Explanation:
\(\begin{gathered} \sqrt[]{x}\text{ > 13} \\ \text{Take the square of both sides} \\ x>13^2 \\ x\text{ > 169} \\ \text{ Since, x is greater than 169} \\ \text{Therefore, the possible solutions are 251, 28561, and 170} \end{gathered}\)Write a ratio to express the following statement for every four legs on cats on Main Street there is one tail
Answer:
For every 4 legs there is 1 tail:
4 legs : 1 tail
4 : 1
For every 1 tail there is 4 legs:
1 tail : 4 legs
1 : 4
How is finding -15 - (-6) similar to finding 15-6? How is it different?
1) The way both are similar is that they involve subtraction operation.
2) The way they are different is that they produce different answers.
How to solve basic order of operations?The basic order of operations in mathematics is called PEMDAS which denotes; parentheses, exponents, multiplication, division, addition, then subtraction.
The expressions are;
-15 - (-6) and 15 - 6
The way they are similar is that they both tell us that we are using the subtraction operation to subtract a number from another
The way they are different is that when the subtraction operation is multiplied by a subtraction operation it becomes addition and so -15 - (-6) becomes -15 + 6 which will give us a different result to 15 - 6.
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Dominic and Candice are both selling cookie dough for a fundraiser. Although Dominic has already sold 5 tubs, Candice hasn't sold any yet. If Dominic starts selling 6 tubs per day and Candice begins selling 7 tubs per day, they will eventually sell the same amount of cookie dough. How many tubs will each sell? How many days will that take?
Answer:
5 days, 35 tubs
Step-by-step explanation:
We can create an equation.
Let d be the number of days it will take.
Note that in all Dominic will have sold 6d + 5 tubs, and Candice 7d.
So, if 6d - 5 = 7d then d = 5.
So, it will take 5 days, and each will have sold 6 * 5 + 5 = 7 * 5 = 35 tubs of cookie dough.
Find the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4), N(1,2), O(4, y)
Answer:
y = 8
Step-by-step explanation:
Two triangles are said to be congruent if all the three sides and three angles of both triangles are equal.
The distance between two points on the coordinate plane is given as:
\(Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\)
In triangle ABC:
\(|AB|=\sqrt{(2-8)^2+(6-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|AC|=\sqrt{(5-8)^2+(0-4)^2}=5\\\\|BC|=\sqrt{(5-2)^2+(0-6)^2 }=\sqrt{45}\)
In triangle MNO:
\(|MN|=\sqrt{(1-7)^2+(2-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|MO|=\sqrt{(4-7)^2+(y-4)^2}\\\\|NO|=\sqrt{(4-1)^2+(y-2)^2 }\)
Since triangle ABC and triangle MNO are congruent, hence:
|AB| = |MN| = 2√10, |AC| = |MO| = 5, |BC| = |NO| = √45
\(|AC|=|MO|=5\\\\\sqrt{(4-7)^2+(y-4)^2}=5\\\\(4-7)^2+(y-4)^2=25\\\\9 +(y-4)^2=25\\\\(y-4)^2=16\\\\square\ root\ of\ both\ sides:\\\\y-4=4\\\\y=4+4\\\\y=8\)
Hence O = (4, 8)
Let f(x) = cos(x). Use Addition or Subtraction Formulas to show the following.
Answer:
First blank is cos(h)cos(x)
Second blank is sin(x)
Step-by-step explanation:
Look up the identity and apply it here
The value of this expression is 30.
7 X 4-2+8=2
If parentheses are put around 2 + 8, what is the value of the expression?
Answer:
x= - 1/7
Step-by-step explanation:
What is the area of the circle? *.
Answer:
19.63cm²
Step-by-step explanation:
1/4 x π x 5² = 19.63495cm²
= 19.63cm²
What is the range of the function y=3√√x+8 1x
Answer:
The range of the function is: -∞≤y≤∞.
Consider the provided function.
The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.
The range of a cubic root function is all real numbers.
Now consider the provided function.
The above function can be written as:
Taking cube on both sides.
The graph of the function is shown in figure 1:
For any value of x we can find different value of y.
Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is -∞≤y≤∞ .
Therefore, the range of the function is: -∞≤y≤∞ (A).
At $32 per hour, how much would a worker earn on a 2 1/2 hour job?
Answer:
$80
Step-by-step explanation:
Hello!
You simply multiply the number of hours by the amount of money earned per hour. So you multiply 2.5 by 32.
Multiply32 * 2.564 + 1680The worker would have earned $80.
Is 50
a perfect square?
Answer:
No
Step-by-step explanation:
There are no numbers that can multiply by itself to get 50
Example of some perfect square:
4, 9, 16, 25, 36, 49, 64, 81, etc.
331
x 29
What is the answer
Answer:
9599
Step-by-step explanation:
use technology.
Answer:
9595
Step-by-step explanation:
x = 331 x 29
= 9595
331
x 29
----------
9595
The distance to your cousin's house is 364 miles, and the distance to Atlanta is 572 miles. If it took 7
hours to drive to your cousin's house, how long would it take to drive to Atlanta?
Answer:
11 hours
Step-by-step explanation:
7 hours to drive to cousin (364 miles)
364/7 = 52 miles an hour.
572/52= 11
11 hours
Hope this helps!
Write the equation of a line that
passes through the point (0, 3)
with a slope of -3.
Answer:
y= -3x + 3
Step-by-step explanation:
the point given tells you the y-int
given that y=mx + b, you can plug in the values
y= -3x + 3
A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 198 lb and a standard deviation of 42 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3750lb. Complete parts​ (a) through​ (d) below.
a=Given that the water taxi was rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 ​passengers? the maximum mean weight is?
b=If the water taxi is filled with 25 randomly selected​ passengers, what is the probability that their mean weight exceeds the value from part​ (a)?he probability is?
c=If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with 20 randomly selected​ passengers, what is the probability that their mean weight exceeds 187.5 ​lb, which is the maximum mean weight that does not cause the total load to exceed 3750 ​lb? the probability is?
a) The maximum mean weight of the passengers is 187.5 lb.,b) The probability that the mean weight exceeds 187.5 lb is 0.0062.
The mean weight of each passenger is 198 lb and the standard deviation is 42 lb. The water taxi has a stated capacity of 25 passengers and a load limit of 3750 lb. The maximum mean weight of the passengers is 187.5 lb, which is determined by the load limit of 3750 lb divided by the stated capacity of 25 passengers. The probability that the mean weight exceeds 187.5 lb is 0.0062, which is calculated using the normal distribution table. If the capacity is revised to 20 passengers, the maximum mean weight is still 187.5 lb. The probability of the mean weight exceeding 187.5 lb is still 0.0062. The probability that an individual passenger exceeds the maximum load limit of 3750 lb is 0.0228, which is calculated using the normal distribution table.
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PLSSSSSSSS HELP I WILL GIVE BRAINLY!!!!!!! 20 POINTS!!!!! What are the actual dimensions of your room, measured to the nearest half foot? How many square lengths did you use to represent each of these dimensions?
Classwork Topic: Solve problems 25 May 2023 1. Jessica and Melissa shared 12 pieces of dried pears. Jessica ate = of the dried pears! Melissa ate . How Pieces did they eat in all? What fraction of the dried eat altogether? many pears did they 2. There were is children playing in the park. One third of the children went home. How many children stayed in the park?
Apologies, but your questions seem to have errors and incomplete information.
For the first question about Jessica and Melissa sharing 12 pieces of dried pears, it is unclear how much Jessica ate as the fraction is missing. Similarly, information about how many pears Melissa ate is also missing. To answer the question accurately, I need the missing information.
For the second question about the children playing in the park, you mentioned that one-third of the children returned home, but you didn't provide the total number of children initially in the park. Without that information, I cannot determine how many children stayed in the park.
Please provide complete and accurate information for a precise answer.
a number p multiplied by -2 is greater than or equal to -1/3. Write this word sentence as an inequality
\(-2p \geq -\frac{1}{3}\)
Write the equation of the line passing through the points (-7,8) and (7,2) The equation of the line is [ ]Can someone please help me!!!
Answer:
y = -3/7x + 5
Step-by-step explanation:
y2 - y1 / x2 - x1
2 - 8 / 7 - (-7)
-6/14
= -3/7
y = -3/7x + b
2 = -3/7(7) + b
2 = -3 + b
5 = b
Which survey question is unbiased?
O A. "Do you think we should allow them to cut down the trees and pave over the grass for the new playground?"
B. "Which do you prefer with a meal-water, or a syrupy sweet soft drink?"
C. "Should there be a school dress code?"
D. "Do you prefer bringing a healthy lunch to school or eating cafeteria food?"
Answer:
Should be a dress code i hope this helps god bless you all
Step-by-step explanation:
Multiplying a whole number by a proper fraction, results in a ___
product.
Please help fill In the blank I WILL GIVE 5 STARS PLEASEE
Multiplying a whole number by a proper fraction results in a product which is lesser than the whole number.
What are Proper Fractions?Proper fractions are fractions in which the value of the numerator is less than the value of the denominator.
For example, 1/4, 3/4, 3/8, are all proper fractions.
4/3, 5/2, are all improper fractions.
So, from the definition, it is clear that, proper fractions are all less than 1.
When a whole number is multiplied by 1, we get the number itself.
So logically, when we multiply an whole number with fractions less than 1, then the resulting number will always be less than the whole number.
For example, consider 3 × \(\frac{3}{4}\)
Multiplication of fraction is by multiplying numerators together and the denominators together.
3 × \(\frac{3}{4}\) = \(\frac{3}{1}\) × \(\frac{3}{4}\) = \(\frac{9}{4}\) = 2.25 < 3
Hence the multiplication of a whole number with a proper fraction is always less than the whole number.
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Identify the: a) class width, b) class midpoints, and c) class boundaries for the given frequency distribution. Ages of Best Actors Age % 26-35 30 36-45 35 46-55 25 56-65 4 66-75 3 76-85 3
Answer:
Kindly check table below :
Step-by-step explanation:
Given :
Ages of Best Actors Age %
26-35 30
36-45 35
46-55 25
56-65 4
66-75 3
76-85 3
The class width = difference between the intervals = (35 - 26) = 10
Class midpoint = (sum of interval) / 2 = (26 + 35) / 2 = 61 / 2 = 30.5
The class boundaries :
Lower - 0.5 = 26 - 0.5 = 25.5
Upper + 0.5 = 35 + 0.5 = 35.5
Ages _ F ___Class Bound.__ classW__midpoint
26-35 _ 30 _ 25.5-35.5 ____ 10 _____ 30.5
36-45 _ 35 _ 35.5-45.5 ____ 10 _____ 40.5
46-55 _ 25 _ 45.5-55.5 ____ 10 _____ 50.5
56-65 _ 4 __ 55.5-65.5 ____ 10 _____ 60.5
66-75 _ 3 __ 65.5-75.5 _____10 _____ 70.5
76-85 _ 3 __ 75.5-85.5 _____ 10 _____ 80.5
Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation:
PLEASE HELP FAST !!!!!
The distribution of pitches thrown in the
80 at-bats in a baseball game is as follows.
Pitches 1 2 3 4 5
Frequency 12 16 32 12 8
Find the relative frequency that the pitcher
will throw exactly 4 pitches in an at-bat.
?
Relative Frequency =
Do NOT simplify your answer.
The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
3/20.
How to calculate a relative frequency?A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.
The total number of at bats in this problem is given as follows:
80.
In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:
12/80 = 3/20.
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URGENT!!! Elementary school students were given a geometry assignment. They were to measure the area of several rectangles and to measure the diagonal of the rectangle as shown in the table.
The equation of the least-squares regression line is
ŷ = 3.6 + 0.113x, where ŷ is the diagonal and x is the area of the rectangle. Which shows the residual plot?
The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.
Please find attached the graph of the residual plot for the data created with MS Excel
What is a residual plot?A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.
The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158
The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;
Area (in²) \({}\) Residuals
x-value
5 \({}\) -1.0178
10 \({}\) -0.2718
24 \({}\) 0.605
46 \({}\) 0.7874
53 \({}\) 0.7018
78 \({}\) 0.0758
84 \({}\) -0.129
100 \({}\) -0.7538
The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option
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Which equation is true?
An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.
What is an exponent?In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.
This ultimately implies that, an exponent is represented by the following mathematical expression;
bⁿ
Where:
the variables b and n are numerical values (numbers) or an algebraic expression.n is referred to as a superscript or power.By applying the multiplication law of exponents for powers to each of the expressions, we have the following:
4 × n × n × n × n = 4n⁴
4 × n⁴ = 4n⁴
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Consider the circles shown. Circle A has a diameter of 6 centimeter. Circle B has a diameter of 25% greater than Circle A
Determine the circumference for Circle B. Use 3.14 for pi.
Answer:
23.5 cm
Step-by-step explanation:
Step one:
Given data
Circle A has a diameter of 6 centimeter
Circle B has a diameter of 25% greater than Circle A
Step two:
Let us find the diameter of circle B
25% of 5 is given as
=25/100*6
=0.25*6
=1.5 cm
Circle B
= 6+1.5
= 7.5 cm in diameter
radius= 7.5/2= 3.75cm
We know that
Circumference= 2πr
C= 2*3.142*3.75
C=23.5 cm
Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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i don't know how to do math lol
9514 1404 393
Answer:
(d) 9
Step-by-step explanation:
The relation you're supposed to apply here is ...
an exterior angle of a triangle is equal to the sum of the remote interior angles.
__
The exterior angle is 17x+7, and it is equal to the sum of the two marked angles inside the triangle.
17x +7 = 13x +3 +40
4x = 36 . . . . . . . . . . . . . subtract 13x+7 from both sides
x = 9 . . . . . . . . . divide both sides by 4
Use the gcf to factor the expression 40x+24y-56
Answer:
40x+24y-56=
8(5x+2y-7)
Step-by-step explanation:
Solve x^2+8x+22=0 by completing the square.
Answer: x = √-6 - 4
Step-by-step explanation:
x^2+8x+22=0
(x+4)^2 - 16 + 22 = 0
(x+4)^2 + 6 = 0
(x+4)^2 = -6
√(x+4)^2 = √-6
x = √-6 - 4
√6 = 2.449