Answer:
=5
Step-by-step explanation:
Given that an experimenter is studying the effects of temperture, pressure, and type of catalyst on yield from a certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts are under consideration.
a) Experimental runs possible if use of single temperature, pressure and catalyst is there = no of temperatures x no of pressures x no of catalysts
= b) Here pressure and temperature have no choice as lowest is selected.
no of methods = no of catalysts x 1 x1
= 5
A particle moves on a straight line and has acceleration a(t)=24t+2. Its position at time t=0 is s(0)=3 and its velocity at time t=0 is v(0)=13. What is its position at time t=5?
Answer:
It's position at time t = 5 is 593.
Step-by-step explanation:
The velocity v(t) is the integral of the acceleration a(t)
The position s(t) is the integral of the velocity v(t)
We have that:
The acceleration is:
[tex]a(t) = 24t + 2[/tex]
Velocity:
[tex]v(t) = \int {a(t)} \, dt = \int {24t + 2} \, dt = 12t^{2} + 2t + K[/tex]
K is the initial velocity, that is v(0). Since V(0) = 13, K = 13
Then
[tex]v(t) = 12t^{2} + 2t + 13[/tex]
Position:
[tex]s(t) = \int {s(t)} \, dt = \int {12t^{2} + 2t + 13} \, dt = 4t^{3} + t^{2} + 13t + K[/tex]
Since s(0) = 3
[tex]s(t) = 4t^{3} + t^{2} + 13t + 3[/tex]
What is its position at time t=5?
This is s(5).
[tex]s(t) = 4t^{3} + t^{2} + 13t + 3[/tex]
[tex]s(5) = 4*5^{3} + 5^{2} + 13*5 + 3[/tex]
[tex]s(5) = 593[/tex]
It's position at time t = 5 is 593.
If the angles are represented in degrees, find both angles: \cos(3x+13)=\sin(2x+42) cos(3x+13)=sin(2x+42)
Answer:
cos34°
sin56°
Step-by-step explanation:
Sin(2x+42)= sin90-(3x+13)
Sin(2x+42) = sin(90-13-3x)
Sin(2x+42) = sin(77-3x)
2x + 42 = 77-3x
5x. = 35
X = 7
If x = 7
cos(3x+13) = cos((3*7)+13)
cos(3x+13) = cos(21+13)
cos(3x+13)= cos34
And
sin(2x+42) = sin((2*7)+42)
sin(2x+42)= sin (14+42)
sin(2x+42) = sin56
What is the scale factor of the dilation?
1/8.... 1/4..... 4.... 8...?
Answer:
4
Step-by-step explanation:
When parallelogram FGHJ is dilated and translated to similar parallelogram F'G'H'J', the scale factor of dilation is 4.
What is dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.
As visible,
FG = GH = JH = FJ = 2 units
F'G' = G'H' = J'H' = F'J' = 8 units
Scale factor of Dilation = 8/2 = 4 units
Learn more about dilation here
https://brainly.com/question/13176891
#SPJ2
Is
1x7x6x7x89x7x33x188+4444-82x77x9999= 1073207806
Answer:
Yes
Step-by-step explanation:
Simplify the following:
1×7×6×7×89×7×33×188 + 4444 - 82×77×9999
1×7 = 7:
7×6×7×89×7×33×188 + 4444 - 82×77×9999
7×6 = 42:
42×7×89×7×33×188 + 4444 - 82×77×9999
42×7 = 294:
294×89×7×33×188 + 4444 - 82×77×9999
| | 2 | 9 | 4
× | | | 8 | 9
| 2 | 6 | 4 | 6
2 | 3 | 5 | 2 | 0
2 | 6 | 1 | 6 | 6:
26166×7×33×188 + 4444 - 82×77×9999
26166×7 = 183162:
183162×33×188 + 4444 - 82×77×9999
| 1 | 8 | 3 | 1 | 6 | 2
× | | | | | 3 | 3
| 5 | 4 | 9 | 4 | 8 | 6
5 | 4 | 9 | 4 | 8 | 6 | 0
6 | 0 | 4 | 4 | 3 | 4 | 6:
6044346×188 + 4444 - 82×77×9999
| | | 6 | 0 | 4 | 4 | 3 | 4 | 6
× | | | | | | | 1 | 8 | 8
| | 4 | 8 | 3 | 5 | 4 | 7 | 6 | 8
| 4 | 8 | 3 | 5 | 4 | 7 | 6 | 8 | 0
| 6 | 0 | 4 | 4 | 3 | 4 | 6 | 0 | 0
1 | 1 | 3 | 6 | 3 | 3 | 7 | 0 | 4 | 8:
1136337048 + 4444 - 82×77×9999
| | 8 | 2
× | | 7 | 7
| 5 | 7 | 4
5 | 7 | 4 | 0
6 | 3 | 1 | 4:
1136337048 + 4444 + -6314×9999
| | | | 9 | 9 | 9 | 9
× | | | | 6 | 3 | 1 | 4
| | | 3 | 9 | 9 | 9 | 6
| | | 9 | 9 | 9 | 9 | 0
| 2 | 9 | 9 | 9 | 7 | 0 | 0
5 | 9 | 9 | 9 | 4 | 0 | 0 | 0
6 | 3 | 1 | 3 | 3 | 6 | 8 | 6:
1136337048 + 4444 + -63133686
| | | | | | 1 | | | 1 |
| 1 | 1 | 3 | 6 | 3 | 3 | 7 | 0 | 4 | 8
+ | | | | | | | 4 | 4 | 4 | 4
| 1 | 1 | 3 | 6 | 3 | 4 | 1 | 4 | 9 | 2:
1136341492 - 63133686
| | | | | | | 10 | | |
| | 0 | 13 | | | 3 | 0 | 14 | 8 | 12
| 1 | 1 | 3 | 6 | 3 | 4 | 1 | 4 | 9 | 2
- | | | 6 | 3 | 1 | 3 | 3 | 6 | 8 | 6
| 1 | 0 | 7 | 3 | 2 | 0 | 7 | 8 | 0 | 6:
Answer: 1,073,207,806
Answer:
4.6570394e+12
Step-by-step explanation:
1. 1x7=7
2. 7x6=42
3. 42x7=294
4. 294x89=26166
5. 26166x7=183162
6. 183162x33=6044346
7. 6044346+4444=6048790
8. 6048790-82=6048708
9. 6048708x77=465750516
10. 465750516x9999=4.6570394e+12
Based on the family the graph below belongs to, which equation could represent the graph? image below.
Answer:
y = 1/x+2 + 3
Step-by-step explanation:
x = -2
y = 3
A farmer plants corn in of his field. He plants white corn in of the corn
section of his field. This situation is shown in the model. What fraction of the
whole field is planted with white corn?
Answer:
3/20
Question:
A farmer plants corn in 1/4 of his field. He plants white corn in 3/5 of the corn
section of his field. This situation is shown in the model. What fraction of the whole field is planted with white corn
Step-by-step explanation:
Portion of the field planted with corn = 1/4
Total corn planted = 1/4 of field
Portion of the corn section planted with white corn = 3/5
Total white corn planted = 3/5 of corn section
We need to find the portion of the total field planted with white corn
The fraction of the whole field planted with white corn would be the product of the fraction of Total corn planted and fraction of Total white corn planted
= 1/4 × 3/5
= 3/20
The fraction of the whole field planted with white corn = 3/20
Solve the equation.
6.35 + b = 9.89
Answer:
b=3.54
Step-by-step explanation:
9.89-6.35=3.54
Answer: b=3.54
Step-by-step explanation:
Subtract 6.35 from both sides and you will get that b=9.89-6.35 solve that and you will get that b= 3.54.
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters, and a standard deviation of 7. If a random sample of 39 steel bolts is selected, what is the probability that the sample mean would be greater than 141.4 millimeters
Answer:
Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.
Step-by-step explanation:
We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.
A random sample of 39 steel bolts is selected.
Let [tex]\bar X[/tex] = sample mean diameter
The z score probability distribution for sample mean is given by;
Z = [tex]\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean diameter = 141 millimetres
[tex]\sigma[/tex] = standard deviation = 7 millimetres
n = sample of steel bolts = 39
Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P([tex]\bar X[/tex] > 141.4 millimetres)
P([tex]\bar X[/tex] > 141.4) = P( [tex]\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }[/tex] > [tex]\frac{141.4-141}{\frac{7}{\sqrt{39} } } }[/tex] ) = P(Z > 0.36) = 1 - P(Z [tex]\leq[/tex] 0.36)
= 1 - 0.6406 = 0.3594
The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.
Express the following number in scientific notation. 46,000,000 = _____ 4.6000 x 10 7 4.6 x 10 7 4.600 x 10 7 0.460 x 10 6
Answer:
4.6 x 10^7
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
g(x) = -4x + 5, find g(5).
Answer:
-15
Step-by-step explanation:
g(x) = -4x + 5, find g(5)
Let x = 5
g(5) = -4*5 +5
= -20 +5
= -15
Which is the graph of y = ⌊x⌋ – 2? On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 5, negative 5) to (negative 4, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 4) to (5, 4). On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 5, negative 5) to (negative 4, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 4) to (5, 4). On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 3, negative 5) to (negative 2, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 2) to (5, 2). On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, negative 5) to (negative 3, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 3) to (5, 3).
Answer:
On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 3, negative 5) to (negative 2, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 2) to (5, 2).
Step-by-step explanation:
The floor function graphs as horizontal segments 1 unit long, each 1 unit up from the segment to its left. It will have a closed circle at the left end of the segment, and an open circle at the right end.
Since 2 is subtracted from the floor of the x-value, the closed circle at the left end of the segment will have coordinates (x, x-2). The only offered choice meeting that condition is the 3rd choice listed here.
Answer:
c on edge
Step-by-step explanation:
I js did it tbh
Tiffany needs to rent a car while on vacation. The rental company charges $18.95, plus 17 cents for each mile driven. If Tiffany only has $50 to spend on the car rental, what is the maximum number of miles she can drive?
Answer: 182 miles.
Step-by-step explanation:
0.17x + 18.95 ≥ 50
- 18.95 -18.95
0.17x = 31.05
x= 182
I need this quick because I am on Khan 2(3-8y)= ? Plz help
-her daughter
Answer:
6-16y
Step-by-step explanation:
Distribute, 2 x 3 and 2 x 8
6-16y
Evaluate: 2a + 4b when a = 10 & b = 6
A: 20
B: 4
C: 44
D:24
Answer: Option C: 44
Step-by-step explanation:
so, here we have the equation:
H(a,b) = 2a + 4b
"evaluate" means change the values of the variables for specific values, here we must replace the "a" for 10, and the "b" for a 6.
So we have:
H(10, 6) = 2*10 + 4*6 = 20 + 24 = 44
what is the answer to he equation to of x+3 x 4x-7
Answer:
4x^2 +5x -21
Step-by-step explanation:
(x+3) * (4x-7)
FOIL
first : x*4x = 4x^2
outer: -7x
inner: 3*4x =12x
last: -7*3 = -21
Add them together : 4x^2 -7x+12x -21
Combine like terms : 4x^2 +5x -21
There were 500 goats and geese on a farm. If I see 1,468 legs, how many of each are on the farm? Pls help now
Answer:
734
Step-by-step explanation:
divide 1468 by 2
Answer:
234 goats266 geeseStep-by-step explanation:
Let x represent the number of goats. The 500-x is the number of geese. The total number of legs is ...
4x +2(500 -x) = 1468
2x +1000 = 1468 . . . . . . . eliminate parentheses
2x = 468 . . . . . . . . . . .subtract 1000
x = 234 . . . . . . . . .number of goats
(500 -x) = 266 . . number of geese
A car with 15 gallons of gasoline drives 420 miles until the tank is empty. Write a linear equation that describes the amount of gas left in the car, y, after driving x miles.
Answer:
[tex] y = -\dfrac{1}{28}x + 15 [/tex]
Step-by-step explanation:
The car uses 15 gallons of gasoline to drive 420 miles.
(15 gal)/(420 mi) = 1/28 gal/mi
The car uses 1/28 gallon of gasoline per mile.
y = mx + b
When x = 0, at the start of the drive, the car has 15 gallons of gasoline.
y = mx + 15
Then for every mile it travels, the amount of gasoline goes down by 1/28 gal. For x miles of travel, it uses 1/28 * x gallons of gasoline.
[tex] y = -\dfrac{1}{28}x + 15 [/tex]
What is the measure of angle 1 in the diagram below?*
D
18°
A
B
120°
E
Answer:
123
Step-by-step explanation:
FIND THE SMALLEST ANGLE IN THE TRIANGLE! PLEASE HELP!! 25 POINTS!!
From the side/angle inequality, we see that the smallest angle of a triangle must be opposite its shortest side. In this case, that angle is opposite the shortest side [tex]\overline{AC},[/tex] so our answer is [tex]\boxed{\angle B}.[/tex]
As for finding its measure (which I'm aware the question probably didn't ask for), we can use the law of cosines:
[tex]5^2=6^2+7^2-2(6)(7)\cos B[/tex]
[tex]\cos B=\frac{5}{7}\implies\angle B\approx\boxed{44.4^\circ}.[/tex]
Answer:
Smallest Angle in the triangle is angle c.
10+10+10-10+10+10+10
Answer:
60
Step-by-step explanation:
=> 10+10+10-10+10+10+10+10
=> 30-10+40
=> 20+40
=> 60
Answer:
60
Step-by-step explanation:
10+10+10-10+10+10+10
Select the most important variables and expressions the park owners should consider as they decide whether to add another roller coaster
Answer:
The park owners should take into account the population of children in the community, if there are a good number of kids living in that area and the towns nearby - there would be a great demand for another roller coaster. They should consider the safety measures on the particular roller coaster they intend to add and check for the available space where they plan to fit the ride in the park.
Hope that answers the question, have a great day!
is it possible for a triangle to have the side lengths of 3, 8, and 13
Answer:
No
Step-by-step explanation:
The longest side of a triangle must be less than the sum of the shorter two sides.
3 + 8 = 11. 13 is not less than 11. So it is not possible for a triangle to have these sides.
Find the five-number summary for the data.
{238, 213, 223, 212, 225, 233, 230, 239, 223, 207, 219,
217, 234, 204, 212, 242}
A. 204, 212.5, 223, 233.5, 242
B. 204, 212, 223, 233, 239
OC. 204, 212, 219, 233, 242
OD. 207, 212, 223, 234, 239
Answer:
The correct option is A. 204, 212.5, 223, 233.5, 242.
Step-by-step explanation:
The five number summary of a data set is:
Minimum First Quartile Median Third Quartile Maximum.The data provided, in ascending order is:
S = {204 , 207 , 212 , 212 , 213 , 217 , 219 , 223 , 223 , 225 , 230 , 233 , 234 , 238 , 239 , 242}
There are a total of 16 values in the data set.
The minimum value is,
Minimum = 204
The first quartile is the median value of the first half of the data.
The first half of the data is:
S₁ = {204 , 207 , 212 , 212 , 213 , 217 , 219 , 223 }
The median for even number of observations is the mean of the middle two values.
[tex]\text{Q}_{1}=\frac{4^{th}+5^{th}}{2}=\frac{212+213}{2}=212.5[/tex]
The first quartile is 212.5.
The median for even number of observations is the mean of the middle two values.
[tex]\text{Median}=\frac{8^{th}+9^{th}}{2}=\frac{223+223}{2}=223[/tex]
The median of the data is 223.
The third quartile is the median value of the second half of the data.
The first half of the data is:
S₂ = {223 , 225 , 230 , 233 , 234 , 238 , 239 , 242}
The median for even number of observations is the mean of the middle two values.
[tex]\text{Q}_{3}=\frac{12^{th}+13^{th}}{2}=\frac{233+234}{2}=233.5[/tex]
The third quartile is 233.5.
The maximum value is,
Maximum = 242
Which is the area of a square with one side that measures 1 foot?
A) 1 square inch
B) 100 square inches
C) 144 square inches
D) none of the above
2
Select the correct answer.
Some persuasive texts rely on common but faulty forms of reasoning. Which term refers to these faulty ways of reasoning?
ОА.
emotional appeals
OB. blased arguments
OC. rhetorical techniques
OD. logical fallacles
O E
endorsements
Reset
Next
Answer:
D. Logical Fallacies
Step-by-step explanation:
Let's break this down:
fallacy: A false or mistaken idea.
By this definition, we can see that "false" would go with the word "faulty". A logical Fallacy is is a false or mistaken idea that's intended to sound logical. I hope this helps you!!
Write this number in expanded notation 2,930,365
Answer:
2,000,000+900,000+30,000+300+60+5
Step-by-step explanation:
hope this helps and Please Rate brainliest!!!
the sum of three consecutive odd numbers is 51
Answer:
the answer for the question is 25 and 26
Which are perfect cubes? Check all that apply. 64 x16 8x3 27x4 81x6 125x9
Answer:
A,C,F
Step-by-step explanation: I took the test :)
The expression 64 is perfect cube of 3.
The expression [tex]8x^{3][/tex] is the perfect cube of [tex](2x)^{3}[/tex].
The expression [tex]12x^{9}[/tex] is perfect square of [tex](5x^{3})^{3}[/tex]
We have to determine, which to the following is perfect cube.
According to the question,
A perfect cube is an integer that is equal to some other integer raised to the third power.
To obtain the perfect cubes of the expression, it can be determined in following steps.
The given expression is 64.
To convert it into perfect square written in small factor parts.
Therefore, 64 written as,
[tex]= 64\\\\= 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\\\= (2)^{3} \times (2)^{3}\\\\= (2\times 2)^{3}\\\\=( 4)^{3}[/tex]
The expression 64 is perfect cube of 3.
The given expression is 16x.
To convert it into perfect square written in small factor parts.
Then,
16x can be written as,
[tex]= 16x \\\\= 2\times 2\times 2\times 2\times x\\\\= 2x.(2)^{3}\\[/tex]
The expression 16x is not perfect cube.
The given expression is [tex]8x^{3][/tex].
To convert it into perfect square written in small factor parts.
Then,
[tex]8x^{3}[/tex] can be written as,
[tex]= 8x^{3}\\\\= 2 \times 2 \times 2 \times x^{3}\\\\= (2)^3 \times {x^{3}}\\\\= (2x)^{3}[/tex]
The expression [tex]8x^{3][/tex] is the perfect cube of [tex](2x)^{3}[/tex].
The given expression is [tex]27x^{4}[/tex]
To convert it into perfect square written in small factor parts.
Then,
[tex]27x^{4}[/tex] can be written as,
[tex]= 27x^{4}\\\\= 3 \times3 \times3 \times x^{4}\\\\= (3)^{3} \times x \times x^{3}\\\\= x \times (3x)^3[/tex]
The expression [tex]27x^{4}[/tex] is not a perfect cube.
The given expression is [tex]81x^{6}[/tex]
To convert it into perfect square written in small factor parts.
Then,
[tex]81x^6[/tex] can be written as,
[tex]= 81x^{6}\\\\= 3 \times3 \times3 \times3 \times x^{6}\\\\= 3.(3)^{3} \times x^{3} \times x^{3}\\\\= 3 \times ( 3x^{2}) ^{3}[/tex]
The expression [tex]81x^{6}[/tex] is not a perfect cube.
The given expression is [tex]81x^{6}[/tex]
To convert it into perfect square written in small factor parts.
Then,
[tex]125x^{9}[/tex] can be written as,
[tex]=125x^{9}\\\\= 5 \times 5 \times 5 \times x^{3} \times x^{3} \times x^{3}\\\\= (5x^{3})^{3}[/tex]
The expression [tex]12x^{9}[/tex] is perfect square of [tex](5x^{3})^{3}[/tex]
To know more about perfect square click the link given below.
https://brainly.com/question/16780291
WILL GIVE BRAINLIST.Which of the following multiplication expressions can be modeled by the tiles shown?Check all that apply 8(3)=24 6(4)=24 (3)(12)=36 24(3)=72 3(8)=24 2(12)=24
Answer:
8(3)=24
3(8) =24
Step-by-step explanation:
Step-by-step explanation:
i want brainliest please
Answer:
8 sets of 3 positive tiles.
Which of the following multiplication expressions can be modeled by the tiles shown? Check all that apply.
yes 8(3) = 24
no 6(4) = 24
no (3)(12) = 36
no 24(3) = 72
yes 3(8) = 24
no 2(12) = 24
yah welcome
What is 10 times larger than the 7 in this number 16372
Answer:
700
Step-by-step explanation:
I am slightly confused by your wording, but Im assuming you mean the expanded form.
In the base ten system, the second to last digit is the tens place. Therefore, the 7 represents 7*10 = 70
10 times larger than 70 is 700
