37.96 is the average atomic mass of the element in the data table .
What does average mean?
The average is calculated by dividing the total number of values by the total number of values. It can also be described as mean. The mean in statistics is the average value across the specified sample or data set.
Mean, median, and mode are the three primary categories of average. Each of these methods operates a little bit differently and frequently yields values that diverge a little bit from the norm. The most popular type of average is the mean.
the average atomic mass = 35.97 + 37.96 + 39.96/3
= 113.89/3
= 37.96
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Answer:
39.96
Step-by-step explanation: I think
-16.3=w+6.1 first to answer will earn brainiest!
Answer:
w = - 22.4
Step-by-step explanation:
w + 6.1 = -16.3
**subtract 6.1 on both sides to isolate w:
w = -16.3 - 6.1
w = -22.4
Answer:i wont answer it because the other guy is right
Step-by-step explanation:
Write an equation and solve for X show your work. (9x + 2) and (5x - 4)
Answer:
x = 13
Explanation:
In a trapezoid, the sum of the adjacent angles is 180 degrees. So, we can write the following equation
(9x + 2) + (5x - 4) = 180
Now, we can solve the equation for x.
Add the like terms
9x + 2 + 5x - 4 = 180
(9x + 5x) + (2 - 4) = 180
14x - 2 = 180
Add 2 to both sides of the equation
14x - 2 + 2 = 180 + 2
14x = 182
Finally, divide both sides by 14
14x/14 = 182/14
x = 13
Therefore, the value of x is 13.
AXYZ AMNL
X
XY =
33°
Y
LA
12
N
124°
N
8
M
Answer:
8
Step-by-step explanation:
You want to know the measure of segment XY if ∆XYZ ≅ ∆MNL and MN = 8.
Corresponding sidesSegment XY is named using the first two vertices listed in the name of ∆XYZ. That means the segment is the same length as the one named by the first two vertices listed in the name of congruent ∆MNL, segment MN.
Segment MN is given as 8 units long. Segment XY is congruent, so is also 8 units long.
XY = 8 units
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The equation for the profit that fits the data exactly.
The quadratic function for this problem is defined as follows:
P(x) = -1/20(x - 500)² + 9500.
How to define the quadratic function given it's vertex?The quadratic function of vertex(h,k) is given by the rule presented as follows:
y = a(x - h)² + k
In which:
h is the x-coordinate of the vertex.k is the y-coordinate of the vertex.a is the leading coefficient.The vertex from the graph are given as follows:
(500, 9500).
Hence:
P(x) = a(x - 500)² + 9500.
When x = 0, P(x) = -3000, hence the leading coefficient a is obtained as follows:
0 = a(-3500)² + 9500
a = -1/20.
Then the equation is:
P(x) = -1/20(x - 500)² + 9500.
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Find the volume of the composite figure.
7 cm
1 cm
6 cm
2 cm
3 cm
The volume of the composite figure is
cubic centimeters.
Answer:
It is 48 cm^3Step-by-step explanation:
\(v =( 7 \times 6 \times 1) + (3 \times 2 \times 1) \\ v = 42 + 6 \\ v = 48 \: {cm}^{3} \)
I hope that is useful for you :)
In the figure below, two secants are drawn to a circle from exterior point V.
Suppose that VZ=30, VW=45, and VX=22.5. Find XY.
The value of secant XY is 37.5 units.
How to find the value of secant XY?The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".
Using the theorem above, we can say:
VZ * VW = VX * VY
30 * 45 = 22.5 * VY
22.5VY = 1350
VY = 1350/22.5
VY = 60 units
Since VY = VX + XY. We have:
60 = 22.5 + XY
XY = 60 - 22.5
XY = 37.5 units
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10
Use the cards 1-10. Draw cards without replacing.
A.
B.
CÓ Ư
C.
D.
E.
F.
P(6, then 1)
P(even, then 5)
P(8, then odd)
P(3, then prime)
P(prime, composite)
P(even, then 3, then 5)
4
8
2
6
9
3
10
A. P(6, then 1) = 1/90
B. P(even, then 5) = 1/18
C. P(8, then odd) = 1/18
D. P(3, then prime) = 2/45
E. P(prime, composite) = 4/15
F. P(even, then 3, then 5) = 1/144
Given:
Total number of cards: 10
A. P(6, then 1):
P(6, then 1) = 1/10 x 1/9
= 1/90
B. P(even, then 5):
Number of favorable outcomes: 5 x 1 = 5
P(even, then 5) = 5/10 x 1/9
= 1/18
C. P(8, then odd):
Number of favorable outcomes: 1 x 5 = 5
P(8, then odd) = 1/10 x 5/9
= 1/18
D. P(3, then prime):
Number of favorable outcomes: 1 x 4 = 4
P(3, then prime) = 1/10 x 4/9
= 2/45
E. P(prime, composite):
Number of favorable outcomes: 4 x 6 = 24
P(prime, composite) = 4/10 x 6/9
= 4/15
F. P(even, then 3, then 5):
Number of favorable outcomes: 5 x 1 x 1 = 5
P(even, then 3, then 5) = 5/10 x 1/9 x 1/8
= 1/144
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The lines on the graph below represent the cost of apples at four different stores.
Cost of Apples
10-
9
Total Cost in Dollars
C
2 3 4 5 6 7 8 9 1
Pounds of Apples
At which store is the cost of apples the least?
O A
The store at which the apple will cost the cheapest is: Store A
How to find the slope of the line graph?The formula for the slope between two coordinates is:
Slope = (y₂ - y₁)/(x₂ - x₁)
Now, all the lines in the attached graph pass the origin and so they will all have the coordinate (0, 0)
The slope for each line will give us the cost for each apple in the store.
Thus:
Slope for store A = (3 - 0)/(4 - 0)
Cost for store A apple = $0.75
Slope for Store B = (5 - 0)/(5 - 0)
Cost for store B apple = $1
Slope for Store C = (5 - 0)/(4 - 0)
Cost for store C apple = $1.25
Slope for Store D = (6 - 0)/(3 - 0)
Cost for store C apple = $2
Thus, store A has the cheapest Apple
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What is the 4th term of the linear sequence below? 6 , 13 , 20 , 27 , 34 ,
Answer: 27
Step-by-step explanation:
6 is the 1st
13 is the 2nd
20 is the 3rd
27 is the 4th
34 is the 5th
A gallon of paint will cover 610 square feet of wall space. If I plan to paint a room whose walls measure 3050 square feet, how many gallons of paint will Ineed?To paint the room,gallons of paint will be needed.
Given:
1 gallon can cover 610 sq. ft.
3050 sq. ft. = total area of the room to be painted
Solution:
3050 sq. ft./610 sq. ft/gallon = 5 gallons
ANSWER: 5 gallons are needed to paint the room.
Colette made a scale drawing of the elementary school. The scale of the drawing was 1 millimeter : 5 meters. The schoolyard is 34 millimeters long in the drawing. How long is the actual schoolyard?
Answer:
170 METERS
Step-by-step explanation:
because 1millimeter is 5meter
34 multiplied by 5 = 170
At an arcade, a book of 20 tickets costs $5, a book of 30 tickets costs $7, and a book of 50 tickets costs $10. Would a graph of the relationship between price and number of tickets in a book be a straight line? Explain.
Answer:
yes
Step-by-step explanation:
Consider the following story:
Three men walk into a hotel and ask to share a room. The cost is going to be $270 for
the night. Each man puts in a $100 bill and they get 3 $10 bills in change. The bell boy
carries their luggage and they each decide to be generous and tip the bell boy their change.
The front desk realizes they miss-charged the men, so the bell boy takes a $20 bill change to
the room. The men realize that you can’t split the $20 bill evenly 3 ways so they add it onto
the tip. The bell boy is happy but then thinks to himself: ”If the room is $270 and they had
this extra $20 that’s only $290, where did the other $10 go?”
Explain what is wrong with the Bell Boy’s thoughts, and what is the correct math here.
Answer:
Step-by-step explanation:
The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip
Total money of the three men: 3($100) = $300
They paid $270 for the room: $300 - $270 = $30
Tip for the bell boy: $30 - $30 = $0
Amount overcharged to them: $0 + $20 = $20
Tip to the bell boy: $20 - $20 = $0
They were left with no more money from the original $300.
What is the distance between point T (-5,1) and point I (-1,1)
The distance between point T (-5, 1) and point I (-1, 1) is 4 units.
To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):
x1 = -5, y1 = 1 (coordinates of point T)
x2 = -1, y2 = 1 (coordinates of point I)
Plugging these values into the formula, we have:
Distance = √((-1 - (-5))² + (1 - 1)²)
= √(4² + 0²)
= √(16 + 0)
= √16
= 4
Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.
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I am stumped >:( ahhhhhhh
Answer:
\(\frac{1}{32} yards^{3}\)
Step-by-step explanation:
\(V=w*h*l\)
↓
\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)
=
\(\frac{1}{32} yards^{3}\\\)
Hope this helps!
the difference between factors and factor pairs
Answer:
Factors are often given as pairs of numbers, which multiply together to give the original number. These are called factor pairs. A square number will have one factor pair consisting of one factor multiplied by itself. This factor is called the square root of the given number.
(-2+6y+3x)(-3) distributive property to remove the parentheses
Answer:
6-18y-9x
Step-by-step explanation:
PLEASE HELP ME!! Kevin earns a base salary of $350.00 every week with an additional 12%
commission on everything he sells. If Kevin sold $4950.00 worth of items
last week, what was his total pay?
============================================================
Explanation:
He sold $4950 worth of items. Take 12% of this amount to get
12% of 4950 = 0.12*4950 = 594
So he earns $594 in commission on top of the $350 base salary paid every week. In total, he earns 594+350 = 944 dollars for that week
This isn't the per week pay because he would need to sell exactly $4950 worth of goods each week to keep this same weekly pay.
what is the volume of the cylinder below height 15 radius 11
Answer:
πr^2 h
π(11)^2 (15)
= 1815π or = 5701
Complete the proof to show that ABCD is a parallelogram. On a coordinate plane, quadrilateral A B C D is shown. Point A is at (negative 2, negative 2), point B is at (negative 3, 4), point C is at (2, 2), and point D is at (3, negative 4). The slope of Line segment B C is StartFraction 4 minus 2 Over negative 3 minus 2 EndFraction = negative two-fifths The slope of Line segment A D is StartFraction negative 4 minus (negative 2) Over 3 minus (negative 2) EndFraction = StartFraction negative 4 + 2 Over 3 + 2 EndFraction = negative two-fifths The slope of Line segment C D is StartFraction 2 minus (negative 4) Over 2 minus 3 EndFraction = StartFraction 2 + 4 Over 2 minus 3 EndFraction = StartFraction 6 Over negative 1 EndFraction = negative 6 The slope of Line segment B A is StartFraction 4 minus (negative 2) Over negative 3 minus (negative 2) EndFraction = StartFraction 4 + 2 Over negative 3 + 2 EndFraction = StartFraction 6 Over negative 1 EndFraction = negative 6 and because the ________________________________. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.
Answer:
Slopes of parallel lines are equal
Step-by-step explanation:
On a coordinate plane, quadrilateral ABCD is shown. Point A is at (-2, -2), point B is at (-3, 4), point C is at (2, 2), and point D is at (3, -4).
The slope of the line segment BC is:
\(\dfrac{4-2}{-3-2} =-\dfrac{2}{5}\)
The slope of the line segment AD is:
\(\dfrac{-4-(-2)}{3-(-2)} =\dfrac{-4+2}{3+2}=-\dfrac{2}{5}\)
The slope of the line segment CD is:
\(\dfrac{2-(-4)}{2-3} =\dfrac{2+4}{2-3}=\dfrac{6}{-1}=-6\)
The slope of the line segment BA is:
\(\dfrac{4-(-2)}{-3-(-2)} =\dfrac{4+2}{-3+2}=\dfrac{6}{-1}=-6\)
Because the slopes of parallel lines are equal. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel.
Answer:
c.) on edg.
Step-by-step explanation:
got it right :)
Use slopes to determine if the lines 5x−4y=−1 and 4x−y=−9 are perpendicular.
Answer:
Not perpendicular
Step-by-step explanation:
Convert it to y-intercept form first:
5x - 4y = -1
-4y = -5x - 1
y = 5/4x + 1/4
4x - y = -9
-y = -4x - 9
y = 4x + 9
y = 5/4x + 1/4
y = 4x + 9
From the slopes, they are not considered perpendicular because one of the line slope is not a negative reciprocal of the other line slope.
Answer:
The lines are not perpendicular.
Step-by-step explanation:
If the lines are perpendicular, the product of the slopes should be -1.
These equations are in standard form (Ax + By = C), so we can easily find the slopes through using equation: slope= - A / B
For line 5x−4y=−1,
slope = -A / B
= - 5 /- 4
= 5/4
For line 4x−y=−9
slope = -A / B
= - 4 / -1
= 4
Now multiply the slopes to find the product:
5 /4 x 4
= 5
Since 5 ≠ -1, the lines are not perpendicular.
What is B^2+8b+7??
Can someone explain it step by step please?
Step-by-step explanation:
B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).
To factor a quadratic expression, you can use the following steps:
1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).
2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.
In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:
(b+7)(b+1)
This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).
Here is a step-by-step explanation of how to factor B^2+8b+7:
1. The coefficient of the middle term is 8.
2. The constant term is 7.
3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.
4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).
Squares are Rhombus but not rectangles true or false
Answer:
True
Step-by-step explanation:
Rhombus is a sideways SQUARE
Answer: True
if you turn a square 45 degrees to the side it is a rhombus
How many different sums of money can be made from 4coins of different denomination
Answer:
15 different sums----------------------
There are various combinations of coins.
1 coin:4 options2 coins:4C2 = 4!/(2!2!) = 6 options3 coins:4C3 = 4!/(3!1!) = 4 options4 coins: 1 optionIn total there are:
4 + 6 + 4 + 1 = 15 different sumsWich quadrilaterals always have consecutive angles that are supplementary
Answer:
PARALLELOGRAMS (rectangles, squares, and rhombi): 1) Opposite sides of a parallelogram are congruent. 2) Opposite angles of a parallelogram are congruent. 3) Consecutive angles in a parallelogram are supplementary.
Step-by-step explanation:
The quadrilaterals which have supplementary consecutive angles are called; Parallelogram.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
The quadrilaterals which have supplementary consecutive angles are called Parallelogram.
A parallelogram is a kind of quadrilateral which has two parallel sides on each opposite sides which are equal and the opposite angles in a parallelogram are also equal.
The consecutive angles of a parallelogram are supplementary refers that the sum of the consecutive angles in a parallelogram is equal to 180 degrees. The total sum of all the angles in a parallelogram is 360 degrees as it is a quadrilateral.
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Name an equation parallel to: y = -2/3 x + 10
Answer: The answer is...
y = -2/3 x + 1
Step-by-step explanation:
The others would have crossed paths with y = -2/3 x + 10
what is 48,000 rounded to the nearest ten thousand
50,000 because 8 is larger than 5 so you round up to 5 in the ten thousands place.
A car is driving away from El Paso with constant velocity. At 1 p.m., it is 145 miles away from El Paso. At 3 p.m., it is 275 miles away from El Paso.
Part A: Write a linear function that describes the distance (in miles) the car is from El Paso in terms of time (in hours after 12:00 p.m.).
The linear function that describes the distance (in miles) is therefore y = 65x + 80
How to solve for the linear functionWe have to find the slope and the intercept in other to get the linear function
The data points are:
(1, 145) and (3, 275).
m = (y2 - y1) / (x2 - x1)
fixing the data points we have
m = (275 - 145) / (3 - 1)
= 130 / 2
= 65
y = mx + b
(1, 145):
145 = 65(1) + b
b = 145 - 65
= 80
y intercept is 80
The linear function is therefore y = 65x + 80
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what is an example of a situation that you might be able to use an equation with a single unknown to understand
Answer:An example of a situation that you might not be able to use an equation with a single unknown is
Step-by-step explanation:
beep boop bop!
The area of rectangle ABCD below is 30 cm².
What is the area of the shaded portion?
Answer:
The area of shaded portion is 15cm^2
Step-by-step explanation:
Since the length of corresponding side of the rectangle are equal
AB = CD
AD = BC
So, △ABD ≌ △BCD
the area of shaded portion
= area of △ABD
= half of the area of rectangle
= 1/2 ✖ 30cm^2
= 15cm^2