Answer:
5^(3)i^(9)= five cubes times i to the power of 9=125i
Step-by-step explanation:
Raise 5 to the power of 3
rewrite i9 as (i^4)2^i
so, you get 125((i^4)^2i)
i^4=1
125(1^2i)
125i
1. Which statement is not true? A. Rational numbers are closed under division. B. Odd numbers are closed under multiplication. C. Prime numbers are closed under subtraction. D. Integers are closed under addition
Answer:
integers are closed under division
Step-by-step explanation:
Integers are not closed under division.Let us consider two integers i and j.
Then need not necessarily be an integer. For example, 2 and 3 are integers but is not an integer. So the first option , namely, integers are closed under division is not true.
On the other hand, the remaining three options given are correct.
Omar paid $23.60 for 29.5 centimeters of wire. Find unit price in dollars per centimeter
Answer:
$0.80
Step-by-step explanation:
$23.60 divided by 29.5cm = $0.80 per cm.
What is the perimeter of a 6-inch square? 20 inches 24 inches 18 inches 14 inches
Answer:
24 inches
Step-by-step explanation:
the perimeter of a square with a side measurement of 6 inches is equal to 24 inches.
Plsss help
Explain how the shapes shown have been sorted.
Answer:
A have no right angles and B had all right angles.
How would the following decimal read: 321.222
Answer:
Three hundred twenty-one and two hundred twenty-two thousandths.
Step-by-step explanation:
Take a glance at the image.
Please accept my apologies if it appears to look bad-
how to find the area of a triangle with a base of 4 1/2 and a height of 2 2/3
Answer:
The area is 4.
Step-by-step explanation:
hope this helps.
PLEASE ANSWER ASAP WILL GIVE brainiest TO THE FIRST CORRECT ANSWER
You are hired by a state park and recreation department to determine whether it would be more economical to construct a walking bridge across a gorge or a walking path around it. The path involves walking 1170 feet, taking a 90° left turn, and walking another 520 feet. The path costs $6 per foot, and the bridge costs $11 per foot. The bridge is the preferred option when it is within $1500 of the path’s cost. Which option should you recommend? Explain. Be sure to use numbers in your explanation to support your decision.
The hypotenuse of the right triangle which is the bridge is not the preferred option because it cost is above $1500.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem.
Therefore, the hypotenuse side is the bridge length.
c² = a² + b²
where
c = hypotenusea and b are the other legsHence,
c² = 1170² + 520²
c² = 1368900 + 270400
c = √1639300
c = 1280.35151423
The bridge is the prefered option when the cost is within $1500. Therefore,
cost of the bridge = 11 × 1280.35151423 = $14083.87
Therefore, the bridge is not the prefered option
learn more on right triangle here: https://brainly.com/question/27309330
solve this following equations. 1.x-2/5-x-4/2=2
Answer: hii
There are no values of x
that make the equation true.
Step-by-step explanation:
No solution.
hopefully this helps you.
- Matthew
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 6 feet and a height of 18 feet. Container B has a diameter of 8 feet and a height of 17 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?
The percent of container B that is left after pumping the water of Container A full in it is 40 per cent .
Step by step explanation :
Given -
Two containers ( Container A & Container B ) in shape of cylinders.Diameter of Container A = 6 feetHeight of Container A = 18 feet Diameter of container B = 8 feet Height of Container B = 17 feetTo find -
The percent of container B that is left after pumping the water of Container A full in it.
Solution -
Firstly, we have to find how much water each container can hold i.e. volume of containers .
We know that -
[tex] \boxed{ \mathfrak \purple{volume \: of \:cylinder = \pi {r}^{2} h} }[/tex]where, r is the radius of the cylinder & h is the height of the cylinder.
Now,
For Container A
Given, diameter = 6 feet
.•. Radius = [tex] \frac{6}{2} [/tex]
[tex] = 3 \: \mathfrak{feet}[/tex]
Height = 18 feet
•.• Volume of Container A = [tex] \frac{22}{7} \times {3}^{2} \times 18[/tex]
[tex] = \frac{22}{7} \times 3 \times 3 \times 18[/tex]
[tex] = \frac{3564}{7} [/tex]
[tex] = 509.142857 \:{ft.}^{3} \mathfrak{(approximately)}[/tex]
Rounding off to the nearest tenth . ..
[tex] => 510 \: \mathfrak{ {feet}^{3} }[/tex]
For Container B
Given, Diameter = 8 feet
.•. Radius = [tex] \frac{8}{2} [/tex]
[tex] = 4 \: \mathfrak{feet}[/tex]
Height = 17 feet
•.• Volume of Container B = [tex] \frac{22}{7} \times {4}^{2} \times 17[/tex]
[tex] = \frac{22}{7} \times 4 \times 4 \times 17[/tex]
[tex] = \frac{5984}{7} [/tex]
[tex] = 854.857143 \: {ft.}^{3} \mathfrak{(approximately)}[/tex]
Rounding off to the nearest tenth. ..
[tex] => 850 \: \mathfrak{ {feet}^{3} }[/tex]
Now,
Volume container B that is left after pumping the water of Container A in it = Volume of Container B - Volume of Container A
= ( 850 - 510 ) ft^3
= 340 ft^3
Now ,
The percent of container B that is left after pumping the water of Container A in it = Volume container B that is left after pumping the water of Container A /Total volume of Container B × 100
[tex] = \frac{340}{850} \times 100[/tex]
[tex] = \boxed{ 40 \: \%}[/tex]The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.
Answer:
[tex]20[/tex].
Step-by-step explanation:
In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:
[tex]a + b > c[/tex],
[tex]a + c > b[/tex], and
[tex]b + c > a[/tex].
In this question, the length of the sides are [tex]10[/tex], [tex]24[/tex], and [tex]x[/tex]. The length of these sides should satisfty the following inequalities:
[tex]10 + 24 > x[/tex],
[tex]10 + x > 24[/tex], and
[tex]24 + x > 10[/tex].
Since [tex]x > 0[/tex], the inequality [tex]24 + x > 10[/tex] is guarenteed to be satisfied.
Simplify [tex]10 + 24 > x[/tex] to obtain the inequality [tex]x < 35[/tex].
Similarly, simplify [tex]10 + x > 24[/tex] to obtain the inequality [tex]x > 14[/tex].
Since [tex]x[/tex] needs to be a whole number, the greatest [tex]x[/tex] that satisfies [tex]x < 35[/tex] would be [tex]34[/tex]. Similarly, the least [tex]x\![/tex] that satisfies [tex]x > 14[/tex] would be [tex]15[/tex]. Thus, [tex]x\!\![/tex] could be any whole number between [tex]15\![/tex] and [tex]34\![/tex] (inclusive.)
There are a total of [tex]34 - 15 + 1 = 20[/tex] distinct whole numbers between [tex]15[/tex] and [tex]34[/tex] (inclusive.) Thus, the number of possible whole number values for [tex]x[/tex] would be [tex]20[/tex].
plss help :))))))))))))))))))))))))))))))))))))))))))))))))))0
Step-by-step explanation:
Diameter is 18
So radius will be d/2 which is 9
As the formula of area is
[tex] \pi{\r}^{2} [/tex]
So put the vales
We get s
254
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Without graphing, determine the number of solutions to the system of equations.
{6x−4y=9, 12x−8y=18
Select the correct answer below:
no solution
one solution
infinitely many solutions
Answer:
Infinitely many solutions
Step-by-step explanation:
(1) ---- 6x - 4y = 9
(2)---- 12x - 8y = 18
If you multiply (1) by 2 → 12x - 8y = 18 --- (3)
and then when you compare (2) and (3), you'll find that you still can't find the value of X and Y therefore, there's infinitely many solutions
Answer:
Infinitely Many Solutions!!
Step-by-step explanation:
You need to do elimination method!!
This is because we need to top the equation to cancel out and become negative.
6x−4y=9
12x−8y=18
You could do 6x and everything multiplied by -2. But 4y can do the same too!!
I rather do 4y x -2!
-12x+8y=-18
12x−8y=18
Everything cancels out!!
0=0
But 0 equals to 0 goes on forever so the answer is infinite solutions!!
**The reasoning behind the two other choices**
No solution would be like -3=0 which is not our case!!
One solution has something that goes into everything evenly!
One number is 4 more than another number. If the greater number is x, what is the other number?
first number: x
second number: x -4
1 Whatis the value ofthe expression y 1/2 +z)+6 ( 2 + when y= 2 and 7 = 3 ? 4
.A) 57/8
.B) 19/2
.C) 17/2
.D) 22/3
30 BRAINLY points plus user!!!
2(1/2+3/4)+6=
17/2 or 8.5
The answer is C
Answer:
Option C
Step-by-step explanation:
Given:
[tex]y = 2[/tex]
[tex]z = \dfrac{3}{4}[/tex]
Substitute the values into the expression:
⇒ y(1/2 + z) + 6
⇒ 2(1/2 + 3/4) + 6
Make common denominators in the parenthesis:
⇒ 2(1/2 + 3/4) + 6
⇒ 2(2/4 + 3/4) + 6
Simplifying the expression:
⇒ 2(5/4) + 6
⇒ 2 × 5/4 + 6
**Keep in mind that multiplication first, then addtion
⇒ 10/4 + 6
Make common denominators:
⇒ 10/4 + 24/4
⇒ 34/4
Simplify the fraction:
⇒ 17/2 (Option C)
Can someone help I will mark u brilliant
Answer:
50
Step-by-step explanation:
We are finding the surface area of a circle here. which is pie r ^2 ( the formula) so the radius is 4. So we do pie 4^2 which equals 50.26548246 which is approximately 50.
Answer:
First, we must know the formula for the area of a circle.
The formula for the area of a circle is;
A = π[tex]r^{2}[/tex]Where 'π' is pi(22/7 or 3.14), and 'r' is the radius which is being squared.
Plug in what you know;R(radius) = 4 feet.
So,
A = π[tex]r^{2}[/tex]
Will be;
A = π(4^2) ← what I mean by " ^ ", I mean "to the power of".
Simplify:-
A = 3.14(16)
A = 50.24 feet is the area.
PLEASE HELP!! WILL GIVE BRANLIEST
100 points please help me
I need it
Answer:
[tex]x=20\\\\m\angle B = 92^{\circ}\\\\m\angle C = 40^{\circ}[/tex]
Step by step explanation:
[tex]~~~m\angle A +m\anglee B + m\angle C =180^{\circ}\\\\\implies 48+6x-28+2x = 180\\\\\implies 8x +20 = 180\\\\\implies 8x = 180 -20 = 160\\\\\implies x = \dfrac{160}8=20\\\\\\m\angle B = (6x -28)^{\circ} = (6\cdot 20 -28)^{\circ}=92^{\circ}\\\\m\angle C = (2x)^{\circ} = (2\cdot 20)^{\circ}=40^{\circ}[/tex]
Slope Equations
What is the equation of the line that passes through the point (0,-4) and has a slope of 5?
y = 5x – 4
y= - 4x – 5
y= -5x +4
y=2x - 4
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when x=0)Solving the QuestionWe're given:
m = 5The line passes through the point (0,-4)Because the slope of the line is 5, we know that the m value in y=mx+b has to be 5. This rules out all the options except for the first, which is the only equation in which the m vaue is 5.
On top of that, we know that the y-intercept occurs when x=0. Given that the line passes through the point (0,-4), we know that the y-intercept is -4.
The equation in the first option tells us this as well, as it has -4 as the b value in y=mx+b.
Answery = 5x - 4
I dont know how to answer this
Answer:
sorry the image isnt clear
Answer:
Can you post it again but clearer
Suppose you roll a die 5 times. What is the probability of getting at least one odd number ?
Answer: 1/2 or 50%
Step-by-step explanation:
A dice has 6 numbers; 1,2,3,4,5,6
3 of which are odd numbers
which means:
p(event)= number of favorable outcomes/ number of possible outcomes
p(odd)=3/6
3/6=1/2 or 50%
what is the value of the expression m+(7•9)/n when m = 2.5 and n= 5
A.) 13/5
B.) 13/10
C.) 15/11
D.) 15/17
29 BRAINLY POINTS PLUS USER!!!!
Answer:
13/5
Step-by-step explanation:
Given:
m = 12n = 3/5Substitute the values into the expression:
⇒ 1/2(m ÷ 3) + n
⇒ 1/2(12 ÷ 3) + 3/5
Simplify the expression:
⇒ 1/2(12 ÷ 3) + 3/5
⇒ 1/2(4) + 3/5
⇒ 1/2 x 4 + 3/5
⇒ 2 + 3/5
Make common denominators:
⇒ 2 + 3/5
⇒ (2 x 5/1 x 5) + 3/5
⇒ 10/5 + 3/5
Simplify by adding:
⇒ 13/5
20. A centimeter is 1/100t of a meter, while a kilo-
meter is equal to 1000 meters?
a. True
b. False
Answer:
I think it true?
I is correct?
my brainlist answer please. <:(
What is the estimated temperature if the dissolved salt is 98g?
54
61
161
171
Ths solubility curve is used to show the amount of salt dissolved (solubility).
What is the solubility curve?The solubility curve is a depiction of the solubility of a substance plotted against its temperature. It can be used most times to show the solubility of a susbtance at different temperatures. This question is incomplete hence so we can not be able to obtain the solubility of the salt at this temperature.
If the solubility curve has been shown in the graph, then we can be able to obtain the solubility of the salt from the data shown on the plot.
Learn more about solubility curve: brainly.com/question/9537462
A guy wire runs from the top of a cell tower to a metal stake in the ground. Joseph places a 8-foot tall pole to support the guy wire. After placing the pole, Joseph measures the distance from the stake to the pole to be 8 ft. He then measures the distance from the pole to the tower to be 25 ft. Find the length of the guy wire, to the nearest foot.
HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME HELP ME
Answer:
See below ↓↓
Step-by-step explanation:
1. c║d
3. a║b
5. c║d
7. a║b
2. CACP
4. AICP
6. CACP
8. SSIASP
Answer:
a) c ║ d CACP
b) a ║ b AICP
c) c ║ d CACP
d) a ║ b SSIASP
Step-by-step explanation:
CACP - Corresponding Angles Congruent postulate
When two parallel lines are cut by a transversal, the pairs of corresponding angles (in the same relative position on different intersections) are congruent.
AICP - Alternate Angles Congruent postulate
When two parallel lines are cut by a transversal, the resulting alternate interior angles (opposite sides of the transversal line) are congruent .
SSIAS - Same Side Interior Angles Supplementary theorem
When two parallel lines are cut by a transversal, the resulting pairs of consecutive interior angles formed are supplementary (sum to 180°).
a) c ║ d CACP
The tranversal is line b
b) a ║ b AICP
The tranversal is line d
c) c ║ d CACP
The tranversal is line a
d) a ║ b SSIASP
The tranversal is line c
which one is a vertical line through the point (3;5)
A vertical line going through any given point would pass through the x-coordinate.
In this case, the x-coordinate is 3. Therefore, the vertical line that would pass through the point (3, 5) is x = 3.
Hope this helps!
Solve:........................
[tex] \frac{x}{3} + 4 = \frac{4x - 1}{5} [/tex]
Answer:
[tex] \frac{x}{3} + 4 = \frac{4x - 1}{5} \\ \\ \frac{x}{3} + \frac{12}{3} = \frac{4x - 1}{5} \\ \\ \frac{x + 12}{3} = \frac{4x - 1}{5} \\ \\ 3(4x - 1) = 5(x + 12) \\ \\ 12x - 3 = 5x + 60 \\ \\ 12x - 5x = 60 + 3 \\ \\ 7x = 63 \\ \\ x = \frac{63}{7} \\ \\ x = 9[/tex]
A tennis racquet bought for €95 was then sold for €132. Find the profit as a percentage of the cost
price.
Answer:
38.95%
Step-by-step explanation:
profit%= profit/cost price ×100
37/95×100
0.38×100
profit%=38.95
Suppose that a weight loss company advertises that people using its program lose an average of 8 pounds the first month, and that the Federal Trade Commission is gathering evidence to see if this advertising claim is inaccurate. Suppose that a 99% confidence interval for the average weight loss during the first month in the program, in pounds, is (7.92, 7.98), based on a large sample of patrons.
a. How strong is the statistical significance in the claim that on average people in fact lose less than 8 pounds?
Answer:
(a) Since the upper limit of the 99% confidence interval is less than
Step-by-step explanation:
We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
The null hypothesis is that the average weight loss during the first month is equal to 8 pounds, and the alternative hypothesis is that the average weight loss is less than 8 pounds.
Since the 99% confidence interval does not include the value of 8, we can reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.
Thus,
We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.
Learn more about hypothesis testing here:
https://brainly.com/question/30588452
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could i have super quick help before i'm out of time?
Answer:
Part (a)
Given quadratic: [tex]y=x^2+2x-8[/tex]
Factored form
To factor, find two numbers that multiply to -8 and sum to 2: 4 and -2
Rewrite the middle term of the quadratic as the sum of these number:
[tex]\implies y=x^2+4x-2x-8[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies y=x(x+4)-2(x+4)[/tex]
Factor out the common term [tex](x+4)[/tex]:
[tex]\implies y=(x-2)(x+4)[/tex]
Zeros
The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0
[tex]\implies y=0[/tex]
[tex]\implies (x-2)(x+4)=0[/tex]
[tex]\implies (x-2)=0\implies x=2[/tex]
[tex]\implies (x+4)=0\implies x=-4[/tex]
Therefore, the zeros are 2 and -4
Vertex
The x-coordinate of the vertex is the midpoint of the zeros.
[tex]\textsf{midpoint}=\dfrac{-4+2}{2}=-1[/tex]
To find the y-coordinate of the vertex, substitute the found value of x into the given equation:
[tex]y=(-1)^2+2(-1)-8=-9[/tex]
Therefore, the vertex is (1, -9)
------------------------------------------------------------------------------------------------
Part (b)
Given quadratic: [tex]y=-x^2-9x-14[/tex]
Factored form
To factor, first factor out -1:
[tex]y=-(x^2+9x+14)[/tex]
Now find two numbers that multiply to 14 and sum to 9: 7 and 2
Rewrite the middle term of the quadratic as the sum of these number:
[tex]y=-(x^2+2x+7x+14)[/tex]
Factorize the first two terms and the last two terms separately:
[tex]y=-(x(x+2)+7(x+2))[/tex]
Factor out the common term [tex](x+2)[/tex]:
[tex]y=-(x+7)(x+2)[/tex]
Zeros
The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0
[tex]\implies y=0[/tex]
[tex]\implies -(x+7)(x+2)=0[/tex]
[tex]\implies -(x+7)=0 \implies x=-7[/tex]
[tex]\implies (x+2)=0 \implies x=-2[/tex]
Therefore, the zeros are -7 and -2
Vertex
The x-coordinate of the vertex is the midpoint of the zeros.
[tex]\textsf{midpoint}=\dfrac{-7+(-2)}{2}=-4.5[/tex]
To find the y-coordinate of the vertex, substitute the found value of x into the given equation:
[tex]y=-(-4.5)^2-9(-4.5)-14=6.25[/tex]
Therefore, the vertex is (-4.5, 6.25)