Answer:
$2.34
Step-by-step explanation:
30x0.078=2.34
Carlos is digging a pond in his backyard as shown. The area of the
rectangular backyard is 6x + 14x - 12 square yards. The circular pond will
cover an area of 3x? - 4x + 5 square yards. Which expression represents the
area of the gray region, the area of the land remaining in the backyard?
Please answer!!!!
The expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards. The correct option is B.
The area of the gray region is the area of the rectangular backyard minus the area of the circular pond.
The area of the rectangular backyard is given as 6x+14x-12 square yards, which simplifies to 20x-12 square yards.
The area of the circular pond is given as 3x²-4x+5 square yards.
So, the area of the gray region is:
(20x-12) - (3x²-4x+5)
= 20x-12 - 3x²+4x-5
= 3x²+10x-17
Therefore, the expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards.
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A car speeds up from 8.50 m/s to
22.2 m/s in 3.84 s.
The acceleration of the car is:
A. 20.0 m/s2
B. 7.99 m/s2
C. 2.72 m/s2
D. 3.57 m/s2
Can some one help me
Answer:
Step-by-step explanation:
Line A:
Mark two points in line A.
(1,3) & ( 2 , 5)
[tex]Gradient =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{5-3}{2-1}=\dfrac{2}{1}\\\\\\= 2[/tex]
Line B:
(0,5) ; (5,0)
[tex]Gradient = \dfrac{0-5}{5-0}=\dfrac{-5}{5}=-1[/tex]
15 divided by 1/5 as quotient
Answer:
15/1/5=15*5=75.
Step-by-step explanation:
any smart people that know math know whats going on
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
What other information do you need in order to prove the triangles congruent using the SAS Postulate?
Answer:
AC is perpendicular to BD.
Further explanation
We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that is reflexive.
The length of the base of the triangle is the same, i.e., .
In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely . Thus we get ∠ACB = ∠ACD = 90°.
Conclusions for the SAS Congruent Postulate from this problem:
∠ACB = ∠ACD
- - - - - - - - - -
The following is not other or additional information along with the reasons.
∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and
∠BAC = ∠DAC no, because that is ASA with and ∠ACB = ∠ACD.
no, because already marked.
- - - - - - - - - -
Notes
The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.
The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.
The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.
The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.
Learn more
Which shows two triangles that are congruent by ASA? brainly.com/question/8876876
Step-by-step explanation:
Simplify the expression 8h + (-7.7d) -14 + 5d - 2.4h.
Answer:
8h - 7.7d - 14 + 5d - 2.4h
5.6h - 2.7d - 14
Answer:
8h+-7.7d-14+5d-2.4h
Combine -7.7d and 5d to get -2.7d.
8h-2.7d-14-2.4h
Combine 8h and -2.4h to get 5.6h.
5.6h-2.7d-14
Step-by-step explanation:
id k
Danny Whitman, un analista de valores de Your Bottom Dollar, Inc. Siempre ha considerado que es más probable que los bonos convertibles se sobrevaloren más que los bonos de ingresos. De 312 bonos convertibles del año anterior, Danny encontró que 202 estaban sobrevalorados,
mientras que 102 de los 205 bonos de ingreso estaban sobrevalorados. ¿Estos datos confirman la posición de Danny? Sea =., y pruebe la hipótesis
Existe un mayor porcentaje de bonos convertibles sobrevalorados comparado con el porcentaje de bonos de ingresos sobrevalorados, con lo cual la afirmación de Danny es correcta.
Dado que Danny Whitman, un analista de valores de Your Bottom Dollar, Inc. siempre ha considerado que es más probable que los bonos convertibles se sobrevaloren más que los bonos de ingresos, y de 312 bonos convertibles del año anterior, Danny encontró que 202 estaban sobrevalorados, mientras que 102 de los 205 bonos de ingreso estaban sobrevalorados, para determinar si estos datos confirman la posición de Danny se debe realizar el siguiente cálculo:
202/312 = 0.6474102/205 = 0.4975Por lo tanto, existe un mayor porcentaje de bonos convertibles sobrevalorados comparado con el porcentaje de bonos de ingresos sobrevalorados, con lo cual la afirmación de Danny es correcta.
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PLS help im stuck i dont understand how to do the problem
The distance from the post office to a supermarket is 0.5 km. What is the distance in meters?
Enter your answer in the space provided.
The distance from the post office to the supermarket is
meters.
Answer:
The answer is 500 meters
Step-by-step explanation:
I got it right
Please mark me as brainly!
Please leave a 5 star review
Have a good dat!
:)
Given the formula:
[tex]x = \frac{1 + a}{1 - a} [/tex]
Solve for "a" when x=12.
[tex]12 = \frac{1+a}{1-a} => 12(1-a)= 1+ a \\=> 12 -12a = 1 + a => 12a+1 = 12-1 \\=> 13a = 11 => a= \frac{11}{13}[/tex]
ok done. Thank to me :>
What is the Slope of the line that passes through points (4, -2) and (3, 1)?
Answer:
-3
Step-by-step explanation:
slope formula is y2-y1 over x2-x1
if we plug in the values and solve, that gets you -3.
Answer:
-3
Explanation:
1-(-2) divided by 3-4
sand is falling off a conveyor in a conical pile at a constant rate of 2 cubic yards per minute. The height of the sand is equal to the radius of the pile of sand on the ground. If the cone-shaped pile is 3 feet tall now, how tall will it be in one hour?
The volume of a cone is (1/3)πr2h.
In this problem r=2h or h=(1/2)r
Hence V = (1/6)πr3
dV/dt = (1/2)πr2 dr/dt
With this information you should now be able to answer the question. Remember the relation between r and h!
never mind i was right
im also so sorry if you dont understand or its not one of the answers
Answer:
t a sand and gravel plant, sand is falling off a conveyor, and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?
Step-by-step explanation:
I got this problem solved so I no longer need help
Answer:
then whats the point
Step-by-step explanation:
Suppose that the function h is defined, for all real numbers, as follows
Chad collected 256 M&Ms but lost 5/8 of them on his way to
sehool through a hole in his
bag. When he arrived at school how many M&Ms did Chad have left?
Chad had 96 M&Ms left when he arrived at school.
Chad initially collected 256 M&Ms.
However, he lost 5/8 of them on his way to school through a hole in his bag.
To determine how many M&Ms Chad had left when he arrived at school, we need to calculate the fraction that represents the M&Ms he did not lose.
If Chad lost 5/8 of the M&Ms, it means he kept 1 - 5/8 = 3/8 of them.
To find the number of M&Ms Chad had left, we multiply 3/8 by the total number of M&Ms he initially collected:
(3/8) [tex]\times[/tex] 256 = (3 [tex]\times[/tex] 256) / 8 = 768 / 8 = 96.
Therefore, Chad had 96 M&Ms left when he arrived at school.
In summary, Chad initially collected 256 M&Ms but lost 5/8 of them, leaving him with 3/8 of the total.
Multiplying 3/8 by 256 gives us 96 M&Ms, which is the number of M&Ms Chad had left when he arrived at school.
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question in doc below .
The answer is:
y=2x+3
Grafica
Y=X^2.
Y=-x^2.
Y=x^2 +2
Y=X^2-2
Y=2x^2
Answer:
y=x^2 is a parabola when y is x squared
y=-x^2 is the first one but when it is flipped over the x axis
y=x^2+2 is the first one shifted two up
y=x^2-2 is the third one but shifted 4 units down
y=2x^2 is the first one but two times the square of x
Step-by-step explanation:
What is equivalent to 1/3 P +15
Answer:
1/3(p + 45)
Step-by-step explanation:
1/3 p + 15 is the same as 1/3(p + 45)
-Chetan K
PLEASE HELP ME I'LL GIVE YOU BRAINLIEST
Answer:
1. The measure of a right angle is greater than the measure of an acute angle.
2. Given
3. Perpendicular lines form right angles.
4. If two angles of a right triangle...
(Please thank and rate if my answer helped!!!!)
Step-by-step explanation:
If x = 100, what is the value of x(x-4)?
Answer:
9,600
Step-by-step explanation:
100-4 is 96
96 times 100 is 9600
A company makes a profit of $y (in thousand dollars) when it produces x computers, where y is given by the formula = ( − 100)( − 200) for ≥ 0 If 120 computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
(7 marks) c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
lol no
just give up in life
The function is used to model real life situation
The value of a is -2000 150 computers must be produced to maximize the profit of $5,000,000 A range of 140 to 160 computers would give the company at least $4,800,000
(a) The value of a
The function is given as:
[tex]\mathbf{y = a(x - 100)(x - 200) }[/tex]
The profit on 120 computers is 3200000.
So, we have:
[tex]\mathbf{3200000 = a(120 - 100)(120 - 200) }[/tex]
[tex]\mathbf{3200000 = -1600a}[/tex]
Divide both side by -1600
[tex]\mathbf{a = -2000}[/tex]
Hence, the value of (a) is -2000
(b) The maximum profit
The function becomes
[tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
Expand
[tex]\mathbf{y = -2000(x\² - 200x - 100x + 20000)}[/tex]
[tex]\mathbf{y = -2000(x\² - 300x + 20000)}[/tex]
Expand
[tex]\mathbf{y = -2000x\² + 600000x - 40000000}[/tex]
Differentiate
[tex]\mathbf{y' = -4000x + 600000}[/tex]
Set to 0
[tex]\mathbf{-4000x + 600000 = 0}[/tex]
Collect like terms
[tex]\mathbf{4000x = 600000}[/tex]
Divide both sides by 4000
[tex]\mathbf{x = 150}[/tex]
Substitute 150 for x in [tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]
[tex]\mathbf{y = -2000(150 - 100)(150 - 200)}[/tex]
[tex]\mathbf{y = 5000000}[/tex]
150 computers must be produced to maximize the profit of $5,000,000
c) Range when the target is at least $4,800,000
This means that:
[tex]\mathbf{y \ge 4800000}[/tex]
So, we have:
[tex]\mathbf{-2000x\² + 600000x - 40000000 \ge 4800000}[/tex]
Collect like terms
[tex]\mathbf{-2000x\² + 600000x - 40000000 - 4800000 \ge 0}[/tex]
[tex]\mathbf{-2000x\² + 600000x - 44800000 \ge 0}[/tex]
Divide through by -2000
[tex]\mathbf{x\² - 300x +22400 \le 0}[/tex]
Factorize
[tex]\mathbf{(x - 140)(x - 160) \le 0}[/tex]
Express as inequality
[tex]\mathbf{140 \le x \le 160}[/tex]
A range of 140 to 160 computers would give the company at least $4,800,000
Read more at:
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Does the point (2, 5) satisfy the equation y = x + 3?
yes
no
Answer:
YES
Step-by-step explanation:
You just need to plug in the numbers
x=2
y=5
5=2+3
5=5
So it is yes.
negitive ten is no less than two times a number plus fourteen
Answer:
Negative 12
Step-by-step explanation:
-10 ≥ 2x + 14
-24 ≥ 2x [subtract 14 from both sides]
2x ≤ -24 [read right to left]
x ≤ -12 [divide both sides by 2]
Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are represented in the circle graph below. About how much time altogether was spent on homework and eating?
Can Someone Help me please
Answer:
As no graph is provided you can only solve it.Steps provided below
Graph of 7students so there must be 7 partsMark the point on graph where home work and painting is mentioned.Add both the respective valuesYes you have done it
y=mx+b
y=2/5x + b
b=?
Answer:
y=b+2x/5 in slope- intercept form.
Step-by-step explanation:
Hope this helps :)
5у2х 1.5y
If you could do this asap ty
Answer:
[tex]2.5y^{3}x[/tex]
Solve the absolute inequality: |4x-5| >3
Answer:
x > 2 or x < 1/2
Step-by-step explanation:
|4x - 5| > 3
Case 1 Case 2
4x - 5 > 3 - (4x - 5) > 3
4x > 5 + 3 - 4x + 5 > 3
4x > 8 -4x > - 5 + 3
x > 2 -4 x > - 2
-x > -2/4 multiply by -1 to make "x" positive and
this action with change all signs :
any negative becomes positive and
> becomes <
x < 2/4
x < 1/2
need help for this question
The first one it's the first image, and the second one is the second image.
The angles of a triangle are in the ratio 2 : 3 : 4 . find the angles of the triangle .
don't give unwanted ans to get the points
well explained ans needed !!
spammers and plagiarism = reported
thx !!
[tex]\pink{Answer}[/tex]
The measure of ∆a = 2x The measure of ∆b = 3x The measure of ∆c = 4x[tex]\\ \sf\longmapsto2x + 3x + 4x = 180 \\ [/tex]
[tex]\\ \sf\longmapsto9x = 180 = > x = 20[/tex]
[tex]\\ \sf\longmapsto \: a = 2x = 2 \times 2 0 = 4 0 [/tex]
[tex]\\ \sf\longmapsto \: b \: = 3x = 3 \times 20 = 60[/tex]
[tex]\\ \sf\longmapsto \: c = 4x = 4 \times 20 = 80[/tex]
hence , angles of the triangle are 40 , 60 and 80
The angles of a triangle are in the ratio 2 : 3 : 4 . find the angles of the triangle .
Answer:-40° , 60° and 80°
Explanation:-We know that sum of all the angles of a triangle adds to 180° .
Let the angles be 2x , 3x and 4x
Now,
=> 2x + 3x + 4x = 180°
=> 9x = 180°
=> x = 180/9
=> x = 20°
(The value of x is 20)
2x = 2 × 20 = 40°3x = 3 × 20 = 60°4x = 4 × 20 = 80°7c + 8d = 5A
solve for a
(just rearrange the equation for the answer, I forgot how to)
Answer:
A=7c/5 + 8d/5
Step-by-step explanation:
Answer:
A = [tex]\frac{7c+8d}{5}[/tex]
Step-by-step explanation:
7c + 8d = 5A ( isolate A by dividing both sides by 5 )
[tex]\frac{7c+8d}{5}[/tex] = A