Answer:
x=16
Step-by-step explanation:
3*4=12
4*4=16
The expression 6.7\cdot1.45^t6.7⋅1.45 t 6, point, 7, dot, 1, point, 45, start superscript, t, end superscript models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project ttt years since 200220022002. What does 1.451.451, point, 45 represent in this expression?
Answer: 1.45 is a growth factor.
Step-by-step explanation:
Exponential growth function: [tex]y=Ab^x[/tex], where A = initial value , b = growth factor (if b>1)
Here, The expression [tex]6.7\cdot(1.45)^t[/tex] models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project t years since 2002.
Here, b=1.45 >1
Thus,1.45 is a growth factor.
A pizza parlor advertises pizza options. They offer 7 toppings and allow up to 4 on each pizza. Write an expression that represents this situation.
A: 7!
B: 7!/3!
C: 7!/4!3!
D: 4!3!/7!
Explanation:
This is after using the nCr combination formula
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
where in this case n = 7 and r = 4. Note how n-r = 7-4 = 3.
We use nCr instead of nPr because the order of the toppings doesn't matter.
Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at a rate of 70mph. She calculated and determined that a car travelling at 70 mph covers approximately 1.13 × 105 meters per hour.
Tori wrote this expression to determine the distance she would travel into outer space.
(3.21 × 103)(1.13 × 105)
Estimate the distance travelled.
Almost-equals30 × 1015 meters
Almost-equals3 × 108 meters
Almost-equals30 × 108 meters
Almost-equals3 × 1015 meters
Answer:
the answer is B
Step-by-step explanation:
smort :)
Answer:
bbbbbbb
Step-by-step explanation:
Find the solution of y = 6x + 1 for x = 5
Answer:
y = 31 when x = 5
Step-by-step explanation:
We are to evaluate (not solve) the function y = 6 x + 1 for x = 5.
Substituting 5 for x in y = 6x + 1, we get
y = 6(5) + 1 = 31
y = 31 when x = 5
[tex] \quad\quad \quad\quad\tt{y = 6x + 1}[/tex]
[tex] \quad\quad \quad\quad\tt{y = 6(5) + 1}[/tex]
[tex] \quad\quad \quad\quad\tt{y = 30 + 1}[/tex]
[tex] \quad\quad \quad\quad \boxed{\tt{y = 31}}[/tex]
Hence, the final answer is:[tex]\quad\quad \quad\quad \boxed{\tt \color{green}{y = 31}}[/tex]
_______
#LetsStudy
Find the geometric mean of each set of numbers (Write answers in simplest radical form):
a) 15 and 20
b) 18 and 30
Answer:
Step-by-step explanation:
a.
G.M. between between 15 and 20=√(15×20)
=√(300)
=√(100×3)
=10√3
b.
G.M. between 18 and 30
=√(18×30)
=√(3×3×2×2×3×5)
=3×2√15
=6√15
will mark brainliest!!!!]
Find the distance between the points (-5, -10) and (2, 4).
Answer:
15.65 units
Step-by-step explanation:
Given data
x1=-5
y1=-10
x2=2
y2=4
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((2-(-5))²+(4-(-10))²)
d=√(2+5)²+(4+10)²
d=√7²+14²
d=√49+196
d=√245
d=15.65 units
Hence the distance between the points is 15.65 units
Find the area of circle whose radius is 5
cm.
Answer:
22/7 ×5^2(area of circle is2πr^3
78.57
can someone help i dont understand exponential functions
Answer:
1,3,4,6
Step-by-step explanation:
High population density can cause increased competition for resources such as food or shelter, while a low population density can cause issues with finding mates and diversification. The region with the highest population density is . The region with the lowest population density is .
Answer:
The region with the highest population density is Binky Lee
The region with the lowest population density is ChesLen
Step-by-step explanation:
The population density is the total number of people per unit of land area.
Population density = Total population / land area
Beer Creek = 12,624/3,412
= 3.6998827667057
Approximately, 3.7
Binky Lee = 462/112
= 4.125
Approximately, 4.1
ChesLen = 3,537/1,263
= 2.8004750593824
Approximately, 2.8
Crow's nest = 2,142/612
= 3.5
The region with the highest population density is Binky Lee
The region with the lowest population density is ChesLen
Answer:
1. Binky lee
2. Cheslen
Step-by-step explanation:
Write this percentage as a fraction in its simplest form.
30%
Answer:
30/100
Step-by-step explanation:
30% as a fraction is 3/10; In simplest form is 30% = 30/100.
Please help me with this
Answer:
6y
Step-by-step explanation:
The two figure are squares with the same area
side = √area = √y^2 = y (with y>0 because a length can‘t be negative)
perimeter = side * 6 = y * 6 = 6y
Owen bought 4 pizzas for a class party. If each person ate 1/5 of a pizza, how many people could be served? Division and multiplecation please right the correct equation.
9514 1404 393
Answer:
20 people
Step-by-step explanation:
Let n represent the number of people served. If each ate 1/5 of a pizza and there are 4 pizzas, we have ...
(1/5)·n = 4
The solution can be found by multiplying both sides of the equation by 5.
5(1/5)n = 5(4)
n = 20
20 people could be served.
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PLS HELP
Answer:
x ^2 y √ 3 y
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Find the aspect ratio of a computer screen that measures 12 inches by 16 inches.
Answer:
3:4
Step-by-step explanation:
That ratio would be 12:16, or 3:4.
The aspect ratio of a computer screen will be 4: 3.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
The computer screen measures 12 inches by 16 inches.
Then the aspect ratio will be given by the number 16 inches divided by 12 inches.
We know that the aspect ratio will be greater than 1. Then the aspect ratio will be
Aspect ratio = 16 / 9
Aspect ratio = 4/3
Aspect ratio = 4: 3
The aspect ratio of a computer screen will be 4: 3.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
Nigel has 2 dogs one eats 21/2 pounds of food each week. The other eats 1 3/8 pounds a week together how much food do the dogs eat in a week?
Answer:The dogs eat 3 7/8 pounds of food together each week.
Step-by-step explanation:
First dog eats eats 21/2 pounds of food each week
The second eats eats 1 3/8 pounds of food each week
In total the two dogs eat
2 1/2 + 1 3/8 = 3 (4+3)/8
=3 7/8
The dogs eat 3 7/8 pounds of food together each week.
7x2-6x=-7
Solve using quadratic formula :)
If f(x)= 5x^5+1, then what is the remainder when f(x) is divided by x+1?
Answer:
Remainder = (-4)
Step-by-step explanation:
f(x) = 5[tex]x^{5} + 1[/tex]
x + 1 = 0
x = -1
f(-1) = 5*[tex](-1)^{5} + 1[/tex]
= 5 * (-1) + 1
= -5 +1
= -4
PLEASE please help me with this!! its due tonight. THANK YOU.
explaining your answer = brainliest
the area of the parallelogram is 49 square centimeters.
y = ___ cm
Answer:
[tex]y = 12.25[/tex]
Step-by-step explanation:
Area of parallelogram = [tex]49 {cm}^{2} [/tex]
∴ Side of Parallelogram = [tex]s = \frac{perimeter}{4} [/tex]
[tex]∴ \: s = y[/tex]
[tex]y = \frac{49}{4} [/tex]
[tex]y = 12.25[/tex]
Hope it is helpful...please help. its for an assignment that is due today.
4x +y = 10 graph the linear equation
Find the value of two numbers if their sum is 170 and their difference is 144.
Answer:
The two numbers are 157 and 13
Step-by-step explanation:
Let x and y be the two numbers
x+y = 170
x-y =144
Add the two equations together
x+y = 170
x-y =144
-------------------
2x= 314
Divide by 2
2x/2 = 314/2
x =157
Now find y
x+y = 170
157+y = 170
y = 170-157
y =13
What number is not a factor of 24
Two students are reading a book. Keith reads 6 pages a day. Tameka reads 5 pages a day, but she starts sooner and has already read 15 pages.
Part A
Write a system of equations to represent the situation, using d for days and p for pages.
Part B
Graph the system of equations. (Click to draw on the graph.)
Question 3
Part C
Will Keith and Tameka ever be on the same page on the same day? Explain.
Answer: keith
Step-by-step explanation:
The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,
p = 6d
p = 5d + 15
Since we know that,
A system of equations is the set of equations in which the finite set of equations is present for which the common solution is sought.
Two students are reading a book. Keith reads 6 pages a day.
The equation for Keith, where d for days and p for pages can be given as,
p = 6xd
p = 6d
Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,
p = 5xd + 15
p = 5d + 15
Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,
p = 6d
p = 5d + 15
Learn more about the system of equations here;
brainly.com/question/13729904
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Factorise completely the expression below: 6ax+12by-9ay-8bx
Answer:
Step-by-step explanation:
6ax +12by -9ay -8bx
=6ax -8bx -9ay +12by
=2x(3a -4b)-3y(3a -4b)
=(2x-3y)(3a-4b)
Two basketballs are thrown along different paths. Determine if the basketballs’ paths are parallel to each
other, perpendicular or neither. Explain your reasoning.
o The first basketball is along the path 3x + 4y = 12
o The second basketball is along the path -6x – 8y = 24
Answer:
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Step-by-step explanation:
Remember that:
Two lines are parallel if their slopes are equivalent. Two lines are perpendicular if their slopes are negative reciprocals of each other. And two lines are neither if neither of the two cases above apply.So, let's find the slope of each equation.
The first basketball is modeled by:
[tex]\displaystyle 3x+4y=12[/tex]
We can convert this into slope-intercept form. Subtract 3x from both sides:
[tex]4y=-3x+12[/tex]
And divide both sides by four:
[tex]\displaystyle y=-\frac{3}{4}x+3[/tex]
So, the slope of the first basketball is -3/4.
The second basketball is modeled by:
[tex]-6x-8y=24[/tex]
Again, let's convert this into slope-intercept form. Add 6x to both sides:
[tex]-8y=6x+24[/tex]
And divide both sides by negative eight:
[tex]\displaystyle y=-\frac{3}{4}x-3[/tex]
So, the slope of the second basketball is also -3/4.
Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.
Help please! Thank you:)
Answer:
what kind of math is that?
Step-by-step explanation:
Solve this system of equations using the ELIMINATION method.
3x - 2y = 1
2x + 2y = 4
hope this helps please like and mark as brainliest
Answer:
x = 1
y = 1
Step-by-step explanation:
3x - 2y = 1
2x + 2y = 4
3x - 2y + 2x + 2y = 1 + 4
3x + 2x = 5
5x = 5
5x ÷ 5 = 5 ÷ 5
x = 1
2x + 2y = 4
2(1) + 2y = 4
2 + 2y = 4
2 - 2 + 2y = 4 - 2
2y = 2
2y ÷ 2 = 2 ÷ 2
y = 1
Check:
3x - 2y = 1
3(1) - 2(1) = 1
3 - 2 = 1
x and y being 1 works for the first equation.
2x + 2y = 4
2(1) + 2(1) = 4
2 + 2 = 4
x and y being one works for both equations.
What is the translation shown in the graph?
Answer:
The shape is translated four units left, and 2 units up, therefore the answer would be x=-4 and y=+2
Answer:
P= (1,-1)= P'= (-3,1)
T=(4,-1)=T'= (0,1)
R=(5,1)=R'= (1,3)
A= (5,3)=A'= (1,5)
So you would move the points 4 units across (left) and 2 units up (2,-4)
I would think your answer is right, it would be the second choice. Its just a little hard to determine because you would use the method of moving the point but to double check you would use one of the points, for example (1,-1) you would do 1+2-4 to see if you would get -3 and do the same with -1, -1+2-4. I hoped this helped!
A roof top garden in the city measures 6 2/3 yards by 4 1/8 yards. Find the area of the roof top garden.
Answer:
27.5 square yards.
Step-by-step explanation:
Multiply the measures of the length and width to find the area. So 6 2/3 * 4 1/8 = 27.5
A triangle has sides with lengths of 40 yards, 75 yards, and 85 yards. Is it a right triangle?
Answer:
Yes
Step-by-step explanation:
To check, the squared values of the two smaller lengths must equal the squared value of the biggest length (Pythagorean Theorem)
40² + 75² = 85²
1600 + 5625 = or ≠ 7225
7225 = 7225
It is equivalent so it is correct.
If my answer is incorrect, pls correct me!
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-Chetan K