If AD = 3, BD = 6, then
AB = √3² + 6²
AB = √9 + 36
AB = √45
AB = 6.71
BD bisects angle B, therefore:
Angle A = 45 degrees
Angle C = 45 degrees
BC = 6.71
AC = 9.49 or 6.71 * √2)
If AD = 4, DC = 9, then
BD = 9
BC = 12.728 or 9 * √2
need help like every time :{
Answer:
I need free points but all ik is the -4 needs to be divided by 4 then u have 5g+14=5g/-1
Step-by-step explanation:
Assume the geometric distribution applies. Use the given probability of success p to find the indicated probability. Find P(5) when p= .70
Answer:
3.5
Step-by-step explanation:
you do .70 times 5
P times 5 = p(5)
P=.70
.70 times 5= 3.5
The value of P(5) when p = 0.70 is 0.00567
How to determine the probability?The given parameter is:
p = 0.70
A geometric probability is represented as:
P(x) = (1 - p)^(x - 1) * p
So, we have:
P(5) = (1 - 0.70)^(5 - 1) * 0.70
Evaluate the difference
P(5) = 0.30^4 * 0.70
Evaluate the product
P(5) = 0.00567
Hence, the value of P(5) when p = 0.70 is 0.00567
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The Fuller family's house was sold for $300,000. How much money will they have after they pay their real estate agent a 5% commission?
Answer: $285,000
Step-by-step explanation:
($300,000)*(0.05) = $15,000 and $300,000 - $15,000 = $285,000
Answer:
$285,000
Step-by-step explanation:
Find the slope of this line.make it a fraction.
Answer:
\(\frac{-2}{3}\)
Step-by-step explanation:
to find the slope of linear line, you need two points. It does not matter which pints you use. I am going to use (0,5) and (3,3) The slope is the change in y over the change is x. Our y values are 3 and 5. Our x values are 3 and 0
\(\frac{3-5}{3-0}\) = \(\frac{-2}{3}\)
Help on this math question please
Answer:
3x² + x + 1
-3x² + x + 1
-54
Step-by-step explanation:
there is nothing complicated to it. you just use the requested pertain on the whole expressions of the functions, and the result is then the new function.
so,
r(x) = 3x²
s(x) = x + 1
what do you think s + r is ?
it is simply
(s+r)(x) = 3x² + x + 1
done. that is really all there is to this.
now the next (but consider the sequence due to the sign)
(s-r)(x) = x + 1 - 3x² = -3x² + x + 1
and the third
(s×r)(x) = 3x²(x+1) = 3x³ + 3x²
so, for x=-3
(s×r)(-3) = 3×(-3)³ + 3×(-3)²
remember, an even power of a negative number gives a positive result, an uneven power of a negative number gives a negative result.
(s×r)(x) = 3×-27 + 3×9 = -81 + 27 = -54
Work out the equation of the line which has a gradient of 2 and passes through the point (-4,4)
Therefore , the solution of the given problem of equation comes out to be y = 2x + 12 is the equation for the line going through the point (-4,4) and having a gradient of 2.
What is an equation?Complex algorithms frequently employ a variable term to guarantee agreement with the two opposing claims. Equations, which are mathematical statements, are used to demonstrate the equality of a number of academic figures. Instead of expression dividing 12 into two parts in this situation, the normalise technique provides b + 6 to use the data from y + 6 instead.
Here,
The point-slope version of the equation of a straight line can be used to determine the equation of the line passing through the point (-4,4) and having a gradient of 2:
=> y - y1 = m(x - x1) (x - x1)
where (x1, y1) is the given point, m is the gradient, and (x, y) are the coordinates of any other place on the line.
With our current numbers substituted, we obtain:
=>y - 4 = 2(x - (-4))
If we simplify, we get:
=> y - 4 = 2(x + 4)
=> y - 4 = 2x + 8
=> y = 2x + 12
Consequently, y = 2x + 12 is the equation for the line going through the point (-4,4) and having a gradient of 2.
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Joseph buys a watermelon that weighs 5%
kilograms. He also buys a cantaloupe that
weighs 2,500 grams. What is the weight
difference in grams?
Answer:
The watermelon weighs 2,500 grams more than the cantaloupe.
Step-by-step explanation:
Giving the following information:
Watermelon= 5kg
Cantaloupe= 2,500 grams
We know that 1 kilogram equals 1,000 grams.
First, we need to determine the weight of the watermelon in grams.
Watermelon= 5*1,000= 5,000 grams
Now, the difference:
Difference= 5,000 - 2,500
Difference= 2,500 grams
The watermelon weighs 2,500 grams more than the cantaloupe.
The function f(x) is shown on the graph.
What is f(0)?
0 only
-6 only
–2, –1, 1, and 3 only
–6, -2,-1, 1 and 3 only
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.
The correct answer is D.
The function f(x) has some specific characteristics as shown in the graph.
The graph of f(x) has five intercepts, as can be seen from the graph.
The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.
The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.
At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.
The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.
Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).
This can be deduced from the symmetry of the graph about the origin.
Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.
At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.
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What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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The speed limit on a city street is 30 miles per hour. Define a variable for the speed. Identify the inequality and the graph that represents the speed limit.
A: \(0\leq x\leq 30\)
B: \(0\leq x\ \textless \ 30\)
C: \(0\geq x\geq 30\)
D: \(0\geq x\ \textgreater \ 30\)
I know the answer, I just want to see everyone else's opinion.
The inequality that represents the speed limit on a city street is option B: 0 ≤ x < 30.
To define a variable for the speed limit on a city street, we can use the variable x.
Next, we need to identify the correct inequality that represents the speed limit. The speed limit is stated as "30 miles per hour." In this case, the speed can be any value greater than or equal to 0 but less than 30, because it cannot exceed 30 miles per hour.
Let's break down the answer choices:
A: 0 ≤ x ≤ 30
This option states that the speed can be any value between 0 and 30, inclusive. However, since the speed limit cannot exceed 30 miles per hour, this inequality is incorrect.
B: 0 ≤ x < 30
This option states that the speed can be any value between 0 and 30, but not including 30. This accurately represents the speed limit on a city street, as it cannot exceed 30 miles per hour. Therefore, this is the correct inequality.
C: 0 ≥ x ≥ 30
This option states that the speed can be any value between 0 and 30, but it includes negative values as well. This inequality is incorrect because the speed cannot be negative.
D: 0 ≥ x > 30
This option states that the speed can be any value greater than 30 or equal to 0. Since the speed limit cannot exceed 30 miles per hour, this inequality is incorrect.
Therefore, the correct inequality that represents the speed limit on a city street is option B: 0 ≤ x < 30.
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Answer the following question. Round your answers to the nearest cent if necessary
Rickey Smith is an engineer. His annual salary is $85,425.00 per year. What is his monthly salary?
O A. $7,118.75
O B. $6,966.50
O C. $1,642.79
OD. $1,708.50
An object has velocity of 8 m/s and kinetic energy of 480j what is the mass of the object
==============================================
Work Shown:
KE = 480
v = 8
KE = (1/2)*m*v^2
480 = 0.5*m*8^2
480 = 0.5*m*64
480 = 0.5*64m
480 = 32m
32m = 480
m = 480/32
m = 15
The SI unit for mass is in kilograms
Also a joule is defined with kilograms since 1 J = 1 kg*m/s^2
1 joule is the amount of energy needed to move an object of mass 1 kg with an acceleration of 1 m/s^2
So this is why the mass m is in kilograms.
a soccer team lost 30% of their games. If they played 20 games, how many did they win
Answer:
14
Step-by-step explanation:
100% - 30%= 70% (the times they've won)
0.7x20=14
Seven students in a small class all made the same score on a test, as shown in the table. What was the mean absolute deviation for the class?
Responses
A 0
B 80
C 560
D undefined
Answer:
hey, the answer is A I'm 100% for sure:)
Step-by-step explanation:
:)
Which graph shows the inequality ?
The number line goes from negative 8 to positive 8. At 0, there is an open circle. The number line is shaded to the left of 0 and on the left end of the shaded line there is a left-facing arrow.
The number line goes from negative 8 to positive 8. At 0, there is a filled-in circle. The number line is shaded to the left of 0 and on the left end of the shaded line there is a left-facing arrow.
The number line goes from negative 8 to positive 8. At 0, there is an open circle. The number line is shaded to the right of 0 and on the right end of the shaded line there is a right-facing arrow.
The number line goes from negative 8 to positive 8. At 0, there is a filled-in circle. The number line is shaded to the right of 0 and on the right end of the shaded line there is a right-facing arrow.
Answer:
A) The number line goes from negative 8 to positive 8. At 0, there is an open circle. The number line is shaded to the left of 0 and on the left end of the shaded line there is a left-facing arrow.
Step-by-step explanation:
Given inequality: x < 0
open circle: < or >
filled circle: ≤ or ≥
Therefore, for x < 0 there will be an open circle at 0.
< means less than, so the number line will be shaded to the left of 0 and there will be a left-facing arrow on the end of the shaded line.
which of the following Expressions is equivalent to 5-10x+3x=11?A.13x=16B. -2=11C. -7x=6D. -13x=6
Original expression
\(5-10x+3x=11\)Reduced expression
\(\begin{gathered} 5-7x=11 \\ -7x=11-5 \\ -7x=6 \end{gathered}\)The answer would be -7x = 6
please help me answer this and please explain how you got your answer
Answer:
6 is your answer
Step-by-step explanation:
In the figure , let's take Side
AB=2 in. and A'B'=12 in.
So,
2 × 6 = 12
AB×6 = A'B'
Similarly it goes for BC and B'C' , CD and C'D' , etc... to get the multiple 6
Answer:
scale factor = 6
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original
scale factor = \(\frac{12}{2}\) = 6
The side lengths of left figure are multiplied by 6
Melvin's bank account has a balance of $9685.06. The previous balance was $6955.01. Melvin made
deposit of $2815.85 and withdrew $100.00. How much did he earn in interest?
$18.40
$16.20
O$18.04
O $14.20
Melvin earned interest of $14.20.
The compensation a lender or financial institution receives for lending out money is called interest. The percentage of a stockholder's ownership in a company that is also referred to as interest.
The current balance is the previous balance increased by the deposit and interest and decreased by the withdrawal. Let x be the interest.
$6,955.01 + $2,815.85 + x − $100.00=$9,685.06
Combine like terms
$9,670.86 + x = $9,685.06
Subtract $ 9,670.86 from both sides of the equation
x = $14.20
Hence, Melvin earned interest of $14.20.
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Select the values that make the inequality -4 g< 64 true. Then write an equivalent inequality, in terms of g
Answer:
g > -16
Step-by-step explanation:
-4 g< 64 (Given)
g > -16 (Sign flips sing you divided by a negative number)
The solution of the equation 3x + 4 =1 is a) 1 b) 0 c) -1 d) 2
Hello!
3x + 4 = 1
3x + 4 - 4 = 1 - 4
3x = -3
3x/3 = -3/3
x = -1
The solution of the equation 3x + 4 = 1 is -1.
The answer is:
C) x = -1
Work/explanation:
To solve this equation, I subtract 4 from each side:
\(\sf{3x+4=1}\)
Subtract :
\(\sf{3x=-3}\)
Divide each side by 3:
\(\sf{x=-1}\)
Hence, C is correct.
What the meaning of statement this?
The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.
Axiom of RegularityThe set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.
The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.
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Ticket sales for Six Flags White Water totaled $94,520 this summer. Tickets for the water park cost $17 each. How many tickets were sold?
The number of tickets that will be sold is 5560.
What is division?
A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.
Ticket sales for Six Flags White Water totaled $94,520 this summer.
Tickets for the water park cost $17 each.
The number of tickets sold will be = 94520/17 = 5560.
Hence, the number of tickets that will be sold is 5560.
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Jug A contains 6/7 as much water as Jug B.Jug C contains 3/5 as much water as Jug A.Find the ratio of the volume of water in Jug B to the volume of water as Jug C.
The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.
Let's assume the volume of water in Jug B is x.
According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.
Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].
To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:
(x) / [(3/5) * (6/7) * x]
Simplifying the expression, we get:
x / (18/35 * x)
The x values cancel out, leaving us with:
1 / (18/35)
To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:
1 * (35/18)
The final ratio is:
35/18
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Mr. Thompson asked 50 students were about their
favorite ice cream.
1/5 of the students chose Vanilla
1/2 of the students chose Chocolate The remaining chose Strawberry
How many students chose Strawberry as their favorite flavor?
What decimal represents the students who
prefer cookie dough?
Answer:
0.12 chose strawberry as their favorite
Can someone please help me with this geometry question, I’ll love you forever
The order would be 2→1→5→6→3→4
cone a is 10 centimeters high and its base has a diameter of 4 centimeters. Cone B is twice as tall with a hight of 20 centimeters and a diameter of 4 centimeters. Cone C is the same height as cone A, 10 centimeters, but the diameter of its base is 8 centimeters. Which cone has the greatest volume?
The cone that has the greatest volume is cone C
How to determine the cone that has the greatest volume?The given parameters in the question are
Cone A
Height = 10 cm
Diameter = 4 cm
Cone B
Height = 20 cm
Diameter = 4 cm
Cone C
Height = 10 cm
Diameter = 8 cm
The volume of a cone can be calculated using the following volume equation
Volume of a cone = 1/3π(d/2)²h
Where
h = height of the cone
r = radius of the cone
d = diameter of the cone
Using the above equations, we have the following computations
Volume of a cone A = 1/3π * (4/2)² * 10
Volume of a cone A = 40/3π
Volume of a cone B = 1/3π * (4/2)² * 20
Volume of a cone B = 80/3π
Volume of a cone C = 1/3π * (8/2)² * 10
Volume of a cone C = 160/3π
We can see that 160/3π is greater than 40/3π and 80/3π
Hence, cone C has the highest volume
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Add. −73+92 Enter your answer in the box.
Answer:
19
Step-by-step explanation:
-73 + 92
92 - 72 = 19
Identify the change in the parent function that will produce the related function shown as a dashed line. f(x)=x^3 cubic function graph
The change is a translation of 2 units to the left and 3 units up.
What is the change in the graphed function?We can see that the critical point of the cubic function is at (0, 0), while the one for the translated function is at (-2, 3)
Then we have a translation of 2 units to the left and 3 units up, then we can write this as:
g(x) = f(x + 2) + 3
Where f(x) is the parent cubic function; f(x) = x³
Then the formula for the translated function is:
g(x) = (x + 2)² + 3
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the simple interest on $15000 for three months at 10% per annum is
9514 1404 393
Answer:
$375
Step-by-step explanation:
The interest formula for simple interest is ...
I = Prt . . . . on amount P, at annual rate r for t years.
Here, t = 3/12 = 1/4, r = 0.10, P = $15,000, so the interest is ...
I = $15,000·0.10·0.25 = $375
The simple interest is $375.
1/2(x-2)<3/4(1-3x) <-2
Answer:
\(0.5x-1<0.75-2.25x<-2\)
Step-by-step explanation:
\(0.5(x-2)<0.75(1-3x)<-2\\0.5x-1<0.75-2.25x<-2\)