Answer:
f⁻¹(x)= - 4x/3 +8
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
Order the fractions 1 / 6, 2 / 5, 3 / 5, 3 / 7 from least to greatest,
Answer:
1/6, 2/5, 3/7, 3/5
The United States Capitol is
located at (2, 4) on a coordinate grid. The White
House is located at (-10, 16) on the same coordinate
grid. Find two different points on a segment joining
the United States Capital and the White House such
that the ratio of the two shorter segments created by
each point is 1:3.
Answer:
The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].
Step-by-step explanation:
At first we need to calculate the vector distance between [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex] by following vectorial subtraction:
[tex]\overrightarrow{AB} = \vec B - \vec A[/tex] (Eq. 1)
Where:
[tex]\overrightarrow{AB}[/tex] - Vector distance between points A and B, dimensionless.
[tex]\vec A[/tex], [tex]\vec B[/tex] - Vector distance between each point and origin, dimensionless.
If we know that [tex]A(x,y) = (2, 4)[/tex] and [tex]B(x,y) =(-10,16)[/tex], then we have the following result:
[tex]\overrightarrow {AB} = (-10,16)-(2,4)[/tex]
[tex]\overrightarrow{AB} = (-10-2,16-4)[/tex]
[tex]\overrightarrow{AB} = (-12,12)[/tex]
Besides, we can find the location of any point inside the line segment by using the following vectorial equation:
[tex]\vec C = \vec A + r\cdot \overrightarrow{AB}[/tex] (Eq. 2)
Where:
[tex]r[/tex] - Segment factor, dimensionless.
[tex]\vec C[/tex] - Location of resulting point, dimensionless.
There are two different options for the location of resulting point: [tex]r_{1} = \frac{1}{4}[/tex] and [tex]r_{2} = \frac{3}{4}[/tex]. Now we proceed to find each option:
[tex]r_{1} = \frac{1}{4}[/tex]
[tex]\vec C_{1} = (2,4) +\frac{1}{4}\cdot (-12,12)[/tex]
[tex]\vec C_{1} = (2,4)+(-3,3)[/tex]
[tex]\vec C_{1} =(-1,7)[/tex]
[tex]r_{2} = \frac{3}{4}[/tex]
[tex]\vec C_{2} = (2,4) +\frac{3}{4}\cdot (-12,12)[/tex]
[tex]\vec C_{2} = (2,4) +(-9,9)[/tex]
[tex]\vec C_{2} = (-7,13)[/tex]
The two different point on a segment joining the United States Capital and the White House such that the ratio of the shorter segments created by each is 1 : 3 are [tex]\vec C_{1} =(-1,7)[/tex] and [tex]\vec C_{2} = (-7,13)[/tex].
Hector and his brother, Lee, collect toy cars. Hector has c cars, where c > 10. Lee has 35% more cars than Hector, but he donates 10 of them to charity. Which expression below does NOT represent how many toy cars Lee has after his donation?
a) 1.35c − 10
b) c + 0.35c − 10
c) −10 + 1.35c
d) 1.25c
Answer:
b) c + 0.35c − 10
Step-by-step explanation:
Write an equation in point-slop form that
goes through the points (5, 7) and (-1, 3).
Answer:
y−7=2/3⋅(x-5)
Step-by-step explanation:
Find the point-slope form.
Mona, Tabitha, and Reid are at a frozen yogurt shop. At the shop, frozen yogurt and toppings are charged by the ounce. The following table shows the weight and cost of each person's bowl.
Person Mona Tabitha Reid
Weight of bowl 9.2 ounces 8.1 ounces 7.8 ounces
Cost of bowl $4.14 $3.65
A. What does the yogurt shop charge per ounce?
B. What should Reid's bowl cost?
Answer:
A) $0.45 per oz
B) $3.51
Step-by-step explanation:
4.14/9.2 = 0.45
0.45 x 7.8 = 3.51
help!!!!!!!!!!!!!!!!!!!
Answer:
154/350 = n/100
n = 0.51333 or 51.333% (I don't know what decimal your class rounds to but it is 3 repeating)
Jay won 51.333% of the solitaire games he played. Hope this helps!!
Step-by-step explanation:
Help pleaseeeeeeeeee
Answer:
pretty sure its the 4th on reflection and rotation,
Step-by-step explanation:
I haven't done these in a while, but am 90 % sure
Answer:
D, Reflection and Rotation.
Step-by-step explanation:
Refelction is taking an image and flipping it (so it's backwards), and roation is turning it.
-process of elimination:
-must be reflected
-leaves 2 answers
-translation means just moving something
-it's D
please help and tysm to whoever does :))
Answer:
26. 1/2
27. 1/4
28. 25
29. 20
Answer:
26) 50% or 1/2 27) 25% or 1/4 28) 25 times 29) 20 times
Step-by-step explanation:
26) A is divided in half of the pie graph, where B and C make up the other half, but you are only concerned about A, so it is half of 100%. 100% / 2 = 50%
27) B and C make up the other half of the pie chart. B is half of the half, so that means (1/2) / 2 or (1/2)*(1/2) which equals 1/4. 1/4 times 100 = 25%.
28) From question 26, you are expected to land on A 50% of the time. So 50% of 50 times is equal to 25 times. 50% of something is equal to 1/2 of something, so you divide 50/2 or multiply 50 * (1/2)
29) From question 27 B and C make up the other half of the pie chart. If B is 1/2 of 1/2, so is C, meaning that you have an equal chance of landing C as you have a chance of landing on B - 25% or 1/4. If you spin 300 times, you calculate 25% or 1/4 of 300. To do that you either multiply 300* (1/4) or do 300 / 4.
solve this fraction
11/12 -7/9 =?
Answer:
5/36
Step-by-step explanation:
A survey of 100 people found that 35 people exercise in the morning,45 people exercise in the afternoon,and 20 people exercise at night. Tara claims that 35:55,45:80,and 20:65 are possible ratios from this date. Jim claims that 35:100,45:100,and 20:100 are possible ratios from this date. Who is correct? Explain
Answer:
Jim is correct
Step-by-step explanation:
A survey of 100 people found that 35 people exercise in the morning,45 people exercise in the afternoon,and 20 people exercise at night.
People who exercise in the morning = 35
= 35/100 = 7/20
Hence, the ratio is 35:100
People who exercise in the afternoon = 45 = 45/100 = 9/20
the ratio is 45:100
People who exercise at night = 20
= 20/100 = 1/5
= The ratio is 20:100
The possible ratios from this date are : 35:100,45:100,and 20:100
Jim is correct
What was the purpose for the creation of the Pythagorean theorem?
Answer:
Pythagoras believed that numbers were not only the way to truth, but truth itself. Through mathematics, one could attain harmony and live an easier life. He is said to have proposed a number of mathematical theorems to this end but, of all these, only the famous Pythagorean Theorem remains.
Step-by-step explanation:
marton charges $15 for every five bags of leaves he rakes last weekend he raked raked 20 bags of leaves how much money did he earn
Answer:
20*15=300
He earned $300
if f(x) = x^3+2x^2-5, then what is f(-3)
Answer:
f(- 3) = - 14
Step-by-step explanation:
To evaluate f(- 3) substitute x = - 3 into f(x), that is
f(- 3) = (- 3)³ + 2(- 3)² - 5 = - 27 + 2(9) - 5 = 27 + 18 - 5 = - 14
The wavelength of violet light is 4.0 x 10^−7 m. The wavelength of red light is 6.5 x 10^−7 m. How much longer is the wavelength of red than violet?
A 2.5 × 10^–7 m
B 1.05 × 10^–7 m
C 2.5 × 10^–6 m
D 1.05 × 10^–6 m
Answer:
A 2.5 × 10^–7 m
Step-by-step explanation:
Given
wavelength of violet light = 4.0 x 10^−7 m.
The wavelength of red light = 6.5 x 10^−7 m
To find the how much longer is wavelength of red light than violet light we have to find difference of wavelength of red and violet light
Difference in wavelength of red light and violet light =
wavelength of red light -wavelength of violet light
= 6.5 x 10^−7 m - 4.0 x 10^−7 m
Difference in wavelength of red light and violet light = (6.5 - 4.0)*10^−7 m
Difference in wavelength of red light and violet light =2.5 x 10^−7 m
Thus,
wavelength of red light is 2.5 x 10^−7 m longer than wavelength of violet light
option A
What is the percent of the discount for a $60 item that sells for $45?
Answer:
75%
Step-by-step explanation:
45/60 x X/100
45x100
4500/60
75%
A field goal kicker lines up to kick a 44 yard (40m) field goal. He kicks it with an initial velocity of 22m/s at an angle of 55∘. The field goal posts are 3 meters high.Does he make the field goal?What is the ball's velocity and direction of motion just as it reaches the field goal post
Answer:
The ball makes the field goal.
The magnitude of the velocity of the ball is approximately 18.166 meters per second.
The direction of motion is -45.999º or 314.001º.
Step-by-step explanation:
According to the statement of the problem, we notice that ball experiments a parabolic motion, which is a combination of horizontal motion at constant velocity and vertical uniform accelerated motion, whose equations of motion are described below:
[tex]x = x_{o}+v_{o}\cdot t\cdot \cos \theta[/tex] (Eq. 1)
[tex]y = y_{o} + v_{o}\cdot t \cdot \sin \theta +\frac{1}{2}\cdot g\cdot t^{2}[/tex] (Eq. 2)
Where:
[tex]x_{o}[/tex], [tex]y_{o}[/tex] - Coordinates of the initial position of the ball, measured in meters.
[tex]x[/tex], [tex]y[/tex] - Coordinates of the final position of the ball, measured in meters.
[tex]\theta[/tex] - Angle of elevation, measured in sexagesimal degrees.
[tex]v_{o}[/tex] - Initial speed of the ball, measured in meters per square second.
[tex]t[/tex] - Time, measured in seconds.
If we know that [tex]x_{o} = 0\,m[/tex], [tex]y_{o} = 0\,m[/tex], [tex]v_{o} = 22\,\frac{m}{s}[/tex], [tex]\theta = 55^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s}[/tex] and [tex]x = 40\,m[/tex], the following system of equations is constructed:
[tex]40 = 12.618\cdot t[/tex] (Eq. 1b)
[tex]y = 18.021\cdot t -4.904\cdot t^{2}[/tex] (Eq. 2b)
From (Eq. 1b):
[tex]t = 3.170\,s[/tex]
And from (Eq. 2b):
[tex]y = 7.847\,m[/tex]
Therefore, the ball makes the field goal.
In addition, we can calculate the components of the velocity of the ball when it reaches the field goal post by means of these kinematic equations:
[tex]v_{x} = v_{o}\cdot \cos \theta[/tex] (Eq. 3)
[tex]v_{y} = v_{o}\cdot \cos \theta + g\cdot t[/tex] (Eq. 4)
Where:
[tex]v_{x}[/tex] - Final horizontal velocity, measured in meters per second.
[tex]v_{y}[/tex] - Final vertical velocity, measured in meters per second.
If we know that [tex]v_{o} = 22\,\frac{m}{s}[/tex], [tex]\theta = 55^{\circ}[/tex], [tex]g = -9.807\,\frac{m}{s}[/tex] and [tex]t = 3.170\,s[/tex], then the values of the velocity components are:
[tex]v_{x} = \left(22\,\frac{m}{s} \right)\cdot \cos 55^{\circ}[/tex]
[tex]v_{x} = 12.619\,\frac{m}{s}[/tex]
[tex]v_{y} = \left(22\,\frac{m}{s} \right)\cdot \sin 55^{\circ} +\left(-9.807\,\frac{m}{s^{2}} \right)\cdot (3.170\,s)[/tex]
[tex]v_{y} = -13.067\,\frac{m}{s}[/tex]
The magnitude of the final velocity of the ball is determined by Pythagorean Theorem:
[tex]v =\sqrt{v_{x}^{2}+v_{y}^{2}}[/tex] (Eq. 5)
Where [tex]v[/tex] is the magnitude of the final velocity of the ball.
If we know that [tex]v_{x} = 12.619\,\frac{m}{s}[/tex] and [tex]v_{y} = -13.067\,\frac{m}{s}[/tex], then:
[tex]v = \sqrt{\left(12.619\,\frac{m}{s} \right)^{2}+\left(-13.067\,\frac{m}{s}\right)^{2} }[/tex]
[tex]v \approx 18.166\,\frac{m}{s}[/tex]
The magnitude of the velocity of the ball is approximately 18.166 meters per second.
The direction of the final velocity is given by this trigonometrical relation:
[tex]\theta = \tan^{-1}\left(\frac{v_{y}}{v_{x}} \right)[/tex] (Eq. 6)
Where [tex]\theta[/tex] is the angle of the final velocity, measured in sexagesimal degrees.
If we know that [tex]v_{x} = 12.619\,\frac{m}{s}[/tex] and [tex]v_{y} = -13.067\,\frac{m}{s}[/tex], the direction of the ball is:
[tex]\theta = \tan^{-1}\left(\frac{-13.067\,\frac{m}{s} }{12.619\,\frac{m}{s} } \right)[/tex]
[tex]\theta = -45.999^{\circ} = 314.001^{\circ}[/tex]
The direction of motion is -45.999º or 314.001º.
Can someone help me with the equation below??
Answer:
The answer is number two o x< -2 or x > 5
Answer:
x<-2 or x>5 (the second choice)
Step-by-step explanation:
This is an "or" inequality. Both of the circles on the number line are open, so the signs we will use are going to be either < or >.
The shaded line on the left means x is less than -2 (x<-2). The shaded line on the right means x is greater than 5 (x>5).
If we write this as an "or" inequality, it will be...
x<-2 or x>5
In case you didn't know, if this was an "and" inequality, the shaded lines would intercept. But in this case, the shaded parts went opposite ways, so this is most likely an "or" inequality.
Hope this helped you out!! Have an amazing day c:
evaluate each expression 5(10-1)
Answer:
the answer is 45 if its is what you need
Step-by-step explanation:
i got 100 on test and had that question
Find the surface area of the cone in items of 17 and 3
Answer:
Area = 1829.87
Step-by-step explanation:
I’ll give the Brainliest.
Answer:
1.w+15=165
2.w equals 165 multiplied by 15
Step-by-step explanation:
There's really no step-by-step explanation its pretty simple.
A world-class marathon number can finish 26.2 miles in 2 hours. What is the rate of speed for the runner?
5 points
for every 5 hours that he works, andre is paid 60.20
use this information to write the linear equation to represent this situation.
A=___h+____
Answer:
this is hard..
Step-by-step explanation:
i tjhink it 109?
90, 30, 10, 3.33,
90 is the 1st term.
a) What is the pattern?
Answer:
÷3
Step-by-step explanation:
90÷3 = 30
30 ÷ 3 = 10
10 ÷ 3 = 3.33
What is the measure of angle q°?
70°
110°
90°
180°
Answer:
sorry but where are the angles
The value of q in the quadrilateral 70°
Given that a quadrilateral we need to find the value of q,
Since we can see that the opposite angles are equal so the quadrilateral can be a parallelogram,
Therefore, we get, q and 110° is consecutive angles and the consecutive angles in a parallelogram are supplementary angles,
So,
110° + q° = 180°
Solve for q,
q° = 180° - 110°
Simplification
q° = 70°
Hence the value of q is 70.
Learn more about quadrilateral click;
https://brainly.com/question/13805601
#SPJ6
2/3y + x =4 Solve for y
Answer:
y = -3x + 12/2
Step-by-step explanation:
Step 1: Add -x to both sides
x + 2/3 + -x = 4 + -x
2/3y = -x + 4
Step 2: Divide both sides by 2/3
2/3y ÷ 2/3 = -x + 4 ÷ 2/3
y = -3x + 12/2
Find the value of x.
O x = 2
O x = 3
Ox=33
O x = 52
Answer:
x=3
Step-by-step explanation:
i just know
Im building my first gaming pc, and part suggestions/tips?
Answer:
-Do not touch the contacts or interconnects or pads on ( RAM/DIMM's, GPU / Graphic's Card's, CPU / Processor )
-Not being concerned or cautious about ESD
-Do not over torque / over tighten screws.
-Not giving yourself enough room to build
-Not using a magnetic tray when building
Answer:
Parts
GEFORCE RTX 2060 SUPER this is a good graphics card for 399
intel core i5 is a pretty good budget processer
I recomend a nzxt case they are pretty good
these are only some parts but these are pretty good budget
Mary and her family ordered a large pizza for dinner. Half of the pizza is plain and half of the
pizza has pepperoni. Mary loves pepperoni so she ate 1/5 of the full pizza (all of which had pepperoni). How much of the remaining full pizza has pepperoni?
Answer:
1.5/5 or 1 1/2/5
B: 3/10
Step-by-step explanation:
2.5/5 is the whole part of pizza with pepperoni. So 1/5 subtracted from 2/5/5 is 1.5 The remaining part of the pizza with pepperoni is 1.5/5!
1.5/5 is 0.3
3/10=0.3!
The product of b and 3 is greater than or equal to -30.
Answer:
greater than
Step-by-step explanation:
positive is higher than negative
$23.96 for 4 pounds of salamI, round to the nearest tenth. What is the answer?
Answer:
20
Step-by-step explanation:
if you are given 25 that rtn 10 would be 30 but you have given me a number lover than that so that would be 20
