Answer:
2/5 or 0.4
Step-by-step explanation:
Let the number be x
75% of x = 30%
[tex]\frac{75}{100}*x=\frac{30}{100}\\\\x =\frac{30}{100}*\frac{100}{75}\\\\x=\frac{30}{75}\\\\x=\frac{2}{5}[/tex]
The equation y = 200(1.06)X models an exponential function. Determine if the
function is growth or decay and find the growth or decay rate.
Given:
The given function is
[tex]y = 200(1.06)^x[/tex]
To find whether the function is growth or decay and the growth of decay.
Formula:
The function [tex]a(1+r )^x[/tex] is said to be an exponential growth, if the value of a > 0 and r > 0
Again, the function [tex]a(1-r )^x[/tex] is said to be an exponential decay, if the value of a > 0 and 0 < r < 1.
Now,
[tex]y = 200(1.06)^x[/tex]
[tex]y = 200(1+0.06)^x[/tex]
Thus, the value of a > 0 and r > 0, then the given function is an exponential growth function.
Therefore,
The given function is an exponential growth function.
How many degrees are in a quarter circle?
o 25°
40°
o 90°
100°
Answer:
There are 90° in a quarter circle.
Answer:
90 degrees
Step-by-step explanation:
I believe its 90 degrees because if you have half of a protractor it only goes up to 180 degrees but if you have a whole one (dont know if it exists) you will have 360 degrees but if you put that into fourths it would result it in being 90 degrees.
Which rectangular prism has a surface area of 56 square units? [Note: Art is not drawn to scale.]
Answer:
A rectangular prism with a length of 6, width of 2, and height of 4 this is the answer
Answer:
It's B (trust me i just took the test)
Step-by-step explanation:
find the sum of−2 5/10 and−5 4/15. then, in two or more complete sentences, explain the steps you used to add the mixed numbers.
Answer:
- 7 23/30
Step-by-step explanation:
-2 5/10 + -5 4/15
First simplify the fractions if possible
-2 1/2 + -5 4/15
Then, we need to get a common denominator
The common denominator in this case is 30
-2 1/2*15/15 + - 5 4/15*2/2
-2 15/30 + -5 8/30
Since the signs are alike we add
First the whole numbers
2+5 =7
Then the fractions
15/30+8/30 = 23/30
Add the fraction and the whole number together
7 23/30
Take the sign
- 7 23/30
If the fraction was improper, we would change it to a mixed number and add the whole numbers together
Final answer:
To find the sum of −2 5/10 and −5 4/15, convert them to improper fractions, find a common denominator, add them with the negative signs, and simplify if needed, resulting in −7 23/30.
Explanation:
To find the sum of −2 5/10 and −5 4/15, we first convert the mixed numbers into improper fractions. The first step is to add the whole numbers together, and then add the fractions separately.
Since both numbers are negative, when we add them, the answer will also have a negative sign, following the rule that when two negative numbers add, the answer has a negative sign. We find the common denominator for the fractions, which in this case is 30, and convert them accordingly. After adding the converted fractions, we simplify the result if possible.
To illustrate, for the whole numbers: −2 + (−5) = −7. For the fractions: −(5/10 × 3/3) + −(4/15 × 2/2) = −(15/30) + −(8/30) = −(23/30). Thus, the sum is −(7) − (23/30) or −7 23/30.
What’s the answer?
^^^^^^^^^^^^^^
(PLEASE ANSWER NOW)
Hey there!
Solving for equation: y = 9x + 2
Replace (for now) 9x + 2 for y in the equation: y = 3x + 12
y = 3x + 12
↪ 9x + 2 = 3x + 12
ADD by -3 on both of your sides
9x + 2 + (-3x) = 3x + 12 + (-3x)
If you solved that correctly you should get: 6x + 2 = 12
ADD by -2 on both of your sides
6x + 2 + (-2) = 12 + (-2)
Cancel out: 2 + (-2) because it gives you 0
Keep: 12 + (-2) because it helps us solve for our x-interpret
12 + (-2) = 10
NEW EQUATION: 6x = 10
DIVIDE by 6 on your sides
6x/6 = 10/6
Cancel out: 6x/6 because it gives you 1
Keep: 10/6 because it helps us solve for our x-intercept
10/6 = 10÷2/6÷2 = 5/3
Thus our x = 5/3
Solving for y = 9x + 2
Replace x with 5/3 since we found our x
y = 9(5/3) + 2
9(5/3) = 15
15 + 2 = 17
Thus our y = 17
Overall answer: a = 5/3 & y = 17 ✅ (Option D)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Write a polynomial f(x) that satisfies the given conditions.
Polynomial of lowest degree with zeros of
(multiplicity 2) and
(multiplicity 1) and with f(0) = -1.
Can someone do this?
Answer:
[tex] f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1 [/tex]
Step-by-step explanation:
Recall, if we have a polynomial of the form [tex](x-a)^k \cdot (x-b)^m[/tex], then we say that a is a zero of multiplicity k and b is a zero of multiplicty m. For example, in the polynomial of the form [tex](x+5)^10(x-2)^3[/tex] -5 is a zero of multiplicity 10 and 2 is a zero of multiplicity 3. If we want to know the degree of the polynomial, just add the multiplicity of both zeros (13 in our example).
In this case, we know that the degree of our polynomial should be at least 3(multiplicity 2 and multiplicity 1). So, lets take the polynomial of the form
[tex]f(x)=(x-a)(x-b)^2)[/tex].
In here, a is a zero with multiplicity 1 and b is a zero with multiplicity 2. We are also given that
[tex] f(0) = -1 = (0-a)(0-b)^2 = -a\codt b^2[/tex].
Which implies that [tex] 1 = a\cdot b^2[/tex]. Since the square of any number is a positive number, it must happen that a>0. So, we have that
[tex]b= \pm \sqrt[]{\frac{1}{a}}[/tex].
We can choose any value of a and solve for b. Let us choose a=4. So we can have b=1/2 or b=-1/2. Let's use b=1/2. So our polynomial would be
[tex] f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1 [/tex]
which we can easily check that f(0)=-1.
How was figure DEF been transformed to form figure ABC ?
Answer:
90° rotation around (0,0)
Answer:
90 rotation around (0, 0)
Step-by-step explanation:
Can more than one triangle be drawn with two side lengths of 6 inches and a nonincluded angle of 60°? Explain?
Answer:
No This is an unique triangle.
Step-by-step explanation:
Given that:
Two side lengths of 6 inches=> it is an isosceles triangle
According to the property of an isosceles triangle, the measurements of the two non-included angle are equal.
In this situation, a non included angle of 60°=> This is an equilateral triangle because the two non-included angles and include angle ( 180° - 2 *60°) are 60° .
This is an unique triangle.
Answer:No because you cannot form another triangle out of it. It only makes 1 shape.
Step-by-step explanation:
Amy printed a square picture that was 225% the size of the original picture. The length of the side of her original picture was 4 inches. Choose True or False for each statement.
Answer:
because i cant see the true or false parts i can help by giving some basic answers
Step-by-step explanation:
the new length is 9 in. (4 x 2.25=9, change the percent to a decimal)because it is a square the area of the original is 16 in.^2 and the new area is 91 in.^2you change the percent to a decimalif there are more true or false parts to this question please leave a comment with them so i can hopefully answer them.
Final answer:
Amy's printed picture, which is 225% the size of the original picture with a 4-inch side, would have a new side length of 9 inches, making it larger than the original. The statements truthfully state that the picture is larger and the size scale is 2 ¹/₄ in terms of the sides, but the area would be scaled by the square of the side scale factor.
Explanation:
When Amy prints a square picture at 225% of the original size, and the original picture has a side length of 4 inches, then the new side length can be determined by calculating 4 inches × (225/100). The correct calculation for the side length of Amy's printed picture should be 4 inches × 2.25 (or 225%) which equals 9 inches.
Therefore, the statements should be evaluated as follows:
Amy's printed picture is larger than the original picture. - TrueThe length of the side of Amy's printed picture is 2 ¹/₄ inches. - False, since the correct side length is 9 inches.Amy's printed picture is 22.5 times the size of her original picture. - False, the size in terms of area scales with the square of the scale factor.Amy's printed picture is 2 ¹/₄ times the size of her original picture. - True, if considering the scale factor of the sides, but in terms of area, it would actually be (2.25)² times the original size.
There are 53 students on the Jackson Middle School basketball teams. The number of 8th graders is 15 fewer than three times the number of 7th graders.
How many 7th and 8th graders are on the basketball teams?
7th graders
-----------------------
8th graders
-----------------------
Answer:
The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36
Step-by-step explanation:
Let
x ----> the number of 7th students on the Jackson Middle School basketball teams
y ----> the number of 8th students on the Jackson Middle School basketball teams
we know that
There are 53 students on the Jackson Middle School basketball teams
so
[tex]x+y=53[/tex] -----> equation A
The number of 8th graders is 15 fewer than three times the number of 7th graders
so
[tex]y=3x-15[/tex] ----> equation B
substitute equation B in equation A
[tex]x+(3x-15)=53[/tex]
solve for x
[tex]x+3x=53+15\\4x=68\\x=17[/tex]
Find the value of y
[tex]y=3(17)-15=36[/tex]
therefore
The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36
Final answer:
To solve the problem, we set up an equation where x represents the number of 7th graders and solved it to find that there are 17 7th graders and 36 8th graders on the Jackson Middle School basketball teams.
Explanation:
The problem states that there are 53 students in total on the Jackson Middle School basketball teams, with the number of 8th graders being 15 fewer than three times the number of 7th graders. Let's denote the number of 7th graders as x. Thus, the number of 8th graders is 3x - 15. The total number of students on the basketball teams is the sum of the 7th and 8th graders, which can be represented by the equation x + (3x - 15) = 53.
Solving the equation:
4x - 15 = 53
4x = 68
x = 17 (number of 7th graders)
3x - 15 = 3(17) - 15 = 51 - 15 = 36 (number of 8th graders)
So, there are 17 7th graders and 36 8th graders on the Jackson Middle School basketball teams.
If g^2+1/g^2=51, find the positive value of g-1/g
Answer:
7
Step-by-step explanation:
Note that
(g - [tex]\frac{1}{g}[/tex] )² = g² - 2 + [tex]\frac{1}{g^2}[/tex] = 51 - 2 = 49
Take the square root of both sides
g - [tex]\frac{1}{g}[/tex] = [tex]\sqrt{49}[/tex] = 7 ← the positive value
Find the equation of the line.
Use exact numbers.
y=___x+_____
Help please.Round to the nearest hundredths
Answer:
2637.00 cubic feet
Step-by-step explanation:
Given object is a hemisphere:
Volume of hemisphere is given as:
[tex]V = \frac{2}{3} \pi {r}^{3} \\ \\ =\frac{2}{3} \times 3.14 \times {(10.8)}^{3} \\ \\ = \frac{2}{3} \times 3.14 \times 1,259.712\\ \\ = \frac{2}{3} \times3,955.49568 \\ \\ = \frac{7,910.99136}{3} \\ = 2,636.99712 \: {ft}^{3} \\ = 2637.00\: {ft}^{3} [/tex]
will give brainliest
Answer:
15 inches^2
Step-by-step explanation:
The area of a triangle can be found using:
a=1/2 bh
We know the base (b) is 6, and the height (h) is 5, so we can substitute them in
a= 1/2 (6)(5)
a=1/2 (30)
a=15
The area is 15 inches^2
Which rate is the lowest price?
A.) $6.20 for 4
B.) $5.50 for 5
C.) $5.00 for 4
D.) $1.15 for each
Answer:
The correct answer is$5.50 for 5
Step-by-step explanation:
5.50/5=1.1
Answer:
The lowest is B) 5.50 for 5
Step-by-step explanation:
To find the lowest rate, divide the cost by how many times.
6.20/ 4 = 1.55 each
5.50/5 = 1.1 each
5.00/ 4 = 1.25 each
1.15/ 1 = 1.15 each
The lowest is B) 5.50 for 5
PLEASE HELP! I will give brainliest! If an object is dropped from a tall building, then the distance (in feet) it has fallen after t seconds is given by the function d(t)=16t^2.
Determine the average speed (rate of change) between 3 and 8 seconds.
Answer:
[tex]160ms^{-1}[/tex]
Step-by-step explanation:
[tex]d(t)=16t^2\\[/tex]
To work out rate of change of a function, you must differentiate it.
[tex]\frac{\Delta d(t)}{\Delta t} =32t[/tex]
[tex]d'(8)-d'(3)=32*8 - 32*3=32*5=160ms^{-1}[/tex]
|
Find the amplitude and period of f(t)= 1/2sin3t
Answer:
Step-by-step explanation:
hello :
note : y = A sin(Bt + C) + D
• amplitude is A
• period is 2π/B
in this exercice : f(t)= 1/2sin3t
amplitude is A =1/2
period is 2π/3
Visitors at Public Pool
Use the drop-down menu to complete the statement.
Based on the data in the line graph, you can predict
there will likely be
y visitors in
December compared to October.
Number of visitors
O
Jan Feb Mar Apr May Jun Jul Aug Sep Oct
Month
Answer: Fewer
Step-by-step explanation:
Answer:
fewer
Step-by-step explanation:
as you can see in the graph august was at peak of its potential and from there it was going down hill so September came and December so fewer people started attending the public pool.
PLEASE HELPPPP!!!!!
Daniel wants to rent a two-bedroom apartment in Red Pines. The
apartment has a monthly rent of $1,100. He must pay an application fee
which is 2% of 1 month's rent, a credit application fee of $ 10, and a
security deposit of 1 month's rent. First month's rent is expected to be paid
up front. The broker charged a fee of 7% of 1 year's rent. How much is
Daniel expected to pay before he can move into the apartment?
A rectangle is 28 centimeters long and 9 centimeters wide.
What is the perimeter of this rectangle?
37 cm
56 cm
65 cm
74 cm
Answer:
74cm
Step-by-step explanation:
(28×2)+(9×2)
Brainliest would be appreciated
Answer:
74cm
Step-by-step explanation:
To work this out you would add all the lengths of the sides together.
1) Multiply 28 by 2.
[tex]28*2=56[/tex]
2)Multiply 9 by 2.
[tex]9*2=18[/tex]
3) Add 18 to 56.
[tex]18+56=74[/tex]
y= 1/10 tan (60– 60)
Answer:
0
Step-by-step explanation:
tan(60 - 60)
tan(0) = 0
1/10 × 0 = 0
a) Convert 30 inches to centimetres.
centimetres
Answer:
76.2
Step-by-step explanation:
You can use a table like the one I have attached! :)
Anita brings 6 dolls to her grandma's house. These dolls represent 20% of Anita's doll collection, as shown in the diagram.
What is the total number of dolls in Anita's doll collection?
Answer:
30 dolls
Step-by-step explanation:
First, divide 100 by the percentage, which is 20, to get the number you need to multiply 6 by. 100/20 = 5. Then, multiply 6 by that number. 6*5 = 30. So, the total number of dolls in Anitas collection is 30.
To check, find 20% of 30 (and make sure it equals 6). To do so, convert 20% to a decimal, which is 0.2. 0.2*30 = 6. So, you have the correct answer.
Answer:
Anita has 30 dolls
Step-by-step explanation:
Let the number of dolls with Anita be x
20% of x = 6
[tex]\frac{20}{100}*x=6\\\\\frac{1}{5}*x=6\\\\x=6*\frac{5}{1}\\\\x=30[/tex]
Anita has 30 dolls
Reflect the given triangle over the line y=x.
*********PLEASE I NEED HELP ********
IN 1,2,3
What is the area of the figure?
20.0 yd
17.5 yd2
19.1 yd
35.0 yd2
Answer:
may be 17.5 yd2
Step-by-step explanation:
1/2 b*h
1/2 5*7
1/2 35
1*35/2
35/2
17.5
Find the slope
What does m=
Answer:
4/5
Step-by-step explanation:
M=rise/run
Help plz plz plz plz plz plz
Answer:
2
6
11
102
Step-by-step explanation:
1^2+2=2
2^2+2=6
3^2+2=11
10^2+2=102
Answer:
brainly have anything and everything that you need just ask the question and it will give the answer that they have
Step-by-step explanation:
most of the values are blank the mean ?
The mode is the value that appears most often in a data set. It is a measure of central tendency and is especially useful for describing categorical data or discrete sets. The correct answer is B. mode.
The mode, denoted as B in the options, is the value that occurs most frequently in a given data set. It is a statistical measure used to describe the central tendency of a dataset.
Unlike the mean, which calculates the average, and the median, which identifies the middle value, the mode focuses on the most recurring value. This is particularly helpful in analyzing categorical or discrete data. A dataset may have one mode (unimodal), more than one mode (multimodal), or no mode if all values occur with the same frequency.
Therefore, the mode is a valuable tool for understanding the distribution and characteristics of a dataset. (option B)
The complete question is:
The ____ is the value that appears most often in a data set.
A. mean
B. mode
C. median
D. range
The area of a square field is 338 square yards. What is the length of its diagonal
Answer:
L X W=338
Step-by-step explanation:
divid by W so you get L= 338/W