Answer:
her first step was) Combining like terms= 12+2
her second step was) Combining like terms/ subtracting 5x from 3x= 5x-3x
her third step was) Adding to both sides 18= 14+18
her last step was) isolating the variable/ dividing 2 from both sides= 32/x.
Hope You Got It!
PLEASE MARK ME AS THE BRAINLIEST
solve the right triangle.
Answer:
b=4√10
Step-by-step explanation:
AB²=AC²+BC²
14²=b²+6²
b²=14²-6²=160
b=√160=4√10
delete my answer
Step-by-step explanation:
i need the answer to this question
Answer:
SR=1/2*PO
5x-38=1/2*7x-49
2(5x-38)=7x-49
10x-76=7x-49
10x-7x=-49+76
3x=27
x=27/3
x=9
substitute the value of x in RS
5x-38
5*9-38
45-38
7
Step-by-step explanation:
Answer:
RS = 7
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle then it is half the length of the third side, that is
5x - 38 = [tex]\frac{1}{2}[/tex] (7x - 49) ( multiply both sides by 2 to clear the fraction )
10x - 76 = 7x - 49 ( subtract 7x from both sides )
3x - 76 = - 49 ( add 76 to both sides )
3x = 27 ( divide both sides by 3 )
x = 9
Then
RS = 5x - 38 = 5(9) - 38 = 45 - 38 = 7
Imani is a scientist working with a cylindrical beaker. The base of the right cylinder has a diameter of 19 cm. She fills the
beaker with 2256.254 Cms of an acid. Approximately how high did the acid fill up the beaker?
Answer:
7.96 cm
Step-by-step explanation:
radius of bottom: 19/2 = 9.5
area of bottom = pi * r^2 = 283.53
height * base area = volume
How much material is needed to make the Nón Lá Vietnamese leaf hat? Round to the nearest tenth.
The surface area is
in.²
9514 1404 393
Answer:
408.4 in²
Step-by-step explanation:
The lateral area of a cone is ...
LA = 1/2πds . . . . . . . where d is the diameter and s is the slant height
Using the given dimensions, the area of the hat is ...
LA = 1/2π(20 in)(13 in) = 130π in² ≈ 408.4 in²
The surface area is about 408.4 in².
Pls do it for me thank you so much
Answer:
(a) Attached to this response.
(b)
(i) 0 cups = 0.275
(ii) 4 cups = 0.125
(iii) 8 cups = 0.025
Step-by-step explanation:
(a) The frequency and relative frequency table has been attached to this response.
i. The first column, labelled x, is the number of cups of coffee consumed per day.
ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.
For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.
iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).
For example, the relative frequency of 2 cups of coffee is given by:
r = 7 ÷ 40 = 0.175
Also, the relative frequency of 4 cups of coffee is given by;
r = 5 ÷ 40 = 0.125
(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;
Pₓ = frequency of x ÷ total frequency
This is also the relative frequency of x
Therefore,
(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;
the relative frequency of 0 = 0.275
(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;
the relative frequency of 4 = 0.125
(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;
the relative frequency of 8 = 0.025
HELP! THIS IS DUE TODAY, and i will mark brainlest!
Answer:
Option 3
Step-by-step explanation:
y=3+x is a straight line that runs through y=3 and x=-3
So your 3rd option here is the one.
Answer:
I think it's the third option
Help plz
6(2x - 11) + 15 = 3x + 12
Answer:
x = 7
Step-by-step explanation:
Lets do the brackets first,
6 × 2x = 12
6 × -11 = -66
------
Calculate the x constant:
12x - 3x = 9x
-------
Then the ones with no x:
-66 + 15 = -51
51 + 12 = 63
-------
Lastly, divide
63 ÷ 9 = 7
-------
Have a good day :)
you roll a six sided dice 60 times the number for which the experimental probability of rolling the number is the same as the theoretical probability is
Answer:
The answer is "12 times, a die was rolled. Identify the complete possibilities to roll exactly 6".
Step-by-step explanation:
Using formula:
[tex]P(X=K)=\binom{N}{K} P^{K} a^{N-K}[/tex]
So the value is [tex]P(X=6)[/tex]
A line is perpendicular to x + 3y - 4 = 0 and has the same y-intercept as 2x + 5y - 20 = 0. Find the equation for the line.
This is equivalent to y = 3x+4 (slope intercept form)
By "standard form", I mean the form Ax+By+C = 0.
====================================================
Explanation:
Let's solve the first equation for y
x+3y-4 = 0
x+3y = 4
3y = 4-x
3y = -x+4
y = (-x+4)/3
y = (-x/3) + (4/3)
y = (-1/3)x + (4/3)
The equation is now in y = mx+b form, aka slope intercept form, with m = -1/3 as the slope and b = 4/3 as the y intercept. We'll focus on the slope.
Apply the negative reciprocal to this so that we go from -1/3 to +3/1 or simply 3. Flip the fraction and the sign. Note how -1/3 and 3 multiply to -1. Perpendicular slopes always multiply to -1, assuming neither line is vertical.
So this mystery perpendicular line we're after has a slope of 3.
It has the same y intercept as 2x+5y-20 = 0. Plug in x = 0 and solve for to determine the y intercept.
2x+5y-20 = 0
2(0)+5y-20 = 0
5y-20 = 0
5y = 20
y = 50/5
y = 4
The y intercept of 2x+5y-20 = 0 is y = 4, so it's also the y intercept of our final answer. Let b = 4.
-------------------------------------
We found that:
m = 3 is the slope of the perpendicular lineb = 4 is the y intercept of the perpendicular lineSo we know that,
y = mx+b
y = 3x+4
is the slope intercept form of the answer. Since your teacher gave you the equations in standard form (one version of it anyway), let's convert y = 3x+4 to that form as well
y = 3x+4
y-3x = 4
-3x+y = 4 .... one way to express standard form
-3x+y-4 = 0 .... another standard form
Some math textbooks use Ax+By = C as standard form, while others use Ax+By+C = 0. Unfortunately, it's a bit confusing because the same phrasing is used.
Find the volume of a pyramid with a square base, where the area of the base is 19 cm^2 and the height of the pyramid is 23.8 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
150.7
Step-by-step explanation:
Formula to the find volume of a pyramid:
V=1/3 (B)(h)
V=1/3 (19) (23.8)
Find the vertex of the graph of the equation $y = -2x^2 + 8x - 15.$
Answer:
(2,-7)
Step-by-step explanation:
what is 20% of 90???
Answer:
answer :
18
Step-by-step explanation:
use calculator it's easy to solve
Answer:
18
Step-by-step explanation:
20% of 90 = (20/100 )* 90
= 1/5 * 90
= 18
What is the measure of the reference angle for a 112 degrees angle?
Answer:
68
Step-by-step explanation:
A P E X
Estimate a 15% tip on a dinner bill of $61.75 by first rounding the bill amount to the nearest ten dollars. What’s the estimated tip?
Answer:
Tip = $9
Step-by-step explanation:
Bill amount to nearest ten dollars = $60
[tex]tip = 15\% of 60 = \frac{15}{100} \times 60 = 9[/tex]
I really need some help please
Answer:
y - 1 = 3/2(x - 4)
Step-by-step explanation:
plug in the given(known) x and y coordinates into the point-slope form:
=> y - 1 = 3/2(x - 4)
3.9047 rounded to the nearest thousandth
please help
Answer: 3.9047 rounded to the nearest thousandth is 3.9050, or 3.905.
Step-by-step explanation:
You round 47 up to 50, which gets you to 3.9050, which you can then reduce it to 3.905.
26. What is the approximate length of RS 7
18 in
S
21 in
R
A. 9.5 in
B. 10.8 In
C 12.1 In
D. 12.8 In
How can I calculate the maximum height of the ball? h=-16t^2+vt+h v is the initial velocity and I got 4.3cm h is the initial height and I got 14cm Range of the ball is 1.954m and the time in air is 2.1 When I solve the maximum height of the ball, it need to be ft/s.
Step-by-step explanation:
The path followed by the ball as a function of time is given by :
[tex]h=-16t^2+vt+h[/tex]
Where
v is initial velocity and h is initial height,
v = 4.3 cm/s = 0.043 m/s and h = 14 cm = 0.14 m
The equation becomes,
[tex]h=-16t^2+0.043t+0.14[/tex] ....(1)
It is a quadratic equation,
t = 0.095 s
Put the value of t in equation (1).
[tex]h=-16(0.095)^2+0.043(0.095)+0.14\\\\h=-0.000315\ m[/tex]
or
h = -0.00103 ft (negative sign shows height is in negative direction)
Which line has a slope of -2 and y-intercept of 3
Answer:
A
Step-by-step explanation:
The line has to go down when x move to the right due to the negative slope. So B and C cannot be right.
The line has to pass through (0,3), that's the y-intercept, so A and D can still both be right.
For every step to the right, the line has to move 2 down (slope -2). Only A does that. D moves 0.5 down for every step to the right.
What is the volume of a hemisphere with a diameter of 7.1 ft, rounded to the nearest tenth of a cubic foot?
Answer:
7 feet i think? i may be wrong tho
Step-by-step explanation:
NEED HELP HERE PLEASE!! π∆π
Give the value of the six trigonometric ratios in the figure.
Answer:
Step-by-step explanation:
take theta as reference angle
using sin rule
sin theta=opposite/hypotenuse
sin theta=3/5
sin theta=0.60
theta=sin 37 degree
therefore the value of theta is 37 degree.
PLS HELP 6TH GRADE PLEASE
Answer:
6 x 5 x 1/2(divide by 2) = 15, 15 x 2(two triangles) = 30
27 x 6 = 162 (area of base)
27(width) x 6(height) x 2(two rectangles on both slanted sides) = 324
Add given areas:
30 + 162 + 324 = 516 ft2 is your answer.
hey! i’ll give brainliest help thanks
Answer: The last one
Step-by-step explanation:
Answer:
D. 4th Option.
Explanation:
The cause is that a team is from your town and the effect is that you'll try to be a fan. The italicized words if and then indicate a cause and effect.
4. Explain what an imaginary number is and its relationship to complex numbers. Then give
an example of where complex numbers occur naturally in mathematics.
Answer:
564643
Step-by-step explanation:
Answer:
In the real number system, there is no solution to the equation x^2=-1x
2
=−1x, squared, equals, minus, 1. In this lesson, we will study a new number system in which the equation does have a solution.
The backbone of this new number system is the number iii, also known as the imaginary unit.
i^2=-1i
2
=−1i, squared, equals, minus, 1
\sqrt{-1}=i
−1
=isquare root of, minus, 1, end square root, equals, i
By taking multiples of this imaginary unit, we can create infinitely many more new numbers, like 3i3i3, i, i\sqrt{5}i
5
i, square root of, 5, end square root, and -12i−12iminus, 12, i. These are examples of imaginary numbers.
However, we can go even further than that and add real numbers and imaginary numbers, for example 2+7i2+7i2, plus, 7, i and 3-\sqrt{2}i3−
2
i3, minus, square root of, 2, end square root, i. These combinations are called complex numbers.
Defining complex numbers
A complex number is any number that can be written as \greenD{a}+\blueD{b}ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i, where iii is the imaginary unit and \greenD{a}astart color #1fab54, a, end color #1fab54 and \blueD{b}bstart color #11accd, b, end color #11accd are real numbers.
\begin{array}{ccc} \Large\greenD a&\Large+&\Large \blueD bi \\ \uparrow&&\uparrow\phantom{i} \\ \text{Real}&&\text{Imaginary} \\ \text{part}&&\text{part} \end{array}
a
↑
Real
part
+
bi
↑i
Imaginary
part
\greenD aastart color #1fab54, a, end color #1fab54 is called the \greenD{\text{real}}realstart color #1fab54, start text, r, e, a, l, end text, end color #1fab54 part of the number, and \blueD bbstart color #11accd, b, end color #11accd is called the \blueD{\text{imaginary}}imaginarystart color #11accd, start text, i, m, a, g, i, n, a, r, y, end text, end color #11accd part of the number.
The table below shows examples of complex numbers, with the real and imaginary parts identified. Some people find it easier to identify the real and imaginary parts if the number is written in standard form.
Complex Number Standard Form \greenD a+\blueD b ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i Description of parts
7i-27i−27, i, minus, 2 \greenD {-2}+\blueD 7i−2+7istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 7, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 77start color #11accd, 7, end color #11accd.
4-3i4−3i4, minus, 3, i \greenD 4 + (\blueD{-3})i4+(−3)istart color #1fab54, 4, end color #1fab54, plus, left parenthesis, start color #11accd, minus, 3, end color #11accd, right parenthesis, i The real part is \greenD{4}4start color #1fab54, 4, end color #1fab54 and the imaginary part is \blueD{-3}−3start color #11accd, minus, 3, end color #11accd
9i9i9, i \greenD 0+\blueD9i0+9istart color #1fab54, 0, end color #1fab54, plus, start color #11accd, 9, end color #11accd, i The real part is \greenD{0}0start color #1fab54, 0, end color #1fab54 and the imaginary part is \blueD 99start color #11accd, 9, end color #11accd
-2−2minus, 2 \greenD {-2}+\blueD0i−2+0istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 0, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 00start color #11accd, 0, end color #11accd
Step-by-step explanation:
plz brian list and allways happy to help.
find the surface area of a square based pyramid with a side length of 5cm and a slant height of 5cm
Answer:
Step-by-step explanation:
The surface area of a square pyramid = 1/2 * slant height * base perimeter + area of base
The slant height is 5 cm
The base perimeter is 4 * 5 cm = 20 cm
The area of the base is 5 cm * 5 cm = 25 cm**2
Plugging into the formula the area =
1/2 * 5 cm * 20 cm + 25 cm**2 =
5 cm * 10 cm + 25 cm**2 =
50 cm**2 + 25 cm**2 = 75 cm**2
YO HELP ME OUT!!!! Question is in the screenshot below PLEASE answer correctly, I am running out of time!
Answer:
V = 696.91
Step-by-step explanation:
Volume of a sphere formula:
V = 4/3πr³
Given:
d = 11
r = d/2
r = 5.5
Work:
V = 4/3πr³
V = 4/3π(5.5)³
V = 4/3π(166.375)
V = 696.91
What’s 2-4 plz helppppp
Answer:
2.A 3.D 4.A
Step-by-step explanation:
You may want to check number four because I'm not sure. Radius is any length from the center of the circle to the edge of the circle. A sector is a piece of a circle, like a cut slice of pie or a slice of pizza.
Answer:
2. A
3. B
4. A
Step-by-step explanation:
the number of digits in the square root of 36000000 is
The ANSWER is Four Digits
When you'll square root - 36000000 you'll get 6000 there are four digits in 6000
Witch product is less then 5/8
7/10x5/8
4/3x5/8
9/7x5/8
3/2x5/8
Thank you
Answer:
Answer is 7/10 × 5/8
Step-by-step explanation:
only answer which is under 5/8ths being 7/16 :)
Answer:
7/10x5/8
Step-by-step explanation:
7/10x5/2=7/16
4/3x5/8=5/6
9/7x5/8=45/56
3/2x5/8=15/16
Hoy vamos de excursión con la escuela y nos ha tocado hacer los bocadillos para toda la clase. Si para hacer los bocadillos para mis 4 hermanos gastamos 2 barras de pan, ¿cuántas barras de pan necesitaremos para hacer los bocadillos de los 24 alumnos que hay en clase?Regla de tres
Answer:
12barras
Step-by-step explanation:
Hoy vamos a hacer una excursión con la escuela y tuvimos que hacer sándwiches para toda la clase. Si gastamos 2 hogazas de pan para hacer sándwiches para mis 4 hermanos, ¿cuántas hogazas de pan necesitaremos para hacer sándwiches para los 24 estudiantes de la clase?
De la pregunta anterior:
4 personas = 2 barras de pan
24 personas = x
Multiplicar cruzada
4 × x = 24 × 2 barras de pan
x = 24 × 2 barras de pan / 4
x = 12 barras de pan