Answer:
a. around 36.36 hours; around 28.57 hours
b. $134.21; $159.38
Step-by-step explanation:
a. The driving time at 70 miles per hour is 28.57 hours
b The gasoline cost for this trip would be $159.38.
How to calculate the costa. At an average speed of 55 miles per hour:
Time = 2000 miles / 55 miles per hour = 36.36 hours
At an average speed of 70 miles per hour:
Time = 2000 miles / 70 miles per hour = 28.57 hours
b. At an average speed of 55 miles per hour:
The car averages 38 miles per gallon on the highway.
Therefore, the gasoline required for a 2000-mile trip would be: 2000 miles / 38 miles per gallon = 52.63 gallons
The gasoline cost for this trip would be: 52.63 gallons * $2.55 per gallon = $134.13.
At an average speed of 70 miles per hour:
The car averages 32 miles per gallon on the highway.
Therefore, the gasoline required for a 2000-mile trip would be: 2000 miles / 32 miles per gallon = 62.50 gallons.
The gasoline cost for this trip would be: 62.50 gallons * $2.55 per gallon
= $159.38.
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Can someone please help me with this question? Thanks.
Answer:
f(x) = 3 + 5x
Step-by-step explanation:
For this problem, we can see a simple pattern whereas x increases by 1, y is increasing by 5.
This means that f(0) = 3.
And to create the function, we simply use f(0) summed with the increasing 5 multiplied by the input x.
Hence, we will create the function equation:
f(x) = 3 + 5x
Cheers.
PLEASE ANSWER QUICK!Kierran is trying to find the circumference of a circle. He knows that the radius (r) of the circle is 6 feet and that the diameter, d=2r. Which formula should he use?
A) A=3.14(2r)^2
B) C=3.14(2r)
C) A=3.14d^3
D) C=3.14(2D)
Answer:
B.Step-by-step explanation:
The formula for the circumference is of a circle is: C = 2πr. ___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)Graph the function and select the y-intercept
y = 2 • 3^x
a. 1
b. 2
c. 3
d. 4
Answer:
For the graph see attached image.
The y-intercept is 2
Step-by-step explanation:
The requested graph of the function is included in the attached image.
The y-intercept can be seen from the image, but also from finding the y-value when x= 0 (zero):
[tex]y=2\,\,\,3^x\\y=2\,\,\,3^0\\y = 2 \,\,\,(1)\\y = 2[/tex]
Answer:
To graph the function y = 2 • 3^x, we can start by identifying the y-intercept. The y-intercept is the point where the graph intersects the y-axis, which occurs when x = 0.
To find the y-intercept, we substitute x = 0 into the equation y = 2 • 3^x:
y = 2 • 3^0 = 2 • 1 = 2
Therefore, the y-intercept is 2, which corresponds to option (B).
Wich compound inequality is graphed below?
Answer:
the third one: -15 <= 4x-3 < 5
If an objects mass is 10kg what is it’s weight?
Answer:
Weight varies with location depending upon the acceleration due to gravity eg. for a mass m = 10kg on Earth it`s weight is W = mg = 10 x 10 = 100N.
Step-by-step explanation:
A space for storing boxes is 36 inches high. Each box is 6 inches high. A space of 9 inches must be left at the top. what is the maximum number of boxes that can be stacked in this space?
Answer:
Step-by-step explanation: 36-9 equals 27. You can only fit 4 evenly so thats the answer
The maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that the height of the space in which boxes are needed to be stored is 36 inches high. Also, the height of the box is 6 inches.
But a space of 9 inches must be left at the top. Therefore, the space left to keep the boxes is,
Space left to keep the boxes = 36 inches - 9 inches
= 27 inches
Now, the number of boxes that can be put in the leftover space is,
Number of boxes = 27 inches / 6 inches
= 4.5
Since a half box can be placed in the space, therefore, the number of boxes that can be in the space is 4.
Hence, the maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.
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30 Points! will mark brainliest. answer asap Two angles form a linear pair. The measure of one angle is 23 the measure of the other angle. Find the measure of each angle. Smallest angle: Largest angle:
Answer:
157 degrees
Step-by-step explanation:
the two angles should add up to 180 degrees, so 180 - 23 = 157
answer
smallest 72 and the largest 108
Please urgent answer needed with steps
Answer:
43.3
Step-by-step explanation:
Area = Base * Height
Area = 7 * 6.2
Area = 43.3
Given the relation D={(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation D a function? (A)-3 (B)-6 (C) 8 (D) 6
Answer:
(B) -6
Step-by-step explanation:
If D is to be a functions, the value of x cannot repeat any of the other values listed first in the ordered pairs. Values of 6, 8, and -3 must be rejected. The only remaining answer choice is -6.
The compositions f(g(x)) and g(f(x)) of functions fand g are shown on the graphWhich statements describe the compositions? Check all that apply
Answer:
a,c,d,f had the same problem just now
Step-by-step explanation:
Answer:
The answers are A, C, D, E !
Step-by-step explanation:
Look at the figure. Points C, D, E, and G are _______ points.
A. Coplanar
B. Collinear
C. Back
D. Hidden
Answer:
a. Coplanar
Step-by-step explanation:
To be coplanar means to be on the same plane. Since C, D, E, and G are on the same plane, they can be called coplanar. Back and Hidden are not math terms. Collinear means points lay on the same line
Answer: A. Coplanar
Step-by-step explanation:
Use the box-and-whisker plot shown to answer the following question.
What is the interquartile range?
A. 4
B. 6
C. 9
Answer:
15-9=6 So the answer is B. 6
A publisher for a promising new novel figures fixed costs (overhead, advances, promotion, copy editing, typesetting, and so on) at $59 comma 000 , and variable costs (printing, paper, binding, shipping) at $2.30 for each book produced. If the book is sold to distributors for $15 each, how many must be produced and sold for the publisher to break even ? The publisher must produce and sell ? books to break even.
Answer:
He needs to sell approximately 4331 books to break even
Step-by-step explanation:
Let the number of books to be produced be = y
Total cost of production ($)
= 55000+2.3(x)
Price of the book sold($)= 15
Total money from sales= 15(x)
For the publisher to break even, the cost must be equal to the total money from sales.
55000+2.3(x)= 15x
55000= 15x-2.3x
55000= 12.7x
55000/12.7= x
4330.71= x
He needs to sell approximately 4331 books to break even
The difference of four times a number and six is two. Find the number
Step-by-step explanation:
4(x-6)=2
4x-24=2
4x=2+24
4x=28
x=7
Which represents the equation of the line? *
1 point
у
10
NA 0000
1 (2, 2)
-10-8
-4
12 4 6
8
-20
-2.
10
-4
(0, -4)
-6
10
Answer:
2
Step-by-step explanation:
helllllp mee plzz plz tell me the answer asaP
Answer:
D 6 units
Step-by-step explanation:
the answer is d since the height times the side is the area and 6 times 4 is 24
1/2 (b - 10) + 2b = 25
Answer:
the answer is 12
Step-by-step explanation:
Simplify both sides of the equation.
12(b−10)+2b=25
(12)(b)+(12)(−10)+2b=25(Distribute)
12b+−5+2b=25
(12b+2b)+(−5)=25 (Combine Like Terms)
52b+−5=25
52b−5=25
add 5 to both sides.
52b−5+5=25+5
52b=30
multiply both sides by 2/5.
(25)*(52b)=(25)*(30)
b=12
Answer:
b=12
Step-by-step explanation:
1/2 (b - 10) + 2b = 25
Multiply each side by 2 to get rid of the fractions
2*1/2 (b - 10) +2* 2b = 25*2
b-10 +4b = 50
Combine like terms
5b -10 = 50
Add 10 to each side
5b -10+10 = 50+10
5b = 60
Divide by 5
5b/5 = 60/5
b = 12
sketch and label the figures described. Use dashes for hidden parts.
Answer:
this means that the figures given to you , sketch and label the ones described and use dashes for hidden one
Step-by-step explanation:
6. Combine like terms. What is the simplified form of the expression?
6a + 8 + 2a – 6
=
Answer:
8a+2
Step-by-step explanation:
[tex]6a + 8 + 2a – 6\\\\\mathrm{Group\:like\:terms}\\=6a+2a+8-6\\\\\mathrm{Add\:similar\:elements:}\:6a+2a=8a\\=8a+8-6\\\\\mathrm{Add/Subtract\:the\:numbers:}\:8-6=2\\=8a+2[/tex]
Answer:
6a + 8 + 2a – 6
we calculate the unknowns of the same type alone (x with x, a with a, y with y ...) and the digits / numbers alone .
6a+2a=8a
8-6=+2
So 8a+2
A Poker hand consisting of five cards is dealt from a deck of fifty two cards. What is the probability that the Poker hand consists of four spades and one heart?
Answer: 108336
Step-by-step explanation:
given data:
cards on deck = 52
Since 2 queens are supposed to be in the 5 card hand. Therefore, 2 queens are choosen since we have a total of 4.
Since 2 Queens have been chosen already choosen. we are left with 3cards out of the hand of 5. This cards are to be choosen from the 48 remaining cards. Similarly same process would be used for other combination of playing cards.
(42∗483)+(43∗482)+(44∗481).
= (6 * 17296) + (4 * 1128 ) + (1 * 48)
= 103776 + 4512 + 48
=108336
Write an expression in terms of x that represents the distance between (2,10) and (x,10) for x>2.
Answer:
Step-by-step explanation:
[tex]d=\sqrt{(x-2)^2+(10-10)^2} =\sqrt{(x-2)^2}=x-2[/tex]
The required expression is [tex]x^2-4x+4[/tex]
The given coordinates are (2,10) and (x,10)
The formula for finding the distance between two points is,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Now, substituting the given points into the above formula we get,
[tex]\sqrt{(x-2)^2+(10-10)^2}\\=(x-2)^2\\=x^2-4x+4[/tex]
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Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year. About how long will it take for the account to be worth $9,000? (3 points) a 21 years, 1 month b 18 years, 0 months c 19 years, 10 months d 9 years, 11 months
Answer:
d 9 years, 11 months
Step-by-step explanation:
Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year.
P = $5,960.32
Rate = 4.2%
Number of years = x
Final amount=$9000
Number of times compounded= x/2
A= p(1+r/n)^(nt)
9000= 5960.32(1+(0.042*2)/x)^(x/2 *x)
9000= 5960.32(1+0.084/x)^x²/2
2(9000/5960.32)=(1+0.084/x)^x²
3.019972=((x+0.084)/x)^x²
On trial an error
The value of x is found to be approximately 9 year, 11 months
A number divided by eleven.
Answer:
Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11. Since -11 is divisible by 11, so is 2728.
You buy a container of cat litter for $12.25 in a bag of cat food for X dollars the total purchase is $19.08 which includes 6% sales tax right and solve equation to find the cost of the cat food
Answer:
List Price = $ 20.30
Discount Amount = $ 1.22
PLEASE HELP I WANNA Sleep BC it's midnight
Please answer both A and B
For Brainliest
Pick any of the two sides and set them equal to one another. So we'll have three different equations
4(x-1) = x+8
or
x+8 = 2x+4
or
4(x-1) = 2x+4
This works because in any equilateral triangle, the three sides are the same length.
--------------------------
If you're curious about the value of x, then we could do the following steps.
x+8 = 2x+4
2x+4 = x+8
2x-x = 8-4
x = 4
If x = 4, then
4(x-1) = 4(4-1) = 12x+8 = 4+8 = 122x+4 = 2*4+4 = 12Each side is 12 units long
Answer:
5-x=40+29 (x=69)
Step-by-step explanation:
Solve the equation: q – 17 = 23
Answer:
Hey there!
q-17=23
+17=+17
q=40
Let me know if this helps :)
Simply the exponential expression 5^2
Answer:
25
Step-by-step explanation:
If the correlation coefficient has a negative value, then the coefficient of determination:_________.a. can take on either a negative or positive value.b. must be positive.c. will also have a negative value.d. will equal zero.
Answer:
Step-by-step explanation:
The sign of r depends on the sign of the estimated slope coefficient b1:
If b1 is negative, then r takes a negative sign.
If b1 is positive, then r takes a positive sign.
That is, the estimated slope and the correlation coefficient r always share the same sign. Furthermore, because r2 is always a number between 0 and 1, the correlation coefficient r is always a number between -1 and 1.
One advantage of r is that it is unitless, allowing researchers to make sense of correlation coefficients calculated on different data sets with different units. The "unitless-ness" of the measure can be seen from an alternative formula for r, namely:
r=∑ni=1(xi−x¯)(yi−y¯)∑ni=1(xi−x¯)2∑ni=1(yi−y¯)2−−−−−−−−−−−−−−−−−−−−−−−√
If x is the height of an individual measured in inches and y is the weight of the individual measured in pounds, then the units for the numerator is inches × pounds. Similarly, the units for the denominator is inches × pounds. Because they are the same, the units in the numerator and denominator cancel each other out, yielding a "unitless" measure.
Another formula for r that you might see in the regression literature is one that illustrates how the correlation coefficient r is a function of the estimated slope coefficient b1:
r=∑ni=1(xi−x¯)2−−−−−−−−−−−−√∑ni=1(yi−y¯)2−−−−−−−−−−−√×b1
Refer to the following distribution of commissions:______. Monthly Commissions Class Frequencies $600 up to $800 3 $800 up to 1,000 7 $1,000 up to $1,200 11 $1,200 up to $1,400 22 $1,400 up to $1,600 40 $1,600 up to $1,800 24 $1,800 up to $2,000 9 $2,000 up to $2,200 4 For the preceding distribution, what is the midpoint of the class with the greatest frequency?
Answer:
the midpoint of the class with the greatest frequency 1500
Step-by-step explanation:
The illustration of the dataset given can be well represented in a table format as shown below.
Class Frequency Relative Frequency
$600 - $800 3 [tex]\mathbf{ \dfrac{3}{120} = 0.025}[/tex]
$800 - $1000 7 [tex]\mathbf{ \dfrac{7}{120} = 0.059}[/tex]
$1000 - $1200 11 [tex]\mathbf{ \dfrac{11}{120} = 0.092}[/tex]
$1200 - $1400 22 [tex]\mathbf{ \dfrac{22}{120} = 0.183}[/tex]
$1400 - $1600 40 [tex]\mathbf{ \dfrac{40}{120} = 0.333}[/tex]
$1600 - $1800 24 [tex]\mathbf{ \dfrac{24}{120} = 0.2}[/tex]
$1800 - $2000 9 [tex]\mathbf{ \dfrac{9}{120} = 0.075}[/tex]
$2000 - $2200 4 [tex]\mathbf{ \dfrac{4}{120} = 0.033}[/tex]
Total 120 1
Therefore, the midpoint of the class with the greatest frequency is between $1400 - $1600 since the frequency 40 happens to be the greatest frequency
The midpoint =[tex]\dfrac{upper \ limit + \ lower \ limit}{2}[/tex]
The midpoint =[tex]\dfrac{1400+1600}{2}[/tex]
= 1500
Which of these is a factor in this expression- 7z^4-5+10(y^3+2). Choices- A- 7z^4-5, B- 10(y^3+2) C = -5+10(y^3+2) D= (y^3+2)
Answer:
D. ([tex]y^{3}[/tex] + 2)
Step-by-step explanation:
A factor of an expression can either be in the form of an algebraic expression, alphabet or number. In the question, the given expression can be written as;
7[tex]z^{4}[/tex] - 5 + 10[tex]y^{3}[/tex] + 20
Factorizing the expression gives;
7[tex]z^{4}[/tex] - 5 + 10([tex]y^{3}[/tex] + 2)
Therefore, it would be observed that the factor in the expression is;
([tex]y^{3}[/tex] + 2)