Answer: A
Step-by-step explanation:
What is the volume of this triangular right prism?
Which expression is equivalent to the following?
[tex]sin^4(x)-cos^4(x)[/tex]
This is basically calculus......
Step-by-step explanation:
[tex]\sin^{4}x \: - \cos^{4} x = (\sin^{2}x)^{2} - (\cos^{2}x)^{2} [/tex]
[tex] = (\sin^{2}x)^{2} - (1 - \sin^{2}x)^{2} [/tex]
[tex] = \sin^{4}x - (1 - 2\sin^{2}x + \sin^{4}x)[/tex]
[tex] = 2\sin^{2}x - 1[/tex]
[tex] = - \cos2x[/tex]
Note: I used the identity
[tex] { \sin }^{2} x = \frac{1}{2} (1 - \cos \: 2x)[/tex]
for the last step.
PS. I love proving trigonometric identities!
HELPPPP
TWO NUMBERS HAVE A SUM OF 28. THE SMALLER NUMBER PLUS FOUR TIMES THE SECOND NUMBER IS 88. FIND THE UMBERS
Answer:
The smaller number is: 8
The bigger number is: 20
Step-by-step explanation:
Ok let's say the two numbers are x and y.
x is the smaller one, and y is the bigger one.
This is the equation to find x:
x + 4y = 88
x + y = 28
x - x + 4y - y = 88 - 28
3y = 60
y = 20
x + 20 = 28
x = 8
its about quartiles
No links
Answer: See the attached image for the answers. I've arranged the tiles in the proper order.
minimum = 2lower quartile = 4second quartile = 8upper quartile = 19maximum = 21This is known as a five number summary.
=========================================================
Explanation:
The first thing to do is to sort the numbers from smallest to largest
You should get this set {2, 4, 7, 8, 16, 19, 21}
The middle most value is 8. So this is the median or the second quartile.
--------------
Split the data set into two lists like so
L = {2,4,7}
U = {16,19,21}
Everything in set L represents the lower set of values smaller than the median. Set U represents the upper set of values larger than the median.
Find the median of sets L and U to get 4 and 19 respectively. These represent the values of Q1 and Q3
Q1 = first quartile = lower quartile = 4
Q3 = third quartile = upper quartile = 19
--------------
As you can probably guess, the min and max are the smallest and largest values of the set. We can see that min = 2 and max = 21.
Please help solve
[tex]\left \{ {{y=-2x+6} \atop {y= x-3}} \right.[/tex]
[tex]\left \{ {{y=5x-4} \atop {y=4x+12}} \right.[/tex]
[tex]\left \{ {{y=\frac{2}{3}x-4 } \atop {y=-\frac{4}{3}+9 }} \right.[/tex]
[tex]\left \{ {{4y+7x=6} \atop {4y+7x =-5}} \right.[/tex]
[tex]\left \{ {{y=0.24x} \atop {y=20.18x+0.9} \right.[/tex]
[tex]\left \{ {{y=4.5x+15} \atop {y=5x+1.25}} \right.[/tex]
[tex]\left \{ {{y=3x} \atop {x+y=52} \right.[/tex]
can someone tell me the points on a graph when you graph y=-5x
Answer:
pls give me brainliest
Step-by-step explanation:
I'LL GIVE BRAINLIEST IF CORRECT
The illustration below shows the graph of y as a function of x.
Complete the following sentences based on the graph.
- The slope of the graph of the function is equal to ___ for x between x = -3 and x = -2.
- The slope of the graph is equal to ___ for x between x = 3 and x =4.
- The greatest value of y is y = ___.
- The smallest value of y is y = ___.
Answer:
Did you mean to attach something?
Step-by-step explanation:
I don't see the illustration... without it I cannot answer the question.
Answer:
0, 0, 4, -3
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME I REALLY NEED SOMEONE'S HELP PLEASE I NEED TO GET AND 100 PLEASEEEEE. I WILL MARK BRIANLIST IF YOU GET IT RIGHT.
A parabola has x-intercepts at -3 and 4. Write 2 possible equations of parabolas in
standard form that could satisfy the requirements.
x=-3
x=4
hope helps you
have a nice day
please answer In(5x-3)=4
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex](5x - 3) = 4 \\ 5x - 3 = 4 \\ 5x = 4 + 3 \\ 5x = 7 \\ x = \frac{7}{5} \\ x = 1.4[/tex]
⎆ The answer will be, x = 7/5 (in fraction form) & x = 1.4 (in standard form).# ꧁❣ RainbowSalt2²2² ࿐
12) Two hexagonal pyramids are similar. The perimeters of the pyramids are 36 inches and 30
inches. If the volume of the larger pyramid is 64873 in what is the volume of the smaller
pyramid?
Please help me:)
Answer:
54061 in³
Step-by-step explanation:
Using proportion
Perimeter of smaller pyramid/ Perimeter of Larger pyramid = volume of smaller pyramid/ volume of Larger pyramid
30/36 = x/64873
Cross Mulitiply
36 × x = 64873 × 30
x = 64873 × 30/36
x = 54060.833333 in³
Approximately = 54061 in³
Therefore, the volume of the smaller pyramid is 54061 in³
Find the volume of each figure. Simplify your answers.
Please help ASAPPPP
thank you so much!!!
This is the same as saying 27 cubic inches
===========================================================
Explanation:
We get the volume of a cube by using the formula
V = s^3
where the cubed exponent is directly tied together with the idea of volume being in cubic units. In this case, s = 3 which leads to
V = s^3
V = 3^3
V = 3*3*3
V = 27 cubic inches
As another example, let's say s = 4. That means
V = s^3
V = 4^3
V = 4*4*4
V = 64
We multiply the side length by itself having three copies total. This formula only applies to cubes. A more generalized formula for rectangular blocks is V = L*W*H where L,W,H are the length width and height in that order. This generalized formula allows for side lengths to be different, but if L = W = H, then it makes more sense to go with the first formula instead.
32 7/12 ÷3 3/10 but an estimate
Answer:
20.740
Step-by-step explanation:
This is right.
What is the greatest common factor of 20, 12, and 36?
Answer:
The answer is 4
Step-by-step explanation:
Start by writing and solving an
equation (or system of
equations) that represents the
problem below. Be sure to define
any variables you use.
Turkey has a population of 66
million people and is made up
almost entirely of two ethnic
groups: Turks and Kurds. There
are four times more Turks than
Kurds. Write an equation and
solve it to find out how many
Kurds live in Turkey,
k: the number of Kurds
t: the number of Turks
k=k
t=4k
k+t=66,000,000
k+4k=66,000,000
5k=66,000,000
k=13,200,000
t=52,800,000
Step-by-step explanation:
plz brain list.
En la feria una pera tiene un valor de b pesos y una manzana cuesta 7 pesos menos.la señora Rina compro 4 peras y una manzana. En términos de b, encuentra en total que la señora Rina pago.
Answer:
El total que la señora Rina pagó por sus frutas, en términos de b, es:
5b - 7Step-by-step explanation:
Para resolver este ejercicio, primero sacaremos las variable que nos brindan:
Costo de la pera = bCosto de la manzana = b - 7 (esto se debe a que la manzana cuesta 7 pesos menos que la pera, tal como dice el enunciado).Ahora, nos centraremos en la compra realizada por la señora Rina, donde se menciona que:
Compra de la señora Rina = 4 peras + 1 manzanaAhora, como si esto fuera una ecuación, vamos a reemplazar las manzanas y las peras por las variables que tenemos de su costo:
Compra de la señora Rina = 4b + b - 7Y procedemos a operar:
Compra de la señora Rina = 5b - 7 (sumando 4b + b)Por lo tanto, la compra de la señora Rina, en términos de b, le ha costado 5b - 7.
what is 713.49 written as a standard form
Which expression represents the area of this shape?
Answer:
(2x2)+(2x6)
Step-by-step explanation:
area= length x breathe
= (2x2) + (2x6)
if you put $300 into a savings account and the bank account has a 4% annual compound interest-rate, find how much money will be in your savings account after 10 years if you don’t take any money out or put any more in.
Which coordinate grid shows M plotted at (4,3)
Answer:
B
Step-by-step explanation:
4,3 is x 4 y 3
Answer:
B
Step-by-step explanation:
graphs are put like this (x,y) your coordinate is (4,3) 4 is the x-axis meaning go right 4 times, 3 is your y so go up 3 times
Please provide an explanation.
Answer:
-9
Step-by-step explanation:
In a linear equation like this, the first number is the slope and the last number is the y-intercept
solve the equation x - 4 = -3 help yall-
Answer:
x = 1
Step-by-step explanation:
x - 4 = -3
(add 4 to both sides)
x - 4 + 4 = -3 + 4
x = 1
Answer:
x = 1
Step-by-step explanation:
So you have to separate the x from the rest of the equation
so you can add 4 to both sides so x is by itself
so ur left with:
x = -3 + 4
and that is equal to x = 1
Hope that helps :)
In ΔRST, the measure of ∠T=90°, RT = 13, TS = 84, and SR = 85. What ratio represents the sine of ∠S?
Answer:
[tex]$ \frac{\text{13}}{\text{85}} $[/tex]
Step-by-step explanation:
Given :
ΔRST is a right angled triangle with right angle at ∠RTS.
RT = 13, SR = 85 and TS = 84
We are required to find the ratio that represents the sine of angle RST.
Therefore, using trigonometric ratios, we know that :
[tex]$\sin \angle RST = \frac{\text{perpendicular}}{\text{hypothenuse}} $[/tex]
[tex]$\sin \angle RST = \frac{\text{RT}}{\text{RS}} $[/tex]
[tex]$\sin \angle RST = \frac{\text{13}}{\text{85}} $[/tex]
Therefore, the ratio that represents the sine of of ∠S is [tex]$ \frac{\text{13}}{\text{85}} $[/tex] .
please solve the question with the process
Answer:
Step-by-step explanation:
1-2(2x+1)=1-(x-1)
-1(2x+1)=1-(x-1)
-2x-1=1-x-1
-2x+x=0+1
-x=1
x=-1
PLs, help me with this math question
Answer
for a area of 10 i would do rays like 2 by 5
Step-by-step explanation:
it would be like 5 over and 2 down
Five and one half of 2 and one third is what number?
Given:
Five and one half of 2 and one third.
To find:
The number for the given statement.
Solution:
Five and one half = [tex]5\dfrac{1}{2}[/tex]
2 and one third = [tex]2\dfrac{1}{3}[/tex]
The given statement is five and one half of 2 and one third.
Here, the word "of" is used for multiplication.
So, the expression for the given statement is:
[tex]5\dfrac{1}{2}\times 2\dfrac{1}{3}[/tex]
[tex]=\dfrac{10+1}{2}\times \dfrac{6+1}{3}[/tex]
[tex]=\dfrac{11}{2}\times \dfrac{7}{3}[/tex]
[tex]=\dfrac{77}{6}[/tex]
Therefore, the required number is [tex]\dfrac{77}{6}[/tex].
Round 122.1587 to the nearest hundredth?
Answer:
100
Step-by-step explanation:
H T U
1 2 2
2 is a num below 5 therefore
2=0
Morgan invested $1,200 in an account that pays 6% annual simple interest. Morgan will not make any additional deposits or withdrawals. How much interest will Morgan earn on her investment at the end of 7 years?
Answer:
Step-by-step explanation:
Simple interest per year = $17,500 (0.0825) = $1,443.75 Simple interest = $8,662.50 Joseph Harris is considering an investment that pays 6.5 percent annually
Use Pythagorean theorem to solve the following right triangles, put your answer in simplest radical form:
Answer:
x = 10
Step-by-step explanation:
[tex]x^2 = 8^2 + 6^2\\x^2 = 64 + 36 = 100\\x = \sqrt{100} = 10[/tex]
Does the expression have a positive or negative value? PLS NO SCAMS THANK YOU
Answer:
positive because 2 negatives being multiplied=a positive number
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
the expression has positive number because along with multiplying the number we should multiply sign too so when we multiply "-" * "-" it gives us "+"(positive ).