\(-8~~,~~\stackrel{-8+2}{-6}~~,~~\stackrel{-6+2}{-4}~~,~~\stackrel{-4+2}{-2}\qquad \begin{cases} a_1=-8\\ d = +2 \end{cases}\)
3. A pool has 25 inches of water in it when it begins to rain. The rain falls at 4 inches per hour
Write an equation for the height of the water h as a function of the hours rained, t
A) h = 4t - 25
B) h = 25t + 4
C) h = 4t + 25
D) h = 25t + 4
Answer:
The Answer is C.
Step-by-step explanation:
It's important to know how the standard form of an equation works.
Remember that y = mx + b, where y is the output value, m is the slope of the equation, and b is the y-intercept (the initial value) of the equation. We know that the pool starts with 25 inches of water in it, so the initial value, or y-intercept is 25, because the pool starts with 25 inches of water after 0 hours. We know that the pool fills up 4 inches per hour, meaning as each hour progresses, the equation will increase by 4. This is the slope. y has been replaced with h in this equation. So, your answer would be h = 4t + 25.
Is 18.18 rational or irrational
Answer:
Rational
Step-by-step explanation:
You are able to put 18.18 in a fraction.
Hope this helped, Have an AMAZING day/night!
A phone has 5/8 of its battery charge left. If the battery loses 3/8 of its full charhe every hour, how many hours will tbe battery last?
Answer:
0.25 Hours
Step-by-step explanation:
First subtract 5/8 by 3/8 your answer will then be 2/8 the divide 2/8 to make it into a decimal and your answer will be 0.25
Hope this solved your question
100 POINTS AND BRAINLIEST
Please solve the two problems on the image. I will for sure give BRAINLIEST to anyone with the right answer
In which of the following situations would using the Pythagorean theorem be helpful?
a contractor wanting to determine how high to build a staircase
a contractor wanting to determine if a corner is square
an architect wanting to determine how high a roof should be
an architect wanting to determine a stair railing height
Answer:
A
Step-by-step explanation:
Find the product and simplify completely. 1 5/8 2 /3/5 MH Enter the number that goes in the green box. Enter
The Product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.
To find the product and simplify completely, you need to perform multiplication and simplify the resulting fraction. Here, we are multiplying the following fractions and mixed numbers:1, 5/8, 2, and 3/5.The first step is to convert the mixed numbers into improper fractions.
We do that by multiplying the whole number by the denominator, and then adding the numerator.For 1 5/8, we get:$$1 \frac{5}{8} = \frac{8}{8} \times 1 + \frac{5}{8} = \frac{13}{8}$$For 2, we get:$$2 = \frac{2}{1} = 2 \times \frac{1}{1} = \frac{2}{1}$$For 3/5, we leave it as is since it's already a fraction.
Now that we have all the numbers as fractions, we can multiply them:$$\frac{13}{8} \times \frac{2}{1} \times \frac{3}{5} = \frac{13 \times 2 \times 3}{8 \times 1 \times 5} = \frac{78}{40}$$
To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:$$\frac{78}{40} = \frac{2 \times 39}{2 \times 20} = \frac{39}{20}$$
Therefore, the product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.
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PLEASE HURRY DUE TODAY WILL MARK BRAINLESTIS RIGHT
what is √29 Place a dot on the number line at the BEST approximation
Answer:
5.4
Step-by-step explanation:
square of 29 = 5.385164807
5.385164807 estimated is 5.4
Triangle PQR is a right triangle.
Triangle P Q R. Angle P is 90 degrees, angle Q is x degrees, angle R is 2 x degrees.
Which equation could be used to find the measure of Angle Q?
Answer:
90 + 2 = 92
180 - 92 = 88
Angle Q = 88
Step-by-step explanation:
All a triangles, angles should equal to 180.
Answer:
180 = 3 x + 90
Step-by-step explanation:
Hope it helps.Give me a brainliest please.
The table shows the hourly wages (in dollars) of employees after they have worked at a company for x years. Use the linear regression feature
on a graphing calculator to find an equation of the line of best fit for the data. Round each value in your equation to the nearest hundredth.
Then use your equation to estimate the hourly wage of an employee who has worked at the company for 12 years.
Years, x Hourly wage (dollars per hour), y
1
$8.75
5
$10.50
3
$9.25
7
$11.25
The line of best fit is y =
The aproxímate hourly wage of a person who has worked at the company for 12 years is $___ per hour
Answer:
y= 0.5x + 8.2
$13.6 per hour
Step-by-step explanation:
(Is it weird that I had the same exact question? Maybe not. But I also found another person with the same question as me. It was a different question though. This is probably too late. But I'm just gonna try to answer it for anyone who needs it.
"Linear regression" is just a fancy word for scatter plots. Scatter plots take place in graphs. The dots or plots are scattered and the way they are scattered means something. If it's going down, it's negative, up it's positive, and if it's scattered, it has no corrolation.
Also, you should have learned this in 9th grade. So, check your notes.
If you don't have it, WRITE IT!!!
To find it in your calculator:
1. Go to "Lists and Spreadsheets"
2. Rename the first column "x" and the second on "y"
3. Write all of your numbers in the right column
1, 5, 3, 7 under the "x"
8.67, 10.50, 9.58, 11.41 under the "y"
4. Move your cursor to an empty cell
4. Click: "MENU" #4 #1 #3
5. Rename the correct rows "x" and "y" and press enter
6. Now you can find "m" and "b"
7. Then move your cursor to an empty cell and click "doc" "insert" #7
8. Find the x-axis and find "x"
9. Find the y-axis and find "y"
10. Now press "MENU" #4 #6 #1
And you found your y=mx+b: y=0.5x+8.2
Now, how much money per hour.
So you've found your m and b but now you have to:
1. Replace y with 15 and solve it
15=0.5x+8.2
-8.2 -8.2
6.8=0.5x
Divide 0.5 on both sides
6.8/0.5=13.6
13.6=x
$13.6 per hour
a crate of mass 50kg is dragged by an engine along a horizontal floor through distance of 6m in 3s. calculate the power of the engine in watts.(g=10ms^-2)
Answer:
9000watts
Step-by-step explanation:
m=50kg
g=10
h=6
t=3
formula=work done×time
work done=m×g×h
Answer=m×g×h×t
50*10*6*3=9000watts
Answer:
1000W
Step-by-step explanation:
Sice,Power is the rate of work done to the time.
P=work done/time
work=force ×distance
P=50kg×10N/kg×6m
3s
P=500×6
3s
P=3000
3
P= 1000WPlease help! Like please.
The answer is letter H
By which rule are these triangles congruent?
A)AAS
B)ASA
C)SAS
D)SSS
In ΔPQN and ΔSQN,
PN = SN (Given)
PQ = SQ (Given)
QN = QN (Common)
∴ ΔPQN ≅ ΔSQN (By SSS Criteria)
Option D is the correct answer.
Please mark as Brainlliest.
The exchange rate between non-fixed currencies continuously fluctuates. The table below shows the exchange rate of the US dollar to the euro over the course of six days.
Day
$:€
Monday
1:0.7102
Tuesday
1:0.7544
Wednesday
1:0.7053
Thursday
1:0.6910
Friday
1:0.6869
Saturday
1:0.7273
Sandy has $829.04 to convert into euros. How many more euros would Sandy have if she made her trade on the day with the most favorable exchange rate than if she made her trade on the day with the least favorable exchange rate? Round all currencies to two decimal places.
a.
€33.49
b.
€55.96
c.
€67.04
d.
€107.99
55.96 more euros Sandy have if she made her trade on the day with the most favorable exchange rate than if she made her trade on the day with the least favorable exchange rate. Thus, option B is correct.
What is the exchange rate?The number of units of a foreign currency that can be purchased with one unit of the domestic currency, or the opposite, is referred to as the exchange rate between two currencies.
Here, we have
Given: The exchange rate between non-fixed currencies continuously fluctuates. Sandy has $829.04 to convert into euros.
We have to find how many more euros would Sandy have if she made her trade on the day with the most favorable exchange rate than if she made her trade on the day with the least favorable exchange rate.
To get a favorable exchange rate we should do:
USD × Exchange Rate
a) 829.04 × 0.7544 ⇒ Most favorable exchange rate (Tuesday)
= 625.42
b) 829.04 × 0.6869 × 0.94 ⇒ Least favorable exchange rate (Friday)
= 569.46
Difference of most favourable day and Least favorable day
= 625.42 - 569.46
= 55.96
Hence, 55.96 more euros Sandy have if she made her trade on the day with the most favorable exchange rate than if she made her trade on the day with the least favorable exchange rate. Thus, option B is correct.
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5. Mai attempted 40 free throws and was successful 25% of them. How many free throws did
she make?
Answer:
10 were successful
Step-by-step explanation:
40x25%=10
Answer:
10
Step-by-step explanation:
40*.25 = 10
Point K is on line segment JL. Given JL = 19 and KL = 12, determine the
length JK.
\(\underset{\leftarrow \qquad 19\qquad \to }{\stackrel{\blacktriangleright 7 \blacktriangleleft}{J\rule[0.35em]{5em}{0.25pt}K}\stackrel{12}{\rule[0.35em]{18em}{0.25pt}L}}\)
The value of the segment JK will be equal to 7 units.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics including distance, form, and size.
Given that, point K is a line segment JL. Given JL = 19 and KL = 12, the value of the segment JK will be calculated as below:-
JL = JK + KL
19 = JK + 12
JK = 19 - 12
Therefore, the value of segment JK will be equal to 7 units.
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answer. 6. Is it possible to form a triangle with the given side lengths? If not, explain why not. a. 9, 12, 18 b. 8, 9, 17 c. √2, √6, √27
option a 9,12,18.
condition for forming any Triangle is :
difference of 2 sides < 3rd side < sum of 2 sides
whichever option satisfy this condition is our answer.
among the given choices only option a satisfies this condition.
Hence our answer is option a.
What is a Triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.
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yes, it is possible to form a triangle with sides 9,12,18(option a).
How to find as if the side lengths are forming a triangle?The only condition for satisfying the sides of the triangle is that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
A.) 9,12,18
9+12 > 18, 12+18 > 9, 18+9>12.
the side lengths are satisfying the condition.
hence it is possible to form a triangle
B.) 8,9,17
8+9=17 i.e., 8+9 is not greater than third side.
hence it is not possible to form a triangle
C.) √2, √6, √27
√2 = 1.414, √6= 2.44, √27= 5.196
√2 + √6 is not greater than than √27.
hence it is not possible to form a triangle
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What is the best way to learn percentage?
Answer: To write a percentage as a decimal, simply divide it by 100. For example, 50% becomes 0.5, 20% becomes 0.2, 1% becomes 0.01 and so on. We can calculate percentages using this knowledge. 50% is the same as a half, so 50% of 10 is 5, because five is half of 10 (10 ÷ 2).
Step-by-step explanation:
What is the term-to-term rule for this sequence? 64, 32, 16, 8, 4
Answer:
Divide by two is the term-to-term rule.
Step-by-step explanation:
64/2=32
32/2=16
16/2=8
8/2=4
fill in the blank. Toward the end of a game of Scrabble, you hold the letters D, O, G, and Q. You can choose 3 of these 4 letters and arrange them in order in ______ different ways. (Give your answer as a whole number.)
Toward the end of a game of Scrabble, you hold the letters D, O, G, and Q. You can choose 3 of these 4 letters and arrange them in order in 24 different ways.
To solve this problem, we need to use the concept of permutations. A permutation is an arrangement of objects in a specific order. In this case, we need to find the number of permutations that can be made from the letters D, O, G, and Q when we choose 3 of these 4 letters.
The formula for finding the number of permutations is:
n! / (n-r)!
where n is the total number of objects and r is the number of objects we choose.
Using this formula, we can calculate the number of permutations as follows:
4! / (4-3)!
= 4! / 1!
= 4 x 3 x 2 x 1 / 1
= 24
Therefore, we can arrange the chosen 3 letters in 24 different ways.
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Solve the equation for x, where x is restricted to the given interval.
Step-by-step explanation:
\(y = 3 \csc( \frac{x}{5} ) \)
\( \frac{y}{3} = \csc( \frac{x}{5} ) \)
Multiply by 5 on both sides.
\(5 \times \frac{y}{3} = \csc(x) \)
Take the inverse of cosecant or arccsc of the function.
\(5 \: arccsc( \frac{y}{3}) = x\)
The trigonometric equation for x, where x is restricted to the given interval is x = 5 * arccsc(y/5)
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given
y = 3 CSC(x/5) for x in given domain
y/ 3 = CSC (x/5)
CSC(x/5) = y/3
x/5 = arccsc(y/3)
x = 5* arccsc(y/3)
Therefore, "x = 5 * arccsc(y/5)" is the trigonometric formula when x is limited to the specified range.
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musah stands at the center of a rectangular field . He first takes 50 steps north, then 25 step west and finally 50 steps on a bearing of 315°. How far west and how far north is Musah final point from the center?
Answer:
85.36 far north from the center
10.36 far east from the center
Step-by-step explanation:
The extra direction taken in the north side is x
X/sin(360-315)=50/sin 90
Sin 90= 1
X/sin 45= 50
X= sin45 *50
X= 0.7071*50
X= 35.355 steps
X= 35.36
Then the west direction traveled
West =√(50² - 35.355²)
West = √(2500-1249.6225)
West= √1250.3775
West= 35.36 steps
But this was taken in an opposite west direction
From the center
He is 35.36 +50
= 85.36 far north from the center
And
25-35.36=-10.36
10.36 far east from the center
How much tax would you pay on an item at 5% tax rate costing $75? (Round to the nearest cent)
Answer:
3.75
Step-by-step explanation:
Answer:
$3.75
Step-by-step explanation:
All you are going to do is multiply .05 or 5% by 75.
.05 * 75 = 3.75
(So now you are going to add 3.75 to $75 because the tax is 3.75)
75 + 3.75 = $78.75
(So you would pay $3.75 in tax)
Hope this helped!!
Explain in detail using words the step by step process that Maggie took to solve the problem 6.89 x 10^-4 / 7.5 x 10^-6 = .92 x 10^1
The steps in solving the given expression shows that the result is:
0.92 * 10²
How to use Laws of Exponents?The expression is given as:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
The steps that Maggie followed are:
Step 1: Rewrite the given expression:
6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹
Step 2: Divide the coefficients:
The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:
6.89 / 7.5 = 0.9186667.
Step 3: Divide the powers of 10:
This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²
Step 4: Combine the results:
This gives:
0.9186667 * 10²
Step 5: Simplify the coefficient:
She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.
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Using the information in the Box-and-Whisker plot shown, below what value is three quarters of the data?
A. 7
B. 10
C. 12
D. 17
Answer:
Step-by-step explanation:
A
Carmen knows that 1/4 = 0.25. Explain how she could use this fact to determine the decimal equivalent of 3/4.
Answer:
It is 0.75
Step-by-step explanation:
I know this because if you have 4 quarters and you break them up and then you have 4 quarters still but the count as one and then if you put three in a group you have 3 quarters out of four.
hope this helps
<3
Weverton Cliffs is a hiking trail in Maryland. This trail is 3 inches long on a map that has a scale of 7 ½ inches = 15 miles.
If Sarah hikes Weverton Cliffs from beginning to end and returns along the same trail, what is the total distance she hikes?
A. 3 miles
B. 6 miles
C. 12 miles
D. 18 miles
Answer: Is 6
Step-by-step explanation: Because 1 mile = 1/2. Is this helpful?
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
A
Step-by-step explanation:
(f-g)(x) means that the 2 functions are being subtracted.
\(3^{x}\) +10x -(5x-3) =\(3^{x}\) +10x-5x+3
simplify!
\(3^{x}\) +5x+3
the answer is A
Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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When converted to speeds, which list is in order from slowest to fastest?
17 miles in 2 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes;
60 miles in 8 minutes
17 miles in 2 minutes;
60 miles in 8 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes
33 miles in 6 minutes;
26 miles in 4 minutes;
60 miles in 8 minutes;
17 miles in 2 minutes
60 miles in 8 minutes;
33 miles in 6 minutes;
26 miles in 4 minutes;
17 miles in 2 minutes
is abc ~ Def explain
The two triangles are congruent since they have equal angles and equal sides.
What is congruent triangles?Congruent triangles are two triangles that have exactly the same size and shape.
In other words we can say that they have the same angles and the same side lengths.
So when two triangles are congruent, all of their corresponding parts including the angles and sides are equal.
For the given triangles
The missing value of angle C = 180 - (18 + 110) = 52⁰
The missing value of angle F = 180 - (18 + 52) = 110⁰
So it is obvious that the two triangles are congruent since they have equal angles and equal sides.
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