Answers
Answer:
-9 and -8 ...............
Related Questions
Tornadoes have occurred on every continent except Antarctica. They occur most often between latitudes of 30° and 50°. Write a compound inequality describing the latitude in which tornadoes are not likely to occur.
Answers
The tomatoes will not likely occur in less than 30 and greater than 50 latitude regions.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that Tornadoes have occurred on every continent except Antarctica. They occur most often between latitudes of 30° and 50°.
The region between tomatoes occur is,
30< T < 50
The region in which the tomatoes are not occur is,
T < 30
T > 50
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Morganton Company makes one product and it provided the following information to help prepare the master budget:
The budgeted selling price per unit is $60. Budgeted unit sales for June, July, August, and September are 8,600, 17,000, 19,000, and 20,000 units, respectively. All sales are on credit.
Thirty percent of credit sales are collected in the month of the sale and 70% in the following month.
The ending finished goods inventory equals 25% of the following month’s unit sales.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Each unit of finished goods requires 5 pounds of raw materials. The raw materials cost $2.40 per pound.
Thirty five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
The direct labor wage rate is $14 per hour. Each unit of finished goods requires two direct labor-hours.
The variable selling and administrative expense per unit sold is $1.80. The fixed selling and administrative expense per month is $67,000.
5. If 96,250 pounds of raw materials are needed to meet production in August, how many pounds of raw materials should be purchased in July?
Answers
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.
Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.
The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.
To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.
Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.
The payment for raw materials purchases in July (35% of X pounds) will be:
0.35 * X pounds
The payment for raw materials purchases in August (65% of X pounds) will be:
0.65 * X pounds
Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:
Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July
X pounds - 0.35 * X pounds = 9,500 pounds
Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.
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Malcolm trains on his kayak every weekend. He paddles upstream (against current) for 3 ½ hours and then returns downstream (with current) in 2hrs 6 minutes. If the river flows at 3km/ h, find:
* The paddling speed in still water
* The distance he paddles upstream.
Answers
The probability she pulls out a purple piece of candy would be 0.22.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is Sam's fathers collection.
We can write the equations for upstream and downstream as -
x - y = 7/2
x + y = 21/10
Solving the equations graphically -
{x} = 2.8
{y} = 0.7
In still water, the speed would be -
S = 3 - 0.7
S = 2.3 Km/h
Distance peddled upstream -
D = 2.8 x 3.5 = 9.8 Km
Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.
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Find the measure of a.
Answers
The measure of angle a is 70 degrees
How to determine the measure of a?The angle in a semicircle is a right angle.
This means that:
a + d = 90
Where O is the center of the circle
From the figure, we have:
Angle d and the angle with a measure of 20 degrees are corresponding angles
This means that
d = 20
Substitute d = 20 in a + d = 90
a + 20 = 90
Subtract 20 from both sides of the equation
a = 70
Hence, the measure of angle a is 70 degrees
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Please Someone help do not understand it ASAP
Answers
Answer:
1a) 90 = 2y + 2(2x) 1b) 45 - 2x = y
Step-by-step explanation:
1a) 90 = 2y + 2(2x)
1b) 90 = 2y + 2(2x) Use the equation from above and multiply
90 = 2y + 4x
-4x - 4x Subtract 4x from both sides
90 - 4x = 2y Divide both sides by 2
45 - 2x = y
Point B has coordinates (4,2). The x-coordinate of point A is - 1. The distance between point A and
point B is 13 units. What are the possible coordinates of point A?
Answers
Answer:
A (-1,-10) ; A (-1,14)
Step-by-step explanation:
\(\sqrt{(-1-4)^2 + (y-2)^2} = 13 \\ 25 + y^2 + 4 -4y = 169\)
y^2 -4y - 140 = 0
Δ/4 = 4 + 140 = 144
y1 = 2 + 12 = 14
y2 = 2 -12= -10
A puzzle has 1080 pieces. How many pieces are 80% of the puzzle?
Answers
Answer:
864
Step-by-step explanation:
80/100 simplified is 4/5
so you do 4/5 of 1080
which is 1080 divided by 5 that is 216
and then 216 x 4 which is 864
Party trades which cost $14 to make not including labor or so for $35 it’s two people work eight hour shifts making the trays 7 per hour how many trays must be so to cover all costs including labor
Answers
Answer:
7 trays which is 7 hours
Step-by-step explanation:
Find the values of a and b such that 4x^2+12x=4(x+p)^2-q
Answers
Answer: p = 1.5 and q = 9
Step-by-step explanation:
Expand the right side then compare the coefficients of like terms on both sides, that is
4(x + p)² - q ← expand (x + p)² using FOIL
= 4(x² + 2px + p²) - q ← distribute parenthesis
= 4x² + 8px + 4p² - q
Comparing coefficients of like terms on both sides
8p = 12 ( coefficients of x- terms ) ← divide both sides by 8
p = 1.5
4p² - q = 0 ( constant terms ), that is
4(1.5)² - q = 0
9 - q = 0 ( subtract 9 from both sides )
- q = - 9 ( multiply both sides by - 1 )
q = 9
The difference of two numbers is 3. Their sum is 13.
Answers
Answer:
8 and 5
Step-by-step explanation:
A table is in the shape of a regular pentagon with a side length of 3 feet and an
apothem of 2.06 ft. What is the area of the table? Round to the nearest tenth
Answers
Answer:
15.5 ft²
Step-by-step explanation:
The area (A) of a regular polygon is calculated as
A = \(\frac{1}{2}\) pa ( p is the perimeter and a the apothem )
Here side of regular pentagon is 3 ft, thus
perimeter = 5 × 3 = 15, so
A = 0.5 × 15 × 2.06 ≈ 15.5 ft ( to the nearest tenth )
Find m and c for this line
Y+3x=1
Answers
Answer:
m = -3 ; c = 1
Step-by-step explanation:
y = -3x + 1
y = mx + c
m = -3
c = 1
For the function f(x) shown below, find the definite integral ∫₀⁶ f?(x)dx
Answers
========================================================
Explanation:
The left-most rectangle spans from x = 0 to x = 2. It has base 2 and height 2, which means it has an area of 2*2 = 4 square units. Let A = 4 since we'll use it later.
The middle rectangle goes from x = 2 to x = 4. It has base 2 and height 3 (because it goes from y = 0 to y = -3). The area is B = 2*3 = 6
Draw a vertical line through 6 on the x axis. This forms the final rectangle we need. It has base 2 (because it goes from x = 4 to x = 6) and height 5. The area is C = 2*5 = 10.
The small sliver to the right of x = 6 is ignored completely.
--------------------
Summary so far:
A = 4B = 6C = 10Those represent the areas of the rectangles from left to right. We ignore the portion to the right of x = 6.
Since rectangle B is below the x axis, we treat this as a negative area, or we subtract off this area. The positive areas of rectangles A and C are added.
So,
A-B+C = 4-6+10 = 8 is the final answer
We can write \(\displaystyle \int_{0}^{6}f(\text{x})d\text{x} = \boldsymbol{8}\)
3 9/13 to a improper fraction
Answers
Answer:
48/13
Step-by-step explanation:
To make this into an improper fraction, convert the integer into a fraction using the denominator of the fraction
3 * 13/13 = 39/13
Then add it to the rest of the fraction
39/13 + 9/13
= 48/13
Answer: 48/13
Step-by-step explanation: first multiply 3 x 13 to get 39. do this because you get the fraction for the whole number, 3. then, add 39 to the numerator (9). you will get 48/13. you do this because you are adding the whole number (3) to the fraction so that way it is an improper fraction.
What’s the slope I need help
Answers
Answer:
-8/3
Step-by-step explanation:
You want the slope of the line shown in the graph.
Slope from point coordinatesWhether counting grid squares on the graph, or using the slope formula, it is convenient to choose two points on the grid where the line crosses the intersection of grid lines.
It appears, the line passes through grid points (1, 4) and (4, -4). Using the slope formula, we find the slope of the line to be ...
m = (y2 -y1)/(x2 -x1)
m = (-4 -4)/(4 -1) = -8/3
The slope of the line is -8/3.
Counting grid squaresThe slope is the ratio of "rise" to "run" for the line. From the two points we see where the line crosses grid intersections, we have a "rise" of -1 from y=4 to y=-4, and a "run" of 3 from x=1 to x=4.
rise/run = -8/3 = slope of the line
Give the domain and range. On a coordinate plane, points are at (negative 2, negative 1), (0, 1), (2, 3). a. domain: {2, 0, 2}, range: {1, 1, 3} b. domain: {–1, 1, 3}, range: {–2, 0, 2} c. domain: {–2, 0, 2}, range: {–1, 1, 3} d. domain: {1, 1, 3}, range: {2, 0, 2} Please select the best answer from the choices provided A B C D
Answers
Answer:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
Step-by-step explanation:
From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.
The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.
In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.
Therefore, the correct answer is:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
The Coast Starlight Amtrak train runs from Seattle to Los Angeles. The mean travel time from one stop to the next on the Coast Starlight is 129 mins, with a standard deviation of 113 minutes. The mean distance traveled from one stop to the next is 108 miles with a standard deviation of 99 miles. The correlation between travel time and distance is 0.636.
Required:
a. Write the equation of the regression line from predicting travel time.
b. Interpret the slope and the intercept in this context.
c. Calculate R2 of the regression line for predicting travel time from distance traveled for the Coast Starlight, and interpret R2 in the context of the application.
Answers
Solution :
a).
Given :
R = 0.636, \($S_x = 99$\), \($S_y=113, M_x=108, M_y=129$\)
Here R = correlation between the two variables
\($S_x , S_y$\) = sample standard deviations of the distance and travel time between the two train stops, respectively.
\($M_x, M_y$\) = means of the distance and travel between two train stops respectively.
The slope of the regression line is given by :
Regression line, \(b_1\) \($=R \times \left(\frac{S_y}{S_x}\right)$\)
\($=0.636 \times \left(\frac{113}{99}\right)$\)
= 0.726
Therefore, the slope of the regression line \(b_1\) is 0.726
The equation of the regression line is given by :
\($\overline {y} = b_0+b_1 \overline x$\)
The regression line also has to pass through the two means. That is, it has to pass through points (108, 129). Substituting these values in the equation of the regression line, we can get the value of the line y-intercept.
The y-intercept of the regression line \($b_0$\) is given by :
\($b_0=M_y-(b_1 \times M_x)$\)
= 129 - (0.726 x 108)
= 50.592
Therefore, the equation of the line is :
Travel time = 20.592 + 0.726 x distance
b).\(\text{ The slope of the line predicts that it will require 0.726 minutes}\) for each additional mile travelled.
The intercept of the line, \($b_0$\) = 0.529 can be seen as the time when the distance travelled is zero. It does not make much sense in this context because it seems we have travelled zero distance in 50.529 minutes, but we could interpret it as that the wait time after which we start travelling and calculating the distance travelled and the additional time required per mile. Or we could view the intercept value as the time it takes to walk to the train station before we board the train. So this is a fixed quantity that will be added to travel time. It all depends on the interpretation.
c). \($R^2=0.404$\)
This means that the model accounts for around 40.4% variation in the travel time.
Which of the following is the best estimate of
A.7 1/2
B. 8
C.8 1/2
D. 9
Answers
Answer:
b
Step-by-step explanation:
did the math?
8 is the best estimate of \(8\frac{1}{8}\).
In simple words, the ratio of the two numbers is called a fraction.
Mixed fraction is a form of a fraction which is defined as the ones having a fraction and a whole number.
For example, 2 (1/3) is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Step 1: Multiply the denominator with the whole number,
i.e. Multiply 8 with 8 in the given example, 8(1/8).
8× 8 =64
Step 2: Add the numerator of the Fraction to the result in step 1. i.e., Add 1+ 64=65.
Step 3: Keep the Denominator same i.e. 8.
Step 4: The Improper fraction obtained is: 65/8.
Given number can be denoted as 8+\(\frac{1}{8}\) = 8+0.15 = 8.15
So the number is nearest to 8 itself.
i.e. 8 is the best estimate.
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In a roll of 50 pennies, there are 12 dated 1977. If a penny is drawn at random, what is the probability that it is dated 1977?
Answers
Thus, probability that the one drawn penny is from 1977 dated pennies is 6/25.
Define about the probability:The probability about an occurrence in an experiment is the likelihood that the event will occur. Any event's probability is a number between (including all) "0" and "1".
If an event's probability is represented by P(E), then we get
If and only if the condition E is an impossibility, P(E) = 0.If and just if E is a specific event, then P(E) = 1.Given data:
Total pennies = 50
number of 1977 dated pennies = 12
probability = favourable outcome / total outcome
probability(1977 dated pennies) = number of 1977 dated pennies/ Total pennies
probability(1977 dated pennies) = 12/50
Divide numerator and denominator by 2.
probability(1977 dated pennies) = 6/25
Thus, probability that the one drawn penny is from 1977 dated pennies is 6/25.
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Please help , I litteraly have a F in Math
Answers
Answer:
A=3
B=31
Step-by-step explanation:
A)5-2=3
b)
17-10=7
10-5=5
7-5=2
2×7=14
14+17=31
Find the value of x.
Answers
find the radii of a circle 6.16ha
Answers
Answer:
88m
Step-by-step explanation:
area = 6.16msq
πrsq=6.16
22/7*rsq=6.16/100
22/7*rsq=616
rsq=616*7/22
rsq=4321/22
rsq=196
r=√196
r=14m
diameter=14*2=28m
radius=14m
circumfrence=2πr
=2*22/7*14
=44*2
=88m
the angle of elevation to the top of a building in new york is found to be 5 degrees from the ground at a distance of 2 miles from the base of the building. using this information, find the height of the building in feet. (hint: 1 mile
Answers
The height of the building will be 897.6 feet if the angle of elevation is 5 degree and distance is 2 miles.
The height, length of angle of elevation and the base of the triangle will form the right angled triangle. Thus, to find the height, we will use the formula -
tan theta = perpendicular ÷ base, where theta is the angle of elevation.
Now, keep the values in formula to find the height of the building.
height = tan 5 × 2
Keep the value of angle
height = 0.087 × 2
Performing multiplication on Right Hand Side of the equation
height = 0.17 mile
As per the known information, 1 mile = 5280 feet
So, 0.17 mile = 897.6 feet
Thus, the height of building is 897.6 feet.
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Choose the expression that correctly compares the numbers 117 and 171.
171 < 117
171 = 117
171 > 117
117 > 171
Answers
Answer:
171 > 117
Step-by-step explanation:
171 is greater than 117 meaning the alligator is eating the bigger number, 171.
Clint is making a10-Lb bag of trail mix for his upcoming backpacking trip. The chocolate cost $3.00 per pound and mixed nuts cost $7.00 per pound and Clint has a budget of $5.80 per pound of trail mix. Using the variables c and n to represent the of pounds of chocolate and the number of pounds of nuts he should use respectively, determine a system of equations that describes the situation.Enter the equations below separated by a comma.How many pounds of chocolate should he use?How many pounds of mixed nut should he use?
Answers
10 = c + n, 58 = 3c + 7n
Pounds of chocolate used is 3Lb
Pounds of mixed nut used is 7 Lb
Explanation:a) Total pound of trail mix = 10Lb
The cost of chocolate per pound = $3.00
The cost of mixed nuts per pound = $7.00
The budget of trail mix per pound = $5.80
let c represent the pound of chocolate used
let n represent the pound of mixed nut used
Total pound of trail mix = pound of chocolate used + pound of mixed nut used
10 = c + n .....(equation 1)
Total amount for the trail mix:
The budget of trail mix per pound(Total pound of trail mix) = The cost of chocolate per pound (pound of chocolate used) + cost of mixed nuts per pound (pound of mixed nut used)
5.8(10) = 3(c) + 7(n)
58 = 3c + 7n ....(equation 2)
The equations seperated by a comma:
10 = c + n, 58 = 3c + 7n
b) To determine the pounds of chocolate he should use, we will solve the system of equations
10 = c + n
58 = 3c + 7n
from equation 1, c = 10 - n
substitute 10 - n for c in equation (2):
58 = 3(10 - n) + 7n
58 = 30 - 3n + 7n
58 = 30 + 4n
58 - 30 = 4n
28 = 4n
divide both sides by 4:
28/4 = 4n/4
n = 7
substitute for n in equation 1:
10 = c + 7
10 - 7 = c
c = 3
Pounds of chocolate used is 3Lb
Pounds of mixed nut used is 7 Lb
help pls with my homework
Answers
Answer:
300.20
Step-by-step explanation:
because it was a nice guesss
Find the perimeter of this shape
Answers
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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Wally and Mike install swimming pools in the summer in a town. They are building a swimming pool that measures 14-1/2 feet wide and 23-1/2 feet long.
(a) At the outside edge of the pool is a protective fence. How many feet of fencing would be needed to surround the pool area?
(b) Kevin discovers that he can buy a packaged box of 90 feet of fencing for $950 or he can buy cut-to-order fencing that costs $12.40 per foot. Which type of fencing should he buy? How much money does he
save?
(a) They will need_____feet of fencing
(Type an integer, proper fraction, or a mixed number)
Answers
Answer:
(a) He would need 76 feet of fencing
(b) Kevin should buy the packaged box of 90 feet of fencing for $950.
(c) How much does he save?
For every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.
Step-by-step explanation:
(a) At the outside edge of the pool is a protective fence. How many feet of fencing would be needed to surround the pool area?
From the question, we are told that the swimming pool measures:
14-1/2 feet wide and 23-1/2 feet long.
Perimeter of a fence = 2(L + W)
= 2( 14-1/2 + 23-1/2)feet
= 76 feet
This means he need 76 feet of fencing.
(b) Kevin discovers that he can buy a packaged box of 90 feet of fencing for $950 or he can buy cut-to-order fencing that costs $12.40 per foot. Which type of fencing should he buy?
If : For cut to order fencing
1 foot = $12.40
76 feet =
Cross Multiply
= 76feet × $12.40/1 foot
= $942.4
This means that the cut to order fencing would cost him $942.40
The packaged box of fencing cost $950 for 90 feet of fencing. This is cheaper than the cut to order fencing and he would have extra feet of fencing(14 feet) .
Therefore, Kevin should buy the packaged box of 90 feet of fencing for $950.
How much money does he save?
For the cut to order box
1 feet = $12.40
For the packaged fence,
90 feet = $950
1 feet = x
= 950/90
= $10.555555556
≈ $10.56
Hence, 1 feet of packaged fence = $10.56
Subtracting $10.56 from $12.40
= $12.40 - $10.56
=$ 1.94
Therefore, for every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.
This means:
1 feet (packaged fence) = $10.56
76 feet = x
= 76 × $10.56
= $802.56
find the quadratic polynomial, the sum of whose zeroes is 8 and their product is 12. hence, find the zeroes of the polynomial.
Answers
The required quadratic polynomial is \(x^{2} - 8x + 12 =0\) and roots of this quadratic polynomial are 2 and 6.
Let the roots of the quadratic equation be \(\alpha\) and \(\beta\) .
Given,
Sum of zeroes, \(\alpha +\beta = 8\)
Product of Zeroes, \(\alpha *\beta = 12\)
we know that,
Quadratic Equation can be written as :
\(x^{2} - (\alpha + \beta )x + \alpha \beta =0\)
Substituting the values in the above Equation,
\(x^{2} - (8)x + (12) =0\)
\(x^{2} - 8x + 12 =0\)
Hence, The required quadratic equation is \(x^{2} - 8x + 12 =0\) .
Now, let's factorize the equation to find its root:
\(x^{2} - 8x + 12 =0\)
\(x^{2} - 6x -2x+ 12 =0\)
\(x(x-6) -2(x-6)=0\)
\((x-6)(x-2)=0\)
⇒ \(x= 2,6\)
Therefore roots of the quadratic equation \(\alpha ,\beta\) are \(2,6\) .
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how do you solve this as a solution 9(2 + 3x) < 72
Answers
Answer:
x <2
Step-by-step explanation:
9(2 + 3x) < 72
Divide each side by 9
9/9 *(2 + 3x) < 72/9
2+3x < 8
Subtract 2 from each side
2+3x-2 < 8-2
3x<6
Divide each side by 3
3x/3 <6/3
x <2