Answer:-6.5
Step-by-step explanation:
Answer:
Step-by-step explanation
Use pemdas.
P- Parenthesis
e- Exponents
m- Multiplication
d- Division
a- Additon
s-Subtraction
5÷10+2-9
=5÷12-9
=5÷3
=1.666666666667
Through C construct a parallel to AB.
Through A construct a parallel to BC.
Through B construct a parallel to AC.
Extend these lines to form a new triangle.
What relationship exists between the
two triangles?
A
C
B
Answer:
new triangle is similar to and 2 times the size of the original
Step-by-step explanation:
You want to construct a new triangle with the sides of the existing one being midsegments of the new one. Then you want to know the relationship between the triangles.
ConstructionThe attachment shows the described construction.
RelationshipThe sides of the original triangle are midsegments of the new triangle, so the new triangle is ...
scaled up by a factor of 2 (has 4 times the area)similar to the originalrotated 180° about the common centroid of the two triangles
E
Find the equation of the line that is perpendicular to the given line and passes through the given point.
Enter the right side of the equation as a single fraction.
y =
5x - 3
-;(1,1)
4
The equation is y =
Answer:
19.4
Step-by-step explanation:
that is the answer
La Tierra tiene una carga eléctrica neta que origina un campo en los puntos cerca de su superficie, y que es igual a 150 N/C, dirigido hacia el centro del planeta. (a) ¿Qué magnitud y signo de la carga tendría que adquirir un ser humano de masa 60 kg, para vencer su peso con la fuerza ejercida por el campo eléctrico terrestre? (b) ¿Cuál sería la fuerza de repulsión entre dos personas, cada una con la carga calculada en el inciso (a), separadas por una distancia de 100 m? ¿Es factible el uso del campo eléctrico de nuestro planeta como un medio para volar? ¿Por qué?
The force of repulsion between two people, each with the charge calculated in part (a), separated by a distance of 100 m, is approximately 0.0152 N.
The Earth has a net electric charge that generates a field near its surface, which is equal to 150 N/C directed towards the center of the planet. Let's address the questions:
(a) To overcome the weight of a human with the force exerted by the Earth's electric field, we need to calculate the electric force required.
The electric force (Fe) is given by the equation:
Fe = q * E
Where:
Fe is the electric force,
q is the charge, and
E is the electric field strength.
The weight (W) of the human is given by the equation:
W = m * g
Where:
W is the weight,
m is the mass of the human, and
g is the acceleration due to gravity.
Since the electric force and weight should be equal to achieve equilibrium, we have:
Fe = W
Therefore:
q * E = m * g
Rearranging the equation, we can solve for q:
q = (m * g) / E
Substituting the given values:
q = (60 kg * 9.8 m/s²) / 150 N/C
Calculating the value:
q ≈ 3.92 × 10⁻³ C
The charge required for a human to overcome their weight with the Earth's electric field is approximately 3.92 milli Coulombs. The sign of the charge would depend on whether the charge is positive or negative.
(b) To calculate the force of repulsion between two people with the charges calculated in part (a), we can use Coulomb's Law. Coulomb's Law states that the force of repulsion between two charges is given by:
F = k * (|q1| * |q2|) / r²
Where:
F is the force of repulsion,
k is the electrostatic constant (9 × 10^9 N m²/C²),
q1 and q2 are the charges, and
r is the distance between the charges.
Substituting the values:
F = (9 × 10^9 N m²/C²) * (3.92 × 10⁻³ C)² / (100 m)²
Calculating the value:
F ≈ 1.52 × 10⁻² N
The force of repulsion between two people, each with the charge calculated in part (a), separated by a distance of 100 m, is approximately 0.0152 N.
As for the feasibility of using the Earth's electric field as a means of flying, it is not practical. The magnitude of the electric field near the Earth's surface is relatively weak, and the forces involved are insufficient to counteract the weight of a human. Additionally, the charges required for such an effect would be extremely large and potentially dangerous. The Earth's electric field cannot be effectively used as a medium for flying.
What is the following product?
PLEASE HELP THIS IS HARD
The Area of the shaded portion is: 72 square inches
What is the Area of the shaded region?The formula for the area of a triangle is given by the formula:
Area = ¹/₂ * base * height
Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.
Thus:
Area of larger triangle = ¹/₂ * 17 * 13 = 110.5 square inches
Area of smaller triangle = ¹/₂ * 11 * 7 = 38.5 square inches
Thus:
Area of shaded portion = 110.5 square inches - 38.5 square inches
Area of shaded portion = 72 square inches
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© PLAY
STOP
5
Madeline says that the two expressions 4(5 + x) and 20+ x equivalent.
(a)
Is Madeline correct?
A
Yes
B
No
Answer:
B No
Step-by-step explanation:
4(5 + x)
To simplify the expression, we must use the distributive property. We need to multiply 4 by the each of the two terms inside the parentheses.
4(5 + x) = 4 × 5 + 4 × x = 20 + 4x
20 + 4x is equivalent to 4(5 + x).
20 + x is not equivalent to 20 + 4x, so 20 + x is incorrect.
Answer: B No
Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.
What is the input?
Answer:
$577
Step-by-step explanation:
Let y = amount of money in the account.
Let x = number of months.
The withdrawals are always the same amount and occur every month, so this is a linear relation.
We are given two points of the relation: (5, 442) and (13, 226).
y = mx + b
m = (442 - 226)/(5 - 13) = 216/(-8) = -27
The slope, -27, represents the amount she withdraws each month.
y = -27x + b
442 = -27(5) + b
442 = -135 + b
b = 577
y = -27x + 577
b = y-intercept = initial amount
Answer: The input was $577.
Answer: B, B, and C
Step-by-step explanation: yo mama
Evaluate: (4 + 6 • 3) + 3
Answer:
\(25\)
Step-by-step explanation:
\((4 + 6 \times 3) + 3\)
\(=(4 + 18) + 3\)
\(=(22) + 3\)
\(=22+3\)
\(=25\)
Answer:25
Step-by-step explanation:
Pemdas
(4+6*3)+3
(Parentheses and Multiplication first)
4+18
22+3
Then addition
22+3=25
540.54 is what percent of 261040.50?
Answer: The answer should be 0.207%
Step-by-step explanation:
540.54/261040.5
54054/26104050
429/207175
0.00207 X 100/100
0.207/100
0.207%
HELPP!!!
The area of the figure is ____ square units.
Answer:
The answer is 132 square units
Step-by-step explanation:
Cutting the shape
we have two trapeziums
A=(area of small +Area of big)Trapezium
A=1/2(3+9)8 + 1/2(9+12)8
A=1/2×12×8 + 1/2×21×8
A=12×4 + 4×21
A=48+84
A=132 square units
Find the mean for the scores: 3.850; 5,300: 8,540; 4.300; 5,360.
Answer:5470
Step-by-step explanation:The mean is the average of the data collected in the graph.Step one add everthing together which is 3,850+ 5,300+ 8,540+ 4,300+5,360=27,350, Step two divide 27,350 with the total amount of numbers that's in the graph which is 5 if you divide those two number together you will get on average 5,470.
Evaluate.
1 1/2 + 3/4 ÷ (−1/3) − 2/3
Enter your answer as a mixed number in simplest form
As a mixed fraction, the expression yields -1 5/12.
What is meant by mixed fraction?A mixed fraction is one that is represented by its quotient and remainder. 2/3, for example, is a mixed fraction in which 2 is the quotient and 1 is the remainder. A mixed fraction is thus the product of a whole number and a proper fraction.
Step 1: Substitute an improper fraction for the mixed number.
Step 2: Rewrite the whole number as a fraction with the denominator 1 as the denominator.
Step 3: Multiply two fractions separately by multiplying the numerators and denominators. Step 4: If necessary, convert it to a simplified form.
Given the expression
1 ( 1/2) + (3/4) ÷ (-(1/3)) - (2/3)
Write as an improper fraction
(3/2) + (3/4) ÷ (-(1/3)) - (2/3)
Using the PEDMAS rule;
\(&=\frac{3}{2}+\left(\frac{3}{4} \div\left(-\frac{1}{3}\right)\right)-\frac{2}{3} \\\)
\(&=\frac{3}{2}+\left(\frac{3}{4} \times-3\right)-\frac{2}{3} \\\)
\(&=\frac{3}{2}-\left(\frac{9}{4}\right)-\frac{2}{3}\)
Find the LCM of the result
\(&=\frac{18-27-8}{12} \\\)
\(&=\frac{-17}{12} \\\)
\(&=-1 \frac{5}{12}\)
Hence, As a result, the expression as a mixed fraction yields -15 / 12.
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The effect of wearing different types of running shoes on the time it takes to complete a race is being studied in an experiment. Using the same course for each runner is an example of which experimental design principle?
Answer:
Direct contr
Step-by-step explanation:
I took the test and the guy who said replication was wrong. He cost me a point
Answer:
direct control
Step-by-step explanation:
i just took the test UwU
What is the standard equation of the parabola with vertex (-8,2) and directrix x=-10.5
Answer:c = 2.5
Step-by-step explanation:
( -8 , 3 )
Answer:
Vertex ( -8 , 3 )
c = 2.5
Step-by-step explanation:
( y - 3 )² = 10 ( x + 8 )
What is the pattern for the sequence 1.3, 8.3, 27.3, 64.3,…?
The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3
Calculating the pattern for the sequenceThe pattern in the question is given as
1.3, 8.3, 27.3, 64.3,…
In the above expressions and pattern, we can see that
The decimal part remain unchangedThe digit before the decimal is the cube of its positionFrom the above, we have the following
Current term = (n)³.3
Note that the decimal does not represent product
And also the pattern is a geometric sequence
Hence, the pattern for the sequence is f(n) = (n)³.3
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in the expression 2/5 w +55 what is the variable, the coefficient and the constant
The parameters of the expression are given as
25w+55
variable=wcoefficient = coefficient of variable (w)=25constant=55What is the coefficient ?A multiplicative factor in some terms of a polynomial, a series, or an expression is referred to as a coefficient. Although a coefficient is often a number, it may really be any expression. It is possible to refer to the coefficients themselves as parameters in situations when they themselves are variables.
A sign that may stand in for any other item in mathematics is known as a variable. To be more specific, a variable may stand in for a numeric value, a vector, a matrix, a function, the argument of a function, a set, or an individual component of a set.
Generally, the equation for expression is mathematically given as
25w+55
Therefore
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Evie buys an energy drink
The can is 12 cm high and the diameter is 5 cm.
Use 1-3
+5 cm
12 cm
SINH
Using the formula V = 12h, work out the volume of the can.
Give the units of your answer.
Select...
ngl I think you'll have to format it clearer, cause I have no clue what's happening
At the end of the spring semester, the dean of students sent a survey to the entire freshman class. One question asked the students how much weight they had gained or lost since the beginning of the school year.
The average was a gain of µ = 15 pounds with a standard deviation of
σ = 6. The distribution of scores was approximately normal.
A sample of n = 4 students is selected, and the average weight change is computed for the sample.
What is the probability that the sample mean will be greater than M = 10 pounds? In symbols, what is p (M > 10) (four decimals)
The probability that the sample mean will be greater than M = 10 pounds is 0.9525.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating the event is impossible and 1 indicating it is certain. Probability is used in many fields, including mathematics, statistics, science, and finance.
To solve this problem, we need to use the central limit theorem (CLT), which states that the distribution of sample means will be approximately normal, regardless of the shape of the population distribution, as long as the sample size is large enough.
Since the sample size is small (n = 4), we need to use the t-distribution instead of the normal distribution. However, since the population standard deviation is known, we can use the standard normal distribution with a z-score.
First, we need to calculate the standard error of the mean:
SE = σ / sqrt(n) = 6 / sqrt(4) = 3
Next, we can calculate the z-score:
z = (M - µ) / SE = (10 - 15) / 3 = -1.67
Finally, we can use a standard normal distribution table or calculator to find the probability of a z-score greater than -1.67:
p(M > 10) = P(z > -1.67) = 0.9525 (rounded to four decimals)
Therefore, the probability that the sample mean will be greater than M = 10 pounds is 0.9525.
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The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards. Find the average change in field position on each run. Enter the average change as a simplified mixed number.
The average change as a simplified mixed number would be,
⇒ 1 3/4
A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
We have to given that;
The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.
Now, The average change as a simplified mixed number would be,
⇒ (12 1/4) / 7
⇒ (49/4) / 7
⇒ (49 / 4×7)
⇒ 7/4
⇒ 1 3/4
Therefore, The average change is,
⇒ 1 3/4
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Find the unit rate of miles per gallon for these vehicles Vehicle Mies Traveled Gasoline Used (gah Sedan: Minivan: Sedan 630 35 Truck: Minivan 798 42 864 54
Answer:
Sedan:
18
Minivan:
19
Truck:
16
Step-by-step explanation:
Answer:
Sedan:
✔ 18
Minivan:
✔ 19
Truck:
✔ 16
Step-by-step explanation:
- Identify a pair of alternate exterior angles.
1
2
8
3
3
7
4
6
3
O <3 and 24
O_1 and 2
O_1 and 26
OL2 and 26
Answer:
should be angle 2 and angle 6
The length of a rectangle is 8 cm more than the width and its area is 172 cm^2 solve the quadratic equation using any of the three methods
What is the volume of the cylinder shown below rounded to the nearest tenth? Use 3. 14 for pi.
ANSWER
\(\begin{equation*} 34.0\text{ cm}^3 \end{equation*}\)EXPLANATION
To find the volume of the cylinder, apply the formula:
\(V=\pi r^2h\)where r = radius of the cylinder
h = height of the cylinder
The diameter of the cylinder is given.
The radius is half the diameter of the cylinder. This implies that the radius of the given cylinder is:
\(\begin{gathered} r=\frac{D}{2}=\frac{3.8}{2} \\ \\ r=1.9\text{ cm} \end{gathered}\)Therefore, the volume of the cylinder is:
\(\begin{gathered} V=3.14*1.9^2*3 \\ \\ V=34.0\text{ cm}^3 \end{gathered}\)That is the answer.
What is the inverse of the following conditional statement? "If the sum of interior angles of a polygon is more than 180°, then the polygon is not a triangle." If the sum of the interior angles of a polygon is not more than 180°, then the polygon is a triangle. If the polygon is a triangle, then the sum of the interior angles of the polygon is not more than 180°. If the sum of the interior angles of a polygon is equal to 180°, then the polygon is a triangle. If the polygon is not a triangle, then the sum of the interior angles of the polygon is more than 180°.
The inverse of the original statement is: "If the sum of the interior angles of a polygon is not more than 180°, then the polygon is a triangle."
The inverse of the conditional statement "If the sum of interior angles of a polygon is more than 180°, then the polygon is not a triangle" is: "If the sum of the interior angles of a polygon is not more than 180°, then the polygon is a triangle."
To find the inverse, we need to negate both the hypothesis and the conclusion of the original statement.
The hypothesis of the original statement is "the sum of the interior angles of a polygon is more than 180°". To negate this, we say "the sum of the interior angles of a polygon is not more than 180°".
The conclusion of the original statement is "the polygon is not a triangle". To negate this, we say "the polygon is a triangle".
In summary, the inverse of the original statement is "If the sum of the interior angles of a polygon is not more than 180°, then the polygon is a triangle."
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Pls help
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Perform the following computation with radicals. Simplify the answer.
V3.2V2
Answer:
4.9
Step-by-step explanation:
1.73205080757 * 2* 1.41421356237 = 4.89897934254
Type the correct answer in the box. Use numerals instead of words.
Answer:
2 squared - 7 + -4
Step-by-step explanation:
if 9 is added to a number x the result is greater than 17. Find the range of values of x
Answer:
See below.
Step-by-step explanation:
x+9>17
-9 -9
x>8
-hope it helps
dentify on which quadratic function is positive.
Y = 2x^2 - 17x + 30
Identify on which quadratic function is negative.
Y = - x^2 - 6x - 8
A explanation on the answers would be appreciated!
(Lots of points!)
Step-by-step explanation:
Let us identify which quadratic function is positive. Yeah, let's start.
Y = \({ \red{ \sf{2 {x}^{2} - 17x + 30}}}\)
By using factorisation method,
\({ \red{ \sf{2 {x}^{2} - 12x - 5x + 30}}}\)
Take common factors
\({ \red{ \sf{2x(x - 6) - 5(x - 6)}}}\)
\({ \red{ \sf{(2x - 5)}}} \: \: \: \: \: \: \: || \: \: \: \: \: { \red{ \sf{(x - 6)}}}\)
\({ \red{ \sf{2x - 5 = 0}}} \: \: || \: \: { \red{ \sf{x - 6 = 0}}}\)
\({ \red{ \sf{2x = 5}}} \: \: \: \: \: \: \: \: \: || \: \: \: \: { \red{ \boxed{ \green{ \sf{x = 6}}}}}\)
\({ \red{ \sf{{ \frac{ \cancel2}{ \cancel2}x}}}} = { \red{ \sf{ \frac{5}{2}}}}\)
\({ \red{ \boxed{ \green{ \sf{x = \frac{5}{2}}}}}} \)
____________________________________
Y = \({ \blue{ \sf {{ - x}^{2} - 6x - 8}}}\)
By using factorisation method,
\({ \blue{ \sf{ - {x}^{2} - 2x - 4x - 8}}}\)
Take common factors
\({ \blue{ \sf{ - x(x + 2) - 4(x + 2)}}}\)
\({ \blue{ \sf{( - x - 4)}}} \: \: \: \: \: || \: \: \: \: \: { \blue{ \sf{(x + 2)}}}\)
\({ \blue{ \sf{- x - 4 = 0}}} \: \: \: \: \: || \: \: \: \: \: { \blue{ \sf{x + 2 = 0}}}\)
\({ \blue{ \boxed{ \green{ \sf{x = -4}}}}} \: \: \: \: \: || \: \: \: \: \: { \blue{ \boxed{ \green{ \sf{x = -2}}}}}\)
Hence, the first quadratic function is positive and second quadratic function is negative.
Answer:
\(\textsf{$y = 2x^2 - 17x + 30$: \quad $\left(-\infty, \dfrac{5}{2}\right) \cup (6, \infty)$}\)
\(\textsf{$y = - x^2 - 6x - 8$: \quad $\left(-\infty, -4\right) \cup (-2, \infty)$}\)
Step-by-step explanation:
A function is positive when it is above the x-axis, and negative when it is below the x-axis.
---------------------------------------------------------------------------------
Given quadratic equation:
\(y = 2x^2 - 17x + 30\)
Factor the equation:
\(\implies y = 2x^2 - 17x + 30\)
\(\implies y = 2x^2 - 5x-12x + 30\)
\(\implies y=x(2x-5)-6(2x-5)\)
\(\implies y=(x-6)(2x-5)\)
The x-intercepts of the parabola are when y = 0.
To find the x-intercepts, set each factor equal to zero and solve for x:
\(\implies x-6=0 \implies x=6\)
\(\implies 2x-5=0 \implies x=\dfrac{5}{2}\)
Therefore, the x-intercepts are x = ⁵/₂ and x = 6.
The leading coefficient of the given function is positive, so the parabola opens upwards.
The function is positive when it is above the x-axis.
Therefore, the function is positive for the values of x less than the smallest x-intercept and more than the largest x-intercept:
\(\textsf{Solution: \quad $x < \dfrac{5}{2}$ \;and \;$x > 6$}\)\(\textsf{Interval notation: \quad $\left(-\infty, \dfrac{5}{2}\right) \cup (6, \infty)$}\)---------------------------------------------------------------------------------
Given quadratic equation:
\(y = - x^2 - 6x - 8\)
Factor the equation:
\(\implies y = - x^2 - 6x - 8\)
\(\implies y = -(x^2 +6x +8)\)
\(\implies y = -(x^2 +4x +2x+8)\)
\(\implies y = -((x(x+4)+2(x+4))\)
\(\implies y = -(x+4)(x+2)\)
The x-intercepts of the parabola are when y = 0.
To find the x-intercepts, set each factor equal to zero and solve for x:
\(\implies x+4=0 \implies x=-4\)
\(\implies x+2=0 \implies x=-2\)
Therefore, the x-intercepts are x = -4 and x = -2.
The leading coefficient of the given function is negative, so the parabola opens downwards.
The function is negative when it is below the x-axis.
Therefore, the function is negative for the values of x less than the smallest x-intercept and more than the largest x-intercept:
\(\textsf{Solution: \quad $x < -4$ \;and \;$x > -2$}\)\(\textsf{Interval notation: \quad $\left(-\infty, -4\right) \cup (-2, \infty)$}\)
Help me fast!!!! :)
Answer my other questions plz
Answer:
x = 20°
Step-by-step explanation:
Angles on a straight line = 180°
Therefore,
3x° + 80° + 2x° = 180°
Add like terms
5x + 80 = 180
Subtract 80 from each side
5x + 80 - 80 = 180 - 80
5x = 100
Divide both sides by 5
5x/5 = 100/5
x = 20°
what is six hundred eighty and fourteen thousandths written in standard form?
Answer:618.014
Step-by-step explanation: It may look like hundredths which is where must people mess up but it is instead thousandths.