Answer:
62 degrees
Step-by-step explanation:
Every triangle needs to have 180 degrees. Simply you have to add 60+58 which is 118 degrees. Then you subtract 180-118 which equals to 62 degrees.
What is the size of x when the opposite is 4.9 the hypotenuse is 7.2 i need to work out x which is where it meets with the hypotenuse and adjacent?
Answer:
Step-by-step explanation:
10
The radius of a spherical balloon increases from 7 cm to 14 cm as air is being pumped into it. Find the ratio of surface areas of the balloon in the two cases. *
On solving the provided question, we can say that the spherical balloon's initial radius is 7 cm.; the final radius is 14 cm. ratio = (7/14) ^2 = 1:4
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.
The spherical balloon's initial radius is 7 cm.
The final radius is 14 cm.
ratio =
(7/14) ^2 = 1:4
To know more about radius visit:
https://brainly.com/question/28946570
#SPJ4
Emily puts $100 in the bank and earns 4% interest per year.
How much interest will she earn in one year.
Answer:
$4
Step-by-step explanation:
100 x 0.04 but to make it easier you do
1 x 4 which is 4
Need help getting the answer to the question below.
Answer:
.0065
Step-by-step explanation:
You move the decimal backwards 3 times
Answer:
The answer is 0.0065
Step-by-step explanation:
Hope it will help you...
Barrett is ordering t-shirts for his school's student council. Company D charges a
$30 design fee plus $6.25 per t-shirt. Company E charges a $12 design fee plus $9.75
per t-shirt. Which inequality can be used to find x, the minimum number of t-shirts
that can be ordered so that the total cost with Company D is less than the total cost
with Company E?
A. 6.25x + 30 > 9.75x+12
C. 6.25 +30x > 9.75 + 12x
B. 6.25x + 30 < 9.75x+12
D. 6.25 + 30x < 9.75 + 12x
Answer:
A. 6.25x + 30 > 9.75x+12
Step-by-step explanation:
This is because we know from the problem that x is the minimum number of t-shirts. We also know Company D charges a 6.25 fee for each tee, while Company E charges a 9.75 fee per tee. Based on the information we know, we can choose the problem.
The null and alternate hypotheses are:
H0 : μd ≤ 0
H1 : μd > 0
The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a sample of four days last month.
Day
1 2 3 4
Day shift 10 12 15 18
Afternoon shift 8 9 13 17
At the 0. 050 significance level, can we conclude there are more defects produced on the day shift? Hint: For the calculations, assume the day shift as the first sample.
State the decision rule. (Round your answer to 2 decimal places. )
Compute the value of the test statistic. (Round your answer to 3 decimal places. )
What is the p-value?
Between 0. 005 and 0. 01
Between 0. 001 and 0. 005
Between 0. 01 and 0. 025
What is your decision regarding H0?
Reject H0
Do not reject H0
The decision regarding H0 is to reject it, and we can conclude that there are more defects produced on the day shift.
How to detemine value of the test statisticTo determine whether there are more defects produced on the day shift, we can conduct a one-tailed paired t-test based on the given null and alternative hypotheses:
H0: μd ≤ 0 (There are fewer or equal defects on the day shift)
H1: μd > 0 (There are more defects on the day shift)
Where μd represents the population mean difference between the day shift and afternoon shift.
We have the following sample information:
Day 1 2 3 4
Day shift 10 12 15 18
Afternoon shift 8 9 13 17
To perform the test, we need to calculate the differences between the day shift and afternoon shift for each day:
d = (Day shift) - (Afternoon shift)
d = 10-8, 12-9, 15-13, 18-17
d = 2, 3, 2, 1
Now, let's calculate the mean and standard deviation of the differences:
Mean (xbar d) = (2 + 3 + 2 + 1) / 4 = 2.00
Standard Deviation (s) = √[(∑(d - x bar d)^2) / (n-1)]
= √[\(( (2-2)^2 + (3-2)^2 + (2-2)^2 + (1-2)^2) / (4-1)\)]
= √[(0 + 1 + 0 + 1) / 3]
= √(2/3)
≈ 0.816
Next, we can calculate the test statistic t using the formula:
t = (x bar d - μd) / (s / √n)
For our case:
x bard = 2.00
μd (from the null hypothesis) = 0
s ≈ 0.816
n = 4
t = (2.00 - 0) / (0.816 / √4)
= 2.00 / (0.816 / 2)
≈ 4.90 (rounded to 3 decimal places)
To determine the p-value, we need to find the area under the t-distribution curve to the right of the test statistic (t = 4.90) with (n-1) degrees of freedom.
Using a t-table or statistical software, we find that the p-value is between 0.001 and 0.005.
Since the p-value (between 0.001 and 0.005) is less than the significance level of 0.050, we reject the null hypothesis (H0).
The decision rule is as follows: If the p-value is less than the significance level, we reject H0; otherwise, we do not reject H0.
Therefore, the decision regarding H0 is to reject it, and we can conclude that there are more defects produced on the day shift.
Learn more about alternative hypotheses at https://brainly.com/question/14016208
#SPJ1
In which situation would blinking be beneficial for a animal?
A. When preparing for a long winter
B. When in a really cold environment
C. When in a hot, humid environment
D. When caught in a desert sandstorm
Answer:
D
Step-by-step explanation:
So you can protect your eyes.
Answer: D. When caught in a desert sandstorm
\(\color{yellow}{}\)\(\color{yellow}{}\)\(\color{yellow}{}\)\(\color{yellow}{}\)\(\color{yellow}{}\)\(\color{yellow}{}\)
Can some help pleasee it is due tonight and it’s the only question I need,I also need to do ate by step if it’s not much to ask
Answer: -3/16
Step-by-step explanation:
When there is a negative exponent like x^-2 it equals 1/(x^2) the negative puts the number as a fraction so continuing...
-12(x^-2) (y^-2) can be rewritten as
-12 (1/x^2) (1/y^2) now we plug in x = -2 and y = 4
-12 (1/(-2^2) (1/(4^2)); -2^2 = 4 , 4^2 = 16
-12 (1/4) (1/16)
-3 (1/16)
= -3/16
100 POINTS!!! PLEASE HELP ME
Answer:
1) 118
2)83
3) 101
Step-by-step explanation:
Answer:
4)37
5)23
Step-by-step explanation:
4)-angles 1 and 2 are alternate so they are equal=> x+30=8x-19
7x=49
x=7
so angle 2=8*7-19=56-19=37
5)here angles 1 and 2 are also alternate so they are eqial as well
x+17=8x-25
7x=42
x=6
angle 2 =8*6-25=48-25=23
What quadrant is point C located in?
A. quadrant I
B. quadrant II
C. quadrant III
D. quadrant IV
Answer:
it’s in the first one
Step-by-step explanation:
so it’s quadrant I.
Answer:
its A. Quadrant 1
Step-by-step explanation:
I had a test on it :)
1) One baseball team won 20 games throughout their entire season. Of all their games, this
team won 62.5% of them. Given this, how many games in total did this baseball team play
Answer: 32 matches
Step-by-step explanation:
Let the games in total that the baseball team played be represented by x.
Based on the information given in the question, we can form an equation as:
62.5% × x = 20
62.5/100 × x = 20
0.625 × x = 20
0.625x = 20
x = 20/0.625
x = 32
The team played a total of 32 matches.
HELP I NEED HELP ASAP
The side length of a square is represented by the expression 10x-6 centimeters. The side length of the square is doubled and then reduced by 4 centimeters to create the side length of a new square. Which expression represents the area of the new square?
Answer:
D) 400x²-640x+256
Step-by-step explanation:
2(10x-6)-4=20x-16
(20x-16)(20x-16)=
400x²-640x+256
how many times is the letter f (any case) in the following? if fred is from a part of france, then of course fred's french is good.
The count of letter f (any case) in ' if fred is from a part of france, then of course fred's french is good', is 8.
A word, phrase, or sentence in which no letter of the alphabet appears more than once is known as a heterogram (from the prefix hetero-, meaning "different," and the suffix -gram, meaning "written"). The same idea has also been denoted by the phrases isogram and nonpattern word.
Language on Vacation: An Olio of Orthographical Oddities, written by Dmitri Borgmann in 1965, mentions the idea, however he refers to it as an isogram. Borgmann asserts that he "introduced" the term "isogram" in a 1985 essay. Although he uses the term "isogram" in the paper itself, he also offers the name "asogram" to prevent confusion with lines of constant value like contour lines.
Learn more about Letter problem:
https://brainly.com/question/27175717
#SPJ4
Consider the function below. (If an answer does not exist, enter DNE.)h(x) = 5x3 − 3x5(a) Find the interval of increase. (Enter your answer using interval notation.)(−1,0)∪(0,1)
The interval in which the function h(x) = 5x³ - 3x^5 is increasing is given as follows:
(−1,0)∪(0,1).
How to obtain the intervals in which the function is increasing?The function in this problem is defined as follows:
h(x) = 5x³ - 3x^5.
To obtain the intervals for increase of decrease, the critical points of the function need to be obtained, which are the values of x for which the derivative is of zero.
The derivative of the function in this problem is given as follows:
h'(x) = 15x² - 15x^4.
Hence the critical points of the function are given as follows:
15x² - 15x^4 = 0
15x²(1 - x²) = 0.
Hence:
15x² = 0 -> x = 0.1 - x² = 0 -> x² = 1 -> x = -1, x = 1.Then the signals of the derivative in each interval is given as follows:
x less than -1: negative, as (1 - x²) < 0.x between -1 and 0: positive, as (1 - x²) > 0.x between 0 and 1: positive, as (1 - x²) > 0.x greater than 1: negative, as (1 - x²) < 0.The function is increasing when the derivative is positive, hence the interval is given as follows:
(−1,0)∪(0,1).
More can be learned about the critical points of a function at https://brainly.com/question/14840002
#SPJ1
Someone plz help me :(
Answer:
B) 5 gallons
Step-by-step explanation:
4 quarts = 1 gallon
multiply each number by 5
20 quarters = 5 gallons
Answer:
5
Step-by-step explanation:
If there are 4 quarts in a gallon and you are given 20 quarts divide 20 by 4 and you get 5
On average, Susan downloads 60 songs per month. An online music vendor sells package prices for songs that can be downloaded onto personal digital devices. The graph below shows the package prices for the most popular promotions. Susan wants to know if she should buy her music from this company or pay a flat fee of $58.00 per month offered by another company. Which is the better buy? a. Find the constant of proportionality for this situation. b. Write an equation to represent the relationship. c. Use your equation to find the answer to Susan's question above. Justify your answer with mathematical evidence and a written explanation. Total Cost (in dollars)
Answer:
A) at (5, 4.5) diving the cost by the number of songs purchased gets you $0.9 per song which is your constant
B) y = x(.9) ; x= number of songs purchased & y= total cost
C) using the equation to find the cost of buying each separatly
60 (.9) = $54
$54 is less than $58, So Susan should buy the songs seperatly.
A) Constant of Proportionality for the given situation is;
Constant of Proportionality = $0.9
B) The equation to represent the relationship in the question is;
y = 0.9x
C) Cost of 60 songs individually = $54. Thus, Susan is advised to pay individually and not with flat fee.
A) To get the constant of proportionality, let us pick a point coordinate on the graph. Let's pick (20, 18). This means;
Number of songs purchased = 20
Total Cost of 20 songs = $18
Constant of proportionality would be the cost per song; k = 18/20 =
$0.9 per song
B) Since the y-axis represents Total Cost and the x-axis represents number of songs purchased, then we can develop the relationship;
y = kx
where k is constant of proportionality which we have seen to be $0.9.
Thus, the equation to represent the relationship is;
y = 0.9x
C) Using the equation above, since she downloads 60 songs a month, then the total cost for this would be;
Total cost = 60 x 0.9
Total cost = $54
This cost of $54 is less than flat fee of $58 offered by another company. Thus, i would advice Susan to pay for each song separately instead of the flat fee.
Read more at; https://brainly.com/question/17247082
Geometry question Need help with #10
Answer:
x = 6
Step-by-step explanation:
Line segment SU is a bisector of angle <TSV which means it divided the angle into two equal parts:
The measure of <TSV = 62 in this case the measure of <VSU = 62/2 = 31
we can write the following equation to find the value of x
5x + 1 = 31 subtract 1 from both sides
5x = 30 divide both sides by 5
x = 6
For a population with µ = 80 and σ = 10, what is the X value corresponding to z = –2.00?
The X value corresponding to z = -2.00 is 60. The X value corresponding to z = -2.00 is 60. This means that the observation with a z-score of -2.00 is 60 units below the population mean of 80.
To find the X value corresponding to z = -2.00, we can use the formula:
z = (X - µ) / σ
Substituting the given values, we get:
-2.00 = (X - 80) / 10
Solving for X, we get:
X = (-2.00 x 10) + 80
X = 60
The z-score measures the number of standard deviations an observation is from the mean. In this case, the given z-score of -2.00 indicates that the observation is 2 standard deviations below the mean.
To find the corresponding X value, we use the formula:
z = (X - µ) / σ
Where z is the standard normal distribution value, X is the corresponding raw score, µ is the mean of the population, and σ is the standard deviation of the population.
Substituting the given values, we get:
-2.00 = (X - 80) / 10
Solving for X, we get:
X = (-2.00 x 10) + 80
X = 60
To know more about population mean visit :-
https://brainly.com/question/30324262
#SPJ11
Nth term=5n+6
What is the sequence when the nth term = 5n+6
The sequence for the nth term = 5n+6 is: 11, 16, 21, 26, 31,...
How to find the the sequence when the nth term = 5n+6The sequence for the nth term = 5n+6 is:
n = 1, the nth term is 5(1)+6 = 11
n = 2, the nth term is 5(2)+6 = 16
n = 3, the nth term is 5(3)+6 = 21
n = 4, the nth term is 5(4)+6 = 26
n = 5, the nth term is 5(5)+6 = 31
and so on.
Therefore, the sequence for the nth term = 5n+6 is: 11, 16, 21, 26, 31,...
Learn more about sequence at https://brainly.com/question/30762797
#SPJ1
regular shapes are ____; irregular shapes are ____.
Regular shapes are geometric; irregular shapes are organic (option B).
Regular shapes are geometric because they have well-defined and consistent properties such as equal sides and angles. Examples of regular shapes include squares, circles, triangles, and hexagons.
Irregular shapes are organic because they do not have uniform properties and may exhibit variation in sides, angles, or curves. They are often found in nature and have a more freeform or natural appearance. Examples of irregular shapes include clouds, trees, rocks, and various biological organisms.
Therefore, regular shapes are associated with geometric characteristics, while irregular shapes are associated with organic characteristics. The correct option is B.
The complete question is:
Regular shapes are ____; irregular shapes are ____.
A. organic and biomorphic
B. geometric and organic
C. organic and geometric
D. biomorphic and two-dimensional
To know more about geometric:
https://brainly.com/question/29199001
#SPJ4
Stamps 380
Books 19 , 1 , 7 , 12
The number of stamps given for the books in question are :
1 book - 20 stamps 7 books - 140 stamps 12 books - 240 stamps How to find the number of stamps ?To find the number of stamps needed for 1 book, the formula is :
= Stamps needed for 19 books / Number of books
= 380 / 19
= 20 stamps
For 7 books :
= 7 books x 20 stamps per book
= 140 stamps
For 12 books :
= 12 books x 20 stamps per book
= 240 stamps
Find out more on number of stamps at https://brainly.com/question/28568295
#SPJ1
Drag each model to show whether it is less than, equal to, or greater than 1/2.
Answer:
2/3=More
1/4=less
7/8=more
2/6=less
2/4=equal
Step-by-step explanation:
Look at each model that shows each fraction and also look at the denominators and the numerators of each fraction.
#1
2/3=4/61/2=3/6Greater than 1/2
#2
1/41/2=2/4Less than 1/2
#3
7/81/2=4/8Greater than 1/2
#4
2/61/2=3/6Less than 1/2
#5
2/4=1/2Equal to 1/2
julie pays 6.72 for 3.2 pounds of ground beef to make hamburgers. What price per pound does she pay
Answer:
6.72/3.2=2.1
Step-by-step explanation:
Jenna works in an ice cream shop. When she starts her shift, the tub of chocolate ice cream is 23 full. When she finishes her shift 612 hours later, there is only 16 of the tub left. What was the average hourly change in tub fullness?
The average hourly change in tub fullness is ₋1/13.
Jenna she starts her shift, the tub of chocolate ice cream is 2/3 full.
After she finishes her shift 6 1/2 hours , there is only 1/6 of tub left.
the average hourly change in tub fullness = ?
subtract the initial quantity from the quantity left after 6 1/2 hours.
⇒ 2/3 ₋ 1/6
= 1/2
Divide the quantity by 6 1/2 hours.
time is represented in improper fraction, convert it into proper fraction.
6 1/2 = 12 ₊ 1/2
= 13/2
⇒ 1/2 ÷ 13/2
= 1/13
the statement says the quantity decreases,
so ₋1/13
therefore the average hourly change in tub fullness is ₋1/13
Learn more about fractions here:
brainly.com/question/11562149
#SPJ9
let n be a natural number such that GCF(n, 70)= 10, and LCM(n, 70)=210. Find N. (Hint: Do you remember that LCM(A,B) x GCF(A, B)= A x B?)
The natural number , n is 30
How to determine the value
Given;
GCF(n, 70) = 10
LCM(n, 70) = 210
We have that;
LCM(A,B) x GCF(A, B)= A x B
Then,
(n, 70) = n × 70 = 70n
10 × 210 = 2100
Equate the two expressions
70n = 2100
n = \(\frac{2100}{70}\)
n = \(30\)
Thus, the natural number , n is 30
Learn more about GCF and LCM here:
https://brainly.com/question/640517
#SPJ1
What are fractions between 1 and 1/2
Answer: 3/4, 5/8, 9/16, 31/32, etc.
Step-by-step explanation: Any fraction above the 1/2 ratio, but below the full number will work. (i.e. any number above 16 for 32nds, but below 32. So 17/32, 18/32, 19/32, etc.)
Slide me number question 13 someone pls
The value of n from the given expression is y = (x-2)/z
Subject of formulaThe subject of formula is a way of representing a variable in terms of other variables.
Given the expression
x-2/y = z
Cross multiply
x - 2 = yz
Divide both sides by z
(x-2)/z = yz/z
(x-2)/z = y
Swap
y = (x-2)/z
Hence the value of n from the given expression is y = (x-2)/z
Learn more on subject of formula here: https://brainly.com/question/21140562
#SPJ1
Answer :
\(\frac{( x - 2 )}{z} = y\)
Step-by-step explanation:
\(\frac{(x-2)}{y} =z\)
Use cross multiplication.
\(( x - 2 ) = yz\)
Now, to make y the subject divide both sides by z.
\(\frac{( x - 2 )}{z} = y\)
It costs $25 per day to rent a surfboard and $15 to rent a wetsuit.
Write an expression for the cost of renting the surfboard for y days.
Answer:
c = 25y
Step-by-step explanation:
c = cost
find the volume of the cylinder given below round your answer to the nearest tenth if necessary use the approximate value of \(\pi\) that is 3.14
the diameter of the cylinder is D = 10 in.
the radius is, R = D/2 = 10/2 = 5 in.
the height of the cylinder is, H = 6 in.
the formula for the volume is,
\(V=\pi R^2H\)put values,
\(V=\pi\times5^2\times6\)\(\begin{gathered} V=3.14\times25\times6 \\ V=471\text{ cubic inch} \end{gathered}\)thus, the answer is V = 471 cubic inches,
witch ones greater 52 4/9 or 211/4
Answer:
211/4 is bigger number cause if you look at it right 52 4/9 is smaller than 211/4