Answer:
x = 1/2
Step-by-step explanation:
[tex] \frac{4}{7} x = \frac{2}{7} \\ \\ x = \frac{ \cancel2}{ \cancel7} \times \frac{ \cancel7}{ \cancel4 \: \: 2} \\ \\ x = \frac{1}{2} [/tex]
if x -1/7,evaluate x²+1/x²
Answer:
[tex]given \: x = - \frac{1}{7} [/tex]
[tex]x {}^{2} + \frac{1}{x {}^{2} } [/tex]
[tex]( - \frac{1}{7} ) {}^{2} + \frac{1}{ ( - \frac{1}{7} ) {}^{2} } [/tex]
[tex] \frac{1}{49} + \frac{1}{ \frac{1}{49} } [/tex]
[tex] \frac{1}{49} + \frac{1 \times 49}{1} [/tex]
[tex] \frac{1}{49} + 49[/tex]
[tex] \frac{2402}{49} \: or \: 49.02[/tex]
A smoke jumper jumps from a plane that is 1900 ft above the ground. The function h=-16t+1900 gives the jumper's height h in feet during the free fall at t seconds. a. How long is the jumper in free fall if the parachute opens at 1000 ft? b. How long is the jumper in free fall if the parachute opens at ft? c. What is a reasonable domain and range for the function h? a. The jumper is in free fall for nothing s if the parachute opens at 1000 ft
Answer:
a) The jumper opens the parachute in 7.5 seconds.
b) The jumper opens the parachute in approximately 7.706 seconds.
c) There are two possible choices for the function:
Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]
Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]
Step-by-step explanation:
Note: The equation presented in statement is incorrect. The correct formula for free fall is:
[tex]h(t)=-16\cdot t^{2}+1900[/tex] (1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]h[/tex] - Height above the ground, measured in feet.
a) If we know that [tex]h(t) = 1000\,ft[/tex], then the final instant of the free fall stage is:
[tex]-16\cdot t^{2}+1900 = 1000[/tex]
[tex]16\cdot t^{2} = 900[/tex]
[tex]t = 7.5\,s[/tex]
The jumper opens the parachute in 7.5 seconds.
b) How long is the jumper in free fall if the parachute opens at 950 ft?
If we know that [tex]h(t) = 950\,ft[/tex], then the final instant of the free fall stage is:
[tex]-16\cdot t^{2}+1900 = 950[/tex]
[tex]16\cdot t^{2} = 950[/tex]
[tex]t \approx 7.706\,s[/tex]
The jumper opens the parachute in approximately 7.706 seconds.
c) There are two possible choices for the function:
Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]
Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]
help me please !! thank you!
I’m doing a percent equation I need help please here’s the question. Blank percent of 20 = 14
Answer:
x = 70
Step-by-step explanation:
x% 20 = 14
x / 100 * 20 = 14
x / 5 = 14
x = 14 * 5
Tina worked 5 hours and earned $100. What would happen to her wages earned if she worked for 10 hours? Explain your reasoning as it relates to direct variation.
Answer:
She would earn $200 for working 10 hours
Step-by-step explanation:
100/5= $20 per hour
10hr multiplied by $20= $200
Answer:
$200 (read below for reasoning)
Step-by-step explanation:
Since 5x2 is 10, we can double both 5 and 100 to get the amount of money Tina will earn in 5 hours. Since 100x2 is 200, Tina will earn $200 in 10 hours. In other words, her wage would double. I hope this helps!
Im stumped and timed.
Can y'all help me please???
just fill out why it is 3
Answer:hi
Step-by-step explanation:hi
Because, in reverse it's basically asking what is 12 minus 5. So, 12 minus 5 is 3!
Hopefully, this helps! :D
Ask your question below.
Write an equation in slope-intercept form of the line passing through a given point and having the given slope m=-3 through (1,9)
Answer:
y=-3x+12
Step-by-step explanation:
9=-3(1)+b
9=-3+b
9+3=3-3+b
12=b
A gannet flies 24 1/2ft above sea level. It increases its elevation by 5ft. Then it dives and changes its elevation by -47 2/3ft. After it dives, what is the gannets elevation relative to sea level?
Answer:
Its elevation relative to the sea level is -18 1/6 ft (it is 18 1/6 below sea level)
Step-by-step explanation:
Here, we want to calculate the elevation relative to sea level
The sea level refer to the base of the sea
We follow the flight procedure;
distance of 24 1/2 ft above sea level , then go further up by 5
its elevation now is 24 1/2 + 5 = 29 1/2 ft
A change of -47 2/3 ft
So the elevation now will be;
29 1/2 - 47 2/3
= 59/2 - 143/3
= (177-286)/6 = -109/6
= -18 1/6 ft
the question is the photo
Answer:
its A. B. C. D. E.
Step-by-step explanation:
all of it are correct
Identify the points after a 90 degrees clockwise rotation: A (5, -9) B (3, 1) C(-10, -10)
A (-5, -9)
B (3, -1)
C (10, 10)
A kiddie pool holds miniature plastic ducks in different colors. Sophia randomly picks up a duck and then replaces it. She repeats this process 100 times. The table shows the results of her experiment.
Duck Color Times Picked
red 30
green 20
yellow 40
blue 10
What is the relative frequency of choosing a red duck? What color of duck is there likely to be the most of in the pool?
A.
The relative frequency is 0.3. It is likely that most ducks are blue.
B.
The relative frequency is 0.2. It is likely that most ducks are yellow.
C.
The relative frequency is 0.3. It is likely that most ducks are yellow.
D.
The relative frequency is 0.2. It is likely that most ducks are green.
Answer:
C
Step-by-step explanation:
Red is 30, so 30/100 or 0.3
Most is yellow.
So its C
Hope this helps plz hit the crown :D
Answer:
c
Step-by-step explanation:
What is the product of 7/10 and 3 2/3?
1 3/5
1 13/15
2 17/30
3 7/15
What is the mean of this data set?
2, 3, 7, 4, 9
A. 4
B. 5
C. 6
D. 7
find the surface area of the cylinder using pie.
5/6x - 2/3x
combine like terms....
Answer:
1/6x
Step-by-step explanation:
5/6x - 2/3x = 5/6x - 4/6x = 1/6x
Answer:
The answer is x.
Step-by-step explanation:
PLEASE MARK BRAINLIEST!!!!!!
If the water level in a lake drops by 14 feet, the water level will still be higher than the 20-foot mark that triggers restricted water use. If L is the water level, which inequality and solution represents this situation?
A. L - 14 > 20; L > 34
B. L - 14 20; L > 6
D. L + 14 < 20; L < 6
Answer:
A is correct
Step-by-step explanation:
Here, we want to write an inequality
If the water level drops by 14 feet
what this mean is that we are subtracting 14 from the original level L
Thus, we have
L-14
Higher than 20 means that we have;
L-14 > 20
L > 20 + 14
L > 34
Simplifying algebraic expression
-8w-b/9 use b=36 & w=2
The b/9 is b over 9
Answer:
-20
Step-by-step explanation:
-8*2-36/9
-16-4
-20
A book with an original price of $20 has a 15% discount. Which expression represents the new price of the book?
A. $20 × 0.15
B. $20 × 0.985
C. $20 × 1.15
D. $20 × 0.85
Answer:
A
Step-by-step explanation:
20.00 * .15
.15 = 15 out of 100 = 15%
Someone please help solve this!! I’ll give brainlist
Answer:
Inital height is 20
Step-by-step explanation:
h= (-5x-5)(x-4)
h= -5x^2+15x+20
The functions u and w are defined as follows.
u(x) = 2x+2
w(x) = – 2x² +2
Find the value of w (u(2)).
Answer:
w(u(2)) = -70
Step-by-step explanation:
u(x) = 2x + 2
w(x) = -2[tex]x^{2}[/tex] + 2
w ( u (2) )
Find u(2), substitute in 2 for x in the function u.
u(2) = 2(2) + 2
= 4 + 2
= 6
w(u(2))
= w(6)
Now subsitute in 6 for x, in the function w.
w(6) = -2[tex](6)^{2}[/tex] + 2
= -2 * 36 + 2
= -72 + 2
= -70
w(6) = -70
w(u(2)) = -70
Please help me please!!!
what is the answer to y=-6x-3, -8x-3y=-1.
Answer:
I am in middle school
Step-by-step explanation:
..
desperate need of help plssss help :(....please
Pentagon GPEST is shown on the coordinate grid. Pentagon Pentagon GPEST is dilated with the origin as the center of dilation using the rule (x,y)→(0.2x,0.2y) to create pentagon G'P'E'S'T'.
Which statement is true?
Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is greater than 1.
Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is less than 1.
Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is greater than 1.
Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.
Coordinate plane with 4 quadrants. x-axis runs from negative 6 to 4 and y-axis runs from negative 5 to 5 and arrows on both ends. Pentagon with vertices at G at negative 3 comma 4. P at 2 comma 4. E at 4 comma 2. S at 2 comma negative 3. T at negative 3 comma negative 3.. Vertices labeled with letters.
Answer:
Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.
Step-by-step explanation:
Sorry im late homie
Option (4). Pentagon G'P'E'S'T' will be smaller than pentagon GPEST because the scale factor is less than 1.
Transformation of a figure by dilation: If a figure with the given vertex (x, y) is dilated with a scale factor
'k', image point will follow the rule,
(x, y) → (kx, ky)
If k > 1, image will be larger than preimage.If k < 1, image will be smaller than preimage.
Rule for the dilation given in the question,
(x, y) → (0.2x, 0.2y)
Here, k = 0.2 which is less than 1.
Therefore, pentagon G'P'E'S'T' will be smaller than pentagon GPEST.
Option (4) will be the correct option.
Learn more about the transformation here,
https://brainly.com/question/13166355?referrer=searchResults
Will mark brainliest for whoever answers
Answer:
a; r=1 is the answer
Step-by-step explanation:
Answer:
c).r=1
Step-by-step explanation:
hope this help
pick me as the brainliest
A marching band is practicing. The band director sees the drum major hit a drum. How far away is the director if he hears the drumbeat in 0.40 seconds? The speed of sound is 330 m/s.
12 m
132 m
264 m
825 m
Answer:
132 m
Step-by-step explanation:
distance= speed*time
d=0.4*330
=132
The distance between the director and the drum will be; 132 m.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken.
Sound is a vibrate that move through a medium that can be solid, liquid or gas in the form of mechanical wave. In short, sound is an energy made by vibration.
Noted that the intensity of the sound is decrease by the length of the travel it pass or we can say, the far the sound source from the listener, the minor the sound they can hear.
The formula of the sound in correlation with time of hear and distance is ;
time of hear = speed of sound : distance.
As per data given, time of hear = 0.40s;
speed of sound = 330 m/s.
The distance will be:
Distance= speed x time
d = 0.4 x 330
d = 132
Learn more about speed here;
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Which of the following binomials is not a factor of 3x^4-x^3-63x^2-39x+20?
A.(x-1)
B.(x-5)
C.(x+1)
D.(x+4)
Answer:
HD jxjdhdhehehrhrnrnr 4
Step-by-step explanation:
ydydhdhdbe dngive me coins
The image below shows two dilated figures with lines AB and A'B' drawn. If the larger figure was dilated using a scale factor of 3, what relationship do lines AB and A'B' have? (10 points)
Answer:
They have the same side lengths/angles except one is smaller than the other
Step-by-step explanation:
the smaller one is a "mini" of the larger one. a exact copy
The dilation is solved and the scale factor of line is A'B' = 3AB
What is Dilation?Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.
Given data ,
Let the scale factor of the dilation be represented as k
Now , the scale factor k = 3
So , the ratio of the corresponding sides is given by
A'B' / AB = 3
Multiply by AB on both sides , we get
A'B' = 3AB
Hence , the dilation is simplified as A'B' = 3AB
To learn more about dilation click :
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HELP ME PLEZ
Im timed lol
Answer:
1.) $1
2.)$4
3.)$12
4.)3/4
Step-by-step explanation:
32(.5)=16
she had 16 left after lunch. 16(.25)=4
16-4=12
1/2=2/4
2/4+1/4=3/4
Answer:
1) lunch 16
2) coffee 4
3) 12
4) 3/4ths or .75 or 75%