Algebraic expressions can be represented with words and vice versa.
The statement that can represent 5x - 4 is: 4 less than the product of 5 and a number
The expression is given as: 5x - 4
By analysis, we have:
5x represents the product of 5 and a number (x)-4 represents 4 less than.Hence, a statement that can represent the expression 5x - 4 is: 4 less than the product of 5 and a number
Read more about expressions at:
https://brainly.com/question/12354223
In this 3x3 square, you can use only numbers from 1-9, to make all the rows and columns equal to 15. Good luck to the person solving this and just know that I and lots more people thank you for solving this!
Answer:
Hello,
Step-by-step explanation:
The well-known magic square. (first apparition in China).
Here it the methode du Marquis de Liouville: (odd square:3,5,7,9,11,13,...)
We are going to put successively the number from 1 to n² (here n=3)
We imagine that the square is put on a sphere;
We begin in the middle of the last line where we put 1
ICI:
We move in direction SE of one case and put le next number
until we reach of multiple of n
After have reached a multiple of n, we move verticaly of one case
and we go to ICI until we reach n²
HELP ME I DONT HAVE MUCH TIME! At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer chili on a hot dog?
900
2,000
2,100
4,000
HERY!
Answer:
The answer is 900
good luck
90% of 83 step-by-step explained
Major went to the Appalachian Fair. The entrance fee was $10, and he purchased 25 tickets. Write an equation to find the price of each ticket if he spent a total of $47.50. You do NOT have to solve it.
Answer:
25x+10=47.50
Step-by-step explanation:
x represents the ticket amount and if he buys 25 tickets then that will be 25 times x. Plus the $10 entrance fee.
The perimeter of a rectangle is 20 cm. The length of the rectangle is 3 cm less than 2 1/4 times the width. Find the dimensions of the rectangle
Answer:
the dimension of the rectangle is 4 cm and 6 cm respectively
Step-by-step explanation:
The computation of the dimension of the rectangle is shown below:
Given that
The perimeter of the rectangle is 20 cm
The width be x
So, the length would be 2 1 ÷ 4 x - 3 i.e. 9 ÷ 4x - 3
Now as we know that
Perimeter of the rectangle = 2 (length + width)
20 = 2 (9 ÷ 4x - 3 + x)
20 = 9 ÷ 2x - 6 + 2x
20 = 4.5x - 6 + 2x
26 = 6.5x
x = 4 cm
Now the length would be
= 9 × 4 ÷ 4 - 3
= 6 cm
Hence, the dimension of the rectangle is 4 cm and 6 cm respectively
Find the values of x and y, given this diagram.
Answer:
Step-by-step explanation:
Find the volume of this triangular prism.
Answer:
7 * 4 * 12 = 336sq cm
Step-by-step explanation:
Hoped this helped
A Mika rode her bike around a trail in the park.
The trail is 3 miles long. Mika rode around the
trail 4 times. How many miles did she travel in all?
Answer:
12 miles
Step-by-step explanation:
Total miles = Length of trail ×
Number of times she rode
Total miles = 3 miles × 4 times
Total miles = 12 miles
Mika traveled a total of 12 miles.
1. The manager of FrozonAir Refrigerator factory notices that on Monday it cost the company a total of $25,000 to build 30 refrigerators and on Tuesday it cost $30,000 to build 40 refrigerators. Find a linear cost function based on this information. What is the daily fixed cost, and what is the marginal cost?
Answer:
The fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500
Step-by-step explanation:
Let
Cost per refrigerator (marginal cost) = r
Fixed costs per day for the factory = f
Total cost = variable cost + fixed cost
Monday
25,000 = 30r + f
Tuesday
30,000 = 40r + f
Using Monday,
f = 25000 -30r
Substitute f = 25000 - 30r into Tuesday
30,000 = 40r + f
30,000 = 40r + (25,000 -30r)
30,000 = 40r + 25,000 - 30r
Collect like terms
30,000 - 25,000 = 40r - 30r
5,000 = 10r
Divide both sides by 10
r = 5,000 / 10
= 500
r = $500
Substitute r= 500 into Monday equation
f = 25,000 -30r
= 25,000 - 30(500)
= 25,000 - 15,000
= 10,000
f = $10,000
Therefore, the fixed costs per day for the factory is $10,000 and marginal cost of one refrigerator for $500
What would be the volume of Carlo’s building block? Please help if can!
Answer:
b) 490 cm^3
Step-by-step explanation:
large portion block = 10x6x7 = 420
small portion block = 2x5x7 = 70
420+70 = 490 cm^3
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them. The force is 0.65 Newtons when the distance between the objects is 4 metres. Work out F (rounded to 2 DP) when d = 7 metres.
Applying the relation between the force and the distance between the two objects , the force between the objects when the distance between the objects is 7 meters is 0.21 N.
What is force?Force is a physical quantity that describes the interaction between two objects. It is the push or pull exerted on an object that changes or tends to change its motion. Force is measured in units of Newtons (N) and it can be a vector quantity, meaning that it has both magnitude and direction.
What is the unit of measurement for force and why is it important in physics?The unit of measurement for force is the Newton (N). It is important in physics because it is one of the fundamental quantities used to describe the motion and interactions of objects. Forces are responsible for changes in an object's motion, such as acceleration or deceleration, and they play a key role in many physical phenomena, including gravity, friction, and tension.
As given in the question , the force is 0.65 Newtons when the distance between the objects is 4 meters.
Let the force when the distance is 7 meters be F2.
So using the relation between the force and the distance , i.e Force is inversely proportional to the square of distance between the objects.
\(\frac{F2}{0.65} =\frac{4^{2} }{7^{2} }\)
Therefore, F2 = 0.21 Newtons
To learn more about Force visit:
https://brainly.com/question/13191643
#SPJ1
Jordan is saving to buy a pair of shoes. He already has saved $30. If the shoes cost $75, write an inequality to determine how much more money he needs to save so he can buy the shoes
The inequality to determine how much more money he needs to save so he can buy the shoes is x ≥ $45
Let x be the amount of money Jordan still needs to save to buy the shoes.
The total cost of the shoes is $75, and Jordan has already saved $30. Therefore, the amount of money he still needs to save is:
x = $75 - $30
Simplifying the right side:
x = $45
So, the inequality that represents how much more money Jordan needs to save is:
x ≥ $45
This means that Jordan needs to save at least $45 more to be able to buy the shoes.
Learn more about inequality here
brainly.com/question/30228778
#SPJ4
Calculate the area of the shape below:
6 in
6 in
12 in
O 54 in?
0 432 in?
O 216 in
O 108 in?
Answer:
54
Step-by-step explanation:
The square in the middle = 36, as 6x6=36
There are 2 triangles on each side of the center square.
Since the base of the trapezoid is 12, and the base of the square is 6, that leaves 3 for the base of each triangle.
3x6=18x1/2 (As a triangle's area is b (base) x h (height) x (one half) 1/2
18x1/2 is 9.
Each triangle equals 9.
36+9+9=54
The final answer is 54
A recent study found that people with insomnia are more likely to experience heart problems than people without insomnia.
a. What are the explanatory and response variables in this study?
b. Explain why amount of caffeine consumed might be a confounding variable in this study by explaining how caffeine consumption fits the two properties of confounding variables given in the box on page.
a. The explanatory variable in this study is insomnia and the response variable is the likelihood of experiencing heart problems. b. Amount of caffeine consumed could be a confounding variable in this study because it fits the two properties of confounding variables.
In this study, the explanatory variable is "insomnia" and the response variable is "heart problems." A confounding variable, such as "amount of caffeine consumed," might affect the relationship between insomnia and heart problems. Caffeine consumption fits the two properties of confounding variables as it is related to both the explanatory variable (insomnia) and the response variable (heart problems). Consuming more caffeine can lead to insomnia, and it can also increase the risk of heart problems independently. Therefore, caffeine consumption could be a confounding variable in this study, potentially influencing the observed relationship between insomnia and heart problems.
To learn more about confounding variables click here: brainly.com/question/30765416
#SPJ11
Four friends went to a concert and paid $12 total for parking and $x per ticket. The expression $4x + $12 represents the total cost paid of all four friends. Factor 4x + 12.
Answer:4
Step-by-step explanation:
Answer:
The answer to this is 4 (x+3) I know this because I just had this question in my class
Step-by-step explanation: Have a good day:)
(c) In a test of a new package design, you drop a carton of a dozen eggs from a height of 1 foot and count the number of broken eggs
The number of broken eggs will give you an idea of how well the new package design protects the eggs from impacts. If there are no broken eggs, the package design may be effective. However, if there are several broken eggs, the package design may need to be improved to provide better protection.
When testing a new package design, it is important to simulate real-world conditions as much as possible. In this case, dropping a carton of a dozen eggs from a height of 1 foot is a good way to simulate the types of impacts that the package may experience during shipping and handling.
To conduct the test, you will need to follow these steps:
Obtain a carton of a dozen eggs and the new package design.Place the eggs inside the package according to the manufacturer's instructions.Find a suitable location to drop the package from a height of 1 foot. Make sure the area is clear and there is nothing that could interfere with the drop or damage the package.Drop the package from a height of 1 foot.Open the package and examine the eggs. Count the number of broken eggs.
The number of broken eggs will give you an idea of how well the new package design protects the eggs from impacts. If there are no broken eggs, the package design may be effective.
However, if there are several broken eggs, the package design may need to be improved to provide better protection.
To know more about package design, refer here:
https://brainly.com/question/28527314#
#SPJ11
Find the area. Show your work.
11 What is the value of k if the mid-point of the line joining (1 – k, 4) and (2, k + 1) is (-k, k)?
Answer:
k = -3
Step-by-step explanation:
Given
(-k, k) is the midpoint of the line joining (2, k + 1) and (1 - k, 4)Solving
Equate the midpoint and endpoints using the Midpoint FormulaLet's equate the x parts-k = 2 + 1 - k / 2-2k = 3 - k-k = 3k = -3Bearing........find the marked angles f and g
Answer:
Step-by-step explanation:
g is a central angle for arc PQ
= 2 * segment angle of arc PQ
= 2 * <PRQ
= 2 * (180 - 114)
= 2 * 66
= 132 degree
Drawing is a little confusing about f and assuming f is <PQO
<PQO = <QPO because OPQ is an isosceles triangle
The sum of interior angles of a triangle = 180 degree
f + f + g = 180
2f = 180 - 132 = 48
f = 24 degree
Edit: Thank you, fieryanswererft, for pointing out my mistake!
Answer:
g = 132° , f = 24°
Step-by-step explanation:
∠ PRQ = 180° - 114° = 66°
the central angle g is twice the angle subtended at the circumference on the same arc PQ , then
g = 2 × ∠ PRQ = 2 × 66 = 132°
Δ POQ is isosceles , 2 congruent sides , the radii OP and OQ
The base angles of the triangle are congruent , then
f = \(\frac{180-132}{2}\) = \(\frac{48}{2}\) = 24°
Help pls and thank you
The approximate height of kite above the ground will be 150 feet.
The correct answer is an option (b)
Let us assume that in the attached diagram of right triangle the angle A represents the ideal angle to fly a kite and this angle measures 45 degrees.
Here, the hypotenuse of right triangle measures 225 ft
We need to find the height of the kite above the ground.
i.e., we need to find the length of side opposite to angle A.
Let us assume that x represents this height.
We know that in right triangle, the sine of angle θ is nothing but the ratio of opposite side of angle θ to the hypotenuse.
Consider the sine of angle A
sin(A) = opposite side of angle A / hypotenuse
sin(45°) = x / 225
We know that from the standard trigonometric table the value of sin(45°) is \(\frac{1}{\sqrt{2} }\)
Substitute this value in above equation we get,
\(\frac{1}{\sqrt{2} }\) = x / 225
We solve this equation to find the value of x.
x = \(\frac{225}{\sqrt{2} }\)
x = 159.09 ft
x ≈ 150 ft
Therefore, the correct answer is an option (b)
Learn more about the sine of angle here:
https://brainly.com/question/3827723
#SPJ1
I need some help ? Does anyone know this:)I’m new too this thats why im asking loll
Answer:
6
Step-by-step explanation:
Answer: 9 in
Step-by-step explanation: area = (base x height)/ 2 You multiply base (6) times height (3), and then divide it by 2.
Aline passes through the points (-1, 4) and (2,-2). What is the equation of this line?
Answer:
y= -2x+2
Step-by-step explanation:
how to calculate cube root without using prime factorization? and how to calculate ³√60? or something else that has a decimal result?
The cube root of 60 is 3.87 approximately.
Step by step solution:
We can calculate the cube root by Halley's method:
The formula is \(\sqrt[3]{a} = x ((x^{3} + 2a)/(2x^{3} + a))\)
where,
a = number whose cube root is being calculated
x = integer guess of its cube root.
Here a = 60,
Suppose x as 3
[∵ 3³ = 27 and 27 is the nearest perfect cube that is less than 60]
⇒ x = 3
Therefore,
∛60 = 3 (3³ + 2 × 60)/(2 × 3³ + 60)) = 3.87
⇒ ∛60 ≈ 3.87
Therefore, the cube root of 60 is 3.87 approximately.
Here , ∛60 is irrational because it cannot be expressed in the form of p/q where q ≠ 0.
Therefore, the value of the cube root of 60 is an irrational number.
Learn more about cube root :https://brainly.com/question/27863878
#SPJ1
The scale factor of two similar polygons is given. Find the ratio of their perimeters and the ratios of their areas.
1) 3:1
2) 7/4
The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,
To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.
1) So, perimeter = 3:1
The ratio of areas between two similar polygons is equal to the square of the scale factor.
Since the scale factor is 3:1, the ratio of their areas is:
(Ratio of areas) = (Scale factor)² = 9/1 = 9:1
Similarly,
2) Perimeter = 7:4
Area = 49/16
Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
Learn more about scale factors click;
https://brainly.com/question/29464385
#SPJ1
Help please!
Given f(x)=8x−9
a. Find f(3y−1)=8(3y−1)−9=
b. If f(x)=−23, find the value of x.
Answer:
a: f= 24y−17 /3y−1
b: x=−23
Step-by-step explanation:
A company makes cell phones in two different factories, one abroad and one more local. At the factory abroad it takes 30 hours to produce the cellphone and at the local factory it takes 20 hours. The costs of producing these cell phones are $20 each at the factory abroad and $60 each at the local factory. The company's total labor force can provide 6000 hours of labor each week and total resources are $12,000 each week. How many cell phones should the company make at each factory to maximize the amount of phones produced?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of phones produced abroad and y represent the number of phones produced locally.
The company can provide 6000 hours of labor each week and it takes 30 hours to produce the cellphone abroad and at the local factory it takes 20 hours, hence:
30x + 20y = 6000 (1)
Also, there is a total resource of $12000 each week, the cost of producing abroad is $20 and the cost of producing locally is $60. Hence:
20x + 60y = 12000 (2)
Multiply equation 1 by 3 and subtract equation 2 from the result. This gives:
70x = 6000
x = 600/7 ≈ 86
Put x = 86 in equation 1:
30(86) + 20 y = 6000
20y = 3420
y = 171
86 phones should be produced abroad and 171 phones locally
what is the relationship between student's t distribution and the standard normal distribution? student's t will approach to standard normal distribution as the sample size approachs 0 student's t will approach to standard normal distribution as the sample size approachs infinite standard normal distribution will approach to student's t distribution as the sample size approachs 0 standard normal distribution will approach to student's t distribution as the sample size approachs infinite
The correct relationship between Student's t-distribution and the standard normal distribution is option B: as the sample size approaches infinity, the Student's t-distribution approaches the standard normal distribution.
The sample mean's estimation of the population mean is less precise and the sample mean's distribution is more erratic when the sample size is small. Because the distribution of t-values is more skewed as a result, the student's t-distribution has thicker tails than the traditional normal distribution.
The sample mean's distribution, however, narrows as sample size increases, making it a more precise reflection of the population mean. The student's t-distribution resembles the traditional normal distribution as a result of the narrowing of the t-value distribution.
For the ordinary normal distribution to accurately approximate the student's t-distribution in practice, a sample size of 30 or more is frequently thought to be sufficient.
To know more about T-distribution, refer:
https://brainly.com/question/16994704
#SPJ4
Correct question:
what is the relationship between student's t distribution and the standard normal distribution?
student's t will approach to standard normal distribution as the sample size approachs 0.
student's t will approach to standard normal distribution as the sample size approachs infinite
standard normal distribution will approach to student's t distribution as the sample size approachs 0
standard normal distribution will approach to student's t distribution as the sample size approachs infinite.
Question
Bird-watchers record the types of birds they see or hear. The graph shows results from a location in Canada. Write an inequality that represents the range in the percents of bird-watchers, $x$ , who saw or heard a Black-and-white Warbler from July 1 to September 15.
Answer:
5<x<15
Step-by-step explanation:
from 7.1 10 9.15
on about 8.22
the maximum percent is 15
therefor...
5<x<15
436486346349234x98^5/5679ex45+423234723+sqaure root of 34248234824827468246278 If you answer, your are a god.
Answer:
your mom
Step-by-step explanation:
get rekt
Can i have brainliest
In ΔVWX, x = 5. 3 inches, w = 7. 3 inches and ∠W=37°. Find all possible values of ∠X, to the nearest 10th of a degree
To find the possible values of ∠X in triangle VWX, we can use the Law of Sines, which states:
sin(∠X) / WX = sin(∠W) / VX
Given that VX = 7.3 inches and ∠W = 37°, we can substitute the values into the equation:
sin(∠X) / 5.3 = sin(37°) / 7.3
Now, we can solve for sin(∠X) by cross-multiplying:
sin(∠X) = (5.3 * sin(37°)) / 7.3
Using a calculator to evaluate the right-hand side:
sin(∠X) ≈ 0.311
To find the possible values of ∠X, we can take the inverse sine (sin^(-1)) of 0.311:
∠X ≈ sin^(-1)(0.311)
Using a calculator to find the inverse sine, we get:
∠X ≈ 18.9°
Therefore, the possible values of ∠X, to the nearest tenth of a degree, are approximately 18.9°.
Learn more about Law of Sines here:
https://brainly.com/question/30248261
#SPJ11