Answer:
8 hours
Step-by-step explanation:
simple, divide 536 miles by 804 miles and multiply the fraction with 12 hours
fraction = 0.6666666 or 536/804 OR two thirds or 2/3
multiply 2/3 by 12 hours
it would take approximately 8 hours to arrive at 536 miles
I need help pleaseee
Answer:
H
Step-by-step explanation:
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
Graph: y - 3 = 1/2 (x + 2)
Answer:
Slope: \(\frac{1}{2}\)
Y-intercept: (0,4)
Step-by-step explanation:
Put the equation into y = mx + b form, which is y = \(\frac{1}{2}\) +4. Then create a table.
X: -2, -1, 0, 1, 2
Y: 3, \(\frac{7}{2}\), 4, \(\frac{9}{2}\), 5
Denise has $10 and wants to buy pens that cost
$0.80 each. How many pens can Denise buy and
have at least $6 left?
Answer:
5 pens
Step-by-step explanation:
$10 - 6$ = $4
$4/$0.80
she can afford 5 pens
Elena mixes 5 cups of apple juice with with 2 cups of ginger ale to make punch for a party she wants to make 35 cups of punch how much apple juice does she need to buy?
Answer:
25 cups of apple juice and 10 cups of sparking water.
Step-by-step explanation:
PLEASE HELP!
I need help solving these problems.
1. When we simplify sec² x + tan² xsec² x, the result obtained is sec⁴x
2. When we simplify (sec² x - 1) / sin² x, the result obtained is sec² x
3. When we simplify (1/sec² x) + (1/csc² x), the result obtained is 1
4. When we simplify (sec x / sin x) - (sin x / cos x), the result obtained is cot x
5. When we simplify (1 + sin x)(1 - sin x), the result obtained is cos² x
6. When we simplify cos x + sin xtan x, the result obtained is sec x
How do i simplify the trig identities?We can simplify the trig identities as follow:
1. Simplification of sec² x + tan² xsec² x
sec² x + tan² xsec² x = sec² x(1 + tan² x)
Recall
sec² x = 1 + tan² x
Thus,
sec² x(1 + tan² x) = sec² x × sec² x
sec² x(1 + tan² x) = sec⁴x
Therefore, the simplified is written as
sec² x + tan² xsec² x = sec⁴x
2. Simplification of (sec² x - 1) / sin² x
(sec² x - 1) / sin² x
Recall,
sec² x - 1 = tan² x
Thus,
(sec² x - 1) / sin² x = tan² x / sin² x
Recall
tan² x = sin² x / cos² x
Thus,
tan² x / sin² x = (sin² x / cos² x) / sin² x
tan² x / sin² x = 1/ cos² x
Recall
1/ cos² x = sec² x
Therefore, the simplified expression is written as:
(sec² x - 1) / sin² x = sec² x
3. Simplification of (1/sec² x) + (1/csc² x)
(1/sec² x) + (1/csc² x)
Recall
sec² x = 1/cos² x
Thus,
cos² x = 1/sec² x
Also,
csc² x = 1/sin² x
Thus,
sin² x = 1/csc² x
Therefore, we have
(1/sec² x) + (1/csc² x) = cos² x + sin² x
Recall
cos² x + sin² x = 1
Thus, the simplified expression of (1/sec² x) + (1/csc² x) is:
(1/sec² x) + (1/csc² x) = 1
4. Simplification of (sec x / sin x) - (sin x / cos x)
(sec x / sin x) - (sin x / cos x) = (sec xcos x - sinx sinx) / sinx cos x
Recall
sec x = 1/cos x
sinx sinx = sin² x
Thus,
(sec x / sin x) - (sin x / cos x) = [(cos x/cos x) - sin² x] / sinx cos x
(sec x / sin x) - (sin x / cos x) = [1 - sin² x] / sinx cos x
Recall
1 - sin² x = cos² x
Thus, we have
[1 - sin² x] / sinx cos x = [cos² x] / sinx cos x
[1 - sin² x] / sinx cos x = cos x / sin x
Recall
cos x / sin x = cot x
Thus, the simplified expression of (sec x / sin x) - (sin x / cos x) is:
(sec x / sin x) - (sin x / cos x) = cot x
5. Simplification of (1 + sin x)(1 - sin x)
(1 + sin x)(1 - sin x)
Clear bracket
1 - sin x + sin x - sin² x
1 - sin² x
Recall
1 - sin² x = cos² x
Thus, we have
(1 + sin x)(1 - sin x) = cos² x
6. Simplification of cos x + sin xtan x
cos x + sin xtan x
Recall
tan x = sin x / cos x
cos x + sin xtan x = cos x + sin x (sin x / cos x)
cos x + sin xtan x = cos x + (sin² x / cos x)
cos x + sin xtan x = (cos² x + sin² x) / cos x
Recall
cos² x + sin² x = 1
cos x + sin xtan x = 1 / cos x
1/cos x = sec x
Thus,
cos x + sin xtan x = sec x
The simplified expression of cos x + sin xtan x is sec x
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There are two taxi companies in town. Local Cab charges a $3 initial charge and then
$4.25 per mile. Airport Taxi charges only $0.25 per mile, but there is a base fee of
$35
Write an equation, solve, and check to figure out how many miles, m, you
would have to travel in order for the cost to be the same using either company?
Answer:
your answer for that problem is 45.6
3 bananas cost $0.99
At this rate , how much do 5 bananas cost ?
Answer:
$1.65
Step-by-step explanation:
PLSSS HELP WITH THIS ONE !!! MARKING AGAIN THE BRAINLIST ANSWER!!!
Answer:
Step-by-step explanation:
He earned $15.20. Just multiply the 2.00x4 and the 2.40x3
For a géometric sequence, if a1=9 and a5
=2304, what is the value of r?
The value of common ration r is 4.
Given that,
a₁ = 9
a₅ = 2304
We know that,
A geometric sequence is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.
The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.
Since we know that nth term of GP is,
\(a_{n}\) = a₁ \(r^{n-1}\)
Therefore,
a₅ = a₁ \(r^{4}\) = 2304
⇒ 9 x \(r^{4}\) = 2304
⇒ \(r^{4}\) = 256
⇒ r = 4
Hence, r = 4
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"A waiter believes the distribution of his tips has a model that is slightly skewed to the left​, with a mean of ​$10.60 and a standard deviation of ​$6.60. He usually waits on about 50 parties over a weekend of work. ​a) Estimate the probability that he will earn at least ​$600. ​b) How much does he earn on the best 1​% of such​ weekends?"
Answer:
(a) 0.0668
(b) $638.74
Step-by-step explanation:
Let X denote the tips earned by a waiter.
It is provided that X follows a left-skewed distribution with mean, μ = $10.60 and standard deviation, σ = $6.60.
It is also provided that, the waiter usually waits on about n = 50 parties over a weekend of work.
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.
Then, the mean of the distribution of the sum of values of X is given by,
\(\mu_{S}=n\mu\\\)
And the standard deviation of the distribution of the sum of values of X is given by,
\(\sigma_{S}=\sqrt{n}\sigma\)
As the sample size is large, i.e. n = 50 > 30, the Central Limit Theorem can be used to approximate the sampling distribution of total tips by the normal distribution.
The mean and standard deviation are:
\(\mu_{S}=50\times 10.60=530\\\\\sigma_{S}=\sqrt{50}\times 6.60=46.67\)
(a)
Compute the probability that he will earn at least $600 as follows:
\(P(S\geq 600)=P(\frac{S-\mu_{S}}{\sigma_{S}}\geq \frac{600-530}{46.67})\\\\=P(Z>1.50)\\\\=1-P(Z<1.50)\\\\=1-0.93319\\\\=0.06681\\\\\approx 0.0668\)
Thus, the probability that he will earn at least $600 is 0.0668.
(b)
Let x represents his earnings on the best 1% of such weekends.
That is, P (X < x) = 0.99.
⇒ P (Z < z) = 0.99
The corresponding z-score is, 2.33.
Compute the value of x as follows:
\(z=\frac{S-\mu_{S}}{\sigma_{S}}\\\\2.33=\frac{x-530}{46.67}\\\\x=530+(2.33\times 46.67)\\\\x=638.7411\\\\x\approx 638.74\)
Thus, on the best 1% of such weekends the waiter earned $638.74.
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
85 points -
Answer:
y ≥ -1/2x + 2y > 2x - 3Step-by-step explanation:
Find equations of each line using two points on each and then determine the inequalities.
Line 1Points
(0, 2) and (2, 1)The slope is:
m = (1 - 2)/2 = -1/2The y -intercept is 2.
The line is:
y = -1/2x + 2The shaded region is to the right and the line is solid, so the inequality is:
y ≥ -1/2x + 2Line 2Points:
(0, -3) and (2, 1)The slope is:
m = (1 - (-3))/2 = 2The y- intercept is -3The line is:
y = 2x - 3The shaded region is to the left and the line is not solid, so the inequality is:
y > 2x - 3A triangle in the coordinate plane has the following vertices: P(-4,-3), 1(-2,-2), G(-2,-4). What are the new coordinates if the triangle is translated 3 units right and 4 units up?
Answer:
P’(-1, 1), I’ (1, 2), G’(1,0)
Step-by-step explanation:
Explain why solving a system of equations using graphing is not a useful solution technique?
Answer:
solving a system of equations using graphing is not a useful solution technique because you are plotting on a 2D surface. For example, if you graph the system below, you get the following graph. ... While you can approximate the solution to this system, you cannot say exactly where the intersection point is since it does not fall on integer values on the number lines.
jdjdnsjhdjdudjdjdjdjdjdjd
Answer:
Hello
Step-by-step explanation:
2+2=22 facts lol
What is the product of the polynomials below? (4x^2-2x-4)(2x+4)
Answer: 8x³ + 12x² - 16x - 16
Step-by-step explanation:
(4x² - 2x - 4)(2x + 4)
= (2x + 4)(4x² - 2x - 4)
= 2x(4x² - 2x - 4) + 4(4x² - 2x - 4)
= 8x³ - 4x² - 8x + 16x² - 8x - 16
= 8x³ + (-4x² + 16x²) + (-8x - 8x) - 16
= 8x³ + 12x² - 16x - 16
a playground is 58 M wide and 91 what is the perimeter
Step-by-step explanation:
To get the perimeter, add up all of the sides.
So, the playground is a rectangle.
It has two sides measuring 58m, and two measuring 91m.
58+58+91+91=298
For the area, length x width
58x90=5278
50 POINTS, PLEASE HELP
do the problem
Answer:
Surface Area: 184cm^2
Volume: 120cm^2
Step-by-step explanation:
This question is designed to be answered without a calculator.
Use this graph of function f.
For how many values of x is f not differentiable over the interval (–4, 4)?
Answer:
4
Step-by-step explanation:
In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.
The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.
here,
The function from observation seems to be a discontinuous function,
And the function is not differentiable at x = -1, 0, 1, and 3.
So there are 4 points in the interval (-4, 4) where the function is not differentiable.
Thus, In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.
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heccin hurry
The model below represents 4 x + (negative 4) = negative 2 x + 8. 4 long green tiles and 4 square red tiles = 2 long red tiles and 8 square green tiles. What is the value of x when solving the equation 4 x + (negative 4) = negative 2 x + 8 using the algebra tiles? x = negative 4 x = negative 2 x = 2 x = 4
Answer:
x = 2Step-by-step explanation:
Given the equation model 4x+(-4) = -2x+8
To find the value of x, the following steps must be followed
\(4x+(-4) = -2x+8\\4x-4 = -2x+8\\subtracting\ 8\ from\ both\ sides\\4x-4-8=-2x+8-8\\4x-12=-2x\\4x+2x=12\\6x=12\\x=\frac{12}{6}\\ x = 2\)
The value of x is 2
Question:
The model below represents 4x + (-4) = -2x + 8.
4 long green tiles and 4 square red tiles = 2 long red tiles and 8 square green tiles.
What is the value of x when solving the equation 4x + (-4) = -2x + 8 using the algebra tiles?
x = -4
x = -2
x = 2
x = 4
Answer:
x = 2
Step-by-step explanation:
Given
4x + (-4) = -2x + 8 which represents a model of coloured tiles of various lengths (shapes)
Required
Find x
To find x, we'll solve the expression 4x + (-4) = -2x + 8 using the knowledge of algebra.
4x + (-4) = -2x + 8
Open bracket
4x - 4 = -2x + 8
Collect like terms
4x + 2x = 4 + 8
Perform addition arithmetic operation on both sides of the equation
6x = 12
Multiply both sides by ⅙
⅙ * 6x = ⅙ * 12
x = 2
Hence, the value of x that satisfies the expression 4x + (-4) = -2x + 8 is 2
A
-pound bag of Kitty Kibbles is
. An
-pound bag of Feline Flavor is
. Which statement about the unit prices is true?
Feline Flavor has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Kitty Kibbles has a higher unit price of
/pound.
Feline Flavor has a higher unit price of
/pound.
The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.
The correct answer choice is option D.
How to solve unit prices?Cost of 16-pound bag of Kitty Kibbles = $20.80
Unit price of kitty kibbles = Price / number of pounds
= $20.80 / 16
= $1.30 per pound.
Cost of 8-pound bag of Feline flavor = $11.20
Unit price of feline flavor = Price / number of pounds
= $11.20 / 8
= $1.40 per pound
Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.
Complete question:
A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?
A. Feline Flavor has a lower unit price of $1.40/pound.
B. Feline Flavor has a lower unit price of $1.30/pound.
C. Kitty Kibbles has a lower unit price of $1.40/pound.
D. Kitty Kibbles has a lower unit price of $1.30/pound.
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Use the diagram below to answer the questions about the Law of Cosines.
Based on the Law of Cosines; it was proven that:
cos Θ = x/acos (180 - C) = x/aa² + b² + 2bx = c²Please note that the given equation on number 3 is wrong. The correct equation should be: a² + b² + 2bx = c². The explanation why the given equation is incorrect will be explained later.
Based on the unshaded triangle, we can find that:
cos Θ = x/a
Next, we will prove that: cos (180 - C) = x/a
Remember that:
cos (A + B) = cos A cos B - sin A sin B
Law of Cosines: c² = a² + b² - 2ab. cos C
cos C = - [c² - (a² + b²)] /2ab ... (i)
Then:
cos Θ = cos (180 - C)
cos (180 - C) = cos 180 . cos C - sin 180 . sin C
We subtitute equation (i):
cos (180 - C) = (-1) (- [c² - ((a² + b²)] / 2ab) - 0 sin C
cos (180 - C) = [c² - (a² + b²)]/ 2ab ... (ii)
If we focus on the unshaded triangle, we can find an equation of a, where:
a² = h² + x² ... (iii)
And if we combine both triangle into a giant triangle, we can make another equation of c. where:
c² = (x + b)² + h² ... (iv)
We will subtitute equation (iv) into equation (ii):
cos (180 - C) = [c² - (a² + b²)]/ 2ab
cos (180 - C) = [(x + b)² + h² - (a² + b²)] / 2ab
cos (180 - C) = [x² + b² + 2bx + h² - a² - b²] / 2ab
cos (180 - C) = [x² + 2bx + h² - a²] / 2ab ... (v)
We subtitute equation (iii) into equation (v):
cos (180 - C) = [x² + 2bx + h² - a²] / 2ab
cos (180 - C) = [a² + 2bx - a²] / 2ab
cos (180 - C) = 2bx / 2ab
cos (180 - C) = x/a --> PROVEN!
Next, we will try to show why the given equation of a² + b² - 2bx = c² is incorrect.
We know that:
a² + b² - 2ab cos C = c²
c² = (x + b)² + h²
We will try to find the value of cos C:
a² + b² - 2ab cos C = (x + b)² + h²
a² + b² - 2ab cos C = x² + b² + 2bx + h²
a² - 2ab cos C = a² + 2bx
- 2 ab cos C = 2bx
cos C = - x/a
We will subtitute the value of cos C under the Law of Cosines:
c² = a² + b² - 2ab cos C
c² = a² + b² - 2ab (- x/a)
c² = a² + b² + 2bx --> PROVEN!
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(09.01 LC)
What is the relationship between the circumference C of the circle in which the degree measure A of a central angle of a circle intercepts an arc
length s of the arc?
A)C=360°(s)(A)
B)C=360 degrees s over A
C)C=360 degrees(s+A)
D)C = 360°A over s
The relationship between the circumference C of the circle in which the degree measure A of a central angle of a circle intercepts an arc length s of the arc is
B) C=360 degrees s over A
How to find the relationshipThe relationship between the circumference C of a circle and the degree measure A of a central angle that intercepts an arc length s of the arc can be described by the formula:
s = A / 360 * C
Make C the subject of the formula
s = AC / 360
360s = AC
rearranging
AC = 360s
C = 360 degrees s / A
C = (s / A) * 360°
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Answer:
\(\textsf{B)} \quad C=\dfrac{360^{\circ}\:s}{A}\)
Step-by-step explanation:
In a circle, the ratio of an arc length (s) to the circumference (C) is equal to the ratio of the measure of the arc's central angle (A) to 360°.
This is because:
The circumference (C) represents the distance around the entire circle, and so an arc (s) is a fraction of the whole circumference. In a circle, there are 360° in total, and so a central angle (A) is a fraction of 360°.Therefore, this can be expressed as:
\(\dfrac{s}{C}=\dfrac{A}{360^{\circ}}\)
Cross multiply:
\(360^{\circ} \cdot s=C \cdot A\)
Now, divide both sides by A to isolate C:
\(\dfrac{360^{\circ} \cdot s}{A}=C\)
Therefore, the relationship between the circumference (C) of the circle in which the degree measure (A) of a central angle of a circle intercepts an arc length (s) of the arc is:
\(\large\boxed{\boxed{C=\dfrac{360^{\circ}\:s}{A}}}\)
What’s the percentage as a decimal
Answer:
0.0006
Step-by-step explanation:
What is the meaning of "\(F=\left \{ (x,y):\varphi (x,y,p) \right \}\)"?
The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.
The expression "F = {(x, y) : φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function φ, which takes the variables x, y, and p as inputs.
To fully understand the meaning of F, we need to delve into the function φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.
For instance, let's consider a specific example where vraphi(x, y, p) is defined φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.
It is important to note that the specific meaning and implications of F heavily rely on the nature of the function φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.
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Can someone help me with this?
Answer:
A and E
When doing problems like these it is easier just to see what numbers are divisbale by the ration.
Example:
A: 21/30
21 is divisable by 7 and 30 is divisbale by 10
E: 35/50
35 is divisable by 7 and 50 is divisbale by 10
Terrel has 8 nickels. Heather has twice as many nickels as Terrel. Heather spends 4 nickels to buy a pencil. Each nickel is worth 5 cents. Which expression shows how many cents Heather has left?
Answer:
12*5=x
Step-by-step explanation:
Statistics question
Considering the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.
How did we arrive at this assertion?The null and alternative hypotheses are as follows:
H o: p ≤ 0.23 (proportion of men who own cats is less than or equal to 23%)
H a: p > 0.23 (proportion of men who own cats is larger than 23%)
The test is right-tailed because the alternative hypothesis states that the proportion is larger than 23%.
Based on a sample of 40 people, with 15% of them owning cats, we can calculate the p-value.
To find the p-value, we need to use the binomial distribution and calculate the probability of observing a result as extreme or more extreme than the one obtained under the null hypothesis.
Let's calculate the p-value:
p = 0.15 (proportion of men in the sample who own cats)
n = 40 (sample size)
p-value = P(X ≥ 0.15 x 40) = P(X ≥ 6)
Using a binomial calculator or software, we can find that P(X ≥ 6) is approximately 0.162.
Since the p-value (0.162) is greater than the significance level of 0.10, we fail to reject the null hypothesis.
Therefore, based on the given information, we fail to reject the null hypothesis that the proportion of men who own cats is less than or equal to 23% at the 0.10 significance level.
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3 (x + 7) = -12
x + 7 = ?
x = ?
Find out ? fast
Answer:
×=-11
Step-by-step explanation:
3x+21=-12
3×=-33
×=-11
Answer:
x=-11
x+7=-4
Step-by-step explanation:
3(x+7)=-12
3x+21=-12
3x=-12-21
3x=-33
x=-33/3
x=-11
-11+7=-4
Help please friendssssssssss
Answer: 6/(6+2x) ; (-infinity, -3) U (-3, infinity)
Step-by-step explanation:
(a) This can be read as f(x) composed of g(x). Plug in the expression given for g(x) for every x value in f(x):
(6/x)/(6/x+2)
I gave the terms in the denominator the same denominator to combine the bottom two terms into one term. 6/x + 2 is equal to 6/x + 2x/x -->
(6 +2x)/x
Do the classic keep, change, flip. \(\frac{6}{x} * \frac{x}{6+2x}\)
This simplifies to: \(\frac{6}{6+2x}\)
(b) Domain is all real numbers except for what makes the denominator equal to 0. 6 + 2x = 0 when x = -3. Therefore it is all real numbers except -3.