First, let's take a look at the larger polygon. The topmost side is 7 units long. Now, let's look at the small polygon. The topmost side is 1 unit long.
These polygons differ by a scale factor of 1/7.
7 * (1/7) = 1
49 * (1/7) = 7
Now, we know that x = 7.
The larger polygon has side lengths of 7, 49, 7, 49
The smaller polygon has side lengths of 1, 7, 1, 7
Order the numbers from greatest to least. [-0.5, 1.5, 0, -5, 1.25]
a. 0, 1.5, 1.25, -0.5, -1.5 b. -0.5, -5, 0, 1.5, 1.25
c. 1.5, 1.25, 0, -5, -0.5 d. 1.5, 1.25, 0, -0.5, -5
Answer:
d
Step-by-step explanation:
-5 is the least because it is the furthest from zero, -0.5 is greater than -5 because it is closer to zero, zero is zero, 1.25 is less than 1.5
7. Write the explicit formula for the geometric
sequence 32, 16, 8, 4,...
Answer:
The sequence is the ratio of 4:8, or 16:32. This is because the sequence needs to be divided into 2 different factors in order for it to match. The sequence is...
add 4, add 8, add 16, continue on.
The formula is...
4 * x = sequence
In this case, x is the increasing factor. I substituted it due to the fact that it's a constantly increasing number, not just a straight-up number we can declare.
BRAINLIEST FOR CORRECT ANSWER!
Ethan bounces a tennis ball on the ground. Each time the ball bounces, it's height gets cut down until it comes to a stop. Ethan recorded the height of the tennis ball on each bounce as seen in the table above.
List the missing terms from the table.
Using a geometric sequence, it is found that the missing terms of the table are, respectively, given by:
[tex]243, 1, \frac{1}{81}[/tex]
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
From the table, we get that the common ratio is of [tex]q = \frac{1}{3}[/tex], hence each term is the previous divided by 3, or the next multiplied by 3. Hence, the missing terms are given by:
[tex]3 \times 81 = 243[/tex]
[tex]3 \times \frac{1}{3} = 1[/tex]
[tex]\frac{1}{27} \times \frac{1}{3} = \frac{1}{81}[/tex]
More can be learned about geometric sequences at https://brainly.com/question/11847927
please answer these ignore the answers already there
Answer:
first pic- 1. slope is -2/3, y-inter is 1, y=-2/3x+1
2.slopeis 3/-2, y-inter is -1, y=3/-2x+(-1)
Answer:
second pic- 1. slope is -3/-2, y-inter is 0, y=-3/-2x+0
2. slope is 1/2, y-inter is -1, y=1/2x+(-1)
Roberto wrote a sentence that describes an equation.
Half of a number is 45.
Which choice shows Roberto’s equation and its solution?
2 x = 45; x = 90
StartFraction 45 Over 2 EndFraction = x; x = 22.5
StartFraction x Over 2 EndFraction = 45; x = 22.5
StartFraction x Over 2 EndFraction = 45; x = 90
Answer: D: x/2 = 45; x = 90
Step-by-step explanation:
half of a number is 45:
x/2 = 45
.: x = 90
Your answer is D
Answer:
D
Step-by-step explanation:
Write the 4th term of the sequence defined by the explicit rule, f(n) = 3n^2 + 7. (n^2 means n squared)
Answer:
55
Step-by-step explanation:
I'm assuming n is the term #..
[tex]f(4) = 3(4)^2+7[/tex]
f(4) = 3 * 16 + 7
f(4) = 48 + 7
f(4) = 55
What is the slope (3, 0) 5,14)
Answer:
7
Step-by-step explanation:
y2-y1/x2-x1= 14-0/5-3 14/2=7
You supervise a team of seven workers. You record the number of team members who reach
their production goal each day. For the past week, you record the following data: Monday 5
team members reached their goal; Tuesday 4 team members reached their goal; Wednesday 2
team members reached their goal; Thursday 7 team members reach their goal; Friday 3 team
members reached their goal. What was the average number of team members who reached
their goal per day?
Answer:
4.2 team members per day
Step-by-step explanation:
5 + 4 + 2 + 7 + 3 = 21
21/5 = 4.2
An average is the arithmetic mean of a set of observations. The average number of team members who reached their goal per day is 4.2.
What is Mean?An average is the arithmetic mean of a set of observations. it is given by the formula,
[tex]\rm Average=\dfrac{\text{Sum of All the workers of reached their goal}}{\text{Number of working days}}[/tex]
As it is given that the Number of team members that reach their goal on the weekdays Monday, Tuesday, Wednesday, Thursday, and Friday are 5, 4, 2, 7, and 3 respectively. Therefore, the average number of team members who reached their goal per day can be written as,
[tex]\rm Average=\dfrac{\text{Sum of All the workers of reached their goal}}{\text{Number of working days}}\\\\\\Average = \dfrac{5+4+2+7+3}{5} = \dfrac{21}{5}=4.2[/tex]
Thus, the average number of team members who reached their goal per day is 4.2.
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Can't figure this out, have been trying for a half hour now.
Answer:
45
Step-by-step explanation:
this is correct this is correct
Nico did 78 sit-ups in 2 minutes.
What is the Unit Rate?
sit-ups per minute
At this rate, how many sit-ups can Nico do in 5 minutes?
78 sit ups in 2 minutes
so
= 78 : 2 sits in 1 minute = 39 sits up per minute
x 5 = 195 sit ups in 5 minutes
Answer: 39 situps per time
Step-by-step explanation:
In ΔOPQ, \text{m}\angle O = (2x-5)^{\circ}m∠O=(2x−5) ∘
, \text{m}\angle P = (3x-8)^{\circ}m∠P=(3x−8) ∘
, and \text{m}\angle Q = (10x-17)^{\circ}m∠Q=(10x−17) ∘. What is the value of x?x?
Answer: 14
Step-by-step explanation:
What is the X and Y of this??????
Answer:
see attached for a graph
Step-by-step explanation:
It looks like you want to plot a graph of the function. For a piecewise function like this one, the effort is divided into pieces. The "or equal to" part of the comparison symbol tells you the end value is included in that interval.
__
For the piece between x=-8 and x=-6, you can find the y-values by evaluating the function for those x-values.
For x = -8: y = -1/2(-8) = 4.
For x = -6: y = -1/2(-6) = 3.
So, the left piece can be plotted by drawing a line segment between points (-8, 4) and (-6, 3).
__
For the piece between x=-6 and x=1, you can do the same thing:
For x=-6: y = -(-6) -3) = 6-3 = 3
For x=1: y = -(1) -3 = -4
So, the right piece can be plotted by drawing a line segment between points (-6, 3) and (1, -4). We notice that (-6, 3) is already the end point of the first piece, so the function is continuous at x=-6. (Sometimes there is a discontinuity between pieces. Not here.)
You can also plot the right piece by recognizing it is a line with a y-intercept of -3 and a slope of -1. That is, point (0, -3) will be on that line, and it will have a "rise" of -1 for each "run" of 1 (to the right).
__
A graph is shown. We have made the pieces different colors, so you can see what they are. And we have plotted a filled dot at (-6, 3) to indicate that point is part of the function definition. (The dot is unnecessary.)
Which statements about mass are true?
Select each correct answer.
One gram is 1,000 times greater than one kilogram.
Grams are greater than kilograms.
A gram is smaller than a kilogram.
One kilogram is 1,000 times greater than one gram.
One gram is 100 times less than one kilogram.
One kilogram is 100 times greater than one gram.
Answer:
1=false 2=false 3=true 4=true 5=false 6=false
Step-by-step explanation:
find the value of x. show your work
Answer:
X = 6
Step-by-step explanation:
Since the two angles are equal, in order to solve for X, you set the two equal:
40° = (4 + 6x)°
-4 -4
36° = 6x
36°/6 = 6x/6
6 = X
X = 6
Hope this helps!
I left the work too ;)
Find the missing length.
Pythagorean Theorem:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
Answer:
[tex] \huge \boxed{c = 4 \sqrt{2} }[/tex]
Step-by-step explanation:
Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x
Using Pythagoras theorem we have
c² = a² + b²
where
c is the hypotenuse
So from the question we have
[tex] {c}^{2} = {4}^{2} + {4}^{2} \\ c = \sqrt{16 + 16} \\ c = \sqrt{32} \: \: \: \: \: \: \: \: \: \\ \\ \\ c = 4 \sqrt{2} \: \: \: \: \: \: \: \: [/tex]
Hope this helps you
A scale drawing for a plot of land is shown below. In the drawing, 3 cm represents 4 m. Assuming the backyard is rectangular, find the area of the real backyard
Answer:
[scale]=[drawing]/[real]-----------> [real]=[drawing]/[scale]
scale=3 cm/ 4 m------> 0.75 cm/m
the dimensions of backyard in the drawing are 9 cm x 6 cm
step 1
find the real dimensions of backyard
for 9 cm
[real]=[drawing]/[scale]
[real]=[9]/[0.75]----------> 12 m
for 6 cm
[real]=[drawing]/[scale]
[real]=[6]/[0.75]----------> 8 m
so
the real dimensions of backyard are 8 m x 12 m
[the area of the real backyard ]=8*12--------> 96 m²
the answer is 96 m²
WILL GIVE BRAINIEST AND EXTRA 100 POINTS FOR ANSWERING THIS QUESTION CORRECTLY!!
Answer: y = (1/7) x - 2
Step-by-step explanation:
The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
The slope of an equation is the change in y over the change in x.
We can see from the image that every time the line increases by 1 in the rise (y), it increases by 7 in the run (x).
Therefore, the slope is 1/7.
The y-intercept of a line is the point at which it intercepts the y-axis.
From the image, we can see that it intersects at the point (0,-2)
Therefore, the slope-intercept form is y = (1/7) x - 2
Take two points
(0,-2)(-7,-3)Slope:-
[tex]\\ \sf\longmapsto \dfrac{-1}{-7}=\dfrac{1}{7}=m[/tex]
Equation in point slope form
[tex]\\ \sf\longmapsto y+3=1/7(x)[/tex]
[tex]\\ \sf\longmapsto y=1/7x-3[/tex]
2. A sandwich shop has 48 pounds of sliced turkey.
Each 8-inch sub sandwich is made with pound
of turkey. How many 8-inch sandwiches can the
shop make?
A. 80
B. 72
C. 48
D. 32
Answer:
the answer is C. 48
Step-by-step explanation:
Which of these statements best describes a biased sample?
A. The sample is small
B. The sample has results that are incorrect predictions
C. The sample does not accurately represent the population
D. The sample was chosen randomly
A biased sample is best described by:
C. The sample does not accurately represent the population.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample, which is a group of members of this population. The sample has to be representative of the population, that is, it has to involve all of it's groups. If it does not involve all the groups, it is not an accurate representation of the population, and is called biased, hence option C is correct.
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A measurement is taken to be 13.6 in. and the absolute error is 0.05 in. What
is the percent of error? Round off your answer to 3 decimal places. *
Given parameters:
True value of measurement = 13.6in
Absolute error = 0.05in
Unknown:
Percent of error = ?
Solution:
Error is an inconsistency introduced into a particular data set or reading.
% error = [tex]\frac{absolute error}{true value}[/tex] x 100
% error = [tex]\frac{0.05}{13.6}[/tex] x 100 = 0.368%
Percent error is 0.368%
After multiplying a calculator screen displays the answer is shown below. How would you write this number in standard form? And say your answer in the box. Include commas in your answer.
*you’ll receive brainliest & 15 points for answer quickly & correctly!*
8,234 E14
Answer:
In standard from, the value will be 8.234 * 10^17
Step-by-step explanation:
The answer shown on the screen of the calculator after multiplying is;
8,234 E14
This is same as;
8,234 * 10^14
In the stands from, this will be;
8.234 * 10^3 * 10^14 = 8.234 * 10^17
A snowstorm dumped 18 inches of snow in a 12-hour period. How many inches were falling per hour?
Answer:
1.5 inches
Step-by-step explanation:
18 divided by 12 = 1.5
The ozone layer helps to sustain terrestrial life by __________.
a.
absorbing incoming UV radiation
b.
keeping levels of ozone in the troposphere low
c.
maintaining the Earth's temperature structure
d.
all of the above
Please select the best answer from the choices provided
A
B
C
D
Answer:
the answer is D.all of the above
Step-by-step explanation:
The ozone layer helps to sustain terrestrial life by absorbing incoming UV radiation.
Option A is the correct answer.
What is an ozone layer?The ozone layer is a layer of gas in the Earth's stratosphere that helps to protect the planet from the harmful effects of ultraviolet (UV) radiation from the sun.
We have,
UV radiation can cause damage to living organisms, such as skin cancer, cataracts, and other health problems.
The ozone layer absorbs much of this radiation, preventing it from reaching the Earth's surface and thus helping to sustain terrestrial life.
Option B is incorrect because the ozone layer is located in the stratosphere, above the troposphere.
Option C is incorrect because while the ozone layer can play a role in maintaining the Earth's temperature, its primary function is to absorb UV radiation.
Option D is incorrect.
Thus,
The ozone layer helps to sustain terrestrial life by absorbing incoming UV radiation.
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F(x) = - 2x -4
What is x when F(x) = 10.
Your answer:
a. 11
b. -8
C.-7
Answer:
C
Step-by-step explanation:
f(x) = -2x-4
When, f(x) = 10,
-2x-4 = 10
-2x = 14
x = -7
Answer is C
can you please help me with this question
need some help with the question in the image
Step-by-step explanation:
cost of 1 kg of jam = x
cost of 1 kg of butter = y
3x + 2y = 29 .....1
6x + 3y = 54 .....2
.....1 × 2 both sides of equation
6x + 4y = 58 .....3
.....3 - ......2
y = 4
replace y = 4 in 1......
3x + 8 = 29
x = 7
what is an equation of the line that passes through the point (5, -7) and has a slope of 0
Answer:
y=-7
Step-by-step explanation:
Simple enough. Slope of zero means that x does not have to be determined. So if you just put the y coordinate in a slope of zero, you should get your answer.
The equation of line is y = -7.
Equation of line is,
[tex]y=mx+c[/tex]
Where m is slope.
Given that, slope is 0.
Equation of line become, [tex]y=0*x+c=c[/tex]
And Line passes through the point (5, -7)
Substitute these point,
[tex]c=-7[/tex]
Hence, equation of line is, [tex]y=-7[/tex]
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Please assist, no links
Answer:
[tex]\frac{1}{a^{7} }[/tex]
Step-by-step explanation:
Use this rule:
[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]
So, this gives you
[tex]a^{-13+6}[/tex]
This equates to:
[tex]a^{-7}[/tex]
However, we cant leave the exponent negative, so we use this formula:
[tex]a^{-b}=\frac{1}{a^b}[/tex]
So, the answer is:
[tex]\frac{1}{a^{7} }[/tex]
Answer:
There is no denominator a^-7
The power is positive 1/a^7
Step-by-step explanation:
Remark
We are not told what the restrictions on the power are. Here are the possibilities.
There is no denominator.The power must be positive.So I will give the answer to both conditions. You will have to choose.
There is no denominator
That means that The powers are subtracted
Multiply numerator and denominator by a+6
a^- 13 * a^6
=========
a^-6 * a^6
To start a^(-6 + 6) = a^0 which = 1. That is not written, so you are left with a^ (-13 + 6) = a ^ -7
The answer must have a positive power.
Multiply the numerator and denominator by a^13.
numerator
a^-13 * a^13
a^(-13 + 13)
a^0
1
So we are left with 1 in the numerator.
a^-6 * a^13
a^(-6 + 13)
a^7
Answer: what is left is 1/a^7
Write as a product of two binomials. 22 - 2x + 2 - 2
What is the product of 3/5x4/9
Answer: 4/15
For fraction multiplication, multiply the numerators and then multiply the denominators
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 12 and 45 using
GCF(12,45) = 3
Therefore: it's 4/15
Hope this helps (>'-'<)