Answer:
The number is 11.
Step-by-step explanation:
Step one: Convert to algebraic equation
4 x ( a -6 ) = 20
Step two: Simplify both sides of the equation.
4 (a −6) = 20
(4)(a) +(4)(−6) = 20 (Distribute)
4a +−24 = 20
4a −24 = 20
Step three: Add 24 to both sides.
4a −24 +24 = 20 +24
4a = 44
Step four: Divide both sides by 4.
(4a /4) = (44 /4)
a = 11
Please help me
The probability distribution table describes Eric's movie collection.
What is the probability that a movie chosen at random is a drama or an action movie?
Thriller Drama Comedy Action
The population of a specific species of nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted. Identify and interpret the key features of the exponential function modeled in terms of this situation.
Of the given options, the correct options are [1], [4], [6], [7].
What is a general equation of a exponential function? What is Asymptote of a curve?The general equation of a exponential function is -
y = aeˣ
It's graph is plotted and attached below.
In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the [x] or [y] approaches zero.
Given is the population of a specific species of nocturnal mammal is decreasing at a rate of 3.5%/year.
We have the graph in the question as shown. Of the given options, the correct options are [1], [4], [6], [7].
Therefore, Of the given options, the correct options are [1], [4], [6], [7].
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2)4,135 in long division please!
Answer:
2067.5
Step-by-step explanation:
divide each number and when you get to the end add a zero for the decimal.
B) A publiher i planning to publih a new textbook. The fixed cot are h. 400,000 and the variable cot are h. 35 per book. The wholeale price will be h. 45 per book. How many book mut the publiher ell to break-even? (5mk)
To reach the break-even point, the publisher should sell 40,000 books.
A break-even point (BEP) is the point where revenues = total cost. Hence, at this point, the company does not gain profit or loss.
On the other hand, total cost is calculated as:
Total cost = fixed cost + variable cost
Where variable cost depends on the number of units produced.
Therefore,
Total cost = fixed cost + number of unit produced x cost per unit
Parameters given in the problem:
fixed cost = h. 400,000
unit cost = h. 35
selling price = h.45 per unit
Let p be the number of books sold. Then,
Revenues = 45 x p
Total cost = 400,000 + 35 x p
At break-even point:
Revenues = total cost
45 x p = 400,000 + 35 x p
10 p = 400,000
p = 40,000
Hence, the break-even point is 40,000 books
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how do you write 0.1312 as a percentage
Answer:
13.12%
Step-by-step explanation:
Cade and Kohl had 55 candy bars to sell . Kohl sold 25 of them of them and Cade sold 20 of them. What fraction of the candy bars do the boys have left to sell
At 80°F, a certain insect chirps at a rate of 102 times per minute, and at 87°F, they chirp 116 times per minute. Write an equation in slope-intercept form that represents the situation.
The situation can be represented in a linear equation using a slope-intercept form as y = 2x - 58
Linear EquationA linear equation is an algebraic equation of the form y = mx + b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
Data;
y₁ = 102y₂ = 116x₁ = 80x₂ = 87We can find the slope of the line using
m = y₂ - y₁ / x₂ - x₁
Substituting the values into the equation
m = 116 - 102 / 87 - 80
m = 2
We can find the y-intercept using any point.
y = mx + c
102 = 2(80) + c
102 = 160 + c
c = -58
The equation in slope-intercept form will be y = 2x - 58
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Choose whether the expression is a result of multiplying
conjugates together, squaring binomials, or neither.
81x² - 36
O both
O square binomial
O multiplying conjugates
O neither
The given expression 81x[tex]^2-[/tex] 36 is a multiply of conjugates.
In the given question we have to find expression is a result of multiplying conjugates together, squaring binomials, or neither.
The given expression is 81x[tex]^2-[/tex]36.
If we simplify the expression, then it is written as;
81x[tex]^2-[/tex] 36=(9x)^2-(6)^2
We write it as
81x[tex]^2-[/tex] 36=(9x-6)(9x+6)
It is a multiply of conjugates.
Hence, the given expression 81x[tex]^2-[/tex] 36 is a multiply of conjugates.
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Write the correct function represented in the table below
The correct function represented in the table given is y=2x+3.
Given table:
x y
0 3
1 5
2 7
3 9
Take any two points suppose take (0,3) and (1,5)
slope m = 5 - 3 / 1 - 0
= 2/1
m = 2.
(0,3) passes through y = mx + c
3 = m*0 + c
m value substitute
3 = 2*0 + c
3 = 0+c
c = 3.
y = mx+c
y=2x+3.
Therefore the correct function represented in the table given is y=2x+3.
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Drag the red and blue dots along the x-axis and y-axis to graph 5x + 7y = 28.
The x-intercept would be 5.6, and the y intercept would be 4, if that helps.
Create the graph of this quadratic function below please!
x2+3x-108
Make sure to have the two roots and axis of symmetry AKA the vertex.
The graph of the quadratic function x² + 3x - 108 is given by the image shown at the end of the answer.
How to obtain the graph of a quadratic function?Three features have to be considered to obtain the graph of a quadratic function.
The x-intercepts, which are the roots of the function.The y-intercept, which is the value of y when the function crosses the y-axis.The vertex, which is the turning point of the function.The function for this problem is defined as follows:
a = 1, b = 3, c = -108.
Hence the coefficients of the function are given by:
a = 1, b = 3, c = -108.
Inserting these points into a calculator, the x-intercepts of the function are:
x = -12.x = 9.Hence the function crosses the x-axis at x = -12 and at x = 9, and it is a concave up parabola, as the coefficient a is positive.
The y-intercept of the function is given as follows:
f(0) = 0² + 3(0) - 108 = -108.
Hence the graph crosses the y-axis at y = -108.
The axis of symmetry of the function is:
x = -b/2a = -3/2 = -1.5.
The y-coordinate of the vertex is:
f(-1.5) = (-1.5)² + 3(-1.5) - 108 = -110.25.
Which is the turning point of the graph.
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a rectangular storage container without a lid is to have a volume of 10m3. the length of its base is twice the width. material for the base costs 10$ per square meter. material for the sides costs 6$ per square meter. find the cost of materials for the least expensive such container.
The cost of materials for the least expensive such container is 245.31 dollars .
Suppose the width of container is x (m),
length of the base of container is 2x (m)
the base area of container is (length × width)sq. m i.e 2x² meter².
Since the volume of container is 10 m³.
the height of container = area of container/ volume of container
height of container= 10/2x² m = 5/x² m
The cost of making such container is cost of base = 2x²*10 = 20x².
cost of sides of container = (2×2x × 5/x² + 2× x × 5/x²)×6 = 180/x
The overall cost is hence the sum of the base and the sides: f(x) = 20x² + 180/x
The get the minimum,
df(x)/dx = 20×(2x - 9/x²) = 0
so 2x = 9/x^2 => 2x = 2.0800 ==> x = 1.651 m
f(x) = 245.31 dollars
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Factor 16x+80
Hint: 8(2x+?) ? is
80/8
Answer:
16(x+5)
Step-by-step explanation:
16x+80
=8(2x+10)
=16(x+5)
The algebraic factor of the given expression 16x + 80 will be 16(x + 5).
What is an algebraic factor?An algebraic factor is the multiplication of two algebraic terms.
That term could be in form of summation multiplication or in subtraction.
The root of the quadratic equation formed by the algebraic factor is always real.
As per the given expression,
⇒ 16x+80
Take 8 as common
⇒ 8(2x + 10)
Take 2 as common
⇒ 8 × 2 (x + 5)
⇒ 16 (x + 5)
Hence "The algebraic factor of the given expression 16x + 80 will be 16(x + 5)".
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Can anyone send the answers to these?
Answer:
1. 95=8x+55 8x=40 x=5 Reason: Since m and n are parallel, and a line traverse through it, they are corresponding angles, meaning that their angle is the same.
2. 200-2x=130 200-130=2x 2x=70 x=35 Reason: The two angles are the same because the "130-degree" angle's corresponding angle is the vertical angle of the "200-2x" angle.
3. Yes, we can use the corresponding angle theorem to prove that m and n are parallel.
4. No, there's not enough information to determine because both given angles are on line m, we need an angle on line n as well.
5. No, the same explanation as 4^^^ Vertical angles do not necessarily prove that two lines are parallel.
6. Yes, we can use the corresponding angles theorem, and then use the vertical angles theorem.
Good luck, and comment on anything you don't understand. I suggest you watch some help videos.
what is the confidence interval estimate of the population mean ?
In statistics, a confidence interval defines the possibility that a population parameter will fall between a set of values for a certain proportion of the time. Analysts commonly incorporate confidence zones that encompass 95% or 99% of the expected data. Thus, if a point estimate of 10.00 is derived using a statistical model with a 95% confidence interval of 9.50 - 10.50, there is a 95% chance that the real value falls within that range.
What is the need for Confidence Intervals?
Confidence intervals are one technique to illustrate how "accurate" an estimate is; the higher the 90% confidence interval for a certain estimate, the more the precaution advised when employing the estimate. Confidence intervals serve as a crucial reminder of the estimates' limitations.
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Please help me please , please
Answer:
mAngleT = 60°
mAngleU = 60°
TS = 13cm
SU = 13cm
Step-by-step explanation:
Since two of the sides are the same the two base angles are also the same. One is 60° so the other one is 60° also. But if they are both 60° and all the angles add up to 180° the last one has to be 60° also.
One side is marked 13cm. It is marked congruent to the left side so they are both 13cm.
But we saw from the angles all being the same, that this is actually an equilateral triangle. So all three sides are the same.
how do you write x^2+8x+7 in the complete square method? need help asap!!
Answer:
Step-by-step explanation:
Equation
y = x^2 + 8x + 7 Put brackets around the first two terms
y = (x^2 + 8x) + 7 Take 1/2 the linear term's coefficient (8)
8/2 = 4 Put this result inside the brackets and square
y = (x^2 + 8x + 4^2) + 7 Take - 4^2 and add it to the seven.
y = (x^2 + 8x + 16) + 7 - 16 What you did, did not change the eqiuation
Y = (x^2 + 8x + 16) - 9 The first 3 terms make a perfect square
y = (x + 4)^2 - 9
The minimum should be at - 4,-9 Just to make sure it is, I'll graph the original equation. The y intercept should be at 7 and the two x roots should x = + 3 - 4 and x = -3 - 4. or x = -1 and x = - 7
Let's see if this all checks out.
Graph of original equation.
From a group of 124 black women. If you select ten black women at random, assuming
independence, what's the probability:
a. At least one experienced IPV?
b. At least one did not experience IPV?
Answer:
This can go both ways but out of 124 black women and only 10 selected you have a chance at least one experienced IPV
Step-by-step explanation:
calcular la suma de las aristas de un cubo si su volumen es 64
Answer:
Step-by-step explanation:
V = 64
a = ∛V = ∛ 64 = 8
Sum = 12·a = 12·8 = 48
You are buying some television time and the station tells you that they reach 120,000 people. They quote you $2. 50 cpm (cost per thouand). How much will you have to pay for the time?.
Answer:
$48,000
Step-by-step explanation:
what is the product of 30 x 10 to the power of 5
Answer: 6 zeros
Step-by-step explanation: 30 x 10^5
using P.E.M.D.A.S
you do exponents first
10^5 = 100000
then 100000 x 30 = 3000000
and there is 6 zeros
Use a graphing calculator to plot each set of points. Which set shows a negative trend? a {(7, 3), (4, 0), (2, −3), (9, 5)}
b {(−1, 9), (2, 4), (−2; 12), (5, 1)}
c {(4, 5), (8, −1), (2, 3), (−4, −2)}
d {(0, 0), (−4, −7), (6, 9), (−2, −3)}
The points that showed a negative trend is
b {(−1, 9), (2, 4), (−2; 12), (5, 1)}How to know a negative trend graphA graph with a negative trend line slope is said to have a negative trend.
The variables are shown to be negatively correlated, meaning that when one increases, the other decreases and vice versa.
An instance of such graphs would be a graph illustrating the relationship between a car's age and value.
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23. Which of the following equations is
NOT true?
A
B
80 x 15 = 1,200
0.8 × 15 = 12
80 X 0.15 = 1.2
80 X 1.5 = 120
Find the sum of the interior angles of a 17-sided polygon. 1,530° 2,017° 2,700° 3,060°
The sum of the interior angles of a 17-sided polygon is 2700 °.
Given:
sum of the interior angles of a 17-sided polygon.
we know that:
sum of interior angles = n-2 * 180
n = 17
= (17-2)*180
= 15*180
= 2700 °
Therefore the sum of the interior angles of a 17-sided polygon is 2700 °.
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Hi! I can’t figure out m<4 and m<5. Can anyone help me?
Answer:
Step-by-step explanation:
You are sorta on the right track, but .... ∠3+81°+∠4 =180°
along with 88°+∠1=180°
∠1-92°
I know why you put 88° for ∠2 but , it's only 88° from a line parallel to that top line, not the hypotenuse of the triangle. But good idea, just not able to apply that here.
you've nicely marked the two parallel lines so we know that ∠3 will math the other 64° angle , now you can solve for ∠2
∠1=92° and ∠3=64° so ∠2 must equal 180-92-64=24°
∠2=24°
now solve for ∠4
180-64-81=∠4
∠4=35°
finally we can get ∠5
180-35-64=∠5
∠5=81°
and , we should have also seen that ∠5 would be the same as the 81° angle above it by ∠3 and ∠4 since those lines are parallel.
Hope that helps :)
!DUE TMR! Im stuck on this Problem and it’s URGENT
You sell apple cider for a fundraiser. For each gallon of cider you sell, the company that makes the cider receives x dollars, and
you receive the remaining amount. You sell 15 gallons of cider for (15x + 45) dollars. How much money do you receive for
each gallon of cider that you sell?
You receive $
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left.
Write an equation to determine the number of friends (x) at Jack's party.
Answer:
x = 48/3
when Jack got 50 chocolates and has left 2, then Jack gave away 50-2=48 chocolates. When each friend got 3 chocolates, the number of friends x is equal to 48 divided by 3.
Answer:
x=16 (friends)
Step-by-step explanatn
50/3 = 16.6666
take away the .66666
so 16x3=48
meaning u would have 2 left over
i'll like someone's help for this question please.Solve for x in the equation x + 7 = −24.
31
−31
24
−17
Answer:
-31
Step-by-step explanation:
-31 add 7 on a calculator equals -24
Answer:
Step-by-step explanation:
Ok: Hi
1. First Isolate the x on the left side of equation. Remember that if a variable or number goes over the equal sign, it becomes opposite!
x+7=-24
x=-24-7
x=-31
2. Always double check equations!
-31+7=-24 TRUE
Answer x=-31 or choice B
Q36 this is geometry if anyones good at it can someone help me pls
Answer:
Q36 this is geometry if anyones good at it can someone help me pls
The real solutions to the equation 3x5 + 25x4 + 26x3 – 82x2 + 76x = 48 are shown on the graph. What are the nonreal solutions?
StartFraction 1 + i StartRoot 5 EndRoot Over 3 EndFraction, StartFraction 1 minus i StartRoot 5 EndRoot Over 3 EndFraction.
StartFraction negative 1 + i StartRoot 5 EndRoot Over 3 EndFraction, StartFraction negative 1 minus i StartRoot 5 EndRoot Over 3 EndFraction.
StartFraction negative 1 + StartRoot 5 EndRoot Over 3 EndFraction, StartFraction negative 1 minus StartRoot 5 EndRoot Over 3 EndFraction.
StartFraction 1 + StartRoot 5 EndRoot Over 3 EndFraction, StartFraction 1 minus StartRoot 5 EndRoot Over 3 EndFraction.
The non-real solutions according to the equation is (1 + √5 i)/3 and (1 - √5 i)/3.
What is Factor theorem?A polynomial can be factored, and its roots can be discovered using the factor theorem. The polynomial residual theorem is indeed a special instance of this one.
A polynomial f(x) has a factor (x-a), as was noted in the beginning, if and only if f(a) = 0.
As per the given equation in the question,
3x⁵ + 25x⁴ + 26x³ - 86x² + 76x - 48
The function can be written as:
f(x) = g(x).h(x) (i)
The real solutions from the graph is,
x₁ = -6, x₂ = -4 and x₃ = 1.
So,
g(x) = (x + 6) × (x + 4) × (x - 1)
g(x) = (x² + 10x + 24) × (x - 1)
g(x) = x³ + 9x² + 14x - 24.
Now, substitute the values in (i)
3x⁵ + 25x⁴ + 26x³ - 86x² + 76x - 48 = (x³ + 9x² + 14x - 24) × (ax² + bx + c)
Therefore,
ax⁵ = 3⁵
a = 3.
-24c = -48
c = 2.
-24(bx) + 14(cx) = 76x
-24b + 28 = 76
b = -2.
The equation for non-real solution:
h(x) = 3x² - 2x + 2.
Δ = b² - 4ac = (-2)² - 4(3)(2) = -20
x₁ = (2 + √20)/6 = (1 + √5 i)/3
x₂ = (2 - √20)/6 = (1 - √5 i)/3
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