Answer:
W ≈ 5.2 cm
Step-by-step explanation:
Represent the length and width by L and W respectively.
Then L * W = 81 cm^2, and L = 3W.
Substituting 3W for L in the first equation, we get:
3W * W - 81 = 0, or 3W^2 - 81 = 0.
To make it easier to find the final answer, rewrite 3W^2 - 81 = 0 as
81
W^2 = ------- = 27
3
Then W (the width) is the positive square root of 27, or W ≈ 5.2 cm
Answer:
60.75 ≈ 60.8
Step-by-step explanation:
4u-> 81
1u -> 20.25 (width)
3u-> 60.75 (length)
Which graph models the equation y = 8(0.8)x?
Answer:
C
Step-by-step explanation:
Plug in two different numbers in the x coordinate and see if the y coordinate matches up with the same line.
Stacy invited six friends to her 5th birthday party. How many ways can Stacy's mom arrange the
children around the table for cupcakes and ice cream?
(Answer with no decimals)
Answer:
120 ways
Step-by-step explanation:
Here, we are looking at arranging around a table
To do this, we sit down one of the children and arrange the remaining around the one that we have sat down
In scenario like this, the number of possible arrangement ways will be;
(n-1)! ways
where n is the number of children which is 6 in this case
So the possible number of ways will be;
(6-1)! = 5! = 120 ways
What is the range for this set of data? 7, 15, 12Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62, 88, 90, 100, 96, 89, 98 Which statements are true? Check all that apply.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
Arrange the value into the ascending order:
[tex]62, 88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]
Calculating the Range:
[tex]= Greatest - Lowest\\\\= 100 - 62\\\\ = 38[/tex]
Outlier = This might be the value "far" from other data values= 62
The range of scores would be, sans outlier,
[tex]88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]
Calculating the range without outlier [tex]= 100 - 88 = 12[/tex]
Inter Quartile Range [tex]= Q_3 - Q_1[/tex]
[tex]IQR = 98 - 89 = 11[/tex]
Calculating the IQR without outlier [tex]= 99 - 89.5 = 9.5[/tex]
Therefore,
Option a is "True".
Option b is "True".
Option c is "True".
Option d is "False".
Option e is "False".
Option f is "True".
Complete the input-output table for the function y=3^x
X Y
-2 1/9
-1 1/3
0 1
1 3
2 9
3 a
4 b
A=?
B=?
9514 1404 393
Answer:
A = 27
B = 81
Step-by-step explanation:
Fill in the x-value and do the arithmetic.
a = 3^3 = 27
b = 3^4 = 81
If I have a right triangle ab=12 and ac=15 what is BC
Answer:
9
Step-by-step explanation:
B²=H²-P²
B²=15²-12²
B²=81
√B=9
therefore it's 9
1. A square is lengthened by 6 units in one direction and by 5 units in the other
direction to make a rectangle, as shown in the diagram. The length of the side
of the original square is x units. What is the area of the whole new rectangle?
Answer:
a = x² + 11x + 30
Step-by-step explanation:
a = (x + 5)(x + 6)
multiply each term in the first set of parenthesis by each term in the second
a = x(x + 6) + 5(x + 6)
a = (x² + 6x) + (5x + 30)
combine like terms
a = x² + 11x + 30
Which inequality is shown in the graph?
Answer:
answer is D.Y=>X^2-3
Step-by-step explanation:
use desmos . com and go to graphing calculator. plug formula in.
Answer:
b
Step-by-step explanation:
okidoki
what is the scale factor from ABC to DEF?
Answer:
C
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, so
scale factor = [tex]\frac{EF}{BC}[/tex] = [tex]\frac{11}{66}[/tex] = [tex]\frac{1}{6}[/tex] → C
Marathon Digital Movies is having a sale. Customers can download 13 movies for $15.99. How much does each movie cost with the sale?
Given:
Cost of 13 movies = $15.99
To find:
Cost of each movie
Steps:
Lets assume the cost of each movie as 'x'.
So,
[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]
[tex]1.23 = x[/tex]
[tex]x = $1.23[/tex]
Therefore, the cost of one movie is 1.23 dollars
HAPPY TO HELP :)
If you need more help, feel free to ask
A pyramid is 24ft tall. A scall model has a height of 2 ft and is 1 foot wide at the base. Identify the scale factor that was used to create the model
Answer:
1 : 12
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
24/2 = 12
1 : 12
Part B
If Diana spends 25 minutes running at the gym, how many minutes does she spend lifting weights?
Answer:
please write in the comments ,the total minutes she spent in the gym , then only we can solve the answer , without total minutes we cannot solve this question
Answer:
13 minutes lifting weights.
Step-by-step explanation:
Diana spent a total of 25 minutes and spent 12 more minutes running than she did lifting weights. So if you subtract 25 from 12 you get 13.
Factor completely. 486 +108 x + 6 x^2=
Answer:
[tex]6(x+9)^{2}[/tex]
Step-by-step explanation:
6 x^2+108 x +486
6(x^2+18 x +81)
6(x+9)(x+9)
[tex]6(x+9)^{2}[/tex]
Answer:
[tex]6(9+x {)}^{2} [/tex]
Step-by-step explanation:
[tex]486+108x+6x ^{2} [/tex]
[tex]6 \times 81+108x+6 {x}^{2} [/tex]
[tex]6(81+18x+ {x}^{2} )[/tex]
[tex]6(9+x {)}^{2} [/tex]
Hope it is helpful...Question 2 of 10
If you apply the changes below to the quadratic parent function, f(x) = x2,
what is the equation of the new function?
• Shift 1 unit left.
• Vertically stretch by a factor of 3.
• Reflect over the x-axis.
A. g(x) = -3(x-1)2
B. g(x) = -3(x + 1)2
C. g(x) = (-3x+1)
D. g(x) = -3x2 - 1
Given:
The parent function is:
[tex]f(x)=x^2[/tex]
This function shift 1 unit left, vertically stretch by a factor of 3 and reflected over the x-axis.
To find:
The function after the given transformations.
Step-by-step explanation:
The transformation is defined as
[tex]g(x)=kf(x+a)+b[/tex] ... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If k<0, then the graph of f(x) is reflected over the x-axis.
If 0<|k|<1, then the graph compressed vertically by factor |k| and if |k|>1, then the graph stretch vertically by factor |k|.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that the graph of f(x) shifts 1 unit left, so a=1.
The graph of f(x) vertically stretch by a factor of 3, so |k|=3.
The graph of f(x) reflected over the x-axis, so k=-3.
There is no vertical shift, so b=0.
Putting [tex]a=1,k=-3,b=0[/tex] in (i), we get
[tex]g(x)=-3f(x+1)+0[/tex]
[tex]g(x)=-3f(x+1)[/tex]
[tex]g(x)=-3(x+1)^2[/tex] [tex][\because f(x)=x^2][/tex]
Therefore, the correct option is B.
1. Two identical cubes each of total surface area of 6 cm2 are joined end to end. Which of the following is the total surface area of the cuboid so formed?
Answer:
10 cm³
Step-by-step explanation:
The total surface area of a cube = 6 cm²
The formula for the surface area of the cube is :
A = 6a², a is the side of the cube
6 = 6a²
a = 1 cm
Now, the length of the formed cuboid = 2 cm
Breadth = 1 cm
Height = 1 cm
Required volume of the formed cubiod is :
V = 2(lb+bh+hl)
Put all the values,
V = 2(2(1)+1(1)+2(1))
V = 10 cm³
So, the required volume of the formed cuboid is equal to 10 cm³
which of the following is equivalent to (i+3)+i(2i-4)
a. -5i + 1
b. -3i + 1
c. i-3
d. -i + 3
Answer:
answer is b
Step-by-step explanation:
i+3 -2 -4i = 1-3i
The expression that is equivalent to (i+3)+i(2i-4) is -3i + 1
Option B is correct
The given expression is:
(i+3)+i(2i-4)
Open the parenthesis by expanding the expression using the distributive rule
i + 3 + 2i² - 4i
Note that i² = -1
The expression, therefore, becomes:
i + 3 + 2(-1) - 4i
i + 3 - 2 - 4i
Collect like terms by bring the real parts together and the imaginary parts together
i - 4i + 3 - 2
Simplify to get the final expression
-3i + 1
Therefore, the expression that is equivalent to (i+3)+i(2i-4) is -3i + 1
Learn more here: https://brainly.com/question/12375854
Jeffrey made a scale drawing of a house and its lot. He used the scale 7 inches : 4 feet. If the actual width of the backyard is 48 feet, how wide is the yard in the drawing?
Answer:
12
Step-by-step explanation:
Jeffrey made scale drawings of the house a lot
He used a scale of 7 inches: 4 feet
The actual width of the backyard is 48
Therefore the width of the backyard in the drawing is
= 48/4
= 12
A 16ft ladder leans against the side of a house. The bottom of the ladder is 15 ft away from the side of the house. Find x, the angle of elevation of the ladder.
Round your answer to the nearest tenth of a degree.
PLZ HELP ASAP I WILL MARK BRAINLIEST
Answer:
x ≈ 69.6°
Step-by-step explanation:
The angle of elevation is the measure of angle x
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{16}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{15}{16}[/tex] ) ≈ 69.6°
The angle of elevation is 69.6° ( to the nearest tenth )
What is the value of b in the equation below?
9^-6 . 9^-2= a^b
A. -10, B. -6, C. 9, D. 16
Answer:
-10
Step-by-step explanation:
I need help!!!! :))))
Answer:
A=50.24
Step-by-step explanation:
Your diameter is 8, which makes the radius 4.
The area of a circle is
[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]
A=50.24
Below is a list of numbers. Use them to answer question 3.
2, 19, 31, 43, 59, 67
Question 3*
What type of numbers are shown?
A
B.
C.
composite numbers
even numbers
odd numbers
prime numbers
D.
Answer:
prime numbers
Step-by-step explanation:
not composite since,example, 2 is prime
not even since,example, 19 is odd
not odd since,example, 2 is even
Answer:
the answer is
prime numbers.
HELLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ASAP
Answer:
1 cm =5ft
2.7 cm =?
cross multiplying gives:
2.7 X 5= 13.5 ft
write equivalent fractions for 2 3/4+1 2/3 using a common denominator.
Answer:
3 2/3 will be 3 10/15
1 4/5 will be 1 12/15
Divide 3 into 15 and get 5; 5 x 2 = 10
Divide 5 into 15 and get 3; 3 x 4 = 12
So new equivalent fractions are 3 10/15
and 1 12/15
Step-by-step explanation:
6 + {1 + [−(3 + 5) − 8] + 2} + 10 pleasee!!!
[tex]6 + (1 + ( - (3 + 5) - 8) + 2 \\ 6 + (1 + 2 - 8) + 2 + 10 \\ 6 + ( - 5) + 2 + 10 \\ 6 - 5 + 2 + 10 \\ \\ = 13[/tex]
Final Answer: 13Step By Step Explanation:
Calculate: Calculate the sumCalculate: Calculate the sum or differenceRemove the parentheses: When there is a + in front of an expression in parentheses, the expression remains the sameCalculate: Calculate the sum or difference☆彡Hannahow to solve!? help pls I’ll give brainliest :))
Let me know if anything's unclear
Which expression is the result of factoring the expression below by taking out its greatest common factor?
4x^2+16x-4=?
Choose 1 answer:
A. 2x(2x^2+8x−2)
B. 2(2x^2+8x−2)
C. 4x(x^2+4x−1)
D. 4(x^2+4x−1)
Step-by-step explanation:
[tex]{\huge{\boxed{\sf{{Hello \: mate (. ❛ ᴗ ❛.) }}}}} \\ \\ {\huge{\underline{\bf{\pink{answer \:✓✓}}}}} \\ \\ \\\blue{Equation = > 4x ^{2} + 16x - 4 } \\ \\\mathcal\blue{ = > greatest \: common \: factor \: is \: 4} \\ \\ {taking \: out \: 4 \: as \: common \: } \\ \\ \huge\mathfrak\red{we \: left \: with} \\ \\ {{\boxed{\sf{\green{D.) 4(x^2 + 4x-1) \:✓✓✓✓}}}}}[/tex]
Find the greatest common factor of 15y^4 and 14y^2
Answer:
y^2
Step-by-step explanation:
Here, we want to get the greatest common factor
Looking at the two, 14 and 15 has no common factors
So, we shift focus to the y raised
We have this as ;
y^2( 15y^2 + 14)
Thus, y^2 is the common factor
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
36 km
24 km
52.5 km
58 km
Answer:
x = 36 km
Step-by-step explanation:
The triangle is a right triangle. To find x, apply Pythagorean theorem which is given as: c² = a² + b²
c = hypotenuse/longest leg = 45 km
a = x
b = 27
Thus:
45² = x² + 27²
2,025 = x² + 729
2,025 - 729 = x²
1,296 = x²
√1,296 = x
36 = x
x = 36 km
I need help solving these
The figure shown is composed of a right rectangular prism attached to a right triangular
prism. The surface area of the figure is 130 cm?
What is the value of n, in centimeters?
n cm
4 cm
2 cm
Use the number pad to enter your answer in the box.
5 cm
cm
5 cm
4 cm
9514 1404 393
Answer:
n cm = 3 cm
Step-by-step explanation:
The total surface area is the sum of the base areas and the lateral area. The base areas are the sum of the areas of the rectangle and triangle that define the shape of the base.
The rectangle has dimensions 5 cm by n cm. The triangle is 5-2 = 3 cm high and 4 cm at the base. Then the front face area is ...
A = lw + 1/2bh
A = (5 cm)(n cm) +1/2(4 cm)(3 cm) = (6 +5n) cm²
The lateral area is the product of the perimeter of the base and the depth of the prism.
A = Ph
A = (5 cm + n cm + 2 cm + 5 cm + 4 cm + n cm)(4 cm) = (64 +8n) cm²
The total surface area is the sum of the areas of the two bases and the lateral area:
130 cm² = 2(6 +5n) cm² +(64 +8n) cm²
130 = 76 +18n . . . . . . divide by cm², collect terms
54 = 18n . . . . . . . . . subtract 76
3 = n . . . . . . . . . . divide by 3
The value of n in centimeters is 3 cm.
Please help me with the right answer kitties it’s pretty easy but I can’t do it because of my lazy butt
Answer:
It is D and if you don't the y-values increase by 9.
