Answer:
the distance from Fresno to San Francisco on the second map is 75cm
Step-by-step explanation:
The scale on the first map is 1 cm to 20 km
The distance from Fresno to SanFrancisco is 15 cm
1cm/20km = 15cm
The scale on the second map is 1 cm to 100 km.
1cm/100km = x
X= 15cm*100km/20km *1cm/1cm
X=15cm *5
X= 75 cm
the distance from Fresno to San Francisco on the second map is 75cm
Match the vocabvulary
Answer: The answers are in the steps I numbered it as a question from 1 to 12 hopes it helps.Read it carefully.
Step-by-step explanation:
(1) Answer is RATIONAL NUMBERS.
(2) Answer is Fraction
(3) Answer is Terminating decimal
(4) Answer is Decimal
(5) Answer is Integer
(6) Answer is Repeating Decimal
(7) Answer is Perfect Square
(8) Answer is CLASSIFY
(9) Answer is Real Numbers
(10) Answer is Percent
(11) Answer Whole numbers
(12) Answer is Irrational numbers
when 1760 is divided into 14 equal parts the remainder is 10. what is a correct way to write the quotient
Answer:
125 10/14
Step-by-step explanation:
1,760/14 = 125 r10
- 125 x 14 + 10 = 1,760
You turn the remainder into a fraction using whatever number you divided the main number by. In this case that would be 14.
Suppose a ball is thrown upward to a height of h0 meters. Each time the ballâ bounces, it rebounds to a fraction r of its previous height. Let hn be the height after the nth bounce and let Sn be the total distance the ball has traveled at the moment of the nth bounce. Complete parts a. and b below. h0 = 9, r = o.4Find the first four terms of the sequence (Se).
Answer:What if you were asking this question? How would you explain it to yourself?
Step-by-step explanation:
Match each verbal description to its corresponding expressio.
Verbal Description
Expression
the cube of the difference of 5 times x and
7 divided by the sum of 7 times x and 1
7 times the difference of 5 times x and 7 and
the sum of x and 1
the sum of 5 times the cube of x, 1, and
7 times x, divided by 5
the difference of 5 times the cube of x and
7 divided by 7 times the sum of x and 1
553 +75 + 1
558 +19
(51 – 7)3
78 +1
(51 - 7
715 + 1)
The+1) 7(51 – 7)(8 + 1)
Answer:
Step-by-step explanation:
The solutions to the answers are given below :
1) option c
2) option f
3) option b
4) option d
[tex]a)\frac{5x -7}{7(x+1)} \\\\\\b) 7(5x-7) (x+ 1 )\\\\\[/tex]
[tex]c)\frac{5x^3 + 7x +1}{5}[/tex]
[tex]d) \frac{5x-1 }{7(x+1)}[/tex]
An Expression is a mathematical term consisting of variables, connected using some operators.
Example : 2x + 3
where x is the coefficient of 2 and both the terms are joined using the addition operator.
The verbal description of the corresponding expression is:
1) The cube of the difference of 5 times x and divided by the sum of 7 times x and 1
ans.[tex]\frac{5x - 7}{7(x+1)}[/tex]
2) 7 times the difference of 5 times 6 and 7 and the sum of x and 1.
ans. [tex]7( 5x - 7 )( x+1)[/tex]
3) The sum of 5 times the cube of x , 1 and 7 times x , divided by 5 .
ans. [tex]\frac{5x^3 = 7x +1}{5}[/tex]
4) The difference of 5 times the cube of x and 7 divided by 7 times the sum of x and 1.
ans [tex]\frac{5x -7}{7(x+ 1)}[/tex].
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( 6m + 3 )( m - 2 ) A) 4m 2 - 2m - 20 B) 4m 2 - 20 C) 4m 2 + 18m + 20 D) 6m 2 - 9m - 6
Answer:
D
Step-by-step explanation:
So we have the expression:
[tex](6m+3)(m-2)[/tex]
Use the distributive property and distribute:
[tex]=(6m+3)(m)+(6m+3)(-2)[/tex]
Distribute:
[tex]=(6m^2+3m)+(-12m-6)[/tex]
Combine like terms:
[tex]=6m^2+3m-12m-6\\=6m^2-9m-6[/tex]
The correct answer is D
Edit: Typo
3 days converted to seconds
Answer:259,200 seconds
Step-by-step explanation:
24 hours in one day
1 hour= 60 minutes
1 minute =60seconds
60x60=3,600
3,600x24=86,400 seconds
86,400x3(days)=259,200 seconds
Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = x/6x^2 + 1 f(x) = sigma^infinity_n = 0 (-1)^n x^2n+1 6^n Determine the interval of convergence. (Enter your answer using interval notation.)
Looks like your function is
[tex]f(x)=\dfrac x{6x^2+1}[/tex]
Rewrite it as
[tex]f(x)=\dfrac x{1-(-6x^2)}[/tex]
Recall that for [tex]|x|<1[/tex], we have
[tex]\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n[/tex]
If we replace [tex]x[/tex] with [tex]-6x^2[/tex], we get
[tex]f(x)=\displaystyle x\sum_{n=0}^\infty\frac(-6x^2)^n=\sum_{n=0}^\infty (-6)^n x^{2n+1}[/tex]
By the ratio test, the series converges if
[tex]\displaystyle\lim_{n\to\infty}\left|\frac{(-6)^{n+1} x^{2(n+1)+1}}{(-6)^n x^{2n+1}}\right|=6|x^2|\lim_{n\to\infty}1=6|x|^2<1[/tex]
Solving for [tex]x[/tex] gives the interval of convergence,
[tex]|x|^2<\dfrac16\implies|x|<\dfrac1{\sqrt6}\implies -\dfrac1{\sqrt 6}<x<\dfrac1{\sqrt 6}[/tex]
We can confirm that the interval is open by checking for convergence at the endpoints; we'd find that the resulting series diverge.
The interval of the convergence is (-1/√6 < x < 1/√6). We can confirm that the interval is open by checking for convergence at the endpoints.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The given function is
[tex]\rm f(x) = \dfrac{x}{6x^2 + 1} \\\\or \\\\f(x) = \dfrac{x}{1 - (-6x^2)}[/tex]
For |x| < 1, we have
[tex]\rm \dfrac{1}{1-x} = \Sigma_{n=0}^{\infty} \ x^n[/tex]
If x is replaced with -6x², then we have
[tex]\rm f(x)= \Sigma_{n=0}^{\infty} (-6x^2 )^n = \Sigma_{n=0}^{\infty} (-6)^n x^{2n+1}[/tex]
Then by the ratio test, the series converges if
[tex]\displaystyle \lim_{n \to \infty} \left| \dfrac{(-6)^{n+1}x^{2(n+1)+1}}{(-6)^{n}x^{2n+1}} \right|=6|x^{2}| \displaystyle \lim_{n \to \infty }1=6|x^{2}| < 1[/tex]
Solving for x, the interval of convergence will be
[tex]|x^2| < \dfrac{1}{6} \\\\|x| < \dfrac{1}{\sqrt6} \\\\-\dfrac{1}{\sqrt6} < x < \dfrac{1}{\sqrt6}[/tex]
We can confirm that the interval is open by checking for convergence at the endpoints.
More about the function link is given below.
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f(x)= -3x+7 what is f(-20)?
Answer:
67
Step-by-step explanation:
Evaluate 7 - 3 x where x = -20:
7 - 3 x = -3 (-20) + 7
Hint: | Multiply -3 and -20 together.
-3 (-20) = 60:
60 + 7
Hint: | Evaluate 60 + 7.
60 + 7 = 67:
Answer: 67
-3 yz; use y = 3, and 2 - 2
Step-by-step explanation:
-3(3)(2).
-3(6).
=-18.
f(x)=g(x)? What is the solution
Answer:
The solution of the equation f(x) = g(x) is the set of all x for which the graphs of f and g intersect. The solution of the inequality f(x) < g(x) is the set of all x for which the graph of f lies below the graph of g.
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
;)
check my answers please?
Answer:
5
Step-by-step explanation:
Since, Left Hand Limit and Right Hand Limit at x = 2 are approximately equal to 5 at the point of discontinuity (x = 2), the limit of f(x) as x approaches 2 is 5.
Which is the measure of the reference angle for 227 degrees ?
a.35 degrees
B.23 degrees
C.47 degrees
D43 degrees
Answer:
C. 47°
Step-by-step explanation:
The angle between the terminal ray of 227° and the nearest x-axis (the negative x-axis) is ...
227° -180° = 47°
The reference angle is 47°.
_____
In mathematical terms the reference angle is the minimum of the angle modulo 180° and the supplement of that angle.
227° modulo 180° = 47°
180° -47° = 133° . . . . supplement of 47°
min(47°, 133°) = 47° . . . the reference angle
Please help. I’ll mark you as brainliest if correct!
Answer:
-2°F
Step-by-step explanation:
So on Sunday night, the temperature was -10°F.
And by Monday morning, the temperature has increased by 8°F.
In other words, to find the temperature on Monday morning, we just have to add 8 to -10. Therefore:
[tex](-10)+(8)=-2[/tex]
The temperature on Monday morning is -2°F
Answer:
-2 degrees F.
If you have -10, you have to add positive 10 just to get to 0.
for the data values below construct a 95 confidence interval if the sample mean is known to be 12898 and the standard deviation is 7719
Answer:
A 95% confidence interval for the population mean is [3315.13, 22480.87] .
Step-by-step explanation:
We are given that for quality control purposes, we collect a sample of 200 items and find 24 defective items.
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample proportion of defective items = 12,898
s = sample standard deviation = 7,719
n = sample size = 5
[tex]\mu[/tex] = population mean
Here for constructing a 95% confidence interval we have used a One-sample t-test statistics as we don't know about population standard deviation.
So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-2.776 < [tex]t_4[/tex] < 2.776) = 0.95 {As the critical value of t at 4 degrees of
freedom are -2.776 & 2.776 with P = 2.5%}
P(-2.776 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.776) = 0.95
P( [tex]-2.776 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.776 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95
P( [tex]\bar X-2.776 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.776 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95
95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.776 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.776 \times {\frac{s}{\sqrt{n} } }[/tex] ]
= [ [tex]12,898-2.776 \times {\frac{7,719}{\sqrt{5} } }[/tex] , [tex]12,898+2.776 \times {\frac{7,719}{\sqrt{5} } }[/tex] ]
= [3315.13, 22480.87]
Therefore, a 95% confidence interval for the population mean is [3315.13, 22480.87] .
True or false: If you re-word what an author says in your own work, you do not have to provide a citation. * 1 point True False
Answer:
False
Step-by-step explanation:
In an essay, you have to cite every source you use because
a) the teacher needs to KNOW you didn't copy
b) the teacher needs to know if you got your info from a reliable source
c) the teacher needs to see your ability to use info from a source to put into your essay
This may be different for books, but citation is always a rule of thumb for essays in school, so don't forget unless you want points to be taken off of your score.
sarah set up a lemonade stand and sold each glass for $1.25. write an algebraic expression to represent sarah's profit.
Answer:
Y=1.25M
Step-by-step explanation:
Y represents the total amount of money being earn
1.25 is how much 1 lemonade drink cost
M represents the number of lemonade that was sold
The amount of lemonade sold time's How much each lemonade drink cost shall give you the total amount of money earn.
PLEASE HELP! A) 6,135º C B) 6,681º C C) 502º C D) 47º C
Answer:
[tex]\huge \boxed{\mathrm{47\° C}}[/tex]
Step-by-step explanation:
The velocity is given as 358 meters per second.
358 = 20√(273 + t)
Solve for t.
Divide both sides by 20.
17.9 = √(273 + t)
Square both sides.
320.41 = 273 + t
Subtract 273 from both sides.
47.41 = t
Round to nearest degree.
t = 47°C
The sum of two of the angles of a heptagon is 200ᵒ. If the remaining angles are equal, find the value of each of the remaining angles.
Answer: 140°
Step-by-step explanation:
Heptagon is a seven-sided polygon. So heptagon has 7 angles.
As known the sum of the angles in poligon is
N=180°*(n-2)
So N(7)=180°*(7-2)=900°
if the sum of 2 angles are 200° then the sum of residual 5 angles is
900°-200°=700°
The remaining 5 angles are equal so each of them is
∠α=700°:5=140°
Conjecture: How many solutions do x3 - 5x2 + 28 = 0 have? Find the real solution(s) of the equation. Then use polynomial long division to find the other solution(s).
Answer: the real solution: x = - 2
Find the attached file for the remaining solution
Step-by-step explanation:
The equation given is:
x3 - 5x2 + 28 = 0
Let assume that -2 is one of the root of the equation. Substitute -2 for x
(-2)^3 - 5(-2)^2 + 28
-8 - 20 + 28 = 0
Therefore, -2 is one of the root of the equation since the equation tend to zero.
If x = -2, then x+2 is one of the factors of the equation. Therefore, the real solution is x = -2
Please find the attached file for the remaining solution.
Consider the function f(x) = log8 x. (a) What is the domain of f? (Enter your answer using interval notation.)
Answer:
The domain of f is equal to x = log8 x.
Step-by-step explanation:
warehouse A has 200 tons of coal and sells 15 tons every day. warehouse B has 80 tons and buys 25 everyday in how many days does a=b
Hey there! I'm happy to help!
Let's represent the number of days with x.
WAREHOUSE A
200-15x
WAREHOUSE B
80+25x
We want to find how many days it will take for the two warehouses to have the same amount of coal. Let's put these expressions into an equation to show that they are equal and see what x is.
200-15x=80+25x
We subtract 25x from both sides.
200-40x=80
We subtract 200 from both sides.
-40x=-120
We divide both sides by -40
x=3
Therefore, warehouse A and warehouse B will have the same amount of coal after 3 days.
Have a wonderful day! :D
rated Math (Ist quarter)
Which expression uses the distributive property to show equivalent expressions for this situation?
O 54 + 42 = (3)(18) + (6)(7)
54 + 42 = (9)(10) + 6
54 + 42 = 90 + 6
O 54 + 42 = 6(9 + 7)
Answer:
54+42=6(9+7)
Answer:
yes
Step-by-step explanation:
2 = (3)(18) + (6)(7)
54 + 42 = (9)(10) + 6
54 + 42 = 90 + 6
O 54 + 42 = 6(9 + 7)
Carly solved a quadratic equation by completing the square, but her work has errors. Identify the first error in Carly's work.
Answer:
D. She added the wrong value to both sides of the equation to complete the square.
Step-by-step explanation:
Got it right on plato
The first error in Carly's work is instead adding 2² on both the side of an equation, she added 4².
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given equation is x(x+4)=117.
Here, x²+4x=117
Now, b/2 =4/2 =2
So, add 2² to both the sides of an equation, we get
x²+4x+2²=117+2²
⇒ x²+4x+4=117+4
⇒ (x+2)²=121
⇒ x+2=±√121
⇒ x+2=±11
⇒ x=±11-2
⇒ x=11-2=9 and x=-11-2=-13
The solution for the given a quadratic equation is x=9 and x=-13. Therefore, the first error in Carly's work is instead adding 2² on both the side of an equation, she added 4².
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(90) points and brainly! Sameen works at an office. During her lunch break, she rides her bicycle to her favorite sandwich shop and eats lunch at a local park. The graph below shows the distance she is from work over time. Select the statement that is true regarding Sameen's lunch break based on the graph. A Between 0 minutes and 6 minutes, Sameen's distance from work is constant. B Between 6 minutes and 9 minutes, Sameen's distance from work is decreasing. C Between 9 minutes and 27 minutes, Sameen's distance from work is 0 miles. D Between 27 minutes and 30 minutes, Sameen's distance from work is increasing.
Answer:
(B) Between 6 and 9 minutes, Sameen's distance from work is decreasing
Step-by-step explanation:
Looking at the graph, we want to make sure we are looking at the right axis.
The x-axis, the horizontal one, is minutes.
The y-axis, the vertical one, is distance from work.
We can see that while x is between 6 and 9 minutes, the graph slopes downwards. This signifies a decrease in distance from work.
So between 6 and 9 minutes, Sameen's distance from work is decreasing.
Hope this helped!
Answer:
Between 6 and 9 minutes, Sameen's distance from work is decreasing
Step-by-step
"Brad is trying to determine the Cp of a process. The USL is 10, the LSL is 2, and the standard deviation is 1. What is the Cp"
Answer:
1.33
Step-by-step explanation:
Given that:
Upper specification limit ( USL ) = 10
Lower specification limit ( LSL ) = 2
the standard deviation σ = 1
What is the Cp"
The Cp is the process capability ratio which can be expressed by the formula:
[tex]C_P = \dfrac{USL -LSL}{6 \times \sigma}[/tex]
[tex]C_P = \dfrac{10 -2}{6 \times 1}[/tex]
[tex]C_P = \dfrac{8}{6}[/tex]
[tex]C_P = \dfrac{4}{3}[/tex]
[tex]C_P =1.33[/tex]
name the property illustrated by each statement (8x+3)+12=(8x+3)+12
Answer:
Reflexive property
Step-by-step explanation:
The statement says that some number is equal to itself.
That's the reflexive property.
A vendor bought a supply of ice cream bars at three for 20 cents. He ate one and sold the remainder at 10 cents each. If he made $200.00, how many bars did he buy?
201 bars
Step-by-step explanation:Let the number of bars bought be x.
Cost of three bars is 20 cents.
Therefore, 1 bar will cost [tex]\frac{20}{3}[/tex] cents.
He ate one of the bars...
Therefore, remaining bars will be x - 1
... He sold the remainder at 10 cents each i.e
1 bar = 10 cents
(x - 1) bars = 10( x - 1) cents
...He made $200.00 from selling the remaining bars.
10( x - 1) cents = $200.00 ---------------(i)
Convert from dollars to cents
$1 = 10 cents
$200 = 200 x 10 cents = 2000 cents
From equation (i)
10(x - 1)cents = 2000 cents
=> 10( x - 1) = 2000 [divide both sides by 10]
=> x - 1 = 200
=> x = 200 + 1
=> x = 201
Therefore, he bought 201 bars of ice cream.
Which statements are true about x? Select three options
What are the attributes of the boundary line of this inequality? -3x − 2y < 6
Answer:
D. The line is dashed with a y-intercept at (0,-3) and slope of -.
Step-by-step explanation:
If you rearrange the inequality -3x-2y<6 to y=mx+b form you should get y>-3/2x-3
The slope would be mx or -3/2
The Y intercept would be b or -3
I hope this helps :)
The line with an inequality equation -3x - 2y < 6 when plotted on the graph, occupies a region with a dashed boundary line with the attributes, the slope m = -3/2, and the y-intercept c = -3.
What is an inequality equation of a line?An inequality equation for a line is the equation that is true for certain values of its variables. The inequality symbols are ' <, >, ≤, ≥ '.
How do graph an inequality?When inequality is graphed,
The region of values for which the inequality becomes true is shaded.If the inequality has < or > symbols, then the boundary of that region is represented with the dashed line. If the inequality has ≤ or ≥ symbols, then the boundary of that region is represented with the solid line (no breaks).Writing the given inequality in the slope-intercept form of a line:The inequality equation is re-arranged in the slope-intercept form to know the attributes of the line such as the slope of the line and the y-intercept of the line.
The given inequality is -3x - 2y < 6
Step 1: Rewriting the equation into the slope-intercept form:
-3x - 2y < 6
To change the sign, change the inequality symbol also.
⇒ 3x + 2y > 6
⇒ 2y > 6 - 3x
⇒ y > -3/2x - 3
Therefore, the obtained equation is in the slope-intercept form.
So, m = -3/2 and c = -3
Step 2: Graphing the inequality:
To graph the line, we need coordinates.
So, consider x = 0 inorder to get y-coordinate
On substituting,
-3(0) -2y = 6
y = -3
∴ (0, -3) is one of the coordinates of the line
Then, consider y = 0 inorder to get x-coordinate
On substituting,
-3x - 2(0) = 6
x = -2
∴ (-2, 0) is one of the coordinates of the line
These points are plotted in the graph and a line is drawn from these points.
Step 3: Observations from the graph:
Since the inequality is -3x -2y < 6 ( < ), the region above the line is shaded ( the values that satisfies the inequality). The line is represented as a dashed line that indicates the boundary for the inequality region.This means the line is excluded from the solution set of the given inequality.Therefore, the attributes of the boundary line (dashed line) are slope -3/2 and y-intercept -3.
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I need help with this
Answer:
x = 16
Step-by-step explanation:
Step 1: We know DF - DE = EF
9x - 39 - 47 = EF
Step 2: Simplify
9x - 86 = EF
Step 3: Set the equation equal to 3x + 10
9x - 86 = 3x + 10
6x = 96
x = 16
Therefore x is equal to 16
Answer:
58
Step-by-step explanation:
DE + EF = DF
47+ 3x+10 = 9x-39
Combine like terms
57 +3x = 9x-39
Subtract 3x from each side
57+3x-3x = 9x-3x-39
57 = 6x-39
Add 39 to each side
57+39 = 6x-39+39
96 = 6x
Divide by 6
96/6 = 6x/6
16 =x
We want the length of EF
EF = 3x+10
= 3*16 +10
= 48+10
= 58