Answers
25) First, find the amount of minutes in 2 hours. Note that there are 60 minutes in one hour:
2 x 60 = 120 minutes per 2 hours.
Next, the bacteria doubles every 20 minutes. 120/20 = 6, which means that the bacteria will double 6 times:
1 x 2 = 2
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 bacteria will be your answer.
~
26) The Area of a circle = πr²
Set the equation:
400π = π(r + 2)²
First, divide common factors from both sides, or π.
(400π)/π = (π(r + 2)²)/π
400 = (r + 2)²
√400 = √(r + 2)²
r + 2 = √400
r + 2 = √(20 x 20)
r + 2 = 20
r + 2 (-2) = 20 (-2)
r = 20 - 2
r = 18
18 is your final answer.
~
27)
The volume of a box can be found by multiplying length x width x height:
[tex]V (box) = l * w * h[/tex]
The volume given is 90, the height 3, and the width is 1 foot less then length:
First solve what you know:
[tex]V(box) = 90\\h = 3\\l = l\\w = l - 1[/tex]
Plug in the corresponding terms with the corresponding variable. Isolate the variable, l. Divide 3 from both sides of the equation:
[tex]90 = 3 * l (l - 1)\\\frac{90}{3} = \frac{3 * l(l -1)}{3}\\30 = l(l - 1)\\[/tex]
Distribute l to both terms in the parenthesis:
[tex]30 = l(l - 1)\\30 = l^2 - l[/tex]
Solve:
[tex]30 = (6)^{2} -6\\30 = 36 - 6\\30 = 30[/tex]
∴ [tex]l = 6[/tex]
Solve for width. Width is 1 less foot then length:
[tex]l - 1 = w\\l = 6\\[/tex]
∴ [tex]6 - 1 = w\\w = 5[/tex]
Equation: [tex]V (box) = l * w * h[/tex]
or
[tex]l = \frac{V(box)}{w * h}[/tex]
[tex]V(box) = 90\\h = 3\\l = 6\\w = 5[/tex]
Related Questions
The diagonal of a square is 8 cm. What is the length of the side of this square? Give your answer as an exact surd in its simplest form.
Answers
Answer:
4[tex]\sqrt{2}[/tex] cm
Step-by-step explanation:
The diagonal divides the square into 2 right angles with legs s and the diagonal as the hypotenuse.
Using Pythagoras' identity in the right triangle , then
s² + s² = 8²
2s² = 64 ( divide both sides by 2 )
s² = 32 ( take the square root of both sides )
s = [tex]\sqrt{32}[/tex] = 4[tex]\sqrt{2}[/tex]
Answer:
Given :
↠ The diagonal of a square is 8 cm.To Find :
↠ The length of the side of square.Using Formula :
Here is the formula to find the side of square if diagonal is given :
[tex]\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} [/tex]
Where :
➺ a = side of square ➺ d = diagonal of squareSolution :
Substituting the given value in the required formula :
[tex]{\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}[/tex]
[tex]{\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}[/tex]
Hence, the length of the side of square is 5.6 cm.
[tex]\underline{\rule{220pt}{3pt}}[/tex]
Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about
triangles.
9 in
9 in.
Xin
6 in
Answers
Answer:
8.5
Step-by-step explanation:
Applying pythagora's theorem,
hypotenuse^2 = opposite^2 + adjacent^2
but, hypotenuse = 9
opposite = X
adjacent = 1/2(base of triangle)= 1/2(6)
adjacent = 3
9^2 = X^2 + 3^2
X^2 = 81 - 9
X^2 = 72
X = 8.5
Please Help me with this math question
Answers
2x/9 +x/3 = 13/6, solve for x
Answers
Answer:
x = 3 9/10
Step-by-step explanation:
2x/9 +x/3 = 13/6
Get a common denominator on the left side
2x/9 + x/3 *3/3 = 13/6
2x/9 + 3x/9 = 13/6
5x/9 = 13/6
Multiply each side by 9/5 to isolate x
5x/9 *9/5 = 13/6 * 9/5
x = 117/30
Divide the top and bottom by 3
x = 39/10
x = 3 9/10
Answer:
[tex]\bold{\red{\boxed{\blue{ x = 3.9}}}}[/tex]
Step-by-step explanation:
[tex] \frac{2x}{9} + \frac{x}{3} = \frac{13}{6} \\ \frac{2x + 3x}{9} = \frac{13}{6} \\ \frac{5x}{9} = \frac{13}{6} \\ use \: \: cross \: \: multipication \\ 5x \times 6 = 9 \times 13 \\ 30x =11 7 \\ \frac{30x}{30} = \frac{117}{30} \\ x = 3.9[/tex]
27 – 4 + 2a = 4a + 10 what is the answer
Answers
Answer:
13/2 = a
Step-by-step explanation:
27 – 4 + 2a = 4a + 10
Combine like terms
23 +2a = 4a +10
Subtract 2a from each side
23+2a-2a = 4a-2a +10
23 = 2a+10
Subtract 10 from each side
23-10 = 2a+10-10
13 = 2a
Divide by 2
13/2 = a
Answer: a = 13/2
I assume you don't need a step - by - step, you're just asking for the answer. Hope this helps!
Which regular polygon can be used to form a tessellation?
I need help
Answers
Answer: Option 4 (Hexagon)
Step-by-step explanation:
A equilateral triangle, square and hexagon can be used to form a tessellation.
Please click thanks and mark brainliest if you like
For the function y = (x – 4)(2x + 3)
the 2 x-intercepts are
Answers
Answer:
x=4 -3/2 =x
Step-by-step explanation:
y = (x – 4)(2x + 3)
To find the x intercepts set y=0 and solve for x
0 = (x – 4)(2x + 3)
Using the zero product property
0= x-4 0= 2x+3
x=4 -3 = 2x
x=4 -3/2 =x
Answer:
We can find the x intercepts by setting this equation equal to 0.
So we have:
0 = (x-4)(2x+3)
So we get:
x-4 = 0, x = 4
2x+3 = 0, x = -3/2
The x intercepts are 4 and -3/2
Hope this helps!
A checking account is
overdrawn by $5, then a
$5 fee is charged. What
is the balance on the
account?
Ty for any help!!!
Answers
minus/negative ten dollars.
.eygywhwusjsi
A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. The mean length of time per call was 3.5 minutes and the standard deviation was 0.70 minutes. What is the probability that calls last between 3.5 and 4.0 minutes? (Round your z value to 2 decimal places and final answer to 4 decimal places.)
Answers
Answer:
0.2611
Step-by-step explanation:
Given the following information :
Normal distribution:
Mean (m) length of time per call = 3.5 minutes
Standard deviation (sd) = 0.7 minutes
Probability that length of calls last between 3.5 and 4.0 minutes :
P(3.5 < x < 4):
Find z- score of 3.5:
z = (x - m) / sd
x = 3.5
z = (3.5 - 3.5) / 0.7 = 0
x = 4
z = (4.0 - 3.5) / 0.7 = 0.5 / 0.7 = 0.71
P(3.5 < x < 4) = P( 0 < z < 0.714)
From the z - distribution table :
0 = 0.500
0.71 = very close to 0.7611
(0.7611 - 0.5000) = 0.2611
P(3.5 < x < 4) = P( 0 < z < 0.714) = 0.2611
What is the slope of the line that passes through the points (-10, 8) and
(-15, – 7)? Write your answer in simplest form.
Answers
Answer:
[tex]slope=3[/tex]
Step-by-step explanation:
Use the following equation the find the slope:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}[/tex]
Rise over run is the change in the y-axis over the change in the x-axis from one point to the other. This is also known as the "slope". Insert the known values:
[tex](-10_{x1},8_{y1})\\\\(-15_{x2},-7_{y2})\\\\\\\frac{-7-8}{-15-(-10)}\\\\\frac{-7-8}{-15+10}[/tex]
Solve:
[tex]\frac{-7-8}{-15+10}=\frac{-15}{-5}[/tex]
Simplify. Two negatives make a positive:
[tex]\frac{-15}{-5}=\frac{15}{5}[/tex]
Simplify fraction by dividing top and bottom by 5:
[tex]\frac{15}{5}=\frac{3}{1} =3[/tex]
The slope is 3.
:Done
The slope of the line that passes through the points (-10, 8) and (-15, -7) is 3 and thsi can be determined by using the point-slope formula.
Given :
The line that passes through the points (-10, 8) and (-15, -7).
The following steps can be used in order to determine the slope of the line that passes through the points (-10, 8) and (-15, -7):
Step 1 - The slope formula when two points are given is:
[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
where m is the slope and [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.
Step 2 - Substitute the known terms in the above formula.
[tex]\rm m = \dfrac{-7-8}{-15+10}[/tex]
Step 3 - Simplify the above expression.
[tex]\rm m = \dfrac{15}{5}[/tex]
m = 3
For more information, refer to the link given below:
https://brainly.com/question/2514839
Need help and will mark brainlist and thank You
In a circle whose center is O, arc AB contaisn 100 degrees. Find the number of degrees in angle ABO?
Answers
Answer:
40
Step-by-step explanation:
Angles ABO, BAO, and AOB are the angles of isosceles triangle AOB. The angles at A and B are equal, so we have ...
AOB +2ABO = 180° . . . . . sum of angles in the triangle
100° +2ABO = 180° . . . . . . use the given value
50° +ABO = 90° . . . . . . . . divide by 2; next, subtract 50°
∠ABO = 40°
URGENT PLZ!! Drag the correct transformation into the box to match the definition. [BLANK]... moves points across a specified line so that the line is the perpendicular bisector of each line segment connecting corresponding preimage and image points. Translation Rotation Reflection
Answers
Answer:
Reflection.
Step-by-step explanation:
Reflection moves points across a specified line so that the line is the perpendicular bisector of each line segment connecting corresponding pre-image and image points.
On the other hand, "Translation" moves points the same distance along lines that are parallel to each other while "Rotation" moves points along concentric circles and through the same angle of rotation.
At an angle of 90°, a line of reflection intersects the line segments connecting corresponding points of the pre-image under a reflection.
Basically, a reflection allows us to flip an object or figure across a line, point or plane without any change in its shape or size.
Hence, to reflect an object or a figure such as a triangle simply means that its mirror image would be produced with respect to a line; this line is generally referred to as the line of reflection.
answer these questions with Always,never it sometimes
An exterior angle of a triangle is equal to the sum of its adjacent angle and one remote interior angle
An isosceles triangle is an equilateral triangle
An equilateral triangle is an isosceles triangle
Answers
Answer:
sometimes. exterior angle of a triangle is equal to the sum two remote interior angles. But in a special case when the adjacent angle is equal to the remote interior angle, it is true
sometimes. Only when the isosceles triangle is equilateral
always. This is always true by definition.
A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 982 and a standard deviation of 198. Scores on the ACT test are normally distributed with a mean of 19.6 and a standard deviation of 4.5. It is assumed that the two tests measure the same aptitude, but use different scales.If a student gets an SAT score that is the 20-percentile, find the actual SAT score.SAT score =What would be the equivalent ACT score for this student?ACT score =If a student gets an SAT score of 1437, find the equivalent ACT score.ACT score =
Answers
Answer:
Actual SAT Score = 815.284
Equivalent ACT Score = 15.811
The equivalent ACT Score = 29.95
Step-by-step explanation:
From the given information:
Scores on the SAT test are normally distributed with :
Mean = 982
Standard deviation = 198
If a student gets an SAT score that is the 20-percentile
Then ;
P(Z ≤ z ) = 0.20
From the standard z-score for percentile distribution.
z = -0.842
Therefore, the actual SAT Score can be computed as follows:
Actual SAT score = Mean + (z score × Standard deviation)
Actual SAT score = 982 + (- 0.842 × 198)
Actual SAT score = 982 + ( - 166.716)
Actual SAT score = 982 - 166.716
Actual SAT Score = 815.284
Scores on the ACT test are normally distributed with a mean of 19.6 and a standard deviation of 4.5.
Mean = 19.6
Standard deviation = 4.5
Equivalent ACT Score = 19.6 + (- 0.842 × 4.5)
Equivalent ACT Score = 19.6 + ( - 3.789)
Equivalent ACT Score = 15.811
If a student gets an SAT score of 1437, find the equivalent ACT score.
So , if the SAT Score = 1437
Then , using the z formula , we can determine the equivalent ACT Score
[tex]z = \dfrac{X - \mu}{\sigma}[/tex]
[tex]z = \dfrac{1437 - 982}{198}[/tex]
[tex]z = \dfrac{455}{198}[/tex]
z =2.30
The equivalent ACT Score = 19.6 + (2.30 × 4.5)
The equivalent ACT Score = 19.6 + 10.35
The equivalent ACT Score = 29.95
What is the best first step to begin simplifying the expression - } (x + 4) = 6?
A.
Distribute -1/2
B.
Distribute -2
c. Multiply both sides of the equation by-2.
D.
Subtract 4 from both sides of the equation.
E.
Subtract 6 from both sides of the equation.
Answers
X+4=6
X=6-4
X=2
Match the property of equality with the corresponding definition given that a = b.
multiplication property of equality
a+c=b+c
subtraction property of equality
a(c) = b(c)
addition property of equality
a-c=b-c
division property of equality
ale = b c
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]a = b[/tex]
Required
Match proper type of equality
Each of the equality properties can easily be identified with their names; For multiplication property of equality, same term must be multiplied on both sides;
For addition, same term must be added on both sides;
Same thing implies for division and subtraction
Multiplication:
[tex]a(c) = b(c)[/tex]
Subtraction
[tex]a - c = b - c[/tex]
Addition
[tex]a + c = b + c[/tex]
Division
[tex]a/c = b/c[/tex]
In your own words what is the absolute value of a number?
Answers
Answer:
see below
Step-by-step explanation:
The absolute value is the distance from zero.
It is the non-negative quantity.
write each number as a reduced fraction or mixed number. A. 16/24 B. 15/24. C. 4%
Answers
Answer:
A.1/3 B.5/8 C.1/25
Step-by-step explanation:
just simplify it down to the lowest
Answer:
Ä. 16/24 as reduced fraction = 2/3
B. 15/24 as reduced fraction= 5/8
Graphically, a point is a solution to a system of two inequalities if and only if the point lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality. lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality. lies in the shaded regions of both the top and bottom inequalities. does not lie in the shaded region of the top or bottom inequalities.
Answers
Answer:
lies in the shaded regions of both the top and bottom inequalities
Step-by-step explanation:
For a point to be a solution of two inequalities, it must lie in both solution sets. It ...
lies in the shaded regions of both the top and bottom inequalities
We want to define when a point is a solution of a system of inequalities, we will see that the correct option is: "lies in the shaded regions of both the top and bottom inequalities."
Just like in a system of equations, a solution of the system is must be a solution of both equations.
Here, a solution ot the system of inequalities must be at the same time a solution of each inequality.
Remember that the solutions of the inequalities are represented by shaded regions, so the point must belong to the intersection of the two shaded regions.
So the correct option is:
"lies in the shaded regions of both the top and bottom inequalities."
If you want to learn more, you can read:
https://brainly.com/question/20067450
Write the equation of the line in fully simplified slope - intercept form
Answers
Answer:
y = -2/5x - 4
Step-by-step explanation:
which of the following statements are true? check all that apply. check all that apply. the volume of a cube depends on the lenght of its sides. a cube with a side length of 10 feet has a volume of 1,000 cubic feet. a cube with a side length of 2 feet has a volume of 8 cubic feet.
A. volume(2)=8
B. volume (8)=2
C. volume (10)=1,000
D. volume (1,000)=10
Answers
Answer:
Option A and Option C
Step-by-step explanation:
I need help with 20-26 evens
Answers
this is simplify? I think it's simplify so I can give you an answer
4. Find the height, x, of the building
Urgent please help
Answers
Answer:
D
Step-by-step explanation:
The function you need to use is the Tan(39).
Tan(x) = opposite / adjacent.
The opposite side does not make up the reference angle.
In this case, the opposite side = x
The adjacent side is not the hypotenuse and does make up the reference angle (which is not the right angle).
opposite = x
adjacent = 68
Tan(39) = x / 68 Multiply by 68
68*Tan(39) = x Divide by Tan(39)
Tan(39) = 0.9098
68*.9098 = x
x = 55.07
Hugh works in a Fish Packing Plant at Rocky Bay in British Columbia. He work 30 hours per week, 40 weeks a year, and earns $12.08 per hour. Find his weekly gross salary. Find his weekly net pay (deduct Federal, Provincial Income tax, CPP, EI Premiums).Calculate his yearly net pay and Calculate the percent of his gross income that is deducted each year.
Answers
Answer:
The answer is below
Step-by-step explanation:
a) Weekly gross salary is the product of the number of hours worked per week and earnings per hour. It is given as:
Weekly gross salary = number of hours worked per week × earnings per hour = 30 hrs / week × $12.08/hr = $362.4
b) Using claim code 2 for the weekly gross salary, Federal tax = $16.05, CPP = $14.61, provisional income tax = $0.6 and EI = $6.27
Total deductions = $16.05 + $14.61 + $0.6 + $6.27 = $37.53
Weekly net pay = Weekly gross salary - Total deductions = $362.4 - $37.53 = $324.87
c) Yearly net pay = weekly net pay × number of weeks in a year = $324.87 × 52 = $16893.24
d) percent of his gross income deducted yearly = weekly deductions / weekly gross income × 100% = 37.53 / 362.4 × 100% = 10.4%
Find an expression which represents the sum of (6x + 9y) and (7x – 4y) in
simplest terms.
Answer:
Submit Answer
attempt out of 2
0
Answers
Answer:
[tex]6x + 9y + 7x - 4y \\ 6x + 7x + 9y - 4y \\ 13x + 5y \\ thank \: you[/tex]
Answer: 13x+5y
Step-by-step explanation:
Where is the blue dot on the number line? (please hurry!)
Answers
Answer:
The point is at -0.58
Step-by-step explanation:
If you count each line, they each represent 0.1, so -0.55, -0.56, -0.57 and -0.58 is the 4th line
Answer:
-0.58
Step-by-step explanation:
Each division is 1/100 or 0.01
-(0.55 + 0.01) = - 0.56
-(0.56 +0.01) = -0.57
-(0.57 + 0.01) = -0.58
S(t) = -105t + 945 to determine the salvage value, S(t), in dollars, of a table saw t years after its purchase. How long will it take the saw to depreciate completely? A. 11 years B. 8 years C. 7 years D. 9 years
Answers
Answer:
D
Step-by-step explanation:
When something depreciates completely, it will have a total value of 0 dollars. Therefore, set the equation to zero and solve for t to find the years.
[tex]S(t)=-105t+945\\0=-105t+945\\-105t=-945\\t=9[/tex]
Therefore, the table saw will completely depreciate after 9 years.
Answer:
[tex]\large \boxed{\sf \bold{D.} \ 9 \ years}[/tex]
Step-by-step explanation:
[tex]S(t) = -105t + 945[/tex]
For the value to depreciate completely, the amount has to be equal to 0 dollars.
Set S(t) to 0.
[tex]0 = -105t + 945[/tex]
Solve for the time t.
Subtract 945 from both sides.
[tex]0 -945= -105t + 945-945[/tex]
[tex]-945=-105t[/tex]
Divide both sides by -105.
[tex]\displaystyle \frac{-945}{-105}=\frac{-105t}{-105}[/tex]
[tex]9=t[/tex]
It will take 9 years for the saw to depreciate completely.
Weather balloons burst at an altitude of 27.5 km. What is the altitude in meters?
Answers
Answer:
27500
Step-by-step explanation:
meters are 100 times more than kilometers hope this helps:)
How many subsets are there in {p, e, t}?
Answers
Answer:
Step-by-step explanation:
Number of subset= [tex]2^{n}[/tex]
Her, n is the number of elements in the set.
{p , e , t}
n = 3
Number of subset = 2³ = 2 * 2 *2 = 8
Simplify the following: (74) (6/4)
Answers
Answer:
111
Step-by-step explanation:
Reducing the given expression:
74(6) 37(6) 111
--------- = ---------- = ---------- = 111
4 2 1
Answer:
[tex] \boxed{111}[/tex]Step-by-step explanation:
[tex] \mathsf{(74) \times ( \frac{6}{4} )}[/tex]
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.
⇒[tex] \mathsf{ \frac{74 \times 6}{4 \times 1} }[/tex]
⇒[tex] \mathsf{ \frac{444}{4} }[/tex]
⇒[tex] \mathsf{111}[/tex]
[tex] \mathrm{Hope \: I \: helped !} [/tex]
[tex] \mathrm{Best \: regards !}[/tex]