Answer:
Step-by-step explanation:
The value of y varies directly with x. When y = 75, x = ½ . What is the value of y when x is 2 ¼ ? A. 168.75 C. 66.67 B. 16.67 D. 337.5
y ∝x
y = kx
k = y/x
(135). I buy 7 CDs costing £5.99. How much change do I get from £50?
Answer:
8.07, excluding taxes.
Step-by-step explanation:
7x5.99 = 41.93
50-41.93 = 8.07
20 points and brainliest pls help!!!
Answer:
t=20
Step-by-step explanation:
can you help me___________________________________
Find the length of the missing side. Round to the nearest tenth.
Find the length of the missing side. Round to the nearest tenth.
Answer:
Step-by-step explanation:
hey watch it fatty
Find the probability that
x <= -3
Answer:
30%
Step-by-step explanation:
there are two numbers that fit in the x<=3 category, those being -3 and -5, so you add the two decimals for them (.17 and .13) to get .30 and move the decimal two times to the right to make it in percentage form.
The probability of P(x ≤ -3) is 0.30 or 30% if the probability table is provided.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have given a probability table in the picture.
P(x ≤ -3) = P(x = -5) + p(x = -3)
From the table:
P(x ≤ -3) = 0.17 + 0.13
P(x ≤ -3) = 0.30 or 30%
Thus, the probability of P(x ≤ -3) is 0.30 or 30% if the probability table is provided.
Learn more about the probability here:
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A plane travels at a speed of 690 feet per second. How many feet will passengers travel on the plane in one minute?
Answer:
41,400 ft per second
Step-by-step explanation:
1 minute is 60 seconds.
x = ft per second
Ratio:
[tex]\frac{690}{1} =\frac{x}{60} \\\\x=41400[/tex]
can someone help me to solve the first problem only please I will mark you the brainly helpful answers pls!
Answer:
When 2 lines are parallel, the sum of interior corresponding angles = 180
120 + b = 180
b = 180 - 120 = 60
a + 30 = 180
a = 180 - 30 = 150
Which best compares the volumes of pyramid X and pyramid Y?
A. The volumes of X and Y are equivalent.
B. The volume of X is half the volume of Y.
C. The volume of Y is half the volume of X.
D. The volume of X is 10 times the volume of Y.
Answer:
The pyramid X has a square base with base length of 5 cm, base width of 6cm and makes a 90 degree angle with the pyramid height. A pyramid Y has a triangular base with 2 sides measuring 7.5 cm and 8 cm respectively.
Answer:
The volumes of X and Y are equivalent.
Step-by-step explanation:
An equation is given A =
4 π r^2
Answer:
D
Step-by-step explanation:
A = 4 π r^2
A/(4π) = r^2
r = sqrt(A/(4π))
Answer:
D
Step-by-step explanation:
Given
A = 4πr² ( divide both sides by 4π )
[tex]\frac{A}{4\pi }[/tex] = r² ( take the square root of both sides )
[tex]\sqrt{\frac{A}{4\pi } }[/tex] = r → D
Find m
160
260
50
80
If a haunted house was open for 15 days and 200 people paid 10 dollars to enter the attraction of those days, how much money would you make?
Answer:
30000
Step-by-step explanation:
200x10x15=30000
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
1.5
Step-by-step explanation:
To find out the gradient (or the slope), we can use the formula
Gradient = (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points lying on the line.
Looking at the graph, we can take any two points and simply plug the coordinates in the equation. For instance, take (0,-2) and (2,1)
Therefore we get the gradient as (1- -2)/(2-0) = 3/2 or 1.5.
Feel free to ask any doubts you may have.
Hope this helps! :D
a line is the locus of points that:
Answer:
A line is the locus of points that: are the same distance from two points. That's the equation for a line.
Step-by-step explanation:
hope its help
Answer:
A line is the locus of points that: are the same distance from two points.
Step-by-step explanation:
Which angle pair relationship shows that two lines are parallel?
a. Two alternate interior angles are supplementary.
b. Two vertical angles are congruent.
c. Two corresponding angles are congruent.
d. Two adjacent angles are supplementary.
Answer: c
Step-by-step explanation:
The product of two numbers is 36.
The sum of the numbers is 13.
What are the two numbers?
Show your work Please!
Answer:
5) 268.08cm
6)1150.35mi
7)33.51in
8)904.78yd
Step-by-step explanation:
5) V= 4/3πr^3
V=4/3π4^3
V=268.08257
6) r=1/2d
r=1/2(13)
r=6.5
V= 4/3πr^3
V= 4/3π 6.5^3
V=1150.3465
7) V= 4/3πr^3
V= 4/3π 2^3
V=33.510
8)V= 4/3πr^3
V= 4/3π 6^3
V=904.778
If f(x)f(x) is an exponential function where f(3.5)=10f(3.5)=10 and f(7.5)=19f(7.5)=19, then find the value of f(13)f(13), to the nearest hundredth.
Answer:
f(13)≈45.92
Step-by-step explanation:
If the cost of 4 1/2litres of milk is 89 1/2rupees, find the cost of 1 litre of milk. Pls explain too
Answer:
x=19.88
Step-by-step explanation:
Okay, let's try and create a "table" of what we know, and what we are looking for.
4.5 litres of milk cost 89.5 rupees
1 litre costs x rupees
Obviously, we are looking for x.
The method I'm about to tell you, might be familiar. Imagine that there was a giant X where the words cost and costs are above. There'd be a line connecting 4.5 litres of milk with the rupees we are looking for, and another line connecting 1 litre with the 89.5 rupees.
If we were to form an equation to solve for x, we'd put the connecting terms together, with an "=" between them, so we'd have this:
4.5*x=1*89.5
That's our equation, so let's solve for x.
x=89.5/4.5 => x=19.88 , let's say 20 rupees
help please!
integrate the following:
[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]
Answer:
i think its help..............
Answer:
[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following integration
[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]
in order to do so rewrite
[tex] \displaystyle \int \cos ^{2} (x) \cos(x) dx[/tex]
we can also rewrite cos²(x) by using trigonometric indentity
[tex] \displaystyle \int( 1 - \sin ^{2} (x) )\cos(x) dx[/tex]
to apply u-substitution we'll choose
[tex] \rm \displaystyle u = \sin ^{} (x) \quad \text{and} \quad du = \cos(x) dx[/tex]
thus substitute:
[tex] \displaystyle \int( 1 - {u}^{2} )du[/tex]
apply substraction integration and:
[tex] \displaystyle \int 1du - \int {u}^{2} du[/tex]
use constant integration rule:
[tex] \displaystyle u - \int {u}^{2} du[/tex]
use exponent integration rule:
[tex] \displaystyle u - \frac{ {u}^{3} }{3} [/tex]
back-substitute:
[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} [/tex]
finally we of course have to add constant of integration:
[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]
Please help!!!!
Write three equations whose graphs are the same line as the equation -9x + 5y = -4.
9514 1404 393
Answer:
9x -5y = 4 . . . . standard form9x -5y -4 = 0 . . . . general formy -1 = 9/5(x -1) . . . . . point-slope formStep-by-step explanation:
The intercepts are ...
x-intercept = -4/-9 = 4/9
y-intercept = -4/5
Knowing these intercepts means we can put the equation in intercept form.
x/(4/9) -y/(4/5) = 1
The fractional intercepts make graphing somewhat difficult. However, we observe that the sum of the x- and y-coefficients is equal to the constant:
-9 +5 = -4
This means the point (x, y) = (1, 1) is on the graph. Knowing a point, we can write several equations using that point.
We like a positive leading coefficient (as for standard or general form), so we can multiply the given equation by -1.
9x -5y = 4 . . . . . standard form equation
Adding -4, so f(x,y) = 0, puts this in general form.
9x -5y -4 = 0
We can eliminate the constant by translating a line from the origin to the point we know:
9(x -1) -5(y -1) = 0
This can be rearranged to the traditional point-slope form ...
y -1 = 9/5(x -1)
Yet another equation can be written that tells you the slope is the same everywhere:
(y -1)/(x -1) = 9/5
These are only a few of the many possible forms of a linear equation.
What is the length of side x in a 30-60-90 triangle where one side is the square root of 3 and the other side is unknown?
Answer:
The length of side x in a 30-60-90 triangle is 2√3.
Step-by-step explanation:
The numbers 30-60-90 are angles, so we need to find the side x of a right triangle with the following information:
θ: is one angle of the right triangle = 30°
α: is the other angle of the right triangle = 60°
a: is one side of the right triangle = √3
b: is the other side of the right triangle =?
x: is the hypotenuse of the right triangle =?
The length of the hypotenuse can be found by Pitagoras:
[tex] x^{2} = a^{2} + b^{2} [/tex] (1)
So, we need to find the side "b". We can calculate it with the given angles.
From the side "a" we have:
[tex] cos(\alpha) = \frac{a}{x} [/tex]
[tex] cos(60) = \frac{\sqrt{3}}{x} [/tex] (2)
From the side "b":
[tex] sin(\alpha) = \frac{b}{x} [/tex]
[tex] sin(60) = \frac{b}{x} [/tex] (3)
Now, we can calculate "b" by dividing equation (3) by equation (2).
[tex] tan(60) = \frac{\frac{b}{x}}{\frac{\sqrt{3}}{x}} [/tex]
[tex] b = tan(60)*\sqrt{3} = 3 [/tex]
Finally, we can find the length of the hypotenuse with equation (1):
[tex] x = \sqrt{a^{2} + b^{2}} = \sqrt{(\sqrt{3})^{2} + (3)^{2}} = 2\sqrt{3} [/tex]
Therefore, the length of side x in a 30-60-90 triangle is 2√3.
I hope it helps you!
Angle E and angle H are supplementary. If angle E has a measure of 156 degrees, find the measure of angle H
Answer:
24 degrees
Step-by-step explanation:
Supplementary angles sum up to give 180°
E + H = 180°
156 + H = 180
H = 180 - 156
H = 24°
What is the volume of the trapezoidal prism with a height of 10 cm, base lengths of 3 and 4 cm, base height of 2 cm?
Given:
Height of a trapezoidal prism = 10 cm
Base lengths are 3 and 4 cm.
Base height = 2 cm
To find:
The volume of the trapezoidal prism.
Solution:
Base area of a trapezoidal prism
[tex]B=\dfrac{a+b}{2}\times h[/tex]
Where, a,b are base lengths and h is the base height.
Putting [tex]a=3,b=4,h=2[/tex], we get
[tex]B=\dfrac{3+4}{2}\times 2[/tex]
[tex]B=7[/tex]
The volume of a trapezoidal prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
Putting [tex]B=7,h=10[/tex], we get
[tex]V=7\times 10[/tex]
[tex]V=70[/tex]
Therefore, the volume of the trapezoidal prism is 70 cubic cm.
manuela wants to make a cube from construction paper . if she cuts out the design below and folds it to make a cube , what will be the surface area of the cube?
25 cm2
70 cm2
125 cm2
150 cm2
Answer:
150 cm2
Step-by-step explanation:
one square would simply be base x height our base is 5 and height is 5 so i multiply that and get 25 since this is a cube all sides are equal so I will simply just multiply 25 by the number of sides since a cube has 6 sides our equation to get the answer would be 25 x 6 = 150 so 150 is our answer! Hope this is a good explanation! Have a good day!
ASAP someone please put these answers in scientific notation.
Enter the degree of the polynomial below:
6x^6 + 9x^3 + 3x^2 - 4x^10 - 9x^5 - 5x^6
Answer:
10
Step-by-step explanation:
The highest exponent determines the degree of a polynomial.
Please help me find the volume of these figures. (Geometry)
Answer:
45.) 49.) V=LBH
Step-by-step explanation:
V= 15
5*3*1=15
V= 891
11*9*9
The equation y=36x represents the relationship between x the number of yards and y the number of inches.
Which ordered pair represents the number of yards and number of inches?
(2,72) (4,40) (5,180) (40,4) (72,2) (180,5)
Answer:
(2 , 72) and (5 , 180)
Step-by-step explanation:
Options A (2 , 72) and C (5 , 180) will be the correct options.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
we are Given equation representing the relation between two variables 'x' and 'y' is,
y = 36x
Here, y = yards and x = inches
Now Satisfy this equation with each point given in the question;
Option A. (2, 72)
72 = 36 × 2
72 = 72
This is True
Option B. (4, 40)
40 = 36 × 4
40 = 144
This is False
Option C. (5, 180)
180 = 36 × 5
180 = 180
This is True
Option D. (40, 4)
4 = 36 × 40
4 = 1440
This is False
Option E. (72, 2)
2 = 36 × 72
2 = 2592
This is False
Option F. (180, 5)
5 = 36 × 180
5 = 6480
This is False
Therefore, Options (A) and (C) will be the correct options from all the other
Learn more about equations here;
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A spinner is divided into 12 equal sections numbered 1-12. What is the probability of landing on a section with a number that is LESS THAN 7?
The number (√5+2)/(√5-2)
is:
(a) a rational number
(b) an irrational number
(c) an integer
(d) a natural number
Answer:
b: irrational
Step-by-step explanation:
(√5+2)
-------------- is given.
(√5 - 2)
If we multiply numerator and denominator by (√5+2), we succeed in removing the square root symbol from the denominator:
(√5+2)(√5+2)
---------------------
(√5+2)(√5- 2)
and the denominator becomes 5 - 2, or 3. The denominator is now rational, but the numerator still involves the square root symbol, so overall the given number is irrational.