glider begins its flight 3/4
mile above the ground. After 45 minutes, it is 3/10
mile above the ground. Find the change in height of the glider. If it continues to descend at this rate, how long does the entire descent last?
Answers
Answer:
1hour 15
Step-by-step explanation:
The glider begins its flight a mile above the ground.
Distance above the ground after 45 minutes =
Change in height of the glider
Next, we determine how long the entire descent last.
Expressing the distance moved as a ratio of time taken
Therefore: Total Time taken =45+30=75 Minutes
=1 hour 15 Minutes
Related Questions
f(x)=x^(2)-4x+32 is it true that it equals (0,32) on the y-intercept
Answers
Answer: Yes this equation is true.
How Do I know? Well, let's graph this and the answer is (0,32)
Answer:
Yes, it's true
DQ2 Do all linear transformations have a matrix representation? If so, what theorem establishes this? If not, provide a counter-example
Answers
Yes, This is established by the Rank-Nullity Theorem, A counter-example would be a transformation that is not linear.
Yes, all linear transformations have a matrix representation. The theorem that establishes this is the Matrix Representation Theorem. This theorem states that given a linear transformation T : V → W where V and W are vector spaces over a field F, then there is a unique matrix A such that T(v) = Av for any v in V. This theorem proves that any linear transformation can be represented by a matrix.
A counter-example of a linear transformation that does not have a matrix representation is a transformation that maps a vector in one vector space to a vector in a different vector space. For example, if V is a vector space over the field F, and W is a vector space over another field K, then the linear transformation T : V → W does not have a matrix representation since the size of the matrix would need to be different for each vector in the different vector spaces.
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Determine which set of side measurements could be used to form a triangle 13,19,7 25,12,13 18,2,24 3,1,5
Answers
The set of side measurements that could be used to form a triangle are;
18, 2, 243, 1, 5What is a triangle?A triangle is a three sided polygon that also has three interior angles.
The set of sides measurements that could be used to form a triangle can be obtained from the Sides of Triangle Rule as follows;
The Sides of Triangle Rule states that in a triangle, the sum of the lengths of two sides is always larger than the length of the third side, therefore, in a triangle with sides, a, b, and c, where c is the longest side, we get;
a + b > c
The length of the sides that form a triangle, based on the Sides of Triangle Rule are found as follows;
13 + 7 = 20 > 19;The first set of sides can not be used to form a triangle
12 + 13 = 25; The second set can not be used to form a triangle
18 + 2 = 20 < 24; The third set, 18, 2, 24 can be used to form a triangle
3 + 1 = 4 < 5; The fourth set can be used to form a triangle
The set of sides that can be used to form a triangle are;
18, 2, 24, and 3, 1, 5
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Consider random samples of size 86 drawn from population A with proportion 0.43 and random samples of size 60 drawn from population B with proportion 0.15
(a) Find the standard error of the distribution of differences in sample proportions A - B Round your answer for the standard error to three decimal places. Standard error=
(b) Are the sample sizes large enough for the Central Limit Theorem toa
Yes or No?
Answers
Answer:
a) The standard error is s = 0.071.
b) Yes, as both sample sizes are above 30.
Step-by-step explanation:
To solve this question, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Samples of size 86 drawn from population A with proportion 0.43
This means that \(n = 86, p = 0.43\). So:
\(s_A = \sqrt{\frac{0.43*0.57}{86}} = 0.0534\)
Samples of size 60 drawn from population B with proportion 0.15:
This means that \(n = 60, p = 0.15\). So:
\(s_B = \sqrt{\frac{0.15*0.85}{60}} = 0.0461\)
(a) Find the standard error of the distribution of differences in sample proportions A - B Round your answer for the standard error to three decimal places. Standard error=
This is:
\(s = \sqrt{s_A^2 + s_B^2}\)
\(s = \sqrt{(0.0534)^2 + (0.0461)^2}\)
\(s = 0.071\)
The standard error is s = 0.071.
(b) Are the sample sizes large enough for the Central Limit Theorem. Yes or No?
Yes, as both sample sizes are above 30.
the product of two possitive number is blank
Answers
Answer:
it is always positive
Step-by-step explanation:
hope it helps
In the expansion of (2+3x)^n, the coefficients of x^3 and x^4 are in the ratio of 8:15. FIn the expansion of (2+3x)^n, the coefficients of x^3 and x^4 are in the ratio of 8:15. Find the value of n.ind the value of n.
Answers
The value of n is 8.
What is Binomial Theorem?Binomial theorem is the method of expanding an expression consisting of two terms raised to any power.
Using the expansion of Binomial theorem, we can write,
(2 + 3x)ⁿ = ⁿC₀ (2)ⁿ (3x)⁰ + ⁿC₁ (2)ⁿ⁻¹ (3x)¹ + ⁿC₂ (2)ⁿ⁻² (3x)² + ⁿC₃ (2)ⁿ⁻³ (3x)³ + ⁿC₄ (2)ⁿ⁻⁴ (3x)⁴ + .............
Coefficient of x³ is ⁿC₃ (2)ⁿ⁻³ (3)³ and the coefficient of x⁴ is ⁿC₄ (2)ⁿ⁻⁴ (3)⁴.
Ratio of these coefficients is 8 : 15.
[ⁿC₃ (2)ⁿ⁻³ (3)³] / [ⁿC₄ (2)ⁿ⁻⁴ (3)⁴] = 8 / 15
Simplifying,
(4 × 2) / [(n - 3) 3] = 8/15
8 / 3n - 9 = 8 /15
Equating, we have,
3n - 9 = 15
3n = 24
n = 8
Hence the value of n is 8.
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Find prime factorizations of 3,210 and 3,528.
Show your work.
Answers
3210 = 2 × 3 × 5 × 107
Find the prime factorization of 3528
3528 = 2 × 2 × 2 × 3 × 3 × 7 × 7
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 3
GCF = 6
ANSWER: 6
9514 1404 393
Answer:
3210 = 2·3·5·107
3528 = 2³·3²·7²
Step-by-step explanation:
Divisibility rules help.
A number is divisible by 2 if it is even.
A number is divisible by 3 if the sum of digits is divisible by 3.
A number is divisible by 5 if it ends in 5 or 0.
A number is divisible by 7 if subtracting twice the 1s digit from the rest of the number results in a number divisible by 7.
3210Even, and ends in 0, so is divisible by 2·5
3210/10 = 321
Sum of digits is 6, so is divisible by 3
321/3 = 107
None of the divisibility rules applies, and √107 ≈ 10.3, so there are no prime factors of 107.
3210 = 2·3·5·107
__
3528Ends in 2 digits divisible by 4, so is divisible by 4
3528/4 = 882
Even, so is divisible by 2
882/2 = 441
Sum of digits is 9, so is divisible by 9
441/9 = 49
This is recognizable as the square of 7.
3528 = 2³·3²·7²
What the meaning of statement this?
Answers
The statement is asserting that the universal class (V) is defined as the collection of all sets, where every set is included. It signifies that V encompasses all possible sets within the given set theory framework.
The statement "The universal class set, or universe, is the class of all sets: V = {x: x = x}" is referring to the concept of the universal class or the universe in set theory.
In set theory, the universal class set, denoted as V, represents the collection or class that contains all sets. It includes every possible set that can be defined or exists within the context of the set theory being considered.
The notation "{x: x = x}" is used to define the elements of the universal class. Here, "x = x" represents a condition that is always true for any object or element, regardless of its nature. In other words, this condition holds for everything in the universe, as anything is equal to itself.
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please help with the problem below
Answers
Answer:
ow that so hard
Step-by-step explanation:
wait let me see the answer i well search it
Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 4-in squares from each corner. The length of the original piece of cardboard is 8 in more than the width. If the volume of the box is 1232 in, determine the dimensions of the original piece of cardboard.
Answers
Notice that the height of the box is equal to 4 in. Therefore, the volume of the box is
\(V=l\cdot w\cdot h=(x+8-8)\cdot(x-8)\cdot4=4x(x-8)\)Where l is the length, w is the width, and h is the height of the box.
Therefore, since the volume of the box is 1232 in^2
\(\begin{gathered} \Rightarrow1232=4x(x-8) \\ \Rightarrow1232=4x^2-32x \\ \Rightarrow4x^2-32x-1232=0 \\ \Rightarrow x^2-8x-308=0 \end{gathered}\)Solve the quadratic equation as shown below,
\(\begin{gathered} \Rightarrow x=\frac{8\pm\sqrt[]{64+1232}}{2}=\frac{8\pm36}{2}\to\text{ x has to be positive because it is a length} \\ \Rightarrow x=22 \end{gathered}\)Thus, the answer is that the original length is equal to 30in and the original width is 22in.
Alguém me ajuda pfv rápido
Answers
Answer:
9.72
Step-by-step explanation:
1.8 x 1.8 x 3 = 9.72
PLEASE HELP ON QUESTION ASAP !
hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.
If answers correct I'll rate you five stars a thanks and maybe even brainliest
Paragraph I needed help understanding:
If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.
My Question about paragraph:
If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.
Answers
If the sum of the voltage is 4.5V, it is possible that different cells have different voltages. For example, three cells with voltages 1V, 1.5V, and 2V could be connected together side by side to give a total voltage of 4.5V.
To find the voltage of each cell, we would need to know the voltage across each cell or the voltage of the other cells connected in the circuit. Then we could use the fact that the sum of the voltages across all cells in the circuit is equal to the total voltage of the circuit to solve for the voltage of each cell.
Please look at the picture and answer the question thank you
Answers
Answer:
( - inf, 5) (9, inf )
Step-by-step explanation:
The arrow(s) at the end of the line indicate that the highlighted green line does not stop at a specific number, hence the use of infinity signs (inf). If the arrow is going to the left on a line, then the value would be negative infinity. If it is going to the right, then it would be positive.
As for the space in between the green arrows pointing separate ways, there are two points, one which is positioned at the number 5 and the other at the number 9. Because there are two separate points which are both solid green, the use of parentheses is needed. The final answer is, as mentioned, ( - inf, 5) (9, inf ).
1. George's gross pay was $565. If he has to pay 1.45% to Medicare tax, how much will the Medicare tax deduction be?
o
$8.19
$5.45
$819.25
$0.81
Answers
Answer: $8.19
Step-by-step explanation: Times 565 by 1.45% and that's what you get.
Answer:
The answer is $8.19
Step-by-step explanation:
The coordinates on a map for San Francisco are
(53, 17) and those for Sacramento are (123, 78).
Note that coordinates represent miles. Find the
distance between the cities to the nearest mile.
I am unsure how to do all of them. Help would be appreciated!
Answers
The required distance between the two given cities using the distance formula is 93 miles.
What is the distance?Distance is the sum of an object's movements, regardless of direction.
The distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
Learn how to apply the Pythagorean theorem to find the distance between two points using the distance formula.
The Pythagorean theorem can be rewritten as d=(((x 2-x 1)2+(y 2-y 1)2) to calculate the separation between any two locations.
So, we have the points:
(53, 17) and (123, 78)
Distance formula:
d = √(x2-x1)² + (y2-y1)²
Now, calculate as follows:
d = √(x2-x1)² + (y2-y1)²
d = √(123-53)² + (78-17)²
d = √(70)² + (61)²
d = √(4,900) + (3,721)
d = √8,621
d = 92.84
Rounding off: 93 miles
Therefore, the required distance between the two given cities using the distance formula is 93 miles.
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Guys, how many triangles are in this picture? Triangles with stripes inside also count
Answers
Therefore , as a result Two of a triangle's sides and the included SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.
What is the SAS?The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.
Here,
if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.
Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.
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Helppp pleasee!!
In your own words, write a definition for sales tax.
2) If you buy a meal from a restaurant that costs $15.00, and the tax is 7%, how much do you pay in taxes?
- Explain in detail, the steps you would take to solve this sales tax question.
Answers
The value of the tax for the meal is $1.05.
What Is a Sales Tax?The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.
Depending on the regulations in that country, a business may be responsible for sales taxes in that jurisdiction if it has a presence there, which can be a physical site, an employee, or an associate.
Given the cost of the meal = $15.00
and rate of tax = 7%
converting the rate of tax into decimal form,
rate of tax = 7% = 7/100
rate of tax = 0.07
amount of tax = cost x rate of tax
amount of tax = 15 x 0.07
amount of tax = $1.05
Hence the amount of tax is $1.05.
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What is the perimeter of the shape below, given a = 5.66, b = 13.75, c = 6.76, d = 4.59
Answers
Answer:
61.52
Step-by-step explanation:
5.66+ 13.75 + 6.76 + 4.59 + 5.66+ 6.76 + 13.75 +4.59
Answer:
61.52
Step-by-step explanation:
Given the values, you can solve for the remaining sides.
a + c will equal the side on the right and b + d will equal the side at the top.
So 2(a+c) + 2(b+d) will give the perimeter.
2(5.66+6.76) + 2(13.75+4.59) = 24.84 + 36.68 = 61.52
The British government conducts regular surveys of household spending. The average weekly household spending on tobacco products and alcoholic beverages for each of 11 regions in Great Britain are recorded. A scatterplot of spending on tobacco versus spending on alcohol is given below: What is the most plausible value for the correlation between spending on tobacco and spending on alcohol
Answers
Answer:
Great Britain we’re colonizers
Step-by-step explanation:
Answer:
C) 0.08
Step-by-step explanation:
4 x 10 = ___ x 4
Which number correctly fills in the blank?
Answers
Answer:
It's 10, it's just basically the same as 4x10 but turned around.
Step-by-step explanation:
Hello,
The quantity of the terms on the right has to be the same as the quantity of the terms on the left because it is an equation.
Let's write our equation according to the sentence above;
\(4.10=4x\)
Let's divide both equations by 4.
\(\frac{4.10}{4}=\frac{4x}{4}\)
Simplification can be made. In this case, the following result should be obtained;
\(10=x\)
The correct answer should be 10. Good luck!
If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent.
After adding a tip, the total lunch cost was $32.24. What percentage tip did they give? Enter your answer to the nearest percentage.
Answers
Answer:58.60
Step-by-step explanation:
because this was just a wasted of you time very not sorry thx for the pts .
Which of the following is the graph of f(x) = cos(x +x++)?
Answers
ANSWER:
STEP-BY-STEP EXPLANATION:
We have the following function:
\(\: f\mleft(x\mright)\: =\: cos\mleft(x\: +\frac{\pi}{\:2}\mright)\)To know the value in 0, we replace:
\(\: f\mleft(0\mright)\: =\: cos\mleft(0+\frac{\pi}{\:2}\mright)=\cos \mleft(\frac{\pi}{\:2}\mright)=0\)Therefore, the possible options would be B and C, but the correct answer is C, since in the sine function the cosine value has been decreasing beforehand.
Riley put £450 into a savings account which
gathered simple interest at a rate of 2% per month.
After 6 months, Riley used some of the money in
the account to buy a bike costing £480.
How much money did Riley have left?
Answers
Answer:
£26.77
Step-by-step explanation:
450(100% + 2%)^6
= 450 (1.02)^6
= 506.77.
506.77 - 480 - 26.77.
Riley had £26.77 left.
3. Copy these equations and add brackets so that the answers are correct. 42-8x3-22=80 b) 75+5x4-70=25 160÷4x3 + 2 = 200 d) 120÷2x3+5=25
Answers
The correct brackets for the equations are added as follows:
a) (42 - 8) x 3 - 22 = 80
b) 75+ (5 x 4) -70 = 25
c) (160 ÷ 4) x (3 + 2) = 200
d) 120 ÷ (2 x 3) + 5 = 25.
What are equations?Equations are mathematical statements that equate or show that two or more mathematical expressions are equivalent or equal.
Equations use the equation symbol (=) to show the equality of the algebraic expressions.
Using parentheses in equations enable the use of the distributive property to solve the equation.
Thus, the correct parentheses have been added to the equations to prove them correct when solved.
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ciera is creating a logo the figure on the grid shows the background determine the ration of the area of the inner square to the area of the outer square SUMMARY:the area of the inner square is: the area of the outer square:the ratio of the area of the inner square to the area of the outer square is:
Answers
Given that Ciera is creating a logo on the figure grid, let's find the area of inner square to the area of the outter square.
• Area of inner square:
Let's first find the length of one side of the inner square.
Take two end points:
(x1, y1) ==> (0, 4)
(x2, y2) ==> (4, 10)
Apply the distance formula:
\(\begin{gathered} d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ d=\sqrt{(4-0)^2+(10-4)^2} \\ \\ d=\sqrt{4^2+6^2} \\ \\ d=\sqrt{16+36} \\ \\ d=\sqrt{52} \\ \\ d=7.2\text{ units} \end{gathered}\)The length of one side of the inner square is 7.2 units.
To find the area, apply the formula:
\(A=l^2\)Where:
l = 7.2 units
We have:
\(Area=7.2^2=52\text{ square units}\)Therefore, the area of the inner square is 52 square units.
• Area of the outer square:
From the graph, the length of one side of the outer square is:
L = 10 units.
The area will be:
\(A=10^2=100\text{ square units}\)The area of the outer square is 100 square units.
• Ratio of area of inner square to area of outer square:
For the ratio, we have:
\(\begin{gathered} Ratio=Area\text{ of inner square : Area of outer square} \\ \\ Ratio=52:100 \\ \\ Ratio=13:25 \end{gathered}\)Therefore, the ratio of the area inner square to the area of the outer square is 13 : 25
ANSWER:
The area of the inner square is: 52 square units
The area of the outer square is: 100 square units
The ratio of the area of the inner square to the area of the outer square is: 13 : 25
1 : The area of the inner square is 52 square units. The area of the outer square is 100 square units.
2: The ratio of the area of the inner square to the area of the outer square is 0.52
Step-by-step explanation:
what is 23 + 23 - 789
Answers
Answer:
743
Step-by-step explanation:
23+23=46
789-46=743
Answer:
743
Step-by-step explanation:
bryan’s hockey team is purchasing jerseys the company charges 250$ for a one time set up fee and 23$ for each printed jersey which expression represents the total cost of x number of jerseys for the yeam
Answers
Answer:
23x+250 and that would equal your total cost
Instructor Celsius looked at her class data from Quiz 3. She recorded the students' amount of study time (in minutes) and quiz score (out of 100) She made scatterplot of her data and saw that it had linear pattern. She computed that r = 0.80.After telling the class about these results one student figures this means that if they study _ very long time they will make very high quiz score: What Is the wrong with this conclusion? The teacher is using the wrong type of plot; thc efore the results are invalid. Since 8 you know the slope will be negative 50 studying long time will give vou a lower score The student is assuming that correlation implics causation and are correct
Answers
For the given scatter plot of the data, the wrong with the conclusion was shown by option B. Since r = 0.80 slope will be negative 50 studying long time will give you lower score is incorrect.
As given in the question,
Based on the class data of quiz3,
Teacher made scatterplot to represent the linear relation between amount of study time and quiz score
Pattern form was linear.
Using which correlation coefficient was computed to r = 0.8.
From the data scatterplot as it was linear the more time students study the good will the score.
Therefore, from the information of scatterplot option B. Since r = 0.80 slope will be negative 50 studying long time will give you lower score is incorrect answer.
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a painting company will paint this wall of a building. The owner gives him the following dimensions.
Window A is 6 1/4ft x 5 3/4ft
Window B is 3 1/8ft x 4ft
Window C is 9 1/2 ft2
Door D is 4ft x 8ft
Whole Wall Dimensions:
Window A:
Window B:
Window C:
Door:
What is the area of the painted part of the wall?
52 1/2 x 33 = Wall
Answers
The given area of the \(52\frac{1}{2}\) ft. by 33 ft. wall less the areas of the Windows and the Door give the area of the painted part of the wall as \(\underline{1642\frac{9}{16}}\) ft.²
How can the area of the painted part be calculated?The area of the painted part of the wall is \(\underline{1642\frac{9}{16}}\) ft.²
The given dimensions of the wall are;
The width of the wall = \(52\frac{1}{2}\) ft.
The height of the wall = 33 ft.
The painted area = Area of the wall - (Area of the widows + The door)
Which gives;
\(52\frac{1}{2} \times 33 - \left(6\frac{1}{4} \times 5\frac{3}{4} + 3\frac{1}{8} \times 4 + 9\frac{1}{2} + 4 \times 8 \right) = \mathbf{ 1642 \frac{9}{16}}\)
The area of the painted part of the wall is \(\underline{1642\frac{9}{16}}\) ft.²
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simplify pls do fast
Answers
The sum of the decimal values given is 0.93
Simplifying the decimal values can be done thus :
0.36 + 0.57Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .
0.36*100 = 36
0.57*100 = 57
Adding the whole numbers :
__36
+_57
_____
__93
Dividing the sum by 100 to convert to an equivalent decimal value,
93/100 = 0.93Therefore, the required value is 0.93
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