Answer:
s/4
Step-by-step explanation:
you need to divide the total amount of sandwiches by 4 boys
-5x+3y=-30
Find x interception
The x-intercept of given equation is x=6 and point is (6,0).
Given the equation is -5x+3y=-30.
Here, we will find the x-intercept of the given equation.
The x-intercept is the point at which a line intersects the x-axis and the y-intersection is the point where a line intersects the y-axis.
We will find the x-intercept by substituting y=0 and applying the inverse operations.
Firstly we will substitute y=0 in equation, we get
-5x+3(0)=-30
Now, we will simplify this, we get
-5x+0=-30
-5x=-30
Further, we will divide both sides with -5, we get
-5x/-5=-30/-5
x=-6
Hence, the x-intercept of the given equation -5x+3y=-30 is x=6.
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Solve |x-5| > -2. Write your solution in interval notation.
Answer:
(−∞,∞)
Step-by-step explanation:
Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.
All real numbers
So, the answer is (−∞,∞)
Multiply 6.7 x 104 times 4.8 x 106 by using scientific notation. Round your answer to one decimal place in scientific notation with no spaces.
Answer:
3.216×\(10^{11}\)
Step-by-step explanation:
I'm assuming 104 is \(10^{4}\) and 106 is \(10^{6}\).
6.7×\(10^{4}\)×4.8×\(10^{6}\)=
32.16×\(10^{10}\)=
3.216×\(10^{11}\)
Our answer is 3.216×\(10^{11}\).
A box contains 2 red marbles, 5 green marbles and 8 blue marbles. Find the probability of the different events.
P ( 3 blue ) =
P (blue & green)
The value of the probability of the different events are,
The value of the probability P (3) is,
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/45
We have to given that;
A box contains 2 red marbles, 5 green marbles and 8 blue marbles.
Hence, Total marbles = 2 + 5 + 8 = 15
So, The value of the probability P (3) is,
⇒ 3 / 15
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/15 x 5/15
⇒ 8/15 x 1/3
⇒ 8 / 45
Thus, The value of the probability P (3) is,
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/45
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Edwin sells jars of jam for $1.90 each. Determine how many jars of jam Edwin needs to sell to break even if the variable cost per jar is $1.10 and fixed expenses are $35,700.00 per year.
Edwin needs to sell 44,625 jars of jam to break even.
To determine how many jars of jam Edwin needs to sell to break even, we'll calculate the breakeven point using the following formula:
Breakeven Point = Fixed Expenses / (Selling Price per Unit - Variable Cost per Unit)
Given information:
Selling Price per Unit (SP) = $1.90
Variable Cost per Unit (VC) = $1.10
Fixed Expenses = $35,700.00 per year
Plugging in the values into the formula:
Breakeven Point = $35,700 / ($1.90 - $1.10)
Breakeven Point = $35,700 / $0.80
Breakeven Point = 44,625 jars
Therefore, Edwin needs to sell 44,625 jars of jam to break even.
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In triangle ABC acute angles are in the ratio 5:1, i.e.
Answer:
The quen is as following:
ABC is a right triangle at C,
Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1
If CH is an altitude to AB and CL is an angle bisector of ∠ACB, find m∠HCL.
The solution is: m∠HCL = 30°
Step-by-step explanation:
See the attached figure.
∵The triangle is right at C ∴∠C = 90°
∴∠A + ∠B = 90° ⇒(1)
∵ Acute angles are in the ratio 5:1, i.e. ∠BAC : ∠ABC = 5:1
∴∠A = 5 times ∠B
Substitute at (1)
∴ 5 ∠B + ∠B = 90° ⇒⇒⇒ ∴∠B = 15° and ∠A = 75°
∵CL is an angle bisector of ∠ACB
∴ ∠ACL = 90°/2 = 45°
∵ CH is an altitude to AB ⇒ ∠CHA = 90°
At the triangle AHC:
∠ACH = 180° - (∠CHA + ∠CAH) = 180° - (90° + 75°) = 15°
∴ ∠HCL = ∠ACL - ∠ACH = 45° - 15° = 30°
COME ON HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP LOSING POINTSS HERE!!!!!
Answer:
The 1st one for the first pic and I'm not sure but c for the 2nd one
Answer:
a and c
Step-by-step explanation:
Help quick
I need the answer
Answer:
Step-by-step explanation:
A. is 65
B. is 78
C. is 37
Answer:
Angle (A) : 65 degree
Angle (B) : 78 degree
With regard to financial terminology related to a home or other asset, the word
appreciate means to
a.
b.
grow in value
honor the terms and conditions of the loan agreement
pay off the mortgage or other debt
lose value due to the effects of inflation
C.
d.
Answer:
a. grow in value
Step-by-step explanation:
Financial accounting is an accounting technique used for analyzing, summarizing and reporting of financial transactions like sales costs, purchase costs, account payables and receivables of an organization using standard financial guidelines such as Generally Accepted Accounting Principles (GAAP) and financial accounting standards board (FASB).
This ultimately implies that, it involves specific processes such as recording, summarizing, analysis and reporting of financial transactions with respect to business operations over a specific period of time. Financial experts or accountant uses either the cash basis or accrual basis of accounting.
With regard to financial terminology related to a home or other asset, the word "appreciate" means to grow in value. Thus, an asset that appreciates simply means that it's growing in value over a specific period of time compared to it's initial value.
On the other hand, depreciation can be defined as the reduction of cost of a fixed asset systematically until the value of the asset becomes zero.
Graph the solution to the inequality on the number line.
q<69.5
The graph of the solution to the given inequality on the number line plotted is attached.
Inequalities are the mathematical expressions in which both sides are not equal.
In inequality, unlike in equations, we compare two values.
The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is q < 69.5.
The result can be shown in multiple forms.
Inequality Form:q<69.5
Interval Notation:(−∞,69.5)
Therefore, the graph the solution to the given inequality on the number line plotted below.
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Find the value of y.
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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11. In the figure above, point B lies on side AC. If 55 < x < 60, what is one possible value of y?
simple math! i'll mark you if you get it right
$100 because if you follow the line from 5 hours to the line it lines up with 100 dollars
27
Here are the first four terms of an arithmetic sequence.
- 6 -2 2
(a) Find an expression, in terms of n, for the nth term of this sequence.
(b) Find the 10th term of this sequence.
(2 part question; enter answers for (a) and (b) in the answer box below) *
(3 Points)
Answer: (assuming the first three terms are -6, -2, 2)
(a) f(n) = 4n - 10
(b) 30
Step-by-step explanation:
(So, just as a preface, I made this answer assuming the first three terms are -6, -2, and 2 since I couldn't find a provided fourth term as the problem said)
(a) In order to create an equation for an arithmetic sequence, you need to find the common difference(d) and the 0th term. You can find the common difference by finding the difference between two consecutive terms:
2 - (-2) = 4 (or (-2) - (-6) = 4), so d = 4
Now, you need to find the 0th term. To do this, you can just subtract the d from the first term, -6:
-6 - 4 = -10.
At this point, you can write the equation:
f(n) = -10 + 4n (this is the 0th term plus the common difference, 4, times the nth term)
f(n) = 4n - 10 (reorganize by value of exponents)
(b) In order to find the 10th term, you just need to plug it into the previous equation:
where n = 10, and f(n) = 4n - 10,
f(n) = 4(10) - 10 (substitute n into the equation)
f(n) = 40 - 10 (multiply the term in the parenthesis by the constant)
f(n) = 30 (subtract)
99 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Two stockpots are similar cylinders. The smaller stockpot has a height of 10 inches and a radius of 2.5 inches, the volume of larger one is 628.32 cubic inches.
We know that, to find volume:
Volume = π * \(r^2\) * h
For the smaller stockpot:
Radius (r) = 2.5 inches
Height (h) = 10 inches
Volume = π * (2.5)² * 10 ≈ 196.35 cubic inches
For the larger stockpot:
Radius (r) = 2.5 inches
Height (h) = 16 inches
Volume = π * (2.5)² * 16
≈ 628.32 cubic inches
Thus, the volume of larger one is 628.32 cubic inches.
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solve picture question
Answer:
As it ایس the correct answer is 45
78
7.90
Answer:
Its me Viktor Kozhanov may I have brainliest pleaseI also answered all you questions so give brainliest to those as well
Step-by-step explanation:
Show that the angle bisector of an equilateral triangle is perpendicular to the base
To show that the angle bisector of an equilateral triangle is perpendicular to the base, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.
How to prove that the angle bisector is perpendicular to baseAfter getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.
We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.
Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.
Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.
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2. I am a regular polygon. One of my interior angles is 135°. What size is one of
my exterior angles?
Answer:
45°
Step-by-step explanation:
Given a polygon with an interior angle of 135°, you want to know the measure of the corresponding exterior angle.
Exterior angleAt any given vertex of a polygon, the interior and exterior angles are supplementary:
exterior angle = 180° - interior angle
exterior angle = 180° -135°
exterior angle = 45°
Answer: The sum of the interior angles of a regular polygon can be found using the formula:
(n-2)180°, where n is the number of sides of the polygon.
Let's call the number of sides of the polygon "s".
We know that one of the interior angles is 135°, so we can set up an equation using the formula for the sum of the interior angles:
s * 135° = (s-2)180°
Expanding the right side of the equation:
s * 135° = (s-2) * 180°
s * 135° = s * 180° - 360°
Solving for s:
135° = 180° - 360°/s
135° = 180° - 2 * 180°/s
135° = 180° - 2 * (180°/s)
180° - 135° = 2 * (180°/s)
45° = (180°/s)
So, s = 180° / 45° = 4 sides.
The size of one exterior angle can be found by subtracting each interior angle from 360°:
360° - 135° = 225°.
Therefore, one exterior angle of the polygon is 225°.
Step-by-step explanation:
As an investment, a couple bought a house for 2.7 million. Two years later sold it for $5 million what was their profit
Which percent is equivalent to 2 5/6?
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
What is the value of (2/3)^4 ?
Answer:
THE ANSWER IS 81/16 OR C
749/d * d/749 = 1
d=?
Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
Find the length of the arc, s, on a circle of radius r intercepted by a central angle theta. Express the arc length in terms of pi. Then round your answer to two decimal places. Radius, r = 10 inches; Central angle, theta = 45 degrees
Answer:
arc = 2.5π
Step-by-step explanation:
the circumference of the circle is:
2(10)(π) = 20π
45°/360° = 1/8
(1/8)20π = 2.5π
solve for sin3theta
Answer:
sin 3 θ = 3 sin θ - 4 sin³θ
Step-by-step explanation:
Step(i):-
Given sin 3 θ
= sin ( 2θ + θ )
apply trigonometric formula
sin ( A + B) = sin A cos B + cos A sin B
sin 2 A = 2 sin A cos B
Cos 2 A = 1 - 2 sin² A
cos ² A - sin ² A = 1
Step(ii):-
sin 3 θ = sin ( 2θ + θ )
= sin 2θ cosθ + cos2θ sin θ
= 2 sin θ cos θ cos θ +( 1 - 2 sin² θ )sin θ
= 2 sin θ (cos² θ ) + sin θ- 2 sin³ θ
= 2 sin θ ( 1- sin²θ) + sin θ- 2 sin³ θ
= 2 sin θ - 2sin³θ + sin θ- 2 sin³ θ
= 3 sin θ - 4 sin³θ
Final answer :-
sin 3 θ = 3 sin θ - 4 sin³θ
I’m not good at these I need help
Answer:
f(3) = 9
Step-by-step explanation:
From the table, when can see that when x is 3, f(x) is 9.
Therefore, f(3) = 9
Answer:
\(f(3)\)=9
Step-by-step explanation:
\(f(x)\) is x times a function.
so if you look at the table on the 'x' side and go down the table until you reach '3' and see what number on the 'f(x)' side corresponds with it, you will see '9'
so \(f(3) = 9\)
and that means your answer is D
so my kid dosent know this 468 divided by 32
Answer:
14.625
Step-by-step explanation:
Answer: 14.625
Step-by-step explanation: can i have brainliest?
Kathryn invests $8,327 in a savings account with a
fixed annual interest rate compounded continuously. After
10 years, the balance reaches $18,532.08. What is the
interest rate of the account?
Answer:
Below
Step-by-step explanation:
The equation to use for CONTINUOUS compounding is :
FV = PV e^(it)
18532.08 = 8327 * e^( i*10) where i is the interest in decimal form
18532.08/8327 = e^(10i)
2.225541 = e^(10i) now take natural log (ln) of both sides to get
.8000 = 10i
i = .08 or 8% interest
evaluate the intergral2x(xsquared+3)exponent 4
Answer:
Step-by-step explanation:
I hope it helped you
Identify the proof to show that △ABD≅△CBD
, where ∠BDA≅∠BDC
are right angles, D
is the midpoint of AC¯¯¯¯¯
, AB¯¯¯¯¯≅BC¯¯¯¯¯
, and BD¯¯¯¯¯
bisects ∠B
.
The figure shows two triangles A B D and C B D with a common side B D. Points A, D, C lie on one line.
We have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.
To prove that △ABD ≅ △CBD, we can use the SAS (Side-Angle-Side) congruence criterion.
Given:
∠BDA ≅ ∠BDC (Both are right angles)
D is the midpoint of AC¯¯¯¯¯
AB¯¯¯¯¯ ≅ BC¯¯¯¯¯
BD¯¯¯¯¯ bisects ∠B
Proof:
Since D is the midpoint of AC¯¯¯¯¯, we have AD ≅ CD by the definition of a midpoint.
AB¯¯¯¯¯ ≅ BC¯¯¯¯¯ (Given)
BD¯¯¯¯¯ is a common side for both triangles.
∠BDA ≅ ∠BDC (Given)
To apply the SAS congruence criterion, we need to show that one pair of corresponding sides and the included angle are congruent in both triangles.
AD ≅ CD (Side) - This is true as D is the midpoint of AC¯¯¯¯¯.
∠BDA ≅ ∠BDC (Included Angle) - Both are right angles.
By the SAS congruence criterion, we can conclude that △ABD ≅ △CBD.
Therefore, we have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.
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Calculator The diameter of a ball is 9 in. What is the volume of the ball? Use 3.14 for pi. Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth. in³
To find the volume of a ball, we use the formula V = (4/3)πr³, where r is the radius of the ball. We are given the diameter of the ball, which is 9 inches.
The radius of the ball is half of the diameter, so
r = 9/2 = 4.5 inches.
Substituting this value of r in the formula, we get:
V = (4/3)π(4.5)³V = (4/3)π(91.125)V = 4.1888 × 91.125V ≈ 381.71
Therefore, the volume of the ball is approximately 381.71 cubic inches.
When rounded to the nearest hundredth, the answer is 381.71.
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