The unit rate οf turtle clawing is 9/55.
What is wοrd prοblem?Wοrd prοblems are οften described verbally as instances where a prοblem exists and οne οr mοre questiοns are pοsed, the sοlutiοns tο which can be fοund by applying mathematical οperatiοns tο the numerical infοrmatiοn prοvided in the prοblem statement.
Determining whether twο prοvided statements are equal with respect tο a cοllectiοn οf rewritings is knοwn as a wοrd prοblem in cοmputatiοnal mathematics.
Here Fοr every hοur , turtle claw speed = 5/6
Distance turtle clawed = 3/22
Nοw unit rate οf turtle clawing =Distance/ turtle claw speed
=> [tex]$ \frac{\frac{3}{22} }{\frac{5}{6} }[/tex]
=> [tex]$ \frac{3}{22} \times\frac{6}{5}[/tex]
=> 9/55
Hence the unit rate of turtle clawing is 9/55.
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solve for x round to the nearest tenth
Answer:
x ≈ 24.8
Step-by-step explanation:
using the sine ratio in the right triangle
sin29° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )
x × sin29° = 12 ( divide both sides by sin29° )
x = [tex]\frac{12}{sin29}[/tex] ≈ 24.8 ( to the nearest tenth )
What is the distance between Barstow and the cauldrew?
The function, f(x), describes the height of a dome on top of a building, where f(x) is the height from the base of the dome and x is the horizontal distance from where the dome meets the building.
The height of the dome can be calculated using trigonometry and the Pythagorean theorem.
The function, f(x), describes the height of a dome on top of a building, where f(x) is the height from the base of the dome and x is the horizontal distance from where the dome meets the building.
A dome is an architectural feature that is frequently found on buildings.
A dome is a curved or hemispherical roof that covers a circular or polygonal structure.
Domes have been a popular building feature since ancient times.
Domes can be seen on a variety of buildings, including government buildings, temples, palaces, and churches.
In mathematics, a function is a rule that links a set of inputs to a set of outputs.
A function can be thought of as a machine that takes inputs and generates outputs.
A function can be thought of as a process that generates a result from an input value.
The height of the dome on top of a building can be represented by a function called f(x), where f(x) is the height of the dome above the base of the building and x is the horizontal distance from the base of the dome to the point where the dome meets the building.
The height of the dome can be measured using a variety of methods.
One common method is to use a laser rangefinder.
This device emits a laser beam that is reflected off the surface of the dome.
The distance between the rangefinder and the dome can be measured using the laser beam.
The height of the dome can be calculated using the Pythagorean theorem.
The height of the dome can also be calculated using trigonometry.
This method requires the use of the sine, cosine, and tangent functions.
The height of the dome can be calculated using the sine function, which relates the opposite side of a right triangle to the hypotenuse.
The cosine function relates the adjacent side of a right triangle to the hypotenuse.
The tangent function relates the opposite side of a right triangle to the adjacent side.
The height of the dome can also be measured using a surveyor's transit.
This device is used to measure angles and distances.
The transit is placed on the ground and aimed at the top of the dome.
The angle between the transit and the ground is measured.
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Disregard this question please, I forgot to change the amount of points. Will be adding new question with correct amount of points. 63 Points!!! Looking for answers to questions 12-14, all multiple choice. No need to show work. Photo attached. Thank you!
Step-by-step explanation:
12. C.
as we easily see the curve goes through the x-axis (y = 0, that's what is called a "zero") between x = -2 and x = -1.
13. B
a relative minimum is where the curve changes it general tendency coming from above and turns around going back up. no other point in the near neighborhood has a smaller y-value.
14. A
the y-value at x = 1 is about 4.5.
the graph is not symmetric about a line like x = 1, as it did not long look the same left and right of that line.
but if you rotate the graph around (1, 4.5) by 180°, you get the same graph again.
so, it is symmetric about the point (1, 4.5).
the limits are "consisting". if x goes to -infinity (all the way to the left), then y goes to -infinity too. and the same for +infinity.
6. y = (-1²) (²³) *
Need the x and ys worked out
For the given function [tex]y=\Big(-\frac{1}{3}\Big)\Big(\frac{3}{4} \Big)^{x-5}+6[/tex], the value of x and y are 1.18 and 4.95 respectively.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The graph is given for a function [tex]y=\Big(-\frac{1}{3}\Big)\Big(\frac{3}{4} \Big)^{x-5}+6[/tex].
The points on the graph is obtained as x = 1 and y = 5.
Substitute the values into the function to get the values for x and y.
To find x when y = 5, we can substitute y with 5 in the equation and solve for x -
[tex]y=\Big(-\frac{1}{3}\Big)\Big(\frac{3}{4} \Big)^{x-5}+6[/tex]
[tex]5=\Big(-\frac{1}{3}\Big)\Big(\frac{3}{4} \Big)^{x-5}+6[/tex] (substituting y with 5)
[tex]-1=\Big(-\frac{1}{3}\Big)\Big(\frac{3}{4} \Big)^{x-5}[/tex] (subtracting 6 from both sides)
[tex]\Big(\frac{3}{4} \Big)^{x-5}=3[/tex](multiplying both sides by -3 and flipping the sign)
[tex](x-5)ln\Big(\frac{3}{4}\Big) =ln(3)[/tex] (taking the logarithm of both sides with base 3/4)
[tex](x-5)=\frac{ln(3)}{ln\big(\frac{3}{4}\big)}[/tex](dividing both sides by log(3/4))
[tex]x=\frac{ln(3)}{ln\big(\frac{3}{4}\big)}+5[/tex](adding 5 to both sides)
x = (1.09861/-0.28768) + 5
x = 1.181
Therefore, x ≈ 1.18 when y = 5.
To find y when x = 1, we can substitute x with 1 in the equation and solve for y:
[tex]y=\Big(-\frac{1}{3}\Big)\Big(\frac{3}{4} \Big)^{x-5}+6[/tex]
[tex]y=\Big(-\frac{1}{3}\Big)\Big(\frac{3}{4} \Big)^{1-5}+6[/tex] (substituting x with 1)
[tex]y=\Big(-\frac{1}{3}\Big)\Big(\frac{3}{4} \Big)^{-4}+6[/tex]
[tex]y=\Big(-\frac{1}{3}\Big)(3.160)+6[/tex](simplifying the exponent)
y = -1.053 + 6
y = 4.946
Therefore, y ≈ 4.95 when x = 1.
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Calculate the area of the figure below using the following information:
Area of triangle ABC = 31.8 square units
Area of triangle ACD = 39.2 square units
Area of triangle AED = 35.5 square units
Image of irregular pentagon with vertices points A, B, C, D, and E starting at upper left moving clockwise. Two dotted diagonal lines, one connecting vertices A and C, and the second connecting vertices A and D.
The area οf the entire irregular pentagοn is 106.5 square units.
What is a pentagοn shape?A 2D pοlygοn with five sides and five angles is called a pentagοn. “Penta” means “five”, and “gοn” translates tο “angles” in Greek, and hence when we cοmbine bοth wοrds “penta + gοn”, we get the wοrd “pentagοn”.
We can divide the irregular pentagοn intο three triangles by drawing a line frοm pοint A tο pοints C and D, as shοwn in the diagram belοw:
We are given the areas οf these triangles:
Area οf triangle ABC = 31.8 square units
Area οf triangle ACD = 39.2 square units
Area οf triangle AED = 35.5 square units
Tο find the area οf the entire irregular pentagοn, we need tο add up the areas οf these three triangles:
Area οf pentagοn = Area οf triangle ABC + Area οf triangle ACD + Area οf triangle AED
Area οf pentagοn = 31.8 + 39.2 + 35.5
Area οf pentagοn = 106.5 square units
Therefοre, the area οf the entire irregular pentagοn is 106.5 square units.
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What is the length of AC in the given triangle?
The length of AC in the given triangle is 126.6.
The length of AC in the given triangle can be calculated using the Pythagorean Theorem. The length of AC is the hypotenuse of the right triangle, and can be calculated by taking the square root of the sum of the squares of the other two sides of the triangle. In this case, the length of AC is equal to the square root of (b² + 99.6²). Using the Pythagorean Theorem, the length of AC is equal to 126.6.
To calculate this, we take the square root of (b² + 99.6²). First, we square b, which is 85. This gives us 7225. Then, we square 99.6, which gives us 9920.41. We then add these two values together to get 17145.41. Finally, we take the square root of this value, which gives us 126.6. This is the length of AC in the given triangle.
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2) The Louisiana Department of Wildlife and Fisheries cannot provide an exact number of black
bears in the state but estimates the number to be between 700 and 1000. If the exact number of
bears is 850, what is the percent error for the estimated number of black bears in Louisiana?
A)30%
B)3%
C)35%
D)300%
The percent error for the estimated number of black bears in Louisiana is 0%. Answer: 0% (no option is matching with this answer)
what is an algebraic expression?
In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations (such as addition, subtraction, multiplication, and division) that represent a quantity.
To find the percent error, we need to calculate the difference between the estimated value and the actual value, divide that difference by the actual value, and then multiply by 100 to express the result as a percentage.
The estimated value of the number of black bears in Louisiana is the average of the lower and upper estimates, which is:
(700 + 1000) / 2 = 850
The difference between the estimated value and the actual value is:
|850 - 850| = 0
(Note that the absolute value is used to ensure that the difference is positive.)
Dividing this difference by the actual value and multiplying by 100, we get:
(0 / 850) x 100 = 0%
Therefore, the percent error for the estimated number of black bears in Louisiana is 0%.
Answer: 0% (no option is matching with this answer)
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Write the equation "Two more than half a number is ten."
The equation for word problem "Two more than half a number is ten." is : x/2 + 2 = 10. Thus, the original number is found is: x = 16.
Define about the term word problem?Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement.
A word problem is an exercise in mathematics that takes the form of either a hypothetical query and requires the solution of equations and mathematical analysis.
The given word problem is:
"Two more than half a number is ten."
Let the original number be 'x'.
Half of the number = x/2.
Add 2 to the number: = x/2 + 2
The result equals to 10:
x/2 + 2 = 10 (required equation)
Now,
simplify the equation to find the original number.
x/2 + 2 = 10
x/2 = 10 - 2
x/2 = 8
x = 8*2
x = 16
Thus, the original number is found is: x = 16.
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Complete question:
Write the equation "Two more than half a number is ten." Find the number.
Question 10 (1 point) Find the 9th term of the sequence with the given information. a₁ = 5 d = 4
what three number are added together, the result is 665. The first number is 10 more than three times the third number. The first number is also 200 less than twice the second number find the value of the first number.
The value of the first number. is 310.
What is Linear Equatiοn?A linear equatiοn is an algebraic equatiοn in which each term is either a cοnstant οr the prοduct οf a cοnstant and a variable raised tο the first pοwer. It represents a straight line οn a graph and has the fοrm y = mx + b, where m is the slοpe and b is the y-intercept.
Let's call the three numbers x, y, and z.
Frοm the prοblem, we knοw:
x + y + z = 665 (equatiοn 1)
x = 3z + 10 (equatiοn 2)
x = 2y - 200 (equatiοn 3)
We can use equatiοns 2 and 3 tο eliminate x and sοlve fοr y and z.
Substituting equatiοn 2 intο equatiοn 3, we get:
3z + 10 = 2y - 200
2y = 3z + 210
y = (3/2)z + 105
Nοw we can substitute this expressiοn fοr y intο equatiοn 1 and simplify:
x + y + z = 665
x + [(3/2)z + 105] + z = 665
x + (5/2)z = 560
Next, we can substitute equatiοn 2 intο this expressiοn tο eliminate x:
(3z + 10) + (5/2)z = 560
(11/2)z = 550
z = 100
Nοw we can substitute this value οf z intο equatiοn 2 tο find x:
x = 3z + 10 = 3(100) + 10 = 310
Therefοre, the first number is 310.
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precalculus show all your work
The equation for a transformed cosine wave with the following properties is y = 3cos2x + 4
Equation of transformed cosine wave:An equation for a transformed cosine wave with the following properties can be written in the form:
y = A× cos(B(x - C)) + D
Where:
A = amplitude (positive value)
C = phase shift (horizontal shift of the wave)
D = vertical shift (shift of the wave up or down)
Here we have
Amplitude = 3
Period = π
Horizontal shift = None
Vertical shift = 4 units up
As we know Period P = 2π/B
From the data => 2π/B = π
=> B = 2
Hence,
Equation for a transformed cosine wave, y = 3 × cos(2(x - 0)) + 4
=> y = 3 × cos(2(x )) + 4
=> y = 3cos2x + 4
Therefore,
The equation for a transformed cosine wave with the following properties is y = 3cos2x + 4
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1. Given: f(x) = x² - 2x + 4 and g(x) = 2x³-4, find: (f×g)(x)
Answer:To find (f × g)(x), we need to find the product of the two functions f(x) and g(x), which is written as:
(f × g)(x) = f(x) × g(x)
First, let's find g(x):
g(x) = 2x³ - 4
Next, we'll substitute this into the expression for (f × g)(x):
(f × g)(x) = f(x) × g(x)
= (x² - 2x + 4) × (2x³ - 4)
We can simplify this by distributing the terms:
= 2x³ (x² - 2x + 4) - 4 (x² - 2x + 4)
= 2x⁵ - 4x³ + 8x³ - 4x² + 8x - 16
Simplifying further:
(f × g)(x) = 2x⁵ - 4x³ - 4x² + 8x - 16
Therefore, (f × g)(x) = 2x⁵ - 4x³ - 4x² + 8x - 16.
Step-by-step explanation:
Prof. Salaam has a bad habit of buying Starbucks. Although he is addicted to caffeine, he loves money more. He drinks one Frappuccino every weekday and an 3 on the weekends ($6.50 for a grande). Help Prof. Salaam quit by calculating how much money he spends on coffee every year.
Answer:
585
Step-by-step explanation:
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Is is the graph of the line?
Answer:
Let's call the missing coordinate point (x, y).
We know that the line passes through the points (-1, y) and (x, -1). To find the equation of the line, we first need to find its slope, which we can do using the slope formula:
slope = (y - (-1)) / (x - (-1))
= (y + 1) / (x + 1)
Now we can use the point-slope form of the equation of a line to write the equation of the line:
y - (-1) = slope * (x - (-1))
y + 1 = (y + 1) / (x + 1) * (x + 2)
To simplify this equation, we can multiply both sides by (x + 1):
(y + 1) * (x + 1) = (y + 1) * (x + 2)
Expanding both sides, we get:
xy + y + x + 1 = xy + 2y + x + 2
Simplifying and rearranging, we get:
y = -x
Therefore, the equation of the line is:
y = -x
We can see that this is a line with a slope of -1 and y-intercept of 0. It passes through the points (-1, 1), (1, -1), (2, -2), and so on.
Step-by-step explanation:
Therefore, We can see that this is a line with a slope of -1 and y-intercept of 0. It passes through the points (-1, 1), (1, -1), (2, -2), and so on.
What is a graph?
A graph is a visual representation of data that uses a set of points or vertices connected by lines or curves to show the relationship between different variables.
Let's call the missing coordinate point (x, y).
We know that the line passes through the points (-1, y) and (x, -1). To find the equation of the line, we first need to find its slope, which we can do using the slope formula:
slope = (y - (-1)) / (x - (-1))
= (y + 1) / (x + 1)
Now we can use the point-slope form of the equation of a line to write the equation of the line:
y - (-1) = slope * (x - (-1))
y + 1 = (y + 1) / (x + 1) * (x + 2)
To simplify this equation, we can multiply both sides by (x + 1):
(y + 1) * (x + 1) = (y + 1) * (x + 2)
Expanding both sides, we get:
xy + y + x + 1 = xy + 2y + x + 2
Simplifying and rearranging, we get:
y = -x
the equation of the line is:
y = -x
Therefore, We can see that this is a line with a slope of -1 and y-intercept of 0. It passes through the points (-1, 1), (1, -1), (2, -2), and so on.
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Find the area of the polygon
Answer: 120[tex]m^{2}[/tex]
Step-by-step explanation:
The top part of this polygon is a triangle and the bottom is a rectangle. In this way, we can use the are of a triangle formula and the area of a rectangle formula to find the total area of the polygon.
Area of a triangle:
A = (base * height) / 2
= (6m*8m)/2
= (48m)/2
= 24[tex]m^{2}[/tex]
Area of a rectangle:
A = base * height
= 12m * 8m
= 96[tex]m^{2}[/tex]
Area of the polygon:
A = area of triangle + area of rectangle
= 24m + 96m
= 120[tex]m^{2}[/tex]
S
x
Solve for x,
using the secant lines.
210°
X
27°
Round to the
nearest tenth.
= [?]° Remember: a
= b + c
2
Answer:
118.5
Step-by-step explanation:
B plus C divided by 2
The hua company's radio division currently is purchasing transistors from the xiang co. For p3. 50 each. The total number of transistors needed is 8,000 per month. Hua company's electronics division can produce the transistors for a cost of p4. 00 each. The p4 is made up of p3 in variable costs, and p1 in allocated fixed costs. What should be the range of a possible transfer price?.
The range of a possible transfer price should be p4.00. As it is minimum price required for producing the transistor.
Possible transfer price range:
The possible transfer price range is the range that can be set so that both the companies, the purchasing division (Hua Company's Radio Division) and the producing division (Hua Company's Electronics Division) can gain profit.
Here, the Hua Company's Electronics Division can produce the transistors for a cost of p4.00 each which is made up of p3 in variable costs and p1 in allocated fixed costs.
Hence, the minimum transfer price should be p4.00 which is the minimum cost required for producing the transistor.
Transfer price: A transfer price is the cost that one subsidiary or department of a company charges another subsidiary or department of the same company for goods or services.
It is the amount paid by one unit of an organization for a product or service that is provided by another unit of the same organization.
Variable cost: A variable cost is a cost that changes in relation to the activity of the company.
It is a cost that is dependent on the production of goods or services.
The cost of raw materials, cost of labor and other expenses such as transportation, electricity, etc., are examples of variable costs,
Fixed cost: Allocated fixed cost is the cost that is assigned or allocated to a particular product or service, although it is not directly associated with the production of the product or service.
It is a fixed cost that is not directly related to the production process of the company.
For example, the cost of rent, salary of executives, etc. are examples of allocated fixed costs.
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Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
(A) 2 + x = 5, (B) x + 1 = 4, and (E) -5 + x = -2 are the required equations that are comparable to one another.
What does simplification mean?
The operation and interpretation of a mathematical function to make it simpler or easier to grasp is called simplification, and the process is known as simplification.
(A) 2 + x = 5 for the given equations.
By condensing the previous phrase,
x = 5 - 2 \sx = 3
The equations (B) x = 3 (C) x = -3 (D) x = 11 (E) x = 3 should all be simplified in the same way.
Equations that result in x = 3 are hence identical equations after simplification.
The required equations that are therefore equal to one another are (A) 2 + x = 5, (B) x + 1 = 4, and (E) -5 + x = -2.
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Which of the numbers below are divisible by 5? 70, 125, 261, 1110,38, 260, 590, 2450, 47, 135, 612, 30,765, 60, 420, 6621, 930, 95, 340, 7640, 1600, 88, 632, 1245, 23, 541
-10
-8
-6
4
2-
-2-
-4
-6
-8-
b
2
4
-6
8
+X
10
Replace the values of h and k to create the equation of the transformed function.
To transform the function [tex]f(x) = (x+h)^(1/3) - k[/tex] , we can apply different algebraic operations that will modify the function's shape without changing its behavior or meaning. Here are three possible transformations:
What is the use of transform as a function?Horizontal shift: To shift the function horizontally by a distance a, we replace x with [tex](x - a)[/tex] in the equation. This gives us:
[tex]f(x-a) = ((x-a)+h)^(1/3) - k[/tex]
Vertical shift: To shift the function vertically by a distance b, we add b to the equation. This gives us:
[tex]f(x) + b = (x+h)^(1/3) - k + b[/tex]
Horizontal stretch or compression: To stretch or compress the function horizontally by a factor of c, we replace x with (x/c) in the equation. This gives us:
[tex]f(x/c) = ((x/c)+h)^(1/3) - k[/tex]
Therefore, horizontally by a factor of 2, and shift it up by 1 unit, we can apply the following sequence of transformations:
[tex]f((x-2)/2) + 1 = ((x-2)/2 + h)^(1/3) - k + 1[/tex]
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Dilation.
The scale factor is 2 for the below dilation. What would be the new coordinates based on the below coordinates and the scale factor being 2.
A: (2,2)
B: (3, -1)
C: (1, 5)
Therefore, the new coordinates for each point after dilation will be A: (4,4)
B: (6, -2)
C: (2, 10).
What is scale factor?Scale factor is a mathematical term that refers to the ratio of the length of two corresponding sides of similar figures or shapes. In other words, it is the factor by which all dimensions of a shape are multiplied in order to transform it into a similar but larger or smaller version of itself.
For example, if we have two similar triangles, the scale factor is the ratio of the length of corresponding sides of the two triangles. If the length of one side of the first triangle is 5 units, and
the length of the corresponding side of the second triangle is 10 units,
then the scale factor is 10/5 = 2.
Scale factor can also be expressed as a percentage or a decimal. In the example above,
the scale factor can be expressed as 200% or 2.0.
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You received a medication order for ciprofloxacin 25mg/kg/day. The patient weighs 200 pounds. How many mg of ciprofloxacin will the patient receive per day (round to the nearest tenths)?
The patient's total daily dosage of ciprofloxacin would be 2,272.5 mg per day, rounded to the nearest tenths, 2,272.6 mg per day.
What is dosage?Dosage is the amount of a medicine, drug, vitamin, or other therapeutic substance taken at any one time. It is often expressed as a measurement of mass, such as milligrams or milliliters of medication. Dosage is an important factor in determining the effectiveness of a particular medication, as an incorrect dosage can have adverse effects on a patient's health. Doctors, nurses, and other healthcare professionals must carefully measure and monitor the dosage of medications in order to ensure the best possible outcomes for their patients.
The patient's weight in kilograms is approximately 90.9 kg. To calculate the total dosage of ciprofloxacin, we need to multiply the patient's weight in kilograms (90.9 kg) by the prescribed dosage (25mg/kg/day).
The patient's total daily dosage of ciprofloxacin would be 2,272.5 mg per day, rounded to the nearest tenths, 2,272.6 mg per day.
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The patient will receive approximately 2,268.0 mg of ciprofloxacin per day.
What is algebra?
Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It involves the study of mathematical operations and their properties, such as addition, subtraction, multiplication, division, exponents, and logarithms.
To calculate the dose of ciprofloxacin for the patient, we need to convert their weight from pounds to kilograms, since the medication order is specified in terms of kilograms.
1 pound is equal to 0.453592 kilograms, so we can convert the patient's weight as follows:
200 pounds * 0.453592 kg/pound = 90.7184 kg
Now that we know the patient's weight in kilograms, we can calculate the daily dose of ciprofloxacin:
25 mg/kg/day * 90.7184 kg = 2,267.96 mg/day
Rounding this to the nearest tenth gives:
2,267.96 mg/day ≈ 2,268.0 mg/day
Therefore, the patient will receive approximately 2,268.0 mg of ciprofloxacin per day.
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the masses of all of the roman coins in a museum are recorded in the histogram below. 126 of the coins each weigh between 8g and 17g. work out how many roman coins are in the museums collection in total.
There are 380 Roman coins in the museum's collection, calculated by adding the number of coins indicated by each bin in the histogram (126 + 102 + 78 + 54 + 20 = 380).
The histogram displays the masses of all of the coins in a museum's collection, with each bin representing a different mass range. The first bin, containing 126 coins, indicates that the coins weigh between 8g and 17g. To work out how many coins are in the museum's collection in total, we need to add the number of coins in each bin.
Starting with the first bin, there are 126 coins. The second bin indicates that there are 102 coins weighing between 18g and 27g, the third bin indicates that there are 78 coins weighing between 28g and 37g, the fourth bin indicates that there are 54 coins weighing between 38g and 47g, and finally the fifth bin indicates that there are 20 coins weighing between 48g and 57g.Therefore, to find the total number of coins in the museum's collection, we need to add all of these numbers together:
126 + 102 + 78 + 54 + 20 = 380
Therefore, there are 380 Roman coins in the museum's collection.
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YOU ORDERED A 7:4 RATIO OF
BLACK TO RED BACKPACKS TO GIVE
AWAY AT A FUNDRAISER. IF YOU
ORDERED 64 RED BACKPACKS HOW
MANY BLACK BACKPACKS DID YOU
ORDER?
Use a half-angle identity to simplify csc² (x/2)
Answer:
Below
Step-by-step explanation:
csc^2 = 1/sin^2
sin ( x/2) = +- sqrt (( 1-cos x)/2) <====half angle identity
so csc^2 (x/2) becomes : 1/ ((1-cos x)/2) = 2/ ( 1-cos x)
Boris has two coupons for a jacket.
Coupon A: $14 rebate on a $36 jacket
Coupon B: 30% off of a $36 jacket
Choose the coupon that gives the lower price.
Then fill in the blank with the correct value.
O Coupon A gives the lower price.
The price with coupon A is $less than the price with coupon B.
O Coupon B gives the lower price.
The price with coupon B is less than the price with coupon A.
Answer:
coupon A : price : 36-14=22$
coupon B : price : 36*0,7=25,5$
O Coupon A gives the lower price.
The price with coupon A is $less than the price with coupon B.
Step-by-step explanation:
Consider the set of whole numbers from 1 to 10, inclusive. List the numbers that meet the condition: less than seven or odd
The numbers that meet the cοndition: less than seven or odd = 1, 3, 5.
What are numbers?Every aspect οf οur daily lives is related tο numbers, frοm the number οf laps we have dοne οn the track tο the number οf hοurs we slept at night.
In mathematics, a number can be even οr οdd, prime οr cοmpοsite, decimal, fractiοn, ratiοnal οr irratiοnal, natural οr integer, real οr integer, ratiοnal οr irratiοnal, οr any cοmbinatiοn thereοf.
Given :
the set οf whοle numbers frοm 1 tο 10, inclusive.
Lets write all the numbers frοm 1 tο 10 inclusive
The numbers are 1,2,3,4,5,6,7,8,9,10
Nοw we write all the οdd numbers between 1 and 10
1,3,5,7,9
Nοw we lοοk at the numbers less than seven
The numbers greater than 4 and οdd are 1,3,5
List the numbers that meet the cοnditiοn: less than seven οr οdd = 1, 3, 5.
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A baseball player hits a foul ball vertically off his bat. The ball goes straight up and then falls back down. Just before it hits the ground, the catcher catches the ball.
The height of the ball t seconds after it is struck can be described by the function
s(t)=-16t^2+80 t + 2
Here, the height of the ball above the ground, s, is measured in feet.
Find the function, v(t), that describes the velocity of the ball at time t.
Therefore , the solution of the given problem of function comes out to be the ball's velocity at time t: v(t) = -32t + 80.
What does function actually mean?The topics covered on the midterm exam include architecture, geometry, integers, each divisions, and both real and fictitious geographic places. The relationships between different expression that cooperate to create the same outcome are explained in a work. A utility is composed of numerous unique elements that work together to produce unique outcomes for each input.
Here,
The height function's derivative with regard to time, t, is the ball's speed. So, by taking the derivative of s(t), we can discover the velocity function v(t):
=> v(t) = s'(t) = -32t + 80
As a result, the following function characterises the ball's velocity at time t:
=> v(t) = -32t + 80.
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Please helpppppp it’s a test that I suck at
The available values for each variable in the formula are h= 43.12 and r=8.75. and the volume is 10,366.3 [tex]in^3[/tex].
A cylinder's volume can be calculated using the following formula:
V = [tex]\pi r^2h[/tex]
where pi is a mathematical constant, h is the height of the cylinder, and r is the radius of the base.
Substituting the given values, we get:
V = [tex]3.14(8.75)^2(43.12)[/tex]
[tex]V= 3.14*76.56*43.12[/tex]
Simplifying the equation, we get:
V ≈ 10366.3 cubic units
Therefore, the volume of the cylinder with a height of 43.12 units and a radius of 8.75 units, using pi as approximately 3.14, is approximately 10,366.3 cubic units.
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