Answer:
Step-by-step explanation:
The minimum value of sinx is -1 when x = 3π/2, 7π/2, ...
In [2π, 4π), x = 7π/2
The function f(x)=sin(x) achieves its minimum value of -1 at x=3π.
The function f(x)=sin(x) is a periodic function with a period of 2π, meaning it repeats every 2π units. Within the interval [2π,4π), which is one period of the function, the minimum value of sin(x) occurs at x=3π.
This is because at x=3π, the sine function reaches its minimum value of -1. As you move further away from 3π, the sine function starts increasing again.
So, within the interval [2π,4π), the function f(x)=sin(x) achieves its minimum value of -1 at x=3π.
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Consider the following equation. 4x + 2 = 8x - 5 Which equation and explanation could represent a step in finding the value of x
Answer: 0 or 1.75
Step-by-step explanation:
Answer:
x=1.75
Step-by-step explanation:
First add 5 to each side then you would have 4x+7=8x then subtract 4x from each side and you'll get 7=4x the divide each side by four and you'll get 1.75=x
what are the 3 linear equations and how they different
x2-x-6=0, then x is
Answer:
A is the answers for the question
Step-by-step explanation:
please mark me as brainlest
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
[tex]\longrightarrow[/tex]Given is a quadratic equation which can be solved by splitting the middle term.
[tex]\leadsto[/tex]For this we have to look at factors of the constant term . Since here constant term term is- 6 so splitted middle term should have product equal to -6
[tex]\begin{gathered}\\\implies\quad \sf x^2-x-6=0 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf x^2-3x+2x-6=0 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf x(x-3)+2(x-3)=0 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf (x-3)(x+2) =0 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf (x-3) =0 \quad or \quad (x+2) =0\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf x=3 \quad or \quad x= -2\\\\\end{gathered} [/tex]
[tex]\quad\therefore\: \sf x \:is \: \:3 \:or -2 [/tex]
Personal Math Trainer
Module 11 -
1
2
3
4
5
Consider the inequality and number line representation.
represented correctly on the number line.
0
2
4
6
8
10
X26
No
A
B
Answer:
No, I believe the circle should be filled in if it's greater than or equal to
6x - 10y = 20 in slope intercept form
The general equation of a straight line in slope-intercept form is given as:
y = mx + c
The slope-intercept form of 6x - 10y = 20 is y = (3/5)x - 2.
What is equation of a line?The equation of a line is a form of representing the set of points, which form a line in a coordinate system.
The general equation of a straight line is given as:
y = mx + c,
where m = slope of the line and c = y-intercept.
We have,
6x - 10y = 20 _____(1)
The slope intercept form is y= mx + c
So,
Subtract -6x on both sides.
6x - 10y - 6x = 20 - 6x
-10y = 20 - 6x
Divide both sides by -10.
y = 20/-10 + 6x/10
y = -2 + 3x/5
y = (3/5)x - 2
Thus,
The slope-intercept form of 6x - 10y = 20 is y = (3/5)x - 2.
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It was found that the mean length of 100 diodes (LED) produced by a company
was 20.05 mm with a standard deviation of 0.02mm. Find the probability that a diode
selected at random would have a length less than 20.01mm
Using the normal distribution, it is found that there is a 0.0228 = 2.28% probability that a diode selected at random would have a length less than 20.01mm.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, we have that:
The mean is of [tex]\mu = 20.05[/tex].The standard deviation is of [tex]\sigma = 0.02[/tex].The probability that a diode selected at random would have a length less than 20.01mm is the p-value of Z when X = 20.01, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{20.01 - 20.05}{0.02}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228.
0.0228 = 2.28% probability that a diode selected at random would have a length less than 20.01mm.
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I have a few questions. Help is very very appreciated!
1. Solve for x. –6x ≥ 72
2. Solve for x. x/3 + 14 <10
3. Solve for x. 5 + kx = 17
4. Solve for x. 9x – 2c = k
5. Rewrite the formula for the given variable. A= 1/2bh
Rewrite the formula for b.
Rewrite the formula for h.
Answer:
Step-by-step explanation:
1. -432X
2.46.6X
3.KX = 17-5
=KX=12
4. X=9+2C+K
= X=11CK
Suppose heights of seasonal pine saplings have an unknown distribution with mean 291 and standard deviation 14 millimeters. A sample of size n=55 is randomly taken from the population and the mean is taken. Using the Central Limit Theorem for Means, what is the standard deviation for the sample mean distribution?
Answer:
1.89
Step-by-step explanation:
The center al limit theorem for means states that the standard deviation of the normal distribution of sample means is equal to the original distribution’s standard deviation divided by the square root of the sample size. the original standard deviation is 14 and the sample size is 55.
The banana bread card states it serves 10 people. How much flour is required to make enough bread for 30 people?
========================================================
The card says we need 1 & 1/2 cups of flour
Let's convert this to decimal form
1 & 1/2 = 1 + 1/2
1 & 1/2 = 1 + 0.5
1 & 1/2 = 1.5
The mixed number 1 & 1/2 is equivalent to the decimal number 1.5
Now multiply this by 3. This is because the recipe originally serves 10 people, but we want to serve 3 times as many people (3*10 = 30 total).
So, 3*1.5 = 4.5
Now convert back to a mixed number
4.5 = 4 + 0.5
4.5 = 4 + 1/2
4.5 = 4 & 1/2
We'll need 4 & 1/2 cups of flour.
----------------------
Here's another way to approach the problem
Multiply 3 by 1 & 1/2 to get
3*(1 & 1/2) = 3*(1 + 1/2)
3*(1 & 1/2) = 3*1 + 3*1/2
3*(1 & 1/2) = 3 + 3/2
3*(1 & 1/2) = 3 + (2+1)/2
3*(1 & 1/2) = 3 + 2/2 + 1/2
3*(1 & 1/2) = 3+1 + 1/2
3*(1 & 1/2) = 4 + 1/2
3*(1 & 1/2) = 4 & 1/2
Solve for r.
a = qb to
What is r equal to?
r=a−qb is the correct answer-
r=0
Step-by-step explanation:
r is not in the equation
The dotplot shows the heights of 25 students in Mrs. Navard’s statistics class.
A) Find the Percentile for Lynette, the student who is 65 in. tall.
B) Ashers height is at the 88th percentile of the distribution. Interpret this value in context. How tall is Asher?
Answer:
A)Percentile for Lynette, the student who is 65 in. tall is 36th
B) Asher is 22 inches tall.
Step-by-step explanation:
Percentile : It is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls
A) Find the Percentile for Lynette, the student who is 65 in. tall.
No. of students below 65 inch =9
So, Percentage of data below 65 inch =[tex]\frac{9}{25} \times 100 = 36 \%[/tex]
So, Percentile for Lynette, the student who is 65 in. tall is 36th
B)Ashers height is at the 88th percentile of the distribution. Interpret this value in context. How tall is Asher
[tex]88=\frac{x}{25} \times 100 \\\frac{2200}{100}=x[/tex]
22=x
So, No. of students below or st 88th percentile = 22
So, Asher is 22 inches tall.
7) Find the base of a triangle whose height is 12cm, and area is 96cm? Your answer
Answer:
16 cm
Step-by-step explanation:
Area of triangle= ½ ×base ×height
Substitute given information into the formula:
96= ½ ×base ×12
Simplify:
96= 6 ×base
Divide both sides by 6:
base= 96 ÷6
base= 16 cm
Answer:
16 cm[tex] \\ [/tex]
Step-by-step explanation:
It is given that, the height of a triangle is 12cm, and its area is 96cm² and we have to find the base of triangle.
[tex] \\ [/tex]
To find the base of the triangle, we have to know this formula :
[tex] \\ {\longrightarrow \pmb{\frak {\qquad \frac{1}{2} \times Base \times Height = Area_{(Triangle)} \:}}} \\ \\[/tex]
Now, substituting the values in the formula :
[tex]{\longrightarrow \pmb{\sf {\qquad \frac{1}{2} \times Base \times 12 = 96 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad \frac{1}{ \cancel2} \times Base \times \cancel{12 } = 96 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad {1} \times Base \times 6 = 96 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad Base \times 6 = 96 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad Base = \frac{96}{6} \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad Base = 16\:}}} \\ \\[/tex]
Therefore,
The base of the triangle is 16 cmThese points are linear.
Find the slope.
x 1 3 5 7 9
y 0 5 10 15 20
Answer:
5/2
Step-by-step explanation:
to find the slope use the equation y2 - y1/ x2 - x1
sooo
0 - 5/1 - 3
-5 / -2
5/2
Write 2.81 repeating as a mixed number in simplest form, if possible explain.
Answer:
2.81 as a mixed number is 2 81/100
Step-by-step explanation:
What is the inverse of the function f(x) = 2x – 10?
Answer:
f^-1(x) = (x+10) / 2
Step-by-step explanation:
sooo
f(x) = 2x - 10
y = 2x - 10
x = 2y - 10
x + 10 = 2y
y = (x + 10) / 2
f^-1(x) = (x+10) / 2
Answer:
[tex]f^{-1}(x)=\frac{x+10}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=2x-10\\\\y=2x-10\\\\x=2y-10\\\\x+10=2y\\\\\frac{x+10}{2}=y\\ \\f^{-1}(x)=\frac{x+10}{2}[/tex]
As the two functions are inverses of each other, they will be symmetrical about the line [tex]y=x[/tex].
write the absolute value equations in the form x−b =c (where b is a number and c can be either number or an expression) that have the following solution sets:b Two solutions: x=1/2, x=−1/3.
I will award Brainliest
Answer:
Ix-1/12I=5/12
Step-by-step explanation:
Do ur rsm
1.Which measuring tool will you use to get 3/4 cup
a.1/2
b.1/4 + 1/4
c.1/2 + 1/4
d. 1/2 + 1/8
Devaughn is 14 years older than Sydney. The sum of their ages is 110. What is Sydney's age?
Answer:
The answer would be 48
Sydney is 48
Devaughn is 62
48 + 62 = 110
Okays so you start by doing the equation 110 - 14 = 96
then dividing 96 by 2 (96 ÷ 2) which is 48
add 14 to 48 and you will get 62. We can automatically assume that sydney is 48 because when you add 48 to 62, you will get 110. I hope that this helps! ^‿^
The average class size in the school is 25 students. Suppose this class is
representative of all the students in the school. How many students in this class are
boys?
Answer:
10 of the students in the class are boys
HELP ASAP PLSSS
Identify the relationship
BETWEEN the two angles below. Select ALL that
apply.
Linear Pair
Supplementary Angles
Congruent Angles
Complementary Angles
Vertical Angles
Adjacent Angles
Answer:
complementry and ajaecent
Step-by-step explanation:
complementry because they add up to 90 and ajecent cause they are next to each other
A stick is 9 m long. A rope is 2 times as long as the stick. If the rope is divided into 3 pieces, how many meters long is each piece of rope?
Answer:
the answer is 9
Step-by-step explanation:
Help me I don’t get it
g+3f+f+g+g
g+g+g+3f+f
g(1+1+1)+f(3+1)
g(3)+f(4)
3g+4f
Simplify 6 - 2^3 + (-9 + 5) • 2.
-10
-12
6
-8
Answer:
The answer is -10.
Step-by-step explanation:
what is the slope of the line that passes through (3,-5) and (-7,15)
Answer:
Slope = -2
Step-by-step explanation:
Answer: The slope is -2
Step-by-step explanation: Find the difference in y-values divided by the difference in x-values
15 -(-5) = 20
-7 - 3 = -10
20/-10 = -2
Which step shows the result of applying the subtraction property of equality?
One-fourth (12 x + 8) + 4 = 3
Step
Solution
1
3 x + 2 + 4 = 3
2
3 x + 6 = 3
3
3 x = negative 3
4
x = negative 1
Answer:
1
Step-by-step explanation:
Answer:
3X + 6 = 3
Step-by-step explanation:
Which relation is a function
Answer:
A function is a relation in which each input has only one output.
Step-by-step explanation:
In the relation Y is a function of X because for each input x(1,2,3 or 0) there is only one output y.
The relation that is a function is the relation (d)
Checking the relations that are functionsFrom the question, we have the following parameters that can be used in our computation:
The relations (1) to (4) represent the given parameter (see attachment)
Next, we test the options
Relation (a)
This relation is not a function
This is because it fails the vertical line test i.e. some output values all point to the same input value,
Relation (b)
This relation is not a function
This is because it fails the vertical line test i.e. some output values all point to the same input value,
Relation (c)
This relation is not a function
This is because it fails the vertical line test i.e. some output values all point to the same input value,
Relation (d)
This relation is a function
This is because the inputs all point to different output values
Hence, the option (d) is a relation
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Dominic goes jogging every morning. If m represents the number of miles he jogs each day, which expression represents the total number of miles he jogs in a week?
7 m
7 + m
7 minus m
StartFraction 7 over m EndFraction
Answer:
The expression which represents the total number of miles he jogs in a week is 7 m ⇒ A
Step-by-step explanation:
Let us solve the question
∵ Dominic goes jogging every morning
∵ m represents the number of miles he jogs each day
→ That means he jogs m miles every day
∵ There are 7 days in a week
→ That means he jogs m miles every day for 7 days
∵ m + m + m + m + m + m + m = 7 × m
∴ He jogs in 1 week 7 × m miles
∴ He jogs 7 m miles in a week
The expression which represents the total number of miles he jogs in a week is 7 m
Answer:
A. 7m
Step-by-step explanation:
Since the answer above was really long
A light airplane is flying at 85 km/h on a heading of 130°. The wind is blowing at 25 km/h from a bearing of 260°. Find the ground velocity of the airplane.
Answer:
71.54km/hr
Step-by-step explanation:
5. Expand the monomial x⁴y².
Answer:
23y
Step-by-step explanation:
this my answer hope it's help
make me brainless pls
Write the equation of the line that passes through (6, 2) with a slope of 4.
Answer:
y=mx-22
Step-by-step explanation:
Take standard line equation y=mx+c and substitute the given values of m=4, x=6, y=2 to find out the value of c