Answer:
91.5[tex]cm^{2}[/tex]
Step-by-step explanation:
The area of the rectangle:
a = lw
a =(21)(3) = 63
The area of the square:
a = lw
a = (5)(5) = 25
The area of a half circle:
a=[tex]\frac{\pi r^{2} }{2}[/tex]
a= [tex]\frac{3.14(1.5^{2}) }{2}[/tex]
a = [tex]\frac{3.14(2.25)}{2}[/tex]
a = [tex]\frac{7.065}{2}[/tex]
a = 3.5 rounded to the nearest tenth
63 + 25 + 3.5 =91.5
Please help!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
6
Step-by-step explanation:
Given an isosceles triangle the two sides opposite of congruent angles are equal to eachother, so you can create an equation setting the two sides equal to eachother and solve for x.
[tex]x+4=3x-8\\x=3x-12\\-2x=-12\\x=6[/tex]
The length of AC is simply x, therefore 6
Write an equation that represents the line.
Use exact numbers.
First point (1,2)
Second point is (4,4)
Answer: equation y= 3/2x+ 4/3
Let f(x)=147+2e−0.6x.
What is f(3)?
The value of f(3) is 147.3306
How to evaluate the function?The function is given as:
[tex]f(x)=147+2e^{-0.6x[/tex]
Substitute 3 for x
[tex]f(3)=147+2e^{-0.6*3[/tex]
Evaluate the product
[tex]f(3)=147+2e^{-1.8[/tex]
Evaluate the exponent
f(3)=147 + 2* 0.1653
Evaluate the sum
f(3) = 147.3306
Hence, the value of f(3) is 147.3306
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Find the largest 4-digit number which is a perfect square.
Answer:
To find the biggest 4-digit number which is a perfect square, we have to take the square of biggest 2-digit number. ∴ The biggest 4-digit number which is a perfect square = 9801.
Step-by-step explanation:
mark as brainlest answerAnswer:
9801
Step-by-step explanation:
well we know 100 squared is the first 5 digit square number so it must be 99 squared, which is 9801
How many solutions does this system of equations have? a. no solution b. 1 solution c. 2 solutions d. 3 solutions
This system of equations have infinite solution.
how many solution does this equation have?If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has infinitely many solutions.
Given that,
The system is 2x + y = 1 and 4x + 2y = 2. It is graphed below.
Solutions to a system are the intersection points. Since these two lines are the same line they intersect everywhere. There are infinitely many solutions.
2x+y = 1 ...........(1)
4x+2y = 2 .......(2)
Then from equation (2) dividing by 2 on both side
2x+y = 1
since both lines are same. They overlap to each other.it means the equation have many solution.
Hence,This system of equations have infinite solution.
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The above question is not complete.
How many solutions does this system of equations have?
(a) none
(b) exactly two
(c) infinitely many
(d) exactly one
Graph of a system of linear equations. Equation 1 is 2x plus y equals 1.. Equation 2 is 4x plus 2y equals 2. The graphs are the same line.
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.
Solid rock is an unlevered firm with an ebit of $10 million and an unlevered cost of capital of 12 percent. if the tax rate is 40 percent, what is the value of the firm?
The value of the firm is $50 million
How to determine the value of the firm?The given parameters are:
EBIT = $10 million
Tax Rate, Tc = 40%
Unlevered cost of capital, RU = 12%
The value of the firm is calculated as:
Value = EBIT*(1 - Tc)/Ru
This gives
Value = 10 million *(1 - 40%)/12%
Evaluate the expression
Value = 50 million
Hence, the value of the firm is $50 million
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Evaluate each of the following
1: -21 ÷ 7
In order to solve a problem that begins with a negative number and is divided by a positive number, the answer must also be negative.
Divide 21 ÷ 7
we get = 3
Mark it as negative number = -3
Hope this helps :)
Students in Ms. Valendra’s science class planted 13 in different places around the school yard. After one month, they measured the heights of the conifers. They rounded each measurement to the nearest 1/4
Considering the dot plot, it is found that the tallest conifer is 3.25 inches taller than the shortest conifer.
What does a dot plot shows?It shows, with dots, the number of times that each of the measures appears in a data-set.
Researching this problem on the internet, and finding the dot plot, we have that:
The shortest conifer measures 6 and 1/4 = 6.25 inches.The tallest conifer measures 9.5 inches.The difference is:
9.5 - 6.25 = 3.25 inches.
Hence the tallest conifer is 3.25 inches taller than the shortest conifer.
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Study island math pls helppp
I will love you if you answer
Answer:
Since <ABC ~= <DBE and <BAC ~= <BDE, the triangle s are similar by angle-angle.
Differentiation of x raised to the power of x
Answer:
[tex] {x}^{x} (1 + log(x)) [/tex]
I hope this helps you.
Use the elimination method to solve each linear system.
1) 2x-9y=-55 and x+2y=18
2) 3x+2y=7 and 6x-6y=-6
3) 6x+10y=2 and 7x+4y=-13
4) 3x+2y=5 and x-2y=-1
Abby mixes cinnamon and nutmeg to make 25g of a spice mix. Cinnamon costs 9 cents per gram, and nutmeg costs 12.5 cent per gram. The spice mix costs 9.7 cents per gram. How much of each spice does Abby need to use?
Answer:
1) x=4, y=7
2) x=1, y=2
3) x=-3, y=2
4) x=1, y=1
word problem) 5g of nutmeg and 20g of cinnamon
Step-by-step explanation:
1)
2x-9y=-55
2(x+2y) = 2x+4y = 36
(2x+4y)-(2x-9y)=36-(-55)
13y = 91
y = 7 so x = 4
2)
2(3x+2y) = 6x+4y = 14
6x-6y=-6
(6x+4y)-(6x-6y) = 14-(-6)
10y = 20
y = 2 so x = 1
3)
2(6x+10y) = 12x+20y = 4
5(7x+4y) = 35x+20y = -65
(35x+20y) - (12x+20y) = -65-4
23x = -69
x = -3 so y = 2
4)
just add them
(3x+2y)+(x-2y) = 5+(-1)
4x = 4
x = 1 so y= 1
last)
c+n = 25
9c + 12.5n = 25*9.7 = 242.5
9(c+n) = 9*25
9c+9n=225
9c+12.5n - 9c-9n = 242.5-225
3.5n = 17.5
n = 5 so c = 20
5g of nutmeg and 20g of cinnamon
let h(x)=-1/3x+2. Find -4h(9)
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
[tex]\qquad❖ \: \sf \: - 4 \: h(9) = 4[/tex]
[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
[tex]\qquad❖ \: \sf \:h(x) = - \cfrac{1}{3} x + 2[/tex]
we need to find -4 h(9) :
[tex]\qquad❖ \: \sf \: - 4 \: h(9)[/tex]
[tex]\qquad❖ \: \sf \: - 4 \bigg(- \dfrac{1}{3} \times 9 + 2 \bigg)[/tex]
[tex]\qquad❖ \: \sf \: - 4( - 3 + 2)[/tex]
[tex]\qquad❖ \: \sf \: - 4( - 1)[/tex]
[tex]\qquad❖ \: \sf \:4[/tex]
[tex] \qquad \large \sf {Conclusion} : [/tex]
[tex]\qquad❖ \: \sf \: - 4 \: h(9) = 4[/tex]
8. Solve for x.
28°
X
Answer:
if X is the angle degree like I think it is, then X = 56 degrees
Step-by-step explanation:
isosceles triangles will have 2 equal base angles.
90 degree angle - 28 = 62°
62 is now each base angle.
62 times 2 angles equals 124
the final angle, x, is 180 - 124 = 56°
Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon.
72.5 in2
75.5 in2
83 in2
96 in2
Answer:
83in²
Step-by-step explanation:
This can also be expressed as;
Area of polygon=Area of ∆ABF +Area of rectangle BCDF + Area 0f ∆DEF
For ∆ABF;
Area of ∆ABO=∆AOF
Area of ∆ABF=2×Area of ∆ABO
Area of ∆ABO=1/2×Length×height
=1×4×7/2=28/2=14in
But area of ∆ABF=2×Area of ∆ABO
Area=2×14in=28in.
Area of rectangle;
Area=length×breadth
Area=5in×8in=40in.
Area of ∆DEF=2×Area of ∆EFG
Area=1/2× base× height
Area=1×2.5×6/2
Area=15/2=7.5in.
But area of ∆EFG=2×7.5in
=15in.
Area of polygon=28in+40in+15in=83in
Two spheres have volumes of 87 cm³ and 647 cm³. If the surface area of the smaller sphere is 167 cm², what is the
surface area of the larger sphere?
64 cm²
96 cm²
128 cm²
256 cm²
The surface area of the larger sphere is equal to 636.365 square centimeters.
How to determine the surface area of the sphere by the use of direct variation formulas
In this question we must estimate the surface area of the smaller sphere. By geometry we know that the volume of a sphere is directly proportional to the cube of its radius and the surface area is directly proportional to the square of radius, then the volume to surface area ratio is equal to:
V/A = k · r (1)
Where:
r - Radiusk - Proportionality constantThen, we can derive the following relationship between the two spheres by eliminating the proportionality constant:
V/(A · r) = V'/(A' · R) (2)
Where:
r - Radius of the smaller sphere.R - Radius of the larger sphere.First, we need to determine the radii of the spheres:
Larger radius
R = ∛(3 · V' / 4π)
R = ∛(3 · 647 / 4π)
R ≈ 5.365 cm
Smaller sphere
r = ∛(3 · V / 4π)
r = ∛(3 · 87 / 4π)
r ≈ 2.749 cm
Lastly, we find the surface area of the larger sphere:
A · r · V' = A' · R · V
A' = (A · r · V') / (R · V)
A' = (167 · 2.749 · 647) / (5.365 · 87)
A' = 636.365 cm²
The surface area of the larger sphere is equal to 636.365 square centimeters.
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In the circle below, if AD is a diameter, and the length of chord BC = 36, find the length of the segment BP.
Answer:
b. 18
Step-by-step explanation:
The perpendicular bisector of a chord is a diameter of the circle. Conversely, if the diameter is perpendicular to a chord, it also bisects it.
Segment lengthsBC = BP +PC
BC = 2×BP . . . . . . . BP = PC
BP = BC/2 = 36/2 = 18 . . . . . . . divide by 2; substitute given values
The length of segment BP is 18 units.
Given: y varies directly as x squared and inversely as z cubed. If y = 12 when x = 4 and z = 2, find x when y = 1.728 and z = 5.
Select one:
a. x=6
b. x=18
c. x=27
d. x=36
Answer:
a
Step-by-step explanation:
given y varies directly as x² and inversely as z³ then the equation relating them is
y = [tex]\frac{kx^2}{z^3}[/tex] ← k is the constant of variation
to find k use the condition y = 12 when x = 4 and z = 2 , then
12 = [tex]\frac{k(4)^2}{2^3}[/tex] = [tex]\frac{16k}{8}[/tex] ( multiply both sides by 8 )
96 = 16k ( divide both sides by 16 )
6 = k
y = [tex]\frac{6x^2}{z^3}[/tex] ← equation of variation
when y = 1.728 and z = 5 , then
1.728 = [tex]\frac{6x^2}{5^3}[/tex] = [tex]\frac{6x^2}{125}[/tex] ( multiply both sides by 125 )
216 = 6x² ( divide both sides by 6 )
36 = x² ( take square root of both sides )
[tex]\sqrt{36}[/tex] = x , that is
x = 6
the vertex of this parabola is at (-5,-2) when the x value is -4 the y value is 2 . what is the coefficient of the squared expression in the parabola's equation
The vertex coefficient of the parabola with vertex (- 5, - 2) and the point (- 4, 2) is equal to 1.
What is the vertex coefficient of the equation of the parabola?
In this question we must find the vertex coefficient of the equation of the parabola, which is the vertex form of the quadratic equation:
y - k = C · (x - h)²
If we know that (h, k) = (- 5, - 2) and (x, y) = (- 4, 2), then the vertex coefficient is:
2 - (- 2) = C · [- 4 - (- 2)]²
4 = C · (- 2)²
C = 1
The vertex coefficient of the parabola with vertex (- 5, - 2) and the point (- 4, 2) is equal to 1.
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Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
[tex]2 \sqrt{5} \: + \: 7 \sqrt{5} \\ \sqrt{5} \: ( \: 2 + \: 7 \: ) \\ \sqrt{5} \: ( \: 9 \: ) \\ 9 \sqrt{5} [/tex]
Option 1
The simplification of the expression 2√5 + 7√5 is: 9√5.
So, Option A. is correct.
To simplify the expression 2√5 + 7√5, we can combine the like terms.
Both terms have the same radical expression, which is √5, so we can add their coefficients together.
2√5 + 7√5 = (2 + 7)√5
Now, simplify the coefficients:
2 + 7 = 9
Therefore, the simplified expression is:
2√5 + 7√5 = 9√5
So, the final answer is 9√5.
So, Option A. is correct.
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This table defines function f:
Answer:
Neither
Step-by-step explanation:
This function isn't even, because
[tex]f(x) = f( - x)[/tex]
Basically this mean for every x opposites the y value should be the same.
Here, 6 and -6 doesn't share the same y value, nor as -3,and 3.
This function isn't odd because
[tex]f( - x) = - f(x)[/tex]
Basically, this means our y values should be reflected about the orgin,
here, the y values does not switch signs for every x value and it's opposite itself , so this function isn't odd.
So The answer is neither
Identify each expression and value that represents the area under the curve y = x2 4 on the interval [-3, 2].
The area under the curve y = x² + 4 on the interval [-3, 2] exists [tex]$\frac{95}{3}[/tex].
What is the area under the curve y = x² + 4 on the interval [-3, 2]?The area under a curve between two points exists seen by accomplishing a definite integral between the two points. To estimate the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. This area can be estimated by utilizing integration with given limits.
The equation that represents the curve exists
y = x² + 4
To estimate the area under the curve in the interval of [-3, 2] will be
[tex]$&\text { area }=\int_{-3}^{2} x^{2}+4 d x \\[/tex]
[tex]$&=\left[\frac{x^{3}}{3}+4 x\right]_{-3}^{2} \\[/tex]
[tex]$&=\frac{1}{3}\left[x^{3}\right]_{-3}^{2}+4[x]_{-}^{2} _{3} \\[/tex]
simplifying the above equation, we get
[tex]$&=\frac{1}{3}\left[(2)^{3}(-3)^{3}\right]+4[(2)-(-3)] \\[/tex]
[tex]$&=\frac{1}{3}[8+27]+4[2+3] \\[/tex]
[tex]$&=\frac{1}{3}(35)+20 \\[/tex]
[tex]$&=\left(\frac{95}{3}\right)[/tex]
Therefore, the area under the curve y = x² + 4 on the interval [-3, 2] exists [tex]$\frac{95}{3}[/tex].
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Translate the phrase into a variable expression. Use the letter d to name the
variable. If necessary, use the asterisk (*) for multiplication and the slash
(/) for division.
the number of dollars Paul owes minus 18...
Answer here
Answer:
d - 18
Step-by-step explanation:
The question said to use d as the variable. We do not know the number of dollars Paul owes. So we put d for that amount.
Then "minus" means to subtract 18.
Writing the expression is all that is being asked for. Translating the words into algebra. We aren't solving anything. Not even writing an entire equation, just an expression, so it has no equals sign.
Use a calculator to find the mean of the data. {211, 226, 186, 221, 181, 228, 207, 215, 203, 203, 204, 196, 226, 212, 212, 201, 219, 191, 191, 185, 193, 231}
The mean of the given data is 206.5.
What is a mean?A dataset's mean (also known as the arithmetic mean, as opposed to the geometric mean) is the sum of all values divided by the total number of values. It is the most widely used measure of central tendency and is frequently referred to as the "average."It is the total (sum) of all the values in a set of data, such as numbers or measurements, divided by the number of values in the list. Add up all of the values in the set to find the mean. Then divide the total by the number of possible values.To find the mean of the given data:
Sum of values = 211 + 226 + 186 + 221 + 181 + 228 + 207 + 215 + 203 + 203 + 204 + 196 + 226 + 212 + 212 + 201 + 219 + 191 + 191 + 185 + 193 + 231 = 4,542
Number of values = 22
Mean = 4,542 ÷ 22 = 206.5
Therefore, the mean of the given data is 206.5.
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Answer:
Step-by-step explanation:
(Sequences and Summations) How would you solve this? Please give an explanation rather than just answering the question.
Step-by-step explanation:
To find the Tth term of an arithmetic progression, you should use the formula: Tn: a + (n-1)d, whereby 'a' is the first term, you have to find 'n' and 'd' is the difference between the first 2 numbers to find out by how much the arithmetic progression is increasing or decreasing. Hence, 29/30 minus 4/5 equals to 1/6. 'a' is 4/5 and 'd' is 1/6.
Use the above formula by replace a and d then you'll get the answer. Hope this helps.
Please help
Rewrite in index notation and then differentiate. Answer in the same form as the question.
[tex]y=-5x^2 \sqrt{x}[/tex]
I think that [tex]y=-5x^2(x)^\frac{1}{2}[/tex]
is the first part rewriteing in index notation if u could tell me if I am right then differentiate just show each step as I know how to differentiate I just for some reason can get this question right.
Answer:
I hope I've finally done justice to it.
Step-by-step explanation:
[tex]y=-5x^2 \sqrt{x}[/tex]
[tex]y=-5x^2(x)^\frac{1}{2}[/tex]
[tex]y=-5( {x}^{2 + \frac{1}{2} }) = - 5 {x}^{ \frac{5}{2} } [/tex]
[tex] \frac{dy}{dx} = - 5( \frac{5}{2}) {x}^{ \frac{5}{2} - 1 } [/tex]
[tex]\frac{dy}{dx} = ( \frac{ - 25}{2}) {x}^{ \frac{3}{2} } [/tex]
[tex]\frac{dy}{dx} = ( \frac{ - 25}{2}) \sqrt[3]{ {x}^{2} } [/tex]
If a random variable is characterized by (infinitely) uncountable values within any interval, it is known as ________ variable
Answer:
Step-by-step explanation:
i doont know
The perimeter of a rectangle is 320 feet. Find the length and width if the length is an odd integer and the width is 5 times the next consecutive odd integer.
The length of rectangle is 25 feet and the width of rectangle is 135 feet.
According to the question,
The perimeter of a rectangle is 320 feet. The length and width if the length is an odd integer and the width is 5 times the next consecutive odd integer.
Odd integers that follow each other and they differ by 2. If x is an odd integer, then x + 2, x + 4 and x + 6 are consecutive odd integers. The perimeter of a rectangle is 320 feet. Let the length of a rectangle is x. The next consecutive odd integer is x+2.width = 5(x+2)
=5x+10.
Let, Length - l:Width - w; l = 5w and the perimeter of a rectangle is 320 feet. Formula for perimeter of rectangle is 2(Length + Breadth). Perimeter of a rectangle is the sum of the length of all sides of the rectangle. The perimeter of a rectangle formula is,
P = 2(l + b)
In words, it is equal to the sum of two times the length and two times the breadth of the rectangle. Perimeter for any figure is defined as the length of its boundary.
2(length + width) = 320
Length+ width=160
x+5x+10=160
6x=150
x=25
Length = 25 feet
width = 5(25+2)=135 feet.
Hence, the length of rectangle is 25 feet and the width of rectangle is 135 feet..
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Rewrite 2X = 128 as a logarithmic equation.
Olog,128=2
log2x = 128
log2128 = x
log128x = 2
The equation 2^x = 128 as a logarithmic equation is log₂(128) = x
How to rewrite the equation as a logarithmic equation?The equation is given as:
2^x = 128
Take the logarithm of both sides
log(2^x) = log(128)
Rewrite as:
x * log(2) = log(128)
Divide both sides of the equation by log(2)
x = log(128)/log(2)
Apply the change of base rule
x = log₂(128)
Hence, the equation 2^x = 128 as a logarithmic equation is log₂(128) = x
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can someone please help me(20 points will give brainliest!!!)
Answer:
a. 1080
b. 405
Step-by-step explanation:
Function evaluation is often conveniently done using a calculator. Many calculators know about the order of operations, so can be used without fear of an incorrect evaluation.
a)Put the value where the variable is and do the arithmetic.
f(x) = 40(3^x)
f(3) = 40(3^3) = 40(27) = 1080
b)g(x) = 5(3^(x+1))
g(3) = 5(3^(3+1)) = 5(3^4) = 5(81) = 405
Determine the unknown length or angle measurement. Round each answer to the nearest whole number.
Answer:
a) 52
b)115
Step-by-step explanation: