Answers
Answer:
40
Step-by-step explanation
100-60=40
Related Questions
What is the coefficient in the following expression?
5a to the 2 power subtracted by 7
a)7
d)2
c)5
b)a
Answers
Answer:
c)5
Step-by-step explanation:
Coefficient is always the numerical value before the variable
I hope this helped and have a good rest of your day!
Which of the following statements is equivalent to P(z < −2.1)? P(z > –2.1) 1–P(z < 2.1) P(z < 2.1) 1–P(z > 2.1)
Answers
Answer:
B.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Two terms of an arithmetic sequence are $a_{12}=70$a12=70 and A sub 30 is equal to 124$a_{30}=124$a30=124 . Write an explicit rule for the n$n$n th term
Answers
Answer:
Tn = 34+3nStep-by-step explanation:
The formula for finding the nth term of an arithmetic sequence is expressed as shown;
[tex]Tn = a+(n-1)d[/tex]
a is the first term of the sequence
n is the number of terms
d is the common difference
If T₁₂ = 70 and T₃₀ = 124
T₁₂ = a+(12-1)d = 70
T₁₂ = a+11d = 70... (1)
Similarly;
T₃₀ = a + (30-1)d = 124
T₃₀ = a +29d = 124...(2)
Solving equation 1 and 2 simultaneously to get a and d.
Subtracting 2 from 1 we have;
29d - 11d = 124-70
18d = 54
d = 54/18
d = 3
Substituting d = 3 into equation 1 to get a we have;
a + 11(3) = 70
a + 33 = 70
a = 70-33
a = 37
The explicit rule for the nth term of the sequence can be gotten by substituting the value of a and d into the formula Tn = a+(n-1)d
Tn = 37+(n-1)*3
Tn = 37+3n-3
Tn = 34+3n
If a 30-foot ladder leaning against a building makes a 62° with the ground. How many feet from the base of the building is the bottom of the ladder? Assume you hired an excellent contractor, and your building's wall is perpendicular to the ground. Round to the nearest tenth of a foot.
Answers
Answer: 14.1 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the trigonometric functions.
cos α = adjacent side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the adjacent side (x) is the distance from the base of the building to the bottom of the ladder
Replacing with the values given:
cos 62 = x/ 30
Solving for x
cos62 (30) =x
x= 14.1 feet
Feel free to ask for more if needed or if you did not understand something.
What is 0.83¯¯¯¯ expressed as a fraction in simplest form?
Enter your answer in the box.
Answers
Answer: 5/6
Step-by-step explanation:
Answer:
the answer is
100÷83
Step-by-step explanation:
hope this helps
What is 9.9581 rounded to the nearest thousandth?
Answers
Answer:
9.958
Step-by-step explanation:
The thousandths spot is where the 8 is so you round 8 with the number behind it 1. Since 1 is below 5, you keep 8 the same and get rid of the 1.
Answer:
9.958
Step-by-step explanation:
find the number in the thousands place, 8 and then look 1 place to the right for the rounding digit 1. Round up if this number is greater than or equal to 5 and round down if it is less then 5.
winnie and kevin like to create their own triathlon courses to challenge each other. last weekend, winnie created a course that included a swim of 5/4 kilometers , a bike ride of 95/4 kilometers and a run of 21/4 kilometers. how long was the course winnie created?
Answers
Answer:
121/4
Step-by-step explanation:
no need
Length of the track = 121/4 kilometers
What is length?Length is used to measure the distance between two points. Length is the longest dimension of a figure and it shows how long the given object or figure is. It is expressed in linear units like meters, centimeters, inches, and so on.
Given,
swimming course length = 5/4 kilometers
Bike track length = 95/4 kilometers
Running track length = 21/4 kilometers
Total length of the course = 5/4 + 95/4 + 21/4
= (5 + 95 + 21)/4
= (100 + 21)/4
= 121/4 kilometers
Hence, 121/4 kilometers is the length of the course.
Learn more about length here:
https://brainly.com/question/22059747
#SPJ2
2x+26+(5-3x)..........................................
Answers
Suppose that the mean time that visitors stay at a museum is 94.2 minutes with a standard deviation of 15.5 minutes. The standard error of the mean,ox, is 3.1. A random sample of 25 of the times chosen. What interval captures 68% of the means for random samples of 25 scores?
Answers
Answer:
[tex] 94.2 -0.994*3.1 = 91.1186[/tex]
[tex] 94.2 +0.994*3.1 = 97.2814[/tex]
And the 68% confidence interval is given by (91.1186, 97.2814)
Step-by-step explanation:
For this case we know that mean time that visitors stay at a museum is given by:
[tex] \bar X = 94.2 [/tex]
The standard deviation is given by:
[tex] s= 15.5[/tex]
And the standard error is given by:
[tex] SE = \frac{s}{\sqrt{n}} =3.1 [/tex]
And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:
[tex] z_{\alpha/2}= \pm 0.994[/tex]
We can find the interval like this:
[tex] \bar X \pm ME[/tex]
And replacing we got:
[tex] 94.2 -0.994*3.1 = 91.1186[/tex]
[tex] 94.2 +0.994*3.1 = 97.2814[/tex]
And the 68% confidence interval is given by (91.1186, 97.2814)
Find the sum of 1
5
and 7
10
The expression written in equivalent form with common denominators is .
The sum is
Answers
Answer:
2/10 + 7/10
9/10
Step-by-step explanation:
I did the test.
Answer:
The expression written in equivalent form with common denominators is
✔ 2/10 + 7/10
The sum is
✔ 9/10
Step-by-step explanation:
Jamal decides he wants to shop around for the best price for purchasing an advertisement space in a newspaper. One of the companies he contacts charges $2.00 for each line in the advertisement and an initial fee. For the 3 lines he needs, the company will charge $14.00. Which equation best represents this scenario if y is the cost for an ad with x lines?
Answers
Answer:
Y = $2x + 8
Step-by-step explanation:
Variable cost per line = $2.00
For 3 lines, the Variable cost = $2 x 3 = $6
Total cost for 3 lines = $14.00
Fixed Charges = $14 - $6 = $8
Using the formula, total cost, Y = $2x + $8 = $14
Where x = number of lines needed.
Therefore, total cost, Y = ($2 x 3) + $8 = $14
What is the equation
Answers
Answer:
76
Step-by-step explanation:
-4x + 104 = -200
-4x = -304
4x = 304
x=76
I am thinking of two unique whole numbers
Their sum is 12
The larger number is even
Twice the smaller number less than the larger number equals 6
Answers
Answer:
10 and 2
Step-by-step explanation:
10+2=12
10 is even
2*2=4 10-4+6
Hope this helps ! :)
Three solid shapes, A, B and C are similar.
The surface area of shape A is 9cm^2
The surface area of shape B is 16cm^2
The ratio of the volume of shape B to the volume of shape C is 27 : 125
Work out the ratio of the height of shape A to the height of shape C.
Give your answer in its simplest form.
Answers
Answer:
A:C = 9:20
Step-by-step explanation:
The ratio of the surface area of similar solid is equal to the square of the ratio of their corresponding linear measures. If the ratio of their corresponding linear measures is a:b, the surface area ratio will be (a/b)². Therefore,
(A/B )² = 9/16
square root both sides
A/B = √9/√16
A/B = 3/4
A:B = 3:4
The ratio of volume of two similar solid is the ratio cube of their corresponding linear measures. Therefore,
(B/C)³ = 27/125
cube root both sides
B/C = 3/5
B:C = 3:5
To make the ratio equivalent
A:B:C = 9:12:20
A:C = 9:20
Suzie wants to buy a shirt that costs $30.00. She has $90.00. How many shirts can Suzie buy?
Answers
Answer:
3 shirts
Step-by-step explanation:
90 divided by 30 = 3
Therefore, with $90.00, Suzie can buy 3 shirts.
:)
Answer:
3 shirts
Step-by-step explanation:
$90/$30=3 shirts
X+2=5-1/2 X
what is x?
Answers
Answer:
Step-by-step explanation:
[tex]X + 2= 5-\frac{1}{2}X\\\\[/tex]
Add (1/2)x to both the sides
[tex]X+2+\frac{1}{2}X=5-\frac{1}{2}X+\frac{1}{2}X\\\\x+\frac{1}{2}X+2=5\\\\[/tex]
Subtract 2 from both the sides
[tex]X+\frac{1}{2}X+2-2=5-2\\\\X+\frac{1}{2}X=3\\\\\frac{3}{2}X=3\\\\X=3*\frac{2}{3}\\\\X=1*2\\[/tex]
X= 2
Find the 25th term for the sequence a1=5 and d=0.5
Answers
Answer:17
Step-by-step explanation:
We can tell from the question, that the problem is an arithmetic progression type because of presence of d=common difference.
The nth term of an arithmetic progression is given as
Tn=a1 +(n-1)d
putting the given vales we have
T₂₅=5 +(25-1)0.5
T₂₅=5 +(24)0.5
T₂₅=5 +12
T₂₅=17
The 25th term for this sequence is 17
See similar question here:https://brainly.com/question/14163007
(7i)(3i) help please
Answers
Answer:
-21i
Step-by-step explanation:
[tex]i^{2}[/tex] = -1
7*3=21
21 x -1 = -21
Answer:
-21
Step-by-step explanation:
If I have 21 cone shaped hats with a diameter of 16in and height of 9in. How much paper do I need to cover the hats?
Answers
Answer:
10584 inches of paper
Step-by-step explanation:
to find the surface area of a cone the formula you use is A= πr(r+h2+r2) *you need to divide 16 by two to find the radius 16 is the diameter*
and this subsituted is π8(8+9(2)+8(2)) and this equals 504 inches and you then multiply by 21 to get enough paper to cover all 21 cones and that equals 10584 inches
What is a set of ordered pairs
Answers
Answer:
A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.
Step-by-step explanation:
60. Express - 78 in the form bi where b is a real number.
TIME SENSITIVE‼️‼️‼️
Answers
Answer:
c
Step-by-step explanation:
6 x 10 to the power of -2 is how many times as large as 2 x 10 to the power of -8. PLEASE RESPOND QUICK
Answers
Answer:
False
Step-by-step explanation:
The left side 0.06 does not equal to the right side 0, which means that the given statement is false.
The sum of the two shorter sides of a triangle must be equal to the longest side to be classified as a triangle
Answers
Answer:
False
Step-by-step explanation:
For example if you follow the pythagoras theorem a triangle has sides of 3,4 and 5
but when you add 3 and 4 they do not give you 5
so that is false
Nadia has a box of quarters and dimes on her dresser. There are 5 times as many
quarters as dimes in the box. The total number of quarters and dimes is 96. How
many of each coin is in the box?
Answers
Answer:
480= 96x5
Step-by-step explanation:
multiply on a caluculater
Find the exact length of the third side.
4
2
Answers
Answer:
Step-by-step explanation:
4-2<x<4+2
2<x<6
x = 3, 4 or 5
i assume u r talking about triangle
Angela works 18 hours a week for 12 weeks in the summer at the local swimming pool as a life guard. she earns $13 per hour. her employer takes 15 percent out of her check for federal income tax withholding and 6.2 percent for social security and 1.45 percent for medicare. she will receive 12 paychecks, one for each week she works. calculate angela’s weekly gross pay: calculate the amount taken out of angela’s check for federal income tax withholding: calculate the amount taken out of angela’s check for social security taxes: calculate the amount taken out of angela’s check for medicare taxes: calculate angela’s net paycheck using the calculations above: calculate angela’s total gross pay for all 12 weeks: calculate angela’s total net pay for all 12 weeks:
Answers
Answer:
Gross pay per week = $234
Federal income tax = $421.2
Social security = $174.96
Medicare =$40.71
net pay per week = $181
Total gross pay = $2,808
Total net pay = $2172
Step-by-step explanation:
Hi, to answer this question, first, we have to calculate Angela gross income per week:
18 hours per week x $13 per hour = $234 per week (gross)
234 x 12 =2,808
Amount taken ; multiply weekly gross pay by each percentage discount in decimal form (divided by 100)
Federal income tax = 234 x (15/100) = $35.1 (in 12 weeks = 35.1 x 12 = $421.2)
Social security = 234 x (6.2/100)= $14.508 (in 12 weeks = 14.5 x 12 = $174.96)
Medicare = 234 x (1.45/100)=$3.393 (in 12 weeks = 3.39x 12 = $40.71)
Total amount taken (per week)= 35.1+14.508+3.393=$53.001
Net pay per week = 234-53 = $181
For the total gross pay we have to multiply the weekly gross pay by the number of weeks (12)
Total gross pay = 234 x 12 =$2,808
Total net pay = 181 x 12 = 181 per week x 12 = $2172
The drama club is showing a video of their recent play. The first showing begins at 4:35 p.M. The second showing is scheduled at 7:15 with a 1/2 hour break between the showing.
Answers
Answer:
an hour and ten minutes long.
Step-by-step explanation:
what is the difference 4 1/3 - (-2/3)
Answers
Answer:
5
Step-by-step explanation:
2 negatives always equal a positive.
We have to convert 4 1/3 into a improper fraction which is 13/3. Since we know 2 negatives equal a positive, we add both fractions. 13/3 + 2/3 ewuals 15/3 which equals 5.
Eliana is reading a 964-page book.She reads 20 pages per day in the book. If x represents the number of days Eliana has spent reading the book so far, which of the following equations can be used to find the number of pages remaining in the book for Elaina to read. A-y=20x+964 B-y=-20+964 C-y=964+20 D-y=-964+20
Answers
Answer:
the answer is a
Step-by-step explanation:
In what quadrant is the sine POSITIVE, and the cosine NEGATIVE?
Answers
Answer:
Second quadrant
Step-by-step explanation:
In the second QUADRANT sine is positive and cosine is negative.
Answer:
Look at attached graphic
sine if positive in Quadrants I and II
cosine is negative in Quadrants II and III
(in the graphic blue is positive red is negative)
Step-by-step explanation:
