PLEASE HELP I AM GROUNDED AND MY MOTHER IS SO MAD AT ME FOR MY GRADE
Answer:149
Step-by-step explanation:
180-31=149
the perimeter of a semicircle is 108 cm what is the perimeter of the square drawn on the diameter of the semicircle
Answer:
Step-by-step explanation:
the perimeter of the semi-circle would be the diameter plus the circumference of half of the circle.
They want to know the perimeter of a square using the diameter of the sem-circle as ONE side, so the perimeter of the square would be 4 times the ONE side.
We should recall:
diameter = 2 times the radius circumference of a cirlce = 2π r
How do we find the diameter of the of the semi circle?
The perimeter of the semi circle is given as 108 cm
Perimeter of the semicirle = 2r + π r diameter plus semi circumference
108 = r ( 2 + π) factor out the r and solve for r
108 / (2 + π) = r divide both sides by ( 2 + r)
Now we know r, the perimeter of the squqre is 4 times 2r or 8r
perimeter of square = 8 [ 108 / (2 + π) ] π I used 3.14
= 864 / 5.14
= 168.1 cm I got rounded to nearest tenth
When I re-checked by work I found a few math, logic and calculation errors. Please re-check my answer for any more mistakes.
What is the sum of the interior angles of the polygon shown below
Answer:
720 degrees.
Step-by-step explanation:
The sum of the interior angles of a convex polygon with n sides is
180(n - 2) degrees.
In this case, n = 6 sides, so the angle sum is
180(6 - 2) = 180(4) = 720 degrees.
The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides. Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).
5^5=5x5x5x5x5=
i put 3125 but it wont work can someone help me with this
Answer: 4 i think
Step-by-step explanation:
PLEASE HELP! Thank you!!!
Help!!!
Consider the following equation.
2^(x)+3=3^(-x)
If the equation is solved using successive approximation, match the value of x to the following iterations.
9514 1404 393
Answer:
no iterations shown; the root is approximately -1.12911
Step-by-step explanation:
If your method of successive approximation is the Bisection Method, and if your initial interval is [-2, -1], then successive values of x used for reducing the interval are ...
-1.5, -1.25, -1.125, -1.1875, -1.15625
__
If your method of successive approximation is Newton's method, and if your initial guess is -1.5, then successive values of x will be ...
-1.1905079, -1.1309053, -1.1291151, -1.1291135
Another iteration confirms this last value is accurate to 8 significant figures.
Answer:
-5/4
-9/8
-19/16
Step-by-step explanation:
This is the answer given
Pls answer the one question thanks
Step-by-step explanation:
angles on a straight line = 180
e + 8 + 3e - 4 = 180
4e + 4 = 180
4e = 176
e = 44
Answer:
e=44°
Step-by-step explanation:
(e+8°)+(3e-4)°=180°
e=44°
What is the value of q in the solution to this system of equations?
2m-5q=8
4m+2q=64
A.4
B.6
C.9
D.14
Answer:
4
Step-by-step explanation:
M,q 14,4
The value of q in the system of equations 2m-5q=8 and 4m+2q=64 is 4 thus option (A) is correct.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given system of equations,
2m-5q=8
4m+2q=64
Multiply by 2 into the equation 2m - 5q = 8
4m - 10q = 16
Subtract 4m - 10q = 16 by 4m+2q=64
-10 - 2q = 16 - 64
-12q = -48
q = 4
Hence"The value of q in the system of equations 2m-5q=8 and 4m+2q=64 is 4".
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(4pts) Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test). Find the IQ score separating the top 14% from the others
A) 83.7
B) 116.2 C) 108.6 D) 99.3
===========================================
Explanation:
We need to find a value of k such that P(X > k) = 0.14
This is equivalent to P(X < k) = 0.86 since 1 - 0.14 = 0.86
Use the invNorm function on a TI84 calculator or similar to input invNorm(0.86,100,15). The result is approximately 116.205 which rounds to 116.2
If you do not have a TI84 or similar, then you can input invNorm(0.86,100,15) into WolframAlpha. It is a free online calculator that can do many tasks beyond a basic calculator. There are many other online calculators that are similar.
Determine if the geometric series are convergent or divergent. If there is a sum, find the sum a. [infinity]Σₙ₌₁ 16(1/2)ⁿ⁻¹
b. [infinity]Σₙ₌₁ 7(4)ⁿ⁻¹
The transformation of System A into System B is:
Equation [A2]+ Equation [A 1] → Equation [B 1]"
The correct answer choice is option D
How can we transform System A into System B?
To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].
System A:
-3x + 4y = -23 [A1]
7x - 2y = -5 [A2]
Multiply equation [A2] by 2
14x - 4y = -10
Add the equation to equation [A1]
14x - 4y = -10
-3x + 4y = -23 [A1]
11x = -33 [B1]
Multiply equation [A2] by 1
7x - 2y = -5 ....[B2]
So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].
The complete image is attached.
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Find the Area! Need help asap
Answer:
5.6ft squared
Step-by-step explanation:
4x7 = 28 divided by 5 which is 5.6
one ounce of hulled sunflower seeds contains 14 grams of fat. how many grams of fat are in 8 ounces of hulled sunflower seeds?
8 ounces of hulled sunflower seeds contains number of 112 grams of fat. Sunflower seeds are a nutritious snack that can be enjoyed in moderation. However, it is important to be aware of the fat content of hulled sunflower seeds and to watch portion sizes.
1 ounce of hulled sunflower seeds contains 14 grams of fat, so 8 ounces of hulled sunflower seeds contains 8 times as much fat.
14 grams of fat x 8 ounces = 112 grams of fat
One ounce of hulled sunflower seeds contains 14 grams of fat. To determine how many grams of fat are in 8 ounces of hulled sunflower seeds, you must multiply the number of grams of fat in one ounce by the number of ounces in 8 ounces. Since one ounce of hulled sunflower seeds contains 14 grams of fat, 8 ounces of hulled sunflower seeds contains 8 times as much fat. Therefore, the answer is that 8 ounces of hulled sunflower seeds contains 112 grams of fat.
Hulled sunflower seeds have had the shells removed, making them easier to eat. Without the shells, the seeds have a higher fat content than unhulled sunflower seeds, so it is important to keep an eye on portion sizes when eating them. A quarter cup of hulled sunflower seeds contains around 14 grams of fat, so it is important to be aware of how much fat you are consuming in one serving.
In conclusion, 8 ounces of hulled sunflower seeds contains number of 112 grams of fat. Sunflower seeds are a nutritious snack that can be enjoyed in moderation. However, it is important to be aware of the fat content of hulled sunflower seeds and to watch portion sizes.
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Use the image to answer the question. A coordinate plane with four quadrants shows the x- and y-axes ranging from negative 5 to 5 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is x minus 5 y equals 3. The equation of the dotted line is 3 x minus 2 y equals negative 4. The intersection of both lines is shown at negative 2 on the x-axis and negative 1 on the y-axis in quadrant 3.
Review the graphs of a system of two linear equations in two variables: x−5y=7 and 3x−2y=−4. Find the solution to both equations.(1 point)
The intersection point is ()
The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.
Find the solution to both equations?One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:
x - 5y = 3
x = 5y + 3
Now we can substitute this expression for x into the second equation:
3x - 2y = -4
3(5y + 3) - 2y = -4
15y + 9 - 2y = -4
13y = -13
y = -1
We can now substitute this value for y back into either equation to find the value of x:
x - 5y = 3
x - 5(-1) = 3
x + 5 = 3
x = -2
Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.
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is an altitude in triangle wxz. if δywz ~ δyxw, what is true about xwz?
What is true about ΔXWZ is that the ratio of its altitude to the corresponding altitude in ΔYWZ is equal to the ratio of the length of XW to the length of YZ.
If ΔYWZ is similar to ΔYXW, it means that these two triangles have corresponding angles that are equal and corresponding sides that are proportional. In this case, we are specifically interested in the altitude of ΔWXZ, which we will denote as h.
Since ΔYWZ is similar to ΔYXW, we can establish the following proportion based on their corresponding sides:
YZ/YX = YW/YW
Let's denote the length of YZ as a and the length of YW as b. We can rewrite the proportion as:
a/YX = b/YW
Now, let's consider ΔXWZ. Since XW is common to both triangles, we can conclude that the altitude of ΔXWZ, which we will denote as k, is also proportional to the altitude of ΔYWZ (h). Therefore, we can express this proportion as:
k/h = XZ/YZ
To establish a relationship between k and h, we need to find a way to relate XZ to YZ. Using the proportion established earlier, we can substitute a for YZ:
k/h = XZ/a
To relate XZ to YZ, we need to find a relationship between XZ and YX. Again, using the similarity of the triangles, we have:
XZ/YZ = XW/YW
Substituting the value of YZ (a) from the earlier proportion, we have:
XZ/a = XW/YW
Now, we can combine the two proportions to find the relationship between k and h:
k/h = (XW/YW) * (YW/a)
Simplifying further, we get:
k/h = (XW/a)
From this equation, we can conclude that the ratio of the altitudes k/h in ΔXWZ and h in ΔYWZ is equal to the ratio of XW to YZ. In other words, the ratio of the altitudes is equal to the ratio of the corresponding sides in the similar triangles.
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The graph shows two lines, A and B.
A coordinate plane is shown. Two lines are graphed. Line A has the equation y equals x minus 1. Line B has equation y equals negative 3 x plus 7.
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B?
(1, 2) is the solution to both lines A and B.
(−1, 0) is the solution to line A but not to line B.
(3, −2) is the solution to line A but not to line B.
(2, 1) is the solution to both lines A and B.
Answer:
D
Step-by-step explanation:
(2, 1) is the solution to both lines A and B.
Answer:
the answer is D i took the test and got it correct
Step-by-step explanation:
Please help me I need it
Answer:
112%
Step-by-step explanation:
percentage change value formula
c2 = X2 - X 1 X 100
X1 1
WHERE,
C2 = RELATIVE VALUE
X2 = FINAL VALUE ( TODAY'S VALUE) = 32,860
X1 = INITIAL VALUE (1992 VALUE) = 15,500
PERCENTAGE CHANGE = 100
C2 = 32860 - 15500 X 100
15500 1
= 17, 360 X 100
15,500 = 1.12 X 100 = 112%.
A restaurant has an aquarium in the shape of a rectangular prism. the base is 6 feet by 2.5 feet in size. the height is 4 feet. how many square feet of glass was used in making this aquarium? where is the glass part of the aquarium?
The total area of the glass used in making the rectangular prism-shaped aquarium is 60 square feet.
The rectangular crystal formed aquarium has a base area of 6 feet by 2.5 feet, which is equivalent to 15 square feet. The level of the aquarium is 4 feet. To compute the complete region of the glass utilized in making the aquarium, you really want to duplicate the base region by the level, which is 15 x 4 = 60 square feet. This implies that 60 square feet of glass were utilized in making the aquarium. The glass some portion of the aquarium incorporates the four sides and the top, while the base is normally made of an alternate material, like acrylic.
The foundation of the rectangular crystal formed aquarium is 6 feet by 2.5 feet, which gives an all out area of 15 square feet (6 x 2.5). The level of the aquarium is 4 feet. Hence, the absolute region of the glass utilized in creating the aquarium can be determined by duplicating the base region by the level: 15 x 4 = 60 square feet.
The glass a piece of the aquarium would be the four sides and the top. The base would ordinarily be made of another material, like acrylic.
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read the picture plsssssssssssss
If the expression be 23 x² + 3x + 8 then the constant exists 8.
What is meant by expression?The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.
A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.
A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.
Let the expression be 23 x² + 3x + 8
then the constant exists 8.
Therefore, the correct answer is option C. 8.
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All boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line. B. All boundary points of a rational inequality should always be represented by plotting a closed circle on a number line. C. All boundary points of a rational inequality should always be represented by plotting an open circle on a number line. D. All boundary points of a rational inequality that are found by determining the values for which the numerator is equal to zero should always be represented by plotting an open circle on a number line.
Answer: All boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line.
Step-by-step explanation:
Based on the options given in this question, it should be noted that the option that is true is that all boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line.
Therefore, the correct option is A.
A linear sequence (i.e. where the 1st difference is always the same) has 5th term 6 and 92nd term 354. What is the 57th term?
Answer:
I dont know xDDDDDDDDDD
Answer:
a₅₇ = 214
Step-by-step explanation:
The n th term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₅ = 6 and a₉₂ = 354 , then
a₁ + 4d = 6 → (1)
a₁ + 91d = 354 → (2)
Subtract (1) from (2) term by term to eliminate a₁
0 + 87d = 348
87d = 348 ( divide both sides by 87 )
d = 4
Substitute d = 4 in (1) and solve for a₁
a₁ + 4(4) = 6
a₁ + 16 = 6 ( subtract 16 from both sides )
a₁ = - 10
Then
a₅₇ = - 10 + (56 × 4 ) = - 10 + 224 = 214
What is the area of the figure below?
Answer:
26 in²
Step-by-step explanation:
Area of a triangle
a = (1/2)base * height
base = 10 + 3 = 13
a = (1/2)(13) * 4
a = 26
joe wants to find all the four-letter words that begin and end with the same letter. how many combinations of letters satisfy this property?
Answer: There are $26$ choices for the first letter, $26$ for the second, and $26$ for the third. The last letter is determined by the first letter. Thus, there are $26^3 = \boxed{17576}$ such combinations.
Step-by-step explanation:
This means that picking a four-letter word that follows this rule is just like picking any 3 letter word (pick a 3 letter word and then add a "copy" of the first letter as a fourth letter)
so there's a total of 263 =17,576 combinations- 26 options for the first letter, 26 options for the second letter, and 26 options for the third letter.
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The temperature at a point (x,y,z) is given by T(x,y,z)=200e^(−x2−y2/4−z2/9), where T is measured in degrees Celsius and x,y, and z in meters. There are lots of places to make silly errors in this problem; just try to keep track of what needs to be a unit vector.
Find the rate of change of the temperature at the point (-1, 1, -2) in the direction toward the point (-3, -5, -4).
In which direction (unit vector) does the temperature increase the fastest at (-1, 1, -2)?
〈〈 , , 〉〉
What is the maximum rate of increase of TT at (-1, 1, -2
To find the rate-of-change of temperature at the point (-1, 1, -2) in the direction toward the point (-3, -5, -4), we need to calculate the gradient vector and then evaluate it at the given points.
The gradient vector (∇T) represents the direction of steepest ascent of the temperature function T(x, y, z). It can be computed by taking the partial derivatives of T with respect to each variable: x, y, and z.
∇T = (∂T/∂x, ∂T/∂y, ∂T/∂z)
∂T/∂x = -2x * T
∂T/∂y = -y/2 * T
∂T/∂z = -2z/9 * T
Plugging in the values (-1, 1, -2) into the partial derivatives, we get:
∂T/∂x = 2 * (-1) * 200e^(-1 - 1/4 - 4/9) = -400e^(-2.4722)
∂T/∂y = -1/2 * (1) * 200e^(-1 - 1/4 - 4/9) = -100e^(-2.4722)
∂T/∂z = -2/9 * (-2) * 200e^(-1 - 1/4 - 4/9) = 800e^(-2.4722)
Now we calculate the unit vector in the direction from (-1, 1, -2) to (-3, -5, -4):
u = ((-3) - (-1), (-5) - (1), (-4) - (-2)) = (-2, -6, -2)
||u|| = √((-2)^2 + (-6)^2 + (-2)^2) = √(4 + 36 + 4) = √44 = 2√11
u = (-2/2√11, -6/2√11, -2/2√11) = (-1/√11, -3/√11, -1/√11)
To find the rate of change of temperature at (-1, 1, -2) in the direction of u, we compute the dot product of the gradient vector and the unit vector:
Rate of change = ∇T · u
Rate of change = (-400e^(-2.4722), -100e^(-2.4722), 800e^(-2.4722)) · (-1/√11, -3/√11, -1/√11)
Rate of change = -400e^(-2.4722) * (-1/√11) + -100e^(-2.4722) * (-3/√11) + 800e^(-2.4722) * (-1/√11)
Simplifying this expression will give us the rate of change of temperature at the point (-1, 1, -2) in the direction toward (-3, -5, -4).
To determine the direction in which the temperature increases the fastest at (-1, 1, -2), we need to find the unit vector in the direction of the gradient vector (∇T) at that point.
The unit vector in the direction of ∇T is given by:
∇T/||∇T||
We already computed ∇T earlier. Now we calculate its magnitude:
||∇T|| = √((-400e^(-2.4722))^2 + (-100e^(-2.4722))^2 + (800e^(-2.4722))^2)
The maximum rate of increase of T at (-1, 1, -2) is equal to the magnitude of ∇T at that point.
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A store sells 3 different sizes of the same juice. The 8 ounce bottle costs $2.96, the 16 ounce bottle costs $5.44, and the 24 ounce bottle costs $9.36. Which size bottle is the better buy?
Answer:
24 ounce bottle.
Step-by-step explanation:
8 Ounce bottle=2.7 for each ounce
16 ounce bottle=2.9 for each ounce
24 ounce bottle=2.6 for each ounce
6x + 15 = 9x
Pls help me get the answer for x
Answer:
Step-by-step explanation:
X=5
Can someone help me solve these 6 problems? Due today!
Answer:
1) =-11, 3)=16, 5)=10, 2)=14, 4)=-14, 6)=-8
Step-by-step explanation:
Distribute, then isolate the variable
6th Grade Math Homework!
Will give brainiest!
15 Points!!
Please solve
ONLY ANSWER IF YOU HAVE THE ANSWERS
Don't need to explain
Keep in mind there are 2 pictures!
PLEASE HELP!! AND FAST!!
1. What time will it be at the following places if it is 3am at 15°E?
a. 45 E
b. 60°E
c. 90°E
d. 105.E
e. 124°E
please show working
36. Find the ratio of x to y:
4/y + 3/x = 44 and 12/y - 2/x = 44
Please help I am confused
The required ratio of x to y is 5:8 for the given equations.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
The equations are given in the question, as follows:
4/y + 3/x = 44 ...(i)
12/y - 2/x = 44 ...(ii)
From equation (i), and isolate y,
4/y + 3/x = 44
y = - 4x/(3 - 44x)
Substitute the above value in equation (ii), and we get
12/{- 4x/(3 - 44x)} - 2/x = 44
Simplify the above equation, and we get
x = 1/8
Now, substitute the value x = 1/8 in equation (i),
4/y + 3/{1/5} = 44
Simplify the above equation, and we get
y = 1/5
So, the ratio of x to y as:
x:y = (1/8)/(1/5)
x:y = 5/8
Thus, the required ratio of x to y is 5:8
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Twelve of the comic books in Rachel's collection are in mint condition. If 6 of her collection is in mint condition, how
many comic books are in her collection?
Which equation can be used to solve the problem above?
O 12-3-1
0-12-1
O - - 12
on-12-13
PLEASE ANSWER ASAP I WILL MARK BRAINLY IF CORRECT
Answer:
This question makes no sense... It says 12 are in mint condition, then says only 6 are? I'd just say 18? I have no clue what equation to go with though. Sorry.
Step-by-step explanation:
Answer:
"A" is correct.