Step 1
Write an expression for the midsegment of a trapezoid. Given the trapezoid below.
How many milligrams are equal to 3.06 grams? 0.00306 mg 306 mg 3,060 mg 306,000 mg
Answer:
3,060
Step-by-step explanation:
Multiply the mass value x 1000
3.06 x 1000= 3,030
There are 3060 milligram in 3.06 grams.
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
We have to given that;
The number is,
⇒ 3.06 grams
Since, We know that;
1 gram = 1000 milligrams
Hence, We get;
⇒ 3.06 grams = 3.06 x 1000 milligrams
= 3060 milligrams
Thus, There are 3060 milligram in 3.06 grams.
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Marcus collected 5 fewer rocks than esha How many rocks did Marcus collect if esha collected 22 rocks?
Answer:
17
Step-by-step explanation:
Answer:
22-5=17 the answer is 17
HELP ASAAAPPPO! Dawn is making an abstract painting with two triangles. The dimensions of the painting are shown below:
Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches.
The total area of the two triangles is
???
square inches.
the total area of the two triangles as shwon in the image is 70 in²
What is area?Area can be defined as the total portion occuppied by a plane fiqure.
To calculate the total area of the two triangles, we use the formula below.
Formula:
Total area of the triangle = Area of the pink triangle+Area of the purple triangleArea of the purple triangle = bh/2.................. Equation 1Where:
b = Base of the purple triangle = 8 inh = Height of the purple triangle = 10 inSubstitute these values into equation 1
Area of the purple triangle = 8×10/2Area of the purple triangle = 40 in²Similarly,
Area of the pink triangle = BH/2........ Equation 1Where:
B = 6 inH = 10 inSubstitute these values into equation 2
Area of the pink triangle = 6×10/2Area of the pink triangle = 30 in²Therefore, the total area of the two triangles is 40+30 = 70 in².
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slope of line (-3,-2) and (-1,-5)
Answer:
−3/2
Step-by-step explanation:
Hope this helps
:D
A....
B....
C....
D....
Answer:
B
Step-by-step explanation:
whenever we add 1 to the number of team wins, the attendance number goes up by 15. that is a constant rate.
a constant percentage would change the absolute number of people attending every time.
e.g. let's say there were 100 people attending last time. and the audience increases by 10%. so, next time there are 100 + 10% = 100 + 10 = 110 people attending.
they win again, and the constant percentage of 10% would add now 10% of 110 people = 11 people.
and so on.
the linear function "attendance" would be for x as the number of team wins :
attendance(x) = 15x + c
with c being a starting number of people attending at the first game.
If the dilated figure has a scale factor of 5, the the figures is an example of a reduction?
True of false
1. Leonardo da Vinci asserted that a person's height is proportional to the length of the
person's palm. Don's palm is 5 centimeters in length and he is 120 centimeters tall. Mateo's
palm is 7.5 centimeters in length. Assuming that da Vinci's theory is correct, how tall, in
centimeters, is Mateo?
Answer:
120 : 5 = 24 suy ra 24 x 7,5 = 180
Step-by-step explanation:
How many yards are equivalent to 18 inches?
Answer:
0.5 yards
Step-by-step explanation:
Cooper just started a running plan where he runs 8 miles the first week and then
increases the number of miles he runs by 5% each week. If he keeps up this plan for
21 weeks, how many total miles would Cooper have run, to the nearest whole
number?
Cooper ran 286 miles in 21 weeks.
HELP ME!!!!
ZEARN!!!!!!!!!
A common denominator is a shared multiple of the denominators of the fractions involved when adding or subtracting fractions. It enables fraction comparison and addition/subtraction.
Simplification is the process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor. This is done to represent fractions in the simplest terms viable.
Conversion: The process of transferring a fraction from one form to another while retaining its equal value is known as conversion. Finding a common denominator or expressing a fraction in terms of a specified unit or fraction may be required.
Fraction Addition/Subtraction: When adding or subtracting fractions, a common denominator is required. This entails determining a common multiple of
To rewrite the expression 3 + 1/5 + 2/3 using fifteenths as the common denominator, we need to find a common denominator for 5 and 3, which is 15 (since 5 and 3 are both factors of 15).
First, let's convert the fractions 1/5 and 2/3 to fifteenths:
\((\frac{1}{5})(\frac{3}{3}) = \frac{3}{15}\)
\((\frac{2}{3})(\frac{5}{5}) = \frac{10}{15}\)
Now we can rewrite the expression using the common denominator:
\(3 + \frac{3}{15}+\frac{10}{15}\)
The prices of paperbacks sold at a used bookstore are approximately Normally distributed, with a mean of $7.85 and a standard deviation of $1.25.
Use the z-table to answer the question.
If the probability that Joel randomly selects a book in the D dollars or less range is 56%, what is the value of D?
$4.46
$7.75
$8.04
$8.10
(C) 8.04
Answer:
The answer you want is indeed, (C).
8.04
ED2021
Answer:
C) 8.04
Step-by-step explanation:
edge 2023
A stone is dropped from the upper observation deck of a tower, 950 m above the ground. (Assume g = 9.8 m/s2.)
(a) Find the distance (in meters) of the stone above ground level at time t.
(b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.)
(c) With what velocity does it strike the ground? (Round your answer to one decimal place.)
(d) If the stone is thrown downward with a speed of 8 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)
a) The distance of the stone above ground level at time t :
d(t)= -4.9t² + 950
b) It takes 13.92 seconds the stone to reach the ground
c) With 136.42 m/s velocity the stone strikes the ground.
d) If the stone is thrown downward with a speed of 8 m/s, it will take 13.13 seconds to reach the ground
Here, a stone is dropped from the upper observation deck of a tower, 950 m above the ground.
(a) the distance of the stone above ground level at time t would be,
d(t) = 0.5 (-9.8) t² + v(0) t + d(0)
= (-4.9)t² + 0t + 950
= -4.9t² + 950
(b) Now we find the time the stone takes to reach the ground.
i.e., the value of 't' when d = 0
Substituting d(t) = 0 in the above equation.
-4.9t² + 950 = 0
t² = (-950) / (-4.9)
t² = 193.88
t = 13.92 seconds
(c) We need to find the velocity the stone takes to strike the ground
i.e., the velocity when t = 13.92 seconds
v(t) = v(0) + gt
v(13.92) = 0 + (9.8)(13.92)
v = 136.42 m/s
(d) here, v(0) = -8 m/s
Velocity is negative because stone is being thrown downward.
d(t) = 0
(-4.9)t² + v(0) t + d(0) = 0
(-4.9)t² -8t + 950 = 0
Using the quadratic formula we solve above equation for,
t = -14.76, 13.13
We can disregard the negative solution
So, we get t = 13.13 seconds.
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simplify the expression by using the distributive property and combining like terms
6(3y + 7) + 4(9+9y)
Answer:
54y+78
Step-by-step explanation:
6*3y+ 18y
6*7=42
4*9=36
4*9y=36y
18y+36y+42+36= 54y+78
kate pays $203 in advance on her account at the athletic club. Each time she uses the club, $9 is deducted from the account. Find the remaining in the account after 12 visits
Answer:
95
Step-by-step explanation:
The equation to solving this would be 203 - (9 multiply 12). If you multiply 9 and 12 you get 108. Minus 108 from 203 and you get 95.
The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is 4 ft long with a diameter of 1.6 ft. Suppose gas is poured into the tank at a rate of 2.3 ft per minute. How many minutes does it take to fill the empty tank? Use the value 3.14 for L, and round your answer to the nearest minute. Do not round any intermediate computations.
Answer:
≈ 3 minutes---------------------
The time is:
time = volume/rateThe rate is given - 2.3 ft³/min.
Find the volume of cylinder:
V = πr²h V = 3.14*(1.6/2)²*4 = 8.0384 ft³Find the required time:
time = 8.0384/2.3 = 3.49495652174 ≈ 3 min (rounded)Linear Inequalities
Anderson's Entertainment Bus Company charges a $19.95 flat rate for a party bus. In addition to that,
they charge $1.75 per mile. Chenelle has no more than $300 to spend on the party bus. At most, how
many miles can Chenelle travel without exceeding her spending limit?
Chenelle can travel at most 160 miles without exceeding her spending limit of $300.
We have,
To determine the maximum number of miles Chenelle can travel without exceeding her spending limit of $300, we need to subtract the flat rate from her budget and divide the remaining amount by the cost per mile.
So,
Subtract the flat rate from Chenelle's budget:
Budget after subtracting the flat rate.
= $300 - $19.95
= $280.05
Divide the remaining budget by the cost per mile to find the maximum number of miles:
Maximum miles = Budget after subtracting the flat rate / Cost per mile
= $280.05 / $1.75
Using division.
Maximum miles = 160.028571
Therefore,
Chenelle can travel at most 160 miles without exceeding her spending limit of $300.
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The graph of which function has an amplitude of 3 and a right phase shift of ?
y = 3+ sin 2(x - 5)
y = 3sin 2(2
y = 3+ sin 2 (2+)
y = 3sin 2(x + 5)
Answer:
Option 4
Step-by-step explanation:
Equation representing the sine function is,
y = Asin[B(x- C)] + D
Here, A = Amplitude
B = \(\frac{2\pi }{\text{Period}}\)
C = Phase shift
D = Vertical shift
If the amplitude of the the given function = 3 and right phase shift = \(\frac{\pi }{4}\)
Therefore, equation of the sine function will be,
\(y=3\text{sin}B(x-\frac{\pi }{4})+D\)
By comparing this equation with the given options,
Equation representing right phase shift = \(\frac{\pi }{4}\) and amplitude = 3,
\(y=3\text{sin}2(x-\frac{\pi}{4})\)
This equation represents right phase shift = \(\frac{\pi }{4}\) and amplitude = 3.
Therefore, Option 4 is the correct option.
what is the value of x^2 - 6x + 9 when x = 2 + i?
The Expression x^2 - 6x + 9 when x = 2 + i is -2i
To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:
(2 + i)^2 - 6(2 + i) + 9
Simplifying the first term, we get:
(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2
Since i^2 = -1, we can substitute that in and simplify further:
(2 + i)^2 = 4 + 4i - 1 = 3 + 4i
Now we substitute this into the original expression:
(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9
Simplifying further, we get:
= 3 + 4i - 12 - 6i + 9
= 0 - 2i
= -2i
Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.
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runners on different lanes on oval races trake have different starting marks. why?
Answer:
So, how the racing track is shaped, the inner line are faster because of the smaller inside of the oval, so basically the outside lane takes longer to run than the inside lane.
Let me know if you need more explaining, the picture might help.
4.
Mrs. Smith has a cardboard box in the shape of a rectangular prism. She plans to cover it with
paper. The dimensions of the box are 3in by 4in by 6in. What is the minimum amount of paper
needed to completely cover the box?
Answer:
108 inches²
Step-by-step explanation:
Rectangular prism = cuboid
To find how much paper is required to cover the box, we need to find the TSA of the cuboid.
TSA of cuboid = 2 [LB + LH + HB] = 2 [ (3×4) + (3×6) + (4×6) ] = 2 [ 12+18+24 ] = 2 × 54 = 108 inches²
p[(-3)+n]=p x ____ + ______ x _____
Answer:
241234567890-234567890-dfgyuiop[iuhgv bnklokjbv bnmklm
what is 18.77 in expanded form?
Answer:
0.07
Step-by-step explanation:
Just use a calculator my guy.
A camera shop stocks eight different types of batteries, one of which is type A76. Assume there are at least 32 batteries of each type.
A)How many ways can a total inventory of 32 batteries be distributed among the eight different types?
B)How many ways can a total inventory of 32 batteries be distributed among the eight different types if the inventory must include at least four A76 batteries?
C)How many ways can a total inventory of 32 batteries be distributed among the eight different types if the inventory includes at most three A76 batteries?
Number of ways total inventory of 32 batteries be distributed among the 8 different types - 15257889504
What is a permutation ?The number of possible arrangements for a given set is determined mathematically, and this process is known as permutation. The term "permutation" simply refers to the variety of possible arrangements or orders. The positioning of the permutations matters a lot.
Number of ways total inventory of 32 batteries be distributed among the 8 different types -
39!/30! 7! = 39X38X37X36X35X34X33X32X31 / 7X6X5X4X3X2X1
= 15257889504
Number of ways total inventory of 32 batteries be distributed among the 8 different types, in inventory must include A76 - 35! / 28! 7!
= 35X34X33X32X31X30X29 / 7X6X5X4X3X2X1 = 6714520
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We have just performed a one-way ANOVA on a given set of data and rejected the null hypothesis for the ANOVA F test. Assume that we are able to perform a randomized block design ANOVA on the same data. For the randomized block design ANOVA, the null hypothesis for equal treatments will ________ be rejected.
Answer:
The answer is "sometimes".
Step-by-step explanation:
A one-way ANOVA was merely performed on one collected data and the null hypothesis was rejected after an ANOVA F test. Assume we could randomize ANOVA block design with the same information. This null hypothesis for full equality is sometimes rejected for the randomized complete block design ANOVA. Therefore we understand the use of randomized ANOVA block if the null hypothesis is denied of a one-way ANOVA but the rejection of a null RBD ANOVA hypothesis isn't conditional mostly on denial of the yet another ANOVA null.
Find the second differences
The second difference of the given number table is: Option A: -2
How to find the second differences?The second difference method can be used to determine a quadratic model. In order for us to calculate the second difference, we will select 3 consecutive y-values, and then subtract the first y-value from the second and the second y-value form the third. Then we will find the difference of these two resulting values. That difference is what we refer to as the second difference.
Thus, Applying the second difference concept to our problem, we have:
First difference:
-4 - (-9) = 5
-1 - (-4) = 3
Thus, second difference is:
3 - 5 = -2
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Colin borrowed 4200 at 8% simple interest to be paid back in 3 years. How much interest will he pay
Answer:
Answer 1008
Step-by-step explanation:
determine two pairs of polar coordinates for the point with 0° ≤ ⍬ < 360°. (-4,0)
The result is that there exist two sets the polar coordinates again for position (-4, 0): (4, 180°) & (4,-180° ).
In plain terms, what are polar coordinates?
The given point (-4, 0) lies on the negative x-axis in the Cartesian coordinate system. To find the polar coordinates of this point,
we need to determine the distance from the origin (r) and the angle formed between the positive x-axis and the line connecting the origin and the point (-4, 0) (θ).
Since the point lies on the negative x-axis, its angle θ is either 180° or -180°. The distance from the origin to the point is 4 units, since it is the absolute value of the x-coordinate.
Therefore, the polar coordinates of the point (-4, 0) can be expressed as:
(4, 180°) or (4, -180°)
Another way to express the same point using polar coordinates is to use the angle θ that is measured from the positive y-axis (in the range of -90° to 90°).
In this case, we can use the fact that the point (-4, 0) is located symmetrically across the origin from the point (4, 0). Therefore, we can express the polar coordinates of the point (-4, 0) as:
(4, 0° + 180°) or (4, 0° - 180°)
which simplifies to:
(4, 180°) or (4, -180°)
So, the two pairs of polar coordinates for the point (-4, 0) are (4, 180°) and (4, -180°)
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Shamin Jewelers sells diamond necklaces for $442 less 10%. Jewelers offers the same necklace for $527 less 34%, 14% What additional rate of discount must offer to meet the competitor's price
Answer:
The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:
$442 * 0.9 = $397.80
The selling price of the same necklace at the competitor's store after 34% and 14% discount is:
$527 * 0.66 * 0.86 = $247.08
So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:
$397.80 - $247.08 = $150.72
To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:
($150.72 / $442) * 100 = 34.11%
Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.
Step-by-step explanation:
A sample of 311 people is selected. The people are classified according to place of residence ("urban", "suburban", or "rural"). They are also classified according to highest educational degree earned ("no college degree", "two-year degree", "four-year degree", or "advanced degree"). The results are given in the contingency table below. Urban Suburban Rural No college degree Two-year degree Four-year degree 34 42 22 35 21 22 16 34 16 Advanced degree 23 23 23 What is the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree? Round your answer to two decimal places.
Answer: 0.07
Step-by-step explanation:
To find the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree, we need to calculate the ratio of the number of people with those characteristics to the total sample size.
Looking at the contingency table, we can see that the number of people in the suburban category with a two-year degree is 21.
The total sample size is given as 311.
Therefore, the relative frequency can be calculated as:
Relative frequency = (Number of people in suburban category with two-year degree) / (Total sample size)
= 21 / 311
≈ 0.0676
Rounded to two decimal places, the relative frequency is approximately 0.07.
What is the distance between (5, –1) and (5, –4)?
On a coordinate plane, points are at (5, negative 1) and (5, negative 4).
1 unit
3 units
4 units
5 units
Answer:
\(d=3\ units\)
Step-by-step explanation:
The distance formula is:
\(d = \sqrt {\left( {x_2 - x_1 } \right)^2 + \left( {y_2 - y_1 } \right)^2\)
We can plug in the given coordinate pairs into the formula:
\(d = \sqrt {\left( {5-5\right)^2 + \left( {4-(-1) } \right)^2\)
\(d = \sqrt {\left( {0 } \right)^2 + \left( {-4+1} \right)^2\)
\(d=\sqrt{0+(-3)^2}\)
\(d=\sqrt{0+9}\)
\(d=\sqrt{9}\)
\(d=3\ units\)
Answer:
3 or b
Step-by-step explanation:
EDGE 2022