Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{45 - 21h}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{7(5 - 3h)}[/tex]
Distribute 7 through the parentheses
[tex] \dashrightarrow{ \sf{7 \times 5 - 7 \times 3h}}[/tex]
[tex] \dashrightarrow{ \sf{45 - 21h}}[/tex]
Hope I helped!
Best regards! :D
Answer:
14h
Step-by-step explanation:
7(5-3h)
you do distributive property on the first step.
35-21h
then you subtract the two.
14h is your answer.
"759,993 rounded to the nearest hundread
Answer:
760,000
Step-by-step explanation:
759,993
we round 993 up to 1,000
Find the area of a right triangular region whose sides containing the right angles are 20m and 15m.
Answer:
Step-by-step explanation:
You have everything you need to find the area directly
A = 1/2 * b * h
b = 20
h = 15
Area = 1/2 * 20 * 15
Area = 150 m^2
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by: P(x)=-12x^2+120x What current will produce the maximum power?
Answer:
A current of 5 amperes will produce the maximum power.
Step-by-step explanation:
Let be [tex]p(x) = -12\cdot x^{2}+120\cdot x[/tex], where [tex]p(x)[/tex] is measured in watts and [tex]x[/tex] in amperes. At first we must obtain the first and second derivatives of the function to determine the current associated with maximum power. That is:
First derivative
[tex]p'(x) = -24\cdot x + 120[/tex]
Second derivative
[tex]p''(x) = -24\cdot x[/tex]
Now, we equalize the first derivative to zero and solve it afterwards: (First Derivative Test)
[tex]-24\cdot x + 120 = 0[/tex]
[tex]x = 5\,A[/tex]
The only critical point is [tex]x = 5\,A[/tex].
As next step we need to assure that critical point leads to an absolute maximum by evaluating the critical point found above in the second derivative: (Second Derivative Test)
[tex]p(5)'' = -24\cdot (5)[/tex]
[tex]p''(5) = -120[/tex]
Which indicates that critical point leads to an absolute maximum.
A current of 5 amperes will produce the maximum power.
Answer: 5
Step-by-step explanation:
khan
Jennifer is a runner and ran a 10k last weekend. The function t=7k represents the relationship between kilometers, k, and the total running time, t. What is a reasonable range for this situation?
Answer:
We know that Jennifer ran 10k last weekend.
Now, we have the function:
t = f(k) = 7*k
(notice that this is a linear function)
First, let's define what is the range.
The range is the possible values that the outcome, t, can take.
To see the range, we first must see the domain (the possible values of of the input)
In this case, we know that the minimum value of k is 0 (the time to run 0 kilometers)
t(0) = 7*0 = 0
Here we found the minimum of the range.
Now, the maximum value in the domain is 10 (because she ran 10km, we can not have a value of k larger than 10)
The time is:
t(10) = 7*10 = 70
This will be the maximum of the range.
Then the range can be written as:
R = [0, 70]
In a regression analysis if SST = 4500 and SSE = 1575, then the coefficient of determination is:___________.A) 0.35B) 0.65C) 2.85D) 0.45
Answer:
B) 0.65
Step-by-step explanation:
In a regression analysis, the formula for the coefficient of determination (R²)=
1 - SSE/SST
SSE = Sum of squared of errors
SST = Total sum of squares
From the above question,
SST = 4500
SSE = 1575
Coefficient of determination (R²) = 1 - 1575/4500
= 1 - 0.35
= 0.65
Therefore, the coefficient of determination = 0.65
The coefficient of determination of the given parameter is (b) 0.65
The given parameters are:
[tex]SST = 4500[/tex] --- the total sum of squares
[tex]SSE = 1575[/tex] --- the sum of squares error
The coefficient of determination (R²) is calculated using the following formula
[tex]R^2 = \frac{SST - SSE}{SST}[/tex]
Substitute values for SST and SSE
[tex]R^2 = \frac{4500 - 1575}{4500}[/tex]
Simplify the numerator
[tex]R^2 = \frac{2925}{4500}[/tex]
Divide the fraction
[tex]R^2 = 0.65[/tex]
Hence, the coefficient of determination is (b) 0.65
Read more about coefficient of determination at:
https://brainly.com/question/17031457
Test Review that I cannot understand
Answer:
I will help you with the first one
Step-by-step explanation:
x= -3 -2 -1
y= -4 -3 -2.59
unit rate of the given quantities
16 skiers on 4 boats
Answer: 16/4
Step-by-step explanation: all you do is convert it into a fraction
Evaluate the expression when a=-7 and x=2.
a-6x
.
х
5
?
Answer: 15
-7 - 6 - 2
This is the same as 7 + 6 +2, but negative due to the sign.
So, -15.
Answer:
-19
Step-by-step explanation:
a-6x
(-7)-6(2)
-7-12
-19
I solved it but I am getting 30 % another friend got 40% please explain to me how and which is right. work: 4/10 =.4 .... .4 x 100 = 40 % Formula percentile over rank
Answer: C) 40th percentile
=========================================================
Explanation:
The original list is {827,691,616,740,651,772,868,557,891,937} which has 10 items inside it.
The list sorts to {557,616,651,691,740,772,827,868,891,937}
We see that there are 3 items below 691. So one way to calculate the percentile is to do 3/10 = 30% like you did for your answer.
However, the term "percentile" is ambiguous as there is another way to calculate percentile. The other method involves the term in question. So we have 4 terms in the sublist {557,616,651,691} which is how your friend got 4/10 = 40%
It's unfortunate why this term is not well defined. Ideally your teacher would state instructions on how to deal with this dilemma, or post a formula to use.
The good news is at least "30th percentile" isn't listed as an answer choice, so we can rule out the first method above.
Rufus collected 18 pounds of
aluminum cans to recycle. He
plans to collect an additional 2
pounds each week. He wants to
collect a total of 42 pounds of
aluminum cans. Let x represent
the number of weeks Rufus
collects aluminum cans.
Answer:
12
Step-by-step explanation:
collected can=18pound
total can to collect=42
collected can per week=2
now,
42-18 =24
so, remaining cans to collect is 24pound
and,
24/2
=12
so, Rufus have to collect for 12 weeks for 42pound of cans in total
Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong and earned an additional 10 points for answering a bonus question correctly. How many points did Ned receive or lose overall?
Answer:
86 is his final grade. He lost 24 points and gained 10 points .
Step-by-step explanation:
There are 25 questions total. Assuming that answering all 25 questions correctly earns you a 100.
Which best describes the association shown in the scatter plot?
Answer:
A- Strong Positive
Step-by-step explanation:
hopes this helps
Answer:
strong positive
Step-by-step explanation:
The diameter of the Sun is approximately 1,392,000,000 meters. What is this length
expressed in scientific notation
Answer:
1392 x 10 m
Step-by-step explanation:
Answer:
1.392 x 10⁹ m
Step-by-step explanation:
when you put numbers in scientific notation, there is one (1) non-zero number before the decimal
1.392
now count how many place you would have to move the decimal to the right in order to make 1,392,000,000
9 place
this means your second half looks like x 10⁹
now put it all together
1.392 x 10⁹ m
Solve the problem.
7/8 - 6/7 =
Answer:
1/56
Step-by-step explanation:
Answer:
1/56
Step-by-step explanation
First, find the common denominator
8 x 7 = 56
7 x 8 = 56
Your new equation is now:
7/56 - 6/56 = 1/56
what is the answer
Answer:
The answer is C.
Step-by-step explanation:
On each unit go left 4 spots and down 3 spots.
what are two fractions whose product is greater than 1.
Answer:
2/3 x 4/2
Step-by-step explanation:
of the following options, what could be a possible first step in solving the equation x + 6 = 3x -2
Step-by-step explanation:
X + 6 = 3x - 2
Bringing like terms on one side
6 + 2 = 3x - x
8 = 2x
8/2 = x
4 = x
Answer:
subtracting 6 from both sides
Step-by-step explanation:
How do u calculate these numbers from least to greatest 0.02, 0, 6.98, 2 1/16, 2.2, 6.89, 2.01
Answer:
0, 0.02, 2.01, 2 1/16, 2.2, 6.89, 6.98
Step-by-step explanation:
First thing is to turn 2 1/16 into decimal form which is 2.0625
Then look at the digit to the left of the decimal, 0 is the least, then 2, then 6
The system shown below is
.
x + 3y = 4
3x + 9y = 12
Answer:
Consistent and Dependent
Step-by-step explanation:
Just did the question
Which symbol correctly compares the two fractions?
Use >, <, or =.
Enter your answer in the box.
5/12
3/6
Answer:
5/12<3/6
Step-by-step explanation:
3/6 is 1/2 and 5/12 is smaller than 1/2
Answer:
5/12 < 3/6
Step-by-step explanation:
3/6 is equivalent to 6/12 because 3 times 2 is 6 and 6 times two is 12. 6 (the new numerator of 3/6) is greater than the numerator of 5/12- 5. 5<6. They have the same denominator so 5/12< 6/12 which is the same as 5/12 < 3/6. Hope that helped!
The table of values below represents a linear function and shows Marco’s progress as he is pumping gas into his car. What is the output for the initial value? Gas in Marco’s Car Seconds Spent Pumping Gas 0 12 24 36 48 Gallons of Gas in Car 3 5 7 9 11 0 gallons 2 gallons 3 gallons 6 gallons
Answer:
C
Step-by-step explanation:
The initial value obtained using the slope-intercept relation is 3 gallons.
We need to obtain the rate of change which gives the amount of gas entering into his car per second :
Rate of change = Rise / RunRate of change = - 11 - 3) / (48 - 0)
Rate of change = 8/48 = 1/6 gallons
Using the slope intercept relation :
y = bx + c b = slope ; c = initial amount of gasChoosing any pair of (x, y) point on the table :
(0, 3)
3 = 1/6x + c
3 = 1/6(0) + c
3 = 0 + c
c = 3
Therefore, the initial value is 3 gallons.
Learn more : https://brainly.com/question/23105648
what is the area in square meters of 6 triangles
Can anyone answer these? (BRAINLIEST)
Answer:
55, 116, and 120
Step-by-step explanation:
5. a. alternate exterior b. 55
6. a. corresponding b. 116
7. a. alternate interior b. 120
I haven't done this kinda math in a while, but im positive it's right. Good luck! :)
how would three billion nine hundred six thousand twelve be written in standard form 3976012 3000976012 3009760012
Answer:
30906012
Step-by-step explanation:
Find the ratio y:x, if 3x=11y,
Answer:
3:11
Step-by-step explanation:
3x=11y
Rearrange to the format of the ratio.
11y = 3x
Let's find y/x. y/x is y:x.
11y = 3x
Divide both sides by 11.
11y/11 = 3x/11
y = 3x/11
NOW LET'S DIVIDE BOTH SIDES BY x TO GET x AS THE DENOMINATOR OF y.
y = 3x/11
y/x = (3x/11)/x
y/x = (3x/11) * 1/x
y/x = 3/11
Therefore, y:x = 3:11
Please thank, rate 5 stars, and give brainliest. Thank you.
Hello i need help.
Answer:
477,900
Step-by-step explanation:
Which of the following is the midpoint of a line segment with endpoints -4 and 7? Options are -3 0 1.5 5.5 thanks <3
Answer:
1.5
Step-by-step explanation:
Answer:
1.5
Explanation:
-4 -3 0 1.5 5.5 7
this is because the median is 1.5 and if you cross out every number from each number u'll find urself with 1.5.
ex:
-4 -3 -2 -1 0 1 2 3 4 5 6 7
-3 -2 -1 0 1 2 3 4 5 6
-2 -1 0 1 2 3 4 5
-1 0 1 2 3 4
0 1 2 3
1 2
and in between 1 and 2 is 1.5 so 1.5 is ur answer
i hope this helped <3
The scale of a map says that 4 cm represents 5 km.What is the actual number of kilometers that is represented by 5 centimeters on the map?
Hey there! I'm happy to help!
We see that 4 cm represents 5 km. We want to see how much 5 cm represents.
To get from 4 cm to 5 cm, you multiply by 5/4. So, we multiply our 5 km by 5/4 to see how kilometers are represented by 5 centimeters on the mask.
5(5/4)=6 1/4
Therefore, the number of km represented by 5 cm on the map is 6 1/4 km.
Have a wonderful day! :D
For a fundraiser the sixth graders have 288 bags of popcorn to sell. There are 3 sixth- grade classes. If each class sells an equal number of bags, how many bags of popcorn does each class sell?
Answer:
96
Step-by-step explanation:
288 divide by 3
Can someone help me ? Its due today please
Answer:
x=3
y=5
Step-by-step explanation:
3x+2y=19
- 2x+2y=16
_____________
x=3
3(3)=9
19-9=10
10÷2=5
y=5
Answer:
x=3
y=5
Step-by-step explanation:
Method 1 ; Substitution Method
[tex]3x + 2y =19\\2x+2y=16\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:3x+2y=19:\\\quad x=\frac{19-2y}{3}\\\\\mathrm{Subsititute\:}x=\frac{19-2y}{3}\\\begin{bmatrix}2\times \frac{19-2y}{3}+2y=16\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{38+2y}{3}=16\end{bmatrix}\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{38+2y}{3}=16:\quad y=5\\\\\mathrm{For\:}x=\frac{19-2y}{3}\\\\Substitute\:y\:= \:5\\x=\frac{19-2\times\:5}{3}\\\\\frac{19-2\times\:5}{3}=3\\\\x=3,\:y=5[/tex]
Method 2 : Elimination method
[tex]\begin{bmatrix}3x+2y=19\\ 2x+2y=16\end{bmatrix}\\\\\mathrm{Multiply\:}3x+2y=19\mathrm{\:by\:}2\:\\\mathrm{:}\:\quad \:6x+4y=38\\\\\mathrm{Multiply\:}2x+2y=16\mathrm{\:by\:}3\:\\\mathrm{:}\:\quad \:6x+6y=48\\\\\begin{bmatrix}6x+4y=38\\ 6x+6y=48\end{bmatrix}\\\\6x+6y=48\\-\\\underline{6x+4y=38}\\2y=10\\\\\begin{bmatrix}6x+4y=38\\ 2y=10\end{bmatrix}\\\\\mathrm{Solve}\:2y=10\:\mathrm{for}\:y:\quad y=5\\\mathrm{For\:}6x+4y=38\mathrm{\:plug\:in\:}y=5[/tex]
[tex]\mathrm{Solve}\:6x+4\times\:5=38\:\mathrm{for}\:x:\quad x=3\\\\x=3,\:y=5[/tex]
