Answer:
60 yds
Step-by-step explanation:
10 + 15 + 4 + (10 - 4) + 20 + (20 - 15) = 60
Answer: 60 Yards
In this model, we have all sides except for two. In order to find the perimeter of this, you would need all sides.
To find the missing sides you can see that the lenght of the side on the left is 10 yards. And the entire right side is equal to that left side. So, to find the missing side x you would need to solve: x+10-4. So, x is 6.
Do the same for the top and bottom to get the other missing side that is perpendicular to the side that is 4 yards is 5 yards.
Now that you have the lengths of all of the sides, you can solve for the perimeter. You would do,
\(15+4+6+20+10+5=60\)
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HELP!! // The phone case you want to buy is marked down 25%, and you have a 10% off coupon. You pay $27.00. Can this equation be used to find the original price of the phone case? Explain why the equation does or does not fit the scenario, then determine the original price of the phone case.
(0.75c) = 27
Answer:
The original price is $40.00.
Step-by-step explanation:
I am not sure what that given equation is.
But here is the correct answer and steps.
The marked down price is 75% of the original price.
The final price is 90% of the marked down price.
Lets say
\(T\) = Final Price
\(O\) = Original Price
We can write
\(T=(0.75*O)*(0.9)\)
Multiply \(0.9\) by \(0.75\).
\(T=0.675*O\)
We are given the final price. Lets substitute 27.00 for \(T\).
\(27.00=0.675*O\)
Divide both sides of the equation by \(0.675\).
\(40.00=O\)
a square with side length 2 and a circle share the same center. the total area of the regions that are inside the circle and outside the square is equal to the total area of the regions that are outside the circle and inside the square. what is the radius of the circle?
The radius of the circle which is overlapping the square is 1.12.
The length of side of the square is 2. Let us say that the radius of the circle is R.
The circle and the square are overlapping on each other.
The area of the region that are outside the circle but inside the square are equal to the area of the region which are inside the circle but outside the square.
Let us name the area of the region that are outside the circle but inside the square as M.
Let us name the area of the region which are inside the circle but outside the square as N.
Let us say that the area that is common in both is C.
The area of the square is 4.
So, according to the question,
M + C = 4
And,
N + C = πR²
And we know, M = N,
So,
C - πR² = C - 4
R = 2/√π
R = 1.12.
So, the radius of the circle is 1.12
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Point P(4,-3) is translated up 5 and left 4. What is the coordinate of P'?
Answer:
what is the meening of coordinate
how do I know what is the segment of a triangle?
The segment of a triangle is the median of the triangle. This is the line that join a vertex of the triangle to the opposite side of the triangle.
I only need the final question, Please hurry!
Answer:
c would be the power of -5
Step-by-step explanation:
Chastity ran a hypothesis test with an alpha level of .01 and her test statistic fell outside of the critical region. what should she do?
The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.
If Chastity ran a hypothesis test with an alpha level of .01 and her test statistic fell outside of the critical region, it means that the test statistic does not provide enough evidence to reject the null hypothesis.
In this case, Chastity should fail to reject the null hypothesis and accept it as the plausible explanation. This implies that there is not enough evidence to support the alternative hypothesis.
When a test statistic falls outside of the critical region, it indicates that the observed data is not extreme enough to reject the null hypothesis. The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.
In summary, when Chastity's test statistic falls outside of the critical region, she should fail to reject the null hypothesis and accept it as the plausible explanation. This means that there is not enough evidence to support the alternative hypothesis at the given alpha level of .01.
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Gracie deposited $20,000 into an account that compounds interest weekly at a rate of 1.56%. Each week, her bank withdraws $200 from the account and puts that amount into her mortgage account. How long will it take until the account has a balance of $0? Round to the nearest tenth of a year.
It takes 2 years for the account balance to come down to 0.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\).
Given that, principal =$20,000, rate of interest =1.56%, n=52 and W=$200.
Use the formula, \(P=W\frac{1-(1+\frac{r}{n})^{-nt} }{\frac{r}{n} }\)
\(20000=200\frac{1-(1+\frac{0.0156}{52})^{-52t} }{\frac{0.0156}{52} }\)
\(100=\frac{1-(1+0.0003)^{-52t}}{0.0003}\)
\(0.03=1-(1.0003)^{-52t}\)
\(0.97=(1.0003)^{-52t}\)
Take log on both the side, we get
-52t·log(1.0003)=log0.97
So, t=2 years
Therefore, it takes 2 years for the account balance to come down to 0.
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Determine whether the set of data shown below display exponential behavior. Write yes or no explain why or why not?
Answer:
I don't know what is your name is your
If m < 0 and b > 0, the graph of y = mx + b does not pass through which quadrant?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer: Quadrant III
Step-by-step explanation:
The slope is negative and the y-intercept is positive.
This means that it is impossible for both x and y to be negative, and thus it does not pass through Quadrant III
please help me explain how this is wrong
Answer:
Step-by-step explanation:
Jim though this:eight thousandths looks like this .0008
Lou thought this:eight hundredths looks like this .008
So that means Jim Would have been correct in picking the Larger number.
Answer:
Jim is correct
Step-by-step explanation:
Jim is correct because 8 hundreths as a decimal can be written as 0.08. 8 thousanths as a decimal is 0.008. We can see that even though thousandths seems bigger than hundreths, in decimals, the higher it seems, the lower it actually is(0.08>0.008)
can you please help meeeeeeee
Answer:
No, No, No, Yes, Yes, Yes
Write the contrapositive of the following statements (you may assume that every integer is either even or odd) (a) If x is odd, then ris odd. (b) If p is prime, then 2 – 2 is divisible by p (c) If x is nonzero, then zº is positive. (d) If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. (e) If A or B, then C.
A statement's contrapositive is constructed by denying both the hypothesis and conclusion of the original statement and then inverting them. In other words, the inverse of "If A, then B" is "If B, then not A." In logic and mathematics, this can be a useful strategy for proving or disproving assertions.
(a) Original statement: If x is odd, then r is odd.
Contrapositive: If r is not odd (i.e., even), then x is not odd (i.e., even).
(b) Original statement: If p is prime, then 2 - 2 is divisible by p.
Contrapositive: If 2 - 2 is not divisible by p, then p is not prime.
(c) Original statement: If x is nonzero, then z^0 is positive.
Contrapositive: If z^0 is not positive, then x is zero.
(d) Original statement: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.
Contrapositive: If the parallelogram is not a rhombus, then the diagonals of the parallelogram are not perpendicular.
(e) Original statement: If A or B, then C.
Contrapositive: If not C, then not A and not B.
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Write the equation of the line that passes through the given point and has the given slope. (-12,5)
slope = 1/3
Answer: y= 1/3x + 41
Answer:
\(_{\text{point-slope form}}\)
\(\huge\boxed{y-5=\dfrac{1}{3}(x+12)}\)
\(_{\text{slope-intercept form}}\)
\(\huge\boxed{y=\dfrac{1}{3}x+9}\)
\(_{\text{standard form}}\)
\(\huge\boxed{x-3y=-27}\)
Step-by-step explanation:
The point-slope form of an equation of a line:
\(y-y_1=m(x-x_1)\)
where
\(m\) - slope
\((x_1;\ y_1)\) - a point on a line
We have
\(m=\dfrac{1}{3};\ (-12;\ 5)\to x_1=-12;\ y_1=5\)
Substitute:
\(y-5=\dfrac{1}{3}(x-(-12))\\\\y-5=\dfrac{1}{3}(x+12)\\==================\)
\(y-5=\dfrac{1}{3}(x+12)\qquad|\text{use the distributive property}\ a(b+c)=ab+ac\\\\y-5=\dfrac{1}{3}x+4\qquad|\text{add 5 to both sides}\\\\y=\dfrac{1}{3}x+9\\=======================\)
\(y=\dfrac{1}{3}x+9\qquad|\text{multiply both sides by 3}\\\\3y=x+27\qquad|\text{subtract}\ x\ \text{from both sides}\\\\-x+3y=27\qquad|\text{change the signs}\\\\x-3y=-27\)
fill in the blank. In a 4x3x2x2 factorial experiment, you have ___ independent variables and potentially ___ main effect hypotheses.
4; 4
In a 4x3x2x2 factorial experiment, you have 4 independent variables and potentially 4 main effect hypotheses.
The 4 independent variables are represented by the four numbers in the experimental design
(i.e., 4 levels of variable A, 3 levels of variable B, 2 levels of variable C, and 2 levels of variable D).
The potentially 4 main effect hypotheses are one for each independent variable, which states that there is a significant effect of that independent variable on the outcome variable.
Factorial experiment:A factorial experiment includes multiple factors simultaneously, each consisting of two or more
levels. Many factors simultaneously influence what is studied in a factorial experiment, and
experimenters consider the main effects and interactions between factors.
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x2 + 5x - 36 which binomial is a factor of the polynomial?
Whatus the Value of (2^3)^2
Answer:
64
Step-by-step explanation:
\((2^3)^2\)
\(2^3*^2\)
We need to exponentiate power.
The following rule is applied: \((A^B)^C\)
A is equal to 2
B is equal to 3
C is equal to 2
and this is how you get 64
(-8) x (-2/3) =
1/3a = -5
URGENTTT
Answer: -8
Step-by-step explanation:
= 12 * (-2/3)
= -24/3
= -8
(−8) ⋅ (−2/3) = 1/3a = −5
The formula weights=mass of 1 mole of (−8) ⋅ (−2/3) = 1/3a = −5 = 0g
Help with problem with photo
Check the picture below.
Find the second derivative of f(x)=3sin(2x). Enclose arguments of functions in parentheses. For example, sin(2x). f′′(x)= 因囯 Please explain, in your own words and in a few sentences, how you arrived at your answers.
The second derivative of f(x) = 3sin(2x) is f''(x) = -12sin(2x). The second derivative is obtained by taking the derivative of the first derivative.
In this case, we start by finding the first derivative of f(x) and then differentiate it once again. To find the first derivative, we apply the chain rule. The derivative of sin(2x) is cos(2x) multiplied by the derivative of the inner function, which is 2. Therefore, the first derivative of f(x) = 3sin(2x) is f'(x) = 3(2cos(2x)) = 6cos(2x).
Next, to find the second derivative, we differentiate f'(x) = 6cos(2x) using the chain rule again. The derivative of cos(2x) is -sin(2x) multiplied by the derivative of the inner function, which is 2. Thus, the second derivative of f(x) is f''(x) = 6(-2sin(2x)) = -12sin(2x).
In summary, the second derivative of f(x) = 3sin(2x) is f''(x) = -12sin(2x). The process involves finding the first derivative using the chain rule and then differentiating it once more using the chain rule as well.
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Julian is working two summer jobs, making $13 per hour lifeguarding and making $8 per hour washing cars. In a given week, he can work a maximum of 15 total hours and must earn at least $160. If xx represents the number of hours lifeguarding and yy represents the number of hours washing cars, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
if he can work 15 hours and must make at least 160 dollars, he'll need to work 8 hours lifeguarding and 7 hours washing cars
Step-by-step explanation:
13 x 8 = 104
8 x 7 =56
when added we get 160, and the hours are exactly 15
x + y ≤ 15
13x + 8y = 160
A landscaper is designing a wall of white bricks . The pattern consists of 130 white bricks in the bottom row , 110 white bricks in the second row , and 90 white bricks in the third row . How meany white bricks will the 6th row have
Answer:
30 Bricks in the 6th row
Step-by-step explanation:
i found the answer online
Answer:
b: 30
Step-by-step explanation:
took test
please help 35 points
1)
8. ∠ABC, 5. \(\overrightarrow{BA}\), 9. Point C, 3. Plane W, 6. \(\overline{AB}\), 2. \(\overrightarrow{BC}\) and \(\overrightarrow{BA}\), 1. \(\overleftrightarrow{AB}\), 7. Plane ABC, 4. line m.
2)
a) The output of the rule is (-6,9)
b) The output of the rule is (-3,0)
c) No.
3) The image is attached below.
What is a line?
A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.
1)
Angle: An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively.
Therefore first image is ∠ABC.
In mathematics, a ray is a segment of a line with a fixed starting point but no ending.
The fixed point is B. Then second image represents \(\overrightarrow{BA}\). The sixth image represents two rays that are \(\overrightarrow{BC}\) and \(\overrightarrow{BA}\),
A point is a basic concept in traditional Euclidean geometry that represents an exact place in space and has no length, breadth, or thickness. In contemporary mathematics, a point more broadly refers to a component of a set known as a space.
The image represent point C.
A plane is an infinitely long, Euclidean, two-dimensional surface in mathematics. A plane is a point, a line, and three-dimensional space's equivalent in two dimensions.
The fourth image represent Plane W. The eighth image represents Plane ABC.
The seventh image represents \(\overleftrightarrow{AB}\) and the ninth image represents line m.
2)
The translation rule is
(x,y) → (x-3, y+4)
(a) The translation of the point (-3,5) is (-3 -3, 5 + 4) = (-6,9).
(b) The translation of the point (0,-4) is (0 -3, -4 + 4) = (-3,0)
(c) No, since a function consists of one variable. But in the translation, there is two variables.
3)
The vertices of △PQR are P(1,-1), Q(3,-2), R(3,-4).
The rule of 180° rotation about origin is (x,y) → (-x,-y)
After rotation, P'(-1,1), Q'(-3,2), R(-3,4).
The rule reflection about x-axis is (x,y) → (x,-y)
After reflection, P''(1,1), Q''(3,2), R''(3,4).
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f(x)=−2x+16
g(x)=4x+10
please give me the intersection points
Answer:
(1, 14)Step-by-step explanation:
The intersection is when both functions have same coordinates
f(x) = g(x)Substitute to get
- 2x + 16 = 4x + 104x + 2x = 16 - 106x = 6x = 1The y- coordinate is
y = - 2(1) + 16 = -2 + 16 = 14So the intersection point is (1, 14)
Answer:
(1, 14)
Step-by-step explanation:
Given functions:
\(\begin{cases}f(x)=-2x+16\\g(x)=4x+10\end{cases}\)
Substitute the function notation for y to create a system of equations:
\(\begin{cases}y=-2x+16\\y=4x+10\end{cases}\)
To find the points of intersection of the given functions, solve the system of equations.
Multiply the first equation (function f(x)) by 2:
\(\implies 2y=-4x+32\)
Add this to the second equation (function g(x)) to eliminate x:
\(\begin{array}{r l}4x+10 & = y\\+ \quad -4x+32 & = 2y\\\cline{1-2} 42 & = 3y\end{array}\)
Solve for y:
\(\implies 3y=42\)
\(\implies y=14\)
Substitute the found value of y into one of the equations and solve for x:
\(\implies 4x+10=14\)
\(\implies 4x=4\)
\(\implies x=1\)
Therefore, the point of intersection of the given functions is (1, 14).
Graph the following function by starting with a function from the library of functions and then combining shifting and reflecting techniques. g(x)=(x+2)^(2)-1
The function g(x) = (x+2)^2 - 1 can be graphed by starting with the graph of the function y = x^2 and then shifting it 2 units to the left and down 1 unit.
The function y = x^2 is a parabola that is symmetric about the y-axis. When we shift it 2 units to the left, the parabola will move 2 units to the left without changing its shape. The new parabola will have a vertex at the point (-2, 0).
When we shift the parabola down 1 unit, the parabola will move 1 unit down without changing its shape. The new parabola will have a vertex at the point (-2, -1).
The graph of the function g(x) = (x+2)^2 - 1 is the graph of the shifted and reflected parabola.
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A recipe for one batch of sugar cookies calls for 5 cups of flour and 2 teaspoons of vanilla. Draw a double number line thats shows the amount of flour and vanilla needed for two needed batches of cookies
Answer:
What can I use to draw it?
Step-by-step explanation:
Gerard concluded that the triangle with sides feet, 8 feet, and cannot be used as a building frame support on the house because it is not a right triangle. How did gerard come to that conclusion? explain.
Gerard concluded that triangle with given sides cannot be used as building-frame support because it is not right triangle, he come to this conclusion because the Pythagoras-theorem is not satisfied.
In order to check if a triangle is "right-triangle", Gerard used the Pythagorean theorem. According to this theorem, in right triangle, the square of length of hypotenuse (the side opposite the right angle) is equal to sum of squares of other two sides,
So, the squares of the given sides are :
Square of √95 feet = (√95)² = 95 feet
Square of 8 feet = 8² = 64 feet
Square of √150 feet = (√150)² = 150 feet
We see that, 95 feet + 64 feet = 159 feet ≠ 150 feet,
Since the square of the longest side (√150) is not equal to the sum of the squares of the other two sides (√95 and 8), the Pythagorean-theorem is not satisfied.
Therefore, Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 feet is not a right triangle.
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The given question is incomplete, the complete question is
Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 cannot be used as a building frame support on the house because it is not a right triangle. How did Gerard come to that conclusion? explain.
Can someone please teach me how to do this? You can please do like 2 questions and please explain exactly how you got the answers so I can do the rest myself. please
All of these questions require one thing: trigonometric functions.
There are 3 main trigonometric functions, which can only be used on right triangles: sine, cosine, and tangent.
Sine = opposite / hypotenuse
Cosine = adjacent / hypotenuse
Tangent = opposite / adjacent
When trying to figure out what function to use, we always start by looking from the angle. Take problem a, for example. Looking from angle E, of which the value is not given, we have the side opposite and the side adjacent. Therefore, we should use the tangent function.
---The hypotenuse is always the longest side of the triangle. It is never considered the opposite or adjacent side.
Let's set up our function with the given information from problem a.
tan(x) = 9.7 / 5.2
---The tangent of an unknown angle is equal to the quotient of the opposite side and the adjacent side.
Now, solving for the value of x will require a calculator. We'll need to use what's called an inverse trigonometric function. Most calculators have these directly above the regular trigonometric functions, and the inverse functions are accessed using a "second" key.
---Ensure that your calculator is in degrees, not radians!
x = tan^-1(9.7 / 5.2)
x = 61.805 = 62 degrees
Next, let's take a look at problem b. This time, we're solving for a side length instead of an angle. But, we're still going to start by looking from our angle.
Looking from the 38 degree angle, we are given the adjacent side and an unknown hypotenuse. Therefore, we should use the cosine function.
cosine(38) = 53.1 / r
---The cosine of a 38 degree angle is equal to the quotient of 53.1 and an unknown hypotenuse, r.
Use your algebra skills to isolate the variable r.
r * cosine(38) = 53.1
r = 53.1 / cosine(38)
---From here, all you need to do is plug this into your calculator. Since we are solving for a side length (and given an angle), we are just using the regular trigonometric function buttons on the calculator.
r = 67.385 = 67.4 units
Hope this helps!
What is the slope of the function?
–6
–4
4
6
Answer:
-6
Step-by-step explanation:
The triangles are congruent by the SSS congruence theorem.
Triangles A B C and F E D are shown. Triangle A B C is reflected across A C and then is shifted down and to the left to form triangle F E D.
Which rigid transformation(s) can map TriangleABC onto TriangleFED?
reflection, then dilation
reflection, then translation
rotation, then translation
rotation, then reflection
The rigid transformations that maps ΔABC onto ΔFED by reflection then translation.
The correct option is (B).
What is Translation?Translation is also another form of transformation whereby all the points of a figure are shifted at exactly the same distance and in the same direction without being resized, reflected nor rotated.
given:
ΔABC ≅ ΔFED are congruent by the SSS Congruence Theorem.
Hence, the rigid transformations that maps ΔABC onto ΔFED by reflection then translation.
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Answer:
B
Step-by-step explanation:
1/3 of animals are cows, 1/4 are sheep, 1/5 are horses, 1/6 are deer and 4 dogs. How many animals are there altogether?
Answer:
80
Step-by-step explanation:
First, let's mark all animals as x. Now we can form an equation:
\( \frac{1}{3} x + \frac{1}{4} x + \frac{1}{5} x + \frac{1}{6} x + 4 = x\)
Then, let's multiply this whole equation by 60, since it's a common denominator:
20x + 15x + 12x + 10x +240 = 60x
57x = -240 + 60x
57x - 60x = -240
-3x = -240 / : (-3)
x = 80