Answer:
625
Step-by-step explanation:
The modulus of 3 - 4i is
[tex]\sqrt{3^2+(-4)^2}[/tex] = [tex]\sqrt{9+16}[/tex] = [tex]\sqrt{25}[/tex] = 5, thus
| [tex](3-4i)^{4}[/tex] |
= [tex]5^{4}[/tex]
= 625
Pls help me ooo Pls it's urgent : Solve:a-(7-a)=5
Answer: a=6
Step-by-step explanation:
a-(7-a)=5
a-7+a=5
2a-7=5
2a=12
a=6 :)
Answer:
[tex]\Huge \boxed{a=6}[/tex]
Step-by-step explanation:
[tex]a-(7-a)=5[/tex]
We need to isolate the [tex]a[/tex] variable on one side of the equation to find the value.
Distribute the negative sign.
[tex]a-7+a=5[/tex]
Combine like terms.
[tex]2a-7=5[/tex]
Add 7 to both sides of the equation.
[tex]2a=12[/tex]
Divide both sides of the equation by 2.
[tex]a=6[/tex]
A petroleum laboratory technician can perform 56 tests on samples in 7 hours. At this rate, how many of the same
tests could the technician perform in 8 hours?
49
57
64
105
120
Answer:
64
Step-by-step explanation:
56/7 = 8
8*8 = 64
64 tests
Gasoline prices are given to the nearest thousandth of a dollar. If a gallon of gasoline costs $3.49 and increases $0.09, what is the price of gasoline after the increase?
Answer:
$3.58
Step-by-step explanation:
Since the cost is increasing, you need to add the two values together.
$3.49 + $0.09 = $3.58
The price of gasoline after the increase is $3.58.
13 upon 5, 11 upon 6, 17 upon 8....write in decimal form
Answer:
[tex]\large \boxed{\mathrm{see \ below}}[/tex]
Step-by-step explanation:
13 upon 5 is 13/5
13/5 in decimal form is 2.6
11 upon 6 is 11/6
11/6 in decimal form is 1.833333...
17 upon 8 is 17/8
17/8 in decimal form is 2.125
Approximately how much dirt is needed to fill a cone with a diameter of 6 in. and a height of 3 in.?
Answer:
Amount of dirt needed to fill the cone = 28.28 in³ (Approx)
Step-by-step explanation:
Given:
Diameter = 6 in
Radius (r) = 6 / 2 = 3 in
Height (h) = 3 in
Find:
Amount of dirt needed to fill the cone
Computation:
Volume of cone = (1/3)πr²h
Volume of cone = (1/3)(22/7)(3)(3)(3)
Volume of cone = 28.28 in³
Amount of dirt needed to fill the cone = 28.28 in³ (Approx)
Solve the equation. x/8=0.625
Answer:
X = 5
Step-by-step explanation:
x in (-oo:+oo)
x/8 = 0.625 // - 0.625
x/8-0.625 = 0
1/8*x-0.625 = 0 // + 0.625
1/8*x = 0.625 // : 1/8
x = 0.625/1/8
x = 5
x = 5
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
:)
Answer:
x = 5
Step-by-step explanation:
[tex] \frac{x}{8} = 0.625[/tex]First convert the decimal to an improper fraction
That's
[tex]0.625 = \frac{5}{8} [/tex]So we have
[tex] \frac{x}{8} = \frac{5}{8} [/tex]Multiply through by 8
That's
[tex]8 \times \frac{x}{8} = \frac{5}{8} \times 8[/tex]We have the final answer as
x = 5Hope this helps you
A ship is 5 miles east and 2 miles north away
from port and then it is 3 miles east and 8
miles south away from port. Write the linear
model algebraically.
I need help ASAP please
Answer:
Step-by-step explanation:
A ship is 5 miles east and 2 miles north away
from port and then it is 3 miles east and 8
miles south away from port. Write the linear
model algebraically.
I need help ASAP please
please help on 7 to be marked the brainliest
Answer:
D) 3.57%
Step-by-step explanation:
The percentage change is given by ...
percent change = ((new value) -(old value))/(old value) × 100%
= (3.19 -3.08)/3.08 × 100% = 0.11/3.08 × 100% = (11/3.08)% ≈ 3.57%
__
When dealing with percentages, you need to be clear about what number represents 100%, the reference value against which errors or changes are measured. Here, it is the π of the mug, 3.08.
The deepest point of Lake Titicaca in South America is -922 feet relative to its surface. The deepest point is 11,542 feet above sea level. What is the elevation of the surface of the lake? Use absolute value to explain.
Answer: 12464 feet
Step-by-step explanation:
Given: The deepest point of Lake Titicaca in South America is -922 feet relative to its surface.
We use absolute function, then the deepest point of Lake Titicaca in South America is |-922|=922 feet.
The deepest point is 11,542 feet above sea level.
That means, the elevation of the surface of the lake is the sum of 922 feet and 11,542 feet which is given by (922+ 11,542) feet =12464 feet
Hence, the elevation of the surface of the lake = 12464 feet
Mr. Rush wants to store 20.5 cups of spaghetti sauce in containers. Each container holds a maximum of 2.5 cups of sauce. What is the minimum number of containers Mr. Rush needs to hold all of the spaghetti sauce? 1 point
The answer is 9
Explanation:
We know the total amount of spaghetti sauce is 20.5 cups; additionally, each container can be filled with a maximum of 2.5 cups of this sauce. In this context, the process to know the number of containers Mr. Rush needs to store all the sauce is to divide the total amount by the amount each container can hold.
20.5 cups of sauce ÷ 2.5 cups per container = 8.2 containers
This means 8 containers can be completely filled and a ninth container is required to hold the small amount of the sauce missing (0.2)
Find the total monthly cost of owning and maintaining a car given the information shown. Monthly car payment Monthly insurance cost Average cost of gasoline per month Average maintenance cost per month $274.96 $ 77.00 $ 89.20 $ 16.38
Answer:
$457.54 total
Step-by-step explanation:
Just add the numbers altogether:
274.96
77.00
89.20
16.38
$457.54 total
The required total monthly cost of owning and maintaining a car, given the information shown, is $457.54.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
To find the total monthly cost of owning and maintaining a car, we need to add up the monthly car payment, the monthly insurance cost, the average cost of gasoline per month, and the average maintenance cost per month.
Adding these values, we get:
Total monthly cost = Monthly car payment + Monthly insurance cost + Average cost of gasoline per month + Average maintenance cost per month
= $274.96 + $77.00 + $89.20 + $16.38
= $457.54
Therefore, the total monthly cost of owning and maintaining a car, given the information shown, is $457.54.
Learn more about arithmetic here:
https://brainly.com/question/11424589
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what makes a great society in china
solve by showing work -15 - (-12)
Answer:
-3
Step-by-step explanation:
-15 - (-12) = -15 + 12 = -3
Is 2.3454128904 irrational
Answer:
yes
Step-by-step explanation:
irrational numbers are the numbers which cannot be written as simple fractions
Jacques determines the remainder of −17x53+12x9−5x2−11x+1, using the remainder theorem. How does he proceed to the correct answer? A- Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −11. B- Jacques evaluates the numerator of the expression when x = 1. He finds the remainder of the division to be −21. C- Jacques evaluates the numerator of the expression when x = 1. He finds the remainder of the division to be −11. D- Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −21.
Answer:
Jacques evaluates the numerator of the expression when x=−1. He finds the remainder of the division to be −11.
Step-by-step explanation:
Got 100% on the test.
Solve for y.
4y - 4= 4.
Answer:
y=2
because 4x2 =8 then 8-4 equals to 4 which is what your trying to get
what is the distance between the points ( - 1 , -3 ) and ( 5 , -2 )
Step-by-step explanation:
let the point A( - 1 , -3 ) and B( 5 , -2 )
here, x1 = -1; x2 = 5
y1 = -3; y2 = - 2
Now, the distance between A and B
[tex]AB = \sqrt{(x _{1} - {x}_{2} ) {}^{2} + (y _{1} - y _{2}) {}^{2} } [/tex]
[tex]AB = \sqrt{( - 1 - 5) {}^{2} + ( - 3 ( - 2) {}^{2} }[/tex]
[tex]AB = \sqrt{36 + 1} = \sqrt{37} [/tex]
Thus, The Distance between AB is
[tex] \sqrt{37} [/tex]
Adding and subtracting
(6x²)-(2x)
Answer:
[tex]\huge \boxed{{2x(3x-1)}}[/tex]
Step-by-step explanation:
[tex](6x^2)-(2x)[/tex]
Apply rule : [tex]-(a)=-a[/tex]
[tex]6x^2-2x[/tex]
The expression cannot be simplified further.
Factor out 2x from the expression.
[tex]2x(3x-1)[/tex]
Answer:
[tex](6x {}^{2}) - (2x)[/tex]
Remove unecessary parentheses[tex]6x {}^{2} { - 2x}[/tex]
Solution
[tex]6x {}^{2} - 2x [/tex]
What is the upper quartile value of the data summarized on the box plot?
A) 30
B) 40
C) 95
D) 100
Answer:
95
Step-by-step explanation:
what two numbers multiply to -18 and and add to -7
Answer:
2 and -9
Step-by-step explanation:
Find x.
help i have no idea
Answer:
18
Step-by-step explanation:
The triangle on the left is a 30-60-90 triangle.
The ratio of the lengths of the sides is:
short leg : long leg : hypotenuse
1 : √3 : 2
The short leg of the left triangle is half the hypotenuse.
12√6 / 2 = 6√6
The long leg of the left triangle measures √3 times the short leg.
6√6 * √3
The triangle on the right is a 45-45-90 triangle.
The ratio of the lengths of the sides is:
short leg : long leg : hypotenuse
1 : 1 : √2
The length of the leg is the length of the hypotenuse divided by √2.
6√6 * √3 / √2 = 18
A deep sea diver descends below the surface of the water at a rate of 60 feet each minute. What is the depth of the diver after 10 minutes.
Answer:
600 feet
Step-by-step explanation:
60 feet per minute
m = minute
60m
60(10)
600 feet
On a coordinate plane, a piecewise function has 2 lines. The first line has an open circle at (0, negative 2) and continues up through (negative 5, 3) with an arrow instead of an endpoint. The second line has a closed circle at (0, 0) and continues down with a negative slope through (4, negative 2) with an arrow instead of an endpoint. Which defines the piecewise function shown?
[tex]\bold{\text{Answer:}\quad f(x)=\bigg\{\begin{array}{ll} -x-2&;x<0\\ -\frac{1}{2}x&;x\geq0 \end{array}}[/tex]
Step-by-step explanation:
Find the equation of each line in Slope-Intercept form: y = mx + b
Line 1 passes through (-5, 3) and (0, -2) --> m = -1, b = -2
--> y = -x - 2
Line 2 passes through (0, 0) and (4, -2) --> m = -1/2, b = 0
--> y = -(1/2)x + 0
Now that you have the equations, evaluate which x-values are included.
Line 1: open dot at x = 0 and line goes to the left --> x < 0
Line 2: closed dot at x = 0 and line goes to the right --> x ≥ 0
Now you have all the information you need to write the piecewise function:
[tex]\large\boxed{f(x)=\bigg\{\begin{array}{ll} -x-2&;x<0\\ -\frac{1}{2}x&;x\geq0 \end{array}}[/tex]
The piece wise function can be written as
[tex]f(x) = -x-2 \; for\; x < 0[/tex]
[tex]f(x) = \dfrac{-1}{2}x \; for\; x \geq 0[/tex]
The Equation of line passing through [tex](x_1,y_1)\; and \; (x_2,y_2)[/tex] can be given by equation (1)
[tex]y -y_1 = \dfrac{y_2 -y_1 }{x_2 - x_1} (x-x_1) ........(1)[/tex]
The equation of line passing through (0,-2) and (-5,3) =
[tex]y-(-2) = \dfrac{3-(-2)}{-5-0}\times (x-0)[/tex]
[tex]y +2 = -x\\y = -x -2 ......(2)[/tex]
Similarly the line passing through (0,0) and (4,-2) =
[tex]y- 0 = \dfrac{-2 -0}{4-0} (x-0)\\y = \frac{-1}{2} x......(3)\\2y =-x \\x +2y =0[/tex]
The first line has an open circle at (0, -2) and continues up through (-5, 3) with an arrow instead of an endpoint.
The second line has a closed circle at (0, 0) and continues down with a negative slope through (4, -2) with an arrow instead of an endpoint. [tex]f(x) = \dfrac{-1}{2}x \; for\; x < 0[/tex]
Hence the piece wise function can be defined by equations (2) and (3)
[tex]f(x) = -x-2 \; for\; x < 0[/tex]
[tex]f(x) = \dfrac{-1}{2}x \; for\; x \geq 0[/tex]
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please help me on this i’ll mark u the brainliest
Answer:
x = 14Step-by-step explanation:
(4x - 2)° + [180° - (7x - 3)°] + 41° = 180°
(4x)° - 2° + 180° - (7x)° + 3° + 41° = 180°
+2°-180°-3°-41° +2°-180°-3°-41°
- (3x)° = - 42°
÷(-3) ÷(-3)
x° = 14°
x = 14
3 Which property can be used to expand the expression
[tex] - 2( \frac{3}{4} \times + 7)[/tex]
Answer: Distributive Property
Step-by-step explanation:
[tex]-2\bigg(\dfrac{3}{4}x+7\bigg)\\\\\\\text{DISTRIBUTE -2 to both terms:}\\-2\bigg(\dfrac{3}{4}x\bigg)+(-2)7\\\\\\\text{Simplify:}\\-\dfrac{3}{2}x-14[/tex]
Calculate the area
[tex]A=a\cdot b\cdot \sin\angle AB\\\\A=5\cdot8\cdot\sin63^\circ\\\\A=40\cdot0.891\\\\\boxed{A=35.64}[/tex]
Answer:
[tex]\huge \boxed{\mathrm{35.64 \ units^2 }}[/tex]
Step-by-step explanation:
The adjacent side lengths and an angle is given.
We need to find the height of the parallelogram.
A small right triangle is formed with an angle of 63 degrees and an hypotenuse of 5 units.
We can use trigonometric functions to solve for the height.
sin θ = opp/hyp
sin 63 = h/5
Multiplying both sides by 5.
h = 5 sin 63
h ≈ 4.45503262
Area of parallelogram = base × height
A = 8 × 4.45503262
A = 35.640261
if a square + b square + c square is equal to 50 and AB+ BC + CA equal to 3 find a + b + c
Step-by-step explanation:
Taking LHS of the identity:
(a + b +c)2
This can also be written as:
= (a + b + c) (a + b + c)
Multiply as we do multiplication of trinomials and we get:
= a(a + b + c) + b(a + b + c) + c(a + b + c)
= a2 + ab + ac + ab + b2 + bc + ac + bc + c2
Rearrange the terms and we get:
= a2 + b2 + c2 + ab + ab + bc + bc + ac + ac
Add like terms and we get:
= a2 + b2+ c2 + 2ab + 2bc + 2ca
Hence, in this way we obtain the identity i.e. (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
-5x - 5y + 4x - (2y + 3)
Step-by-step explanation:
-5x - 5y + 4x - (2y + 3)
= - 5x + 4x - 5y - (2y + 3)
= - x - 5y - 2y - 3
= - x - 7y - 3 ( Answer )
Answer:
-x-7y-3
Step-by-step explanation:
distribute parentheses:
-(2y)-(3)= -2y-3
= -5x-5y+4x-2y-3
simplify
group like terms= -5x+4x-5y-2y-3
add similar elements= -x-5y-2y-3
add similar elements= -x-7y-3
Therefore, simplest expression is -x-7y-3
I hope this helps!!!
Find the answer please
1st set = 4 letters
2nd set = 4x 4 = 16 letters
3rd set = 16 x 4 = 64 letters
4th set = 64 x 4 = 256 letters
5th set = 256 x 4 = 1,024 letters
6th set =1024 x 4 = 4,096 letters
7th set = 4096 x 4 = 16,384 letters
8th set = 16,384 x 4 = 65,536 letters
Each letter cost 2
Total cost = 65,536 x 2 = 131,072
Solve the following equation.
3(5x+4)−20=13x−4
A. -2
B. 2
C. 8
D. 4
Answer:
B
Step-by-step explanation:
Hi!
3(5x+4)−20=13x−4
15x+12-20=13x-4 Distribute the 3 to the 5x and 4
15x-8=13x-4
2x-8=-4 Subtract 13x from both sides
2x=4 Add 8 to both sides
x=2 Divide both sides by 2
So 2 is the answer :)