Sam made 6 identical necklaces, each having beads and a pendant. the total cost of the beads and pendants for all 6 necklaces was $31.80 . if the beads cost $2.70 for each necklace, how much did each pendant cost?
As per an axiom in Euclidean geometry, if__ points lie in a plane, the___containing those points also lies in the same plane.
1. two or three
2. plane or line
Answer:
1. Two
2. Line
Step-by-step explanation:
Two out of the five axioms of the Euclidean Geometry are:
1. A straight line can be drawn between any two points.
2. Any straight line can be extended infinitely.
So, from the above axioms, we get that 'If two points lie in a plane, a straight line can be drawn between those points and that line can be extended indefinitely in that plane'.
Hence, 'If TWO points lie in a plane, the LINE containing those points also lie in the same plane'.
A cube is packed with decorative pebbles. If the cube has a side length of 4 inches, and each pebble weighs on average 0.5 lb per cubic inch, what is the total weight of the pebbles in the cube?
Bill, Bob, and Barry are hired to paint signs. In 8 hours Bill can paint 1 sign, Bob can paint 2 signs, and Barry can paint 1 and 1/3 signs. They all come to work the first day, but Barry doesn't like the job and quits after 3 hours. Bob works half an hour longer than Barry and quits. How long will it take Bill to finish 2 signs they were supposed to paint?
Factor the polynomial completely 20x -220x squared + 600x
A circle whose area is 4 has a radius of x find the area of a circle whose radius is 3x
Answer:
Area = 36 units.
Step-by-step explanation:
Given : A circle whose area is 4 has a radius of x .
To find : find the area of a circle whose radius is 3x.
Solution: We have given
Area of circle = 4 units.
Radius = x .
Formula of area = pi (radius)².
Plug the values
pi (x)² = 4 -------(A)
If the radius = 3x .
Then 4
Area = pi (3x)².
Area = pi (9)(x)².
Area = 9 pi (x)²-----(B) .
We can see from equation ( A) 4 = pi (x)²
Area = 9 * 4.
Area = 36 units.
Therefore, Area = 36 units.
A paper hat is folded into the shape of a kite, as shown. What total length of ribbon is needed to line the two long sides of the hat? 10 in. 11 in. 20 in. 22 in.
Answer:
Step-by-step explanation:
your answer is d
A kite is a quadrilateral with four sides that may be divided into two adjacent pairs of equal-length sides. The total length of ribbon that is needed to line the two long sides of the hat is 22 inches.
What is a kite?A kite is a quadrilateral with four sides that may be divided into two adjacent pairs of equal-length sides. A parallelogram, on the other hand, has two sets of equal-length sides that are opposite each other rather than adjacent.
Since the two adjacent small and two adjacent long sides of a kite are always equal. Therefore, the length of the smaller sides can be written as,
(2x + 1) inches = 5 inches
2x + 1 = 5
2x = 4
x = 2
Now, the length of the longer side of the kite can be written as,
(3x + 5) inches
= 3(2) + 5
= 11 inches
As both the long sides are needed to be covered with the ribbon, therefore, the length of the ribbon needed is,
Ribbon needed = 11 inches × 2
= 22 inches
Hence, the total length of ribbon that is needed to line the two long sides of the hat is 22 inches.
The diagram of the question is mentioned in the below image.
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Choose the correct answer for the amount of interest earned in the following simple interest problem. A deposit of $4,000 at 6.5% for 270 days
Answer:
195.00
Step-by-step explanation:
solve for p if 2|p|=4
Chris is in training for a bicycle race. He needs to ride 50 kilometers a week as a part of his training. He rode 18.23 kilometers on Monday and 13.94 kilometers on Tuesday.
How much more does Chris need to ride to complete his training for the week ?
A. 4.29 km
B. 17.83 km
C.31.77 km
D. 36.06 km
add how many he rode already:
18.23 + 13.94 = 32.17
now subtract that from 50:
50 - 32.17 = 17.83
answer is B. 17.83 km
A parabola opens to the left. Which could be the equation of the parabola?
(x – 4)2 = 4(y + 3)
(x – 4)2 = –4(y + 3)
(y – 4)2 = 4(x + 3)
(y – 4)2 = –4(x + 3)
Answer:
[tex](y - 4)^2 = -4(x + 3)[/tex]
Step-by-step explanation:
When parabola opens the left then it is a horizontal parabola
Vertex form of horizontal parabola is
[tex](y-k)^2= 4p(x-h)[/tex]
where (h,k) is the vertex
When the parabola opens to the right then 4p is positive
when parabola opens to the left then 4p is negative
Now we look at the given equation and check with vertex form of parabola
[tex](y - 4)^2 = -4(x + 3)[/tex]
Here the value of 4p is negative , so parabola opens left
What are the side measures?
What are the dimensions of the following matrix?
5 -6
0 1
3 5
-1 7
A. 2x4
B.4x2
C.3x2
D.none of these
How can you distinguish the base of an isosceles triangle from a leg
PLEASE HELP!!! Write the equation that describes the simple harmonic motion of a particle moving uniformly around a circle of radius 8 units, with angular speed 5 radians per second
The equation that describes the simple harmonic motion of a particle moving uniformly around a circle is x(t) = Acos(wt + φ). In this case, the equation is x(t) = 8cos(5t + φ).
The equation that describes the simple harmonic motion of a particle moving uniformly around a circle can be derived using the concept of circular motion and trigonometry.
The equation for the position of the particle is given by x(t) = Acos(wt + φ), where A is the radius of the circle, w is the angular speed, t is the time, and φ is the phase shift.
In this case, the radius of the circle is 8 units and the angular speed is 5 radians per second. Therefore, the equation for the simple harmonic motion of the particle is x(t) = 8cos(5t + φ).
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What is the equation of a line with a slope of -1/2 and passes through the point (6,-6)
An oil slick is expanding as a circle. The radius of the circle is increasing at the rate of 20 meters per day. Express the area of the circle as a function of d, the number of days elapsed.
Answer:
Step-by-step explanation:
d = number of days since the oil slick started
r = radius in d days = 22d
A(d) = area of oil slick in d days = π(22d)2
A(d) = 484πd2
X^2= 1/100 what does x equal?
which is an equation in point-slope form of the line that passes through the points (4,5) and (-3,-1)?
A. y+1=6/5(x+3)
B. y-1=6/7(x-3)
C. y+1=6/7(x+3)
D. y+3=7/6(x+1)
If your speedometer reads 65 mph then you are actually traveling how many miles?
This set of points is on the graph of a function.
{(−3, 9), (−1, 1), (0, 0), (2, 4)}
Which points are on the graph of the inverse?
Select each correct answer.
(0, 0)
(−9, 3)
(4, 2)
(1, −1)
What is the inverse of f(x)=4x+3 ?
f^−1(x)=1/4x−3/4
f^−1(x)=−1/4x+3/4
f^−1(x)=4x−3
f^−1(x)=−4x−3
What is the inverse of the function?
g(x)=−4/3x+2
g^−1(x)=−4/3x−2
g^−1(x)=3/4x+2/3
g^−1(x)=−3/4x+3/2
g^−1(x)=4/3x−2
Which functions are invertible?
Select each correct answer. (has pictures)
A.
B.
C.
D.
What is the inverse of f(x)=x4+7 for x≥0 where function g is the inverse of function f?
g(x)=x+7√4 , x≥−7
g(x)=x√4+7 , x≥0
g(x)=x−7√4, x≥7
g(x)=x√4−7 , x≥0
The points on the inverse function are (9, -3), (1, -1), (0, 0), and (4, 2). The inverse of f(x)=4x+3 is[tex]f^{-1}(x) = -3 + \frac{1}{4}x[/tex]. The inverse of g(x)=−4/3x+2 is [tex]g^{-1}(x) = \frac{3}{4}x + \frac{2}{3}[/tex] . The inverse of f(x)=x^4+7 for x≥0 is [tex]g(x) = \sqrt{\frac{x-7}{4}}[/tex], for x≥7.
Explanation:To find the points on the graph of the inverse of the function, simply switch the x and y coordinates. So, the points on the graph of the inverse function would be (9, -3), (1, -1), (0, 0), and (4, 2).
For the inverse of the function f(x)=4x+3, you rearrange the equation to solve for x. That gives [tex]f^{-1}(x) = -3 + \frac{1}{4}x[/tex]Therefore, the correct answer is [tex]f^{-1}(x) = \frac{1}{4}x - \frac{3}{4}[/tex]
The inverse of the function g(x)=−4/3x+2 could be found in the same way, which gives[tex]g^{-1}(x) = \frac{3}{4}x + \frac{2}{3}[/tex]
As for the question regarding invertible functions, without the images it is not possible to provide an answer.
The inverse of the function [tex]f(x)=x^4+7[/tex] for x≥0 is calculated by swapping x and y, and then solving for y. This yields: [tex]g(x) = \sqrt{\frac{x-7}{4}}[/tex], for x≥7.
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the shadow of an object varies directly as it height a man 1.8m tall cast a shadow 4.32m long if at the same time a flagpole cast a shadow 12.8m long how it is the flagpole?
Which expression can be used to determine the slope of the linear function represented in the table?
x
y
0
5
4
9
9-5/4-0
4-0/9-5
5-0/9-4
9-4/5-0
Answer:
9-5/4-0
Step-by-step explanation:
A scientist is working with 3 meters of gold wire. How long is the wire in millimeters?
To convert the length of 3 meters of gold wire to millimeters, multiply the length in meters by 1000. The wire is 3000 millimeters long.
Explanation:The scientist is working with 3 meters of gold wire, and we need to convert this length into millimeters. There are 1000 millimeters in a meter, so to convert meters to millimeters, you multiply the length in meters by 1000.
Conversion formula: Length in millimeters = Length in meters × 1000 mm/m.
Using the formula:
Length in millimeters = 3 m × 1000 mm/m = 3000 millimeters.
Therefore, 3 meters of gold wire is 3000 millimeters long.
To convert meters to millimeters, we can use the conversion factor that 1 meter is equal to 1000 millimeters.
Therefore, to find the length of the wire in millimeters, we multiply the given length in meters by 1000:
3 meters * 1000 millimeters/meter = 3000 millimeters
The length of the gold wire in millimeters is 3000.
Explanation:To convert meters to millimeters, you need to multiply the measurement by 1000. Since the scientist is working with 3 meters of gold wire, you can calculate the length in millimeters by multiplying 3 by 1000, which equals 3000 millimeters. Therefore, the length of the wire is 3000 millimeters.
Tom has $10 that he wants to use to buy pens and pencils. However, he does not want to buy more pens than pencils. A pen costs $3, and a pencil costs $1. Which graph represents this scenario? (Here, x represents the number of pens and y the number of pencils.)
A)
B)
C)
D)
E)
Answer:
for plato it is graph A it goes with the first answers graph
Step-by-step explanation:
Which of these is a step in constructing an inscribed Equilateral triangle using technology?
A- Construct segment DB, segment BC, segment CE, segment EG, segment GI, and segment ID.
B- Create circle A with point B on the original circle.
C- Create circle E, which passes through points A and C.
D- Draw point E anywhere on segment DB.
Answer:
The answer is B,A
Step-by-step explanation:
In geometry, an equilateral triangle is a triangle in which all three sides have the same length
Determine if the lines are parallel, perpendicular, or neither y=5 and y =-1
The mean score on a biology exam taken by all undergraduate students in a college in a particular year is 67.8 with a standard deviation of 11.5. The standard error of the mean for a sample of 70 students is , and the margin of error of the mean is . (Round off your answers to the nearest hundredth.)
The standard error of the mean for a sample of 70 students is 1.375 .
The margin of error of the mean is 2.69 .
[Round off your answers to the nearest hundredth]
1. In what country did the government debate the merit of teaching students quadratics? 2. What modern technology would not be possible without quadratics? (hint: I have one at my house.) 3. What great ideas did the Babylonians come up with? 4. Why did the Babylonians need to solve quadratic equations?
△VAT≅△BDT. What is length of BT?
Enter your answer in the box.
we know that
If △VAT≅△BDT, then the corresponding sides will be congruent
[tex]VT=BT\\VA=BD\\ AT=DT[/tex]
we have
[tex]VT=6.3\ unit\\VA=3.7\ unit\\AT=4.7\ unit[/tex]
so
[tex]BT=6.3\ unit[/tex]
therefore
the answer is
[tex]BT=6.3\ unit[/tex]