Answer:
Step-by-step explanation:
e) 3√2 (-3√6 -2 -6)
3√2 (-3√6 - 8)
-9√12 - 24√2
-9√(2^2 * 3) - 24√2
-18√3 - 24√2
or
6(-3√3 - 4√2)
f) -5√2 (3 + 2√2 - 6 - 1)
-5√2(-4 + 2√2)
20√2 - 20
or
20(√2 - 1)
Anne deposited $500 in an account that earns 6% simple annual interest. Shelly deposited $500 in an account that earns 6% annual interest compounded annually. They leave the money in the account for 4 years. What is the difference between the two accounts?
Answer:
$11.23
Step-by-step explanation:
A) 500 + 4(.06*500)
[tex]500+4\left(0.06\cdot \:500\right)=620[/tex]
B) [tex]500\cdot \:1.06^4=631.23848[/tex]
If there are:
6 red marbles
10 yellow marbles
5 green marbles
and 1 blue marble
What is the probability of picking 1 red marble and 1 green marble?
(Once a marble is chosen it IS put back into the box).
(Write your answer in the form of a decimal, round to 2 places).
Answer:
[tex]probability = \frac{1}{2}[/tex]
Step-by-step explanation:
Probability is the chance of an event happening. It can simply be defined by the following formula,
[tex]probability = \frac{desired\ outcomes}{total\ outcomes}[/tex]
The total outcome is all of the possible outcomes or the sum of all of the types of marbles. The desired outcomes are the outcomes that one wants or the sum of the number of wanted marbles,
[tex]total\ outcomes = red+yellow+green+blue\\=6+10+5+1\\=22[/tex]
[tex]desried\ outcomes= red+green\\= 6 + 5\\=11[/tex]
Substitute into the formula to find the probability of an event:
[tex]probability = \frac{desired\ outcomes}{total\ outcomes}[/tex]
[tex]probability = \frac{11}{22}[/tex]
Simplify,
[tex]probability = \frac{11}{22}[/tex]
[tex]probability = \frac{1}{2}[/tex]
Verizon charges a $40 sign up fee and $60 a month for their new hotspot. T-Mobile charges a $100 sign up fee and then $40 per month for their new hotspot. After how many months of service will the two company's fees be the same?
It will take 3 months for both company's fees be the same
Let
y = total charges
x = number of months
Verizon:
y = 40 + 60x
T-Mobile:
y = 100 + 40x
Number of months it will take both companies to charge the same fee
Equate the total charges of both companies
40 + 60x = 100 + 40x
40 - 100 = 40x - 60x
-60 = - 20x
x = -60 / -20
x = 3 months
https://brainly.com/question/24374422
plz help me..... ....
Answer:
Step-by-step explanation:
⁴⁄₇ × ²⁄₃
Click the picture so that you can see the whole question
Answer:
8/21
Step-by-step explanation:
just multiply the numerator and denominator
Find the slope when Y2 equals 8Y1 equals 4 X2 equals 6 and X1 equals 7
Answer: -4 is slope
Step-by-step explanation:
formula is y2-y1/ x2-x1
8-4=4
6-7=-1
4/-1= -4
3. The volume of a cube is 216 cm'. What is the length of one side?
O 6 cm
6 cm3
72 cm
O 72 cm
Answer:
6 cm
Step-by-step explanation:
6 cm×6cm×6cm=216 cm³
What were the dimensions of the original photo? 4 inches by 4 inches 6 inches by 6 inches 10 inches by 10 inches 12 inches by 12 inches
Answer:
6 inches by 6 inches
Step-by-step explanation:
Area of the square = 256 inches ²
Given equation:
(x + 10)² = 256
Where,
x = side measure of the original square
(x + 10)² = 256
(x + 10)(x + 10) = 256
x² + 10x + 10x + 100 = 256
x² + 20x + 100 = 256
x² + 20x + 100 - 256 = 0
x² + 20x - 156 = 0
Solve the quadratic equation by factorization
Find two numbers whose product is -156 and sum is 20
The numbers are -26 and 6
x² + 26x - 6x - 156 = 0
x(x + 26) - 6(x + 26) = 0
(x + 26) (x - 6) = 0
x + 26 = 0 or x - 6 = 0
x = -26 or x = 6
Side length of a square can not be negative
Therefore,
x = 6 inches
6 inches by 6 inches
PLEASE HELP ME I WILL MARK BRAINLIEST!
compute the range of the figures into the table
please help! What is the domain of the function shown on the graph?
Answer:A
Step-by-step explanation:
ok please help i don't understand part of the question, I will try and give brainly
Answer:
j' = (1,-2) k'=(3,-1) L' = (3,-3)
Step-by-step explanation:
I think that you just multiply all the x,y values for the three points by 1/5?
5 1
-10 -2
j' = (1,-2)
~~~~~~~~~~~~~~~~~~
15 3
-5 -1
k'=(3,-1)
~~~~~~~~~~~~~~~
15 3
-15 -3
l' = (3,-3)
Determinar la altura de una antena que, A cierta hora del día,Arroja una sombra de 2.85 m, En ese preciso momento Marta que Mide 1.65 m Proyecta una sombra de 1.16 m
Answer:
La altura de la antena es 4.054 metros.
Step-by-step explanation:
La altura del objeto es perpendicular a la longitud de la sombra, tanto el triángulo rectángulo de la antena como el triángulo rectángulo de Marta son semejantes. La altura de la antena se determina mediante la siguiente relación:
[tex]\frac{h}{l} = \frac{H}{L}[/tex] (1)
Where:
[tex]h[/tex] - Altura de Marta, en metros.
[tex]l[/tex] - Longitud de la sombra de Marta, en metros.
[tex]L[/tex] - Longitud de la sombra de la antena, en metros.
[tex]H[/tex] - Altura de la antena, en metros.
Si sabemos que [tex]h = 1.65\,m[/tex], [tex]l = 1.16\,m[/tex] y [tex]L = 2.85\,m[/tex], entonces la altura de la antena es:
[tex]H = h\cdot \left(\frac{L}{l} \right)[/tex]
[tex]H = 1.65\,m \times \left(\frac{2.85\,m}{1.16\,m} \right)[/tex]
[tex]H = 4.054\,m[/tex]
La altura de la antena es 4.054 metros.
4. Find the center and radius of the circle given by this equation: x2 – 8x + y2 + 4y - 16 = 0
Answer:
Center ( 4 , -2) and r = 6
Step-by-step explanation:
x² - 8x + y² + 4y - 16 = 0
x² - 8x + y² + 4 y = 16
x²- 2*4x + y² + 2 *2y = 16
(x² - 2*4x + 16 ) - 16 + (y² + 2*2y + 4) -4 = 16
(x - 4)² + (y + 2)² = 16 + 16 + 4
(x - 4)² + (y -[-2])² = 36
(x- 4)² + ( y - [-2] )² = 6²
Compare with (x - h)²+ (y - k)² = r²
Center ( 4 , -2) and r = 6
find the volume of each figure. Round to the nearest tenth if necessary.
Answer:
3166.7
Step-by-step explanation:
Volume=pi*r^2*h
=pi*12^2*7=3166.7
Answer:
3166.7
Step-by-step explanation:
Volume of a cylinder= pi × radius² × height
3.14 × 12² ×7 = 3166.7
Which table has a constant of proportionality between y and x of 8/5
Answer:
A.) is my best guess
Step-by-step explanation:
IssaC is now x years old. Erika is 7 years older than Issac. In terms of how old was Erika 4 years ago ?
Answer:
Isaac = x
Step-by-step explanation:
Erika is 3y older than Isaac
Isaac is x years old
Answer: x+3
Work Shown:
x = Issac's age right now
x+7 = Erika's age right now
(x+7)-4 = x+3 = Erika's age four years ago
Create an equation in slope-intercept form for the line that passes through (3, 6) and (6, 10).
Answer: y = 4/3x + 2
Step-by-step explanation:
Use the slope form of y2 - y1/ x2 - x1 and substitute in the values from the coordinates. In this case, it would be 10-6/6-3, which gives you 4/3. Thus, that would be the slope(m). Then take a pair of coordinates (x,y) and substitute in the equation y = mx + b.
If you take the first coordinate (3,6): 6 = 3(4/3) + b
6 = 4 + b
b = 2
If you take the second coordinate (6, 10) : 10 = 6(4/3) + b
10 = 8 + b
b = 2
Then, substitute m and b into the equation (y = mx + b) to get your answer.
please help don’t understand question!
Answer:
[tex]{ \sf{ - 2 {a}^{5} + 4 {a}^{4} + 5 {a}^{3} + \frac{2}{3}a }}[/tex]
Answer:
D
Step-by-step explanation:
A polynomial is in standard equation when the degree of the polynomial are in descending order.
HELPPPP!!! FAST I WILL GIVE BRAINLIEST!!!!
Answer:
36% of the muffins sold were carrot.
Step-by-step explanation:
How many carrot muffins we have? 9
How many muffins we have in total? 25
So, 9/25. Convert 9/25 to percentage.
9/25 = 0.36
0.36×100
=36%
Answer:
36%
Step-by-step explanation:
Hello! I hope you are having a great day!! I am happy to help you with this problem.
We know that in total there were 25 muffins sold (you can count them) and 9 of which were carrot. This means that 9/25 of the muffins were carrot. Now we must turn 9/25 into a percentage.
9/25 * 100 = 0.36. 0.36 * 100 = 36%
And thats your answer!!
PLZZZZZZZZ HELP as soon as possible it's 60 point so please help
Consider the following function.
Place the steps for finding f -1(x) in the correct order.
↓
↓
↓
↓
Answer:
if f(x) = ax + b then f-1(x) = (x - b)/a
Step-by-step explanation:
Now
f(x)=ax + b
then y = ax + b
interchanging x and y , we get
or, x = ay + b
or, x - b = ay
or, (x - b)/a = y
therefore,f-1(x) = (x - b)/a
D= -2
E = [1 2]
17. Multiply matrix D by matrix E.
A. 2
B. [
48]
5 101
C.-2-4
1 2
D.
5-2 1
4 2
Answer:
here's the answer to your question
The polygons in each pair are similar. find the missing side length
If both are similar ratio of sides will be same
[tex]\\ \sf\longmapsto \frac{x}{25} = \frac{7}{5} \\ \\ \sf\longmapsto 5x = 7 \times 25 \\ \\ \sf\longmapsto 5x = 175 \\ \\ \sf\longmapsto x = \frac{175}{5} \\ \\ \sf\longmapsto x = 35[/tex]
If (x+2),3x and (4x+1)are in AP find the value of x
Answer:
x is 3
Step-by-step explanation:
[tex]{ \bf{U _{2} - U _{1} = U _{3} -U _{2} }}[/tex]
[tex]{ \tt{3x - (x + 2) = (4x + 1) - 3x}} \\ { \tt{2x - 2 = x + 1}} \\ { \tt{x = 3}}[/tex]
Answer:
value of x is 6
Step-by-step explanation:
got it right on edgenuit
Hay 31 estudiantes en una clase. Ocho (8) estudiantes miden más de 6 pies de altura. Diecisiete (17) estudiantes miden 5-6 "a 6'-0" de altura. Seis (6) estudiantes miden menos de 5-2". ¿Cuál es la razón entre el número de estudiantes de menos de 5'-2" y el número de estudiantes de más de 6 'de altura?
Answer:
4/3
Step-by-step explanation:
The path a character takes to navigate a level of a video game is given in the following graph.
What is the domain?
A. –4 ≤ x ≤ 8
B. –4 ≤ x ≤ 8, x ≠ 0, 4
C. –10 ≤ x ≤ 10
D. –10 ≤ x ≤ 10, x ≠ –4, 6
Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.
The domain of a graph is the set of input values accepted by the function. They are values along the x-axis of the graph.
According to the graph shown, the values along the x-axis lies between -10 and 10. Hence the domain of the graph will be expressed as:
–10 ≤ x ≤ 10
Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.
Learn more here: https://brainly.com/question/18486099
The area of the regular hexagon is 169.74 ft2. A regular hexagon has an apothem with length 7 feet and an area of 169.74 feet squared. What is the perimeter, rounded to the nearest tenth? 24.2 ft 28.3 ft 48.5 ft 56.8 ft
Answer: [tex]48.5\ ft[/tex]
Step-by-step explanation:
Given
Area of the regular hexagon is [tex]169.74\ ft^2[/tex]
Length of the apothem is [tex]l=7\ ft[/tex]
Suppose the side of the hexagon is a
Hexagon can be divided into six equal triangles with same area
Area of a single triangle is
[tex]\Rightarrow A_1=\dfrac{1}{2}\times 7\times a\\\\\Rightarrow A_1=3.5a\ ft^2[/tex]
Area of hexagon will be equal to area of 6 equal area triangles
[tex]\Rightarrow 6A_1=169.74\\\Rightarrow 6\times 3.5a=169.74\\\Rightarrow a=8.08\ ft[/tex]
Perimeter of the hexagon is
[tex]\Rightarrow P=6a\\\Rightarrow P=6\times 8.08\\\Rightarrow P=48.49\approx 48.5\ ft[/tex]
Thus, the perimeter of the hexagon is [tex]48.5\ ft[/tex]
Answer:
C
Step-by-step explanation:
edge 2021
if y - 1/y =8 then find the value of y^2-1/y^3
Step-by-step explanation:
[tex] {y}^{2} - \frac{1}{ {y}^{3} } [/tex]
factorise out y² ;
[tex] = {y}^{2} (1 - \frac{1}{y} ) \\ \\ = 8 {y}^{2} [/tex]
I really need help again.
Answer:
Y = -1/2X +4
Step-by-step explanation:
x1 y1 x2 y2
2 3 0 4
(Y2-Y1) (4)-(3)= 1 ΔY 1
(X2-X1) (0)-(2)= -2 ΔX -2
slope= - 1/2
B= 4
Y =-0.5X +4
Find the area of the shaded region. Use 3.14 for at as necessary. PLEASE HELP ASAP!!
A. 53.5cm^2
B. 132 cm^2
C. 26.8 cm^2
D. 17.1 cm^2
9514 1404 393
Answer:
A. 53.5cm^2
Step-by-step explanation:
The area of the circle is ...
A = πr²
A = 3.14(5 cm)² = 78.5 cm²
The area of the triangle is ...
A = 1/2bh
A = 1/2(10 cm)(5 cm) = 25 cm²
The shaded area is the difference between the circle area and the triangle area:
shaded = 78.5 cm² -25 cm² = 53.5 cm²
_____
Additional comment
As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).
The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.
Answer:
A.) 53.5 cm2
Step-by-step explanation:
I got it correct on founders edtell