Answer:
2 hours
Step-by-step explanation:
Let's denote the amount of time we need to find out, t.
=> 600 + 50t < 500 + 100t
or 600 - 500 < 100t - 50t
or 100 < 50t
or 100/50 < t
or t > 2
=> After 2 hours, company B will be cheaper option than company A
Passage 1: The creature had thick arms and legs, sharp teeth, and dark eyes. Passage 2: The creature’s legs and arms were tree trunks, its open mouth was lined with razors, and it had eyes like a starless night. How does the author’s use of figurative language in the second passage do a better job of conveying meaning than the first passage? You may choose more than one correct answer. It helps the reader understand how terrifying the creature is. It helps the reader visualize the creature. It describes the creature. It hints that the creature is a predator.
Answer:
Step-by-step explanation:
The authors use of figurative language gives the reader a better visualization of how the creature looked.
Answer:
The answer is A,B,D
Step-by-step explanation:
I took the test
A store has been selling a certain TV for $210. If the store raised the price by 5% (of the original
price), what would be the new price?
Answer:
Step-by-step explanation:
Selling price = $210
percentage increase = 5 %
Increased amount = 5% of 210
= 0.05 * 210
= $ 10.5
New selling price = 210 + 10.5 = $ 220.50
How do you solve this?
Answer:
The highest possible value of b would be 750.
Step-by-step explanation:
If you graph the two equations, you'll get two crossing lines, and because y is supposed to be either equal to or less, the answer is going to be at the shaded area at the bottom.
Equate the two equations to solve them with algebra.
-15x+3000=5x
add 15x to both sides
3000=20x
divide by twenty, you get
150=x
Plug that in to both equations, you'll get y=750, which is the highest possible value of b, (aka y cuz it's on the y axis).
what is the recursive formula for this sequence 14,18,22,26,30
Answer:
d
Step-by-step explanation:
a1 is 14
Given that a1 is 14, you can see that each next number in the sequence is larger than the previous one by 4, so an= an-1+4
Here is the histogram of a data distribution. All class widths are 1.
Which of the following numbers is closest to the mean of this distribution?
A.6
B.7
C.3
D.4
E.5
=======================================================
Explanation:
The distribution is perfectly symmetrical about the center 6. Notice how the left side is a mirror copy of the right side, due to the heights being the same. Because of this, the mean, median and mode are all the same value and that is 6. The mode is equal to 6 as this is the most frequent value.
The longer way to do this problem is to add up each value shown. We have four copies of '2', six copies of '3', and so on. The total sum you would get is 372. Divide this over 62 because there are 62 smaller green squares. The final result is the mean of 6.
The number closest to the mean of the given distribution is 6. Therefore, option A is the correct answer.
What is mean?In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
From the given histogram,
Number Frequency
2 4
3 6
4 7
5 9
6 10
7 9
8 7
9 6
10 4
Here, the mean = [2(4)+3(6)+4(7)+5(9)+6(10)+7(9)+8(7)+9(6)+10(4)]/[4+6+7+9+10+9+7+6+4]
= [8+18+28+45+60+63+56+54+40]/62
= 372/62
= 6
Therefore, option A is the correct answer.
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What is the least number of colors you need to correctly color in the sections of the pictures so that no two touching sections are the same color?
Answer:
2
Step-by-step explanation:
Polygons on either side of a common edge need to be colored differently, so 2 colors are needed, as a minimum. Polygons of the same shape do not share an edge, so all can be colored the same color.
Find the missing factor.
70? + 10a + 3 = (7a + 3)
Answer:
(-3/70)a
Step-by-step explanation:
Solving for ?, we have ...
70? +3a = 0 . . . . . subtract (7a +3)
? +(3/70)a = 0 . . . . divide by 70
? = -(3/70)a . . . . . . subtract 3/70a
The missing factor is (-3/70)a.
if (x+2)2 = 49 then x + 2 = 7 true or false
Answer:
False, we need to take the positive and negative square root of 49
Step-by-step explanation:
(x+2)^2 = 49
Take the square root of each side
sqrt((x+2)^2) = ±sqrt(49)
x+2 = ±7
A store owner gathered data for several days about the methods customers used to pay for their purchases. The scatter plot shows the data she gathered and the line of best fit. The equation of the line of best fit is y = 0.755x + 11.339. Based on the line of best fit, approximately how many customers are predicted to use a card to pay on a day when 90 customers pay by cash? A.) 68 B.) 79 C.) 92 D.) 104
Answer:
b.79
Step-by-step explanation:
if you look at the graph it shows its right below 80
The 79 customers are predicted to use a card to pay on a day when 90 customers pay by cash option (B) is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have a line of best fits:
y = 0.755x + 11.339
Plug x = 90
y =0.755(90) + 11.339
y = 67.95 + 11.339
y = 79.28 ≈ 79
Thus, the 79 customers are predicted to use a card to pay on a day when 90 customers pay by cash option (B) is correct.
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Two numbers are in the ratio of 3 to 4. If the minor is 27, find the sum of both.
Answer:
Step-by-step explanation:
First we must find the missing number, for that we apply a simple rule of three:
3. 4
27 ------ x
x = 27 (4) / 3 = 36
Now we just do the sum:
27 + 36 = 63
Answer:
Sum = 63
[tex]\boxed{ x = 36}[/tex]
Step-by-step explanation:
3 : 4
It says that the 1st part (3) is 27
27 : x (We've to find the major)
Creating a proportion:
=> 3 : 4 = 27 : x
Product of Means = Product of Extremes
=> 3 * x = 27 * 4
=> 3x = 108
Dividing both sides by 3
=> x = 36
The sum of both is 27+36 = 63
Complete the sequences below :
• please explain the formula in simple words.
a) 18035, 18070 , 18105, ........... , .............. .
b) 3800, 4100, 4400, ............, ............ .
c) 17200, 18300, 19400, .............. , ............ .
Answer:
a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n
b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n
c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n
Step-by-step explanation:
They are all arithmetic progressions (AP) with a common difference, i.e. all differences of one term from the subsequent term are identical.
The general formula is
T(n) = T(0)+n*D
where
n = the term number
T(n) = nth term (considering the first term to be the zeroth term.
D = common difference
a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n
b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n
c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n
simplify (5 √2 - 1) ^2
HELPP!! please. What is the perimeter of the polygon? Round the answer to the nearest cm.
Answer:
26
Step-by-step explanation:
Because You have to just do the perimeter by counting the sides
precalc! how do you solve by completing the square? i have 2 examples! (17 & 18 please) tysm <3
Answer:
17) x = 11, -8
18) exact form: x = + 2 sqaure root 6/ 3 + 2
I hope this helps :)
Multiply. √3 ⋅ √5 ⋅ √7 Enter your answer, in radical form, in the box.
Answer: square 105
Step-by-step explanation: Confirming answer
A radical expression is an expression containing a square root, mostly a square root.
The value of √3.√5.√7 in radical form is √105.
What is a radical expression?A radical expression is an expression containing a square root, mostly a square root.
We have,
√3.√5.√7
We can multiply the numbers together.
= √(3 x 5 x 7 )
= √(15 x 7)
= √105
Thus the value of √3.√5.√7 in radical form is √105.
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Please help! I got 14 but it says it's incorrect! Find the maximum number of real zeros of the polynomial. f(x)=2x^(6)-3x^(3)+1-2x^(5)
Answer:
6
Step-by-step explanation:
The Fundamental theorem of Algebra states that a polynomial of degree n has n roots. These can be real, complex or both.
f(x) = 2[tex]x^{6}[/tex] - 3x³ + 1 - 2[tex]x^{5}[/tex] ← is a polynomial of degree 6
Thus the maximum number of real roots is 6
Scores on the test are normally distributed with a mean of 79 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary calculator
This is not the question, the correct question is:
A humanities professor assigns letter grades on a test according to the following scheme. A: Top 6% of scores B: Scores below the top 6% and above the bottom 59% C: Scores below the top 41% and above the bottom 17% D: Scores below the top 83% and above the bottom 7% F: Bottom 7% of scores.
Scores on the test are normally distributed with a mean of 79 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.
Answer: The numerical limits for grade B is 81 and 92
Step-by-step explanation:
Given that
mean Ж = 79
Standard deviation S = 8.4
B: Scores below the top 6% and above the bottom 59%
To find the numerical value for Grade B
Below the top bottom 6% ( 0.06) is
p ( X < Ж ) = 1 - 0.06
p ( X < Ж ) = 0.94
therefore
P( (X - ц)/S < (X - Ж) / S)) = 0.94
(X - 79) / 8.4 = 1.5548 ( from normal distribution table )
X - 79 = 13.0603
X = 13.0603 + 79
X = 92.06 ≈ 92 ( nearest whole number)
Above bottom 59% ( 0.59) is
p ( X < Ж ) = 0.59
therefore
P( (X - ц)/S < (X - Ж) / S)) = 0.59
(X - 79) / 8.4 = 0.2275 ( from normal distribution table )
X - 79 = 1.9114
X = 1.9114 + 79
X = 80.91 ≈ 81 ( nearest whole number)
So the numerical limits for grade B is 81 and 92
can someone help me please
Answer:
Compare algebraic relationships in a situation.
a two-digit number becomes 5/6 of the reversed number obtained when the digits are interchanged. The difference between the digits is 1. find the number
plz plz help me i wnt answer with full process pls help me plz plz pls.
==============================================
Work Shown:
T = tens digit
U = units digit (aka ones digit)
A number like 27 is really 20+7 = 2*10 + 7*1 = 10*2 + 1*7. We have 2 in the tens digit and 7 in the units digit. So 27 can be written in the form 10T + U where T = 2 and U = 7. Reversing the digits gives 72, so T = 7 and U = 2 now. Clearly the difference between the digits 7 and 2 is not 1, so 27 or 72 is not the answer (as it's just an example).
-----------------------
Let T be larger than U. This doesn't work if T = U.
Because T is larger, saying "The difference between the digits is 1" means T - U = 1. We can isolate T to get T = U+1. We'll use this later.
-----------------------
If T > U, then the original number 10T+U reverses to the new number 10U+T and it becomes smaller. We are told that it becomes 5/6 of what it used to be.
So,
new number = (5/6)*(old number)
10U + T = (5/6)(10T + U)
6(10U + T) = 5(10T + U)
60U + 6T = 50T + 5U
60U + 6(U+1) = 50(U+1) + 5U ... plug in T = U+1
60U + 6U + 6 = 50U + 50 + 5U
66U + 6 = 55U + 50
66U - 55U = 50-6
11U = 44
U = 44/11
U = 4 is the units digit of the original number
T = U+1
T = 4+1
T = 5 is the tens digit of the original number
The original number is therefore 10T + U = 10*5+4 = 54.
We see the difference in their digits is T-U = 5-4 = 1
The reverse of 54 is 45. The number 45 is 5/6 of 54
45 = (5/6)*54
I need a clear explanation please bc i don't get how I'm supposed to do this. :,)
The half-life [tex]t_{1/2}[/tex] is the amount of time it takes for some quantity [tex]N_0[/tex] of carbon-14 to decay to half the original amount, or [tex]N=\frac{N_0}2[/tex].
In terms of the formula, it's the time such that
[tex]\dfrac{N_0}2=N_0e^{-kt_{1/2}}[/tex]
and we can divide both sides by the original amount to get
[tex]\dfrac12=e^{-kt_{1/2}}[/tex]
We want to find the time [tex]t[/tex] it takes for 57%, or 0.57, of the original amount to remain. This means we solve for [tex]t[/tex] in
[tex]0.57N_0=N_0e^{-kt}[/tex]
or
[tex]0.57=e^{-kt}[/tex]
We're given [tex]k=0.0001[/tex]; plug this in and solve for [tex]t[/tex]:
[tex]0.57=e^{-kt}\implies\ln0.57=-kt\implies t=-\dfrac{\ln0.57}k\approx\boxed{5621\,\mathrm{years}}[/tex]
Solve the system of equations -8y+9x = -5; 8y+7x = -75
Answer:
x = -5
y = -5
Step-by-step explanation:
-8y+9x = -5; 8y+7x = -75
Add the two equations together to eliminate y
-8y+9x = -5
8y+7x = -75
----------------------
0y + 16x = -80
Divide each side by 16
16x/16 = -80/16
x = -5
Now find y
8y+7x = -75
8y+7(-5) = -75
8y-35 = -75
Add 35 to each side
8y = -40
Divide by 8
8y/8 = -40/8
y = -5
Answer:
[tex]\boxed{x=-5}\\ \boxed{y=-5}[/tex]
Step-by-step explanation:
-8y + 9x = -5
8y + 7x = -75
Add the equations (eliminating the y-variable).
16x = -80
Divide both sides by 16.
[tex]\frac{16x}{16}[/tex] = [tex]\frac{-80}{16}[/tex]
x = -5
Plug x as -5 in the first equation to find y.
-8y + 9(-5) = -5
-8y +-45 = -5
Add 40 to both sides.
-8y = 40
Divide both sides by -8.
[tex]\frac{-8y}{-8}[/tex] = [tex]\frac{40}{-8}[/tex]
y = -5
Workers in an office of 40 staff were asked their favourite type of take-away. Pizza 9 Curry 6 Fish & chips 11 Kebab 10 Other 4 How many degrees represent 1 person?
Answer:
Hey there!
In total, there are 360 degrees. If there are 40 staff members, then each member has 360/40=9 degrees.
Hope this helps :)
Answer:
9 degrees
Step-by-step explanation:
There are 360 degrees in a circle
There are 40 people
360 / 40 = 9
Each person gets 9 degrees
The angle measurements in the diagram are represented by the following expressions.
Answer:
143°Step-by-step explanation:
<A and <B are corresponding angles
< A = < B
plugging the values
[tex]7x + 24 = 3x + 92[/tex]
Move variable to L.H.S and change its sign
[tex]7x - 3x + 24 = 92[/tex]
Move constant to R.H.S and change its sign
[tex]7x - 3x = 92 - 24[/tex]
Calculate
[tex]4x = 68[/tex]
Divide both sides of the equation by 4
[tex] \frac{4x}{4} = \frac{68}{4} [/tex]
Calculate
[tex]x = 17[/tex]
Replacing value
<A = [tex]7x + 24[/tex]
[tex] = 7 \times 17 + 24[/tex]
[tex] = 119 + 24[/tex]
[tex] = 143[/tex]
hope this helps...
What is the volume of the pyramid in cubic inches?
9in.
6 in.
8 in.
Answer: C) 144
Step-by-step explanation:
The area of a pyramid can be found via lwh/3
(9*8*6)/3 = area
72*6/3 = area
432/3 = area
144 = area
Hope it helps <3
Let [tex]m=x^{2}+3[/tex]
Which equation is equivalent to [tex](x^{2}+3)^{2} +7x^{2} +21=-10[/tex]
A.) [tex]m^{2}-7m+10=0[/tex]
B.) [tex]m^{2}-7m+31=0[/tex]
C.) [tex]m^{2}+7m+10=0[/tex]
D.) [tex]m^{2}+7m+31=0[/tex]
Answer:
[tex]{m}^{2} +7m + 28 = 0[/tex]
Step-by-step explanation:
Given that,
[tex]m = {x}^{2} + 3[/tex]
We know that,
[tex] {x}^{2} = m- 3[/tex]
Now look at the sum
[tex]( {x}^{2} + 3) ^{2} + 7 {x}^{2} + 21 = - 10 \\ [/tex]
[tex]( {x}^{2} + 3) ^{2} + 7 {x}^{2} + 21 = - 10 \\ {m}^{2} + 7 \times m- 3 + 21 = - 10 \\ {m}^{2} +7m + 18= - 10 \\ {m}^{2} + 7m + 18+ 10 = 0 \\ {m}^{2} + 7m + 28 = 0[/tex]
Please help, I think its D but I know that things are usually the opposite of what you think when doing these types of problems.
Answer:
A. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.
Step-by-step explanation:
The only thing that has changed is that x^2 is multiplied by 5.
If the x^2 is multiplied by a constant that has an absolute value less than 1, the parabola will undergo a vertical compression.
If the x^2 is multiplied by a constant that has an absolute value more than 1, the parabola will undergo a vertical stretch.
Since the absolute value of 5 is more than 1, A. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.
Hope this helps!
Which number is the odd one out?
Answer:
8677
Notice that all the numbers in the sequence are divisible by 3 except 8677.
The sum of the digits must be divisible by 3.
8+6+7+7= 2+8 =10
10 isn't divisible by 3.
The average of three numbers is 25. two of the numbers are 45 and 16. What is third one.
Answer:
14
Step-by-step explanation:
I attached a picture and I hope this helps ;) ❤❤❤
Answer:
The third number is 14
Step-by-step explanation:
To find the average of 3 numbers add the three numbers and divide by 3
Let x be the third number
( 45+16+x) /3 = 25
Multiply each side by 3
( 45+16+x) /3 *3 = 25*3
( 45+16+x) = 75
Combine like terms
61+x = 75
Subtract 61 from each side
61+x-61 = 75-61
x = 14
What is the least number of colors you need to correct color in the sections of these pictures so that no two touching sections are the same color?
You would assume that in this figure, the number of colored sections with which are not colored with respect to a " touching " colored section, would be half of the total colored sections. However that is not the case, the sections are not alternating as they still meet at a common point. After all, it notes no two touching sections, not adjacent sections. Their is no equation to calculate this requirement with respect to the total number of sections.
Let's say that we take one triangle as the starting. This triangle will be the start of a chain of other triangles that have no two touching sections, specifically 7 triangles. If a square were to be this starting shape, there are 5 shapes that have no touching sections, 3 being a square, the other two triangles. This is presumably a lower value as a square occupies two times as much space, but it also depends on the positioning. Therefore, the least number of colored sections you can color in the sections meeting the given requirement, is 5 sections for this first figure.
Respectively the solution for this second figure is 5 sections as well.
I WILL MARK BRAINLIEST!!!!!! A direct variation function includes the ordered pair (4, 5). If y varies directly with x, and y is 14 when x is 2, what is the value of x when y is 35?
Answer: x=5
Step-by-step explanation:
[tex]\frac{2}{14} =\frac{x}{35}[/tex]
[tex]\frac{x}{35}=\frac{2}{14}[/tex]
simplify
[tex]\frac{x}{35}=\frac{1}{7}[/tex]
multiply 35 on both sides
[tex]\frac{35x}{35}=\frac{1\cdot \:35}{7}[/tex]
[tex]\frac{1}{7} \cdot 35=5[/tex]
x=5