Exercise #4: Which of the following equations would model an exponential quantity that begins at a level of
16 and decreases at a constant rate of 8% per hour?
(1) Q =16(0.92)
(3) Q =16(1.08)
(2) Q = 16+0.92
(4) Q =16(-7)
On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4). If a translation of is applied to square ABCD, what is the y-coordinate of B'?
Answer:
The y coordinates of B' is: 8
Step-by-step explanation:
Given
[tex]A = (-5,2)[/tex]
[tex]B =(1,2)[/tex]
[tex]C = (-4,1)[/tex]
[tex]D = (-5,-4)[/tex]
Translation of (x, y) → (x + 6, y – 10) ---Missing from the question
Required
Determine the y coordinates of B'
We have:
(x, y) → (x + 6, y – 10)
And
[tex]B =(1,2)[/tex]
So the translation from B to B' is:
[tex]B (1,2) \to B'(1+6,2-10)[/tex]
[tex]B (1,2) \to B'(7,-8)[/tex]
So, we have:
[tex]B' = (7,-8)[/tex]
The y coordinates of B' is: 8
Answer:
-2
Step-by-step explanation:
Can someone help explain this to me?
Step-by-step explanation:
A. y-5=-4x+4
y=-4x+4+5
y= -4x +9
(0,9)(9/4,0)
Linear relation questions(someone please help I will give brainliest please)
Answer:
See belowStep-by-step explanation:
#1Points given:
(4, -6), (-1, 4)Find the slope using slope formula:
m = (y₂ - y₁)/(x₂ - x₁) = (4 - (-6))/(-1 - 4) = 10/-5 = -2#2Equation of the line in slope-intercept form:
y = mx + bGiven:
slope, m = -3the y- intercept b = 11The line is:
y = -3x + 11#3The y-intercept is the intersection of the line with the y-axis:
b = -1 as per graphTo find the slope select two points and use the slope formula as shown above.
Points (0, -1) and (1, 1), the slope is:
m = (1 - (-1))/(1 - 0) = 2/1 = 2The line is:
y = 2x - 1Select the expression that has a value of 28. (4 points)
Group of answer choices
8 + (4 x 6) ÷ 2 + 7
8 + 4 x 6 ÷ (2 + 7)
(8 + 4 x 6) ÷ 2 + 7
(8 x 4) + 6 ÷ 2 − 7
Answer:
(8 + 4 × 6) ÷ 2 + 7
Step-by-step explanation:
8 + (4 × 6) ÷ 2 + 7 = 27
8 + 24 ÷ 2 + 7
8 + 12 + 7
27
8 + 4 × 6 ÷ (2 + 7) = [tex]10\frac{2}{3}[/tex]
8 + 4 × 6 ÷ 9
8 + 24 ÷ 9
[tex]8 + 2\frac{2}{3}[/tex]
[tex]10\frac{2}{3}[/tex]
(8 + 4 × 6) ÷ 2 + 7 = 23
(8 + 24) ÷ 2 + 7
32 ÷ 2 + 7
16 + 7
23
(8 × 4) + 6 ÷ 2 − 7 = 28
32 + 6 ÷ 2 - 7
32 + 3 - 7
35 - 7
28
Answer:
D
Step-by-step explanation
D
D
The interior angle of a regular polygon is 156º. Find the number of sides of the polygon.
Answer:
15
Step-by-step explanation:
n = 15 sides. Therefore ,The polygon with each interior angle 156° has 15 sides.
Dr. Rodriguez earns an annual salary of $204,000. If social security tax is 6% of your income, then how much will Dr. Rodriguez pay each year in social security tax?
Answer: $12,240
Step-by-step explanation:
(204000)(.06)(1)=12240
Andre earns 5200 a month at his new job. In order to track his spending and saving, he created a monthly
budget Andre divided his income into five categories and created the following círcle graph to represent the
budget he created for himself. Use this circle graph to answer the following questions.
Monthly Budget
Other
28%
Rent
30%
Savings
189
Groceries
15%
Utilities
9%
How much more money does Andre budget for Groceries and Utilities than he does for Savings?? Show
your work. Write your answer as a dollar amount.
Answer:
answer is 312.00
Step-by-step explanation:
Trust me I just took the test
$9000.00 decreased by 0.5% make sure to show your work
Answer: 8550
Step-by-step explanation:
9000(1-0.5)
9000(0.95)
8550
20 is what percent
of 57?
Answer:
20 is 35.0877193% of 57
Step-by-step explanation:
Answer:
35.09
Step-by-step explanation: Hope this helps!
can someone please help me with this:
x/4 ≤ -2
Question is in picture
Answer:
Its A, B, and D
Step-by-step explanation:
I did this just yesterday lol
This is more question of math
Answer: 7 I think
Step-by-step explanation:
In circle o,find the value of x, rounded to the nearest tenth.
Answer:
[tex]\huge\boxed{x \approx 5.4}[/tex]
Step-by-step explanation:
We can break down this problem by first realizing different parts of the circle.
The line which is 8 units long is a chord of the circle.The line that is 3.6 is almost the radius of the circleThe line that x sits on is the radius.With this, we can find out if we find the radius of the circle, we have our answer.
We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.
What we need is a way to find the radius of the circle. This will get us x. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.
If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).
We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:
[tex]\displaystyle a^2 + b^2 = c^2[/tex]Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!
[tex]3.6^2 + 4^2 = c^2[/tex] [tex]12.96+16=c^2[/tex] [tex]28.96=c^2[/tex] [tex]\sqrt{28.96} = c[/tex] [tex]5.4 \approx c[/tex]Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.
The line X does just that. Therefore, the value of x is also 5.4.
Hope this helped!
6. Select all expressions that are equivalent to 1/2 to the third power.
Answer choices:
1/2 half but 2 is divided by 3.
1/8
1/3 to the second power
1/6
1/2x1/2x1/2
.5^3=0.125
Hope this helps.
Suppose jamal fell during one race and recorded a time of 210s. Which of the mean, median, and mode would be most affected
Answer:
Mean would be most affected
Step-by-step explanation:
The mean is defined as the average value . If the data has extreme values then the average value automatically changes.
The median is the value which divides the data in to two halves. It is not affected by the extreme values. The middle value remains the same.
The mode is the value which occurs repeatedly. An extreme value in a data does not affect the mode.
For example I have 5 chocolate bars of sizes 5,6,7,7,9 and another 5 chocolate bars of sizes 5,6,7,7,12
Mean for the two sizes will be 34/5= 6.8 and 37/5=7.4
The median and mode in both sets is 7
So the mean is most affected with change in value.
Select the correct answer from each drop-down menu.
Brittany conducted a series of surveys to gather data on the ages of pet cats. The sample means for each survey are shown in the table,
Sample Mean (years)
Sample
1
15.09
2
14.45
3
14.91
4
15.09
5
14.91
6
15.82
7
14.36
8
15.55
9
14.36
10
15.27
Use this information to complete the statements.
The average of the sample means is
As the number of surveys conducted increases, the average of the sample means approaches the
Answer: The sample mean is 14.98
The second one is NOT standard deviation
Step-by-step explanation: Sorry thats all i got but good luck!
PLEASEEE SOMEE FAST PLSSS HELPPPPPPPP MEE PLSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
i odnt know
Step-by-step explanation:
Quando Rondo is a dead man walking
Answer:
huh? really?
Step-by-step explanation:
:/ thats cool
Answer: yes?
Step-by-step explanation:
Examine the sequence of integers below.
−16, −10, −4, 2, 8, 14
Which algebraic expression represents the nth integer in this sequence?
A.
6n − 16
B.
−6n − 10
C.
−6n + 2
D.
6n − 22
Answer: D
6n-22
Step-by-step explanation:
The diameter of the circle is 9 feet. What is the circumference of the Circle?
Answer:
(ABOUT) 28.27433
Step-by-step explanation:
C = 2πr or dπ (because 2*r = d)
For this case:
C = dπ
C = 9π
C = 28.27433
You can round if you want to (like 28.3 or 29.27).
A ______ is a set of all points in space that are give distance from a given point.
Answer:The set of all points in space that are a given distance from a given point, called the center. ... A radius is a segment whose endpoints are the center and a point on the sphere.
Step-by-step explanation:
A sphere or circle is a set of all points in space that are give distance from a given point.
What is a sphere?A sphere is known to be a set of points that has all at the same distance r that is from a given point in three-dimensional space.
That said point is known to be the center of the sphere, and r is known to be the sphere's radius. The first known mentions of spheres is one that was seen in the work of the ancient Greek mathematicians.
learn more about circle from
https://brainly.com/question/24375372
Suppose the population of a town is 17,400 and is growing 2% each year.
Predict the population after 9 years.
Answer: 20,532
Step-by-step explanation:
17,400(.02)=348
348(9)=3132
17,400+3132=20,532
Answer:
Step-by-step explanation:
This is an exponential growth function of the form:
[tex]y=ab^x[/tex] where a is the initial population and b is the growth rate. This could also be written as
[tex]y=a(1+r)^x[/tex] which is a bit more accurate. We'll use that one. r is the percent growth: 2% for us.
Filling in the formula:
[tex]y=17400(1+.02)^x[/tex] and then simplifying:
[tex]y=17400(1.02)^x[/tex]
That's the model for this population. Filling in any number of years for x will give you the population y. Our time is 9 years:
[tex]y=17400(1.02)^9[/tex]
Take care of the exponents first, giving us:
[tex]y=17400(1.195092569)[/tex] and then multiply to get
y = 20,794.6 or 20,794 people (since you can't have 6/10 of a person)
There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores? 79% 82% 87% 92%
The median of the math scores is = 79%.
You can understand more about calculation of median of a set of numbers below.
Estimation of median scoresThe total number of sophomores is = 8
The percentage score of each sophomore = 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%.
To calculate the median of the percentage scores, arrange the scores in ascending order and pick the figure in the middle as the median math score.
72, 74, 76, 78, 80, 82, 92, 92
Here the median is two figures 78, and 80 which are located in the middle. The median is =>78 +80/2
= 158/2 = 79%
Therefore, the median of the math scores is = 79%
Learn more about median calculation here:
https://brainly.com/question/14532771
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A. 79%
edge 2022 :)
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$9000.00 decreased by 0.5% is what?
Answer:
8955$
It got deleted because an idiot reported me.
help me pls!! giving brainliest and 5 stars
Answer:
A reflection over the line y = x followed by a translation up 3 units
Step-by-step explanation:
Since this is a multiple choice question, let's test each answer out.
First scenario:
"A reflection over the y-axis followed by a translation right 3 units and down 4 units"
Reflect segment XY over the y-axis, we get segment XY between x = 2 and x = 6, on y = 5 line.Translate right 3 units, we get segment XY on y = 5 line, between x = 5 and x = 9.Translate down 4 units, we get segment XY on y = 1 line, between x = 5 and x = 9.Resulting segment does not match segment X'Y', this answer is incorrect
Second scenario:
"A reflection over the line y = x followed by a translation up 3 units"
Reflect segment XY over y = x line, we get segment XY, between y = -2 and y = -6, on x = 5 line.Translate up 3 units, we get segment XY on x = 5 line, between y = 1 and y = -3.Resulting segment matches segment X'Y', this is the correct answer.
How do you find radius from cercumference?
(if at all Possible)
Answer:
r = C/2π
Step-by-step explanation:
You just rearrange the Circumference formula so you can find r.
Circumference formula:
C = 2πr
To find r, you multiply 1/2π on both sides of the equation so you can isolate r:
r = C/2π
To show the relationship between the serving size and the number of pounds of meat needed for a lasagna recipe, a catering company uses the chart below. Lasagna Serving size Pounds of meat 20 2 40 6 80 8 120 12 The employee who created the chart made an error when computing the number of pounds of meat for one of the serving sizes. For which serving size is the ratio of size to pounds of meat different from the other ratios? 20 40 80 120
Answer: 80
Step-by-step explanation: took the test
Answer: its not 80
Step-by-step explanation:
took the test trust me.
What is the value of x in the equation 6(x + 1) – 5x = 8 + 2(x - 1)?
o
AO
12
Answer:
x=0
Step-by-step explanation:
First distribut the 6 and 2
6x+6-5x=8+2x-2
Then put the x to one side and the coefficients to the other side
6x-2x-5x=8-2-6
Simplify
-x=0
x=0
By the way, can you follow me on Brainly?
Thanks!
Which transformations can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4)? a 180degree rotation about the origin a 90degree counterclockwise rotation about the origin and a translation down 4 units a 90degree clockwise rotation about the origin and a reflection over the y-axis a reflection over the y-axis and then a 90degree clockwise rotation about the origin
The transformations that can be used to map a triangle with vertices A(2, 2), B(4, 1), C(4, 5) to A’(–2, –2), B’(–1, –4), C’(–5, –4) is C. a 90 clockwise rotation about the origin and a reflection over the y-axis
What is a Transformation?This refers to the mathematical process where one figure or expression is changed from one form to another that has or contains a similar value.
Given the pair of points (x, y) in the original image, it has been transformed to (-y, -x).
If we allow ABC to be first transformed onto A"B"C" by a 90° clockwise rotation, this would result in:
B(4, 1) being mapped onto B''(1, -4).
Therefore, the rule mapping ABC to A"B"C" is (x, y)→(y, -x)
With this, we can conclude that the transformation that maps (y, -x) to (-y, -x) is a reflection with respect to the y-axis
Option C is the correct transformation.
Read more about transformations here:
https://brainly.com/question/4451635
#SPJ1
Answer:
C
Step-by-step explanation:
