[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{n^2 - 5n + 8}[/tex]
[tex]\mathsf{= 2^2 - 5(2) + 8}[/tex]
[tex]\mathsf{= 2\times 2 - 10 + 8}[/tex]
[tex]\mathsf{= 4 - 10 + 8}[/tex]
[tex]\mathsf{= -6 + 8}[/tex]
[tex]\mathsf{= 2}[/tex]
[tex]\huge\text{Therefore, your answer should be: }[/tex]
[tex]\huge\boxed{\mathsf{2}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Automobiles traveling on a road with a posted speed limit of 65 miles per hour are checked for speed by a state police radar system. The following is a frequency distribution of speeds. Speed (miles per hour) Frequency 45 up to 55 50 55 up to 65 325 65 up to 75 275 75 up to 85 25 picture Click here for the Excel Data File The mean speed of the automobiles traveling on this road is the closest to ____.
Answer:
The mean speed of the automobiles traveling on this road is the closest to 64 miles per hour
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Speed} & {Frequency} & {45-55} & {50} & {55-65} & {325} & {65-75} & {275} & {75-85} & {25} \ \end{array}[/tex]
Required
Calculate the mean
First, calculate the midpoint (x)
For 45 - 55: [tex]x = \frac{1}{2}(45+55) = 50[/tex]
For 55 - 65: [tex]x = \frac{1}{2}(55+65) = 60[/tex]
For 65 - 75: [tex]x = \frac{1}{2}(65+75) = 70[/tex]
For 75 - 95: [tex]x = \frac{1}{2}(75+85) = 80[/tex]
So, we have:
[tex]\begin{array}{ccc}{Speed} & {Frequency} & {x} & {45-55} & {50} & {50} & {55-65} & {325} & {60} & {65-75} & {275} &{70} & {75-85} & {25} &{80}\ \end{array}[/tex]
The mean is then calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
[tex]\bar x = \frac{50*50+325*60+275*70+25*80}{50+325+275+25}[/tex]
[tex]\bar x = \frac{43250}{675}[/tex]
[tex]\bar x = 64.07[/tex]
[tex]\bar x = 64[/tex] --- approximated
Round off to the nearest
3,142
which orded pair is a solution of the equation 2x+4y=6x-y
Natalie earned a grade of 72% on her multiple choice history final that had a total of 200 problems. How many problems on the final exam did Natalie get wrong?
Answer:56
Step-by-step explanation:
72% of 200= 144
200-143=56
Find the volume of a cuboid of dimensions 4 cm x 2 cm x 3 cm
Answer:
24 cm^3
Step-by-step explanation:
4x2x3=24
someone please help me on this
There are many ways to prove this, this is just how I do it. Hope it helps.
what must be added to each term of the ratio 3:5, so that it becomes 4:5
Answer:
5 must be added to both the terms to get the ratio 4:5.
Step-by-step explanation:
(3+x)/(5+x)=4/5
Therefore,
15+5x=20+4x
=5x-4x=20-15
=x=5
I hope it's helpful!
Answer:
3+y/5+y=4/5
let y be the no.to be added
5(3+y)=4(5+y)
15+5y=20+4y
-5= -y
y=5
K(2, 7), L(6, 12), M(13, 13), N(9,8) (Slope Formula)
prove whether the quadrilateral is a parallelogram
Answer:
Yes, it's a parallelogram
Step-by-step explanation:
Slope Formula: y2-y1/x2-x1
KL: 12-7/6-2 = 5/4
LM; 13-12/13-6 = 1/7
MN: 8-13/9-13 = 5/4
KN: 7-8/9-2 = 1/7
Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.
What is the value of the expression 8x + 9 when x=7?
Benjamin has 16 coins in his wallet consisting of quarters and dimes. The total worth of
the coins is $3.10. Benjamin created two linear equations to model this scenario, where
q represents the number of quarters in his wallet, and d represents the number of
dimes.
Answer:
6 dimes & 10 quarters
Step-by-step explanation:
Here are the two equations. The first one deals with the numbers of coins. The second one deals with the values of the coins.
d + q = 16
0.1d + 0.25q = 3.1
Solve the first equation for d and plug into the second equation.
d = 16 - q
0.1(16 - q) + 0.25q = 3.1
1.6 - 0.1q + 0.25q = 3.1
0.15q = 1.5
q = 10
d + q = 16
d + 10 = 16
d = 6
Answer: 6 dimes & 10 quarters
Benjamin has 6 dimes and 10 quarters.
What is linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Given that two equations,
d + q = 16
0.1d + 0.25q = 3.1
Where q represents the number of quarters in his wallet, and d represents the number of dimes.
d = 16 - q
0.1(16 - q) + 0.25q = 3.1
1.6 - 0.1q + 0.25q = 3.1
0.15q = 1.5
q = 10
d + q = 16
d + 10 = 16
d = 6
Hence Benjamin has 6 dimes and 10 quarters.
Learn more about linear equation
https://brainly.com/question/2263981
#SPJ2
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Supplementary: N and M
Supplementary angles: A pair of angles whose sum is equal to 180°.
Vertical: N and R
Vertical angles: A pair of angles that are made by two intersecting lines.
Complimentary: P and Q
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
Alex has 100. He spends 3/10of it on candies. He spends one-seventh of what's left on colour pencils. How
much money is Alex left with?
Answer:
$60
Step-by-step explanation:
3 tenths of 100 is 30
1 * 10 is 10
100 - 30 + 10
= 100 - 40
= $60
The buyer of a car pays Php 169,000 cash and Php 12, 000 every month for 5 years. If money is 10% compounded monthly, how much is the cash price of the car?
Answer:
Step-by-step explanation:
Solve 1∕4p + 5∕6 = 2∕3 for p.
Question 1 options:
A)
–1∕24
B)
3∕8
C)
–2∕3
D)
6
Answer:
C) -2/3
Step-by-step explanation:
1/4p = 4/6 - 5/6
1/4p = -1/6
6p = -4
p = -4/6 or -2/3
Which pair of functions are inverses?
A.f(x) = 2x + 1, g(x) = 2x - 1
B. f(x)=3x+2. g(x)= 1/3x-2/3
C. f(x) = 4x, g(x) = -4x
D. f(x)= x+1/5, g(x)= x+5
Answer:
3
Step-by-step explanation:
2 plus 1 is 3
A figure is reflected across the x-axis, then reflected across the y-axis.
Which of the transformations will not always produce the same result?
A. Reflection of each point on the figure across the origin
B. Rotation of 180°
C. Reflection across the y-axis, then across the x-axis
D. Reflection across the line y=x
What is 36divided by 6.
Answer:
6
Step-by-step explanation:
It is six because 6x6=36
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y= 9 x= -42
Step-by-step explanation:
20 + 30 + 90 + 2 + 278 + 7 + 2891 + 29 = Whats the answer?
Answer:
3347 is the answer. Hope that helps
Answer:
3347
Step-by-step explanation:
20+30=50
50+90=140
140+2=142
142+278=420
420+7=427
427+2891=3318
3318+29=3347
how do u answer 1/2x + 3/8 = 1/6
Answer:
-5/12
Step-by-step explanation:
you need to simplify both sides of the equasion, then isolate the variable
Please help me there is a picture right there
Answer:
90 mm^2
Step-by-step explanation:
split into two rectangles.
First rectangle: 5 x 6 = 30 mm^2
Second rectangle: 10 x 6 = 60 mm^2
30 + 60 = 90 mm^2
Answer:
90 [tex]mm^{2}[/tex]
Step-by-step explanation:
Hi!
What we have over here is a composite figure.
Basically, it's made up of different shapes
We can either make a rectangle by making a horizontal line from the point in between 6 mm and 5 mm
Or we can make a rectangle by going verticle from the point in between 6 mm and 5 mm
Either way, we have two rectangles now, and we can use our formula [tex]l*w[/tex] to find the area.
For the first example, we would do:
[tex]6*5[/tex] [tex]=30[/tex]
[tex]6*10=60[/tex]
Then we add the two areas of the two rectangles:
[tex]60+30=90[/tex] [tex]mm^{2}[/tex]
For the second example, we would do:
[tex]5*6=30[/tex]
[tex]5*12=60[/tex]
[tex]60+30=90[/tex] [tex]mm^{2}[/tex]
Just cut the figure into shapes you can calculate the area of and you should be good to go!
Let me know if you have any questions
HURRY IM TIMED!!!
Select all the expressions that are equivalent to 21.
A.210 ÷ 10
B.741 ÷ 39
C.630 ÷ 30
D.756 ÷ 36
E.200 ÷ 10
Answer:
A, C, and D
Step-by-step explanation:
Answer: A - C - D
Step-by-step explanation:
A= 21
B= 19
C= 21
D= 21
E= 20
plz help i have 4 ins
Write an equation in slope-intercept form of a line that has a slope of 1/5 and a y-intercept of 4.
Answer:
y=1/5x+4
Step-by-step explanation:
one boy has 63k and another 59k .if they share it equally,how much does each of them get
Answer:
61k
Step-by-step explanation:
63+59=122
122/2=61
Answer:
61000
Step-by-step explanation:
First add 63K + 59K. You'll get 122K. Then divide that number by two. You'll get 61 K, which is 61000.
solve all 5 questions for 62 points if they are correct you will be marked brainiest
Answer:
1.0.003
2.40 minutes
3.a,e
4.a,c,d
5.1/24
Step-by-step explanation:
Need help getting a equation that you distribute that will equal x=6
Answer:
x+6=10-4+6
x=6+6-6
x=6
Does anyone kno dis answer for me
Answer:
answer below:)
Step-by-step explanation:
since s2= 6.2, then:
cos L= [tex]\frac{adjacent side }{hypotenuse side}[/tex]= [tex]\frac{6.2}{7\\}[/tex]
Which equation shows this volume formula solved for h?
Answer:
Step-by-step explanation: the answer is B i think
Answer:
A
Step-by-step explanation:
[tex]V = \frac{nd^2h}{6}[/tex]
multiply both sides by 6
[tex]6V = nd^2h[/tex]
divide both sides by [tex]nd^2[/tex]
[tex]\frac{6V}{nd^2} = h[/tex]
So the answer is A.
Equation A: y = -9x + 14
Equation B: y = x - 6
What is the solution ( , ) to the given set of equations?
Answer:
compare both the equation we get,
X-6 = -9x+14
or, 10X =20
or, X= 2
Y=X-6
or, Y= 2-6
or, Y= -4
hence the solution is (2,-4)