The two factors that add up to 6 are 3 and 3. This is because 3 + 3 = 6.
However, there are no two factors that can be multiplied together to give a product of -7. This is because if we multiply two factors, the result is positive if both factors have the same sign (both positive or both negative), and negative if the factors have opposite signs. Therefore, we cannot find two factors that multiply to give -7, as there are no two factors with opposite signs whose product is 7.
In other words, if we let x and y be two factors that multiply to give -7, then either x and y are both positive or both negative. If they are both positive, then their product is positive, which is not equal to -7. If they are both negative, then their product is positive as well, which is also not equal to -7. So there are no two factors that can be multiplied together to give -7.
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determine whether the statement describes an algebraic expression or an algebraic equation.
a) 3x — 4y + 3y — 7
b) 4x — 16 = 0
c) 2xy + 7 — 3xy
d) 6x — 5 = 11
Answer:
a) Algebraic equation
b) Algebraic equation
c) Algebraic expression
d)Algebraic equation
How do you even do this???
Answer:
\(y = \frac{x - 4}{2} \\ 2y = x - 4 \\ 2y + 4 = x \\ x = 2y + 4 \\ thank \: you\)
The product of two consecutive integers is 19 more than their sum. Find the integers.A. 5,6 B. -4,-3 C. 4,5 or -4,-3 D. 5,6 or -4 , -3
The answer to the question is C, which is integers 4,5 or -4,-3.
Let's call the first integer x and the second integer x+1 (since they are consecutive).
According to the problem, we can set up the following equation:
x(x+1) = x + (x+1) + 19
We can simplify this equation by expanding the left side and combining like terms on the right side:
x^2 + x = 2x + 20
Now we can move all the terms to one side and get a quadratic equation:
x^2 - x - 20 = 0
We can factor this equation as (x-5)(x+4) = 0, which means the solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The long answer includes all the steps of solving the quadratic equation:
x^2 - x - 20 = 0
We can use the quadratic formula to solve for x:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a=1, b=-1, and c=-20.
x = (1 ± √(1 - 4(1)(-20))) / 2(1)
x = (1 ± √81) / 2
x = (1 ± 9) / 2
The two solutions for x are 5 and -4.
Therefore, the two consecutive integers are either 4,5 or -4,-3.
The product of two consecutive integers is 19 more than their sum. To find the integers, let's represent them as x and x+1.
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-14x=168
Solve for x. Show your work
Answer:
The value of x = -12
Step-by-step explanation:
Given:
Equation;
-14x=168
Find:
The value of x
Computation:
-14x = 168
Divided -14 from both side
-14x / 14 = 168 / 14
- x = 12
The value of x = -12
Fill out the Rate column in the table below.
a = b=
The rate column will be:
A= 30
B= 20
C= x miles
D= x miles
What is rate?It should be noted that rate simply means the measure, quantity, or frequency that one measure against another quantity or measure.
In this case, Jorden drives to the store at 30 miles per hour and on her way home she averages only 20 miles per hour.
Therefore, the rate column will be:
A= 30
B= 20
C= x miles
D= x miles
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Fill out the Rate column in the table below. Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store? Fill out the Rate column in the table below. a = b =
this histogram shows the yearly number of unprovoked attacks by alligators on people in florida over 33 years. what is the midpoint of the yearly number of unprovoked alligator attacks?
The midpoint of the yearly number of unprovoked alligator attacks can be calculated by finding the class interval that contains the median value. In this histogram, the class intervals are not provided, so we cannot determine the exact midpoint.
However, we can estimate the midpoint by visually locating the point where the histogram is balanced or roughly in the middle. Based on the histogram, it appears that the midpoint is around 6-8 attacks per year.
The midpoint of the yearly number of unprovoked alligator attacks in Florida over 33 years can be found by first identifying the highest and lowest number of attacks in the histogram. Once you have those values, add them together and divide by 2 to find the midpoint.
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At the start of a trip the odometer read 34,432 km.at the end it read 34,514.006 how long was the trip
Step-by-step explanation:
34,514.006-34,432=84.006km
that's the distance
first to figure out is a maths genius
Therefore, the cat food will feed Sally's 3 cats for 16 days.
What is fraction?A fraction is a way of representing a part of a whole or a ratio between two numbers. It is written as a numerical quantity represented as a numerator and a denominator separated by a horizontal line or slash. The numerator represents the number of equal parts being considered, while the denominator represents the total number of parts in the whole or in the group being considered.
Here,
Each cat eats 1/4 of a tin of cat food per day, so the total amount of cat food needed per day for all 3 cats is:
3 x 1/4 = 3/4
This means that Sally needs 3/4 of a tin of cat food per day to feed all 3 cats. If she buys 12 tins of cat food, this will last:
12 / (3/4) = 12 x 4/3
= 16 days
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which of the following is equal to the rational expression when x ≠ -1 or -7
Answer:
A.
Step-by-step explanation:
When you simplify the equation down by getting rid of (x + 1) (and that creates a hole in the graph), you should end up with A as your answer.
Water is rushing down the slide at a rate of 1 half gallon every 3 seconds .At this rate , how many gallons of water rush down the slide each seconds ?
1/2 gallons of water rush down the slide each seconds.
Explain the method of unitary?The unitary approach involves calculating the value of a specific unit, from which we can calculate the values of the necessary number of units.The unitary method's formula is to identify the value of a specific unit, then multiply that value by the number of units to obtain the required value.For the given question-
Rate of running water = 1 half gallon every 3 seconds.
Rate of running water = 1 1/2 = 3/2 gallon every 3 seconds.
It means-
In every 3 seconds ----> 3/2 gallons water flows.
Thus for 1 sec, divide both side by 3.
1 seconds ----> 1/2 gallons water flows.
Therefore, 1/2 gallons of water rush down the slide each seconds.
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Chess top uses the periodic inventory system. For the current month, the beginning inventory consisted of 200 units that cost p65 each. During the month, the company made two purchases: 300 units at p68 each and 150 units at p70 each. Chess top also sold 500 units during the month. Using the average cost method, what is the amount of ending inventory?.
The ending inventory amount is p68,000: (200 x 65) + (300 x 68) + (150 x 70) - (500 x 68) = 68,000.
1. Calculate the total cost of the beginning inventory: 200 units x p65 = p13,000
2. Calculate the total cost of the first purchase: 300 units x p68 = p20,400
3. Calculate the total cost of the second purchase: 150 units x p70 = p10,500
4. Calculate the total cost of the units sold: 500 units x p68 = p34,000
5. Calculate the total cost of the ending inventory amount : (13,000 + 20,400 + 10,500) - 34,000 = p68,000
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standard normal table for z-values. > Demand =100 bags / week > Order cost =$55 /order ≻ Annual holding cost =25 percent of cost > Desired cycle-service level =92 percent > Lead time =4 week(s) (20 working days) > Standard deviation of weekly demand =13 bags > Current on-hand inventory is 350 bags, with no open orders or backorders. a. What is the EOQ? Sam's optimal order quantity is bags. (Enter your response rounded to the nearest whole number.) What would be the average time between orders (in weeks)? The average time between orders is 4.46 weeks. (Enter your response rounded to one decimal place.) b. What should R be? The reorder point is bags. (Enter your response rounded to the nearest whole number.) c. An inventory withdrawal of 10 bags was just made. Is it time to reorder? It time to reorder. d. The store currently uses a lot size of 495 bags (i.e., Q = 495). What is the annual holding cost of this policy? The annual holding cost is $ (Enter your response rounded to two decimal places.) What is the annual ordering cost? The annual ordering cost is $. (Enter your response rounded to two decimal places.)
The Economic Order Quantity (EOQ) formula is used to compute the optimal quantity of an inventory to order at any given time. It is calculated by minimizing the cost of ordering and carrying inventory, and it is an important element of supply chain management.
According to the problem given, the following information is given:Demand = 100 bags / weekOrder cost = $55 / orderAnnual holding cost = 25% of costDesired cycle-service level = 92%Lead time = 4 week(s) (20 working days)Standard deviation of weekly demand = 13 bagsCurrent on-hand inventory is 350 bags, with no open orders or backorders.a. To calculate the Economic Order Quantity (EOQ), we need to use the formula:EOQ = √[(2DS)/H],whereD = Demand per periodS = Cost per orderH = Holding cost per unit per period. Substitute the given values,D = 100 bags/weekS = $55/orderH = 25% of cost = 0.25Total cost of inventory = S*D + Q/2*H*DIgnoring Q, the above expression is the annual ordering cost. Since we know the annual cost, we can divide the cost by the number of orders per year to obtain the average cost per order.Substituting the given values in the above formula,
EOQ = √[(2DS)/H] = √[(2*100*55)/0.25] = 420 bags
Sam's optimal order quantity is 420 bags. Hence, the answer to this part is 420.b. To calculate the reorder point (R), we use the formula:R = dL + SS,whereL = Lead timed = Demand per dayS = Standard deviation of demandSubstituting the given values,d = 100 bags/weekL = 4 weeksS = 13 bags/week
R = dL + SS = (100*4) + (1.75*13) = 425 bags
Therefore, the reorder point is 425 bags.c. If the inventory withdrawal of 10 bags has been made, we can calculate the new on-hand inventory using the formula:On-hand inventory = Previous on-hand inventory + Received inventory – Issued inventoryIf there are no open orders,Received inventory = 0Hence,On-hand inventory = 350 + 0 – 10 = 340Since the current on-hand inventory is more than the reorder point, it is not time to reorder. Therefore, the answer to this part is "It is not time to reorder."d. Annual holding cost of the current policy is the product of the holding cost per unit per period and the number of units being held.Annual holding cost =
(350/2) * 0.25 * 55 = $481.25
The annual holding cost is $481.25.Annual ordering cost = Total ordering cost / Number of orders per yearIf we assume 52 weeks in a year,Number of orders per year = 52/4 = 13Total ordering cost = 13 * $55 = $715Annual ordering cost = $715/13 = $55Therefore, the annual ordering cost is $55.
The Economic Order Quantity (EOQ) formula is used to compute the optimal quantity of an inventory to order at any given time. Sam's optimal order quantity is 420 bags. The reorder point is 425 bags. If there is an inventory withdrawal of 10 bags, then it is not time to reorder. The annual holding cost is $481.25. The annual ordering cost is $55. The average time between orders is 4.46 weeks.
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1
The student council sold pizzas for $10 each. The equation
y= 10x represents sale revenues, where x is the number of
pizzas sold and y is the revenue in dollars. Which statement
describes possible y-values?
A y is less than 0
C y is greater than 0
B yis less than or equal to 0 D y can be any number
Answer:
C
Step-by-step explanation:
because you cannot sell negative pizzas.
Consider the multiple regression model with two regressors X1 and X2, where both variables are determinants of the dependent variable. You first regress Y on X1 only and find no relationship. However when regressing Y on X1 and X2, the slope coefficient changes by a large amount. This suggests that your first regression suffers from a. heteroskedasticity b. perfect multicollinearity c. omitted variable bias d. dummy variable trap 8. Imperfect multicollinearity a. implies that it will be difficult to estimate precisely one or more of the partial effects using the data at hand b. violates one of the four Least Squares assumptions in the multiple regression model c. means that you cannot estimate the effect of at least one of the Xs on Y d. suggests that a standard spreadsheet program does not have enough power to estimate the multiple regression model
Some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.
Consider the multiple regression model with two regressors X1 and X2, where both variables are determinants of the dependent variable. You first regress Y on X1 only and find no relationship. However when regressing Y on X1 and X2, the slope coefficient changes by a large amount.
This suggests that your first regression suffers from omitted variable bias. Imperfect multicollinearity implies that it will be difficult to estimate precisely one or more of the partial effects using the data at hand. Imperfect multicollinearity means that there is a strong correlation between the regressors, but they are not perfectly correlated.
As a result, some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.
When there is multicollinearity in the data, it means that two or more of the variables are highly correlated with one another. In other words, the data may contain redundant information, which can make it difficult to estimate the regression coefficients or partial effects.The dummy variable trap refers to a situation in which one of the variables is a perfect linear combination of the other variables.
This results in the model being unsolvable, and the coefficients cannot be estimated. Heteroskedasticity is the term used to describe when the variance of the residuals is not constant across all values of the independent variables. This means that the predictions of the model may be biased, and the standard errors of the coefficients may be incorrect.
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john is $\frac{3}{4}$ the age of james. three years ago, john was $\frac{5}{7}$ the age of james. how old is james?
James is 24 years old.
Let John's age now is J.
Let james's age now is A.
From the question, we have
John is 3/4 the age of james.
J=3/4*A
J=3A/4
Three years ago, John was 5/7 the age of james.
J-3=5/7*(A-3)
J-3=(5A-15)/7
J=(5A-15)/7+3
3A/4=(5A-15)/7+3
21A=4(5A-15)+84
21A=20A-60+84
A=24
James is 24 years old.
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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In a group of 36 pupils, 10 play the flute only. 15 play the piano only. 4 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?
Answer:
9
Step-by-step explanation:
First you would need to subtract all the irrelevant students.
So, subtract 4 from 36, which is 34.
34 - (10 + 15) =
34 - 25 =
9
The answer is 9 pupils.
PLEASE helpppppppp!!!!!!
Answer:
the correct answer is the second
please help with this i’m hanging trouble
Answer:
Step-by-step explanation:
2x = 8
Division property of equality
divide both sides by 2
x = 4
If both spinners are spun simultaneously, what is the probability that both spinners will land on orange?
Answer:
The probability that neither land on orange is (1/2)* (7/8) = 7/16. Hence, the probability that at least one lands on orange is 1 - 7/16 = 9/16.
Step-by-step explanation:
me big brain
WILL GIVE BRAINLIEST INSTANTLY!!!1
Find the AREA of the shaded region.
(see photo)
Green text (what the arrow is pointing to) says: 8.7in
black text says: 63 degrees
Answer:
Step-by-step explanation:
\(\frac{a}{A}=\frac{\theta }{360^o}\\ \\ a=\frac{\pi r^2 \theta}{360^o}\\ \\ a=\frac{\pi (8.7)^2(126^o)}{360^o}\\ \\ a=\frac{9536.94\pi}{360}in^2\\ \\ a\approx 83.23 in^2\)
Find two positive integers if their difference is 5
and the sum of their squares is 193.
Answer:
7 & 12
Step-by-step explanation:
7²=49
12²=144
144+49=193
12-7=5
A man runs 2.4 km north and then 1.6 km in a direction 31
∘
east of north. A woman walks directly between the same initial and final points. (a) What distance does the woman walk? km (b) In what direction does the woman walk? (Enter only positive, acute angles.)
The woman walks a distance of 2.5 km and in a direction of approximately 56.31 degrees counterclockwise from the positive x-axis.
To solve this problem, we can use the fact that the woman walks directly between the same initial and final points as the man, which means that she follows the hypotenuse of a right triangle with legs 2.4 km and 1.6 km, where the second leg makes an angle of 31 degrees east of north.
(a) To find the distance the woman walks, we can use the Pythagorean theorem:
distance =\(\sqrt{((2.4 km)^2 + (1.6 km)^2)} = \sqrt{(6.25 km^2)\)
distance = 2.5 km
Therefore, the woman walks a distance of 2.5 km.
(b) To find the direction the woman walks, we can use trigonometry. Let theta be the angle that the hypotenuse makes with the positive x-axis (east). Then, we have:
tan(\($\theta\)) = (1.6 km) / (2.4 km) = 0.66667
\($\theta\) = tan(0.66667) = 33.69 degrees
Since the woman is walking towards the final point, the direction she walks is the acute angle between the hypotenuse and the positive x-axis, which is 90 - 33.69 = 56.31 degrees counterclockwise from the positive x-axis.
Therefore, the woman walks a distance of 2.5 km and in a direction of approximately 56.31 degrees counterclockwise from the positive x-axis.
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Find the length of the third side. If necessary, round to the nearest tenth 8 and 12
The length of the third side of the triangle which is the hypotenuse is 17 with other sides being 8 and 12.
What is a Triangle?This is referred to as a three-sided polygon that consists of three edges and three vertices and the longest side is referred to as the hypotenuse.
In other to get the length of the sides of a triangle, we have to apply pythagoras theorem which is seen below:
a² + b² = c²
To get the hypotenuse , we can use c=√a²+b²
c = √8² + 12²
c = √64 + 144
c = √289 = 17.
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E represents the anchors elevation relative to the waters surface (in meters)
A large ship lowered its anchor, The anchor's elevation (in meters) in relation to the water's surface is represented by E as a function of time t. (in sec) E=-2.4t+75. The anchor drop 12 meters every 5 seconds.
Given that in the picture we can see the question that is
A large ship lowered its anchor,
The anchor's elevation (in meters) in relation to the water's surface is represented by E as a function of time t. (in second).
E=-2.4t+75
According to the function E=-2.4t+75
We assume that \(t_{1}\).
So, every 5 second \(t_{1}\)=t+5.
So, we get
ΔE=E(t)-E(t+5)
ΔE=-2.4t+75-(-2.4(t+5)+75)
ΔE=-2.4t+75+2.4t+12-75
ΔE=12
Therefore, the anchor drop 12 meters every 5 seconds.
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answerrrrrr plssss ill giveee brainliesttttt
\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)
For what values of x will the function f(x) = 5x^2 + x - 6 equal zero?
A)x = -3 or 2
B)x=6/5 or -1
C)x = 3 or -2
D)x = -6/5 or 1
5x² + x - 6 = 0
Δ = 1² - 4*5*(-6) = 121 = 11²
x' = (-1 - 11) / (2x5) = -12/10 = - 6/5
x" = (-1 + 11) / (2x5) = 10/10 = 1
=> D
The values of x will the function \(f (x) = 5x^2 + x - 6\) equal zero are x = - 6/5 and x = 1. Hence option D is true.
Used the concept of a quadratic equation that states,
An algebraic equation with the second degree of the variable is called a Quadratic equation.
Example; ax² + bx + c = 0
Given that the quadratic equation,
\(f (x) = 5x^2 + x - 6\)
Now for the values of x at which the function equals zero, we have to find the zeroes of the function by using the factorization method.
\(f (x) = 5x^2 + x - 6\)
\(f (x) = 5x^2 + (6 - 5)x - 6\)
\(f (x) = 5x^2 + 6x - 5x - 6\)
\(f (x) = x (5x + 6) - 1 (5x + 6)\)
\(f (x) = (5x + 6) (x - 1)\)
Hence, the value of zeroes,
\(5x + 6 = 0\)
\(5x = - 6\)
\(x = \dfrac{- 6}{5}\)
And, \(x - 1 = 0\)
\(x = 1\)
So, the value of x is x = - 6/5 and x = 1. Hence option D is true.
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Lukas depositó $ 3000 en una cuenta de ahorros que genera una tasa de interés del 3.7% compuesto anualmente. ¿Cuál es el valor total de la cuenta después de 5 años?
Answer:
El valor total de la cuenta después de 5 años es de $3,598.
Step-by-step explanation:
Para encontrar la respuesta, tienes que utilizar la fórmula para encontrar el valor futuro:
VF=VP*(1+i)^n
VF=valor futuro
VP= valor presente=$3000
i=tasa de interés=0.037
n=número de periodos de tiempo=5 años
Ahora, puedes reemplazar los valores en la fórmula:
VF=3,000*(1+0.037)^5
VF=3,000*(1.037)^5
VF=3,598
De acuerdo a esto, la respuesta es que el valor total de la cuenta después de 5 años es de $3,598.
its in the screenshot.
Answer:
1. 12 inches
2. 36 inches
Step-by-step explanation: Solve for side b using the Pythagorean therom since this is a right triangle.
\(a^2+b^2=c^2\) - Where c is the largest side aka hypotenuse(if you are unsure, look at the side opposite to the right angle)
Substitute the given values to solve for the unknown side
\(9^2+b^2=15^2\)
Expand
\(81+b^2=225\)
Subtract 81 from both sides
\(b^2=144\)
Which means
\(b=+-12\)
but since its a triangle in the first quadrant and can only contain positive values, we disregard the negative solution. So b=12.
Lastly, for perimeter, just add all the side lengths together.
\(P=9+12+15\)
Which means that the perimeter is 36 inches!
Gustavo ha forrado una pared de 12,5 m cuadrados con 50 paneles cuadrados iguales de madera ¿ Cuantos decímetros cuadrados mide cada papel?
Answer:
25 dm²
Step-by-step explanation:
La superficie de nuestra pared tiene 12.5 m²
Si dividimos la superficie por la cantidad de paneles cuadrados, obtenemos la superficie de cada panel
12.5 m² /50 = 0.25 m²
Sabemos que la superficie de un cuadrado se calcula como l²
Convertimos los 0.25 m² a dm² → 0.25 m² . 100 dm² / 1m² = 25 dm²
Esa es la medida de cada papel.
Si calculamos la medida de cada lado será:
√ (25 dm²) = 5 dm
En conclusión un cuadrado con 5 dm de lado tiene 25dm² de superficie
Si convertimos a m² = 0.25 m²
0.25 m² es la medida que cubre 1 panel de papel
para cubrir 12.5 m² necesitariamos (12.5 . 1) /0.25 = 50 paneles.
stuck on this math question for years,! if anyone helps 12 points !!!
Answer:
3
Step-by-step explanation:
There are 4.5 diamonds, which represent 9 hours in total.
This corresponds to 9/3 = 3 circles.
Answer:
3 circles
Step-by-step explanation:
For the pig, it's 4.5 squares. Each square is two hours, and 4.5*2 is 9. Each circle is 3 hours, and 9 divided by 3 is 3. Therefore, the answer is 3 circles.