Answer:
false
Step-by-step explanation:
The sum of 2 times p and 2 is 48. What is p?
Answer:
p = 23
Step-by-step explanation:
2p + 2 = 48
-2 -2
2p = 46
/2 /2
p = 23
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if it is given that "x" is 23.5 - proof that it is a point of intersection at y= 1/2(x) - 25 if y is equal to 11. been trying but not working out.
When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.
Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.
The equation is given as y = 1/2(x) - 25
When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25
This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)
On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.
Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.
In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).
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A boy drops his toy car from the top floor of his house. The time it takes for the toy to fall from a height of 13 feet is given by the equation
h=94−16t^2, where t is the time in seconds. Determine the time it takes the toy to fall to the bottom floor.
It takes the toy car 2.43 seconds to fall to the bottom floor, answer choice is B. 9/4 seconds, which is equal to 2.25 seconds.
Describe Equation?An equation is a mathematical statement that asserts that two expressions are equal. An equation consists of two sides, the left-hand side and the right-hand side, separated by an equal sign (=).
For example, 2x + 5 = 11 is an equation, where the left-hand side is 2x + 5 and the right-hand side is 11. This equation asserts that the expression 2x + 5 is equal to 11, and the value of x can be determined by solving for x.
Equations can be simple or complex, and they can involve one or more variables. They can also be linear or nonlinear, depending on the nature of the expressions involved.
Solving an equation involves finding the values of the variables that make the equation true. This may involve applying algebraic operations and simplification techniques to isolate the variable on one side of the equation.
Equations are used in many areas of mathematics, science, engineering, and economics, and they provide a powerful tool for modeling and analyzing real-world situations. They are also used extensively in computer programming and cryptography, where they play a critical role in the development of algorithms and data encryption methods.
We have the equation \(h = 94 - 16t^2\), where h is the height of the toy car in feet and t is the time in seconds.
When the toy car reaches the bottom floor, its height will be h = 0. So we can set the equation equal to 0 and solve for t:
\(0 = 94 - 16t^216t^2 = 94t^2 = 94/16\)
\(t = \sqrt{(94/16)} = \sqrt{(23.5/4)} = 2.43 seconds\) (rounded to two decimal places)
Therefore, it takes the toy car 2.43 seconds to fall to the bottom floor.
The closest answer choice is B. 9/4 seconds, which is equal to 2.25 seconds.
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If a line is tangent to a circle, then it is ___________ to the radius drawn to the point of tangency.
If a radius is drawn to the point of tangency of a tangent line, then the radius is basically perpendicular to the tangent line.
Given that the radius is drawn to the point of tangency of a tangent line.
We are required to fill the blank with the appropriate word.
Radius is basically the line segment which joins the center to any point on the circumference of the circle.
Tangent line is basically a line which is drawn from an outside point on the circumference of the circle.
When the radius is drawn to the point of tangency of a tangent line, then the radius is perpendicular to the tangent line.
Hence if a radius is drawn to the point of tangency of a tangent line, then the radius is perpendicular to the tangent line.
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Allison’s cupcake and cookie budget for her party are $105. She would like to have at least 40 cupcakes and cookies combined and would like to have at most 5 more cupcakes than cookies. If cupcakes sell for $2.50 and cookies for $1.50, which system of inequalities could help Allison determine possible numbers of cupcakes (a) and cookies (b) that she should buy?
(
a
≥
0
,
b
≥
0
)
The system of Inequalities that represents the possible number of cupcakes and cookies that Allison should buy is;
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
We are told she desires to have at least 40 cupcakes and cookies combined.
We are told that;
a is the number of cupcakes
b is the number of cookies
Then this inequality is written as;
a + b ≥ 40
Secondly, we are told she desires to have at most 5 more cupcakes than cookies.
Thus, the inequality would be;
a + 5 ≤ b
Thirdly, we are told that cupcakes sell for $2.50 and cookies for $1.50
Therefore, the inequality is;
2.50a + 1.50b ≤ 105
In total, the 3 inequalities would be;
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
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Find a+b, 2a+3b,|a|, and |a-b|. a=3i-5j+3k, b=2j-k
43,475 nearest thousand
Answer:
43,000
Step-by-step explanation:
The number after the 3 in the thousandth place is 4. That is on the lower side of 5, so the number decreases.
Last month the price of one pound of carrot was $2 1/5 and joe sold 12 1/12
Answer:\(26\frac{7}{12}\)
Step-by-step explanation:
2 1/5 * 12 1/2 = 319/12
319/12 = \(26\frac{7}{12}\)
Which equation describes the same line asy- 3 =-1(x+ 5)?
OA. y=-1x- 2
O B. y= -1x-1
O C. y=-1x+8
O D. y=-1x-5
-8/9 + (-2)/57
find the absolute value of the following rational number
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x -1. Let a be a constant. What is the largest smallest degree of f(x) + a * g(x)
The largest and smallest degree of f(x) + a * g(x) if a be a constant is 4 and 1 respectively.
According to the question f(x) = x^4-3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x -1
f(x) + a * g(x) = x^4-3x^2 + 2 + a( 2x^4 - 6x^2 + 2x -1)
= x^4(1 + 2a)x^4 +(-3-6a)x^2 +2 + 2ax -a
The term with the largest exponent is (1 +2a)x^4, which has degree 4. This term will be non-zero for a ≠ -1/2.
The largest possible degree of f + ag is 4
When a = -1/2, the first two terms disappear and the sum becomes
f + ag = -x +1/2
The smallest possible degree of f + ag is 1.
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how do u graph the solution y=2x-1 iready
Answer:
Step-by-step explanation:
y=mx+b
m= slope and b= y intercept
you'll start with a point on the y axis on -1
and the slope will go up so towards the right corner up but 2/1 points
An emu-for-hire company has 20 emus they rent out to people with emu-related emergencies. There are 5 brown emus, 8 grey emus, 2 white emus, and the rest are multi-color. What is the probability that a customer will receive a grey emu?
What is the slope of the line shown in the graph?
Answer:
I'm pretty sure it's -3/2
Answer:
2
the answer is..................... (2,-3)
Decide whether the statement is possible or impossible.
sin^2θ+cos^2θ=8
Is the statement possible or impossible, and why? Show all work and reasoning for answer.
The statement sin²Ф + cos²Ф = 8 is impossible.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
sin²Ф + cos²Ф = 8 ____(1)
The standard formula is sin²Ф + cos²Ф = 1 _____(2)
Now,
Comparing (1) and (2).
sin²Ф + cos²Ф = 8 is never possible unless 8 is on both sides.
i.e
8 (sin²Ф + cos²Ф) = 8
Thus,
The statement is impossible.
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the frame of the tent is defined by a rectangular base and two parabolic arches that connect the opposite corners of the base. The graph of y=-0.18x^2+1.6x models the height can a child who is 4 feet tall walk under without bending over
The child who is 4 feet tall can walk under the tent without bending over, as the height of the tent at that point is greater than 4 feet.
1. Given equation: y = -0.1\(8x^2\) + 1.6x, where y represents the height of the tent and x represents the distance from the center of the tent.
2. We want to find the maximum height of the tent to determine if a 4-foot tall child can walk under it without bending over.
3. To find the maximum height, we need to determine the vertex of the parabolic equation.
4. The vertex of a parabola in the form y = a\(x^2\) + bx + c is given by the formula x = -b / (2a).
5. In our equation, a = -0.18 and b = 1.6. Plugging these values into the formula, we get x = -1.6 / (2 * -0.18).
6. Simplifying the expression, we find x = 4.44.
7. Now, substitute this value back into the equation to find the maximum height: y = -0.18 * (4.4\(4)^2\) + 1.6 * 4.44.
8. Evaluating the expression, we find y ≈ 4.32.
9. The maximum height of the tent is approximately 4.32 feet.
10. Since the child's height is 4 feet, the child can comfortably walk under the tent without bending over, as the height is greater than 4 feet.
11. Therefore, the child who is 4 feet tall can walk under the tent without bending over.
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Can anyone help? Its on plato precalc sem A
if a man pay #357 for a book,how much will he pay for 78 books?
Answer: 27,846
Step-by-step explanation: 357 x 78 = 27,846
Answer:
$27846
Step-by-step explanation:
One book cost = $357
So, for 78 books, it will be $357 * 78
=> $27846
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Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
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ASTU = AXYZ, #27 = 28°, m2U = (4x + y)²
#2X=130%, #2Y = (&r=6p)
The equations are -2-
and y
-[
Answer:
\(x=5, y=2\)
Step-by-step explanation:
\(4x+y=22 \implies 24x+6y=132 \\ \\ 8x-6y=28 \\ \\ 32x=160 \\ \\ x=5 \\ \\ \implies 4(5)+y=22 \implies y=2\)
Please see the attached.
Answer:
min: 56
lower quartile: 70
median: 74
upper quartile: 80
max: 86
The heights of the starting players on each of two basketball teams are shown in the table below. Heights of Starters on Team A and Team B Team A 70 in. 72 in. 75 in. 68 in. 70 in. Team B 71 in. 73 in. 71 in. 72 in. 73 in. Jacob found that the mean height of Team A is 71 and the mean height of Team B is 72. He believes that because Team B has a greater mean, it also has a greater mean absolute deviation. Which explains Jacob’s error?
Answer:
The correct answer should be A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Let Q be an orthogonal matrix with an eigenvalue λ1=1. Let x be an eighenvector beloinging to λ1. Show that x is also an eigenvector of QT
If Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).
To show that x is also an eigenvector of QT, we need to demonstrate that QT * x is a scalar multiple of x.
Given that Q is an orthogonal matrix, we know that QT * Q = I, where I is the identity matrix. This implies that Q * QT = I as well.
Let's denote x as the eigenvector corresponding to the eigenvalue λ1 This means that Q * x = λ1 * x.
Now, let's consider QT * x. We can multiply both sides of the equation Q * x = λ1 * x by QT:
QT * (Q * x) = QT * (λ1 * x)
Applying the associative property of matrix multiplication, we have:
(QT * Q) * x = λ1 * (QT * x)
Using the fact that Q * QT = I, we can simplify further:
I * x = λ1 * (QT * x)
Since I * x equals x, we have:
x = λ1 * (QT * x)
Now, notice that λ1 * (QT * x) is a scalar multiple of x, where the scalar is λ1. Therefore, we can rewrite the equation as:
x = λ2 * x
where λ2 = λ1 * (QT * x).
This shows that x is indeed an eigenvector of QT, with the eigenvalue λ2 = λ1 * (QT * x).
In conclusion, if Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).
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5x+4(-x-2)=-5x+2(x-1)+12
Answer:
x=9/2
Step-by-step explanation:
Let's solve your equation step-by-step.
5x+4(−x−2)=−5x+2(x−1)+12
Step 1: Simplify both sides of the equation.
5x+4(−x−2)=−5x+2(x−1)+12
5x+(4)(−x)+(4)(−2)=−5x+(2)(x)+(2)(−1)+12 (Distribute)
5x+−4x+−8=−5x+2x+−2+12
(5x+−4x)+(−8)=(−5x+2x)+(−2+12) (Combine Like Terms)
x+−8=−3x+10
x−8=−3x+10
Step 2: Add 3x to both sides.
x−8+3x=−3x+10+3x
4x−8=10
Step 3: Add 8 to both sides.
4x−8+8=10+8
4x=18
Step 4: Divide both sides by 4.
4x/4=18/4
x=9/2
find X in the given figure
Answer:
72 degrees
Step-by-step explanation:
A bag contains 25 cookies. There are 15 chocolate chip cookies, 7 peanut butter cookies, and the rest are oatmeal raisin cookies. What is the probability of randomly choosing a chocolate chip or peanut butter cookie from the bag? (Write your answer as a whole percent)
SOLUTION:
Case: Probability
Method:
Total= 25 cookies
Chocolate chip (C)= 15
Peanut butter (P)= 7
Oatmeal raisin (O)= 25 - 15 - 7
Oatmeal raisin= 3
The probability of randomly choosing a chocolate chip or peanut butter cookie from the bag.
\(\begin{gathered} Pr(CorP)=\frac{15+7}{25} \\ Pr(CorP)=\frac{22}{25} \end{gathered}\)As a percentage, the percentage equivalence is:
\(\begin{gathered} Pr(CorP)=\frac{22}{25}\times100 \\ Pr(CorP)=22\times4 \\ Pr(CorP)=88 \end{gathered}\)Final answer:
88%
Solve the following equation: 5x - 3= 3(2x +1) + x. Describe each
step used to solve the equation and justify your reasoning. Be sure
to show all work
Answer:
–3
Step-by-step explanation:
5x-3=3(2x+1)+x
5x-3=6x+3+x
So, X to the left and numbers to the right
5x-6x-x=3+3
-2x=6 | :(-2)
x= -3
PLEASE HELP DONT IGNORE ASAP.
Determine if the situations described below are proportional or not proportional.
Answer: both are proportional
Step-by-step explanation:
Both. ..............................
write 0.222222 as fraction or mixed number
Answer: What I seemed to have gotten was 111111/500000
1. 0.222222 = 0.222222 / 1
2. Multiply the numerator and denominator by 10^6
Result: 222222 / 1000000
3. Divide numerator and denominator by 2
Result: 111111/500000
PLEASE HELP IT IS DUE NOW!!!!
will give brainliest
Answer:
5.
2.4 = E
-1 4/5 = B
-0.2 =C
-2 3/5 = A
0.6 = D
6. one line under -1
Step-by-step explanation:
5. On the number line each short line is by 2 so basically 2 + 2 + 2
6. -4/3 = 1/1/3 (simplify)
5:
2.4 = E
- 1 4/5 = B
-0.2 = C
-2 3/5 = A
0.6 = D
6:
look at attached file
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