Step-by-step explanation:
the difference is
1395 - 1200 = $195
how many months until that sums up to $48 750 ?
by checking how often $195 fit into $48,750 :
48750 / 195 = 250
so, it will take 250 months to reach that level.
In ΔRST, r = 530 cm, s = 530 cm, and t=950 cm. Find the measure of ∠T to the nearest 10th of a degree.
The measure of angle ∠T found in the triangle ΔRST found using the law of cosines is 127.3°.
What is meant by the law of cosines?
The law of cosines, commonly referred to as the cosine formula or cosine rule, is a relation in trigonometry that links the lengths of a triangle's sides to the cosine of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.
If ABC is a triangle, then as per the statement of the law of cosines, we have:
c = [tex]\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex]
where,
c = length of side c
a = length of side a
b = length of side b
γ = angle opposite c
Given a triangle, ΔRST
The length of side r = 530 cm
The length of side s = 530 cm
The length of side t = 950 cm
According to the law of cosines,
t² =s² + r² - 2.s.r . cos T
950² = 530² + 530² - 2 * 530 * 530 * cos T
902500 = 280900 + 280900 - 561800 * cos T
cos T = -0.6064
m∠T = 127.3°
Therefore the measure of angle ∠T found using the law of cosines is 127.3°.
To learn more about the law of cosines, follow the link.
https://brainly.com/question/30249060
#SPJ1
3^3x=9^9
Find the answer for x in the following equation...............................
Answer:
x= 6
Step-by-step explanation:
3^3x = 9^9
3^3x = 3^(2×9)
3^3x = 3^18
3x = 18
3x/3 = 18/3
x = 6
Solve for x
Urgent help pleaseee
Show proofs
Using the geometric mean theorem, the value of x is approximately 8.2.
What is the Geometric Mean Theorem or Altitude of a Right Triangle Theorem?The right triangle altitude theorem, also known as the geometric mean theorem, is a basic concept in geometry that connects the altitude of a right triangle to the two line segments it creates on the hypotenuse. According to the theorem, the altitude is equal to the geometric mean of the two line segments.
Using the theorem, we have:
14 = √(x * 24)
14² = 24x
196 = 24x
x = 196/24
x ≈ 8.2
Learn more about the right triangle altitude theorem on:
https://brainly.com/question/14357999
#SPJ1
How do you write an inequality in a word problem?
To indicate that one value is greater than, less than, or equal to another, an inequality in a word problem is written using mathematical symbols like, >, or.
Determine the values that the inequality will compare before using the correct mathematical symbol to express the relationship between them in a word problem. Once the values have been determined, represent the relationship between them using the proper mathematical symbol. For instance, the inequality would be phrased as "x > 5" if the problem stated that "x is greater than 5". Other possible symbols for inequalities are (less than), (less than or equal to), and (more than) (greater than or equal to). It is crucial to always use the appropriate mathematical symbols when creating an inequality since they are needed to indicate the direction of the comparison. Moreover, make sure to incorporate all essential components, including the values being compared, the mathematical symbol, and the equals sign, if required. These procedures can be used to effectively write an inequality in a word problem.
Learn more about inequality here
https://brainly.com/question/28823603
#SPJ4
Write (5-√5)² in the form a + b√5, where a and b are intergers
The required expression is 30 - 10√5 which is in the form a + b√5, where a = 30 and b = -10.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
(5-√5)²
Expanding the above expression,
(5)² + (√5)² - 2 × 5 × √5
25 + 5 - 10√5
30 - 10√5
Compare the above expression to the form a + b√5, and we get
a = 30 and b = -10
Thus, the required expression is 30 - 10√5.
Learn more about Expressions here :
brainly.com/question/21751419
#SPJ9
A restaurant serves pancakes that are made from a powdered pancake mix there is a proportional relationship between the number of scoops and powdered pancake mix and the amount of water needed to make them for every four scoops of mix 1/2 quart of water is needed in for every 10 scoops of mixed one and 1/4 quarts of water are needed per day find the constant of proportionality show every step of your work part be right in equation that represents the relationship show every step of your work part Siri describe how you would grab the relationship use complete sentences party how many quarts of water are needed for 12 scoops of pancake mix (I NEED HELP FAST!!)
Nvm. I got it wrong me self. Srry:(
a basketball court is 46 feet wide and 84 feet long. the court has a border that is 10 feet wide. the cost of a hardwood floor is $9 per square foot. how much will it cost to put a new floor on both the court and its border?
The total cost to put a new floor on both the court and its border is; $61776
How to solve Algebra Word problems?The parameters given are;
Initial length = 84 ft
Initial Width = 46 ft
Now, since the court has a border that is 10 ft wide, it means that we will add 20 ft to the initial length and width to get the new measurements. Thus;
New length = 84 + 20 = 104 ft
New Width = 46 + 20 = 66 ft
Thus;
Area = 104 * 66
Area = 6864 sq.ft
Thus;
Total Cost = 6864 * 9
= $61776
Read more about Algebra Word Problems at; https://brainly.com/question/21405634
#SPJ1
How do you find eigenvalues and eigenvectors on a calculator?
Eigenvalues and eigenvectors can be found using a calculator by solving the equation Ax = λx, where A is a matrix, x is the eigenvector, and λ is the eigenvalue.
To solve this equation, you first need to calculate the determinant of the matrix A, which is written as |A|. If the determinant is not equal to zero, then you can calculate the eigenvalue by dividing the trace of the matrix (the sum of the diagonal elements) by the number of rows or columns of the matrix. The eigenvalues can then be substituted into the equation to solve for the corresponding eigenvector. For example, for a 2x2 matrix A, the eigenvalues can be found by calculating |A| and then solving the equation λ^2 - (trace of A) * λ + |A| = 0. The eigenvectors can then be found by plugging the eigenvalues into the equation Ax = λx and solving for x.
Learn more about Eigenvalues here:
https://brainly.com/question/29749542
#SPJ4
2) Andrew brought packs of biscuit. Create a graph to determine if the
number of packs and price are proportional for each serving size listed in the
table. If the quantities are proportional, what is the constant of
proportionality or unit rate that defines the relationship? Explain how the
constant of proportionality was determined and how it relates to both the
table and graph.
The constant of proportionality of the graph is 8.
What is constant of proportionality?Constant of proportionality is the constant value of the ratio between two proportional quantities.
Given that, a table, of price of the number of pack of biscuits,
We are asked to find the constant of proportionality or unit rate that defines the relationship,
Unit rate is a rate for one of something.
Here, let us consider the number of packets be x and price be y,
x and y are proportional, therefore,
y = kx, here k is the constant of proportionality,
Put y = 8 and x = 1
8 = k
Similarly, if we check for other values we will get 8
[graph is attached]
Hence, the constant of proportionality of the graph is 8.
https://brainly.com/question/29153656
#SPJ9
write 5x10^3 x 9x10^7in stanadred form
Answer:
Step-by-step explanation:
5 x 10^3 x 9 x 10^7 can be written as follows in standard form:
5 x 10^3 = 5 x 10^3 x 1 = 5 x 10^3
9 x 10^7 = 9 x 10^7 x 1 = 9 x 10^7
So,
5 x 10^3 x 9 x 10^7 = (5 x 10^3) x (9 x 10^7) = 45 x 10^(3 + 7) = 45 x 10^10 = 4.5 x 10^11
In standard form, the coefficient (45) is written as a number between 1 and 10, and the exponent (10) gives the number of places the decimal point must be moved. So, 4.5 x 10^11 is written in standard form as 4.5 x 10^11.
Answer:
Step-by-step explanation:
45*10^10=4.5*10^11
100 points Your friend says the solution to 6x+14x-9=4(5x+1) is x=13. Solve 6x+14x-9=4(5x+1). What was your friend's likely error?
The equation 6x + 14x - 9 = 4( 5x + 1 ) has no solution.
What is the solution to the given equation?Given the equation in the question;
6x + 14x - 9 = 4( 5x + 1 )
To solve the equation, first apply distributive property to remove the parenthesis.
6x + 14x - 9 = 4( 5x + 1 )
6x + 14x - 9 = 4 × 5x + 4 × 1
Multiply 4 and 5x
6x + 14x - 9 = 20x + 4 × 1
Multiply 4 and 1
6x + 14x - 9 = 20x + 4
Next, collect and add like terms.
Subtarct 20x from both sides
6x + 14x - 20x - 9 = 20x - 20x + 4
6x + 14x - 20x - 9 = 4
Add 9 to both sides
6x + 14x - 20x - 9 + 9 = 4 + 9
6x + 14x - 20x = 4 + 9
20x - 20x = 4 + 9
20x - 20x = 13
0 = 13
Therefore, there is no solution to the equation.
Learn to solve more equations here: https://brainly.com/question/9236233
#SPJ1
At the corner store, you can buy 5 super-size granola bars for $10. How much does a single super-size granola bar cost?
Answer:
3
Explanation:
Based on the given conditions, formulate: 3
Cross out the common factor: 3
get the result:3
Answer: 3
Answer:
2$
Step-by-step explanation:
10/5=2
Which of the following shows a correct method to calculate the surface area of the cylinder?
cylinder with diameter labeled 3.2 feet and height labeled 3.8 feet
SA = 2π(1.6)2 + 3.2π(3.8) square feet
SA = 2π(1.6)2 + 1.6π(3.8) square feet
SA = 2π(3.2)2 + 3.2π(3.8) square feet
SA = 2π(3.2)2 + 1.6π(3.8) square feet
The following equations should be used to calculate the cylinder's surface area = SA = 2πr² + 2πrh. As a result, the suggested options do not include the correct approach.
How to calculate the surface area of cylinder?Where h is the cylinder's height and r is the cylinder's radius.
The radius is equal to half of the diameter, or 1.6 feet, given that the diameter is 3.2 feet. And it stands 3.8 feet in height.
As a result, the following is the appropriate formula to get the cylinder's surface area:
SA is = 2.16 plus 2.16.3.8 square feet.
When we abbreviate the phrase, we get:
SA = 2.56 + 2.08 square feet
SA = 5.12 plus 12.16 square fee
SA = 17.28 square feet.
As a result, the suggested options do not include the correct approach.
To know more about diameter visit:-
https://brainly.com/question/5501950
#SPJ1
The surface area of the given cylinder is given by the equation:
SA = 2π (1.6)² + 3.2π(3.8) square feet
What is meant by a cylinder?
One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. One of the fundamental three-dimensional shapes in geometry is the cylinder, which has two distant, parallel circular bases. At a predetermined distance from the centre, a curved surface connects the two circular bases. The axis of the cylinder is the line segment connecting the centres of two circular bases. The height of the cylinder is defined as the distance between the two circular bases.
The surface area of the cylinder is the sum of the area of the curvilinear surface and the areas of the top and bottom circular bases.
Now the area of the curved surface = 2πrh
Area of bases = πr² + πr² = 2πr²
where,
r = radius of the cylinder
h = height of the cylinder
Given,
r = 3.2 / 2 = 1.6 feet
h = 3.8 feet
Substituting,
Surface area SA = 2πrh + 2πr² = 2π * 1.6 * 3.8 + 2π (1.6)²
= 2π (1.6)² + 3.2π(3.8) square feet.
Therefore the surface area of the given cylinder is given by,
SA = 2π (1.6)² + 3.2π(3.8) square feet.
To learn more about the cylinder, follow the link.
https://brainly.com/question/23935577
#SPJ1
Write a function where y should vary directly with x, then give a real world example for it.
The function to represent a direct variation relationship between y and x is y = kx.
How to write a function where y should vary directly with x?A direct variation relationship is one where the ratio of two quantities is always constant. In mathematical terms, if y varies directly with x, then there is a constant k such that y = kx.
Below is a function to represent a direct variation relationship between y and x:
y = kx
where k is the constant of proportionality.
A real world example of a direct variation relationship is the relationship between the distance traveled by a vehicle and the time it takes to travel that distance.
If a car travels at a constant speed, then the distance it travels is directly proportional to the time it takes to travel that distance. In mathematical terms, we can write:
distance = rate × time
where the constant of proportionality (rate) is the speed of the car.
Learn more about direct variation on:
https://brainly.com/question/6499629
#SPJ1
Santiago’s total budget for the materials to build the ramp and the foam pit is 3,000. With his current design, will he be over budget or under budget, and by how much?
Total cost to build the ramp is $1467.4. Santiago’s has over budget to build the ramp.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Here,
Area of 2 rectangles is
2(Length×Width)
= 2(20×12)
= 480 square feet
Area of small rectangle = 12×8.5
= 102 square feet
Area of 2 triangles = 1/2×Base×Height
= 1/2 ×20×8.5
= 85 square feet
Total area = 480+102+85
= 667 square feet
Total cost to build the ramp = 667×2.20
= $1467.4
Santiago’s total budget for the materials to build the ramp and the foam pit is $3,000.
Hence, Santiago’s has over budget to build the ramp.
Learn more about the area here:
https://brainly.com/question/27683633.
#SPJ9
"Your question is incomplete, probably the complete question/missing part is:"
The material Santiago will use to build the ramp cost $2.20 per square foot. Find the total cost of materials for the ramp? All sides are; 21.7, 20, 12 for perimeter and 8.5 for the height.
Santiago’s total budget for the materials to build the ramp and the foam pit is 3,000. With his current design, will he be over budget or under budget, and by how much?
Can you help me answer this
Answer: C
Step-by-step explanation:
From tuesday to friday, noel, the supplier delivered 350 yards of ribbon per day. From saturday to monday, he delivered 700 yards of ribbon per day. What was the average length of ribbon that noel delivered per day?.
Noel delivered an average of 500 yards of ribbon per day from Tuesday to Monday.
The central value represents the typical or average value of all the numbers in the set.
From Tuesday to Friday, Noel delivered 350 yards of ribbon per day, a total of 4 days. So, the total length of ribbon that he delivered during this period is
=> 4 * 350 = 1400 yards.
From Saturday to Monday, he delivered 700 yards of ribbon per day, a total of 3 days. So, the total length of ribbon that he delivered during this period is
=> 3 * 700 = 2100 yards.
To find the average length of ribbon that Noel delivered per day, we need to find the total length of ribbon he delivered in both periods and divide it by the total number of days.
The total length of ribbon he delivered in both periods is
=> 1400 + 2100 = 3500 yards.
The total number of days is
=> 4 + 3 = 7 days.
So, the average length of ribbon that Noel delivered per day is
=> 3500/7 = 500 yards.
To know more about average here.
https://brainly.com/question/16956746
#SPJ4
What’s the answer for this problem
Answer:-8
Step-by-step explanation:
f(x)=-3x-2
f(2)=-3(2)-2
-6 - 2=
-8
What does the residual plot tell you about the line of best fit?
The residual plot tell you about the line of best fit, the closer a data point's residual is to 0, the better the fit.
A residual value is a measure of how much a retrogression line vertically misses a data point. Retrogression lines are the stylish fit of a set of data. You can suppose of the lines as pars; a many data points will fit the line and others will miss.
A residual plot has the Residual Values on the perpendicular axis; the vertical axis displays the independent variable.
A residual plot is generally used to find problems with retrogression. Some data sets aren't good campaigners for retrogression, including
Heteroscedastic data( points at extensively varying distances from the line).Data that's non-linearly associated.Data sets with outliers.Learn more about Residual Plot:
https://brainly.com/question/9329287
#SPJ4
let abc~def and the ratio of the respective altitude is 1:3. if the measure of the sides of abc are 3cm,5cm,and 7cm. Then find the measures of the sides of the larger triangle.
Answer:
Since the ratio of the altitudes of the two triangles ABC and DEF is 1:3, we can say that the altitude of triangle DEF is three times that of triangle ABC.
Let's assume the altitude of triangle ABC is h, then the altitude of triangle DEF is 3h.
Now, we know that the area of a triangle is given by the formula:
Area = (1/2) * base * height
Let's apply this formula to both triangles:
Area of triangle ABC = (1/2) * base * altitude
= (1/2) * 7cm * h
= 3.5h cm^2
Area of triangle DEF = (1/2) * base * altitude
= (1/2) * 7cm * 3h
= 10.5h cm^2
Since the two triangles are similar, their areas are proportional to the squares of their corresponding sides. That is:
Area of triangle ABC / Area of triangle DEF = (AB / DE)^2
Substituting the values, we get:
3.5h / 10.5h = (AB / DE)^2
1/3 = (AB / DE)^2
Taking the square root of both sides, we get:
AB / DE = 1 / sqrt(3)
AB = (1 / sqrt(3)) * DE
Now, we know that the sides of triangle ABC are 3cm, 5cm, and 7cm.
Let's assume that the sides of triangle DEF are a, b, and c.
Since the sides of the two triangles are proportional, we can write:
a / 3 = b / 5 = c / 7 = 1 / sqrt(3)
Solving for a, b, and c, we get:
a = 3 / sqrt(3) = sqrt(3) cm
b = 5 / sqrt(3) = (5 * sqrt(3)) / 3 cm
c = 7 / sqrt(3) = (7 * sqrt(3)) / sqrt(3) = 7 cm
Therefore, the measures of the sides of triangle DEF are sqrt(3) cm, (5 * sqrt(3)) / 3 cm, and 7 cm.
Suppose you grow, arrange, and sell flowers. If it costs $2,300 to arrange 500 bouquets,
and it costs $3,100 to arrange 600 bouquets, what is your marginal cost in this range?
Answer:
The marginal cost in this range is $0.50 per bouquet. This can be calculated by finding the difference in total cost of arranging 500 bouquets and 600 bouquets, which is $800, and dividing that by the difference in quantity of bouquets, which is 100. This gives a marginal cost of $0.50 per bouquet.
Are All Fixed Costs Considered Sunk Costs?
No, not all fixed costs are considered sunk costs. Sunk costs are costs that have already been incurred and cannot be recovered, regardless of any future actions.
Fixed costs, on the other hand, are costs that do not vary with changes in output or sales, such as rent or salaries. While some fixed costs may be sunk costs (such as a non-refundable deposit for a lease), other fixed costs may still be recoverable or avoidable with different decisions, and therefore are not considered sunk costs. Sunk costs are only relevant in decision making to the extent that they cannot be recovered and should not be factored into future decisions.
Learn more about Sunk Costs here: brainly.com/question/29674920
#SPJ4
Ex 2: Matt bowled games of 162, 170, and 148. What must he bowl in the next game to
have an average of 155?
Mat must bowl 140 in the next game.
What is Average?In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.
Given:
Matt bowled games of 162, 170, and 148.
Average = 155
let the score on fourth game be x.
So, (162 + 170 + 148 + x)/4 = 155
480 + x= 620
x= 140
Thus, he must bowled 140.
Learn more about average here:
https://brainly.com/question/29073613
#SPJ9
A random sample of 20 seventh graders found that 14 participate in a local contest making duct-tape wallets. Complete parts a through c.
a. If there are 500 seventh graders, write a proportion to estimate the number of seventh graders, n, who participate in the contest.
The proportion
14 n
20 500
=
can be used to estimate the number of seventh graders who participate in the contest.
b. Solve the proportion to estimate the number of seventh graders who participate in the contest.
About seventh graders participate in the contest.
(Type a whole number.)
Answer:
350
Step-by-step explanation:
Using the proportion from part (a):
14/n = 20/500
Cross-multiplying, we get:
20n = 14 × 500
Dividing both sides by 20, we get:
n = 14 × 500 / 20 = 350
Therefore, about 350 seventh graders participate in the contest.
3/4 = 9/n solve for n please help
Answer:
Step-by-step explanation:
12
Select the correct phrase to make the statement about 96 multiplied by 11/8
is true.
The product is between 1/8 and 96
The statement that is true regarding "96 multiplied by 11/8" is: G. The product is greater than 96.
How to Find the Product of Two Numbers?To find the product of 96 and 11/8, we can multiply these two numbers:
96 x 11/8 = (96/1) x (11/8)
= 1056/8
= 132
So the product is 132.
Now we can check which statement is true:
F. The product is less than 11/8. This statement is false, since 132 is greater than 11/8.
G. The product is greater than 96. This statement is true, since 132 is greater than 96.
H. The product is between 11/8 and 96. This statement is false, since 132 is greater than both 11/8 and 96.
I. The product is equal to 96. This statement is false, since we have calculated that the product is actually 132.
The statement that is true is G. The product is greater than 96.
Learn more about the product of two numbers on:
https://brainly.com/question/27860917
#SPJ1
help with this please
expressions that are tested by the if statement are called ______
Expressions that are tested by the 'if' statement is called conditions.
A condition is an expression that evaluates to either 'True' or 'False', and it determines whether the code block within the 'if' statement is executed. The 'if' statement allows the program to make decisions and execute different codes based on whether the condition is 'true' or 'false'. For example, in Python, an 'if' statement might look like this:
if x > 10:
print("x is greater than 10")
In this example, the condition being tested is 'x > 10', which will evaluate as 'True' or 'False' depending on the value of x. If the condition is 'True', then the code block within the 'if' statement (in this case, the print statement) will be executed. If the condition is 'False', then the code block within the 'if' statement will be skipped.
To learn more about python, refer:-
https://brainly.com/question/30427047
#SPJ4
A contact center provides incentives based on the number of sales achieved by its
representatives. Ross made 27 sales in 3 days. His colleague, Mona secured 49 sales in
one week. Who achieved a higher sales target per day? HELPP
Ross achieved a higher sales target.
What is a fraction?A fraction is a number which represents the part of a whole or collection of objects. It is in the from of [tex]\frac{a}{b}[/tex] where a represents the numerator part and the b represents the denominator parts.
A contact center provides incentives based on the number of sales achieved by its representatives.
Ross made 27 sales in 3 days.
Sales per one day =[tex]\frac{27}{3}=9.[/tex]
Mona secured 49 sales in one week
Sales per day =[tex]\frac{49}{7}=7[/tex]
Therefore, in one day sale of Ross is 9 and sale of Mona is 7.
Hence, Ross achieved a higher sales target.
Learn more about fraction here:
https://brainly.com/question/8482939
#SPJ9
Please i need hhelp tysm!!
Answer:
The answer is 4×7×8 units³
Step-by-step explanation:
This is a really easy question. All you have to do is take a look at the prism and you see the height of 4 units, the width of 8 units, and the length of 7 units. To find the volume of a cube you have to multiply the Length, Width, and Height. Therefore, 7×8×4. Also, it doesn't matter the order of the numbers to multiply. Hope this helps!!