Answer:
= 240√3-3√3x
Step-by-step explanation:
parentheses:
=3√3 (80 – x)
Apply the distributive law:
a=3√3, b= 80, c =X
=3√3×80-3√3x
=3× 80√3 -3√3x
Multiply the numbers: 3×80 = 240
= 240√3-3√3x
Please help! I asked this question the other day and nobody even looked at it. I need help!!!!
Need help in math ASAP
X is greater than or equal -3 and less than 5
use x only once in your inequality
Answer:
[tex] - 3 \leqslant x \leqslant 5[/tex]
Help please..........................................................
Answer:
A) YXWZ
Step-by-step explanation:
W) 57.4*10^4 = 574 000
X) 5.11*10^5 = 511 000
Y) 0.17*10^6 = 170 000
Z) 7.3*10^5 = 730 000
Y, X, W, Z: A
Simplify x = cos[2 arcsin(3/5)].
-7/25
7/25
4/5
Answer:
7/25
Step-by-step explanation:
Let [tex]\theta= \arcsin(\frac{3}{5})[/tex] so we have [tex]x=\cos(2\theta)[/tex]
As [tex]\cos(2\theta)=\cos^2\theta-\sin^2\theta[/tex], we'll have [tex]\cos[2\arcsin(\frac{3}{5})]=\bigr[\cos(\arcsin(\frac{3}{5}))\bigr]^2-\bigr[(\sin(\arcsin(\frac{3}{5}))\bigr]^2[/tex]
To determine [tex]\cos(\arcsin(\frac{3}{5}))[/tex], construct a right triangle with an opposite side of 3 and a hypotenuse of 5. This is because since [tex]\theta=\arcsin(\frac{3}{5})[/tex], then [tex]\sin\theta=\frac{3}{5}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]. If you recognize the Pythagorean Triple 3-4-5, you can figure out that the adjacent side is 4, and thus, [tex]\cos\theta=\frac{4}{5}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]. This means that [tex]\cos(\arcsin(\frac{3}{5}))=\frac{4}{5}[/tex].
Hence, [tex]\cos[2\arcsin(\frac{3}{5})]=(\frac{4}{5})^2-(\frac{3}{5})^2=\frac{16}{25}-\frac{9}{25}=\frac{7}{25}[/tex]
You and your sister have been saving and decide to buy a Playstation 5 together. You need $500 to
buy the Playstation. Together you have $850 saved up. Since you have more money, you contribute
50% of your savings and your sister contributes 75% of hers toward the $500 cost. How much do each
of you have saved individually?
a. Write a system of equations in standard form to model this situation
b. Solve this system of equations using eliminations
According to the information given, we have that:
a) The system of equations is given by: x + y = 850, 0.5x + 0.75y = 500.
b) You has saved $550 and your sister has saved $300.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: The amount you have saved up.Variable y: The amount your sister has saved up.Item a:
Together you have $850 saved up, hence:
x + y = 850.
You contribute 50% of your savings and your sister contributes 75% of hers toward the $500 cost, hence:
0.5x + 0.75y = 500.
Item b:
From the first equation, we have that:
x = 850 - y
Replacing on the second:
0.5(850 - y) + 0.75y = 500
0.25y = 75
y = 75/0.25
y = 300
x = 850 - y = 550.
You has saved $550 and your sister has saved $300.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
2 cm
6 cm
6 cm
What is the surface area of the solid above?
O A. 14 cm2
O B. 120 cm2
O C. 56 cm2
O D. 84 cm2
Answer:
O B. 120 cm2
Step-by-step explanation:
2×(6×6 + 6×2 + 6×2) = 120 centimeters2
If you shift the exponential parent function, f(x) = 2^x , right 2 units, what is the equation of the new function?
Answer:
[tex]g(x)=2^{x-2}[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Parent function: [tex]f(x)=2^x[/tex]
Translated 2 units right: [tex]g(x)=f(x-2)=2^{x-2}[/tex]
We know the rule for shifting right(x is changed)
f(x) —» f(x-a)So
here
For a =2
f(x-2)[tex]\sf 2^{x-2}[/tex]PLEASE SOMEONE HURRY I NEED THE ANSWER PLS
7. After washing your hands there are 300 bacteria on your right hand. The amount of bacteria on each of
your hands is doubling each hour. When will the amount of bacteria on your right hand exceed 2000?
A) 2 hours
B) 2½ hours
C) 3 hours
D) 3½ hours
Answer: maybe c?
Step-by-step explanation:
Uh, 300+300 = 600
600+600= 1200
1200+ 1200= 2400
An initial deposit of $6300.00 is made into a savings account that compounds 5.2% interest semi-annually. how much is in the account after 10 years?
question 1 options:
$414,740.48
$10,526.59
$10,459.19
$9,289.13
Answer:
$10459.19
Step-by-step explanation:
30 points see picture below
Answer:
6912cm³
Step-by-step explanation:
volume is equal to length multiplied by width multiplied by height so if we multiply the three it will give us a volume of 6912cm³
Answer:
a) 6912 cm³
b) 192 cm³
Explanation:
Volume of rectangular prism = Length × Width × Height
Part A
Here Volume: 32 × 72 × 3 = 6912 cm³
∴ The volume of the chocolate slab is 6912 cm³.
Part B
total volume ÷ total students = 6912 ÷ 36 = 192 cm²
Each student receives 192 cm³ of chocolate.
Find the quotient
5,103 divided by 54
Answer:
94.5 is your answer bc u have to divide to get your answer for your thing
Which two Integers is 29 between
Answer:
28 < 29 < 30
Step-by-step explanation:
29 - 1 = 28
29 + 1 = 30
Then
The integer 29 is between the two integers 28 and 30
Which parallelogram has an area of 60 square units?
Answer:
Finding the area of each parallelogram, applying the formula, it is found that the parallelogram D has an area of 60 square units
Step-by-step explanation:
Similarly to a rectangle, the area of a parallelogram is given by height multiplied by base, that is:
In item A, the height is of 15 units and the base is of 10 units, thus, the area, in square units, is of .
In item B, the height is of 6 units and the base is of 10.2 units, thus, the area, in square units, is of .
In item C, the height is of 15 units and the base is of 15 units, thus, the area, in square units, is of .
In item D, the height is of 10 units and the base is of 6 units, thus, the area, in square units, is of , which means that this is the correct option.
Which trigonometric function does the graph below represent?
Answer:
(d) 2sin(2θ +π/4) -1
Step-by-step explanation:
The graphed function has a midline of -1 (eliminates choice A). It will be a cosine function shifted right π/8 units, or a sine function shifted left π/8 units.
__
The shift is accomplished by replacing θ with (θ -π/8) in the sine function, or (θ +π/8) in the cosine function. That means, we're looking for an expression that is either of ...
2(cos(2(θ-π/8)) -1 = 2cos(2θ -π/4) -1 . . . . . no match
or
2(sin(2(θ+π/8)) -1 = 2sin(2θ +π/4) -1 . . . . . matches choice D
_____
Additional comment
In the form ...
g(x) = K·f(C(x -A)) +B
the factor K is a vertical stretch factor, C is a horizontal compression factor, A is a right shift, and B is an up shift. In this function, we have its amplitude stretched by a factor of 2, a down shift of 1 unit, and a horizontal shift of π/8. The horizontal compression factor is 2.
__
The amount of horizontal shift for the cosine function is found at the peak nearest the y-axis. The amount of horizontal shift for the sine function is found at the upward midline crossing nearest the y-axis.
Find |27|.
27
-27
i don't get it.
Answer:
|27| is 27
Step-by-step explanation:
What are you trying to ask?
Answer:
27
Step-by-step explanation:
Always in absolute value, if the number inside it is negative it will be positive. But if a number is already positive it will stay positive. Absolute value is just another way of making things positive. So always nothing will ever be negative.
Find the value of x.
Answer:
x= 20
Step-by-step explanation:
The total amount of degrees in a triangle is 180. The equation we can pull from this is x+x+30+110= 180. Now we can simplify and combine like terms. x+x= 2x. 30+110 is 140. Now move the constant, 140 to the right. 180-140 is 40. Lastly, divide x and 40 by 2 to get the final answer of 20.
Cost of a CD: $23.50
Markup: 63%
Discount: 50%
A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in a table, shown above. Use technology to find the equation of the least squares regression line. Then use the regression equation to predict the number of cans sold on a day that is 90*F Round your answer to the nearest whole number.
The regression equation to predict the number of cans sold on a day that is 90°F will be 871.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A convenience store manager notices that sales of soft drinks are higher on hotter days, so he assembles the data in the table, shown above. Use technology to find the equation of the least-squares regression line.
Then the regression line will be passing through (55, 340) and (84, 780). Then we have
y - 340 = 15.17(x - 55)
Then the regression equation to predict the number of cans sold on a day that is 90°F will be
y - 340 = 15.17 (90 - 55)
y = 871
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
Help me solve the volume for the sphere?
Answer:
38.77 yd³
Step-by-step explanation:
The volume of the sphere can be determined by using the formula 4πr³/3.
[Where "r" is the radius of the circle].
We are given that:
Radius of circle = 2.1 yd
When we substitute the radius in the formula, we get;
⇒ 4 × π × (2.1)³/3
Let π be substituted as 3.14. Then;
⇒ 4 × π × (2.1)³/3
⇒ 4 × (3.14) × (2.1)³/3
When evaulating the cube of 2.1, we get;
⇒ 4 × (3.14) × (2.1)³/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
When simplified, we get;
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (0.7)
⇒ 4 × (3.14) × (4.41) × (0.7)
⇒ (12.56) × (4.41) × (0.7)
⇒ 38.77272 ≈ 38.77 yd³ (Rounded to nearest hundredth)
Therefore, the volume of the sphere is 38.77 yd³.
I need help with number 8….
Pls help
The equation properties are:
The distributive propertyThe associative property.The associative property.How to determine the properties?
The equations are given as:
3 * (6 + 2) = 3 * 6 + 3 * 25 * (7 * 8) = (7 * 5) * 85 * 3 * 7 = 7 * 3 * 5The distributive property of an equation states that:
a * (b + c) = ab + ac
This means that 3 * (6 + 2) = 3 * 6 + 3 * 2 is represented by the distributive property.
The associative property of an equation states that:
a * (b * c) = (a * b) * c
This means that 5 * (7 * 8) = (7 * 5) * 8 and 5 * 3 * 7 = 7 * 3 * 5 are represented by the associative property.
Read more about equation properties at:
https://brainly.com/question/4077386
#SPJ1
What is the value of x?
99°
35°
81
55
46
134
Answer: 46
Step-by-step explanation:
The angles add to form a straight angle, so x+99+35=180. It follows that x=46.
If a job has salary of $470 a week, how much would it pay for a year
Answer:
$22560
step 1
$270 × 4month
=$1880 for a month
step 2
$1880×12months
= $22560
pls help this is urgent
aiden’s teacher tells him that the values in the table represent a proportional relationship.
x y
1 5
2. 10
3. 15
Based on the table, Alden claims that in order for a coordinate point to be in the proportional relationship, both the
x-coordinate and y-coordinate must be integers.
Determine a coordinate point that proves that Alden's claim is false.
Enter the x-coordinate in the first response box.
Enter the y-coordinate in the second response box.
Answer:
Step-by-step explanation:
im passing this concept trust me the answer is 12
The mean shoe size of the students in a math class is 7. 5. Most of the shoe sizes fall within 1 standard deviation, or between a size 6 and a size 9. What is the standard deviation of the shoe size data for the math class? 1. 5 2. 7 3. 0 3. 8.
Answer: 1.5
Step-by-step explanation:Let the standard deviation of the shoe size be represented by ' ' and the mean shoe size be represented by ' = 7.5'. Also, the sizes of the shoe be represented by ' '. So, . Hence, the standard deviation of the shoe size data for the math class is 1.5.
Q5 A and B
Unsure of how to go about this.
Thanks :)
Answer:
Step-by-step explanation:
the given angle measurments are x, (x + 18), and 2(x - 5)
knowing that the angles add up to 180, you can write the equation:
x + (x + 18) + 2(x - 5) = 180
Then you solve the equation
so our equation is:
x + x + 18 + 2(x - 5) = 180
*combine like terms
2x + 18 + 2(x - 5)
*distribute the 2
2x + 18 + 2x - 10
* combine like terms
4x + 8 = 180
* subtract 8 from both sides
4x = 172
* divide both sides by 4
x = 43
so knowing that x is 43, we can plug that in to the original given angle measurements:
the top angle which was x + 18 becomes 43 + 18, or 61
the bottom right angle was 2(x - 5), now it's 2(43 - 5) or 2(38) which is 76
and the other one was x so it's 43 degrees
We can check our work by adding them together.
61 + 76 + 43 = 180
they equal 180 as the angles of a triangle should.
Note: most of these numbers should have degree symbols, but I don't know how to type that.
Ruby owns a small business selling bagels. She knows that in the last week 4
customers paid cash, 10 customers used a debit card, and 74 customers used a credit
а
card.
If next week, she is expecting 1600 customers, about how many would you expect to
pay with cash? Round your answer to the nearest whole number.
Answer:
73 people
Step-by-step explanation:
4/10/74=88
1600/88=18.18
18.18 x 4= 73
18.18 x 10= 182
18.18 x 74= 1345
Answer: 73
Step-by-step explanation:
Dylan has 20x + 17 baseball cards. He gives 3x - 2 cards to his friend Tristan. How many cards does Dylan now have?
Answer:
17x-15
Step-by-step explanation:
I think.
Answer:
17x+19
Step-by-step explanation:
20x+17-(3x-2) (Set up the equation)
20x+17-3x+2 (Distribute the negative to both, double negative cancel out)
17x+19 (Combine Like terms)
2 + 5^2 / (30 - 5) + 3
2 + 5^2 / (30 - 5) + 3 = 6
---
Hope this helps! :)
Find the product of (x + 3)(x - 3).
x^2 - 6x + 9
x^2 + 6x + 9
x^2 + 9
x^2-9
Step-by-step explanation:
So the question is easy ....the thing that you need to do is just to multiply the expression and organize the like terms....okay so lets solvee..
[tex](x + 3)(x - 3)[/tex]
Solution,
[tex] = x(x - 3) + 3(x - 3)[/tex]
[tex] = {x}^{2} - 3x + 3x - 9[/tex]
[tex] = {x}^{2} - 9[/tex]
