Answer:
B
Step-by-step explanation:
Area = L * W
L = 12 m
W = 10 m
Area = 12 m * 10 m
Area = 120 m^2
Answer;
A. 120m²
Step-by-step explanation:Given That :-
Length of rectangle = 12mWidth of rectangle = 10mTo find :-
Area of rectangle.Solution :-
[tex]\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} \sf Length = 12m\: \: \: \: \: \: \: \: \: \: \: \\ \begin{gathered}\begin{gathered}\boxed{\begin{array}{}\bf { \red{}}\\{\qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{}\\ { \sf{ }}\\ { \sf{ }} \\ \\ { \sf{ }}\end{array}}\end{gathered}\end{gathered} \sf \: Width = 10m \end{gathered}\end{gathered} \end{gathered} \end{gathered}[/tex]
The area of a rectangle is equal to the length times the width.
Length × WidthSubstitute the values of the length l =12 and width w = 10 into the formula for the area of a rectangle.
12m × 10mMultiply 12m by 10m
12m × 10m= 120m²Hence, Area of rectangle is 120m² which means option A. is correct answer.
Complete equation describing how X and Y are related.
Answer:
[tex]2[/tex]
Step-by-step explanation:
Every time the x-value increases by 1, the y-value increases by 2. Therefore, the slope of the line must be equal to [tex]2/1=\boxed{2}[/tex] (rise/y-values over run/x-values). In slope-intercept form [tex]y=mx+b[/tex], [tex]m[/tex] represents the slope of the line, [tex]b[/tex] represents the y-intercept, and [tex](x,y)[/tex] represents any point the line passes through.
Since [tex]m[/tex] represents the slope of the line, the value of
While the question only asks for this value, it's good to note that the equation of the function is [tex]y=2x+7[/tex] (find 7 by substituting any ordered pair in the table with [tex]m=2[/tex]).
Answer:
y = 2x + 7
Step-by-step explanation:
y = mx + b
For every increase of 1 in x,
there is an increase of 2 in y
m = 2
When x is 0,
y is 7
b = 7
y = 2x + 7
The hardware store where you work charge 80 cents including tax, for a pound of nails. A customer purchases 5 3/4 pound of nails. How much should you charge the customer for nails?
Answer:
$4.60
Step-by-step explanation:
1 lb ---> 80 cents
5 3/4 lb ---> 5 3/4 * 80 cents
[tex] 5 \dfrac{3}{4} \times 80 = [/tex]
[tex] = \dfrac{23}{4} \times \dfrac{80}{1} [/tex]
[tex] = \dfrac{23 \times 80}{4 \times 1} [/tex]
[tex] = \dfrac{1840}{4} [/tex]
[tex] = 460 [/tex]
460 cents = $4.60
2^5 + 10=?????????????
Answer:
Answer is 42
Step-by-step explanation:
2^5 + 10
2*2*2*2*2 + 10
32 + 10
42
Find the y-coordinates of the points that are 10 units away from the point (-1,6) that have an x-coordinate of 7
Answer:
y = 0 or 12
Step-by-step explanation:
[tex]Let \ (x _ 1 , y _ 1) \ and \ (x _ 2 , y _ 2 ) \ be \ the \ coordinates \ \\\\Distance \ between \ the \ points = \sqrt{(x_2 - x_1)^2 + (y_ 2 -y_1)^2}\\\\[/tex]
[tex]Given : distance = 10 \ units , (x_1 , y _ 1 ) = ( - 1 , 6 ) \ and \ (x_2 , y _ 2 ) = (7 , y )\\\\[/tex]
[tex]Substituting \ the \ values \ \\\\10 = \sqrt{(7 -(-1))^2 + (y - 6)^2}\\\\10 = \sqrt{(7 + 1)^2 + ( y - 6 )^2}\\\\10 = \sqrt{8^2 + ( y - 6)^2 }\\\\10 = \sqrt{64 + (y -6)^2 } \\\\Squaring \ both \ sides \\\\10^2 = (\sqrt{64 + (y -6)^2 })^2\\\\100 = 64 + ( y -6)^2\\\\100 - 6 4 = ( y -6)^2 \\\\36 = ( y - 6 )^2\\\\\sqrt{36} = y - 6\\\\\pm 6 = y - 6 \\\\So, \\\\\ y - 6 = 6 => y = 12\\\\\ \ \ \ y - 6 = - 6 => y = 0[/tex]
The y coordinate of the point is P ( 7 , 12 ) or P ( 7 , 0 ) where the distance of the point is 10 units from Q ( -1 , 6 )
What is the distance of a line between 2 points?The distance of a line between 2 points is always positive and given by the formula
Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )
The distance between A and B is D , and the distance D is
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
Given data ,
Let the first point be P ( 7 , y )
Let the second point be Q ( -1 , 6 )
Now , the distance between P and Q is D = 10 units
So , on simplifying the equation , we get
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
10 = √ [ ( 7 - ( - 1 ) )² + ( y - 6 )² ]
Squaring both sides of the equation , we get
100 = ( 8 )² + ( y - 6 )²
Subtracting 64 on both sides of the equation , we get
( y - 6 )² = 36
Taking square roots on both sides , we get
y - 6 = ±6
Adding 6 on both sides , we get
y = +6 + 6 = 12
or y = -6 + 6 = 0
So , the coordinates of the point P is P ( 7 , 12 ) or P ( 7 , 0 )
Hence , the distance formula is solved and coordinates of the point P is P ( 7 , 12 ) or P ( 7 , 0 )
To learn more about distance between 2 points click :
https://brainly.com/question/18234495
#SPJ2
The times of first sprinkler activation for a series of tests with fire prevention sprinkler systems using an aqueous film-forming foam were (in sec)
27 41 22 27 23 35 30 33 24 27 28 22 24
(see "Use of AFFF in Sprinkler Systems," Fire Technology, 1976: 5). The system has been designed so that true average activation time is at most 25 sec under such conditions. Does the data strongly contradict the validity of this design specification? Test the relevant hypotheses at significance level .05 using the P-value approach.
Answer:
We reject H₀, we have enough argument to explain that the production line is out of control. Is producing sprinkler out of specification
Step-by-step explanation:
Data information:
27 41 22 27 23 35 30 33 24 27 28 22 24
sample size n = 13
sample mean x = 27.92
sample standard deviation s = 5.39
The manufacturing process under control will always produce an output with normal distribution, in this case as n < 30 we will use t-student distribution in our test.
Hypothesis Test:
Null Hypothesis H₀ x = 25
Alternative Hypothesis Hₐ x > 25
The Alternative hypothesis indicates that the test is a one-tail test.
Significance level is α = 0.05
From z-table and for α = 0.05 and df = n - 1 df = 13 - 1 df = 12
p-value = 1.782
t(s) = ( x - 25 ) / s/√n
t(s) = ( 27.92 - 25 )/ 5.39/√13
t(s) = 2.92*3.605/ 5.39
t(s) = 1.95
From t-table df = 12 we find that 1.95 corresponds to a p-value < 0.05
then as p-value < 0.05 we are in the rejection region for H₀ then we reject H₀. We can deduce that the production line for sprinkler is given products out of specification
Three bags contain 3 red, 7 black; 8 red, 2 black, and 4 red & 6 black balls
respectively. 1 of the bags is selected at random and a ball is drawn from it. If the ball
drawn is red, find the probability that it is drawn from the third bag.
Answer:
[tex]Probability = \frac{4}{15}[/tex]
Step-by-step explanation:
B1 = first bag
B2= second bag
B3 = third bag
Let A = ball drawn is red
Since, there are three bags.
Probability of choosing one bag= P(B1) = P(B2) = P(B3) = 1/3.
From B1: Total balls = 10
3 red + 7 black balls.
Probability of drawing 1 red ball from it , P(A) = 3/10.
From B2: Total balls = 10
8 red + 2 black
Probability of drawing 1 red ball is, P(A) = 8/10
From B3 : Total Balls = 10
4 red + 6 black
Probability of drawing 1 red ball, P(A) = 4/10 .
To find Probability given that the ball drawn is red, that the ball is drawn from the third bag by Bayes' rule.
That is , P(B3|A)
[tex]=\frac{\frac{1}{3} \times \frac{4}{10}} { \frac{1}{3} \times \frac{3}{10} + \frac{1}{3} \times\frac{8}{10} + \frac{1}{3} \times \frac{4}{10}}[/tex]
[tex]=\frac{4}{30} \times \frac{30}{15}\\\\=\frac{4}{15}[/tex]
Therefore, the probability that it is drawn from the third bag is 4/15.
Answer:
4/15
Step-by-step explanation:
Solution of conditional probability problem:
Given:
Bags (3R,7B), (8R,2B), (4R,6B)
Let
P(R,i) = probability of drawing a red AND from bag i
P(R, 1) = 3/10 * (1/3) = 3/30
P(R, 2) = 8/10 * (1/3) = 8/30
P(R, 3) = 4/10 * (1/3) = 4/30
Let
Let P(R) = probability of drawing a red from any bag
P(R) = sum P(R,i) for i = 1 to 3 using the addition rule
= 3/30 + 8/30 + 4/30
= 15/30
= 1 / 2
Conditional Probability of drawing from the third bag GIVEN that it is a red
= P(3 | R)
= P(R, 3) / P(R)
= 4/30 / (1/2)
= 8/30
= 4 / 15
(Since all bags contain 10 balls, by intuition, 4 red from third / 15 total red = 4/15)
how many comparisons are needed to merge two ordered lists
[2, 9, 12, 17, 20] and [1, 4, 5, 6, 7, 8, 23]
how many comparisons are needed to merge two ordered lists
[2, 9, 12, 17, 20] and [1, 4, 5, 6, 7, 8, 23]
There are 11 comparisons to merge the two lists
How to determine the number of comparisons?The ordered lists are given as:
[2, 9, 12, 17, 20] and [1, 4, 5, 6, 7, 8, 23]
The number of elements in both lists are:
5 and 12
So, the number of comparison is:
Comparison = 5 + 7 - 1
Evaluate
Comparison = 11
Hence, there are 11 comparisons to merge the two lists
Read more about ordered lists at:
https://brainly.com/question/13326119
#SPJ6
GIVING OUT BRAINLIEST HELP MEE PLEASE!! 10 PNTS ASWELL!!
Answer:
option 2
Step-by-step explanation:
4)
Equation of a Circle with centre ( a , b) and radius r
[tex](x - a)^2 + (y-b)^2 = r^2\\[/tex]
Given centre = ( -3 , 4), r = 5
Therefore Equation
[tex](x - ( - 3))^2 + (y-4)^2 = 5^2\\\\(x + 3)^2 + (y-4)^2 = 25[/tex]
5)
Centre = ( 2 , 0) , radius, r = 3
[tex](x - 2)^2 + (y-0)^2 = 3^2\\\\(x -2)^2 + y^2 = 9[/tex]
What Are the values of x and y?
Answer:
y = 72.5
x = 35.
Step-by-step explanation:
First Off, Let's Divide the question.
Let's Find the variable y :
there are 2 y(s), so it is 2y.
equation: 2y +35 =180.
I put 180 because A straight Line is always 180.
2y+35=180
1. Subtract both sides.
2y = 145
y = 72.5
Next,Find x
So y + y + x = 180.
We already know y, which is 72.5
72.5 +72.5 + x = 180
72.5 +72.5
x + 145 = 180
x = 35.
Hope This Helps!
Which graph represents the function f(x) = 2^x+ 3?
Answer:
Where's the graph?
Step-by-step explanation:
Divide 259875 by the smallest number so that the quotient is a perfect cube. Also find the cube root of the quotient
Answer: The smallest number by which 259875 should be divided to make it a perfect cube is 77.
Step-by-step explanation:
Let's expand the number 259875 into prime factors:
259875 = 3³ ∙ 5³ ∙ 7 ∙ 11
Since in the factorization, 7 and 11 appears only one time, we must divide the number 259875 by 7 · 11 = 77, then the quotient is a perfect cube.
259875 ÷ 77 = 3375
[tex]\sqrt[3]{3375} =\sqrt[3]{3^{3} \cdot 5^{3} } =3 \cdot 5 = 15[/tex]
An umbrella sprinkler is positioned on a ceiling at a point whose x- coordinate is 0. Negative values of a indicate distances, in meters, to the left of the position of the sprinkler, and positive values indicate distances to the right. The path of water from the sprinkler can be modeled by the quadratic function
w(x) = -1/4(x^2 -12 ) where w(x) is the height of the water, in meters, at position x.
Required:
Which equivalent expressions displays the height of the ceiling as a constant or coefficient?
Answer:
-1/4x² + 3
Step-by-step explanation:
Given that:
Path of sprinkler is modeled by the quadratic function :
w(x) = -1/4(x^2 -12 )
w(x) = height of the water, in meters, at position x
The height of ceiling as a constant or Coefficient = w(x)
Expanding w(x)
-1/4(x^2 -12 )
-1/4 * x² + 1/4 * 12
-1/4x² + 3
The height of ceiling is -1/4x² + 3
Fourth-grade classrooms in several elementary schools are randomly assigned to different antibullying training programs at the beginning of the school year. The school district keeps track of the number of incidents of bullying in each classroom.
This study is an example of __________ study.
Answer:
experimental study.
Step-by-step explanation:
This study is an example of an experimental study.
The type of training program is the independent variable. The number of incidents of bullying is the dependent variable.
Since the participants of our study are affected directly in the research (the fourth-grade children) by not training against anti-bullying, the study is experimental research.
An independent variable is one that is somehow controlled or adjusted to evaluate the effects of a different variable, the dependent. Since we control whether we do bullying training here or not, our kind of training program is our independent variable, which is our dependent variable since we measure its impact on instances of bullying no.
Anyone please help, how to do it
Answer:
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. Tony bought a new car at a cost of $20,000. The value of the car decreases by approximately 12% each year. Formulate the equation that gives the value, A(+), of the car xyears since Tony bought the car. A(t)-
9514 1404 393
Answer:
A(x) = 20000(0.88)^x
Step-by-step explanation:
The general form of these exponential equations is ...
A(x) = a·b^x
where 'a' is the initial value, and b is the annual growth factor. x is the elapsed time in years.
The growth factor is ...
growth factor = 1 + growth rate
Here, the growth rate per year is -12%, so the growth factor is ...
b = 1 -12% = 88% = 0.88
Of course, the initial value is a=20,000, so the equation is ...
A(x) = 20000(0.88)^x
2 divided by 0.75 full divison work i dont just need the answer
Answer:
0.375
Step-by-step explanation:
Check the picture below.
whenever we do division of decimals, we have to mind how many decimals are there on each amount, the dividend as well as the divisor, that way we pad with zeros the other amount accordingly whilst losing the dot, for example, to say divide 3 by 0.123, 3 has no decimals, whilst 0.123 has three decimals, so we can just divide 3000 by 0123, so dividing 3 by 0.123 is the same as dividing 3000 by 123. Another example, if we were to divide say 23.761 by 555.89331, the dividend has 3 decimals, that means 3 zeros the other way, the divisor has 5 decimals, that means 5 zeros the other way while losing the dots, so we'd end up dividing 2376100000 by 55589331000, which we can simplify to just 2376100 by 5589331, as you can see in the picture in this case.
Given tan(A)=5 and tan(B)=9, find the value of tan(A−B).
Answer:
tan= 4
Step-by-step explanation:
This is actually very easy, basically u have 5 - 9.
So you have positive nine and a negative sign, which is used for subtraction, so in the integers rule, positive- negative= negative
so its 4.
I HOPE ITS RIGHT, IM 11
If tan(A)=5 and tan(B)=9 the value of tan(A−B) will be -0.086.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between the sides and angles of a right-angle triangle. The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
It discusses how triangle side lengths and angles relate to one another. Using trigonometric formulas and functions, it is mostly used to determine the unknown side lengths and angles of a right-angled triangle. Six different functions are frequently employed in trigonometry.
It is given that tan(A)=5 and tan(B)=9
As we know,
[tex]\rm tan(A -B) = \frac{tan A - tan B}{1- tan A tan B}[/tex]
Substitute the given values we get,
tan(A -B) = (tan A - tan B)/(1 + tan A tan B)
tan(A -B) = (5-9) / (1 + 5 × 9)
tan(A -B) = (-4) / (1 + 45)
tan(A -B) = -4 / 46
tan(A -B) = -2/23
tan(A -B) = - 0.086
Thus ,if tan(A)=5 and tan(B)=9 the value of tan(A−B) will be -0.086.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ2
Solve for X in the triangle. Round answer to the nearest TENTH (GIVING BRAINLEST TO BEST ANSWER :D )
Answer:
What ever.....
tan46 = x/8
x = 8×tan46
x = 8,28424251
Tập nghiệm của phương trình 2^x=-1 là
Step-by-step explanation:
Tập nghiệm của [tex]2^x=-1[/tex] là tập rỗng nha bạn. Vì 2 là số dương nên mũ mấy cũng dương hết.
pleaseeeee helpppppppppppp
9514 1404 393
Answer:
maximum height: 26.5 ftair time: 2.5 secondsStep-by-step explanation:
I find the easiest way to answer these questions is to use a graphing calculator. It can show you the extreme values and the intercepts. The graph below shows the maximum height is 26.5 ft. The time in air is about 2.5 seconds.
__
If you prefer to solve this algebraically, you can use the equation of the axis of symmetry to find the time of the maximum height:
t = -b/(2a) = -(40)/(2×-16) = 5/4
Then the maximum height is ...
h(5/4) = -16(5/4)² +40(5/4) +1.5 = -25 +50 +1.5 = 26.5 . . . feet
__
Now that we know the vertex of the function, we can write it in vertex form:
h(t) = -16(t -5/4)² +26.5
Solving for the value of t that makes this zero, we get ...
0 = -16(t -5/4)² +26.5
16(t -5/4)² = 26.5
(t -5/4)² = 26.5/16 = 1.65625
Then ...
t = 1.25 +√1.65625 ≈ 2.536954
The cannon ball is in the air about 2.5 seconds.
PLSSS HURRY AND NO LINKS!!
The strongest winds of Hurricane Isabel extended 50 miles in all directions from the center.
What is the area of the hurricane in square miles? Leave your answer in terms of pi.
Answer:
Area of the hurricane = 7853 or 3.14 x 50 squared
Miranda's financial aid stipulates that her tuition not exceed $1500. If her college charges a $55 registration fee for the term plus $275 per course, what is the greatest number of courses for which Miranda can register? Miranda can register for at most how many courses?
Answer:
5
Step-by-step explanation:
275x5= 1375
1375+55=1430
what are two solutions of x^2-2x-4=-3+9
Answer:
x^2-2x=10
a few more steps...
the answer is 1+the square root of 11
if 1 foot= 0.37 metres and 1 miles = 5180 feet, find the number of kilometres in 15 miles
Select the correct answer from each drop-down menu.
Some of the images in the diagram are images of polygon 1 from similarity transformations ?
Polygon and polygon are similar to polygon 1.
Answer: 3 and 4
Step-by-step explanation:
Help is very much needed!!
Answer:
DE = 24
Step-by-step explanation:
The midsegment DE is half the length of the third side AC , that is
DE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 48 = 24
How do I convert 345 from base 8 to binary and then hexadecimal?
Answer:
(345)8 = (11100101)2
(11100101)2 = E5
Step-by-step explanation:
Step 1: Look up each octal digit to obtain the equivalent group of three binary digits
(3)8 = (011)2
(4)8 = (100)2
(5)8 = (101)2
Step 2: Group each value of step 1 to make a binary number:
011 100 101
So, (11100101)2 is the binary equivalent to (345)8
Step 3: Converting the binary number to hexadecimal.
Write down the binary number:
11100101
Step 4: Group all the digits in sets of four starting from the LSB (far right). Add zeros to the left of the last digit if there aren't enough digits to make a set of four:
1110 0101
Step 5: Use the table below to convert each set of three into an hexadecimal digit:
1110 = E, 0101 = 5
So, E5 is is the hexadecimal equivalent to the decimal number 11100101.
HELP THIS IS DUE SOON MATH
Answer: the answer is x= -11.
- 10 + x < - 2 what is the solution of the inequality shown below
Answer:
x<8
Step-by-step explanation:
What is the equation of the line that passes through the point (-7, -4) and has a
slope of 1?
Answer:
Y=x+3
Step-by-step explanation:
we have :
x1= -7
y1= -4
m=1
as we know Y-y1=m(X-x1)
Y+4=(X+7)
Y+4=X+7
Y=X+7-4
Y=X+3