4!(7 – 4)! is equivalent to (4!)(3)!
3! = 3*2*1 = 6, and 4! = 4(6) = 24.
Thus, 4!(7 – 4)! = 24(6) = 144
It was -8 degrees in the morning, but by 5pm the temperature decreased 10 degrees. What was the temperature then?
someone anyone help me???!!!!
Try this option (note, this is not the shortest way!), the additional elements are shown by green colour.
Answers: ∠1=∠2=50°; ∠3=82°
Ruben said that 96.52 ÷ 12.7 equals 7.6.
Is Ruben's answer reasonable?
A.
No, Ruben's answer should be closer to 0.8.
B.
No, Ruben's answer should be closer to 80.
C.
No, Ruben's answer should be closer to 800.
D.
Yes, Ruben's answer is reasonable.
By rounding to the nearest whole numbers and estimating, it is confirmed that Ruben's answer of 96.52 ÷ 12.7 equals 7.6 is indeed reasonable.
Explanation:To assess if Ruben's answer that 96.52 ÷ 12.7 equals 7.6 is reasonable, let's consider the magnitude of the numbers involved. Firstly, we can simplify our estimation by rounding the numbers to the nearest whole digits, which gives us approximately 97 ÷ 13. By using division, we see that 13 goes into 97 about 7 times with some remainder, since 13 x 7 is 91, which is close to 97.
Now, 7.6 is indeed close to our estimation, so we can determine that Ruben's answer is within a reasonable range. Thus, the correct response to whether Ruben's calculation is reasonable would be:
D. Yes, Ruben's answer is reasonable.
For the following system of inequalities, which point lies in the solution set?
4x + 2y > 12
x − y > 5
Select one:
A. (1,1)
B. (8,4)
C. (3,9)
D. (9,1)
D
Substitute the coordinates of the given points into the inequalities and if both are true then the point is a solution to the system.
A(1, 1 ) : 4 + 2 = 6 and 1 - 1 = 0 not a solution
B(8, 4 ) : 32 + 8 = 40 and 8 - 4 = - 4 not a solution
C(3, 9 ) : 12 + 18 = 30 and 3 - 9 = - 6 not a solution
D(9, 1 ) : 36 + 2 = 38 and 9 - 1 = 8 is a solution
the point (9, 1 ) is the only point that makes both inequalities true
Dad, Anna, and Todd are walking in a city park together. While dad made 3 steps, Anna made 5 steps. For every 3 of Anna's steps, Todd made 5 steps. Anna and Todd calculated that they did 400 steps together. How many steps did dad make during that period?
Answer:
Dad made 90 steps during that period.
Step-by-step explanation:
Let x,y,z be the steps made by dad,Anna and Todd.
Given that while dad made 3 steps, Anna made 5 steps.
That is [tex]\frac{x}{y}= \frac{3}{5}[/tex]
[tex]y=\frac{5x}{3}[/tex]
And for every 3 steps Anna made, Todd made 5 steps.
That is [tex]\frac{y}{z}= \frac{3}{5}[/tex]
[tex]z=\frac{5y}{3} =\frac{5(\frac{5x}{3}) }{3} =\frac{25x}{9}[/tex]
It is also given that total number of steps made by Anna and Todd is 400.
That is y+z=400
let us plugin y and z in terms of x.
[tex]\frac{5x}{3} +\frac{25x}{9} =400[/tex]
[tex]\frac{15x}{9} +\frac{25x}{9}=400[/tex]
[tex]\frac{40x}{9}=400[/tex]
[tex]x=400X\frac{9}{40} =90steps[/tex]
Hence Dad made 90 steps during that period.
Answer this fast 50 POINTS
the answer would be 103 students
it takes Jupiter 11.9 years to orbit,or go around the sun. Saturn takes 17.6 more years than Jupiter to orbit the sun. About how long does it take Saturn to orbit the sun?
Saturn takes 17.6 more years than Jupiter, so 17.6 + 11.9 will get you how long Saturn will take to orbit the sun, which would give you 29.5 years.
The time it takes Saturn to orbit the sun can be calculated by adding Jupiter's orbit time to the additional time Saturn takes after Jupiter. Saturn takes approximately 29.5 years to complete one orbit around the sun.
To find out how long it takes Saturn to orbit the sun, we know that Jupiter takes 11.9 years and Saturn takes 17.6 more years than Jupiter. So, Saturn takes 11.9 + 17.6 = 29.5 years to orbit the sun.
Jeff and Jemaine go to an indoor ice skating ring. Jeff has to rent skates at $3.50 a pair while Jermaine has brought her own skates. Every hour of skating costs two dollars per person. Jeff can spend at most $10 while Jermaine can spend most $9. If they combine their money, how many hours could they skate together? Show work
WILL NARK BRAINLIEST PLEASE HELP ASAP !!!!
What is the equation of this line in slope-intercept form? Enter your answer in the boxes.
y=4/3x+4
are you in k12 i tookthat test already
y = [tex]\frac{4}{3}[/tex] x + 4
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 4 ) and (x₂, y₂ ) = (-3, 0 ) ← 2 points on line
m = [tex]\frac{x0-4}{-3-0}[/tex] = [tex]\frac{-4}{-3}[/tex] = [tex]\frac{4}{3}[/tex]
the line crosses the y-axis at (0, 4 ) → c = 4
y = [tex]\frac{4}{3}[/tex] x + 4 ← in slope-intercept form
1/2divide by 5 =1 blank of 1/2
Answer:
i am pretty sure that it is .2,
Step-by-step explanation:
first, you would do .5 divided by 5 which is 0.1. Then you would do 0.1 divided by 0.5 and you would get 0.2
An Uber fare in Columbus is $3.50 for the first ½ mile and additional mileage charged at a rate of $0.30 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $15? Please show or explain your calculations.
If we consider the first half mile to be charged at $0.30 per tenth also, that half-mile costs $1.50 and the charges amount to a fixed fee of $2.00 and a variable fee of $0.30 per tenth mile.
After you subtract the $2 tip and the fixed $2 fee from the trip budget amount, you have $11.00 you can spend on mileage charges. At 0.30 per tenth mile, you can travel
... $11.00/$0.30 = 36 2/3 . . . . tenth-miles
The trip is measured in whole tenths, so you can ride ...
... 36 × 1/10 = 3.6 miles
_____
If you want to see this in the form of an equation, you can let x represent the miles you can travel. Then your budget amount gives rise to the inequality ...
... 3.50 + 0.30((x -.50)/0.10) + 2.00 ≤ 15.00
... 3.50 + 3x -1.50 +2.00 ≤15.00 . . . . . . . eliminate parentheses
... 3x ≤ 11.00 . . . . . . . . . . . . . . . . . . . . . . . . collect terms, subtract 4
... x ≤ 11/3 . . . . . . . . . . . . . . . . . . . . . . . . . . divide by 3
... x ≤ 3.6 . . . . . rounded down to the tenth
Anyone have the answer to this? Need help ASAP?
For this case we have the following data:
Polynomial function of grade 5
Given roots: -2, 2,[tex]4 + i[/tex]
Having an imaginary root given by [tex]a + bi[/tex], the other root, in the same imaginary way, must be given by its complex conjugate, that is, [tex]a-bi[/tex].
In this way, the fourth root is given by:
[tex]4-i[/tex]
Since the polynomial function is grade 5, it must have 5 roots. Thus, the fifth root must be given by a real number.
Thus, the roots of the polynomial function are given by: three real roots and two imaginary roots.
Answer:
Option D
f(x) has 3 real roots x = -2, x = 2 and x = 4
complex roots occur in conjugate pairs
x = i is a root then x = - i is a root
there are therefore 2 imaginary roots
f(x) has 3 real roots and 2 imaginary roots
James has t toy cars and Paul has 13 more. How many cars will James have if Paul gives him half of his cars?
James will end up with his original t cars and half of (t+13) cars, so will have ...
... t + (t+13/2) = (3t +13)/2 . . . . cars James has after Paul's gift
To find out how many cars James will have after Paul gives him half of his cars, we need to determine the numbers of cars James and Paul have. We then calculate half of Paul's cars and add that to James' original number of cars.
Explanation:To find out how many cars James will have after Paul gives him half of his cars, we need to first determine how many cars Paul has in total.
We know that Paul has 13 more cars than James, so we can set up an equation:
Paul's cars = James' cars + 13. Next, we need to find out how many cars Paul will give to James, which is half of Paul's cars.
We can set up another equation: cars Paul gives to James = Paul's cars ÷ 2.
Finally, to find out how many cars James will have after Paul gives him half of his cars, we simply add the number of cars Paul gives to James to James' original number of cars.
Let's say James has 5 toy cars. Paul has 13 more, so Paul has 5 + 13 = 18 toy cars.
Half of Paul's cars is 18 ÷ 2 = 9 toy cars. James will have 5 + 9 = 14 toy cars after Paul gives him half of his cars.
Show how you could set up and find the exact value of cos(5π/4) in two different ways.
note that 5π /4 is in the third quadrant where the cos is negative
the related acute angle to 5π /4 is π/4, thus
cos( 5π /4 ) = - cos (π/4 ) = - √2/2
We can also evaluate using the addition formula for cosine
• cos (x + y ) = cosxcosy - sinxsiny
note that 5π /4 = (π + π/4 )
cos(5π /4 ) = cos (π + π/4 )
= cos(π)cos(π/4) - sin(π)sin(π/4)
= - 1 √2/2 - 0 = - √2/2
Can someone pls help me with this?
The naming of similar triangles has corresponding vertices in the same order in the name. That means segment QS corresponds to segment AC. We note that QS = 6 cm is 1/10 the length of AC = 60 cm.
Side AB is given as 50 cm, so the corresponding side QR will be 1/10 that value.
... QR = 5 cm
If f(x) = 5x - 2 and g(x) = 2x + 1, find (f - g)(x)
(5x - 2 - g(x))(x)
(5x - 2 -(2x + 1)
(5x - 2 - (2x + 1) : 3x - 3
= 3x - 3
PLEASE HELP QUICK
Mike was in charge of collecting contributions for the Food Bank. He received contributions of $13, $34, $26, $31, and $28 from five co-workers. Find the median value of these contributions.
median = $28
the median is the middle value of the data arranged in ascending order
rearrange the data in ascending order
13 26 28 31 34
the middle entry is 28
hence median = $28
The median is the middle value so put the numbers in order from smallest to largest.
13,26,28,31,34
The middle value is 28, so the median value is 28
Which expression is equivalent to the expression -2 4/5+6/7: 2 4/5-6/7: -2 4/5-6/7: -(2 4/5+6/7): -(2 4/5 - 6/7)
When you factor out -1, you get ...
... -(2 4/5 - 6/7)
Write a two point slope equations for the line passing through the points 6,5 and 3,1
The 2-point form of the equation of a line can be written as ...
... y = (y2-y1)/(x2-x1)·(x -x1) +y1
For your points, this is ...
... y = (1-5)/(3-6)·(x -6) +5
... y = (4/3)(x -6) +5
It can also be written as
... y -5 = (4/3)(x -6)
Answer: The required equation is y= 4x/3 - 3
Step-by-step explanation:
Given points (6,5) and (3,1)
Two point slope equation is given as
[tex]y - y1 = \frac{y2-y1}{x2-x1}(x-x1)[/tex]
where (x1, y1) and (x2,y2) are the points respectively
∴ [tex]y-5 =\frac{1-5}{3-6}(x-6)[/tex]
[tex]y-5 =\frac{-4}{-3} (x- 6)[/tex]
[tex]y -5 =\frac{4}{3} (x-6)[/tex]
[tex]y - 5 =\frac{4}{3}x - 8[/tex]
[tex]y = 5 +\frac{4}{3} x - 8[/tex]
[tex]y = \frac{4}{3}x -3[/tex]
It can also be written as
[tex]y -5 =\frac{4}{3}(x -6)[/tex]
Scientific skills exercise: interpreting a scatter plot with two sets of data which variable is the independent variable--the variable that was controlled by the researchers? Is the independent variable on the x-axis or the y-axis?
In a scatter plot with two sets of data, the independent variable is the variable that was controlled by the researchers and is represented on the x-axis.
Explanation:In a scatter plot with two sets of data, the independent variable is the variable that was controlled by the researchers. The independent variable is typically represented on the x-axis of a scatter plot. It is the variable that is manipulated or changed to observe its effect on the dependent variable, which is plotted on the y-axis.
Learn more about Interpreting scatter plots here:https://brainly.com/question/31353612
#SPJ3
How do you write 300450390 in expanded form
300000000+400000+50000+300+90= 300450390
Hope this helped! :)
How do you write 300450390 in expanded form ?
300000000+ 400000+ 50000+ 300+ 90= 300450390
Hope this helps. If it does, please mark me brainiest! <3
choose the best response to explain why 3 (x+12)=3 (x+5)
3(x + 12) does not, and never will, equal 3(x + 5)
We can solve the equation to verify.
3(x + 12) = 3(x + 5)
Distributive property.
3x + 36 = 3x + 15
Subtract 15 from both sides.
3x + 21 = 3x
Cancel like terms.
21 = 0 × this is incorrect.
Mo says that 0.23567 is not a rational number. Which of these explains why Mo is incorrect?
Mo Says that, 0.23567 is not a Rational Number.
Mo is Incorrect.
⇒She is Incorrect, because Decimal expansion of rational number is either terminating or Non terminating Repeating decimal.
As , 0.23567 is terminating decimal .So, it is a Rational Number.
If y varies directly with x, write an equation for the direct variation. Then find the value.
If y=3 when x=2, find y when x=1
Plz show work
since y varies directly with y then
y = kx ( k is the constant of variation )
to find k use y = 3 when x = 2
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{3}{2}[/tex]
equation is : y = [tex]\frac{3}{2}[/tex] x
When x = 1 then y = [tex]\frac{3}{2}[/tex] × 1 = [tex]\frac{3}{2}[/tex]
[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we also know that}~~ \begin{cases} y=3\\ x=2 \end{cases}\implies 3=k2\implies \cfrac{3}{2}=k \\\\\\ therefore\qquad \boxed{y=\cfrac{3}{2}x} \\\\\\ \textit{when x = 1, what is \underline{y}?}\qquad y=\cfrac{3}{2}(1)\implies y=\cfrac{3}{2}[/tex]
Use substitution to solve the linear system of equations
x = 4.
-y = 1/2x
(4, -2)
(-2, 4)
(4, 2)
(2, -4)
solution = (4, - 2 )
substitute x = 4 into - y = [tex]\frac{1}{2}[/tex] x
- y = [tex]\frac{1}{2}[/tex] × 4 = 2 ( multiply both sides by - 1 )
y = - 2
solution is ( 4, - 2 )
Answer:
I think it is (4,-2)
Please Answer The Following Questions.
Answer:
4. 73
5. 40°
Step-by-step explanation:
The sum of the angles in a triangle is 180°. The sum of angles in a linear pair is 180°.
4. 45° +62° + k° = 180°
... 107 +k = 180 . . . . . collect terms, divide by °
... k = 180 -107 = 73 . . . . . subtract 107
_____
5. ∠STR = ∠SRT = 20°
... ∠STR +∠STU = 180°
... 20° + 4x = 180°
... 4x = 160° . . . . . . . . subtract 20°
... x = 40° . . . . . . . . . . divide by the coefficient of x
Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs. This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of paragraphs. Use this information to complete each statement about the linear equation.
Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs.
This situation can be represented with a linear equation written in point-slope form,
Let 'x' represents the number of minutes and,
y represents the number of paragraphs.
In one minute Mila reads 2 paragraphs .
So, y=2x
Let x=1 then y=2
x=2 then y =4
Here slope of equation is 2
Let( x1, y1) and (x2,y2) be the two point the equation y=2x the ,
we can write, (y2 - y1) = m(x2 - x1)
or (y2 - y1) = 2(x2 - x1)
Answer:
(3,6)
Step-by-step explanation:
Given that Mila reads at a rate of 2 paragraphs per minute. After reading for 3 minutes, she had read a total of 6 paragraphs.
This situation can be represented with a linear equation written in slope-intercept form, as
[tex]y=2x[/tex]
where 'x' represents the number of minutes and,
y represents the number of paragraphs.
Since y intercept is 0 i.e. 0 paras in 0 minutes we have the equation as
[tex]y=2x[/tex]
Since no of minutes or paragraphs cannot take negative values this line is defined only in the I quadrant where both x and y are positive
Out of the points given as follows:
(3,6) (2,3) (-3,6) or (-2,6) ,
we can remove last two since they have negative x which is impossible.
Consider (3,6) (2,3)
Out of these only I point (3,6) satisfies [tex]y=2x[/tex] and second point (2,3) does not satisfy
[tex]y=2x[/tex]
Hence answer is (3,6)
A high ascent weather balloon is in the shape of cone pointing downwards. The cone has a height of h and a hemispherical top of a radius r. The surface area of the weather balloon is , and the volume is , where . For a weather balloon with a volume of 14000 , the surface area as a function of m is shown below.
Answer:
Matlab capacity to ascertain the surface territory of an inflatable
work surfaceArea = surfaceBalloon(Volume,M)
Step-by-step explanation:
% Matlab capacity to ascertain the surface territory of an inflatable
work surfaceArea = surfaceBalloon(Volume,M)
% compute R
cubeOfR = 3 * Volume * ones(1,length(M));
cubeOfR = cubeOfR ./(pi * (M+2));
R = power(cubeOfR,1/3);
% compute surface zone
power1 = power(M,2);
power1 = 1+ power1;
power1 = power(power1,1/2);
power1 = 2 + power1;
surfaceArea = pi .* power(R,2) .* power1;
end
% End of capacity
% Matlab content to utilize work surfaceBalloon to locate the surface zone of
% expand
clc;
V = 14000;
M = (0:10);
surfaceArea = surfaceBalloon(V,M);
plot(M,surfaceArea);
xlabel('M');
ylabel('Surface Area m^2');
ylim([2900 5000]);
title('M v/s Surface Area of an inflatable');
saveas(gcf,'surfaceAreaPlot','png'); % spare the chart
% end of primary content
Answer:
radius = ((3*Volume) ./ ((2+M).*pi)).^(1/3);
surfaceArea = pi .* radius.^2 .* (2+sqrt(1+M.^2));
Step-by-step explanation:
The OP didn't include this part, but the original problem has the equations written for you in the header. Here they are again:
A = [tex]\pi R^{2}[/tex](2 + [tex]\sqrt{1+M^{2} }[/tex])
V = [tex]\pi R^{3} (2+M)/3[/tex] where M = H/R
The problem is asking for the surface area of the balloon, but the only values that the user inputs are volume and M. We need to solve for the radius before we can complete the code. So, we can solve for R in one equation and plug it into the second equation.
Let's adapt the given equation V = [tex]\pi R^{3} (2+M)/3[/tex] and solve for R to get the equation for the radius.
V = [tex]\pi R^{3} (2+M)/3[/tex]
3*V = [tex]\pi R^{3} (2+M)[/tex]
[tex]\frac{3*V}{\pi (2+M)} = R^{3}[/tex]
R = [tex](\frac{3*V}{\pi (2+M)})^{1/3}[/tex]
Now, let's convert the equation for R to MATLAB code. Because we are using arrays, each operational symbol must be preceded by a "." unless it is a + or -.
R = [tex](\frac{3*V}{\pi (2+M)})^{1/3}[/tex]
radius = ((3*Volume) ./ ((2+M).*pi)).^(1/3);
Okay, so the hard part is done. The second line of code is easy: all you have to do is transform the given equation for surface area into MATLAB code while using the variable we named "radius" in the last step. Again, because we are performing operations with arrays, use "." in front of all operational symbols (except + and -).
A = [tex]\pi R^{2}[/tex](2 + [tex]\sqrt{1+M^{2} }[/tex])
surfaceArea = pi .* radius.^2 .* (2+sqrt(1+M.^2));
Putting it all together, your answer should be
radius = ((3*Volume) ./ ((2+M).*pi)).^(1/3);
surfaceArea = pi .* radius.^2 .* (2+sqrt(1+M.^2));
9y + 3 > 4y - 7
thats it
In figure, MN : NP = 9:1. If MP = 2. Find the distance from M to point K that is 1/4 the distance from M to N?
(A) 1 (B) 1 1/3 (C) 9/20 (D) 1 8/10
The distance MN is 9/(9+1) = 9/10 of the distance MP, so is
... MN = (9/10)×MP = (9/10)×2 = 9/5
The distance MK is 1/4 that, so is ...
... MK = (1/4)×(9/5) = 9/20 . . . . . matches selection (C)
Answer:
C
Step-by-step explanation:
the answer is C. give the person the brainly :) ignore this answer