Answer:
please see answers below
Step-by-step explanation:
equation of a straight line is given by y= mx + c (where m is gradient-slope, c is y-axis intercept)
you have to measure the slope (change in y values ÷ change in x values).
you have to find where graph crosses the y-axis (y-axis intercept).
pick two sets of coordinates for each line (graph).
1) coordinates are (0,2) and (10,7).
slope = (change in y values ÷ change in x values)
= (7 - 2) / (10 - 0) = 5/10 = 1/2.
it crosses the y-axis at y = 2.
the equation is y = (1/2)x + 2.
2) coordinates are (0, -3) and (2, 5).
slope = (-3 - 5) / (0 - 2)
= -8 / -2
= +4
=4.
it crosses the y-axis at y = -3
the equation is y = 4x - 3
3) coordinates are (-1, 0) and (1, -2)
slope = (-2 - 0) / (1 - -1)
= -2 / (1 + 1)
= -2 /2
= -1 .
it crosses the y-axis at y = -1
the equation is y = -x - 1
4) coordinates are (-1, 2) and (0, -1)
slope = (-1 - 2) / (0 - -1)
= -3 / (0 + 1)
= -3/1
= -3.
it crosses the y-axis at y = -1
the equation is y = -3x - 1
5) coordinates are (4, 0) and (0, 2).
slope = (2 - 0) / (0 - 4)
= 2/-4
= -1/2
it crosses the y-axis at y = 2
the equation is y = -(1/2)x + 2
hope these answers help you. good luck
The volume of a Rectangular Prism
V = lwh
(Don't send in an answer that doesn't relate to this question or answer gets reported and no brainlist)
A: 72ft^2
B: 24ft^2
C: 74ft^2
D: 144ft^2
Answer:
C) 74 ft²
Step-by-step explanation:
3x3x4=36
3x3x4=36
1x1x2=2
36+36+2=74
12
x
−
15
=
6
−
3
x
Answer:
x= 7/5 (1 2/5 or 1.4)
Step-by-step explanation:
Move the variable to the left-hand side and change its sign.
12x-15+3x=6
Move the constant to the right-hand side and change its sign.
12x+3x=6+15
Collect like terms.
15x=21
Divide both sides of the equation by 15.
x=7/5 (1 2/5 or 1.4)
factorize 2a^2+7a-15
Answer:
2a^2+10a-3a-15
2a(a+5)-3(a+5)
(2a-3) (a+5)
\( \huge\bf \pink {\underline{Solution :-}}\)
\(2 {a}^{2} + 7a - 15\)
\( = 2 {a}^{2} + 10a - 3a - 15\)
\( = 2a(a + 5) - 3(a + 5)\)
\( = (a + 5)(2a - 3)\)
\( \sf \red{Hence, Answer \: is \: (a + 5)(2a - 3).}\)
\( \\ \)
\( \bf \purple{ \underline{ Important \: Formulas \: for \: Factorization :-}}\)
\(• \: {a}^{2} + 2ab + {b}^{2} = {(a + b)}^{2} \)
\(• \: (a + b)(a - b) = {a}^{2} - {b}^{2} \)
\(• \: {a}^{2} - 2 ab + {b}^{2} = {(a - b)}^{2} \)
\(• \: {a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3} = {(a + b)}^{3} \)
\(• \: {a}^{3} - 3 {a}^{2} b + 3a {b}^{2} - {b}^{3} = {(a - b)}^{3} \)
\(• \: {(a + b)}^{2} + {(a - b)}^{2} = 2( {a}^{2} + {b}^{2} )\)
\(• \: {(a + b)}^{2} - {(a - b)}^{2} = 4ab\)
\(• \: (a + b)( {a}^{2} -ab + {b}^{2} ) = {a}^{3} + {b}^{3} \)
\(• \: (a - b)( {a}^{2} + ab + {b}^{2} ) = {a}^{3} - {b}^{3}\)
\(• \: {( \frac{a + b}{2} )}^{2} - ( {\frac{a - b}{2} } )^{2} = ab\)
How do the average rates of change for f(x) = -0.5x² and g(x) = -1.5x² over the interval -5 ≤ x ≤ -2 compare?
Four graphs are shown below: Four graphs named Graph A, Graph B, Graph C and Graph D are shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 100 at increments of 10. All the graphs have 0,18 and 1,25 and 2,27 and 3,30 and 4,32 and 5,43 and 6,55 and 7,66 and 8,78 and 9,81 and 10,89. A straight line joins 0,12 and 10,85 in Graph A. A straight line joins 0,18 and 6,100 in Graph B. A straight line joins 0,40 and 9, 100 in Graph C. A straight line joins 0, 18 and 10,40 in Graph D. Which graph best shows the line of best fit? Graph A Graph B Graph C Graph D
Answer:
GRAPH A
Step-by-step explanation:
Which expression represents all the solutions to the inequality
3(2x - 8) > 4x + 26?
Answer:
x > 25
Step-by-step explanation:
3(2x−8)>4x+26
Step 1: Simplify both sides of the inequality.
6x−24>4x+26
Step 2: Subtract 4x from both sides.
6x−24−4x>4x+26−4x
2x−24>26
Step 3: Add 24 to both sides.
2x−24+24>26+24
2x>50
Step 4: Divide both sides by 2.
2x
2
>
50
2
x>25
A researcher conducts an experiment comparing two treatment conditions and obtains data with 10 scores for each treatment condition.
a. If the researcher used an independent-measures design, how many subjects participated in the experiment? Explain how many samples will be needed, how many subjects, and what is the total subjects
b. If the researcher used a repeated-measures design, how many subjects participated in the experiment? would the repeated â€"measures design use the same sample of n-10 and will there be 10 subjects in both treatment conditions.
c. If the researcher used a matched-subjects design, how many subjects participated in the experiment?
a. In an independent-measures design, each treatment condition has its own separate group of subjects.
Therefore, the number of subjects participating in the experiment would be equal to the sum of subjects in both treatment conditions.
In this case, there are 10 scores for each treatment condition, so there would be a total of 10 + 10 = 20 subjects in the experiment.
b. In a repeated-measures design, the same subjects are exposed to both treatment conditions. Therefore, the number of subjects participating in the experiment would be the same as the number of subjects in each treatment condition. In this case, there are 10 scores for each treatment condition, so there would be a total of 10 subjects in the experiment.
c. In a matched-subjects design, each subject is matched or paired with another subject based on specific criteria. The number of subjects participating in the experiment would depend on the matching criteria and the number of matched pairs.
Since the information about the matching criteria is not provided, it is not possible to determine the exact number of subjects in this design. The number of subjects in a matched-subjects design can vary depending on the specific study design and requirements.
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With the given budget, what’s the farthest distance a truck can travel from the warehouse to the retail outlet?
The elevations of a town is 450 feet above sea level. The elevation of a lake is 25 feet below sea level. What is the difference between the elevations of the town and lake?
Answer:
425
Step-by-step explanation:
Is 72 Inches greater less or equal to 2 yd and why
Answer:
72 is equal to 2 yards.
Explanation:
There are 36 inches in one yard.
(another way to look at this is there are 3 feet in one yard, each feet is 12 inches. So, 12 multiplied by 3 is equal to 36 inches, or one yard)
Then, since in this question we are finding out in relation to 2 yards, add 36 inches + 36 inches, and that is equal to 72 inches.
72 and 72 are equal :)
Jennifer is taking a quiz and has answered 13 questions so far. if there are 25 questions on Jennifer's test, how many questions does she have left to answer?
Answer:
12 questions left.
Step-by-step explanation:
Giving answer branleist
Answer: 67/100
Step-by-step explanation: 0.67 is in the hundredths place not the tenths so it cant be 67/99 its 67/100
what is the solution to the inequality 3x-42>3
Answer:
x > 15
Step-by-step explanation:
Try to get x on a side by itself...
3x - 42 > 3
3x > 45
x > 15
2x + 4 = 0
find the value of x
Answer:
\(x=-2\)
Step-by-step explanation:
\(2x + 4 = 0\)
Subtract 4 from both sides:-
\(2x+4-4=0-4\)
\(2x=-4\)
Divide both sides by 2:-
\(\frac{2x}{2}=\frac{-4}{2}\)
\(x=-2\)
OAmalOHopeO
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
2x + 4 = 0, value of x = ?\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\( \sf2x+4=0\)
Subtract 4 from both sides. Anything subtracted from zero results in its negation.
\( \sf2x=-4 \)
Divide both sides by 2.
\( \sf \: x=\frac{-4}{2} \\ \)
Divide -4 by 2 to get -2.
\( \boxed{ \boxed{ \bf \: x=-2 }}\)
The floor of a canyon has an elevation of −14. 5 feet. Erosion causes the elevation to change by −1. 5 feet per year. How many years will it take for the canyon floor to have an elevation of −31 feet?.
It will take 11 years for the canyon floor to have an elevation of −31 feet.
Define equation.A mathematical statement known as an equation makes two expressions' values equal. It is a mathematical statement that says "this is equivalent to that," in other words. The left side appears to be a mathematical expression, the centre appears to be an equal sign, and the right side is another mathematical expression. The right side of the equation frequently has a value of zero.
Given,
The first step in this situation is to define the variables.
So, we have:
x: the age in years
y: height in feet
The equation used to model the issue is then written.
So, we have:
y = 1.5x - 14.5
Then, at a -31 foot elevation, we have:
-31 = 1.5x - 14.5
For years,
x = -16.5/1.5
x = 11
In 11 years it will take for the canyon floor to have an elevation of −31 feet.
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A research paper claims a meaningful contribution to the literature based on finding statistically significant relationships between predictor and response variables. In the footnotes, you see the following statement, "given this research was exploratory in nature, traditional levels of significance to reject the null hypotheses were relaxed to the .10 level."
critically evaluate this footnote.
what response to provide to the authors about this footnote?
The footnote in the research paper states that the traditional levels of significance to reject the null hypotheses were relaxed to the 0.10 level because the research was exploratory in nature. This statement suggests that the researchers intentionally chose a higher level of significance in their statistical analysis.
In response to this footnote, you could provide the authors with the following feedback:
1. Acknowledge the exploratory nature of the research: Begin by recognizing that the authors mentioned the exploratory nature of their study in the footnote. This indicates that they were conducting preliminary investigations or searching for patterns and relationships without any preconceived hypotheses.
2. Explain the concept of statistical significance: Provide a brief explanation of statistical significance, which refers to the probability that the observed relationship between variables is not due to chance. Emphasize that traditionally, a significance level of 0.05 is commonly used to determine whether the relationship is statistically significant.
3. Discuss the rationale for relaxing the significance level: Address the authors' decision to relax the significance level to 0.10. Explain that by doing so, they are allowing for a higher chance of finding statistically significant relationships between the predictor and response variables. This decision may be justified in exploratory research, as it allows for a more liberal approach to hypothesis testing.
4. Highlight the implications of relaxed significance levels: Explain that relaxing the significance level increases the likelihood of finding statistically significant results, even if the true relationships are weak or non-existent. This could lead to an increased risk of Type I errors, where a relationship is detected when there isn't one. It is important to note that relaxed significance levels may generate preliminary findings that require further validation.
5. Suggest additional analysis or caution: Finally, recommend that the authors interpret their findings with caution and consider conducting further research to validate their results. Additionally, they may want to include sensitivity analyses to understand the impact of different significance levels on their conclusions. Encourage them to discuss the potential limitations and implications of their decision to relax the significance level in the paper.
Remember to maintain a respectful and informative tone throughout your response. By providing this feedback, you are helping the authors understand the implications of their choice to relax the significance level and encouraging them to critically evaluate their findings.
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HELP!! Find the value of x. The angle measures 360°
Answer:
20 will be the required value of x
Find the radius when the area is 452.16 in^2
area = pi x r²
3,14 x r² = 452,16
r² = 144
r = 12
the proof that ux ≅ sv is : △stu an equilateral triangle∠txu ≅ ∠tvsprove: ux ≅ sv
Based on the information of an equilateral triangle △STU and the congruence of angles ∠TXU and ∠TVS, it can be concluded that UX is congruent (≅) to SV. The proof involves establishing the congruence of corresponding angles and applying the angle-angle (AA) congruence criterion.
To prove that UX is congruent (≅) to SV using the information, we will utilize the fact that △STU is an equilateral triangle and the congruence of angles ∠TXU and ∠TVS.
We have:
△STU is an equilateral triangle (∠STU = ∠TUS = ∠UST = 60 degrees)
∠TXU ≅ ∠TVS
Proof:
1. Draw a diagram of equilateral triangle △STU.
2. Draw a line segment UX and SV originating from U and S, respectively, towards the interior of the triangle.
3. ∠TXU and ∠TVS are congruent (given).
4. ∠STU = ∠TUS = ∠UST = 60 degrees (equilateral triangle property).
5. Since ∠STU and ∠TUS are both equal to 60 degrees and ∠TXU ≅ ∠TVS, we can conclude that ∠UTX ≅ ∠VTS (angle sum property of triangles).
6. By Angle-Angle (AA) congruence, ∆UTX ≅ ∆VTS.
7. Since corresponding parts of congruent triangles are congruent, we have UX ≅ SV (side UT ≅ side VT).
Therefore, we have proved that UX is congruent (≅) to SV using the information.
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$15 for 4 quarters Find the untie rate. Don't forget to write the label
Answ15 equals 5 so it's 5t6665
Step-by-step explanation:
Answer:
3.75
Step-by-step explanation:
I'm not completely 100% sure but i think thats the answer i am so very sorry if i'm wrong
Whats the inverse function of
“C = 5 + 2t”
and how do I find it?
Answer:
yeahhh
Step-by-step explanation:
C=5+2t represents of the total Cost of attending the carnival: you pay admission fee of $5 and then $2 for ticket to play games
To find inverse function of C(t), solve the equation for "t" (in inverse function, function and argument are swapped):
t =(C - 5)/2
The inverse function represent the number of games played by someone at the carnival.
LaTeX: t=\frac{C-2}{5} is not the inverse function of C(t). The inverse function was found in 2.
Use the Buying a Car information above to answer this question. What is your monthly payment if you choose 0% financing for 48 months? Round to the nearest dollar. Use the Buying a Car information above to answer this question. The rebate offer is $2900, and you can obtain a car loan at your local bank for the balance at 5.24% compounded monthly for 48 months. If you choose the rebate, what is your monthly payment? $ Round to the nearest dollar.
If you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).
To calculate the monthly payment for each financing option, we'll use the information provided:
1. 0% financing for 48 months:
Since the financing is offered at 0% interest, the monthly payment can be calculated by dividing the total purchase price by the number of months.
Purchase Price: $26,050
Number of Months: 48
Monthly Payment = Purchase Price / Number of Months
Monthly Payment = $26,050 / 48 ≈ $543
Therefore, the monthly payment for the 0% financing option for 48 months is approximately $543.
2. Rebate offer and car loan at the bank:
If you choose the rebate offer, you'll need to finance the remaining balance after deducting the rebate amount. Let's calculate the remaining balance:
Purchase Price: $26,050
Rebate Offer: $2,900
Remaining Balance = Purchase Price - Rebate Offer
Remaining Balance = $26,050 - $2,900 = $23,150
Now, we'll calculate the monthly payment using the remaining balance and the loan terms from the local bank:
Remaining Balance: $23,150
Interest Rate: 5.24% (compounded monthly)
Number of Months: 48
Monthly Payment = (Remaining Balance * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
First, let's calculate the Monthly Interest Rate:
Monthly Interest Rate = Annual Interest Rate / 12
Monthly Interest Rate = 5.24% / 12 ≈ 0.437%
Now, we can calculate the Monthly Payment using the formula mentioned above:
Monthly Payment = ($23,150 * 0.437%) / (1 - (1 + 0.437%)^(-48))
Monthly Payment ≈ $557
Therefore, if you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).
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You are given a choice of taking the simple interest on $100,000 invested for 4 years at a rate of 2% or the interest on $100,000 invested for 4 years at an interest rate of 2% compounded quarterly. Which investment earns the greater amount of interest? Give the difference between the amounts of interest earned by the two investments.
Answer: The second type of investment earns greater amount of interest.
Step-by-step explanation:
1)
SI = prt / 100
= 10000 x .02 x 4
= 8000
2)
At compound intetest
A = P(1 + r/n)^nt
= 108307.12
Interest = 108307.12 - 100000 = 8307.12
Difference
8307.12 - 8000 = 307.12
Help? Fractions/visual
3/3 * 3/4 is fraction of green color .
What is fraction in math?
Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.green colored boxes = 3
blue colored boxes = 3
fraction of green = 3/3 * 3/4
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Write down the reciprocal of:5by8
to find the reciprocal just switch the numerator and the denominator.
= 8/5 ( 8 by 5 )
What is the length of the hypotenuse of the triangle below? It’s D bro just took it
Answer: D
Step-by-step explanation:
a^2 +b^2 = c^2
\(3\sqrt{2}^2\)= 18
3\sqrt{2}^2= 18
18 + 18 = 36
The square root of 36 is 6
Answer:
D no is correct ans
Step-by-step explanation:
using pythagoras thoerem h^2=p^2+b^2
and put the value P=3root 2 and b =3root2 and take out h
1.5 ounces cost 2.40
How my much will 5 ounces cost?
Answer:
12$
Step-by-step explanation:
2.4*5=$12
determine whether the expression makes sense mathematically. If not, explain why. 15. (a) u (v w) (c) llu v (d) (u v)- u 16. (a) lul-v (b) (u v)-w (d) k.u (c) u v)-k
Given:Expression to be checked whether it makes sense mathematically.15. Solution: Firstly, let us understand the terminologies used in this question. A set of numbers or terms that are related by addition and subtraction are called expressions.
Expressions may contain letters or variables, which represent numbers. Expressions can be simple or complex.Let's take each expression one by one.15. (a) u (v w)This expression makes sense mathematically. We can evaluate this expression by using the associative property of addition, which states that if a, b, and c are real numbers, then the sum of a and b, added to c, is the same as a added to the sum of b and c. Hence, u + (v + w) can be written as (u + v) + w and vice versa.(c) llu v This expression does not make sense mathematically as the operator ll is not defined in mathematics.
Therefore, this expression is invalid.(d) (u v)- u This expression makes sense mathematically. We can evaluate this expression by using the distributive property of subtraction, which states that if a, b, and c are real numbers, then the difference of a and b, multiplied by c, is the same as the difference of a times c and b times c. Hence, (u - u) + v can be written as 0 + v, which is equal to v.(a) lul-vThis expression does not make sense mathematically as the operator l is not defined in mathematics. Therefore, this expression is invalid.(b) (u v)-wThis expression makes sense mathematically. We can evaluate this expression by using the distributive property of subtraction, which states that if a, b, and c are real numbers, then the difference of a and b, multiplied by c, is the same as the difference of a times c and b times c. Hence, (u - v) - w can be written as u - (v + w) and vice versa.
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If pure water is added to a 15% alcohol solution, what percent alcohol is being added?
If I understand your question correctly, pure water is 0% alcohol, so by adding water, this will dilute your 15% alcohol solution and lower the percentage of alcohol in the solution.
Many word problems are set up like "You have some amount of 15% alcohol solution and you add some pure water. You end up with some other amount of the diluted mixture. How much 15% alcohol solution and how much pure water were mixed."
For those ones, use 0% alcohol for your pure water.
Write a problem for the equation 3+ X equals eight then solve the equation and write the answer to your problem
Answer:
3+x=8
subtract 3 from both sides 3-3+x=8-3
so 3-3=0 and8-3 =5
now you have x=5