Answer:
Step-by-step explanation:
let number be x
CASE 1) when x>13
2(x-13) = 4
2x - 26 = 4
2x = 30
x = 15
CASE 2) when x<13
2(13 - x) = 4
26 - 2x = 4
26 - 4 = 2x
22 = 2x
11 = x
Use square roots to solve the equation x2 = –64 over the complex numbers. Select any solutions that apply.
A. 8i
B. –8
C. –8i2
D. –8i
Answer:
Options A and D are correct
Step-by-step explanation:
Here, we want to find the square root of the negative number;
x^2 = -64
x^2 = 64 * -1
x= √64 * √-1
Mathematically we can write the √-1 as i
X = √64 * i
Square root of 64 is plus or minus 8
so x = -8i or 8i
The solutions of an equation are the true values of the equation.
The expression that represents the solution(s) of [tex]\mathbf{8i}[/tex] is [tex]\mathbf{-8i}[/tex]
The equation is given as:
[tex]\mathbf{x^2 = -64}[/tex]
Take square roots of both sides
[tex]\mathbf{x = \pm\sqrt{-64}}[/tex]
Expand
[tex]\mathbf{x = \pm(\sqrt{64} \times \sqrt{-1})}[/tex]
[tex]\mathbf{x = \pm(8 \times \sqrt{-1})}[/tex]
In complex numbers,
[tex]\mathbf{ \sqrt{-1} = i}[/tex]
So, we have:
[tex]\mathbf{x = \pm(8 \times i)}[/tex]
[tex]\mathbf{x = \pm8i}[/tex]
Split
[tex]\mathbf{x = 8i\ or -8i}[/tex]
So, the expression that represents the solution(s) of [tex]\mathbf{8i}[/tex] is [tex]\mathbf{-8i}[/tex]
Read more about expressions at:
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what place does the three sit at in 43,628,698,591
Answer:
Billion
Step-by-step explanation:
In 43,628,698,591 the three is in the Trillion spot.
One, Ten, Hundred, Thousand, Ten Thousand, Hundred Thousand, Million, Ten Million, Hundred Million, Billion.
There are 9 #’s after the 3 which means it is billions :)
10 POINTS!!!
PLEASE HELP:(
I know it’s really easy but i’m super confused. Can anyone help???
Answer:
t=1/5d
Hope this helps! :)
You want to buy a new case for your iPhone. The case is $37 and the tax is 6%. WHAT IS THE TOTAL?
Answer:
$39.22
Step-by-step explanation:
The case costs $37. $37 is 100% of the price of the case.
The tax is 6% of the cost of the case. When you add 6% to 100% you get 106%.
The total price including tax is 106% of the price of the case.
106% of $37 = 1.06 * $37 = $39.22
Answer: $39.22
2y + 4 = x + 2
Plz help solve for x in terms of y
Answer:
x=2y+2
Step-by-step explanation:
Answer:
2y + 2 = x
Step-by-step explanation:
Treat is like a normal equation and solve with inverse operations:
2y + 4 = x + 2
-2 -2
2y + 2 = x
The measure of angle JKL can be represented using the expression 3x + 5.
Answer:
The measure of ∠JKL is 65°
Step-by-step explanation:
Consider the provided diagram.
We need to find the degree measure of ∠JKL.
It is given that ∠JKM=45° and ∠MKL=x°
Also it is given that the measure of angle JKL can be represented using the expression 3x + 5.
Thus ∠JKL=3x+5
From the figure it can be concluded that ∠JKL is equal to the sum of ∠JKM and ∠MKL
This can be written as:
∠JKL = ∠JKM+∠MKL
Substitute the respective values in the above equation.
3x+5 = 45+x
Subtract x and 5 from both the sides.
3x+5-x-5 = 45+x-x-5
2x = 40
x = 20
Thus, the measure of ∠MKL=20°
Substitute the value of x in ∠JKL = 3x+5.
∠JKL = 3(20)+5
∠JKL = 60+5
∠JKL = 65
Hence, the measure of ∠JKL is 65°
Write four different equations that have –3 as the solution.
Pls help I'll mark u brainliest
Answer:
1-4
2-5
3-6
4-7
Step-by-step explanation:
Answer:
1 ) 5 - 82 ) -9 + 63 ) 6 ÷ -24 ) 1 × -3Step-by-step explanation:
5 - 8 = -3
-9 + 6 = -3
6 ÷ -2 = -3
1 × -3 = -3
You can check the calculator if you don't believe me!
Hope this helps! <3
Write the number as a power of 5. 125^3
Answer:
5^9
Step-by-step explanation:
125=5*5*5
125^3=125*125*125
125*125*125=3*(5*5*5)
the answer 5^9
The number as a power of 5 which is obtained by the number 125^3 using the power rule and simplifying is 5⁹.
What is the power rule?The power rule states that, when the term is raised with a power which is again raised by another power, then this can be simply written as one power by multiplying both the power.
It has to write the number 125³ as a power of 5. Let the resultant number as a power of 5 is n. Thus,
[tex]n=125^3[/tex]
Rewrite the number with multiples of 125.
[tex]n=(5\times5\times5)^3\\n=(5^3)^3[/tex]
By the power rule, the above expression can be rewritten as,
[tex]n=(5)^{3\times3}\\n=(5)^{9}\\n=5^9[/tex]
Thus, the number as a power of 5 which is obtained by the number 125^3 using the power rule and simplifying is 5⁹.
Learn more about the power rule here;
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Find the missing numbers:
X² + 9x + 14 = (x + 2)(x + ?)
Look at the table
What is the ratio of cows to horses?
pwease help me
Answer:
5:8 is the ratio of cows to horses.
What is the difference in solution in an equation and in an inequality?
Answer:
The variable in an equation is fully equal to the solution. In an inequality, the variable is a number, but it can also be less than or greater than a number. Some solutions in an inequality even have the variable less than or equal to or greater than or equal to.
Hope you understood a little bit...have an amazing day C:
Suppose Sine (x) = negative three-fifths and cos(x) < 0. What the value of cos(2x)?
Answer:
[tex]-\frac{7}{25}[/tex]
Step-by-step explanation:
Value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
What is trigonometric ratio?" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."
Identity used
[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]
According to the question,
Given value of trigonometric ratio,
[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]
Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,
[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]
Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex] the trigonometric identity ,
[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]
Hence , value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
Learn more about trigonometric ratio here
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The quadrilateral shown is a rhombus. What is m∠4?
A) 28°
B) 32°
C) 58°
D) 90°
In a rhombus, both pairs of opposite angles are congruent
so m<4=32 degrees
so your answer is 32 DEGREES
Tyler bought a jacket regularly priced $35.00.
With a 30% markdown and a sales tax of 6%, approximately what is the cost of Tyler's jacket?
Answer:
$25.97
Step-by-step explanation:
You want to find 70% of $35.00 because there is a 30% markdown meaning 70% of the original price. 70% is the same as 7/10.
to get the price after markdown multiply $35.00 by 7/10 which equals $24.5
Multiply $24.5 by .06 to get the sales tax which is $1.47
So the sales tax is $1.47 and the price after markdown is $24.5 so take the sum of both. $1.47 + $24.5 = $25.97
The cost of Tyler's jacket is $23.03.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Tyler bought a jacket regularly priced $35.00.
With a 30% markdown, the cost of jacket is
30% of 35
= 30/100 ×35
= 0.3×35
= 10.5
So, the cost of jacket is 35-10.5=$24.5
Now, sales tax on $24.5
That is, 6% of $24.5
= 6/100 ×24.5
= 0.06×24.5
= 1.47
Cost of jacket is 24.5-1.47
= $23.03
Therefore, the cost of Tyler's jacket is $23.03.
To learn more about the percentage visit:
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what is the answer to this question
Answer:
F
Step-by-step explanation: c=0.10m+30
Plzz give me brainliest
fill in the space to complete to equality:
3v-v²=v(__)
Answer:
3v-v² = v(3-v)
Step-by-step explanation:
Use distributive property on the right side of the equality.
Please help me answer this question 17
Answer:
∠AEC = 139°
Step-by-step explanation:
EC bisects ∠BED. This means that the line EC cuts the angle in half, so ∠BEC = 4x + 1
What is the unit rate for the number of hours charged?
Answer:
4.09
Step-by-step explanation:
just divide the given price by the hours
7. How far will a 700 N crate be moved if 2800 J or work are accomplished?
Answer:
s=W/F 2800J/700N=4m so the answer is 4m
For the function, f(x) = x - 2, find x if f(x) = -1.
log4 x + log4 (x – 3) = 1 Solve the equation.
Answer:
x is EQUIVALENT to 2.89
Step-by-step explanation:
Which graph has a slope of 2/3
Answer:
No. the slope is -2/3
Step-by-step explanation:
Count the spaces from one point (-3, 1) to (0, -1)
1 -(-1) / -3 - 0
- 2/3
Identify the axis of symmetry of the parabola.
Answer:
AOS: x = -1
Vertex: (-1, -2)
Step-by-step explanation:
Indentify the turning point of the graph with is x = -1.
Question 2 (5 points)
(07.02)
Simplify (3x - 5) + (3x + 6). (1 point)
Оа
бx - 1
Oь
1
Ос
бx - 11
Od
бx + 1
Answer:
Option d: 6x +1
Step-by-step explanation:
Xander goes to the movies with his soccer team. Each team member buys a ticket and two
boxes of popcorn. There are 13 team members.
Let t represent the cost of a ticket and p represent the cost of a box of popcorn.
a) Write two different expressions that represent the total amount the team spent.
b) Explain how each expression describes the situation in a different way.
Given that, the cost of a ticket = t and
cost of a box of popcorn = p.
Total members in the team = 13
As each team member buys 1 ticket and 2 boxes of popcorn, so, the amount spent by one member, [tex]C_1 = t+2p[/tex]
So, the total amount that the team spent [tex]= 13C_1[/tex]
(a) So, the first expression, representing the total amount spent by the team, is
[tex]13\times (t+2p)\cdots(i)[/tex]
On simplification, the second expression, representing the total amount spent by the team, is
[tex]13\timest + 13\times (2p)[/tex]
[tex]=13t+26p\cdots(ii)[/tex]
(b) The expression from the equation (i) represent the total amount spent as 13 times the expenses of one member, while equation (ii) is the sum of two terms where the first term, 13t, represents the total amount spent for buying the ticket and the second term, 26p, represents the total amount spent for buying popcorn
PLEASE HELP! Slope parallel to line y = 2x/3 + 4 PLZ!
Answer:
2/3
Step-by-step explanation:
I think you meant y=2/3x+4 because what you wrote is not the right way to right that equation, but anyways the slope of the parallel line is 2/3 because lines that are parallel have the same slope.
I hope this helps!
John has a piece of clay that weighs 12 1/2 pounds. He divides the clay into 5 equal pieces. How much does each piece weigh?
Answer:
2.44
Step-by-step explanation:
12 1/2 / 5 =2.44
try ur best
FRIEND ME :p
Answer:
6Step-by-step explanation:
If Kevin has 4 more points
than Carl, and then Tom has
2 fewer points than Carl, then Kevin
had 6 more points than all of Tom's points.
Hope this helps! <3
The circumference of a circle can be found by multiplying Pi by the diameter True False
Answer:
True
Step-by-step explanation:
You can find the circumference by multiplying Pi and the diameter.
Answer:
True. And if you only know the radius, multiply the radius by two to get the diameter.
Oscar is landscaping his yard. He is putting mulch in the flower beds to help minimize weeds. He has 4 1/4 bags of mulch in his shed to use. Each bag of mulch will cover 70.8 ft.2. If Oscar uses all of the mulch that he has, how many sq. ft. will it cover? a 75.05 ft.2 b 282 ft.2 c 300.9 ft2 d 284 ft.2
Answer:
c) 300.9 ft²
Step-by-step explanation:
He has 4 1/4 bags of mulch in his shed to use. Each bag of mulch will cover 70.8 ft².
Hence:
1 bag of mulch = 70.8ft²
4 1/4 bags of mulch = x ft²
Cross Multiply
1 bag × x ft² = 4 1/4 × 70.8
x ft² = 4 1/4 × 70.8/1
x = 300.9 ft²
Option c is correct.