Answer:
1024x^15
Step-by-step explanation:
First, we'll do 4 to the 5th power which results in 1024
Next, we'll multiply the exponents following the laws of exponents, so 3 times 5=15
This results in 1024x^15
Hope I helped :)
Answer:
[tex]1024 {x}^{15} [/tex]
Step-by-step explanation:
[tex](4 {x}^{3} ) ^{5} \\ {4}^{5} \times {x}^{3 \times 5} \\ 1024 {x}^{15} [/tex]
hope this helps you.
Have a nice day!
A = {5, 6, 7, 8, 9, 10} and B = {2, 3, 4, 5, 11, 12, 13}. What is A∪B? What is A∩B?
Step-by-step explanation:
A U B= {2,3,4,5,6,7,8,9,10,11,12,13}
A n B= {5}
Question 4 of 25 There are 6 brooms and 4 mops in a janitor's closet. What is the ratio of the number of brooms to the number of mops? 3/5
Answer:the ratio of brooms to mops is 3:2
Step-by-step explanation:
6:4 can be simplified to 3:2
Answer:
6:4
Step-by-step explanation:
also can be simplified 3:2
Open with Angles p and q are complementary, p is four times the size of q. What is the size of q ?
Answer:
p = 72
q = 18
Step-by-step explanation:
Complementary means they add to 90o
p + q = 90
p = 4*q
Substitute 4q for p
4q + q = 90 Combine
5q = 90 Divide by 5
5q/5 =90/5
q = 18
p = 4q
p = 4*18
p = 72
If A/B and C/D are rational expressions, then A/B ÷ C/D = (AC)/(B/D)
true or false
9514 1404 393
Answer:
False
Step-by-step explanation:
(A/B) ÷ (C/D) = (A/B) × (D/C) = AD/(BC) ≠ AC/(B/D)
someone knows thiss?
Pleaseeee help is for today
Answer:
4
Step-by-step explanation:
yes
Find the area of each sector. Omg please help due in 5 min!!
help me pleaseeeeeee
Answer:
C
Step-by-step explanation:
18 x 5.85 = 105.3
105.3 is closest to the estimate of $120
lim (x->0) ((x^3 - 2x) ln(1+sinx))/ ln(cos 3x)
Answer:
qijejejsllaoajvrjaoaq
if I choose two cards, one of the time, from a standard deck of cards, what’s my probability that I choose A red card, then without putting it back to a black card
Answer:
P(Red) = 26/52, P(Black) = 26/51
Step-by-step explanation:
There are 26 red cards and 26 black cards in a standard deck of 52 cards.
This means the probability of picking a red card from the deck is 26/52.
Now, since we are taking out the red card after drawing from the deck, we only have 51 cards. Therefore, the probability of picking a black card from the deck is 26/51.
if a student is selected at random, find the probability the student is a junior. round to the nearest whole percent! i’m not good at probability so an explaination would be appreciated!!!
Answer:
the answer is 40%.
Step-by-step explanation:
probability= total number of juniors all over total number.
that is , 8
20
2
5
rounding it the nearest whole percent is
2 × 100
5
40%.
The probability that the selected student is a junior is 27%.
What is the probability of an event?The probability of an event is the ratio of the number of outcomes favorable to the event to the total number of outcomes for the event. This represents the chance for the event to take place.
If A is the event, n is the number of outcomes favorable to the event and S is the total number of outcomes, then the probability of the event A is given as:
P(A) = n/S.
How do we solve the given question?We are given a two-way table showing the number of freshmen, sophomores, juniors, and seniors in the class with respect to their gender.
We are asked to find the probability of selecting a junior student while picking a random student from the class.
Let the event of selecting a junior student from the class be A.
Number of favorable outcomes to event A (n) = 2 + 6 = 8 (junior males + junior females)
Total number of outcomes (students in the class) (S) = 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30.
∴ The probability that the selected student is a junior is given by:
P(A) = n/S = 8/30
or, P(A) = (8/30)*100% = 26.67% = 27% (rounding to the nearest whole percent).
∴ The probability that the selected student is a junior is 27%.
Learn more about the probability of an event at
https://brainly.com/question/7965468
#SPJ2
If you know how to solve this, Please answer it. Thank You
Please show your work and the steps.
The first one to answer the question right, will get Brainlist!
I PROMISE!!!!!
Answer:
Step-by-step explanation:
Work done by Kayla in 1 hour = 1/15
Work done by Jennifer in 1 hour = 1/16
Work done by both Kayla and Jennifer = [tex]\frac{1}{15}+\frac{1}{16}[/tex]
[tex]= \frac{1*16}{15*16}+\frac{1*15}{16*15}\\\\=\frac{16}{240}+\frac{15}{240}\\\\=\frac{31}{240}\\[/tex]
Hours taken by both = 240/31 = 7 23/31 hours
Suppose you plan to go out for a picnic during spring break. You plan to bring sandwiches, fruits, and drinks. But you only have one picnic basket that can only hold a certain capacity. Each of the items has a value and a size, and you cannot hold all your items in the basket. The picnic basket can hold a total size of 17. Given that the size and the value of items are as follows, how many of each item should you bring to maximize the total value?
Size Value
Sandwich 9 6
Fruit 3 4
Drink 4 6
a) List and explain carefully what the decision variables are.
b) Write out the objective function.
c) Write out the constraints.
d) Write the linear program.
e) Solve the Linear Programming problem using excel. Show your results.
Answer:
e) z (max) = 24
x₁ = x₂ = 0 x₃ = 4
Step-by-step explanation:
a) The problem requires maximizing the total value from sandwich fruits and drink, therefore the objective function is associated to the sum of the values of each value.
We have three variables xi ( x₁, x₂, x₃ ) the values of sandwich, fruits and drink, and we have to maximize such quantities subject to the constraint of size (the capacity of the basket)
b) z = 6*x₁ + 4*x₂ + 6*x₃ Objective Function
Constraint :
basket capacity 17
9*x₁ + 3*x₂ + 4*x₃ ≤ 17
General constraints:
x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers
e) z (max) = 24
x₁ = x₂ = 0 x₃ = 4
NOTE: Without the information about fractional or decimal feasible solution we decided to use integers solution
you can play one game for free. Which game has a higher expected value:
a. a 0% chance of winning $1,000
b. a 10% chance of winning $50
c. a 100% chance of winning $1
d. a 25% chance of winning $100
In a class of 35 students 1/5
of total students like to play cricket, 2/5 of students like to play football, remaining students like to play volleyball
i) How many students like to play cricket
ii) How many students like to play football?
iii) How many students like to play volleyball?
if you answer correctly you wil get brainliest plus 10 points
if you give wrong answer your wrong answer will be reported
only people who know maths well can give correct answer.
Good luck
Answer:
7 play cricket
14 play football
21 play volleyball
Step-by-step explanation:
how do you find volume of sphere, cylinder, cone ? ... explaining please
Answer:
Step-by-step explanation:
The formula for the volume of a sphere is given by :
[tex]V_s=\dfrac{4}{3}\pi r^3[/tex]
Where
r is the radius of the sphere
The formula for the volume of a cylinder is given by :
[tex]V_c=\pi r^2 h[/tex]
Where
r and h is the radius and height of the cylinder
The formula for the volume of a cone is given by :
[tex]V_C=\dfrac{1}{3}\pi r^2 h[/tex]
Where
r and h is the radius and height of the cone
Find the distance between the two points. Round to the nearest tenth if necessary. (0, 7), (–12, –2)
Answer:
Distance = 15 units
Step-by-step explanation:
[tex]Let \ (x_1 , y_ 1 ) = ( 0 , 7 ) \ , \ (x _ 2 , y _ 2 ) \ = ( -12 , -2 ) \\\\Dsitance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1 )^2} \\\\[/tex]
[tex]= \sqrt{(-12 - 0)^2 + ( -2 - 7)^2} \\\\=\sqrt{12^2 + 9^2 }\\\\=\sqrt{144 + 8 1} \\\\= \sqrt {225 } \\\\= 15[/tex]
Answer:
( 12 , - 10 )
Step-by-step explanation:
Difference between the x points : 0 - ( - 12 ) = 12
Difference between the y points : - 12 - ( - 2 ) = -10
There fore the difference ( 12 , - 10 )
Hopefully this is what you mean
Have a nice day !
Evaluate 32 to the power of -2/5
Answer:
Step-by-step explanation:
32=-80*(-2/5) bấm máy là ok mà
Answer:
[tex] {32}^{ \frac{ 2}{ - 5} } [/tex]
note that it's not important if the minus sign is with the 2 or with the 5, it allows us to calculate
[tex] {32}^{2} [/tex]
first, and then take the 5th root from the solution
[tex] {1024}^{ \frac{1}{ - 5} } [/tex]
=
[tex] \sqrt[ - 5]{1024} = \frac{1}{4} [/tex]
I solved the last part with a virtual calculator, but double checked it (see screenshot)
A right triangle has side lengths d, e, and f as show below. Use these lengths to find Sin x, cos x, and tan x. (marking BRAINLEST)
Answer:
Sine of X = d/f
Cos of X = e/f
Tan of X = d/e
Step-by-step explanation:
In this case, the opposite is d, the adjacent is e and the hypotenuse is f.
sin is opposite/hypotenuse
cos is adjacent/hypotenuse
and
tan is opposite/adjacent
MT is a diameter of OE. Calculate the measure of ZMTH.
A. 17°
B. 34°
C. 68°
D. 146
NEED HELP please, check the picture
Answer:
A. 17°
Step-by-step explanation:
Recall: measure of an inscribed angle = ½(intercepted arc)
Inscribed angle = m<MTH
Intercepted arc = arc MH = 34°
Therefore,
m<MTH = ½(Arc MH)
Substitute
m<MTH = ½(34)
m<MTH = 17°
Which type of function is shown in the table below?
x f(x)
1 8
2 15
3 24
4 35
5 48
Answer:
2 15 sorry po kung mali
Step-by-step explanation:
Wala pong step by step
Pls write answer as soon as possible
Answer:
Step-by-step explanation:
11.-3(2x-8)=-12
-6x+24=-12
-6x=-12-24
x=-36/-6
x=6
12.4(6+2x)=0
24+8x=0
8x=0-24
x=-24/8
x=-3
13.3x+2x+6=-15
5x+6=-15
5x=-15-6
x=-21/5
14.4=-2(x+3)
4=-2x-6
4+6=-2x
10/-2=x
-5=x
15.27=46+2x-x
27=46+x
27-46=x
-19=x
Answer:
11. -6
12. -3
13. 4.2
14. -5
15. -19
Step-by-step explanation:
Check the pictures. Would take too long for me to type it all out.
Solve each of the following equations by the trial and error method : A) X- 7= -3 help some one now
Answer:
X - 7 = - 3
X = - 3 + 7
X = 4
the 7 turns positive because it was moved to the other side of the symbol "=" so we reverse the sign
- becomes +
and
+ becomes -
Malaria is a leading cause of infectious disease and death worldwide. It is also a popular example of a vector-borne disease that could be greatly affected by the influence of climate change. The scatterplot shows total precipitation (in mm) in select cities in West Africa on the x axis and the percent of people who tested positive for malaria in the select cities on the y axis in 2013. Precipitation is the __________ variable
Answer:
independent and explanatory
Step-by-step explanation:
In a study, an independent variable may be defined as the variable that does not affect the other variables in the study when it is changed. Thus a variable is said to be independent when it is not affected by the any other variable in the study.
Whereas, an explanatory variable can be manipulated or changed by the experimenter. It is the variable that is not independent for certain variables.
Thus in the context, the scatterplot showing the total precipitation and the percent of the people who tested positive for the malaria test. The precipitation from the graph is the independent as well as the explanatory variable.
Classify each triangle as right triangle or not right triangle
Answer:
Step-by-step explanation:
pythagoras theorem
a^2+b^2=c^2
21^2+20^2=29^2
441+400=841
841=841
since the sum of square of two smaller sides is equal to the square of longest side .The given triangle can form right angle.
Solve 5(11x - 2) = 155
Answer:
3
Step-by-step explanation:
5(11x-2) = 155
⇔ 55x - 10 = 155
⇔ 55x = 155 + 10
⇔ 55x = 165
⇔ x = [tex]\frac{165}{55}[/tex]
⇔ x = 3
Answer:
x=3
Step-by-step explanation:
5(11x - 2) = 155
Divide each side by 5
5/5(11x - 2) = 155/5
11x-2 = 31
Add 2 to each side
11x-2+2 = 31+2
11x=33
Divide by 11
11x/11 = 33/11
x=3
The mean salary at a local industrial plant is $26,500 with a standard deviation of $5000. The median salary is $27,200 and the 57th percentile is $30,400. Based on the given information, determine if the following statements are true or false.
a. Approximately 7% of the salaries are between $26,500 and $30,400.
b. The percentile rank of $25,400 is 50.
Answer:
a. False.
b. False.
Step-by-step explanation:
Statement a:
The median salary is $27,200 and the 57th percentile is $30,400.
Thus, 57-50 = 7% of the salaries are between $27,200 and $30,400, that is, not between $26,500 and $30,400, and thus, statement a is false.
b. The percentile rank of $25,400 is 50.
The median salary is $27,200, and thus, the percentile rank of $27,200 is 50, and the percentile rank of $25,400 is less than 50, and this statement is false.
the product of a number and five less than the number is 66 find the number
Answer:
the answer is 16.5 or when runner becomes 17.
Step-by-step explanation:
The product of a number and five
= the number is always replaced by a variable. and I used
[tex]x[/tex]
[tex]5 \times x[/tex]
less than the number is 66
=
[tex]5 \times x - x = 66[/tex]
[tex] = 5x - x = 66[/tex]
[tex]4x = 66[/tex]
you divide both sides by 4 since we want X to stand alone .
[tex] \frac{4x}{4} = \frac{66}{4} [/tex]
[tex]4 \: will \: cancel \: 4 \: and \: 66[/tex]
[tex]giving \: you \: 16.5 \: or \: when \: run \: becomes17[/tex]
The measure of angle NOP is 140
Which of the equations could be used to find the measure of angle NOQ?
Answer:
a) 23 + x = 140
Step-by-step explanation:
140 - 23 = 117
the angle x = 117°
Plsssss ans plssss plssss
Answer:
a 3² +4² = 25 the factors are 5²
b 8²+6²= 100 the factors are 5²and 2²
c 12²+5²= 169 the factors are 13²
d 8²+15²= 289 the factors are 17²