Answer:
C
Step-by-step explanation:
\(-5x-49\geq 113\)
\(-5x\geq 162\)
\(x\leq -32.4\)
(Multiplying or dividing by a negative flips the sign).
What’s the mean of 46,57,66,63,49,52,61,68
Answer:
Step-byHow do I calculate the mean?
The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value
-step explanation:
46+57+66+63+49+52+61+68= 462/8 the total number of observation
the answer 57
help me find the slope please!!!
Answer:
m=6 or 6 it would be your answer hope it helps
please help me so love this problem?
Answer:
12.7 ==> distance of RS
24.2 ==> distance of RT
Step-by-step explanation:
Distance is always positive. So if you get a negative value, take the absolute value of the negative number:
For example, between point R and S:
-17.2 - (-4.5) =
-17.2 + 4.5 = ==> subtracting a negative number is equivalent to adding a
positive number
-(17.2 - 4.5) = -12.7
-12.7 ==> |-12.7| = 12.7 ==> distance of RS
For RT:
-17.2 - 7 =
-(17.2 + 7) = -24.2
-24.2 ==> |-24.2| = 24.2 ==> distance of RT
in the 3rd quadrant, find SIN
PLS HELP THANK YOUUUUUUU
Estimate 10/11 x 1/9. BRAINLIEST TO PEOPLE WHO ANSWER CORRECTLY!!
A. about 1
B. about 2
C. about 0
D. about 1/2
if instead the triangle on the left had the same area as the circle on the right
If the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.
If the triangle on the left had the same area as the circle on the right, it would mean that the triangle would have to be larger than its current size. This is because the area of a circle is determined by the formula A=πr^2, where r is the radius of the circle.
Therefore, if the area of the circle is equal to the area of the triangle, the radius of the circle would have to be equal to the height of the triangle, and the base of the triangle would need to be wider.
This would result in a larger triangle with a greater surface area than the current triangle. The larger triangle would also have a longer perimeter, which would make it more difficult to enclose and would require more material to construct.
Additionally, the larger triangle would have a higher center of gravity, which could make it more difficult to balance and more prone to tipping over.
Overall, if the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.
It is important to consider both the area and the shape of an object when determining its practicality and effectiveness in a given situation.
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is - 5/1 a integer?
True or False: If the data for an observation on either the dependent variable or one of the independent variables are missing at random, then the size of the random sample available from the population must be reduced, which reduces the estimator's precision and introduces a bias.
Answer:
true
Step-by-step explanation:
2. What is the distance from Mia's house to Teresa's house? Explain how you found
this distance. (2 points)
3. Find the distance from Teresa's house to the arena. Show your work. (3 points)
4. What is the total distance of Alanah's trip to the arena? (3 points)
The distance from Mia's house to Teresa's house is 14 units
How to calculate the distance from Mia's house to Teresa's house?Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²)
The distance from Mia's house to Teresa's house:
Mia's House coordinate is (8, 16): x1 = 8, y1 = 16
Teresa's house coordinate is (8, 2): x2 = 8, y2 = 2
Since the coordinates, both have the same x values, we can simply find the distance by subtracting the y values. That is:
distance = 16 -2 = 14 units
Distance from Teresa's house to the arena:
Teresa's house coordinate is (8, 2): x1 = 8, y1 = 2
Arena coordinate is (14, 4): x2 = 14, y2 = 4
Using the formula with the given values:
d=√((x2 – x1)² + (y2 – y1)²)
d=√((14 – 8)² + (4 – 2)²) = 6.32 units
Distance from Alana's house to Mia's house:
Alana's house coordinate is (2, 8): x1 = 2, y1 = 8
Mia's house coordinate is (8, 16): x2 = 8, y2 = 16
d=√((8 – 2)² + (16 – 8)²) = 10 units
The total distance of Alanah's trip to the arena = 14 + 6.32 + 10 = 30.32 units
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2. Regina Aguirre deposits $2,000 into an ordinary annuity after each 6-month period for 4 years. The account
pays 6% interest compounded semiannually. Find the a) future value, and b) total interest earned.
Many fire stations handle emergency calls for medical assistance as well as calls requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.63. This can be expressed as
P(call is for medical assistance) = 0.63.
(b) What is the probability that a call is not for medical assistance?
(c) Assuming that successive calls are independent of one another, calculate the probability that two successive calls will both be for medical assistance.
(d) Still assuming independence, calculate the probability that for two successive calls, the first is for medical assistance and the second is not for medical assistance.
(e) Still assuming independence, calculate the probability that exactly one of the next two calls will be for medical assistance. (Hint: There are two different possibilities. The one call for medical assistance might be the first call, or it might be the second call.)
(b) The probability that the call is not for medical assistance = 0.37
(c) The probability that two successive calls will both be for medical assistance = 0.3969
(d) The probability that the first is for medical assistance and the second is not for medical assistance = 0.2331
(e) The probability that exactly one of the next two calls is going to be for medical assistance = 0.4662
Define Probability.The probability of an event is the proportion of favourable outcomes to all other possible outcomes. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability:
Probability (Event) = Positive Results/Total Results
= x/n
Given P (call for medical assistance) = 0.63
This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.63 or 63%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:
P (Not Medical Assistance) = 1 - P (Medical Assistance)
= 1 - 0.63
= 0.37
Now, assuming that successive calls are independent of one another, the probability that two successive calls will both be for medical assistance will be:
P (2 calls for medical assistance)
= 0.63 × 0.63
= 0.3969
The probability that the first is for medical assistance and the second is not for medical assistance will be:
P (1st for medical assistance × 2nd for not medical assistance)
= 0.63 × 0.37
= 0.2331
The probability that exactly one of the next two calls is going to be for medical assistance will be:
P (Exactly 1 call for medical assistance)
= (0.63×0.37) + (0.63×0.37)
= 0.2331 + 0.2331
= 0.4662
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Please help me with these questions
The rate of change of the linear functions given in tabular form and equations are found as follows;
1. a. The rate of change of the function is 5
b. The rate of change of the function is 7
c. The rate of then function is 0.75
d. The function has a rate of change of -8
2. The rate of change of the function of -4, indicates that each unit increase in the input value results in 4 unit decrease in the output values
b. The number of days it took for the patients blood sample to have 360 antibodies is 13 days
c. The rate of change of the function is 20, which indicates that the antibody in the patients blood is increasing at a rate of 20 antibodies each day
The rate of change of a function is a measure of how much the output changes per unit change in the input.
1. The rate of change of the functions are as follows;
a. The first difference of the y-values is constant, therefore the function is a linear function
The formula for the rate of change of the linear function is presented as follows;
\(m = \dfrac{y_2-y_1}{x_2 - x_1}\)
The rate of change of the function is therefore;
\(\dfrac{\Delta y}{\Delta x} = \dfrac{-3 - (-8)}{1 - 0} = 5\)b. The first difference is constant and equal to 7, the rate of change of the straight line function is therefore;
\(\dfrac{\Delta y}{\Delta x} = \dfrac{49-42}{1-0} = 7\)
The rate of change of the function is 7 unit changes in the y-value per unit change in the x-valuesc. The function is a linear function, as the first difference is constant and equal to 0.75
The rate of change of the function is therefore;
\(\dfrac{\Delta y}{\Delta x} = \dfrac{2.25-1.5}{-4-(-5))} = 0.75\)
The rate of change of the function is 0.75d. The first difference is constant and equal to -8
The rate of change of the straight line function is therefore;
\(\dfrac{\Delta y}{\Delta x} = \dfrac{5 - 13}{1 - 0} = -8\)
The rate of change of the function is -82. a. The rate of change of the function, y = -4·x + 1 is found by taking the slope of the function
The function is the equation of a straight line, of the form, y = m·x + c with the slope, m = -4
The rate of change of the function is -4, such that for each unit increase in the input value, the output value decreases by 4 units
b. When the number of antibodies is 360, we have;
360 = 20·d + 100
20·d = 360 - 100 = 260
d = 260 ÷ 20 = 13
It would take 13 days for the patients blood to have 360 antibodiesc. The rate of change of the function means that the number of antibodies the drug produces in the patients body each day is 20 antibodies.
3. The function that gives the amount of antibodies in the body is a = 20·d + 100
d = The number of days
a = The number of antibodies
a. The table is completed as follows;
Data for Medicine A
d \({}\) a
0 \({}\) 100
1 \({}\) 120
2 \({}\) 140
3 \({}\) 160
4 \({}\) 180
5 \({}\) 200
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Whole numbers and the counting numbers less than zero are called ______.
Answer:
integers
Step-by-step explanation:
integers include whole numbers and negative non fractions
if you add an exclamation I will give you a Brain list
A male animal can weigh up to 6,000 pounds.
How many tons is 6,000 pounds?
6,000 pounds is equivalent to what
tons.
Answer:
it would be 3 tons if I'm correct
Answer: 3 tons
Step-by-step explanation:
1 ton is equal to 2,000 pounds.
Divide 6,000 from 2,000 to find how many tons the animal weighs.
6,000/2,000=3.
Hope this helps!
Leigh earned the following score from the judges for her balance bean routine. 9.20 9.30 9.20 9.30 9.20 9.00. Q2 cross off the lower score and the highest score
Answer: I am not so sure but I think it’s asking for the median so that would be ANSWER 9.2
Step-by-step explanation:
Find the equation in standard form of the circle with center at (4, −1) and that passes through the point (−4, 1).
Answer:
The standard form of the equation of a circle with center at (h, k) and radius r is:
(x - h)^2 + (y - k)^2 = r^2
We are given that the center of the circle is (4, -1), so h = 4 and k = -1. We also know that the circle passes through the point (-4, 1), which means that the distance from the center of the circle to (-4, 1) is the radius of the circle.
The distance between two points (x1, y1) and (x2, y2) is given by the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
So the radius of the circle is:
r = sqrt((-4 - 4)^2 + (1 - (-1))^2) = sqrt(100) = 10
Now we can substitute the values of h, k, and r into the standard form equation of a circle:
(x - 4)^2 + (y + 1)^2 = 10^2
Expanding the equation gives:
x^2 - 8x + 16 + y^2 + 2y + 1 = 100
Simplifying and putting the equation in standard form, we get:
x^2 + y^2 - 8x + 2y - 83 = 0
Therefore, the equation in standard form of the circle with center at (4, −1) and that passes through the point (−4, 1) is:
x^2 + y^2 - 8x + 2y - 83 = 0
HELPPPPPPP I'LL GIVE BRAINLY
3x + 5 ≤ -13
Answer:
x <-6
Step-by-step explanation:
Hello everyone-SOLVING nonlinear system of equations- ALGEBRA 1
The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.
To solve the nonlinear system of equations:
Equation 1: \(y = -x^2 + 7\)
Equation 2: y = 2x + 4
We can equate the right sides of both equations since they both represent y.
\(-x^2 + 7 = 2x + 4\)
To simplify the equation, we can rearrange it to be in the standard quadratic form:
\(x^2 + 2x - 3 = 0\)
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:
(x + 3)(x - 1) = 0
From this equation, we get two possible solutions:
x + 3 = 0 => x = -3
x - 1 = 0 => x = 1
Now, we substitute these x-values back into either equation to find the corresponding y-values.
For x = -3:
y = 2(-3) + 4
y = -6 + 4
y = -2
For x = 1:
y = 2(1) + 4
y = 2 + 4
y = 6
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Toula owns the Pita Pan restaurant. She needs to order supplies for the upcoming weekend rush. She needs 150 bags of pita bread. The bread come in crates of 50, and each crate costs $15.00. She also needs 65 containers of hummus dip. There are 5 containers in a box, and each box costs $20.00 What expressions can Toula use to determine how much the pita bread and hummus dips will cost? What will the total be?
The total cost of the pita bread and hummus dips will be $305.00.
To determine the cost of the pita bread and hummus dips, Toula can use the following expressions:
Cost of pita bread:
Number of crates needed = (150 bags) / (50 bags/crate) = 3 crates
Cost of each crate = $15.00
Total cost of pita bread = (Number of crates needed) × (Cost of each crate) = 3 crates × $15.00/crate = $45.00
Cost of hummus dips:
Number of boxes needed = (65 containers) / (5 containers/box) = 13 boxes
Cost of each box = $20.00
Total cost of hummus dips = (Number of boxes needed) × (Cost of each box) = 13 boxes × $20.00/box = $260.00
Therefore, the expressions Toula can use to determine the costs are:
Cost of pita bread = 3 crates × $15.00/crate
Cost of hummus dips = 13 boxes × $20.00/box
The total cost will be the sum of the costs of pita bread and hummus dips:
Total cost = Cost of pita bread + Cost of hummus dips
Total cost = $45.00 + $260.00
Total cost = $305.00
Therefore, the total cost of the pita bread and hummus dips will be $305.00.
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A cyclist takes 16secs to travel 200 meters. a. calculate the speed. B. Is this speed at the start, at the finish or the average.
Answer:
12.5 secs per meter
Step-by-step explanation:
start of average
Violet bakes 7 dozen cookies.
She ate 2 cookies.
She gave 2 dozen cookies to her brother.
She gave 9 cookies to her mother.
How many cookies did Violet have left?
Show your work.
Answer: 49 cookies
Step-by-step explanation: 7 dozen= 84 , so subtract 84 by the 2 cookies she ate and you'll get 82, now 2 dozen= 24, so now subtract the 24 cookies that she gave to her brother by 82 and you'll get 58, then subtract the nine cookies she gave to her mom by 58 and you'll get 49 cookies.
so basically,, 84-2= 82 -2 = 58 -9= 49
I hope this helped :)
0.07, 0.005, 0.75
from smallest to largest
PLEASE HELP!!!
What is an equation of the line that passes through the points ( − 6 , 8 ) (−6,8) and ( 3 , − 4 ) (3,−4)?
Answer:
y = 12x − 4
Hope this helps! :)
С
What is the solution to the equation 3x ÷ (-6) = -12?
Answer:
x=24
Step-by-step explanation:
First: Multiply -6 to both sides
Next: You get 3x=72
Then: Divide 72 by 3
Last:....
ANSWER: x=24
hi !! the answer is x= -24 :))
Steve is training for a marathon. He has run the following distances so far this week: 5 miles, 8.5 miles, 3.5 miles and 9 miles. He is going to run one more day this week. If Steve would like to average 7 miles for his training runs this week, how many miles should he run during his last run of the week?
Let set A = {2, 4, 6, 8} and set B = {1, 2, 3, 4, 5, 6, 7, 8}.
Which set represents A ∩ B?
{1, 2, 3, 4, 5, 6, 7, 8}
{1, 3, 5, 7}
{1, 1, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8}
{2, 4, 6, 8}
The intersection of the given sets is represented as A ∩ B = {2, 4, 6, 8}.
Option (D) is correct.
What is the intersection of two sets?
The intersection of two sets, A and B, is the set of elements that are common to both sets. It is often represented by A ∩ B.
In this case, Set A = {2, 4, 6, 8} and set B = {1, 2, 3, 4, 5, 6, 7, 8}. The set that represents A ∩ B is {2, 4, 6, 8} because these are the elements that are common to both sets A and B.
So the correct answer is {2, 4, 6, 8}
Hence, the intersection of the given sets is represented as A ∩ B = {2, 4, 6, 8}.
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Use custom relationships to create a graph, showing the solution region of the system of inequalities, representing the constraints of the situation. Did Mark and label it point represents a viable combination of guest School district is planning a banquet to honor his teacher of the year and raise money for the scholarship foundation. The budget to hold the banquet in a hotel room and miles is $3375 the venue can hold no more than 125 guest the cost is $45 per adult but only $15 per student because caterer offers a student discount discount
We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.
What is banquet?
A banquet is a large formal meal that usually involves multiple courses and is served to a group of people on special occasions such as weddings, awards ceremonies, or fundraising events. Banquets often include speeches, presentations, and entertainment, and are typically held in a large venue such as a hotel ballroom, banquet hall, or conference center. Banquets can be hosted for a variety of purposes, such as to honor a special guest, celebrate an achievement, or raise money for a charitable cause.
To create a graph showing the solution region of the system of inequalities representing the constraints of the situation, we can use custom relationships to define the variables and constraints.
Let's define the variables:
Let x be the number of adult guests.
Let y be the number of student guests.
Now, let's write the system of inequalities representing the constraints of the situation:
The total number of guests cannot exceed 125: x + y ≤ 125
The cost of hosting the banquet cannot exceed $3375: 45x + 15y ≤ 3375
To graph this system of inequalities, we can plot the boundary lines of each inequality and shade the region that satisfies all the constraints.
The boundary lines of each inequality are:
x + y = 125 (the line that connects the points (0, 125) and (125, 0))
45x + 15y = 3375 (the line that connects the points (0, 225) and (75, 0))
To find the viable combinations of guests that satisfy all the constraints, we need to shade the region that is below the line x + y = 125 and to the left of the line 45x + 15y = 3375.
The resulting graph should look like this:
The point where the two lines intersect, (75, 50), represents the maximum number of adult guests (75) and the maximum number of student guests (50) that can be invited to the banquet while staying within the budget and venue capacity. Any point within the shaded region represents a viable combination of guests.
We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.
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How many schools have fewer than 50 classrooms
Answer:
7 schools have fewer than 50 classrooms.
Lucy received 5/6 of the 180 votes cast for class secretary. How many votes did she receive?
Answer:
150 votes
Step-by-step explanation:
If Lucy got 5/6, we can do the following.
(5/6) * 180 = 150
So, Lucy got 150 votes.
Answer:
150
Step-by-step explanation:
We can first divide 180 by 6:
180/6 = 30
Then multiply that by 5:
5 × 30 = 150