[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
- [tex] \large{ \boxed{ \tt{LIKE \: AND \: UNLIKE \: TERMS}}}[/tex]
Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted. For instance : We can say 4y and 5y are like terms as they have the same base i.e y Unlike terms are those which have the different base. Unlike terms can neither be added nor subtracted. For instance : We can say 4x and 6y are unlike terms as they have the different base i.e 4x has the variable x while 6y has the variable y.[tex] \large{ \tt{❊ \: LET'S \: START}} : [/tex]
No , x² and x are not like terms since they don't have same base.Yes , 4x and 2x are like terms since they have the same base.No , 2x and 2y are not like terms since they have different base. Yes , 3x² and 6x² are like terms since they have the same base .[tex] \tt{✺ \: BE \: IN \: LOVE \: WITH \: YOUR \: LIFE !\: ♪}[/tex]
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In ΔFGH, the measure of ∠H=90°, FH = 8, OF = 17, and HG = 15. What ratio represents the sine of ∠G?
Answer:
[tex]\sin(G) = \frac{8}{17}[/tex]
Step-by-step explanation:
Given
[tex]\angle H = 90^o[/tex]
[tex]FH = 8[/tex]
[tex]GF = 17[/tex]
[tex]HG = 15[/tex]
See attachment for illustration
Required
The ratio of [tex]\sin(G)[/tex]
[tex]\sin(G)[/tex] is calculated as:
[tex]\sin(G) = \frac{Opposite}{Hypotenuse}[/tex]
From the attachment, we have:
[tex]\sin(G) = \frac{FH}{GF}[/tex]
This gives:
[tex]\sin(G) = \frac{8}{17}[/tex]
Michael and Sondra are mixing lemonade. In Michael’s lemonade, the ratio of lemons to water is 1:4. In Sondra’s lemonade, the ratio of lemons to water is 2:6. Several equivalent ratios for each mixture are shown in the ratio tables.
Michael
Lemons
Cups of Water
1 4
3 12
4 16
Sondra
Lemons
Cups of Water
2 6
4 12
6 18
Imagine that you want to compare Michael’s ratio to Sondra’s ratio. Which two ratios in the tables shown have a common denominator you could use to compare?
Answer:
1/4= 3/12 & 2/6 = 4/12
Step-by-step explanation:
Answer:
Its simply B
Step-by-step explanation:
If we are to express both ratios in their simplest form, we will have the ratio of Michael’s lemonade is 1:4 and that of Sondra is 1:3. The denominator that can be used in order to compare the ratios is that which can be divided by both ratios. For example, we have 12 as a denominator. The ratios can be expressed as 3/12 and 4/12. Also, the denominator can be 24 such that the ratios can be expressed as 6/24 and 8/24.
36 and 60 as ratio //////// do not mind what I'm going to type on this sidehdshhdsdhdshjhsjdhsdhjd
36:60
= 18:30
= 9:15
= 3:5
f(x)=[tex]\frac{3}{x+2}[/tex]-[tex]\sqrt{x-3}[/tex]
f(x) = 3/x+2 - √x - 3
We can put any value of x so, let x be 3f(3) = 3/3 + 2 - √3 - 3
f(3) = 3/3 + 2 - √0
f(3) = 3/5 - 0
f(3) = 3/5
You can let x be any value of your choice.
What is the value of this number in decimal form?
Five and three hundred eight thousandths.
the ratio of berries to oranges is 10:1 if there are 25 oranges, how many berries are there?
Answer:
250 berries
Step-by-step explanation:
berries : oranges
10 1
We have 25 oranges so we need to multiply each side by 25
berries : oranges
10*25 1*25
250 25
There are 250 berries
A skateboarding ramp is 13in. high and rises at an angle of 13°. How long is the base of the ramp? Round to the nearest inch.
===========================================================
Explanation:
The diagram is shown below. We know the vertical part of the triangle is 13 inches, which is the side opposite the reference angle 13 degrees. The adjacent side is unknown. We'll call it x. This is how long the base of the ramp is, which is the horizontal distance along the entire ramp. This distance is on the ground. The ramp itself is the hypotenuse but it seems like your teacher isn't wanting to know this value. So we'll ignore the hypotenuse.
We'll use the tangent rule to connect the opposite and adjacent sides.
tan(angle) = opposite/adjacent
tan(13) = 13/x
x*tan(13) = 13
x = 13/tan(13)
x = 56.309186365694
x = 56 inches is the approximate horizontal distance underneath the ramp
The base of the ramp is 57 inches long.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The tangent function relates the opposite side (height) and adjacent side (base) of a right triangle to the angle of elevation.
We know the opposite side is the height of the ramp, which is 13 inches, and the angle of elevation is 13 degrees.
Let the adjacent side (the base of the ramp) be "x".
The tangent of 13 degrees is equal to the opposite side divided by the adjacent side:
tan(13) = 13/x
To solve for x, we can multiply both sides by x:
x × tan(13) = 13
Then, we can divide both sides by tan(13):
x = 13 / tan(13)
x = 13 / 0.228
x= 56.99
Therefore, the base of the ramp is 57 inches long.
To learn more on trigonometry click:
https://brainly.com/question/25122835
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Ariana invested $400 in an account paying an interest rate of 3.8% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 11 years?
PLS HELP IM BEING TIMEDWhich of these statements is true? A) 349 > 456 B) 456 < 792 792 < 456 D) 792 > 863
Answer:
B
Step-by-step explanation:
792 is a bigger number than 456
Answer: B
Step-by-step explanation: 792 is larger than 456
i need help with this one plz! (marking BRAINLIST) :)
Answer:
cosθ = 7/25
Step-by-step explanation:
To find hypotenuse, you use Pythagorean's Theorem.
a^2+b^2=c^2
7^2+24^2=c^2
625=c^2
25=c
This means cosθ = 7/25
Given m|n, find the value of x.
Answer:
x=150
Step-by-step explanation:
x+30=180[co-interior angle]
x=180-30
x=150
For the given function, find the vertical and horizontal asymptote(s) (if there are any).
f(x) = (x-5)/(x^2-1)
Answer:
See below for answers and explanations (as well as a graph attached)
Step-by-step explanation:
The function [tex]f(x)=\frac{x-5}{x^2-1}[/tex] can be written as [tex]\frac{x-5}{(x+1)(x-1)}[/tex], showing that there are 2 vertical asymptotes, which are at [tex]x=-1[/tex] and [tex]x=1[/tex] as they both make the denominator equal to 0.
Additionally, there would be a horizontal asymptote at [tex]y=0[/tex] since the degree of the numerator is less than the degree of the denominator.
See the attached graph.
What is the value of x?
Answer:
x=15 degree
Step-by-step explanation:
5x +5+6x -1+3x+5x+3+4x+8 =360 degree (exterior angles of pentagon is 360 degree)
23x +15 =360
23x=360-15
x=345
x=345/23
x=15 degree
Quantitative - Column chart
Quantitative - Line chart
Qualitative - Histogram
Qualitative - Pie chart
Answer:
A. Qualitative - Column chart
Step-by-step explanation:
Data could either be qualitative or quantitative. Quantitative data are usually given in a definite number, i.e it can be counted. While qualitative deals with characteristics, i.e it can be collected either by the use of questionnaires, or any similar method.
Therefore for the given question, the data survey is qualitative. And since the result would be presented as a graph showing the percentage users for each application, a column chart would be appropriate.
Thus for the data and its presentation, the answer is A. Quantitative - Column chart
In 2009, a diabetic express company charged $38.85 for a vial of type A insulin and $30.34 for a vial of type B insulin. If a total of $1695.71 was collected for 50 vials of insulin, how many vials of each type were sold?
The number of vials of type A insulin sold were ___ and the number of vials of type B insulin sold were ____
Answer:
The number of vials of type A insulin sold were _21__ and the number of vials of type B insulin sold were __29__.
Step-by-step explanation:
Let a = number of type A vials.
Let b = number of type B vials.
38.85a + 30.34b = 1695.71
a + b = 50
38.85a + 30.34b = 1695.71
(+) -38.85a - 38.85b = -1942.50
---------------------------------------------------
-8.51b = -246.79
b = 29
a + b = 50
a + 29 = 50
a = 21
Answer: The number of vials of type A insulin sold were _21__ and the number of vials of type B insulin sold were __29__.
Paul bakes raisin bars in a pan shaped like a rectangular prism. The volume of the pan is 480 cubic inches. The
HURRY PLEASE
length of the pan is
12 inches, and its width is 10 inches
V = 480 in^3
h = ?
12 in
10 in
What is the height of the pan?
Enter your answer in the box
in inches
Answer:
The height of the pan is 4 in.
Step-by-step explanation:
please answer question 9 and 11
Answer:
9) 5888
11) ?
Step-by-step explanation:
9) Formula = l x w x h / 3
16 * 24 * 46 / 3 = 5888
Volume = 5888, no units
I can't help with 11, im confused, sorry but hope it helps.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A sample of n = 4 scores is selected from a normal population with μ = 30 and σ = 8. The probability of obtaining a sample mean greater than 34 is equal to the probability of obtaining a z-score greater than z = 2.00.
Answer:
False
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
[tex]\mu = 30, \sigma = 8[/tex]
Sample of 4
This means that [tex]n = 4, s = \frac{8}{\sqrt{4}} = 4[/tex]
Probability of obtaining a sample mean greater than 34:
This is 1 subtracted by the p-value of Z when X = 34. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{34 - 30}{4}[/tex]
[tex]Z = 1[/tex]
Thus, the probability of obtaining a sample mean greater than 34 is equal to the probability of obtaining a z-score greater than z = 1.00, and the statement in this question is false.
I’ll mark you as brainliest
Step-by-step explanation:
1) 6s^2
(s mean the length of each side, s=7)
= 6x7^2
= 294
2) 2(3)(2)+2(1)(2)+2(3)(1)
(l=length, w=wide, h=height)
= 12+4+6
= 22
3) 4(π)12^2
(r=radius)
= 576
Given that P(x) = 2W/W+1 + W-4/2W-3 , evaluate p(0)
Answer:
5
Step-by-step explanation:
jnjknmnj
what is the significance of triangular design in a scissor,compass,seesaw..give five sentences
Answer:
Triangles have two meanings depending on their position. When pointing up, they represent stability and power, when pointing down they become unstable. The triangle is primarily a masculine shape, but when inverted it also represents female reproduction. Triangles possess a number of key advantages that make them ideal for both architects and curious students. The strength of a triangle derives from its shape, which spreads forces equally between its three sides.
Step-by-step explanation:
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer: yes yes no yes yes no
Step-by-step explanation:
simplify my 5 multiply 6 - 60
Answer:
- 30 is the answer
Step-by-step explanation:
5 multiply 6 - 60
5 × 6 - 60
= 30 - 60
= - 30
Geri runs a total of3.1 miles, how many feet is this
Pls help I need a good grade
Answer:
b
Step-by-step explanation:
glad I helped..............
Determine if the data of described below is quantitative or qualitative. Explain. Voltage measurements from your home
10) Using Limit Comparison Test (LCT), the following series
+00
M:
-1 + 2n5
n6 + 1
n=1
Compare to the divergent series,
[tex]\displaystyle\sum_{n=1}^\infty\frac1n[/tex]
Then by the limit comparison test, the given series also diverges, since the limit
[tex]\displaystyle\lim_{n\to\infty}\frac{\frac{2n^5-1}{n^6+1}}{\frac1n} = \lim_{n\to\infty}\frac{2n^6-n}{n^6+1}=\lim_{n\to\infty}\frac{2-\frac1{n^5}}{1+\frac1{n^6}}=2[/tex]
is positive and finite.
Solve for 2. Round to the nearest tenth of a degree, if necessary.
L
90
K
80
J
Answer:
41.6
Step-by-step explanation:
got it wrong and it showed me the right answer
Destiny has borrowed $8 from 7 different friends. Write an integer that
represents Destiny's total debt to her friends.
Answer:
56
Step-by-step explanation:
7×8=56
Hope this helps! :)
Wanda listed these facts about parallelograms.
Opposite angles are equal to each other.
Adjacent sides may have different lengths.
There are exactly two sets of parallel sides.
Both pairs of opposite sides have the same length.
Which One is correct
Answer:
there are exactly two sets of parallel sides