Answer:
3:9 ratio of squares to circles
Step-by-step explanation:
What is -9 as a fraction?
Answer:
\(-\frac{9}{1}\)
Step-by-step explanation:
Its just the same way as making positive 9
a fraction, but just add the negative sign.
Hope this helps :))
State any excluded values of a domain and identify the type of break in the graph at the value of x
f(x)=x+7/x-2
Answer:
The excluded value in the domain is x = 2 because the denominator of the rational function becomes zero at this value of x, which results in division by zero.
At x = 2, there is a vertical asymptote, which means that the graph of the function approaches positive or negative infinity as x approaches 2 from either side.
What is the solution to the equation below?
Answer:
X=4
Step-by-step explanation:
The solution is in the file
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
write 464000 in correct scientific notation
Answer:
The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.
To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.
So, we can write 464000 as:
4.64 x 10^5
Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.
Step-by-step explanation:
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The right triangle has a square adjacent to each of its sides. What is the area of the square on the
shortest side of the right triangle?
A = 169ft?
A = 144ft?
A
5 square feet
13 square feet
Answer:
what are you trying to find?
Graph the line y=-4x-3
the length of a rectangle is 6 feet longer than its width the perimeter is less than 48 feet write a mathematical expression for the width of the rectangle
A researcher was interested in the impact of listening to different types of music on learning. She designed an extensive maze for rats and after she taught rats how to get through the maze, she randomly assigned each rat to run the maze while (a) listening to classical music, (b) listening to heavy metal music, or (c) in a quiet room (i.e., no music). The researcher measured the amount of time it took each rat to get through the maze and the number of errors made.
a. Independent Variable ? _________________ What are the levels? ________________________________
b. Dependent Variable ? _____________________________
c. What might be an extraneous variable?: ___________________________________
d. Control group? _________________ Experimental Group(s)?____________________
a.) The independent variable is the different types of music
b.) The dependent variable is the impact of listening felt by the rats
c.)An extraneous variable is the length of the maze.
d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
What is an independent and dependent variables?An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.
A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.
For question a.)
The independent variable is the different types of music
For question b.)
The dependent variable is the impact of listening felt by the rats
For question c.)
An extraneous variable is the length of the maze.
For question d.)
The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
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You are overseeing a machine that seals 80 soda cans per minute. In one hour of time, how many soda cans will be sealed? _____ soda cans?
Answer: 4800
Step-by-step explanation: 80 x 60 = 4800
I need help on this equatio
By using trigonometric functions, the length of the side x is approximately equal to 7.22 units.
How to determine the length of a side in a right triangle
Trigonometric functions are relationships between two distinct sides of right triangles, either the two legs or one leg and one hypotenuse. There are two fundamental trigonometric functions (sine, cosine) and four derivate trigonometric functions (tangent, cotangent, secant, cosecant)
In accordance with the picture attached aside, we find a right triangle with a known hypotenuse and a known angle and the length of the side x must be found by using the corresponding trigonometric function.
Since the leg x is adjacent to the hypotenuse, then the cosine function is the most appropriate trigonometric function to this case:
cos θ = x / r, where r is the hypotenuse of the right triangle.
cos 53° = x / 12
x = 12 · cos 53°
x ≈ 7.222
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95% of what number is 114?
114 is 95% of 120
100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.
114 is 95 Percent of What Number?
Formula = Number x 100
Percent = 114 x 100
95 = 120
The following shows the steps to derive this formula and find out 95% of the number is 114.
Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.
114
95% = Y
100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
95Y = 114 x 100
95Y = 11400
Y = 11400
100 = 120
Jill Janzen's gross weekly pay is $298. Her earnings to date for the year total $14,900. What amount is deducted from her pay each week for Social Security, which is taxed at 6.2%?
Jill's annual earnings can be calculated by multiplying her weekly pay by the number of weeks in a year: $298/week x 52 weeks/year = $15,496/year. Her earnings to date are $14,900, so she has earned an additional $596 in the current week.
Social Security is taxed at 6.2%, so the amount deducted from her pay each week is 6.2% of her gross weekly pay. That's 0.062 x $298 = $18.48.
Two ordinary fair dice are thrown. The resulting score is found as follows.
• If the two dice show different numbers, the score is the smaller of the two numbers.
• If the two dice show equal numbers, the score is 0.
(i) Draw up the probability distribution table for the score.
The probability distribution table is shown below
How to determine the probability distribution tableFrom the question, we have the following parameters that can be used in our computation:
Dice = 2
This means that
Sample size = 6 * 6
Sample size = 36
So, the number of outcomes is 36
To determine the distribution table, we need to identify that the dice are distinct.
This means that (1, 2) and (2, 1) are not the same outcomes
We can create a probability distribution table for the score by listing all possible outcomes and their probabilities, and then determining the score for each outcome based on the rules given.
So, we have
Outcomes Probability
(1, 1) 1/36
(1, 2) 1/36
(1, 3) 1/36
(1, 4) 1/36
(1, 5) 1/36
(1, 6) 1/36
........
(6, 1) 1/36
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627 x 26
how do you solve this problem using standard algorithm
627 x 26 equals 16,302 when solved using the standard algorithm.
The steps below can be used to solve the multiplication issue 627 x 26 using the conventional algorithm:
627 and 26 should be written one above the other, with the larger number appearing above and the smaller number beneath.
Start by adding each digit of the top number to the ones digit of the bottom number (six). Write the answers below the line after multiplying 6 by 7 and then by 2.
1254 -- a 6 x 7 partial product
1254 -- a half 6 x 2 product
Repeat the process by moving the bottom number one position to the left after that. Multiply 2 by 7 and then by 2, and then write the results one space to the left of the line below the line.
1254 x 627
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HELP PLEASE I’m having troubles!!!
1. The velocity at time t , v(t) = (18t² + 3 ) m/s
2. The velocity at time t = 3 seconds = 165 m/s
3. The acceleration at time t, a(t) =( 36t )m/s²
4. The acceleration at time t = 3 seconds = 108 m/s²
What is instateanou velocity and acceleration?The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.
Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.
1. s(t) = 6t³ + 3t +9
to find the velocity at time t, we differentiate s(t)
= 18t² + 3
2. at t = 3s
= 18(3)² +3
= 165 m/s²
3. v(t) = 18t² + 3
to get the acceleration at time t, we differentiate v(t)
= 36t
4. when t = 3
a = 36 × 3
= 108 m/s²
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Simplify remove all perfect squares from inside the square root assume b is positive
Answer:
Step-by-step explanation:
You take items out of a square root if you have a pair of numbers or if you know the square root.
\(\sqrt{48b^{7} }\)=\(\sqrt{4*4*3*bbbbbbb}\)
So I know the \(\sqrt{4}\)=2 so i can take both out so outside the root will be 2*2 and inside the root will be 3
Now for the b's for every pair there are, you can take that out. There are 3 pairs of b's so b³ is outside and one b is left inside.
Answer:
4b³\(\sqrt{3b}\)
CAYMAN Sleep Couch PRICE Was R2-699 (including VAT) PRICE Now R1 999 (excluding VA Use information above to answer the questions that follow. 2.1 Show that the couch's original price excluding VAT was R2 346.96. 2.2 Show with calculation that a customer is expected to pay R2 299 incl nouding VAT when purchasing the couch at SALE price.
Given: cost of CAYMAN sleep couch with VAT is R2 699
cost without VAT is R1 999
What are the answers for 2.1 and 2.2 questions?2.1 To calculate the original price of the couch excluding VAT, we can use the following formula:
Price including VAT / 1 + (VAT rate / 100) = Price excluding VAT
In this case, the VAT rate is 15% (since it is included in the original price), so the formula is:
R2,699 / 1 + (15 / 100) = R2,346.96
2.2 To calculate the expected price of the couch including VAT at the sale price, we can use the following formula:
Price excluding VAT * (1 + (VAT rate / 100)) = Price including VAT
In this case, the VAT rate is still 15% and the sale price is R1,999 (excluding VAT), so the formula is:
R1,999 * (1 + (15 / 100)) = R2,299
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What’s the end behavior
Answer:
First choice
Step-by-step explanation:
Looking at the graph, as the line gets further to the right (positive x, also displayed as x-> infinity) the line continues downwards in the y (vertical) direction
Looking at the graph, as the line gets further to the left (negative x, also displayed as x-> -infinity) the line continues downwards in the y (vertical) direction
Thus, the end behavior is -infinity for both ends
Easter game idea's please!
my neighborhood always throws an Easter egg hunt but this year we wanted to spice things up and add some cool game with cool prizes and snacks! any ideas?? (dont worry we wear mask at the small neighborhood party's we have)
A sculptor is planning to make two triangular prisms out of steel. The sculptor will use for the bases of one prism and for the bases of the other prism. (a)Is triangle 1 similar to triangle 2?(b)Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? Show your work.
Answer:
To figure out if both triangles are similar, we will use the relation below
\(\begin{gathered} \frac{AB}{DE}=\frac{BC}{EF} \\ \frac{40}{48}=\frac{30}{36} \\ \frac{5}{6}=\frac{5}{6} \end{gathered}\)The two triangles both have the same scale factors as
\(=\frac{5}{6}\)The ratio of their corresponding sides are equal therefore,
Triangle 1 is similar to triangle 2,and the included angles are equal because they are both 90°, so by the SAS similarity theorem, the two triangles are similar.
b) Suppose the sculptor makes both prisms with the same height.
To determine the prism to have the great volume, we will first calculate the volume factor
\(\text{volume factor=(sacle factor)}^3\)By substituting the values, we will have
\(\begin{gathered} \text{volume factor=(sacle factor)}^3 \\ \text{volume factor=}=(\frac{5}{6})^3 \\ \text{volume factor=}\frac{125}{216} \end{gathered}\)Let the volume of the from triangle 1 be
Let the volume from triangle 2 be
Volume of the smaller prism will be
\(\begin{gathered} V_{\text{small}}=\frac{1}{2}\times40\times30\times h \\ V_{\text{small}}=600h \end{gathered}\)Volume of the larger prism will be
\(\begin{gathered} V_{\text{big}}=\frac{1}{2}\times48\times36\times h \\ V_{\text{big}}==864h \end{gathered}\)Hence,'
To determine the number of times the larger prism is bigger than the smaller prism, we will use the formula below
\(\begin{gathered} =\frac{864h}{600h} \\ =1.44 \end{gathered}\)Hence,
The volume of the prism from triangle 2 is 1.44 times greater than the volume from triangle 1
HELPEHELP
Morgan took a taxi from her house to the airport. The taxi company charged a pick- up fee of $1.80 plus $2.50 per mile. The total fare was $59.30, not including the tip. Which equation or tape diagram could be used to represent the context if x represents the number of miles in the taxi ride?
Answer:
The equation should be 2.5x+1.8=59.3
Step-by-step explanation:
First, subtract the 1.8 dollars from the 59.3. You will get 57.5. Divide it by 2.5 and you will get the number 21 as x.
Sharon has (6t-5) oranges. If she gives (2t+1) oranges to Harry, (t-3) oranges to Tom and twice as many to Tammy, how many oranges in terms of t, does she have left?
Answer:
Step-by-step explanation:
i did this in 10 seconds it might be wrong
(6t-5)-(2t+1)-(t-3)-2(t-3)
6t-5-2t-1-t+3-2t-6
t-9
select all the relationships that demonstrate a positive association between variables. (3 answers!) Group of answer choices Number of people in a grocery check-out line and how long you have to wait to check out Length of time you have walked and distance you have traveled Pounds of cherries you buy and amount of money you spend on cherries Speed of a train and the amount of time it takes for the train to get to its destination Outside temperature and cost to heat a home
Answer:
The following demonstrate a positive association between the variables:
O. Pounds of cherries you buy and amount of money you spend on cherries
O. Number of people in a grocery check-out line and how long you have to wait to check out
O. Speed of a train and the amount of time it takes for the train to get to its destination
Step-by-step explanation:
What is the value of Z?
The value of Z in the similar triangles is 6
Calculating the value of Z?From the question, we have the following parameters that can be used in our computation:
The triangle
Using the corresponding sides of similar triangles, we have
z/12 = (14 - z)/16
Cross multiply the equation
This gives
16z = 168 - 14z
So, we have
30z = 168
Divide
z = 5.6
Approximate
z = 6
Hence, the value of Z is 6
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How much larger is the volume of a triangular prism when you double the height of the prism?
9514 1404 393
Answer:
2 times
Step-by-step explanation:
Other things remaining the same, the volume of any prism is proportional to its height. If you double the height, it is like having two prisms of the same size. The volume doubles. The new volume is 2 times the original volume.
Find the slope of the line:
x - 5 = 0
Answer:
Undefined
Step-by-step explanation:
Add 5 to both sides to get the equation x=5. X=5 is a vertical line. The slope, or change in y / change in x would be undefined since the change in x is always zero. Anything divided by zero is undefined.
Which graph represents the solution set to the system of inequalities?
{ Y ≤ 1/4X-2
Y ≥ −54X+2
ANSWER Down Below
The graph of the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
Is in the image at the end.
Which is the graph of the system of inequalities?Here we have the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.
Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.
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convert this into a standard number
\(10^{6}\)
Answer:
1,000,000
Step-by-step explanation:
The attached place value chart shows the power of ten associated with each number place in a decimal number.
ApplicationYou have ...
1 × 10⁶ = 1,000,000
(Put the multiplier digit in the appropriate number place, and fill the remaining spaces with zeros. The digits 32,465 on the chart can be ignored.)
__
Additional comment
For powers of 10, the exponent (6 in this case) tells you the number of zeros to the right of the digit 1. That is, 10^6 is 1 followed by 6 zeros:
1,000,000
Raquel needs to rent a car while on vacation. The rental company charges $19.95, plus 19 cents for each mile driven. If Raquel only has $40 to spend on the car rental, what is the maximum number of miles she can drive?
__________ miles
Answer:
105
Step-by-step explanation:
$40 - $19.95 = $20.05
$20.05 divided by 0.19 (19¢) = 105.526316
Answer:
105 miles
Step-by-step explanation:
40-19.95= 20.05
20.05/.19= 105.5263157895
round down to 105 miles