Answer: What does I stand for? If you meant 1, 1 to the power of 5 is 1.
Answer:
i
Step-by-step explanation:
i^5=(i)(i)(i)(i)(i)
Since i^2=(i)(j)=-1,
it follows that i^4=(i^2)(i^2)=(-1)(-1)=1.
Thus i^4*i=i^5=1*i=i.
Therefore, i^5=i.
Solve for percent error: At a school production, the drama club advisor
predicted that there would be 200 people on the first night. Find the
percent error if 250 people attend.
Answer:
25 %
Step-by-step explanation:
Error = (actual - predicted) / (predicted)
= (250-200) / 200
= 50 / 200
= 0.25
multiply by 100 to conver to a percent
25 %
1 1/3 x 5 Multiply and answer with a mixed number in the simplest form.
Answer: 6 2/3
4/3 * 5
20/3
6 2/3
=
WHOLE NUMBERS AND INTEGERS
Word problem on unit rates associated with ratios of w
Charlie types at a rate of 14 words per minute.
How many words does he type in 2 minutes?
i words
OB
S
?
Samir sold 4 of his old Star Leaper video games at Trading Post Game Shop. Before he left, he spent $23.65 of his earnings on a controller. Samir had $6.35 remaining.
Which equation can you use to find the amount of money, v, Samir received for each video game? Also, can you solve for v?
The equation you can use to find the amount of money, v, Samir received for each video game is;
4v - 23.65 = 6.35 and v = $7.5
Algebraic word problemsSamir sold 4 oh his old star leaper video games.
He spent $23.65 of his earnings on a controller and has $6.35 left.If the amount received for each video game is v, the total cost of the 4 video games is; 4v
He spent $23.65 out of 4v and is left with $6.35Thus, this equation is;
4v - 23.65 = 6.35
Solving this gives;
v = $7.5
Read more about algebra word problems at; https://brainly.com/question/21405634
Factorise fully 2ab^3+ 8a^2b
The factorization of the given expression is 2ab(b²+4a).
The given expression is 2ab³+8a²b.
What is factorization?A number's factors are those that divide into another number equally. A number is factorized when it is written as the sum of smaller numbers.
The given expression can be factorize as follows:
2ab³+8a²b
Here, 2ab is the common factor from both the terms, Take it out side the bracket.
That is, 2ab(b²+4a)
Therefore, the factorization of the given expression is 2ab(b²+4a).
To learn more about the factorization visit:
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Find the value of y.
The value of y varies directly with x.If x=25 then y=20 .a. find the value y when x=8 b. find the value of x when y=32
is that two problems in one?
The product of the roots of the equation ax^2+x-24=0 is equal to -2 2/5. Find the value of a in the equation. Please help 100 points and branliest.
[tex]ax^2 + x -24 =0\\\\\text{If the roots are}~ \alpha ~ \text{and}~ \beta,\\\\\alpha \beta = -\dfrac{24}a \\\\\implies -2 \dfrac 25 = -\dfrac{24} a\\\\ \implies 2 \dfrac 25 = \dfrac{24} a\\\\\implies \dfrac{12}5 = \dfrac{24}a\\\\\implies 12a = 120\\\\\implies a =\dfrac{120}{12} =10[/tex]
P(A) = 8/15
P(B) = 6/15
P(A ∩ B) = 1/5
Find P(A U B)
4/15
11/15
1/15
2/15
Answer:
1/15
Step-by-step explanation:
Answer:
Step-by-step explanation:
1/15
Which sign makes this number sentence true?
|-56|___ 1561
A)>
B)<
C)=
D) X
The absolute value of -56 is 56
the new sentence is 56____1561
A is not true because 56 is not bigger then 1561 if you count and put on number line
B is very true if you look at A. 56 is smaller than 1516
So, the answer is a
I hope this helped if it's wrong, plz blame me.
Ps.Brainlist would help a lot
Answer:
B
Step-by-step explanation:
The | | around -56 means absolute value or the total of the number, which in this case is 56, therefore 56 is less than 1561.
Which operation should you perform first when you simplify 63 − (2 + 54 × 6) ÷ 5? A division B multiplication C subtraction D addition
Answer:
start with what's inside the parenthesis so in this case do 54x6 first then solve (2+ whatever the answer was by multiplying 54 times 6
Step-by-step explanation:
Answer A division
the ps/ms soccor team purchased uniforms and equipment for a total cost of 692. the equiptment cost 422 and the uniforms cost 30 each. how many unifroms were ordered
Answer:
The answer is 9 uniforms.
Step-by-step explanation:
You can set up the equation like this
Total Cost = Total Cost of Equipment + Total Cost of Uniforms
So the equation would be:
692 = 422 + 30 * (# of Uniforms)
So minus both sides by 422 and you get
692-422 = 30 * (# of Uniforms)
270 = 30 * (# of Uniforms)
Then divide both sides by 30 and you get
9 = # of Uniforms
So therefore, the answer is 9 Uniforms
Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
4.5
Step-by-step explanation:
To find the hypotenuse of a right triangle, we use Pythagorean's Theorem which states that [tex]a^{2}+b^{2} =c^{2}[/tex]. Plugging in the values of the two legs given, we get [tex]2^{2} +4^{2} =c^{2} =20[/tex]. We can take the square root of each side and get that [tex]c=\sqrt{20} =4.5[/tex].
Answer:
Try 4.5 or 5
Step-by-step explanation:
I measured it up and I estimated 4.5 at most
I got this homework packet , I did some of the questions but graphs are what I’m stuck on the most .
Answer:
For the first picture, I think it is C and the second one should be A.
Step-by-step explanation:
You use vertical lines and if it hits it multiple times it is not a function. Like if it hits two dots or something it is not a function. I hope that make sense, let me know if it doesn't.
Factor 2x^2 - 4x - 30 =0 ( divide by 2 first!)
Answer:
Let's apply the quadratic formula:
⇒
x
=
−
4
±
√
4
2
−
4
(
2
)
(
−
30
)
2
(
2
)
⇒
x
=
−
4
±
√
16
+
240
4
⇒
x
=
−
4
±
√
256
4
⇒
x
=
−
4
±
16
4
⇒
x
=
−
1
±
4
⇒
x
=
−
5
,
3
Therefore, the solutions to the equation are
x
=
−
5
and
x
=
3
.
.
Step-by-step explanation:
Explanation:
All the terms in the equation are even, so we can divide by 2 immediately to make the numbers smaller.
2
x
2
+
4
x
−
30
=
0
x
2
+
2
x
−
15
=
0
Try to factor before we use loner methods of the quadratic formula or completing the square.
Find factors of 15 which subtract (because of -15) to give 2.
The signs will be different (because of -15), there must be more positives. (because of +2)
5 and 3 will work!
5
×
3
=
15
and
5
−
3
=
2
(
x
+
5
)
(
x
−
3
)
=
0
Putting each factor equal to 0 gives the solutions:
x
=
−
5
or
x
=
3
Answer:
(x+3)(x-5)
Step-by-step explanation:
2x²-4x-30 = 0
devide by 2
; x²-2x-15 = 0
(x+3)(x-5) = 0
Twoyards of cost $13, and 5 yards of fabric cost $32.50. Which equation relates the cost of the fabric c to its length
Answer: c = 6.5I
Step-by-step explanation:
C = the cost of the fabric
I = the length of the fabric
C : I = 13 : 2
C : I = 32.50 : 5
C : I = 6.5
C = 6.5I
Jaime is preparing for a bicycle race. His goal is to
bicycle an average of at least 280 miles per week for
4 weeks. He bicycled 240 miles the first week,
310 miles the second week, and 320 miles the
third week. Which inequality can be used to
represent the number of miles, x, Jaime could bicycle
on the 4th week to meet his goal?
A)
240 + 310 + 320
3
+ x 280
B) 240 + 310 + 320 2 x(280)
C)
240 310 320
+- + +x280
4 4 4
D) 240 + 310 + 320 + x 2 4(280)
Using the mean concept, it is found that the inequality can be used to represent the number of miles, x, Jaime could bicycle on the 4th week to meet his goal is:
[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]
The mean of a data-set is the sum of all observations divided by the number of observations.
In this problem:
There are 4 observations.They are: 240, 310, 320 and x.Hence, the mean is:
[tex]M = \frac{240 + 310 + 320 + x}{4}[/tex]
His goal is to bicycle an average of at least 280 miles per week for 4 weeks, hence:
[tex]M \geq 280[/tex]
[tex]\frac{240 + 310 + 320 + x}{4} \geq 280[/tex]
To learn more about the mean concept, you can take a look at https://brainly.com/question/13451786
(please help) how many lines of symmetry does the figure have ? type the number only
Hope you could get an idea from here.
Doubt clarification - use comment section
a quter of 30 is=
pleas help
Answer:
7.5
Step-by-step explanation:
If 'quter' is quarter, then 30(1/4) is 7.5
A quarter of 30 is 7.5
All you gotta do is divided 30 by 4 cause a quarter is half of the half. It's the 1/4th part of the whole.
Evaluate.
(−16+0.6(−13)+1)2
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Use the distributive property to rewrite as an expression
5(x+3)
Answer:
5x+15
Step-by-step explanation:
you mulityply 5*x and 5*3
What is the slope of this line?
A.) −1/2
B.) 1/2
C.) 2
D.) I don't know.
Answer:
2
Step-by-step explanation:
Given that △ABC is an isosceles triangle with AB⎯⎯⎯⎯⎯≅AC⎯⎯⎯⎯⎯ and AD⎯⎯⎯⎯⎯ bisecting ∠BAC, which of the following proves that ∠ABD≅∠ACD?
The isosceles triangle having an angle bisector [tex]\overline{AD}[/tex] forms two congruent triangles.
ΔBAD ≅ ΔCAD, therefore, ∠ABD ≅ ΔBAD, by CPCTCReasons:
The given parameters are;
ΔABC is an isosceles triangle.
[tex]\overline{AB}[/tex] ≅ [tex]\overline{AC}[/tex]
[tex]\overline{AD}[/tex] bisects ∠BAC
Therefore, the proof that ∠ABD ≅ ∠ACD is given as follows;
1. [tex]\overline{AB}[/tex] ≅ [tex]\mathbf{\overline{AC}}[/tex] (Given)
2. [tex]\overline{AD}[/tex] bisects ∠BAC (Given)
3. ∠BAD ≅ ∠CAD (Definition of angle bisector)
4. [tex]\overline{AD}[/tex] ≅ [tex]\mathbf{\overline{AD}}[/tex] (Reflexive property of congruency)
5. ΔBAD ≅ ΔCAD (Side Angle Side, SAS rule of congruency based on steps 1, 3 and 4)
6. ∠ABD ≅ ∠ACD (Congruent Parts of Congruent Triangle are Congruent, CPCTC)
Learn more about SAS rule of congruency here:
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Need help please
It will be good if I get the answer as soon as possible please and thanks
Answer:
B 71 & 71
Step-by-step explanation:
OP is an angle bisector
Answer:
B
Step-by-step explanation:
Since angles MOP and NOP are both labeled as 2x+1, they must both be equivalent. The only answer choice which shows them to be equivalent is B.
Verification:
(2x+1)+(2x+1)=142
4x=140
x=35
(substitution)
2(35)+1 = 71
What is the equation of the line with a slope of
−
1
4
and a y-intercept of –3?
A.
y
=
−
3
x
+
1
4
B.
y
=
−
1
4
x
+
3
C.
y
=
−
1
4
x
−
3
D.
y
=
−
3
x
−
1
4
the square root of 700 times square root of 525 in simplest form
Answer: 350 [tex]\sqrt{3[/tex]
Step-by-step explanation:
700^0.5 = 10 [tex]\sqrt{7\\[/tex]
525^0.5 = 5 [tex]\sqrt{21[/tex]
10[tex]\sqrt{7[/tex] x 5[tex]\sqrt{21[/tex] = 50 x 7 x [tex]\sqrt{3[/tex] = 350[tex]\sqrt{3\\[/tex]
the students printed 150 flyers to advertise their community dog show. jose posted 40%
Answer: what’s the full question??
A can of soup is a cylinder with diameter 7 cm.
The can is 10 cm high
The can is full of soup
soup
The soup is poured into a saucepan.
The saucepan is a cylinder with diameter 12 cm.
Work out the depth of the soup in the saucepan.
Give your answer correct to 1 decimal place.
Answer:
3.4 cm
Step-by-step explanation:
We can solve this by calculating the volume of the soup and then figuring out the height of the soup in the saucepan from there.
Cylinder volume: πr²h
r = 0.5 * diameter
volume of soup: π(3.5)²10 ≈ 384.845
volume of soup in saucepan: 384.845
For saucepan:
πr²h = π(6)²h = volume = 384.845
36πh = 384.845
divide both sides by 36π to isolate h
h ≈ 3.4 cm
Helpppp meee pleaseeee
Answer:
the correct answer is ( ZYXW ) because the given polygon is a rectangle and its properties is that the opposite sides are equal means the lenght and breath of the unknown side for the big rectangle is 6 , 3 and for small rectangle the the unknown sides are 1 , 2 only so now you've got all the side of both polygons so now you take the ratio of each side and then you can easily find the sides
Step-by-step explanation:
Hope it helps
Have Nice Day : )
Rajesh gave ½ of his provident fund to his wife, ¼ to his son and the remainder was to be divided equally between his two brothers so that each brother got Rs 10000. What was the amount of provident fund ?
This is the number 80 thousand
==========================================================
Explanation:
1/2, aka 2/4, of the original fund was given to his wife and 1/4 was given to his son. That totals 3/4 since 2/4+1/4 = (2+1)/4 = 3/4.
In short, 3/4 of the fund is distributed between the wife and son. That leaves 1/4 of the fund for the two brothers to share equally.
Imagine a cake cut into quarters. Then cut each slice in half to get eighths, i.e. there are 8 equal slices. This means each brother gets 1/8 of the fund.
Since each brother got Rs 10000, this must mean the original fund is worth 8*10000 = 80000
Taking 1/8 of Rs 80000 will get us Rs 10000 for each brother.
----------------------------------
Checking the answer:
original fund amount = 80000
1/2 of 80000 = 40000 is the amount the wife gets
1/4 of 80000 = 20000 is the amount the son gets
That totals 40000+20000 = 60000 leaving 80000-60000 = 20000 leftover for the two brothers to share. Cut that 20 thousand figure in half to arrive at Rs 10000 for each brother. These steps help confirm the answer.
----------------------------------
Another method using algebra:
x = original amount of the fund
W = x/2 = 2x/4 = half of the fund = amount wife gets
S = x/4 = quarter of the fund = amount the son gets
W+S = (2x/4) + (x/4) = (2x+x)/4 = 3x/4
W+S represents the sum of the wife's and son's amounts.
We'll subtract this from the original amount x to find out what's left
x - (W+S) = x - (3x/4) = (4x/4) - (3x/4) = (4x-3x)/4 = x/4
This shows that 1/4 of the fund is left over after distributing to the wife and son.
The amount x/4 is then cut in half to get x/8 to represent the amount each brother gets. We're told that amount is Rs 10000
So,
x/8 = 10000
x = 8*10000
x = 80000
The original fund is worth Rs 80000