Answer:
D
Step-by-step explanation:
First, we can determine what type of relationship we are dealing with by examining the table.
From x = 1 to x = 2, the y-value increased by 14/4 (25/4-11/4).
From x = 2 to x = 3, the y-value also increased by 14/4 (39/4-25/4)
And from x = 3 to x = 4, the y-value still increased by 14/4 (53/4-39/4).
Therefore, we can conclude that our table represents a linear relationship.
And since it increases by 14/4 or 7/2 for every x, this means that our slope is 7/2.
The only choice that represents a linear equation with a slope of 7/2 is D. So, the correct answer is D.
However, we can confirm our answer by writing our equation. We can use the point-slope form:
\(y-y_1=m(x-x_1)\)
Where m is the slope and (x₁, y₁) is a point.
Let's substitute 7/2 for m. We can pick any point, so I'm going to use (1, 11/4) for (x₁, y₁).
Substitute:
\(\displaystyle y-\frac{11}{4}=\frac{7}{2}(x-1)\)
Distribute:
\(\displaystyle y-\frac{11}{4}=\frac{7}{2}x-\frac{7}{2}\)
Add 11/4 to both sides. Note that 7/2 is the same as 14/4. So:
\(\displaystyle y=\frac{7}{2}x-\frac{14}{4}+\frac{11}{4}\)
Add:
\(\displaystyle y=\frac{7}{2}x-\frac{3}{4}\)
So, our answer is D.
And we're done!
(x^2+x+1)3+x^2+3x. how would I slove it
Answer:
4x^2+6x+3
Step-by-step explanation:
I'm not sure if there was more the question sorry I couldn't be much of help:/
A triangle with coordinates A(1, 1), B(6, 2), C(3, 5) is translated five units left and three units down. What are the coordinates of B′? (This is homework)
A triangle with coordinates A(1, 1), B(6, 2), C(3, 5) is translated five units left and three units down. The new coordinates are
A'' (-4, -2)
B'' (1, -1)
C'' (-2, 2
How to find the new coordinatesThe new coordinates of the transformations solved by applying the transformation rule adequately
Translation 5 units left is subtracting 5 units to the x coordinates
A (1, 1) = A' (-4, 1)
B (6, 2) = B' (1, 2)
C (3, 5) = C' (-2, 5)
Translation 3 units down is subtracting 3 units to the y coordinates
A' (-4, 1) = A'' (-4, -2)
B' (1, 2) = B'' (1, -1)
C' (-2, 5) = C'' (-2, 2
the coordinates are the ones with double primes ''
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Please help me I never learned this type of math
The domain in interval notation is [-5, 3].
The domain in compound inequality is -5 ≤ x ≤ 3.
The range in interval notation is [-3, 4].
The range in compound inequality is -3 ≤ y ≤ 4.
What is a domain?In Mathematics, a domain is the set of all real numbers for which a particular function is defined.
Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-5, 3] or -5 ≤ x ≤ 3.
Range = [-3, 4] or -3 ≤ y ≤ 4.
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Find the value of y.
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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find the 100th term for
5, 4, 3, 2, ... ...
Answer:
1
Step-by-step explanation:
Bally Manufacturing sent Intel Corporation an invoice for machinery with a $13,100 list price. Bally dated the invoice August 01 with 3/10
EOM terms. Intel receives a 40% trade discount. Intel pays the invoice on August 14. On August 10, Intel Corporation returns $100 of the machinery due to defects. What does Intel pay Bally on August 14?
The Intel pays $7,760 to Bally Manufacturing on August 14.
The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.
The trade discount of 40% is calculated as follows:
Discount = List price × Discount rate
Discount = $13,100 × 0.40 = $5,240
So the net price of the machinery after the trade discount is:
Net price = List price - Discount
Net price = $13,100 - $5,240 = $7,860
After Intel returns $100 of machinery, the cost of the machinery is further reduced to:
Net price after return = Net price - Return
Net price after return = $7,860 - $100 = $7,760
Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.
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a cyclic quadrilateral is shown x : y = 3 : 7
work out the size of angle z
Answer:
116
Step-by-step explanation:
this is the correct answer
In APQR p:q:r = √3:1:1, Calculate the ratio P:O: Rin its simplest form. [WA
According to the given information, the ratio P:O:R is 2√3 : 1 : 2 in its simplest form.
What is the ratio and proportion ?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as 1 : 3 (for every one boy there are 3 girls).
According to the given information :Since p:q:r = √3:1:1, we can write:
p = √3x
q = x
r = x
where x is a common factor.
We can see that triangle ABC is a 30-60-90 triangle with angle A = 60 degrees, and that angle BOC is a right angle. Therefore, we can use the ratios of sides in a 30-60-90 triangle to find the values of P, O, and R:
P = AB = p = √3x
O = BC/2 = q/2 = x/2
R = AC = r = x
Therefore, the ratio P:O:R is:
P:O:R = √3x : x/2 : x
We can simplify this ratio by multiplying all terms by 2 to get rid of the fraction:
2√3x : x : 2x
We can further simplify by dividing all terms by x:
2√3 : 1 : 2
Therefore, according to the given information, the ratio P:O:R is 2√3 : 1 : 2 in its simplest form.
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For the equation, complete the solution. 8x + y = −7
(x, y) = , 1
Answer:
(x, y) = (-1, 1)
Step-by-step explanation:
8x + y = −7
for y = 1
8x + 1 = -7
subtract 1 from boh sides
8x = -8
divide bot sides by 8
x = -1
(x, y) = (-1, 1)
Fidgets cost $3 each and Pop Its cost $4 each. If you buy a total of 20 Fidgets and Pop
Its for $75, which system of equations could you use to determine how many of each
you bought? Let x represent the number of fidgets you bought and y represent the
number of pop its you bought.
The number of fidgets and pop bought was 15 each
How to determine the equationFrom the information given, we have that;
1 fidget costs $3
1 Pop cost $4
Let the number of Fidgets be x
Let the number of Pop be y
Then, we have that a total of 20 fidgets and Pop cots $75
We have that;
20x + y = 75
Now, substitute the value of x as 3, we get;
20(3) + y= 75
expand the bracket
y = 75 - 60
y = 15
The number of fidgets is expressed as;
20x/4 = 20(3) /4 = 15
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Find the value of x,y and z
○ x=70,y=58,z=53
○ x=80,y=38,z=63
○ x=85,y=38,z=63
○ x=80,y=48,z=63
Answer:
(b) x=80, y=38, z=63
Step-by-step explanation:
You want to know the values of x, y, and z, given they are angle measures in a diagram showing two triangles.
Linear pairThe angles that form a linear pair are supplementary:
x° +100° = 180°
x = 80 . . . . . . . . . divide by °, subtract 100
Angle sum theoremThe angle sum theorem tells you that the sum of angles in a triangle is 180°.
y° +62° +80° = 180°
y = 38 . . . . . . . . . . . . divide by °, subtract 142
In the other triangle, the same relation holds:
z° +100° +17° = 180°
z = 63 . . . . . . . . . . . . divide by °, subtract 117
The values of x, y, and z are ...
(x, y, z) = (80, 38, 63)
In a poll conducted of 10000 people before an election, 5050 people preferred candidate D. What is the probability of seeing such a poll, given that candidate D wins the election with 51% of the vote. Make some reasonable assumptions and use the continuity correction to compute your answer.
Answer:
P ( x < 5050.5 ) ≈ 0.16104
Step-by-step explanation:
Total number of voters ( n ) = 10000
Before election : 5050 people preferred Candidate D ( k ) ≈ 50.1 %
Candidate D eventually wins with 51% of the votes
winning ( p ) = 0.51
Applying continuity correction formula
P ( x < 5050.5 ) ≈ 0.16104
attached below is the remaining part of the solution
Write 34% as a fraction in simplest form
Answer:
The answer is that the simplest fraction form of 34% is 17/50
Step-by-step explanation:
Both the numerator and denominator of the fraction 34/100 can only be divided by 2, to satisfy creating its simplest form.
34% = 17/50
Have an awesome day! :D
Answer:
\(\frac{17}{50}\)
Step-by-step explanation:
To write any fraction as a percent, remember perCENT means per 100. Think of 100 cents in a dollar. So 34 perCENT means 34 of 100, which you write as \(\frac{34}{100}\).
Simplest form means to reduce, so you see if there is any number you can divide out of the top and the bottom.
\(\frac{34}{100}\) = \(\frac{17*2}{50*2}\)= \(\frac{17}{50}\)
HELP PLEASE FAST!!!!!
Answer: first choice is correct
Step-by-step explanation:
\(\sqrt{10} = 3.16\\\\ \sqrt{13} = 3.6\)
22/9 = 2.44
Therefore Point A is 22/9, Point B is \(\sqrt{10}\), Point C is \(\sqrt{13}\)
What is the distance from City B to City D?
A. 12 km
B. 17 km
C. 35 km
D. 47 km
Answer:
35km please follow me broo
Answer:
it answer C!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
i got it right.
four out of nine dogs weigh less than 20 pounds. what is the decimal equivalent for the number of digs weighing less than 20 pounds.
The decimal equivalent for the number of dogs weighing less than 20 pounds is 0.44.
What is a decimal?A decimal simply means a fraction that's written in a special form. In this case, instead of writing maybe 1/2, this will be 0.5.
In this case, four out of nine dogs weigh less than 20 pounds.
The decimal equivalent will be 4 divided by 9. This will be;
= 4 / 9
= 0.44
This illustrates the concept of decimal.
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Answer:
.......................... you do know you could skip math class and do better in your other classes and you will still move to the next grade pls make me as Brainliest
Step-by-step explanation:
42=3p plsssss help meeee
Answer:
p=14
Step-by-step explanation:
42=3p
Divide by 3 on both sides
14=p
Multiplying polynomials: simplify
(4a+2)(6a^2-a+2)
Answer:
24a³ - 16a² + 6a + 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsExpanding by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
(4a + 2)(6a² - a + 2)
Step 2: Expand
Expand: 24a³ - 4a² + 8a - 12a² - 2a + 4Combine like terms (a²): 24a³ - 16a² + 8a - 2a + 4Combine like terms (a): 24a³ - 16a² + 6a + 4Which statement is true about the graphed function
Suppose that in t months, the money you have saved, S, is given by the equation S=145t+85. What do the numbers in the equation represent?
Question 4 options:
145 means you started with $145 and 85 means that you save $85 per month
145 means that it will take you 145 months to save $85
85 means you started with $85 and 145 means that you save $145 per month
85 means that it will take you 85 months to save $145
Answer:
I would say option 3
Step-by-step explanation:
If "t" represents months, then 145t would mean $145 per month, 85 would probably be the amount you started with since it's added on.
If in t months, the money you have saved, S, is given by the equation
S = 145t + 85 then 85 means you started with $85 and 145 means that you save $145 per month
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given that in t months, the money you have saved (S), is given by the equation S = 145t + 85.
Here t is the independent variable which represents no. of months, 85 is a constant means you started with $85, and 145 means that you save $145 per month.
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I'm giving branliest if you just help me with this.
Answer:
x=180-35
x = 145,,,,,,,
Answer:
145°
Step-by-step explanation:
180 + x+ 35=360
x=360 - 215
x=145
What is 29% of 150?
Show work
Answer:
To find 29% of 150, we can first express 29% as a decimal by dividing 29 by 100. 29% is the same as 0.29.
Then, we multiply 0.29 by 150 to find the answer:
0.29 * 150 = 43.5
So, 29% of 150 is equal to 43.5.
Here's the work:
29% * 150 = 0.29 * 150 = 43.5
\(\huge\text{Hey there!}\)
\(\mathsf{29\%\ of \ 150}\)
\(\mathsf{= \dfrac{29}{100} \ of \ 150}\)
\(\mathsf{= \dfrac{29}{100} \times 150}\)
\(\mathsf{= \dfrac{29}{100} \times \dfrac{150}{1}}\)
\(\mathsf{= \dfrac{29(150)}{100(1)}}\)
\(\mathsf{= \dfrac{4,350}{100}}\)
\(\mathsf{= \dfrac{4,350 \div 50}{100 \div 50}}\)
\(\mathsf{= \dfrac{87}{2}}\)
\(\mathsf{= 43 \dfrac{1}{2}}\)
\(\mathsf{= 43.5}\)
\(\huge\text{Therefore, your answer should be:}\)
\(\huge\boxed{\mathsf{\dfrac{87}{2}}}\huge\checkmark\)
\(\huge\boxed{\mathsf{43 \dfrac{1}{2}}}\huge\checkmark\)
\(\huge\boxed{\mathsf{43.5}}\huge\checkmark\)
\(\large\text{Either of those should work because they are all equivalent to each}\\\large\text{other}\uparrow\)
\(\huge\text{Good luck on your assignment \& enjoy your day! }\)
work out the circumferrence of this circle 14cm diameter give your answer in terms of pi and state its units
Answer:
Step-by-step explanation:
The circumference of a circle is given by the formula:
C = πd
where d is the diameter of the circle. In this case, the diameter is given as 14 cm, so we can substitute that into the formula:
C = π(14 cm)
Multiplying, we get:
C = 14π cm
So the circumference of the circle is 14π cm. The units are centimeters, since circumference is a length measurement.
A student in a wildlife biology class wants to determine the abundance of a rodent species in a local nature preserve, divided into smaller blocks. She is concerned that she only has a modest number of traps and time to do the project, and wants to select the most appropriate sampling or experimental study design.
1. Which one of the following is most appropriate for this study?
Group of answer choices:
a. Natural experiment (observational study)
b. Stratified sampling
c. Cluster sampling
d. Systematic sampling
Answer:
c. Cluster sampling
Step-by-step explanation:
Taking into account that the exercise researcher is looking with limited resources to study a population that is divided, her best option is cluster sampling, which is a method applicable to this type of population, we could select in each group randomly her sample, the observational study is discarded because she does not have much availability of time or resources, nor would the stratified study be useful because she should select subgroups and create them to take samples and this would take more time and resources and sampling systematic is not adequate because it must have all the individuals and after having the list select the sample, but as we know, it is a process that will study the number of individuals so this option is not feasible.
Answer:
Cluster sampling
Step-by-step explanation:
Cluster sampling is almost always more economical or more practical than stratified sampling or simple random sampling as it reduces costs by increasing sampling efficiency. Due to the fact that she has limited resources, this method is better to observe clusters of units in a population than randomly selected distributed in the local nature preserve and this method is more economical and quick.
Which point is between points C and E?
BS
1.D
2.A
3.S
4. B
Answer:
The correct answer would be 3) S.
Step-by-step explanation:
If you draw a line from points c to e, s is crossing paths with it. therefore, s is the answer.
A random sample of scores on a recent test wereselected and recorded below68, 71, 77, 82, 85, 88, 89, 90, 92, 93, 96, 99Calculate the mean and standard deviation for the dataset. Round your answers to 3 decimal places.Sample mean:Sample standard deviation Sy =
Given Data:-
\(68,71,77,82,85,88,89,90,92,93,96,99\)To find the sample mean, add all the numbers and divide it by the total number of data given.H
\(\begin{gathered} x=\frac{68+71+77+82+85+88+89+90+92+93+96+99}{12} \\ x=\frac{1030}{12} \\ x=85.833 \end{gathered}\)So the mean of the given data is 85.833
in AABC, side b = 12, side c = 20 and m_A = 40°. Find side a and round the answer to the nearest integer.
Explanation
The Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.
A dessert recipe calls for 2 1/2 cups of milk and makes 5 servings. How many cups of milk are
needed for 8 servings?
Answer:4
Step-by-step explanation:
First you need to find how many cups of milk is in one serving. So, you take 2 1/2 and divide it by 5 to get 1/2 then you multiply 1/2 by eight to get 8/2. Simplify to get your answer which is 4.
Write a quadratic equation in standard form given the roots: -3 and 4/5
Answer:\(x^{2}+\frac{11x}{5}-\frac{12}{5}\)
Step-by-step explanation:
The roots are really just what x is when the equation is equal to zero. So, an equation with these roots would look like this:
(x+3)(x-4/5)=y
however, this is not standard form. To get standard form we will need to expand the equation using FOIL.
x^2+3x-4x/5-12/5=
x^2+11x/5-12/5
and that would be your answer.
This stuff is a bit tricky and it get annoying with those pesky fractions. If you have any questions just comment.