Answer:
[tex]h=\frac{6}{4}[/tex]
Step-by-step explanation:
[tex]2h-(6h-5)=-1\\2h-6h+5=-1\\-4h+5=-1\\-4h=-6\\\boxed{h=\frac{6}{4}}[/tex]
distribute the negative sign to the parenthesiscombine like termssubtract [tex]5[/tex] from both sidesdivide both sides by [tex]-4[/tex]I NEED HELP ASAPPPPPP
Its height (in feet) as a function of time (in seconds after the timer was started) is given by the equation h(t)=−(t−12)2+81
. Which of the following statements is true?
The airplane reaches its minimum height of 12 feet in 81 seconds.
The airplane reaches its maximum height of 81 feet in 12 seconds.
The airplane reaches its minimum height of 81 feet in 12 seconds.
The airplane reaches its maximum height of 12 feet in 81 seconds.
Considering the given quadratic equation, the correct statement is given by:
The airplane reaches its maximum height of 81 feet in 12 seconds.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this problem, the equation is given by:
h(t) = -(t - 12)² - 81.
The vertex is (12,81), with a negative leading coefficient, hence it is a maximum point and the correct statement is given by:
The airplane reaches its maximum height of 81 feet in 12 seconds.
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Use Pemdas to evaluate: 5c - 19, c=10
A standard die is rolled and a month
of the year is chosen at random.
What is the probability of rolling a
number that is at least
then
choosing a month that does not
begin with the letter M?
200
Answer:
The probability is [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
First we will find the probability of having a roll that is at least 3
1 2 3 4 5 6
this means there is a [tex]\frac{4}{6}[/tex] chance we will roll at least 3
Next we will find which months of the year are applicable
January February March April May June July August September October November December
This means there is a [tex]\frac{5}{6}[/tex] chance we will pick a month that does not begin with the letter M.
Now we can multiply these chances together to see what the total probability is.
[tex]\frac{4}{6} * \frac{5}{6} = \frac{20}{36} \rightarrow \boxed{\frac{5}{9}}[/tex]
That is the answer
- Kan Academy Advance
The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on a particular color, number, or range of numbers. the table used to place bets contains 38 numbers, and each number is assigned to a color and a range. what is the probability of winning when betting on two lines that touch each other on the table as in 1-2-3-4-5-6?
The probability of winning when betting on two lines that touch each other on the table is 6/38
How to determine the probability?The sample size is given as:
n = 38
The numbers on the range 1-2-3-4-5-6 is:
Range = 6
So, the probability is calculated as:
P = Range/n
This gives
P = 6/38
Hence, the probability of winning is 6/38
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Please Help I Don't Understand!
Answer:
5.3
Step-by-step explanation:
Since they are similar triangles, we assume the ratio between AM/AN is equal to the ratio between MB/NC.
AM/AN = 6/8 = 3/4
If MB is 4
3/4 = MB/NC = 4/NC
3/4 = 4/NC
3NC = 16
NC = 16/3
16/3 = 5.333333
pls help... Prove (1+tanx)/(1+cotx)=tanx by algebra
[tex]\text{L.H.S}\\\\=\dfrac{1+\tan x}{ 1+ \cot x}\\\\\\=\dfrac{1+ \tan x}{ 1+ \tfrac 1{\tan x}}\\\\\\=\dfrac{1+\tan x}{\tfrac{\tan x+1}{\tan x}}\\\\\\=(1+\tan x) \times \dfrac{\tan x}{1+ \tan x}\\\\=\tan x\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
A bottle contains 20 blue bags and 15 red bags. If two bags are picked at random one after the other with replacement, what is the probability that the first bag is blue and then red?
Answer:
12÷49Step-by-step explanation:
The total number of bags in the bottle = 20 + 15 = 35
Then
the probability that the first bag is blue = 20/35
If we replace the first bag :
the probability that the second (picked) bag is blue = 15/35
Conclusion:
If two bags are picked at random one after the other with replacement
Then
the probability that the first bag is blue and then red is :
(20÷35)×(15÷35)
= (4÷7)×(3÷7)
= 12÷49
= 0.244897959184
Geometry triangle question
Answer:
Step-by-step explanation:
Answer:
x = 44 1/3°4x = 177 1/3°2x = 88 2/3°Step-by-step explanation:
The angle sum theorem tells you the sum of angles of a triangle is 180°. Angles of a linear pair are supplementary, so total 180°. These facts can be used to write a relation that can be solved for x.
__
interior anglesThe interior angle at the right end of the line is the supplement of 4x:
180° -4x
The interior angle at the left end of the line is the supplement of 2x:
180° -2x
angle sum86° +(180° -4x) +(180° -2x) = 180°
Then the solution to the triangle is ...
266° = 6x . . . . . . . . . add 6x-180°
x = 266°/6 = 44 1/3° . . . . . divide by 6
exterior angle 4x = 177 1/3°exterior angle 2x = 88 2/3°interior left side angle 180° -88 2/3° = 91 1/3°interior right side angle: 180° -177 1/3° = 2 2/3°please help me thank you :)
The function on the table is decreasing on the interval [-2, 0).
Over what interval is the function shown in the table decreasing?
A function is decreasing if, as x increases, f(x) decreases.
We can see that at x = -2, f(-2) = 12.
Then at x = 0, f(0) = 0.
And for the value after that:
x = 1, f(1) = 3
So now the function increases. Then we conclude that the function is decreasing on the interval [-2, 0), and after that the function increases.
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dependent or independent
The probability of coin landing with heads is an independent event.
The probability of winning 1st and 2nd prize is a dependent event.
What are independent and dependent events?
Independents events are events whose occurrence do not depend on each other. They are random events. The probability of a coin landing on heads is a random event.
Dependent events are events that are not random. The outcome of one event depends on the outcome of another event.
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Please help me thanks!
Problem 1
Any pair of equilateral triangles are always similar triangles. We can use the SSS (side side side) similarity theorem to prove this. One triangle is an enlarged copy of the other, or a shrunken reduced copy.
The rectangle is NOT similar to the square. They are different shapes. Similar figures are figures that are the same shape, but different sizes.
==========================================================
Problem 2
horizontal/vertical = horizontal/vertical
24/x = 6/5
24*5 = 6x
120 = 6x
x = 120/6
x = 20
Answer: The flagpole is 20 ft high (about 2 stories tall)
==========================================================
Problem 3
The formula to use is [tex]z = \sqrt{x*y}[/tex]
z = geometric mean of x and y
We multiply the numbers and take the square root. This only works for two values at a time. The geometric mean of three numbers will involve the cube root. Four numbers involves the 4th root, and so on.
Geometric mean of 6 and 10 is sqrt(60) = 7.74597 approximatelyGeometric mean of 2 and 32 is 8 exactlyGeometric mean of 2 and 8 is 4 exactlyGeometric mean of 7 and 9 is sqrt(63) = 7.93725 approximately==========================================================
Problem 4
For each figure, the y is the altitude and can be determined using the geometric mean formula.
Figure on the left: y = sqrt(2*6) = sqrt(12) = 3.4641Figure on the right: y = sqrt(6*14) = sqrt(84) = 9.1652The decimal values are approximate.
==========================================================
Problem 5
For 45-45-90 triangles, we divide the hypotenuse over sqrt(2) to find the leg length.
For the first triangle in the first row, we have y = 18/sqrt(2) = 9*sqrt(2) after rationalizing the denominator. Multiply top and bottom by sqrt(2).
Take this process in reverse to determine the hypotenuse if you know the leg length. This explains why the hypotenuse is 3.2*sqrt(2) for the second triangle in the first row.
-------------------
For 30-60-90 triangles, we go from the short leg x to the hypotenuse 2x.
Double the short leg to get the hypotenuse.
2x = 36
x = 36/2
x = 18
This is for the first triangle in the bottom row.
For the other triangle in this bottom row, we have a long leg of 4*sqrt(3). This must mean the short leg is exactly 4 units long. Therefore, the hypotenuse is 2*4 = 8 units long.
-------------------
Summary:Top row, first column: y = 9*sqrt(2)Top row, second column: y = 3.2*sqrt(2)Bottom row, first column: x = 18Bottom row, second column: y = 8The starting line for a race in Cass is 2.4 miles from the finish line. On a map of the course,
the starting and finish lines are 6 inches apart. What scale does the map use?
Write your answer in simplest form using whole numbers.
__ inches = __ miles
Answer:
5 in. = 2 mi.
Step-by-step explanation:
2.4mi = 6in
1 mi = 2.5in
2.5 inches = 1mile
Convert to whole #'s as the question asks
5 in. = 2 mi
-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)
Answer:
3 inches = 1 miles
Step-by-step explanation:
The first scale you get is with the information that is given:
6 inches = 2.4 miles
Then you simplify, dividing both sides by 2.4:
2.5 inches = 1 miles
Rounding up: 3 inches = 1 miles
Hope it helps!
if 7544644555- x is 45000 whats the value of x
Answer:
Step-by-step explanation:
45000+7544644555=x
x=7544689555
Answer:
x = 7544599555
Step-by-step explanation:
First let's make an equation :
7544644555 - x = 45000
Now to make x the subject and positive :
We add x to both sides :
7544644555 = 45000 + x
Now we subtract 45000 from both sides :
7544644555 - 45000 = x
x = 7544599555
Hope this helped and brainliest please
Please solve the question in the picture
Answer:
A. 11"
B. 39"
25 - 15 < x < 25 + 15
10 < x < 40
*x = whole number
Answer:
shortest: 11 incheslongest: 39 inchesStep-by-step explanation:
Given two side lengths for a triangle, the triangle inequality tells you the third side must have a length between the difference and the sum of the given sides.
__
A. minimum lengthThe difference of the given sides 25 and 15 is ...
25 -15 = 10
The smallest integer greater than 10 is 11.
The third side must be at least 11 inches long.
__
B. maximum lengthThe sum of the given sides is ...
25 +15 = 40
The largest integer smaller than 40 is 39.
The third side must be at most 39 inches long.
_____
Additional comment
Formally, the triangle inequality tells you that sides a, b, c must satisfy ...
a +b > c and b +c > a and c +a > b
When we're considering the length of third side (c), there are 3 cases to consider. 1) c is shortest; 2) c is between the other lengths; 3) c is longest. Without loss of generality, we can assume a > b.
1) c is shortest:
a+b>c is always true. b+c>a ⇒ c>a-b (the positive difference)c+a>b ⇒ c>b-a (the negative difference)conclusion: c > a-b
2) a > c > b:
a+b>c is always true. b+c>a ⇒ c>a-b (the positive difference) c+a>b ⇒ c>b-a (the negative difference)conclusion: c > a-b
3) c is longest:
a+b>c (the sum)b+c>a ⇒ c>a-b (the difference will be less than the sum)c+a>b ⇒ c>b-a (the negative difference will be less than the sum)conclusion: a -b < c < a+b . . . . . . for a>b
temp change -4.2 and 9.1
Subtraction is a mathematical operation that reflects the removal of things from a collection. The temperature change from -4.2 to 9.1 is 13.3.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The temperature change from -4.2 to 9.1 is,
ΔT = 9.1 - (-4.2) = 9.1 + 4.2 = 13.3
Hence, the temperature change from -4.2 to 9.1 is 13.3.
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Colin gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many cola bottles as smarties. He also picks twice as many smarties as marshmallows. What proportion of the bag of sweets are cola bottles?
Give your answer in its simplest form.
The simplest form of the proportion is 2/3
here , it is give that colin picks 3 times as many cola bottles as smarties and twice as many smarties as marshmallows. To simplify this let us suppose colin pic a number of marshmallows then number of smarties he pic will be 2a and also the number of cola bottles will be 6a.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Therefore, the proportion of the bag of sweets are cola bottles will be :
[tex]\begin{aligned}\frac{6a}{a+2a+6a}&=\frac{6}{9}\\&=\frac{2}{3}\end{aligned}[/tex]
Therefore, The simplest form of the proportion is 2/3
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Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it
The value that could replace variable x in the table is (15 - m)8
How to the value of x in an expression ?The students are given 3 minutes to complete each multiple choice question on a test and 8 minutes for each free response question.
From the table, the time to answer the whole multiple choice question is as follows:
total time = 3m
From the table, the total time taken to answer the free response question is as follows:
total time = (15 - m)8
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Answer: I believe it's C 8(15 - m)
Step-by-step explanation:
What is the discriminant of the quadratic equation 0 = -x² + 4x − 2?
Answer: 8
Step-by-step explanation:
The discriminant is [tex]b^2-4ac[/tex]
in the equation:
[tex]-x^2+4x-2[/tex]
A = -1, B = 4, C = -2
plug into equation
[tex]4^2-4(-1)(-2)[/tex]
[tex]16-8[/tex]
⇒ [tex]8[/tex]
2/3 - 5/4 + 7/3 whats the4 answer pls
Answer:
7/4Step-by-step explanation:
2/3 - 5/4 + 7/3
=8/12 - 15/12 + 28/12 (LCM=12)
(8 - 15 + 28)/12
=21/12
=7/4
did I solve this problem right?
Step-by-step explanation:
¿qué es eso?¿es esto importante? :)
Using complete sentences, describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is y=a^3√ x-h+k
Using translation concepts, it is found that the variables h and k affect the graph of the function as follows:
The function is shifted h units to the right.The function is shift k units up.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we consider the parent cube root function as follows:
[tex]y = \sqrt[3]{x}[/tex]
Then, these following changes happened:
x -> x - h, which means that the function was shifted h units to the right.y -> y + k, which means that the function was shifted k units up.More can be learned about translation concepts at https://brainly.com/question/4521517
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explanation/proof why the lines are parallel and insights
Answer:
The lines are parallel is the will never touch.
Step-by-step explanation:
HELP ASAP PLEASE (answer all parts please)
The upcoming championship high school football game is a big deal in your little town. The problem is, it is being played in the next biggest town, which is two hours away! To get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. You determine that if more than three students share a ride, on average, you will create the app.
You conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. The following data are collected:
6 5 5 5 3 2 3 6 2 2
5 4 3 3 4 2 5 3 4 5
You will construct a 90% confidence interval and 95% confidence interval for the mean number of students who share a ride to school, then you will compare and interpret the results.
Part A: Decide which partner will construct each confidence interval, and then state the parameter and check the conditions.
Part B: Construct the confidence interval. Be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process.
Part C: Interpret, share, and compare. Interpret the meaning of the confidence interval, compare your results with your partner, and describe the difference in the width of the interval and the margin of error.
Part D: Use your findings to explain whether you should develop the ride-share app for the football game.
A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.
What is the probability of randomly selecting an insect?
Express the probability as a reduced fraction
Answer:
1/3
Step-by-step explanation:
[tex]|\Omega|=30\\|A|=10\\\\P(A)=\dfrac{10}{30}=\dfrac{1}{3}[/tex]
Table for a linear equation
Fill in the table using this function rule.
y = -10x + 1
x y
-5
-1
0
1
Answer:
x: y :
-5 | 51
-1 | 11
0 | 1
1 | 11
Step-by-step explanation:
y = 10x + 1
(Table)
x: y:
-5 |
-1 |
0 |
1 |
Lets begin plugging in our (x) into the function(x = -5)y = -10(-5) + 1
y = 50 + 1 (if you multiply a negative by a negative it will be positive)
y = 51
(x = -1)y = -10(-1) + 1
y = 10 + 1
y = 11
(x = 0)y = -10(0) + 1
y = 0 + 1
y = 1
(x = 1)y = -10(1) + 1
y = 10 + 1
y = 11
Plug into the table
(table)
x: y :
-5 | 51
-1 | 11
0 | 1
1 | 11
If you have any questions feel free to ask:)Maurice averaged 79 points for 6 tests. How many more points must he score in the next text to raise his average to 80.
Answer:
86 is the score that Maurice must get to average his score to 80
If k is an integer, which of the
following must be odd?
F. 7k-1
G. 3k + 2
H. 1-5k
J. 7+2k
Answer:
J
Step-by-step explanation:
F is wrong, Lets say K is 1, then 7-1 = 6
G is wrong, say K is 2, then 6+2 = 8
H is wrong, say K is 1, then 1 - 5 = -4
J is right, Say K is 1, then 7+2 = 9, say K is 2, then 7+4 = 11, any integer used is an odd number
-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)
A quadrilateral has rotational symmetry of order 2 and no line of symmetry. What is the name of this quadrilateral?
a. square
b. rectangle
c. parallelogram
d. rhombus
Answer:
c
Step-by-step explanation:
paralallegram can be anything with parrell lines
Answer:
C
Step-by-step explanation:
A quadrilateral has rotational symmetry of order 2 and no line of symmetry.
A parallelogram has no lines of symmetry because it is impossible to draw a line through the center of any parallelogram that divides the figure into two equal halves that are mirror images of each other.
What is the relationship between the number of sides of the base of a prism and the number of lateral faces?
A . The number of sides of the base of a prism is less than the number of lateral faces. B. The number of sides of the base of a prism and the number of lateral faces is equal. C. The number of sides of the base of a prism is greater than the number of lateral faces.
C . There is no consistent relationship between the number of sides of the base of a prism and the number of lateral faces.
Answer: The number of sides of the base of a prism and the number of lateral faces is equal.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
edge exam
Katy invests a total of $13,000 in two accounts paying 2% and 7% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $310.00.
Invested at 2%___?
Invested at 7%___?
Answer:
2 % amount = 12000 7% amount = 1000 dollars
Step-by-step explanation:
x = 2% amount
then 13 000 - x = 7% amount
.02x + .07 (13000-x) = 310
-.05x + 910 = 310
.05x = 600
x = 600/.05 = 12000 then the 7% amount is 1000