Answer:
k = 1/4 is the constant variation of 2x+8
Step-by-step explanation:
Hope it's correct ;D
A culture of bacteria triples by the end of each hour. If there were initially 40 bacteria in a culture, how many bacteria should there be after 3 hours?
Answer:
There would be 1080 bacteria in the culture.
Step-by-step explanation:
Initial number of bacteria = 40
Given that
culture of bacteria triples by the end of each hour
Number of bacteria after 1 hour = 40*3 (multiplying initial number of bacteria by 3)
Number of bacteria after 1 hour = 120
number of bacteria after 2 hours = 3*Number of bacteria after 1 hour = 3*120
number of bacteria after 2 hours =360
number of bacteria after 3 hours = 3*Number of bacteria after 2 hour = 3*360 = 1080
Thus,
there would be 1080 bacteria in the culture.
Answer:
1080 bacteria
Step-by-step explanation:
which system of inequalities is shown in the graph
Answer:
The system of inequalities shown in the graph is x ≤ 4 and y > 1 ⇒ C
Step-by-step explanation:
The equation of a vertical line is x = a, where a is the x-coordinate of any point on the lineThe equation of a horizontal line is y = b, where b is the y-coordinate of any point on the lineIn the given figure, there are 2 lines, let us find the equations of them, then write the inequalities which represent the shaded areas
∵ The purple line is a vertical line
∵ It is cross the x-axis at the point (4, 0)
→ By using the first rule above
∴ The equation of the purple line is x = 4
∵ The purple line is solid and the shaded area left the line
∴ The sign inequality is ≤
∴ The inequality of the purple area is x ≤ 4
∵ The blue line is a horizontal line
∵ It is cross the y-axis at the point (0, 1)
→ By using the second rule above
∴ The equation of the blue line is y = 1
∵ The blue line is dashed and the shaded area above the line
∴ The sign inequality is >
∴ The inequality of the blue area is y > 1
∴ The system of inequalities shown in the graph is x ≤ 4 and y > 1
Which expression can be used to find 80% of 120?
80% of 120
20%
20%
20%
20%
20%
(0.8) (24)
(0.2) (120)
(0.8) (120)
(0.2) (24)
Answer:
96
Step-by-step explanation:
80÷100×120
96 ,, , ,; , ,
Answer:
(0.8) (120)
Step-by-step explanation:
[tex]80\% \: of \: 120\\\\ = \frac{80}{100} \times 120 \\ \\ = (0.8)(120)\\\\=96[/tex]
I’m having trouble with this
Answer:
24 or 25, because of the max height it can reach on the graph, its reaching the maximum height it can go
-
Somebody solve this plzz
Answer:
Not a function
Step-by-step explanation:
If you use the line/ pencil test ***I think that's what it's called...
you put a pencil flat on the graph and if it touches more than one point, it is not a function. This only works with some graphs.But it works with this one.
The sum of the digits of a two − digit number is 11. The unit's digit is 7 less than the ten's digit. Find the number.
Answer:
Number = 92
Step-by-step explanation:
Let the unit digit is x and that of tens digit is y.
ATQ,
x+y = 11 ....(1)
The unit's digit is 7 less than the ten's digit
x = y-7 ...(2)
Put the value of x from equation (2) in (1)
y-7+y = 11
2x-7 = 11
2x = 11+7
2x = 18
x = 9
Put the value of x in equation (1)
9+y = 11
y = 2
Hence, the number is 92.
The three consecutive terms
of an exponential sequence are
the second third and sixth terms
of a linear sequence. Find the
common ratio
the exponential
sequence.
Answer:
1Step-by-step explanation:
The nth term of an exponential sequence is expressed as ar^n-1
The nth term of a linear sequence is expressed as Tn = a + (n-1)d
a is the first term
r is the common ratio
d is the common difference
n is the number of terms
Let the three consecutive terms of an exponential sequence be a/r, a and ar
second term of a linear sequence = a +d
third term of a linear sequence = a + 2d
sixth term of a linear sequence = a + 5d
Now if the three consecutive terms of an exponential sequence are the second third and sixth terms of a linear sequence, this is expressed as;
a/r = a + d ..... 1
a = a + 2d ..... 2
ar = a+ 5d .... 3
From 2: a = a + 2d
a-a= 2d
0 = 2d
d = 0/2
d = 0
Substitute d = 0 into equation 1:
From 1: a/r = a + d
a/r = a+0
a/r = a
Cross multiply
a = ar
a/a = r
1 = r
Rearrange
r = 1
Hence the common ratio of the exponential sequence is 1
which of the following shows the length of the third side, in inches, of the triangle below?
Answer:
20 inches
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Identify Variables
Leg a = x
Leg b = 15
Hypotenuse c = 25
Step 2: Solve for x
Substitute [PT]: x² + 15² = 25²Isolate x term: x² = 25² - 15²Exponents: x² = 625 - 225Subtract: x² = 400Isolate x: x = 20Answer:
20 inches
Step-by-step explanation:
Step 1: Understanding Pythagorean Theorem
The Pythagorean Theorem is [tex]a^{2} +b^{2}+c^{2}[/tex]. It is used to find the side lengths of a right triangle.
Step 2: Using the Theorem
We can see that the triangle shown is a right triangle and we know two sides so we can solve for the last side.
We can denote -
a - 15
b - unknown
c - 25
(note, c is always the hypotenuse or the longest side of the triangle)
We can plug in the numbers -
[tex]15^{2} +b^{2} =c^{2}[/tex]
[tex]225 +b^{2}=625[/tex]
[tex]b^{2} =625-225[/tex]
[tex]b^{2} =400[/tex]
[tex]b=20[/tex]
help asap
short its an MCQ
If the diameter of 3 circles is in the ratio 4: 2: 1. The perimeter of the smallest circle is 8 cm. Then the area of
the shaded region is
Answer:
216[tex]\pi[/tex]
Step-by-step explanation:
Given the figure.
And the perimeter in the ratio 4: 2: 1.
Perimeter of smallest circle = [tex]8\pi[/tex]
To find:
Area of shaded region.
Solution:
To find the area, we need to have radius first.
And radius can be calculated by the given perimeter.
Formula for Perimeter is given as:
Perimeter = [tex]2\pi r[/tex]
[tex]8\pi = 2\pi r\\\Rightarrow r = 4\ cm[/tex]
Radius of smallest circle = 4 cm
Ratio of perimeter is equal to the ratio of the radii.
Radius of 2nd smallest circle by the given ratio = 8 cm
Radius of largest circle = 16 cm
Area of a circle is given the formula:
[tex]A = \pi r^2[/tex]
Area of the smallest circle = [tex]\pi 4^2 = 16\pi\ cm^2[/tex]
Area of the 2nd smallest circle = [tex]\pi 8^2 = 64\pi\ cm^2[/tex]
Area of the largest circle = [tex]\pi 16^2 = 256\pi\ cm^2[/tex]
Area of the shaded region = Area of largest circle + 2 [tex]\times[/tex] Area of 2nd smallest circle + 3 [tex]\times[/tex] Area of smallest circle - 2 [tex]\times[/tex] Area of smallest circle - 3 [tex]\times[/tex] Area of 2nd smallest circle
Area of the shaded region = Area of largest circle - Area of 2nd smallest circle + Area of smallest circle = [tex]256\pi - 64\pi +16\pi = 216\pi[/tex]
Kara’s bedroom is in the shape of a rectangle. The perimeter of her room is 50 feet. The width of her room is 12 feet. What is the length of Kara’s room?
A
13 feet
B
25 feet
C
26 feet
D
38 feet
Answer:
13
Step-by-step explanation:
Ok so we will eliminate some numbers first. The width is 12, but the total on the perimeter is 24. 50-24 = 26
26 is not the length, so divide that by 2, and get 13
Proof:
x=2
13x=26
12x=24
24+26 = 50
Jerry is a judge. he hears 5 cases every 2 3/8 hours how many cases does he haer per hour
Answer:
2 2/19
Step-by-step explanation:
5 cases in 2 3/8 hours
The unit rate of cases per hour is calculated by dividing the number of cases by the number of hours.
5/(2 3/8) = 5/(19/8) = 5 * 8/19 = 40/19 = 2 2/19
Answer:
2 2/19 cases per hour
Step-by-step explanation:
5 ÷ 2 3/8
~Turn the fraction on the left into an improper one
5 ÷ 19/8
~Copy Dot Flip
5/1 * 8/19
~Multiply
40/19 or 2 2/19
Best of Luck!
A technician makes $34,400 a year and
a computer programmer makes $46,500 a
year. How much more does a computer
programmer make a year compared to a
technician.
a computer programer is making 12,100 more dollars than the technichan.
If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, determine a quadratic model to represent the tunnel.
State a geometric model that could be used to represent a truck passing through the tunnel.
Answer:
TUNNEL:
f(x) = -2/4.9 [tex]x^{2}[/tex] + 9.8
TRUCK:
Width (m) < 9.8
Height (m) < -2/4.9 ( [tex]Width^{2}[/tex] /4 - [tex]4.9^{2}[/tex] )
Step-by-step explanation:
Please see attachment
If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, The quadratic model to represent the tunnel will be f(x)= (-2/4.9)x²+9.8.
What is a quadratic function?Any function of the form[tex]\rm f(x) =ax^2+bx+c[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.
It is given that, If the maximum height of the tunnel is the same as its maximum width, 9.8 meters.
We have to determine a quadratic model to represent the tunnel.
The quadratic function is formed as,
f(x) =K(x-x₁)(x-x₂)
x₁=width/2
x₁=9.8/2 = 4.9
x₂= -x₁ = -4.9
Substitute the obtained value as,
f(x) = K(x-4.9)(x-(-4.9))
f(x) =K(x²-4.9²)
f(0)=9.8
The value of K is obtained as a result,
K=-2×4.9/(4.9)²
K= -2/4.9
Substitute the value of K as,
f(x) = -2/4.9(x²-4.9²)
f(x) = (-2/4.9)x²+2×4.9
f(x)= (-2/4.9)x²+9.8
Thus, if the maximum height of the tunnel is the same as its maximum width, 9.8 meters, The quadratic model to represent the tunnel will be f(x)= (-2/4.9)x²+9.8.
Learn more about quadratic function here:
brainly.com/question/17177510
#SPJ2
A motorcycle can travel 70 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 60 km?
[1 mile = 1.6 km]
0.2
0.5
0.8
1.4
Answer:
Step-by-step explanation:
if our motorcycle use 70 miles per gallon
and 1mile=1.6 km
the motorcycle travels 70*1.6=112 km per gallon
for 60 km it needs
60/112=0.54 gallons
What is the value of 0.15 divided by
0.05?
Answer:
0.3
Step-by-step explanation:
The answer is actually 3
A pie shop sold a total of 208 pies one day. The pies were apple, cherry, and blueberry. The ratio
of apple pies sold to cherry pies sold to blueberry pies sold was 6:4:3. How many of each type
were sold?
Plss step by steppp
Answer:
96 apple pies, 64 cherry pies, and 48 blueberry pies.
Step-by-step explanation:
6 + 4 + 3 = 13, and 208 / 13 = 16. Now multiply each number in the ratio by 16, so 6 x 16 = 96, 4 x 16 = 64, and 3 x 16 = 48. You can check your answer by adding all 3 numbers and making sure it adds up to 208. Hope that helps
Krystal purchases a total of $120. If a 4% sales tax is added on, how much will her total purchase cost?
helicopter is flying at an elevation of 450 feet. It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘. Find the distance between a point on the ground directly below the helicopter and the landing pad. Round your answer to the nearest whole number.
Answer:
138 feets
Step-by-step explanation:
Given that :
Angle of depression (α) = 16°
Elevation = height = 450 feets
Appling trigonometry :
From the picture attached :
Height / elevation = 450 feets (Adjacent)
Distance = d (opposite)
Tan α = opposite / Adjacent
Tan 17 = d / 450
450 tan17 = d
450 * 0.3057306 = d
d = 137.57880
Hence, distance between a point on the ground directly below the helicopter and the landing pad 138 feets
The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.
Given that,
The helicopter is flying at an elevation of 450 feet.
It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘.
We have to determine,
The distance between a point on the ground directly below the helicopter and the landing pad.
According to the question,
The angle of depression = 16°,
Elevation = height = 450 feet
And d is the distance,
The angle of depression is an important component used in trigonometric operations.
The angle of depression is formed when the observer stands on a ground higher than the object which he is trying to observe.
Therefore, The angle of depression is,
[tex]Tan16 = \dfrac{d}{450}\\\\0.28 = \dfrac{d}{450}\\\\d = 450 \times 0.28\\\\d = 129.03 \ feet[/tex]
Hence, The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.
To know more about Trigonometry click the link given below.
https://brainly.com/question/13760328
What are the answers to these aswell mb?
Answer:
4 is D = 23
Step-by-step explanation:
the coefficient is the number before the letter
I’ll give brainliest pls help
Answer:
The slopes of WX and XZ
Step-by-step explanation:
The singular factor that determines if the parallelogram is a rectangle are the angles at the edges
Mathematically, we can only have a rectangle if there are four right angles with one right angle each at the edges of the rectangle
So, by having the slope of the sides forming the width and that which forms the length, we can deduce if what we have is rectangle given that the slopes will yield a perpendicular product
Hence, the slopes of WX and XZ can be calculated to show this
O A. yis all real numbers.
O B. y> 0
C. O sys 8
D. -65 x<6
Answer:
C. 0 ≤ y ≤ 8
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the graph, we see that the line's y-value span from 0 to 8. Since both are closed dots, they are inclusive in the range:
[0, 8] or 0 ≤ y ≤ 8
PLZ HELP ME Solve -2z – 5 > 3 for z.
Answer:
z<-4
Step-by-step explanation:
-2z-5>3
Add 5 to both sides.
-2z>8
Divide both sides by -2.
Z<-4
The sign must change because you are dividing by a negative.
find the square root of 5.494
[tex] \sqrt{5.494} [/tex]
Answer:
the square root of 5.494 is 2.34
Step-by-step explanation:
The computation of the square root of 5.494 is as follows"
According to the question it is mentioned that
The number is 5.494
Now the square root of the above number is
[tex]\sqrt{5.494}[/tex]
= 2.34
Hence, the square root of 5.494 is 2.34
Therefore the same is to be considered
Nadia is asked to find a number such that the difference between five times the number and three less than twice the number is equal to eighteen. Her work and answer are shown below. 5n−(3−2n)5n−3+2n7n−37nn=====181818213 Is Nadia correct? If not, identify and correct her error.
Answer:
Nadia is incorrect, please check explanations for the correction to her work
Step-by-step explanation:
Here, we want to validate the wok of Nadia
Let the number be n
5 times the number is 5 * n = 5n
Difference between 5n and 3 less than twice the number
3 less than twice the number is 2n-3
So it should be 2n-3 ;
The solution is thus;
5n - (2n-3) = 18
5n - 2n + 3 = 18
3n + 3 = 18
3n = 18-3
3n = 15
n = 15/3
n = 5
Answer:
Nadia is incorrect; she did not translate the given information into an equation properly. The first equation should be 5n−(2n−3)=18.
Step-by-step explanation:
The cost of a dvd in dollars can be represented by the expression 18-d where d is the discount amount. Use the distributive property to write and simplify an expression for the cost of 3 dvds
Answer:
54 - 3d
Step-by-step explanation:
In order to find the cost of 3 DVDs we would simply need to multiply the expression given by 3. In order to do so we must use the distributive property and distribute the 3 to both the initial price of the dvd and the discount price, like so...
3(18 - d) ... in order to distribute we multiply 3 by 18 and then by d seperately
(3 * 18) - (3 * d)
54 - 3d
That would leave us the expression 54 - 3d
The fraction 24/28 in simplest form is
Answer:
6/7
Step-by-step explanation:
greatest common factor: 4
24/4=6
28/4=7
Please can y'all help me asp
flying with the wind a plane went 396km/h. Flying into the wind the plane only went 350 km/h. Find the speed of the wind and the speed of the plane in still air.
Answer:
/
Step-by-step explanation:
6x=3-12x
how can i solve it
please tell the answer in a simple way
Answer:
x=0.16
Step-by-step explanation:
I only need the answer to the question. Thank you!
Answer:
10
Step-by-step explanation:
refer attachment for detailed answer
The equation below has one solution.
9x - 10 = 3x + 2
What is the solution to the equation?
–2
–1
1
2
Answer:
x=2
Step-by-step explanation:
