Answer:
Hey there!
Using conversion factors we get-
72 km/h=20 m/s
108 km/h=30 m/s
Let me know if this helps :)
Evaluate each expression if a =2, b = -3 and c = -1 and d =4. Bd/2c
Answer:
6
Step-by-step explanation:
bd/2c
-3(4)/2(-1)
-12/-2
6
Answer:
6
Step-by-step explanation:
Add the given numbers into your equation.
(-3)(4)/2(-1)
Then multiply both sides.
(-12)/(-2)
Then divide.
(-12)/(-2) = 6
f(x) = = 3x + 10
g(x) = x - 2
Find f(g(5))
9
19
23
-10
Given : f(x) = 3x + 10 and g(x) = x - 2
To Find : f(g(5))
[tex]:\implies\sf\:g(x) = x-2[/tex]
[tex]:\implies\sf\:g(5) = 5-2[/tex]
[tex]:\implies\bf\:g(5) = 3[/tex]
Now,
[tex]:\implies\sf\:f(x)=3x+10[/tex]
[tex]:\implies\sf\:f(g(5))=3x+10[/tex]
[tex]:\implies\sf\:f(3)=3(3)+10[/tex]
[tex]:\implies\sf\:f(3)=9+10[/tex]
[tex]:\implies\boxed{\bf{\blue{f(3)=19}}}[/tex]
Find the measure of b+d. A. 74 B. 90 C. 32 D. 58
Answer:
B. 90°
Step-by-step explanation:
Quadrilateral inscribed in the circle with center O is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
(b + d) + (32° + 58°) = 180°
b + d + 90° = 180°
b + d = 180° - 90°
b + d = 90°
(WILL GIVE BRAINLIEST!)
Find the distance d(A,B) between points A and B.
A(1,-6); B(1,6)
Answer:
12
Step-by-step explanation:
Since the x values are the same, we only have to look at the difference between the y values
6 - -6
6+6
12
The distance is 12
Answer:
[tex]\Huge \boxed{12}[/tex]
Step-by-step explanation:
To find the distance between two points, apply the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+ (y_2-y_1)^2 }[/tex]
Plug in the values.
[tex]d=\sqrt{(1-1)^2+ (6-(-6))^2 }[/tex]
Evaluate.
[tex]d=\sqrt{(0)^2+ (12)^2 }[/tex]
[tex]d=\sqrt{144}[/tex]
[tex]d=12[/tex]
A box is filled with 2 yellow cards, 4 blue cards, and 12 red cards. A card is chosen at random from the box. What is the probability that the card is not blue? Write your answer as a fraction in simplest form.
Answer:
7/9
Step-by-step explanation:
Given:
Number of yellow cards=2
Number of red cards=12
Number of blue cards=4
Total number of cards= Number of yellow cards+Number of red cards+Number of blue cards
= 2+4+12=18cards
Probability of a NON-blue card = number of non blue/ total number
where NON-blue= Number of red cards+
Number of yellow cards
= 2+12=14
P(not blue)=
=14/18
7/9
Therefore, probability that the card is not blue is 7/9
Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2))
Answer: f(g(2))=-7
Step-by-step explanation:
STEP 1. Find g(2)
g(x)=x²-6x-7
g(2)=(2)²-6(2)-7
g(2)=4-12-7
g(2)=-15
----------------------
STEP 2. Find f(g(2))
f(x)=x+8
f(g(2))=g(2)+8
f(-15)=-15+8
f(-15)=-7
Hope this helps!! :)
Please let me know if you have any question or need any further explanation
Answer:
The Answer is -7 .
Step-by-step explanation:
f(x)= x+8
g(x)= [tex]x^{2}[/tex]-6x-7
Now,
fog(2)=f ([tex]2^{2}[/tex]-6*2-7)
=f (4-12-7)
=f (-15)
=-15+8
= -7
8+35/w=15
a.8
b.6
c.10
d.5
Answer:
[tex] \boxed{ \bold{ \huge{ \bold{w = 5}}}}[/tex]
Option D is the correct option
Step-by-step explanation:
[tex] \sf{8 + \frac{35}{w} = 15}[/tex]
⇒[tex] \sf{ \frac{8 \times w + 35}{w} = 15}[/tex] { w ÷ 1 = w , So, I wrote 8 × w }
⇒[tex] \sf{ \frac{8w + 35}{w} = 15}[/tex]
Apply cross product property
⇒[tex] \sf{8w + 35 = 15w}[/tex]
Move 15w to left hand side and change it's sign
Similarly, Move 35 to right hand side and change it's sign
⇒[tex] \sf{8w - 15w = - 35}[/tex]
Collect like terms
⇒[tex] \sf{ - 7 w = - 35 }[/tex]
Divide both sides of the equation by -7
⇒[tex] \sf{ \frac{ - 7w}{ - 7} = \frac{ - 35}{ - 7} }[/tex]
Calculate
⇒[tex] \sf{w = 5}[/tex]
Hope I helped!
Best regards!!
Answer:
w = 5
Step-by-step explanation:
8 + [tex]\frac{35}{w}[/tex] = 15
subtract 8 from both sides
8 + [tex]\frac{35}{w}[/tex] - 8 = 15 - 8
simplify
[tex]\frac{35}{w}[/tex] = 7
35/7 = w
w = 5
Question 13
A train runs 68m, 127m, 208m, 312m, and 535m in five successive minutes after it
starts. For the next five minutes, it runs an average speed of 33 km/h. Find the
total distance covered in ten minutes,
A. 12 km
B. 10 km
C. 4 km
D. none
Answer:
C
Step-by-step explanation:
Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.
From the first part of the question, we already know the distances in the first 5 minutes.
Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;
Mathematically; Total distance = average speed * time
From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.
That would be 5/60 = 1/12 hours
So the total distance in the second 5 minutes is;
33 * 1/12 = 2.75 km
Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;
That would be;
68 + 127 + 208 + 312 + 535 = 1,250 m
Let’s convert this to km.
We simply divide by 1000 = 1250/1000 = 1.25 km
The total distance is thus ;
1.25 + 2.75 = 4 km
some whole numbers are irrational numbers true or false and why ?
Answer:
False
Step-by-step explanation:
The set of numbers that include 0 plus the set of counting numbers. Which also includes 1-Infinity. Example....1,2,3,4, etc.
Answer:
False
Step-by-step explanation:
Whole numbers and irrational numbers are different set of numbers and they don't cross or overlap, therefore no whole number can be part of irrational numbers set
Please help! 3. Tim grouped these numbers together.
3
2
8
-101, -6.41, -19,-1,-0.3
3'
What rationale could Tim provide?
Answer:round up to the Nernst number
Step-by-step explanation:
Hope this helps
Answer:
round up the number
Step-by-step explanation:
Nicole mixes 2 tins of red paint with 3 tins of white. She needs 15 tins of paint altogether. how many tins of red paint does she need Please show calculations
Answer:
You have:
2 red tins
3 white tins
This equals 5 tins of paint.
If you multiply 5 tins by 3 times it will give you 15 tins of paint.
Now: 2 red tins x 3 = 6 red tins
3 white tins x 3 = 9 white tins
6 red tins + 9 white tins = 15 tins of paint
Answer:
She will need 6 tins of Red paint
Step-by-step explanation:
Find the value of k, if (1, -1) is a solution of the equation 3x-ky = 8. Also, find the coordinates of another point lying on its graph.
Why is it important that the term “locked” is used when making the following statement? You can use a locked compass setting and a straightedge to draw two congruent segments.
You use a compass to draw an arc (or a full circle). The radius must be kept the same so that you can copy the length of the segment properly. If the compass could move freely, then it is unlikely the arc will be a piece of a circle, and rather some squiggly curve. So this is why the compass width must be locked into place.
simplify 4y+6x-3(x-2y)
Answer:
10y + 3x
Step-by-step explanation:
(4y + 6x) - 3 • (x - 2y)
Answer:
I think it's 10y+3x
Step-by-step explanation:
I search it up :(
The endpoints of segment GH are G(-3,0) and H(11,- 4). What is the midpoint of segment
GH?
Answer:
The answer is ( 4 , - 2)Step-by-step explanation:
The midpoint M of a line segment can be found by using the formula
[tex] M = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
G(-3,0) and H(11,- 4)
Their midpoint is
[tex]M = ( \frac{ - 3 + 11}{2} , \frac{0 - 4}{2} ) \\ = ( \frac{8}{2} , - \frac{4}{2} )[/tex]We have the final answer as
( 4 , - 2)Hope this helps you
PLEASE ANSWER FAST
What association does the scatter plot show?
A.Positive nonlinear association
B.Positive linear association
C.No association
D.Negative nonlinear association
E.Negative linear association
Answer:
Negative nonlinear association
Answer:
D is wrong
Step-by-step explanation:
I followed advice of a person above me and got it wrong on test. I now realise that the only logical and correct answer is C
Which of the folldwing is an irrational number?
Answer:
umm.... what exactly are the numbers?
Answer:
Yea umm what are the numbers..?
Step-by-step explanation:
Please help, I am desperate!?! Will name Brainliest!!
Suppose that a spotlight is used for lighting objects at many different distances and that the area A of the light circle produced is related to the distance x to the lighted object by A=0.1x^2.
a. If the spotlight produces 250 lumens of light energy, what function gives the intensity of the light I, (in lumens per square foot) as a function of the distance x in feet from the spotlight to its target?
b. Write and solve equations that match these questions about the light intensity from the spotlight.
i. What is the intensity of light on an object that is 20 feet from the spotlight source?
ii. How far from the spotlight is an object that recieves 100 lumens of light per square foot?
Answer:
Intensity = 2500/x^2
6.25 lumem
5 Feets
Step-by-step explanation:
Given the following :
Area (A) = 0.1x^2
Intensity, Energy and Area are related by the formular :
Intensity = power / Area
A) If 250 lumens of light energy is produced :
Intensity (I) = 250 / 0.1x^2
Intensity = 2500/x^2
x = distance
B) USING THE EQUATION :
1) What is the intensity of light on an object that is 20 feet from the spotlight source?
x = 20
Intensity = 2500/x^2
Intensity = 2500/20^2
Intensity = 2500/400
Intensity = 6.25 lumen
11) How far from the spotlight is an object that recieves 100 lumens of light per square foot?
Intensity = 100
100 = 2500 / x^2
100x^2 = 2500
x^2 = 2500/ 100
x^2 = 25
x = 5 Feets
What is the distance between y = 3x + 9 and y = 3x - 4?
Answer:
A. 4.11 units
Step-by-step explanation:
It can be convenient to put one of these equations into general form, then use the formula for the distance from a point to a line.
In general form, the first equation is ...
3x -y +9 = 0
So, the distance from a point to that line is ...
ax +by +c = 0 . . . . . . equation of a line
d = |ax +by +c|/√(a^2+b^2) . . . corresponding distance formula
d = |3x -y +9|/√(3^2 +(-1)^2)
Using the y-intercept of the other line as the point of interest, we find its distance to the first line to be ...
d = |3(0) -(-4)+9|/√10 = 13/√10 ≈ 4.11
The distance between the lines is about 4.11 units.
_____
Unless the lines are vertical or horizontal, you know the distance will be less than the difference between the x- or y- intercepts. Here, the y-intercepts are separated by 9-(-4) = 13 units. The x-intercepts are -3 and 4/3, so are separated by 4 1/3 units. Any answer choice larger than 4.33 cannot be correct.
Look at the following figure. Copy the cross onto another piece of paper. Then, cut apart the four pieces labeled A, B, C, and D. You now have a jigsaw puzzle with four pieces. Can you figure out how to put the pieces back together to form a square?
Answer:
C should slot on top of A.
Then D should slot in next to C of the left.
Lastly B should be beneath D and on the left of A.
Hope that makes sense.
At the end of the trading day on April 25, TI closed at $28.84. The previous day it closed at $27.41. Find the net change as a percent rounded to
the nearest hundredth.
Answer:
27.41
Step-by-step explanation:
please help!!! the study conducted was 6 days long: there was 72mm of plant food and it decreased an equal amount each day.
Answer:
[tex] f(x) = 72 - 12x [/tex]
Step-by-step explanation:
No. of days of study = 6
Amount of food to use for the 6 days = 72 mm
Given that equal amount of food was used each day, amount used per day = [tex] \frac{72}{6} = 12 mm [/tex]
This would enable us derive a function for the amount of food remaining f(x), which can be expressed as a function of the number of days that have passed, (x).
Thus, we would have:
[tex] f(x) = 72 - 12x [/tex]
Let's check if this equation expresses the relation of the function well.
At the end of day 1, if we used, 12mm, we would have 72 - 12 = 60mm of food remaining.
If we replace x in the equation we derived, we would get the same 60mm as the amount of food remaining.
If you try 2, 3, 4, 5 days, you'd get same thing.
At the end of the study, after the 6th day, the food would remain nothing.
Replace 6 for x in the relation function derived, you'd get a value of 0.
Solve for x 11=5x+2-2x
Answer:
x=3
11=5x+2-2x
x=3
which number is the additive verse of -10 1/4
Answer:
Step-by-step explanation:
An Additive Verse is a pair of numbers whose sum is zero.
Example: the additive Inverse of -5 is +5
Therefore: the Additive Inverse of -10 1/4 would be +10 1/4
HELP PLEASE HELP ASAP
Answer:
r=0.30 feet
Step-by-step explanation:
2.6miles = 13728feet
4000=[tex]\pi[/tex]r²13728
4000/[tex]\pi[/tex]13728=r²
.0927=r²
r=0.30454
r=0.30 feet
Add. Write your answer as a fraction in simplest form. 9/10+(−4/5)= will mark brainliest
Answer:
[tex]\boxed{\frac{1}{10}}[/tex]
Step-by-step explanation:
[tex]\frac{9}{10}+(-\frac{4}{5})\\\\ \frac{9}{10}-\frac{4}{5}\\\\\text{LCM} (10,5): 10\\\\\rightarrow \frac{4*2}{5*2}=\frac{8}{10}\\\\\frac{9}{10} -\frac{8}{10}\\\\\boxed{\frac{1}{10}}[/tex]
Hope this helps.
Solve 15 and 21, will give BRAINLIST!!
Answer:
Step-by-step explanation:
4/x=2/10cross multiplication:
4*10=2*x
40=2x
x=40/2=20
w/2 = 4.5/6.86.8w=2(4.5)
6.8w=9
w=9/6.8=1.32352941
What is 27 multiplied by 4,684. Please do not answer in decimals. I need a whole number and a remainder.
Answer:
126468 is the result of 27 multiplied by 4684
ATTENTION WILL GIVE BRAINLIEST IF YOU HAVE IT RIGHT, IF YOU DONT PUT A RIGHT ANSWR I WILL REPORT YOU AND BLOCK YOU. 1. Write an expression with (−1) as its base that will produce a positive product, and explain why your answer is valid. 2. Write an expression with (−1) as its base that will produce a negative product, and explain why your answer is valid.
Answer: -1^0 because any number to the 0 is 1
-1^1 because it stays the same number which is negative
Answer:
Hey there!
For question number 1.
(-1)^2, because this equals (-1)(-1), or 1.
For question number 2.
(-1)^3, becuase this equals (-1)(-1)(-1), or -1.
Let me know if this helps :)
How to find value of x on line segment
Answer:
by going to the x then going straight up or down depending on where your x is on the line graph then go back to the x and go straight across to the number from it then put the y value over x value in Thats your answer simplify if you need to