Answer:
Equation for Leandro: y=0.3x+8.95
Equation for Tina: y=0.25x+8.95
The slope is not the same, because in this equation, the coefficient of the x (the number right before the "x") isn't the same. 0.3 does not equal 0.25.
However, the y-intercept is the same, as for both equations it is 8.95.
From this, we can see that there is only one solution, at the y-intercept of (0,8.95).
Let me know if this helps!
Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by LaTeX: h=-4.9t^2+12h = − 4.9 t 2 + 12, where t is seconds. After how many seconds will Logan hit the water?
Answer:
Time, t = 2.44 seconds
Step-by-step explanation:
Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by :
\(h=-4.9t^2+12t\)
It is required to find the time after which Logan will hit the ground. At this point, h = 0
\(-4.9t^2+12t=0\\\\t(-4.9t+12)=0\\\\t=\dfrac{12}{4.9}\\\\t=2.44\ s\)
So, after 2.44 seconds it will hit the water.
wright the follwing in decimlal form:3/4
Answer:
3/4 in decimal form is 0.75.
Step-by-step explanation:
I hope this helps! :)
Answer:
0.75
Step-by-step explanation:
3/4 is expressed as 0.75 in the decimal form.
to make a fraction into a decimal you just divide the numerator by the
denominator.
and the numerator is the part of a fraction that is above the line
denominator is at the bottom
so 3 / 4 = 0.75
3/4 in decimal form is 0.75
Hope This Helped
Consider the equation: x^2 = - 8x - 7
Answer: The expression is not factorable with rational numbers.
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
182 students went on a field trip. Five
buses were filled and 7 students traveled
in cars. How many students were in each
bus?
Answer:
34
Step-by-step explanation:
just divide the question substract 2
A circle of radius 3.5cm falls entirely within another of
radius 7cm. Find the area
of space between them.with it's working
Answer:
The area of the space is( 0.1155 m^2)
A mixture of pulverized fuel ash and Portland cement to be used for grouting should have a compressive strength of more than 1300 KN/m2. The mixture will not be used unless experimental evidence indicates conclusively that the strength specification has been met. Suppose compressive strength for specimens of this mixture is normally distributed with σ = 67. Let μ denote the true average compressive strength.
(a) What are the appropriate null and alternative hypotheses?
(b) Let X denote the sample average compressive strength for n = 12 randomly selected specimens. Consider the test procedure with test statistic X itself (not standardized). If X = 1340, find the P-value. (Round your answer to four decimal places.) P-value = 0.0193
(a) The appropriate null and alternative hypotheses for this scenario are:
Null Hypothesis (H₀): The true average compressive strength is equal to or less than 1300 KN/m².
Alternative Hypothesis (Hₐ): The true average compressive strength is greater than 1300 KN/m²
(b) The p-value for the test statistic X = 1340 is approximately 0.0193
Hypothesis testing:
Hypothesis testing is a statistical method used to make inferences or decisions about a population based on sample data.
To test these hypotheses, a sample of 12 specimens is taken, and the sample mean compressive strength (X) is calculated. The test statistic used in this case is the sample mean itself.
The p-value is then calculated to determine the probability of observing a sample mean as extreme as the observed value (1340) under the assumption that the null hypothesis is true.
(a) The appropriate null and alternative hypotheses for this scenario are:
Null Hypothesis (H₀): The true average compressive strength is equal to or less than 1300 KN/m².
Alternative Hypothesis (Hₐ): The true average compressive strength is greater than 1300 KN/m²
(b) To find the p-value for the given test statistic X = 1340, we need to calculate the probability of obtaining a sample mean as extreme as X, assuming the null hypothesis is true.
Since the sample size is 12 and the population standard deviation is known (σ = 67), use the normal distribution to approximate the sampling distribution of the sample mean.
The test statistic is X itself, and find the probability of obtaining a sample mean as extreme as 1340 or more, given that the null hypothesis is true.
Using the known population standard deviation, calculate the standard error of the sample mean (SE) as σ/sqrt(n), where σ = 67 and n = 12.
=> SE = 67/√(12) ≈ 19.334
To calculate the z-score, subtract the assumed population mean (1300) from the observed sample mean (1340) and divide it by the standard error:
z = (1340 - 1300) / 19.334 ≈ 2.069
Now, find the p-value associated with this z-score using a standard normal distribution table or calculator.
The p-value represents the probability of obtaining a z-score as extreme as 2.069 or more.
Consulting a standard normal distribution table or using a calculator,
Find that the area to the right of 2.069 is approximately 0.0193.
Therefore,
(a) The appropriate null and alternative hypotheses for this scenario are:
Null Hypothesis (H₀): The true average compressive strength is equal to or less than 1300 KN/m².
Alternative Hypothesis (Hₐ): The true average compressive strength is greater than 1300 KN/m²
(b) The p-value for the test statistic X = 1340 is approximately 0.0193.
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What is the slope of a line perpendicular to the line whose equation is 6x+4y=72 Fully simplify your answer.
Answer:
m = 2/3
Step-by-step explanation:
4y = -6x + 72
y = -3/2x + 18
Negative reciprocal = 2/3
help it’s easy but yh still need help lol
Answer:
14 students walk
Step-by-step explanation:
40 total
22 girls
18 boys - 7 boys who cycle = 11 boys - 6 who take the bus. That leaves 5 boys who walk.
9 girls walk
5 + 9 = 14 total.
Y=|x+2|-3 find the axis of symmetry
A practice field is 250 feet long.The game field is 40% longer than the practice field.How long is the game field?
Answer:
The game field is 350 40 percent for 250 is 100 and 250 plus 100 is 350.
Brainly or thank me (in addition if there is other answers)
Which is a complete list of factors of each term in the expression 15 + 20 x? 15: 1, 3, 5, 15 20x: 1, 2, 4, 5, 10, 20, x 15: 1, 3, 5, 15 20x: 1, 2, 4, 5, 10, 20 15: 3, 5 20x: 4, 5, x 15: 1, 3, 5 20x: 1, 2, 4, 5, 10, x
Answer:
15: 1 3 5 15
20: 1 2 4 5 10 20
Step-by-step explanation:
This assumes you are only factoring the coefficients of the expression. Using this assumption, we simply create a list of factors of the coefficients.
15 -> 1 * 15, 3 * 5 --> 1 3 5 15
20 -> 1 * 20, 2 * 10, 4 * 5 --> 1 2 4 5 10 20
If you don't assume factoring of just the coefficients, then 20x factors
20x: 1 2 4 5 10 20 x
Cheers.
Answer:
b
Step-by-step explanation:
Convert 7.14 x 10^-4 to an ordinary number. Give your answer as a decimal.
Answer:
0.000714
Step-by-step explanation:
Move the decimal point 4 points to the left.
Answer:
Step-by-step explanation:
\(7.14*10^{-4} \\\frac{7.14}{10^{4} } \\\frac{7.14}{10000} \\\\0.000714\)
5. Explain how you multiply an octal number n directly in octal by (10) s Illustrate your general explanation with n = (741)s 6. Explain how you divide an octal number directly in octal by (10)s. Here divide means to carry out the division algorithm and to find both quotient and remainder. Illustrate your general explanation with n (741)s 7. Determine the binary form of the number n = 22019. How many binary digits does n have?
To multiply an octal number n directly in octal by 10s, you simply shift the number n s places to the left, adding s number of 0s to the right.
How to explain the informationTo divide an octal number directly in octal by 10s, you simply shift the number n s places to the right, removing s number of digits from the right.
You then calculate the quotient and remainder. For example, if n = (741)s, and s = 2, then:
(741)s / (10)s = (74)s with a remainder of 1.
To determine the binary form of the number n = 22019, you can convert each digit of the decimal number to binary and then combine the binary digits. Here's the conversion process:
22,019 / 2 = 11,009 with a remainder of 1
11,009 / 2 = 5,504 with a remainder of 1
5,504 / 2 = 2,752 with a remainder of 0
2,752 / 2 = 1,376 with a remainder of 0
1,376 / 2 = 688 with a remainder of 0
688 / 2 = 344 with a remainder of 0
344 / 2 = 172 with a remainder of 0
172 / 2 = 86 with a remainder of 0
86 / 2 = 43 with a remainder of 0
43 / 2 = 21 with a remainder of 1
21 / 2 = 10 with a remainder of 1
10 / 2 = 5 with a remainder of 0
5 / 2 = 2 with a remainder of 1
2 / 2 = 1 with a remainder of 0
1 / 2 = 0 with a remainder of 1
So the binary form of n = 22019 is 1010110011011. The number n has 13 binary digits.
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Select the correct answer from each drop-down menu.
4
3
2
1
-65
3
1
2
3
4 5 6
-
-2
3
4
5
5
The point that is the reflection of Dacross the x-axis and the yaxis is point v. and the coordinates of this point are
reflection of point Lacross x-axis is point v. and the coordinates of this point are
. The
Deset
mentum. All rights reserved
Answer:
uh, this is very confusing....is there anyway that you could word it differently?
Please help this is for a big grade
Answer:
x = 12
Side length = \(2\sqrt{3}\) in
Step-by-step explanation:
Area of the given hexagon = 6 × (Area of the triangular section)
Area of the triangular section = \(\frac{1}{2}(\text{Base})(\text{Height})\)
= \(\frac{1}{2}(2)(\sqrt{3})^{\frac{x}{12}}(\sqrt{3})^{\frac{x}{6}}\)
= \((\sqrt{3})^{\frac{x}{12}}[(\sqrt{3})^2]^{\frac{x}{12}}\)
= \((\sqrt{3})^{\frac{x}{12}}(3)^{\frac{x}{12}}\)
= \((3\sqrt{3})^{\frac{x}{12}}\)
Now area of the given hexagon = \(6(3\sqrt{3})^{\frac{x}{12}}\)
Since, area of the hexagon is = \(18\sqrt{3}\) in²
\(6(3\sqrt{3})^{\frac{x}{12}}=18\sqrt{3}\)
\((3\sqrt{3})^{\frac{x}{12}}=(3\sqrt{3})^1\)
\(\frac{x}{12}=1\)
x = 12
Therefore, side length = \(2(\sqrt{3})^{\frac{x}{12}}\)
= \((2\sqrt{3})^{\frac{12}{12}}\)
= \(2\sqrt{3}\) in.
Easy Grade 7 Math
First answer will be marked brainliest (has to have explanation)
Find the value of X! Thanks so much for your help :) Picture above
Answer:
Step-by-step explanation:
Angles x and z are supplementary, meaning that they add up to 180. From the markings on the diagram, angle z and the angle measuring 20 are complementary, meaning they add up to 90. So the game plan is to find out the measure of angle z first, then use that to find the measure of angle x.
angle z = 90 - 20 so
angle z = 70 degrees. And
angle z + angle x = 180. Subbing in our value for z:
70 + angle x = 180 and
angle x = 180 - 70 so
angle x = 110 degrees
Simplify.If x=2, then what is 3x^2 - 2x + 1?
Step-by-step explanation:
3x^2-2x+1
3(2)^2-2(2)+1
3(4)-4+1
12-4+1
8+1=9 Answer
Step-by-step explanation:
3(2)^2 - 2x + 1
=3x4 - 2x + 1
=12 - 2x + 1
= 13 - 2x
Answer: 13 - 2x
How do you draw an inverse relation graph?
To see the points of draw an inverse graph.
Choose some points on the given relation (graph).Interchange the x and y coordinates of each point to get new points.Plot all these new points and join them by a curve which gives the graph of the inverse relationship.Now, According to the question:
Inverse Relation of a Graph
If a relation is given as a graph, then its inverse is obtained by reflecting it along the line y = x. This is because the inverse of a relation is nothing but the interchanged ordered pairs of the given relation. To graph the inverse of a relation that is given by a graph,
Choose some points on the given relation (graph).Interchange the x and y coordinates of each point to get new points.Plot all these new points and join them by a curve which gives the graph of the inverse relationship.Learn more about Inverse graph at:
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PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
ddddd
Step-by-step explanation:
When a side has a measurement that is a mixed number, what do you need to do to use it in the formula: area = length x width?
We have to make that mixed number into proper number by changing into decimal number
Mixed Number:
A mixed number is nothing but the combination of a whole number and a proper fraction
How to find decimal value of mixed numbers?If we have given any side measurement into a mixed number say \(1\frac{1}{2}\) unit then we have to change this \(\frac{1}{2}\) into decimal value and the total unit value will be 1.5 unit
Now we can put into the formula
area = length x width
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find the value of x.
Answer:
x = 83 degree
Step-by-step explanation:
x + 43 = 126 (sum of two interior opposite angle is equal to the exterior angle formed)
x = 126 - 43
x = 83 degree
Answer:
83 degrees
Step-by-step explanation:
To find this you first find the angle opposite to 126. To do this you subtract 126 from 180 as 180 degrees is a straight line, and we are looking for that missing angle.
This equals 54 degrees.
Now, 54 + 43 equals 97.
Because all interior angles of a triangle always equal 180, you can find that last angle by subtracting 97 from 180. This leaves you with 83 degrees.
Please help me pair these. Please explain how you got the answer!
Answer:
Down in the explanation
Step-by-step explanation:
So.. my guess is the cost of the laminate flooring per square foot is D. The cost of the entire room could be A. The area of the kitchen could B, and the labor fee could be C. I'm sorry if I get this wrong, I tried my best.
Decide if the segments can make a triangle. Answer with Yes/No and explain your answer.
9: 8 cm, 12 cm, 16 cm
10: 5 in, 7 in, 20 in
9. Yes, since \(8+12>16\), meaning the side lengths satisfy the triangle inequality.
10. No, since \(5+7<20\), meaning the side lengths do not satisfy the triangle inequality.
The marketing club school is openings student store. They randomly survey 50 students who how much money they spend
onunch each day. What is the expected value for a student to spend on lunch each day?
Student Lunch Survey
Number of Dollars spent on
Students
Lunch Eschwy
510
SSS
05.18
5.07
See
signou
us
247
The expected value for a student to spend on lunch each day from the survey of 50 students is $5.18.
The expected value for a student to spend on lunch each day is derived from the survey of 50 students. This value is calculated by taking the total number of dollars spent by all of the surveyed students and dividing it by the total number of students surveyed. In this particular survey, the total number of dollars spent was $247, and the total number of students surveyed was 50. Dividing $247 by 50 gives us a value of $4.94. This value is then rounded up to the nearest cent to give us the expected value of $5.18. This expected value is the average amount of money that a student can expect to spend on lunch each day from the survey. It is important to note that this value is an estimate, as individual student spending habits may vary greatly.
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Select the equations that show a proportional relationship between x and y.
y = 3x - 3
y = 3x
Answer:
The answer is the 2nd one.
Please help! Piecewise functions always confuse me
Answer:
0
Step-by-step explanation:
Piecewise functions are like recycling bins. They give you a piece of information for whatever value you may encounter on your graph. So, all you need to do is sort out the value they give you into the correct "bin," so to speak.
The first equation they give you is for any value less than zero. So, anything from -0.9999999 (you get the idea) onwards will use the equation on the right. So, if you have a value less than zero, then you will plug the x-value into the equation (-x - 2). Therefore, let's say your value was f(-1). You'd do: (-(-1) - 2). The negative cancel on your -1 and you're left with 1. Then, 1 - 2 = -1. So, in this example, your answer would be f(-1) = -1.
The second equation gives you a possible range for any numbers between zero and anything less than three. Notice how in this one, the zero is included. This is because when you actually go to draw a piecewise function, your values can't repeat, or else it wouldn't be a function. So, since the problem asks you to find f(0), you need to use the second equation since it is the one that includes zero in its possible values. Thus, you plug in your number. In this case, the number is 0, so x = 0. The answer is to f(0) = 0
Lastly, the third equation is for any values that are three or bigger. This one includes the three in its possible values. If they gave you a value like f(4), you just do the same as in the last examples. 4^2 - 1 = 15. So, f(4) = 15.
And that's all there is to it. Just plug in the value they give you into the appropriate equation, and you'll be good to go. Hope this helped!
explanation and answer pls
Step-by-step explanation:
1) Total rectangle area = W x H = 12 x 8 = 96 cm^2
area of triangle (shaded portion) = 1/2 base * height = 1/2 * 7 x 8 = 28 cm^2
Nonshaded portion = 96 - 28 cm^2 = 68 cm^2
ratio shaded:nonshaded is then 28 : 68 = 7:17
2) Look at the two middle triangles : Height of each = 8 cm
then reading across the diagram height + base + height = 21 cm
so base = 5 cm
area of ONE triangle = 1/2 * base * height = 1/2 * 5 * 8 = 20 cm^2
total area for FOUR of them = 80 cm^2
PLEASE HELP ASAP 20 PTS
1. Name two vertical angles.
2. Name a linear pair with vertex B.
3. Name an angle not adjacent to, but complementary to ZFGC.
4. Name an angle adjacent and supplementary to ZDCB.
5. Write the statement All dogs have four feet in if-then form.
((will give brainliest)) What is the output of the function y = 12 + 3x if the input is 5.
Answer:
y = 27
Step-by-step explanation:
The output is the value of y when x = 5
Substitute x = 5 into the function , that is
y = 12 + 3(5) = 12 + 15 = 27 ← output
I HAVE ASKED THIS THREE TIMES. PLEASE ANSWER <3
Answer:
Step-by-step explanation:
For Question 3, we are simply taking an input for the function, as a value of x and solving the equation. For part a, we substitute 3/14 into the first function, and solve it:
f(x) = 7(3/14) + 2
f(x) = 21/14 + 2
f(x) = 49/14
f(x) = 7/2
For part b, we take the input of -3 into the second function and solve the equation:
h(x) = 4(-3)^2
h(x) = 4(9)
h(x) = 36
For Question 4, we are simply solving this equation by isolating the x variable. First, we simplify the equation to 4-5x+15+2x = -2 and simplify this again to -3x+19 = -2. Now, we can subtract 19 from both sides of the equation to get -3x = -21. Lastly, we isolate the x variable by dividing both sides of this equation by -3, to get x = 7.