Answer:
gradient = 4
Step-by-step explanation:
Calculate the gradient using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 14)
m = [tex]\frac{14-2}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4
which function below is the inverse of f(x)= 7x-1/2
Answer: [tex]f^{-1}(x)=\frac{x}{7}+\frac{1}{14}[/tex]
Step-by-step explanation:
If we have y=7x-1/2, the inverse is where we solve for x instead of y.
We can isolate x to get 7x=y+1/2, then divide by 7 to get x=y/7+1/14.
Therefore, [tex]f^{-1}(x)=\frac{x}{7}+\frac{1}{14}[/tex].
Hope that helped,
-sirswagger21
Aramis showed the division of 6p2 + 9p + 3 by 3p. A + 3 + B What are the values of A and B? A = 2p and B = p A = 3p and B = p A = and B = A = 2p and B =
Answer:
D) A = 2p and B = 1/p
Step-by-step explanation:
To divide this,
we first see how many times 3p will go into 6p².
[tex]\frac{6p^2}{3p} = 2p[/tex]
It will go in 2p times; this goes up top of the problem.
Multiplying back through, we have
[tex]2p*3p = 6p^2[/tex]
Subtracting this from the first term under the box, we have
[tex]6p^2-6p^2= 0.[/tex]
This cancels. Bring down the next term, 9p.
See how many times 3p goes into 9p = [tex]\frac{9p}{3p}=3[/tex]
it goes in 3 times. This goes up top, beside the 2p. We separate them with a +, since the 3 is positive.
Multiplying back through, we have 3(3p) = 9p.
Subtract this from the line above; 9p-9p = 0.
Bring down the last term, 3.
Since this is not 0, this is the remainder.
This gives us
2p + 3 R 3;
writing this as a rational expression, we have
[tex]2p + 3 + \frac{3}{3p}[/tex]
The remainder term, [tex]\frac{3}{3p}[/tex], will simplify to 1/1p or 1/p;
this gives us
[tex]2p + 3 + \frac{1}{p}[/tex]
Therefore, the answer is A = 2p and B = 1/p
Answer:
D) A = 2p and B = 1/p
Step-by-step explanation:
pls help plsplsplsplsplsplspspslpssplsplsplspslpslpslsplspsps
Answer:
Option A, Option C, Option E
Step-by-step explanation:
The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.
[tex]1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm[/tex]
Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;
[tex]1000 + 200 = 1200 square cm,\\Option A - Correct![/tex]
The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;
[tex]20 * 60 = 1200 square cm,\\Option B - Correct![/tex]
Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!
Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!
This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!
[tex]1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct![/tex]
1/3 of the members Voted know what fraction of the members did not know
Answer:
2/3 did not vote no
Step-by-step explanation:
1/3 voted no
The total is 1
1 - 1/3
3/3 -1/3
2/3 did not vote no
A cone has a height of 7ft and a radius of 4ft which equation can find the volume of the cone v=1.3 (7.2)
Answer:
The volume of a cone is:
V=(hπr^2)/3, where h=height and r=radius
V=(7π4^2)/3
V=112π/3 ft^3
V≈117.29 ft^3 (to nearest hundredth of a cubic foot)
Step-by-step explanation:
What is the answer ?????????????????
Answer:
The answer is :
[tex] \cos(51) = 0.63[/tex]
[tex] \sin(63) = 0.89[/tex]
[tex] \tan(12) = 0.21[/tex]
cos X +1 / cos X=40, find the value of cos square X +1/ cos square X
This is pseudo-trig. It has a trig function but it's irrelevant.
Let y = cos X
y + 1/y = 40
Squaring,
y² + 2(y)(1/y) + 1/y² = 1600
y² + 2 + 1/y² = 1600
y² + 1/y² = 1598
cos² X + 1/cos²X = 1598
Answer: 1598
How do you solve the inequality 2x-3<-52x−3<−5
Answer:
Idk it really hard to do
Expand and simplify . 4a(2+3b)-5b(4a-10). PLEASE HELP. BEST ANSWER RECEIVES A BRIANLIEST
Answer:
12a+62b
Step-by-step explanation:
4a(2+3b)-5b(4a-10)
opening brackets
=8a+12b-20a+50b
=8a-20a+12b+50b
=-12a+62b
What are the coordinates of the image of the point (2, –6) under a dilation with a center of (0, 0) and a scale factor of 1/2 ? A. (0, 0) B. (1, –3) C. (2, –6) D. (4, –12)
Answer:
B. (1, -3)
Step-by-step explanation:
When you dilate from the origin (0, 0) by a scale factor of 1/2, multiple each coordinate point by 1/2.
(2, -6)
2 × 1/2 = 1
-6 × 1/2 = -3
(1, -3)
I hope this helps :))
Answer:
The answer is (1,-3)
Step-by-step explanation:
I took the test :)
Translate this sentence into an equation.
The product of Victor's age 7 and is 84 .
Use the variable v to represent Victor's age.
Answer:
The product of Victor's age and 7 is 84 in equation form is 7v=84
Step-by-step explanation:
Let v be the Victor's age.
We are supposed to Translate this sentence into an equation
The product of Victor's age and 7 is 84
Victor's age = v
Product of victor's age and 7 =[tex]7 \times v[/tex]
We are given that their product is 84
So,[tex]7 \times v =84[/tex]
Hence The product of Victor's age and 7 is 84 in equation form is 7v=84
What does this problem equal?
(h-k)(3) =
Answer:
3h−3k
Step-by-step explanation:
Rina is 6x+3/8 feet tall and Ryan is 5x+1/8 feet tall. How much taller is Rina than Ryan
Answer:
Rina is 1/4 feet taller than Ryan
Step-by-step explanation:
(height of Rina)-(height of Ryan)
6x+3/8-(5x+1/8)
6x+3/8-5x-1/8
x+3-1/8
x+2/8
x+1/4
how old am I?
16
17
4
Answer:
16
Step-by-step explanation:
(if u are 4, i'm gonna scream)
Answer:
16
Step-by-step explanation:
If you are 4, just no.
A pump empties the pool at the rate of 1,000 gal every 4 hours. how long does it take to pump out 20,000 gallons?
Answer:
80 hours
Step-by-step explanation:
We can use ratios to solve
1000 gal 20000
-------------- = ------------------
4 hours x hours
Using cross products
1000x = 4*20000
1000x = 80000
Divide each side by 1000
x = 80000/1000
x = 80
80 hours
URGENT!!!!! LAST QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!URGENT!!!!!
16. Which piece of information below will not help you prove that triangles ABC and DEF are congruent using ASA?
IF YOU REALLY LOOK YOU CAN SEE THE LETTERS BUT IN CASE HERE:
PIC BELOW ON THE LEFT TRIANGLE: A IS ON THE BOTTOM LEFT. B IS AT THE TOP, POINTY PART, C IS ON THE BOTTOM RIGHT
ON THE RIGHT TRIANGLE: D IS ON THE BOTTOM LEFT. E IS AT THE TOP, POINTY PART, F IS ON THE BOTTOM RIGHT
A) AC=DF
B) AB=DE
C) B=E
D) A=D
Answer: A) AC=DF
Step-by-step explanation:
Angle-Side-Angle (ASA) Postulate: If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.
Answer A is the only one that wouldn’t help you prove that these triangles are congruent.
Kathleen bought 8.3 ounces of walnuts. The next day, she used 1.7 ounces of them in a recipe. How many ounces does she have left?
Answer:
6.6 ounces left
Step-by-step explanation:
Take the amount she had and subtract the amount she used
8.3-1.7 =6.6
Answer:
She has 6.6 ounces left.
what is the value of the expression why y=2
Answer:
Where’s the problem
Step-by-step explanation:
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer & Step-by-step explanation:
The figure shown in the diagram is a square. Squares have equal lengths on all sides. So, in order to find out the side length, we will have to factor the area.
x² - 12x + 36
First, you will break down x² which will just be x and x. Since 12x is negative and 36 is positive, then we will use a minus sign.
(x - )(x - )
Now, we break down 36 which will be 6 and 6. After we do that, we will have our answer.
(x - 6)(x - 6)
So, the side length of the square is (x - 6) meters.
Which is equivalent to 64 Superscript one-fourth?
Step-by-step explanation:
Info : 2^(6)=64
then
64^(1÷4) = (2^(6))^(1÷4)
=2^(6÷4)
=2^(3÷2)
=2√(2)
=2.828427124746
Answer:
2√2
Step-by-step explanation:
edge 2020
What common fraction must be added to 1/6 to equal 1/2(Working please)
Answer:
1/3
Step-by-step explanation:
let the common fraction be x
we get,
1/6 + x = 1/2
x = 1/2 - 1/6
x = 6 - 2/12
x = 4/12
x = 1/3
VERIFICATION:1/6 + x = 1/2
1/6 + 1/3 = 1/2
3 + 6/18 = 1/2
9/18 = 1/2
1/2 = 1/2
David correctly factored the expression m2 -12m - 64 which expression did he write ?
1. (m - 8)(m - 8)
2. (m - 8)(m + 8)
3. (m - 16)(m + 4)
4. (m + 16)(m - 4)
Answer:
Step-by-step explanation:
Hints: look at the last term (-64) and the middle term (-12m).
Note that 64 is the product of 4 and 16, and that -4(16) = -64 or (-16)(4) = -64. the last term of thh given expression. Furthermore, if we look at the composition of the middle term (-12m), we realize that 4 - 16 = -12 must lead towards a solution.
Focus on possible Answer 3: Here -16m + 4m = -12m (which is what we'd hoped for, matching the middle term of the given expression.
Then m^2 - 12m - 64 = (x - 16)(x + 4) (Answer 3)
NEED ANSWERS FAST AS CAN, I WILL GIVE BRAINLIEST TO THE RIGHT ANSWERS. 1.Using the following image, find the midpoint of the line by completing the problems below. 2.Given the points (−2,5)and (6,−1)the midpoint is? 3.Given the points (9,−4)and (−5,2)the midpoint is ? 4.Given the points (−2,−5)and (−6,7)the midpoint is...The graph doesn't go with 2-4
Answer:
Calculate distance first - so using the image we know that if we use pythogorean theorm we can get 2 vectors of this line, 1 completely vertical and one completely horizontal. Apply pythogorean theorm to the line and use for all other question. So 6^2+2^2=c^2
36+4=c^2
distance √40 half of it is √10
So we can use for this for it. (4-√10, 0-√10) so its (4-√10, -√10) for first one
Now that we dont have the image for the line we can apply the distance formula because we dont have clear view of points for #2. -2-6 = -8 then we need 5-1 = 4, -8^2+4^2 = c^2 so then sqrt(80) is distance. 2√5 is half. So then we subtract from (-5, 2) highest point on graph.( -5-√20, 2-√20).
Since this is heavily on writing I expect you to do the rest. Calculating the distance and pythogorean theorm on your own.
First 2 answers are
(4-√10, -√10)
( -5-√20, 2-√20)
Jeremy analyses one of his parachute jumps. He draws a graph showing his velocity up to the opening of his parachute. a) Estimate Jeremy's acceleration at t = 10s to 1 decimal place. b) Estimate his average speed for this part of the jump. Give your answer to two significant figures.
Answer:
Jeremy's acceleration is about [tex]1\,\frac{m}{s^2}[/tex] at t =10 s
His average speed is about 44.5 m/s in this section of his jump approximating with points on the curve (under-estimate)
His average speed is about 46 m/s if using the tangent line (over estimate)
Step-by-step explanation:
Jeremy's acceleration can be estimated by the curve's derivative at that point. That is the slope of the tangent line to the velocity curve at x = 10 sec. Please see attached image where the tangent line is drawn in orange, and the points to use to calculate its slope are drawn in green.
These points are : (6, 42) and (14,50) which using the slope formula give:
[tex]slope=\frac{y_2-y_1}{x_2-x_1}= \frac{50-42}{14-6}=\frac{8}{8} \frac{m}{s^2} = 1\,\frac{m}{s^2}[/tex]
So his acceleration at that point is about [tex]1\,\frac{m}{s^2}[/tex]
Now, using about the same interval of x-values (from 6 to 14), the corresponding speeds are approximately: 40 (for time 6 seconds) and 49 (for time 14 seconds (look for the red dots on the attached image). Since the average velocity is given by the integral of the function between those points divided by the length of the interval where it is calculated:
[tex]v_{average}=\frac{area}{interval\,\,length}[/tex]
and we don't have the actual velocity function to estimate the integral, we can approximate this area by that of a trapezoid that connects the red dots with the bottom of the horizontal axis (see red trapezoid in the image). Clearly from the image, this approximation would give us an under-estimate of the actual average speed.
The area of this trapezoid is: approximately:
[tex]Trapezoid\,\, area=(49+40)\,8/2=356[/tex]
Then the average velocity estimated from it is:
[tex]v_{average}=\frac{356}{8} \frac{m}{s} =44.5\,\frac{m}{s}[/tex]
If the area is approximated instead with the trapezoid form by the green points we used to calculate the acceleration (this would give us an over-estimate):
[tex]Trapezoid\,\, area=(50+42)\,8/2=368[/tex]
Then the average velocity estimated from it is:
[tex]v_{average}=\frac{368}{8} \frac{m}{s} =46\,\frac{m}{s}[/tex]
while his actual instantaneous velocity seems to be about 46 m/s from the graph
Answer:
a) 1.0
b) s=45
Step-by-step explanation:
I need help ASAP I shall give brainlyist (idk how to spell)
Answer:
[tex]5cm[/tex]
Step-by-step explanation:
[tex]r=\sqrt{\frac{V}{\pi h} } \\=\sqrt{\frac{225.5}{\pi *3} } \\=5cm[/tex]
A white tail deer can sprint at speeds up to 30 mph American bison can run at speeds up to 3520 ft./min. which animal is faster and by how many miles per hour
Answer:
Bison, by 10 mph
Step-by-step explanation:
Convert ft/min to mi/hr.
3520 ft/min × (1 mi / 5280 ft) × (60 min / hr) = 40 mi/hr
The bison is faster than the deer by 10 mph.
Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
A pharmacy claims that the average medication costs $32, but it could differ by as much as $8. Write an absolute value inequality to determine the range of medication costs at this pharmacy.
Answer:
| 32 - c | [tex]\leq[/tex] 8
Step-by-step explanation:
c represents the cost of the medication
This absolute value inequality makes sure that the difference is less than or equal to 8, whether or not the medication is $8 more or less than the average.
Answer:[x - 32] <(with line under it) 8
Step-by-step explanation:
The following data shows prices of meal options at Bob's Burgers. Bob
wants to construct a histogram from this graph. Prices of Meal Options at
Bob's Burgers: $6, $7, $7, $8,$9,$10, $10, $11, $11, $12,$12, $13, $13, $13,
$13,$14, $14, $14, $15, $15, $15, $15, $16, $16, $17. How many meals could
belong in the interval $10.99 - $13.99? *
Answer:
Step-by-step explanation:
The number of meals that could
belong in the interval $10.99 - $13.99 is represents the frequency of that interval. The interval is also called the class width. Since there are no decimals, the meals must be greater than or equal to $11 and lesser than $14. Looking at the data, the meals that fall within the interval are
$11, $11, $12,$12, $13, $13, $13,$13
The frequency is 8
Therefore, 8 meals could
belong in the interval $10.99 - $13.99
a cuboid has length 4.2 m breadth 1.4 m and height 1.2 m . find the number of cubes each of lengh 20cm ,which canbe cut from the cuboid.
l= 4.2 m = 4.2 * 100 = 420 cm
b = 1.4 m = 1.4*100 = 140 cm
h =1.2 m =1.2 *100 =120 cm
Volume of cuboid = l*b*h = 420 * 140 * 120 = 705600 cubic cm
Volume of cube = a*a*a = 20*20*20 = 8000 cubic cm
No.of cubes = Volume of cuboid / volume of cube
= 705600 / 8000 = 882 cubes
or 420*140*120 / 20*20*20 = 42*14*12/2*2*2 = 21*7*6 = 882 cubes
