4 × 100
= 25%
Using Joe’s triangle what is the slope of the graph
Answer:
The slope is 2.
Step-by-step explanation:
You can take the second plotted point of the graph. (2,4)
Since slope is y/x, the equation is 4/2.
4/2=2
if 72 is 40% what is 100%?
Answer:
180
Step-by-step explanation:
If 40% = 72, 100% can be found like so:
40% = 72
100% = [tex]\frac{100}{1}[/tex] * [tex]\frac{72}{40}[/tex]
You can reduce 40 and 100 by 20 (or probably more, but I'll use 20)
So now we have:
[tex]\frac{50}{1}[/tex] * [tex]\frac{72}{20}[/tex] = [tex]\frac{3600}{20}[/tex]Divide, and you get 180.
To check, we can find 40% of 180.
(I looked it up)
Hope this helps!
plzzzzzzzzzzzzzzzzzzz
Answer:
70x
Step-by-step explanation:
8x8 = 64x then +6x = 70x
Answer:
[tex]2x(4x+3)[/tex]
Step-by-step explanation:
The first thing to factorising this expression is to find the greatest common factor (GCF). For 8x² and 6x the gcf is 2x. So now we divide the 8x² and 6x by the 2x. Which comes out to 4x and 3, these will be inside the parentheses.
So it'll factorise to [tex]2x(4x+3)[/tex] and remember when we are dividing with exponents we subtract the exponents. So [tex]\frac{8x^2}{2x}[/tex] we will divide the coefficients together that'll be 4 and now for the exponents the 2 on the x² minus the 1 on the x will equal 1 so it'll be just x we don't place a one or anything.
Which one is correct please hurry..the audio is just reading the question
Answer:
3/29
Step-by-step explanation:
Step-by-step explanation:
ahsjsjsjajajajjahajaiaiaijzjsbwbw
A flagpole that is 9 feet high casts a shadow 12 feet long. At the same time, a house casts a shadow 32 feet long. If the right triangle formed by the flagpole and its shadow is similar to the right triangle formed by the house and its shadow, what is the approximate height, in feet, of the house?
A.
16
B.
20
C.
24
D.
26
Esma and Hunter were trying to solve the equation:
? + 8x = 22 - 8
They both agreed they should first subtract 2x and add 8 to both sides and rewrite the equation as
2? + 6x + 8 = 0.
Then Esma said, "I can complete the square. I can add 1 to both sides to rewrite this equation as
32 +63 +9 = 1, factor, and solve using square roots."
Hunter said, "I'll factor the left-hand side of the equation as (+ + 2)(x + 4) and solve using the zero
product property."
Whose solution strategy would work?
Choose 1 answer.
A. Only Esma's
B. Only Hunter's
C. Both
D. Neither
Answer: both esmas and hunters strategies work
Step-by-step explanation:
Answer:
both
Step-by-step explanation:
Decide if the following equation is growth or decay?
y = 475 (0.256)
Decay
Growth
4 Isabel is designing a new fish tank that is shaped like a triangular prism with lateral faces made of glass. A model of the fish tank and its dimensions are shown below. 10 in 8 in 1 6 in 8 in What is the lateral surface area of Isabel's fish tank?
Answer: 192 in2
AL=(a+b+c)h=(10+8+6)·8=192
Is the following sequence arithmetic, geometric, or neither?
-6, -2, 2, 6, 10, ...
Answer:
gay lol lol
Step-by-step explanation:
wesd yessir gay mf
Kim's hair grows at the rate of 1 2 inch per month. How many months will it take for her hair to grow 12 inches?
Answer:
24 months
Step-by-step explanation:
The computation of the number of months taken to grow 12 inches is as followS:
Given that
It takes half inches per month
i.e.
0.5 inches ........... 1 month
12 inches .......... ?
So for 12 inches it would take
= 12 inches ÷ 0.5 inches × 1 month
= 24 months
To find the quotient 3/4 / 1/8
Answer:
6 i think
Step-by-step explanation:
Answer:
24/4 or 6
Step-by-step explanation:
3/4 / 1/8
flip the 1/8 and the sign
3/4x8/1
3x8=24
4x1=4
PLS HELP ME WITH THIS !!
Element X is a radioactive isotope such that every 51 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 7500 grams, how long would it be until the mass of the sample reached 6900 grams, to the nearest tenth of a year?
Answer: It will take 6 years for 7500 grams of X to reach 6900 grams.
Step-by-step explanation:
Expression for rate law for first order kinetics is given by:
[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]
where,
k = rate constant
t = age of sample
a = let initial amount of the reactant
a - x = amount left after decay process
a) for completion of half life:
Half life is the amount of time taken by a radioactive material to decay to half of its original value.
[tex]51=\frac{0.69}{k}[/tex]
[tex]k=\frac{0.69}{51}=0.0135years^{-1}[/tex]
b) for 7500 g to reach to 6900 g
[tex]t=\frac{2.303}{0.0135}\log\frac{7500}{6900}[/tex]
[tex]t=6years[/tex]
It will take 6 years for 7500 grams of X to reach 6900 grams.