Answers
Answer: 42 degrees
Step-by-step explanation:
Related Questions
-6 + m = -23
I need work and answer
Will give the bainliest
Answers
Answer:
The answer for \(m\) :
\(m = -17\)
Step-by-step explanation:
Solve for \(m\) :
\(-6 + m = -23\)
Add both sides by 6:
\(-6 + 6 + m = -23 + 6\)
\(m = -17\)
So, the answer is \(x = -17\)
What is the equation of the line with a y-intercept of -10 and a slope of 7?
Answers
Answer:
do it got a picture
Step-by-step explanation:
y=mx+b
y=slope(x)+y-intercept
Find the distance between the points
Answers
Answer:
12 hope this help
Step-by-step explanation:
Prove that 3+2 root 3 is irrational
Answers
Answer:
Hi friend,
Let 3+2√3 is a rational number.
A rational number can be written in the form of p/q.
3+2√3=p/q
√3=p/2q-3
√3=p-6q/2q
p,q are integers then (p-6q)/2q is a rational number.
But this contradicts the fact that √3 is an irrational number.
So,our statement supposed is false.
Therefore,3+2√3 is an irrational number.
Step-by-step explanation:
Answer:
in the explanation
Step-by-step explanation:
The sqrt of 3 is irrational. Any rational number multiplied or divided with an irrational number is also irrational (2 root 3). It's the same for addition and subtraction, any rational number added or subtracted from an irrational number is also irrational (2 + root 2).
Hope this helps!
Find the area of a hexagon with an apothem of 15in(the height)
Answers
The area of the regular polygon with an apothem of 15 inches will be 2338.27 square inches.
What is the area of the regular polygon?Let 'a' be the apothem and 'b' be the regular side length.
Then the area of the regular polygon will be
A = 3 × a × b
We know that each angle of the regular hexagon is 60°.
Then the base length is given as,
b = 2a tan θ
b = 2 x 15 x tan 60°
b = 51.96 in
Then the area of the regular hexagon is given as,
A = 3 × a × b
A = 3 × 15 × 51.96
A = 2338.27 square inches
The area of the regular polygon with an apothem of 15 inches will be 2338.27 square inches.
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5. Twenty students in Mr. Martin's class each took a survey about the number of minutes they played outside. The box
plots represent the amount of time the students spent outside playing in the summer and in the winter. Which statement is
best supported by the data?
SUMMER WINTER
30
45
60
NUMBER OF MINUTES
75
90
A. The range of number of minutes outside is the same in the
summer and in the winter.
B. The median number of minutes outside in the summer is
equal to the maximum number of minutes outside in
the winter.
C. The interquartile range for the number of minutes outside is
the same in the summer and in the winter.
D. The minimum number of minutes outside in the summer is
the same as the first quartile in the winter.
Answers
The statement "The median number of minutes outside in the summer is equal to the maximum number of minutes outside in the winter" is best supported by the data (option B).
How to find the maximum number of minutes outside?Looking at the plot;
Winter: Minimum= 0 Maximum= 60 Median= 30
Range = 60 - 0 = 60
Summer: Minimum= 20 Maximum= 90 Median= 60
Range = 90 - 20 = 70
So the median number of minutes outside in the summer is
equal to the maximum number of minutes outside in the winter.
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Missing information:
The question is incomplete and the complete question is shown in the attached image.
Find the unknown side length x. Write your answer in simplest radical form
Answers
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 30² = 50²
x² + 900 = 2500 ( subtract 900 from both sides )
x² = 1600 ( take the square root of both sides )
x = \(\sqrt{1600}\) = 40 → B
I need help asap please!!
Answers
9•3=27
5-2=3
27/3=
9
5-2=3, so the answer is 3/3 which equals 1
The answer is 1
What is the area of the triangle?
48 in 2
28 in 2
96 in 2
24 in 2
Answers
Answer:
48 in^2
Step-by-step explanation:
To find the area of a triangle is (1/2)*base*height, so (1/2)*4in*24in = 2in*24in = 48 in^2.
Answer:
48 in2
Step-by-step explanation:
when finding area we use the equation A= 1/2bh
b meaning base and h meaning height
so for this we would use A= 1/2(24)(4)
multiply them both to get A=1/2(96)
and then take half of 96 to get 48
so the answer is 48in 2
a number multiplied by 6 and divided by five gives four more than a number
Answers
The expression represented by the statement is 6/5x = 4 + x
How to represent the mathematical statement as an expression?From the question, the mathematical statement is given as
a number multiplied by 6 and divided by five gives four more than a number
Let the number be represented with x
So, we have the following representation
x multiplied by 6 and divided by five gives four more than x
The statement "gives" means equal to
So, we have
x multiplied by 6 and divided by five = four more than x
Rewrite multiplied by as *
So, we have
x * 6 and divided by five = four more than x
Rewrite divided by as /
So, we have
x * 6/5 = four more than x
"more than" as used here means addition
So, we have
x * 6/5 = 4 + x
Lastly, we have
6/5x = 4 + x
Hence, the expression is 6/5x = 4 + x
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2/3x - 7 < 9
help please
Answers
Answer:
x<24
*the answer will be incorrect if you meant 2/(3x) instead of (2/3)x
Step-by-step explanation:
First, add 7 to both sides of the inequality to get "2/3x<16." Then multiply both sides by 3 to get "2x<48." Finally, divide both sides by 2 to get "x<24"
5. The Survey of Study Habits and Attitudes (SSHA) is a psychological test, administered to students, that measures attitude towards school. Scores range from 0 to 200. The mean score for U.S. college students is about 117, and the standard deviation is about 23. A teacher who suspects that older students have better attitudes toward school gives SSHA to 40 students who are at least 30 years of age. Their mean score is x¯ = 133.8.
(a) Assuming that σ = 23 for the population of older students, carry out a test of H0 : µ = 117 Ha : µ > 117 Give the Z test statistic and its P-value.
(b) What do you conclude about older students’ attitudes toward school?
(c) Your test in the previous parts requires assumptions in addition to the assumption that the value of σ is known. What are they?
Answers
The Z-test statistic is 2.61 and the P-value is 0.0046. Based on the results, it can be inferred that older students exhibit more positive attitudes towards school compared to the average U.S. college student. To conduct the test, certain assumptions are necessary in addition to assuming the known value of σ: the sample is randomly selected from the population, and the population follows a normal distribution.
(a) The null hypothesis is H0: µ = 117 and the alternative hypothesis is Ha: µ > 117, and we will test the null hypothesis using the Z test statistic.
The test statistic Z is calculated as:
Z = (x¯ - µ) / (σ / sqrt(n))
where x¯ is the sample mean, µ is the population mean, σ is the population standard deviation, and n is the sample size.
Substituting the values we get, Z = (133.8 - 117) / (23 / sqrt(40))Z = 2.61The P-value corresponding to Z = 2.61 is 0.0046 using a Z table.
(b) The P-value of the test is 0.0046, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that older students have better attitudes toward school than the average U.S. college student.
(c) The assumptions required for the test in addition to the assumption that the value of σ is known are:
The sample is a random sample from the population.
The population is normally distributed, or the sample size is large enough (n > 30) for the Central Limit Theorem to apply.
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Stephan owns a landscaping company. today, he is mowing three lawns: one is 1/4 of an acre, one is 1/2 of an acre, and one is 1 1/3 acres. how many acres of lawn is stephan going to mow today? simplify your answer and write it as a mixed fraction if necessary.
Answers
Answer: \(2\frac{1}{12}\) acre
Step-by-step explanation:
Total acres of lawn mowed by Stephen = \(\frac{1}{4}\) + \(\frac{1}{2}\) + \(1\frac{1}{3}\)
= \(\frac{1}{4}\) + \(\frac{1}{2}\) + \(\frac{4}{3}\)
LCM of 4, 2, and 3 is 12
= \(\frac{3+6+(4*4)}{12}\)
= \(\frac{25}{12}\)
= \(2\frac{1}{12}\)
There are (36)2 ⋅ 30 candies in a store. What is the total number of candies in the store?
3^3
3^4
3^8
3^12
Answers
36(2) * 30
36(2) = 72
72 * 30 = 2,160
3^3 = 3 * 3 * 3 = 9 * 3 ➡️ 27 ❌
3^4 = 3 * 3 * 3 * 3 = 9 * 9 ➡️ 81 ❌
3^8 = 6,561 ❌
3^12 = 531,441 (maybe)
Answer: Option D. 3^12 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
given the following method. what is the output when m1(5) is called? public int m1 (int a) { if (a == 1) return 10; else return 10 m1 (a – 1); }
Answers
The output when m1(5) is called will be 10. The recursive calls continue until the base case of a = 1 is reached, and at that point, the method returns the value of 10.
The method, m1, is a recursive method that takes an integer parameter 'a'.
When m1(5) is called:
1. The condition (a == 1) is false, so the method moves to the 'else' block.
2. It calls m1(a - 1), which means it calls m1(4).
3. The same process repeats with m1(4), m1(3), m1(2), and finally m1(1).
4. When m1(1) is called, the condition (a == 1) is true, so the method returns 10.
5. The return value of 10 is then propagated back through each recursive call.
Therefore, the output when m1(5) is called will be 10.
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a red blood cell is 7x10^-6m in diameter. there are about 2x10^-13 red blood cells in a 125-lb person. if all of the red blood cells were lined up end to end, how long would the line be? write your answer in scientific notation
Answers
Answer:
14 × 10^(-19) m
Step-by-step explanation:
We are told that the diameter of the red blood cell is 7 × 10^(-6) m
And that number of red blood cells in the person is; 2 × 10^(-13) red blood cells
Since they are held end to end, the length of the line would be;
7 × 10^(-6) × 2 × 10^(-13) = 14 × 10^(-19) m
For each question, use the following statements to write the compound statement anddetermine its truth value.P: Perpendicular lines intersect to form right angles.Q: All eagles are bald eagles.R: The capital of Texas is Houston.S: Congruent segments have equal length. Write the compound statement and determine its truth value: P^~SPerpendicular lines intersect to form right angles and congruent segments do not have equal length; truePerpendicular lines do not intersect to form right angles and congruent segments do not have equal length; falsePerpendicular lines do not intersect to form right angles and congruent segments do not have equal length; truePerpendicular lines intersect to form right angles and congruent segments do not have equal length: false
Answers
Answer:
(D)Perpendicular lines intersect to form right angles and congruent segments do not have equal length: false
Explanation:
\(\begin{gathered} \text{P: Perpendicular lines intersect to form right angles.} \\ \text{S: Congruent segments have equal length. } \\ \text{The negation of S } \\ \neg S\colon C\text{ongruent segments do not have equal length} \end{gathered}\)Therefore, the compound statement P^~S will be:
P^~S: Perpendicular lines intersect to form right angles and congruent segments do not have equal length.
Now, the negation of S is False, therefore: P^~S is False.
___________ would probably be distributed using an intensive strategy. A. iPods B. High-def television sets C. Men's suits D. Popular magazines
Answers
High-def television sets would probably be distributed using an intensive strategy. Therefore, option B. is correct.
Intensive distribution refers to a strategy where a product is made widely available through as many outlets as possible. This strategy is typically employed for products that have high demand, are low-cost, and require extensive market coverage. In the case of high-definition television sets, they are popular consumer electronics with a significant market demand.
To determine whether intensive distribution is suitable for high-def television sets, we consider the characteristics of the product. High-definition television sets are relatively low-cost compared to other options in the market, and they are in demand by a broad range of consumers. These factors suggest that an intensive distribution strategy would be appropriate for this product.
Based on the analysis, high-def television sets would most likely be distributed using an intensive strategy. This approach would ensure broad availability and accessibility for consumers, leveraging the product's popularity and fulfilling market demand. By making these television sets widely accessible through multiple outlets, manufacturers can reach a larger customer base, maximize sales potential, and effectively compete in the consumer electronics market.
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HELP HELP HELP HELP HELP HELP
Answers
Step-by-step explanation:
You can take the numerator as one factor and 1/denominator as another.
Just an example:
a(x + 2) and 1/(a(x - 1)), with a rational value of a ≠ 0.Let a = 1, then the following product will give what we have
(x + 2) × 1/(x - 1) = (x + 2)/(x - 1)What is the slope of the line shown?
Answers
Answer:
M=(-3)
Step-by-step explanation:
Take two points on the line
(5,1) and (2,2)
the equation to find M is y2-y1/x2-x1
2-5=(-3) 2-1=1
(-3)/1=(-3)
Hope this helps =3
Helpppppppppp meeeeeee pleaseeeeeeeee
Answers
Answer:
If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5
Answer:
49 and 51
Hope it helps
What is the value of x? Then determine the measure of each angle.
Answers
Answer:
x = 14° || each angle has 108°
explanation:
first we need to find the total interior angle of this shape:
formula: ( n - 2 ) * 180 ..............where n is the number of sides
( 5 -2 ) * 180
540°
if all sides in the shape are equal, they must have same angle of 9x -18
5 ( 9x -18 ) = 540°
9x -18° = 108°
9x = 108° + 18°
9x = 126°
x = 14°
So each angle has: 9x - 18
9(14) - 18
108°
puzzle 4 can you find the slope intercept equation of each line and type the correct code
Answers
Equation of line: y = -3/4 x + 3. Here , slope m = -3/4 and y intercept is 3.
Explain about the slope intercept equation?We need to knowing the slope of the line and indeed the intercept where the line crosses the y-axis in order to use the slope-intercept formula. Suppose a straight line with y-intercept b and slope m. For one straight line with slope "m" and y-intercept "b," the slope intercept program is designed is: y = mx + b.
Given coordinates are:
(2,3) and (4,0).
Slope m = (y2 - y1)/(x2 - x1)
m = (0 - 3)/(4 - 0)
m = -3/4
Equation of line:
y - y1 = m(x - x1)
y - 0 = -3/4(x - 4)
y = -3/4 x + 3
Here , slope m = -3/4 and y intercept is 3.
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Complete question:
Find the slope intercept equation of line passing through (2,3) and (4,0).
Christian randomly selects students from his grade to rate a math test as easy, moderate, or difficult. Of the students he surveyed, 13 said the test was easy, 11 rated it as moderate, and 3 found it difficult. Assuming that all students took the same test, how many of the 162 total students in Christian’s grade would probably rate the test something other than easy?
Answers
Answer:
84
Step-by-step explanation:
Total students he surveyed: 27
Amount that found it something OTHER than easy: 14 (11 moderate + 3 difficult)
This means that \(\frac{14}{27}\) found it something other than easy
Multiply that by 162 to find the proportion for the larger population:
162 * (14/27), and we get 84.
a certain species of deer Is to be introduced Into a forest Wildlife experts estimate The population will grow to P(t)= (988)3 1/2 where t where represents The number of years from the time of introduction.How long will it take for the population to reach 26676 deer according to this model?
Answers
Using exponential function it will take approximately 2.6 years for the population to reach 26676
Exponential FunctionExponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.
The formula given in this question is
P(t) = 988(3.5)ˣ
x = number of years from time of introductionThe time it will take to reach a population of 26676 is
26676 = 988(3.5)ˣ
x = 2.6 years
It will take approximately 2.6 years
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Point T is on line segment S U ‾ SU . Given S T = 2 ST=2 and T U = 15 , TU=15, determine the length S U ‾ . SU .
Answers
Answer:
17
Step-by-step explanation:
If Point T is on the line segment S U, then ST + TU = SU
Given;
ST=2
TU = 15
Substitte
SU = ST + TU
SU = 2 + 15
SU = 17
Hence the length of SU is 17
Which of the following sets represents continuous data?
O A. (2, 4, 6, ...)
OB. (9,15)
O C. (-12,-8,0, 1, 5)
OD. [2,14)
Answers
——————————-
Answer:
A
Step-by-step explanation:
Continuous data is a continuous scale that covers a range of values without gaps, interruptions, or jumps.
20points!!!!!
A rectangle measuring 5 cm by 3 cm
is scaled up to create an image with
side lengths of 7.5 cm and 4.5 cm.
How do the areas of the
two similar figures compare?
a) The area of the image is 1.5 times larger.
b) The area of the image is 2.25 times larger.
c) They have the same area because
they are similar figures.
d) none of the above
Answers
Answer:
The answer is b.
Step-by-step explanation:
Take the areas of the two rectangles by multiplying the numbers. Then divide the two numbers, in this case, 33.75 and 15.
Answer: b) The area of the image is 2.25 times larger.
Step-by-step explanation: !.5 larger in each direction results in 1.5×1.5 which is 2.25 enlargment.
4.5 × 7.5 =33.75 3×5= 15
33.75÷15 = 2.25
The cost price of an article is Rs 8888 and its loss is Rs 999. Find the selling price of that
article.
Answers
Answer:
Step-by-step explanation:
7889
Answer:
Cost price = Rs. 280
Other expenses = Rs. 20
Total Cost =280+20=300
Selling Price = Rs. 337.50
Profit =337.50−300=37.50
Profit %= 37.5/300*100=12.5%
×100=12.5%
Step-by-step explanation:
A factory produces chocolate and candy. In order to produce 100 kilograms of chocolate, the factory has to use machine A for 1 hour, machine B for 4 hours, and machine C for 2 hours. In order to produce 100 kilograms of candy, the factory has to usc machine A for 2 hours, machine B for 1 hour, and machine C for 1 hour. The factory will carn 600 pounds for each 100 kilograms of chocolate it produces and 400 pounds for cach 100 kilograms of candy it produces. Machincs A and B bclong to the factory and can be run for free 24 hours per day. However, machine C is rented from a different company and, while it can be run up to 24 hours a day, it costs 10 pounds per hour for running this machine. Write down an LP model to maximisc the factory profit per day. Explain what each of the variables in the LP formulation means.
Answers
Maximize Profit = 600C + 400D, subject to 24C + 2D ≤ 24, 4C + D ≤ 24, 2C + D ≤ 24, 10(2C + D) ≤ Budget, C ≥ 0, D ≥ 0.
To formulate the linear programming (LP) model, let's define the decision variables and objective function first.
Decision Variables:
Let's define the following decision variables:
- Let C represent the number of times the factory produces 100 kilograms of chocolate.
- Let D represent the number of times the factory produces 100 kilograms of candy.
Objective Function:
The objective is to maximize the profit per day. Since the profit depends on the quantities of chocolate and candy produced, the objective function is as follows:
Maximize: Profit = 600C + 400D
Constraints:
1. Machine A constraint: The available hours for machine A can be represented as 24C + 2D (as 1 hour is required for chocolate and 2 hours for candy for each production).
- Constraint 1: 24C + 2D ≤ 24 (as there are 24 hours available in a day).
2. Machine B constraint: The available hours for machine B can be represented as 4C + D (as 4 hours are required for chocolate and 1 hour for candy for each production).
- Constraint 2: 4C + D ≤ 24 (as there are 24 hours available in a day).
3. Machine C constraint: The available hours for machine C can be represented as 2C + D (as 2 hours are required for chocolate and 1 hour for candy for each production). Since machine C is rented and costs 10 pounds per hour, this cost needs to be considered.
- Constraint 3: 2C + D ≤ 24 (as there are 24 hours available in a day).
- Constraint 4: 10(2C + D) ≤ Budget (to ensure the cost of renting machine C is within the budget).
4. Non-negativity constraints: The number of times the factory produces chocolate and candy cannot be negative.
- Constraint 5: C ≥ 0
- Constraint 6: D ≥ 0
In summary, the LP model can be written as follows:
Maximize: Profit = 600C + 400D
Subject to:
1. 24C + 2D ≤ 24
2. 4C + D ≤ 24
3. 2C + D ≤ 24
4. 10(2C + D) ≤ Budget
5. C ≥ 0
6. D ≥ 0
The objective is to find the values of C and D that maximize the profit while satisfying the constraints. The LP solver can be used to solve this model, providing the optimal values for C and D, and consequently, the maximum profit.
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