To find the number of seven-digit phone numbers beginning with 336 that have the given property, we need to determine the number of possible combinations for the middle three digits. The number of different seven-digit phone numbers that satisfy the given property is 7.
Explanation:To find the number of seven-digit phone numbers beginning with 336 that have the given property, we need to determine the number of possible combinations for the middle three digits.
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Please help me I have 2 questions.
WHAT IS 2 400 000 written as a standard form?
123456780-646472.657
Is it possible to take a cross section of a tetrahedron and get an octagon? Why or why not?
A.) Yes, because an octagon has eight sides, which is twice the number of faces on a tetrahedron.
B.) Yes, because a tetrahedron is symmetric about its center.
C.) No, because the only cross section that can result from a tetrahedron is a triangle.
D.) No, because the number of sides on the resulting shape cannot exceed the number of faces on the solid.
Answer: D.) No, because the number of sides on the resulting shape cannot exceed the number of faces on the solid.
Option (D) No, it is not possible to take a cross section of a tetrahedron and get an octagon because the number of sides on the resulting shape cannot exceed the number of faces on the solid. A tetrahedron, having only four faces, cannot have a cross section with eight sides like an octagon.
The question asks if it is possible to take a cross section of a tetrahedron and get an octagon. A tetrahedron is composed of four triangular faces, six edges, and four vertices. It is the simplest of all the ordinary convex polyhedra and the only one with fewer than 5 faces. The provided options suggest various reasons why an octagon could or could not result from a cross section of a tetrahedron. The correct answer is D: No, because the number of sides on the resulting shape cannot exceed the number of faces on the solid.
A cross section that intersects a solid will typically not have more sides than the number of faces of the solid itself. Since a tetrahedron has only four faces, any cross-section made through it cannot naturally have more than four sides, thus it cannot result in an octagon, which has eight sides. The concept of symmetry or the fact that an octagon has twice as many sides as a tetrahedron does not relate to the possibility of such a cross section.
Question 2: A circular picture is 8 inches in diameter. Part A What is the area of the picture in square inches? A. 4π square inches B. 8π square inches C. 16π square inches D. 32π square inches Part B A frame that is 2 inches wide surrounds the picture. What is the total area of the picture and the frame in square inches? A. 4π square inches B. 12π square inches C. 36π square inches D. 40π square inches
really important please answer correctly
twice the measure of an angle's complement less 6 is equal to 124 find the measure of the angle
Answer
you work it out the same way the first guy did, except instead of
2 (180-x) - 6 = 124, it's
2(90-x) -6 = 124.
the first guy divided by the supplement instead of the complement.
Step-by-step explanation:
To find the measure of the angle, you can use the equation 2(90 - x) - 6 = 124, where x represents the angle. By solving for x, you can determine that the measure of the angle is 25 degrees.
Explanation:To find the measure of the angle, we can use the information provided in the question. Let's let the measure of the angle be x degrees. The complement of the angle can be found by subtracting the measure of the angle from 90 degrees, since the sum of an angle and its complement is always 90 degrees. Therefore, the complement of the angle is 90 - x degrees.
According to the given equation, twice the measure of the angle's complement less 6 is equal to 124. We can write this as 2(90 - x) - 6 = 124. Now we can solve for x:
2(90 - x) - 6 = 124
180 - 2x - 6 = 124
-2x + 174 = 124
-2x = -50
x = 25
Therefore, the measure of the angle is 25 degrees.
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The ordered pairs below represent a function
(-2,-17.5),(5,8.75),(0,-10),(-1,-13.75),(3,1.25)
What is the rate of change of the function?Round to the nearest hundreth if necessary. PLEASE HELP ASAP WILL AWARD BRAINLIEST!!!
Answer:
The answer is 3.75.
Step-by-step explanation:
I did this before
Find the two numbers whose sum is 29 and whose difference is 15
(20 Pts) What is the value of h when the function is converted to vertex form? Note: Vertex form is p(x)=a(x−h)^2+k . p(x)=x^2−14x+29
Mark has 36 drawings of horses and 4 drawings of spaceships. write and solve an equation to find how many times as many drawings of horses he has as spaceships.
Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus $6 for each hour of work. Her total fee for a 4-hour job, for instance, is $ 32.
Carolina's charges can be represented by the linear equation y = 8 + 6x, where x represents hours worked and y represents the total fee charged for the service.
Explanation:The subject this question pertains to is Mathematics, specifically linear equations. Carolina's job can be modelled by a linear equation, where the independent variable is the number of hours worked and the dependent variable is the total fee charged.
In this case, Carolina charges an initial flat fee plus $6 per hour worked. Her total charge for a 4-hour job is $32, which means her initial fee can be deduced by subtracting four times her per-hour fee from the total fee, that is $32 - 4*$6 = $32 - $24 = $8. Therefore, the linear equation that models Carolina's job is y = 8 + 6x, where x is the number of hours worked and y is the total fee charged.
This is similar to the linear equation that represents Svetlana's tutoring job in Example 12.4, where each tutoring session earns her a one-time fee of $25 plus $15 per hour of tutoring, modeled by the equation y = 25 + 15x.
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bracelet costs $8. Simone is also buying a necklace for her mother for $18. She believes that her total will be $98. Which expression could be used to estimate the reasonableness of Simone’s total? 8 × $8 + $10 8 × $8 + $18 10 × $8 + $20 10 × $10 + $10
one method of estimating is to
A light bulb manufacturing machine produces 72 light bulbs per minute. How much time would it take to make 5400 light bulbs?
Suppose you invest $500 at an annual interest rate of 8.2% compounded continuously. How much will you have in the account after 15 years? (1 point)
$1,671.74
$17,028.75
$1,710.61
$8,140.92
Carpet sells for $3 per square foot and will cost you $810 to recarpet your rectangular room. if your room is 18 feet long, how many feet wide is it?
Match each correlation coefficient with the type of association it indicates between the variables x and y.
r = 0.9
r = -1.0
r = -0.6
r = 0.1
a perfect linear association in which y increases as x increases
a perfect linear association in which y decreases as x increases
a strong linear association in which y increases as x increases
a strong linear association in which y decreases as x increases
a moderate linear association in which y increases as x increases
r = 0.9 (a strong linear association in which y increases as x increases)
r = -1.0 (a perfect linear association in which y decreases as x increases)
r = -0.6 (a moderate linear association in which y decreases as x increases)
r = 0.1 (no linear association or a very weak association)
Which graph represents the function on the interval [−3, 3] ?
PLEASE HELP ME ON THIS
maria is planning a triangular garden she wants to build a fence around the garden to keep out the rabbits. the length of one side of the garden is 29 feet. if the angles of this side are 65 and 44 find the length of the fence needed to enclose the garden
Approximately 85.323 feet of fence is needed to enclose the garden.
To find the length of the fence needed to enclose Maria's triangular garden, we can use the Law of Sines since we know one side length and its opposite angle.
The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant:
[tex]\[ \frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)} \][/tex]
Where:
- a, b, c are the side lengths of the triangle.
- A, B, C are the angles of the triangle.
Given that one side length is 29 feet and its opposite angle is 65°, let's denote the other two angles as B and C . Since the sum of angles in a triangle is 180°, we can find angle C as 180° - 65° - 44° = 71°.
Now, we can use the Law of Sines to find the lengths of the other two sides:
[tex]\[ \frac{29}{\sin(65°)} = \frac{b}{\sin(44°)} \][/tex]
Solving for b:
[tex]\[ b = 29 \times \frac{\sin(44°)}{\sin(65°)} \][/tex]
b ≈ [tex]24.438 \text{ feet} \][/tex]
Similarly, we can find the length of side c using the same formula:
[tex]\[ \frac{29}{\sin(65°)} = \frac{c}{\sin(71°)} \][/tex]
[tex]\[ c = 29 \times \frac{\sin(71°)}{\sin(65°)} \][/tex]
c ≈ [tex]31.885 \text{ feet} \][/tex]
Finally, to find the total length of the fence needed, we sum up the lengths of all three sides:
[tex]\[ \text{Total fence length} = 29 + 24.438 + 31.885 \][/tex]
[tex]\[ \text{Total fence length}[/tex] ≈ [tex]85.323 \text{ feet} \][/tex]
So, approximately 85.323 feet of fence is needed to enclose the garden.
A tour group charges a flat price for a tour of up to 20 people. The cost per person varies inversely with the number of people. If five people pay 135 each, what must 15 people pay per person.
The expanded form 700,000 + 10,000+9 represents the whole number. 701,309. 713,009. 710,309. 713,090.
Javier bought a 20 oz smoothie that contains 450 total calories how many calories does a smoothie contain per ounce
Given: ΔABC ≅ ΔFDE. . What is the length of segment DE rounded to the nearest tenth?. . 3.2. . 4.2. . 2.2. . 3.6. .
Answer:
The length of segment DE is 3.2 (A)
Step-by-step explanation:
Find the percent of increase from 4.5 inches to 13.5 inches.
Final answer:
To calculate the percent of increase from 4.5 inches to 13.5 inches, subtract the original value from the new value, divide by the original value, and then multiply by 100, resulting in a 200% increase.
Explanation:
To find the percent of increase from one number to another, you can use the formula: (New Value - Original Value) / Original Value × 100%. Applying this to the question, the original value is 4.5 inches, and the new value is 13.5 inches.
Calculate the increase: 13.5 - 4.5 = 9 inches.Divide the increase by the original number: 9 / 4.5 = 2.Convert this to a percentage by multiplying by 100: 2 × 100% = 200%.Therefore, the percent of increase from 4.5 inches to 13.5 inches is 200%.
Given f(x) = 3x+4 . What is f(8)
At the beginning of the spelling bee there were 60 participants. One-third of the participants were eliminated during the first round. One-fourth of the remaining participants were eliminate during the second round. One-sixth of the remaining participants were eliminated during the third round. How many participants were still cmpeting at the beginning of the fourth round?
By subtracting the eliminated participants in each round from the original number, it is determined that 25 participants were still competing at the beginning of the fourth round.
To find out how many participants were still competing at the beginning of the fourth round of the spelling bee, we need to perform some calculations based on the given percentages of participants eliminated in each round.
In the first round, one-third of the 60 participants were eliminated. This is 60 / 3 = 20 participants eliminated. So, 60 - 20 = 40 participants remained after the first round.In the second round, one-fourth of the remaining participants were eliminated. This is 40 / 4 = 10 participants eliminated. So, 40 - 10 = 30 participants remained after the second round.In the third round, one-sixth of the remaining participants were eliminated. This is 30 / 6 = 5 participants eliminated. So, 30 - 5 = 25 participants remained.Therefore, 25 participants were still competing at the beginning of the fourth round.
What is the domain of y = cos θ?
A. [-1, 1]
B. [0, infinity]
C. All real numbers
D. 2pi,
Answer:
Option C - All real numbers
Step-by-step explanation:
Given : Function [tex]y=\cos \theta[/tex]
To find : The domain of given function ?
Solution :
Domain is defined as the set of values for which function is defined.
We have given the function,
[tex]y=\cos \theta[/tex]
We know, for any value of [tex]\theta[/tex] the function [tex]y=\cos \theta[/tex] is defined.
Which means the set of all real numbers defined the given function i.e. [tex]x\in(-\infty,\infty)[/tex]
Therefore, Option C is correct.
The domain of [tex]y=\cos \theta[/tex] is all real numbers.
find the geometric mean of the pair of numbers 36 and 4
The geometric mean of the pair of numbers 36 and 4 is calculated by getting the square root of the product of the two numbers, which gives us the geometric mean as 12.
Explanation:To find the geometric mean of the pair of numbers 36 and 4, we use the formula for the geometric mean of two positive numbers, which is the square root of the product of the two numbers.
When we multiply 36 and 4 we get 144. So, the geometric mean of 36 and 4 is the square root of 144, which equals 12.
Therefore, the geometric mean of the numbers 36 and 4 is 12.
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PLEASE ANSWER THIS EASY MATH QUESTION!!
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