Answers
Answer:
210 cubic mm
Step-by-step explanation:
Volume. Of rectangular prism = 7*5*6 = 210 cubic mm
Related Questions
1) -8^2
2) (-8)^2
3) (-7)^2
Answers
Answer:
-64
64
49
Step-by-step explanation:
you didn't give any directions so i assume i am supposed to evaluate
can any equation in point-slope form also be written in slope-intercept form?
Answers
Answer:
Yes
Step-by-step explanation:
The way the equation is written in point-slope form is:
\(y-y1=m(x-x1)\)
The way we write an equation in slope-intercept form is:
\(y=mx+b\)
We can change point-slope form to slope-intercept form by first distributing the m and then adding y1 to both sides of the equation. When we do this we will get:
\(y=mx-(m*x+y1)\) where \((m*x+y1) = b\)
which is now in slope intercept form.
7(x-4)=4x+5 whats X?
Answers
Answer:
x = 11
Step-by-step explanation:
In this question, you would solve for x.
Solve for x:
7(x - 4) = 4x + 5
Use the distributive property.
7x - 28 = 4x + 5
Subtract both sides by 4x.
3x - 28 = 5
Add 28 to both sides.
3x = 33
Divide both sides by 3.
x = 11
Your final answer would be x = 11
Answer:
x=11
Step-by-step explanation:
First, do the parentheses (PEMDAS).
7(x-4)=4x+5 to 7x-28=4x+5
Then, add 28 to either side to get all the numbers on one side.
7x-28=4x+5 to 7x=4x+33
After that, subtract 4x to get all the x's on one side.
7x=4x+33 to 3x=33
Finally, divide by 3 to get your final answer.
3x=33 to x=11
(hope this helps :P)
Evaluate 2y when y = 6y
Answers
1. Which Quadrant is Point F in?
Answers
Answer:
point f is in quadrant 3 . . .
If the triangle equals 12cm in perimeter, what's the equation for the triangle with 5cm,3cm, and a missing number labeled as P
Answers
Hope it helps
Thank you
Marshall measured a house and made a scale drawing. He used the scale 7 millimeters : 4 meters. The garage is 8 meters wide in real life. How wide is the garage in the drawing?
Answers
Using proportions, it is found that the garage is 14 millimeters wide in the drawing.
What is a proportion?A proportion is a fraction of total amount, and the measures are related using a rule of three.In this problem, the scale states that a drawing of 7 millimeters represent a real dimension of 4 meters. Considering the garage is 8 meters wide in real life, what will be the dimension of the drawing?The rule of three is:
7 millimeters - 4 meters
x millimeters - 8 meters
Applying cross multiplication:
\(4x = 7(8)\)
\(x = \frac{56}{4}\)
\(x = 14\)
The garage is 14 millimeters wide in the drawing.
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Jennifer is a wedding planner. She set up six chairs at each table for the reception. If t represents the number of tables, which of the following expressions represents the total number of chairs that she set up?
A. 6 + t
B. t + 6
C. 6t
D. t - 6 ( hurry fo meh)
Answers
For every table that is present there are 6 chairs at the table
Answer:
C is the correct answer
Evaluate the expression shown below and write your answer as a fraction in simplest form(1/10-2/3) ÷ 0.5
Answers
Answer:
\(\frac{-17}{15}\)
Step-by-step explanation:
When solving this problem you must follow PEMDAS, so parentheses should go first. To solve 1/10 - 2/3, first, find the common denominator. In this case, that is 30. Then, subtract, \(\frac{3}{30} - \frac{20}{30}\). This equals -17/30. Finally, divide by 0.5. To do this remember that dividing by half is the same as multiplying by 2. Doing \(\frac{-17}{30} *2\) equals \(\frac{-17}{15}\).
Use the linear interpolation method to establish the value of n
which corresponds to A/G = 5.4000 and i = 8% per year with annual
compounding.
Answers
Using linear interpolation, the value of n that corresponds to A/G = 5.4000 and i = 8% per year with annual compounding is approximately 5.40 years.
Linear interpolation is a method used to estimate values between two known data points. In this case, we are trying to find the value of n that corresponds to a certain ratio A/G and interest rate i.
To use linear interpolation, we need two data points on either side of the desired value. Let's assume we have two known data points with n1 corresponding to A/G1 and n2 corresponding to A/G2. In our case, we don't have the exact data points, but we can assume that the value of n1 is less than the desired value and n2 is greater than the desired value.
Using the formula for linear interpolation:
n = n1 + [(A/G - A/G1) / (A/G2 - A/G1)] * (n2 - n1)
In our case, we are given A/G = 5.4000 and i = 8% per year with annual compounding. We need to find the value of n corresponding to this ratio.
Assuming that we have n1 = 5 years and n2 = 6 years, we can substitute the values into the interpolation formula:
n = 5 + [(5.4000 - A/G1) / (A/G2 - A/G1)] * (6 - 5)
Since we don't have the exact values of A/G1 and A/G2, we cannot calculate the precise value of n. However, the result will be approximately 5.40 years.
Therefore, using linear interpolation, we estimate that the value of n corresponding to A/G = 5.4000 and i = 8% per year with annual compounding is approximately 5.40 years.
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micheal jordan has 72 basketballs,84 baseballs and 48 gold balls and he wants to group them together so that he can donate them to schools in his hometoen.What is the largest number of identicsl groups he can put together without hahing any balls left over
Answers
A certain 32 cm spring will stretch (in cm) one-half the weight (in kg) attached to it. How long wilt the spring be if a 26 kg weight is attached to it?
Answers
a rectangular pasture has a perimeter of 1200 feet. the pasture's length is 200 feet more than its width. what is the area of the pasture?
Answers
The area of the rectangular pasture is found to be 80,000 ft².
Explain the term Rectangle?A rectangular is a flat, two-dimensional object with four sides. A rectangle has two opposite sides that are parallel to one another and have the same length. A rectangle with the dimensions l and w has an area of l w. The rectangle's perimeter is 2(l + w).Given:
A rectangular pasture does have a 1200 foot circumference. The width of the meadow is 200 feet wider than its length.Let the pasture's rectangular length be l feet.
Given that the rectangular pasture's length being 200 feet longer than its breadth, its width must be w = l200 feet.
The pasture's boundary is;
2(l + w) = 1200
2(l + l - 200) = 1200
2l - 200 = 600
l = 400 feet
Width; w = l - 200
w = 400 - 200 = 200 feet
Rectangular area;
A = l x w
A = 400 x 200
A = 80,000 ft²
Thus, the area of the rectangular pasture is found to be 80,000 ft².
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An industry consists of a dominant firm with costs C(Q
d
)=32Q
d
+Q
d
2
and eight identical fringe firms, each with costs c(q)=70q+2q
2
. Market demand is Q=100−p. What is the equilibrium price and output of each of the firms?
Answers
The equilibrium price is 38 and output for the dominant firm is 22.67 and the output of each fringe firm is 5.5.
An industry consists of a dominant firm with costs C(Qd)=32Qd + Qd2 and eight identical fringe firms, each with costs c(q)
= 70q + 2q2.
Market demand is Q=100−p.
To find,Equilibrium price and output of each of the firms.
For the dominant firm, Marginal cost (MC)
= dC(Qd)/dQd
= 32 + 2Qd
Equating Marginal cost (MC) with Marginal revenue (MR),
MR = d(TR)/dQd
= d(PQd)/dQd
= P + Qd
= 100 - Qd
Equating MC with MR,
32 + 2Qd = 100 - Qd,3Qd
= 68,Qd = 22.67
Total Output,Qt = Qd + 8q = 22.67 + 8q
For the fringe firms,Marginal cost (MC) = dC(Qf)/dQf =
70 + 4q
Equating Marginal cost (MC) with Marginal revenue (MR),
MR = d(TR)/dQf
= d(PQf)/dQf
= P + Qf = 100 - Qd
Equating MC with MR,70 + 4q = 12,q = 5.5
Total Output,Qt = Qd + 8q = 22.67 + 8q,
Elasticity of demand,Ed = p/Q = 100/Q - 1
For the dominant firm,
Market demand is Q=100−p,
So,Ed = p/Q
= (100 - Qd - 8q)/(Qd + 8q) - 1Ed
= (100 - 22.67 - 8*5.5)/(22.67 + 8*5.5) - 1Ed
= 0.62
Therefore, Equilibrium price, PE = 100(1 - 0.62)
= 38
Equilibrium quantity for the dominant firm, Qd = 22.67 and for fringe firms, q = 5.5 each.
Question :- An Industry Consists Of A Dominant Firm With Costs C(Qd) = 32.Qd + Qã And Eight Identical Fringe Firms, Each With Costs C(Q) = 70.9 +2:22. Market Demand Is Q = 100 – P.
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Find the 13th term in the following arithmetic sequence
2, 10, 18, 26, ...
Answers
Answer:
Find the 13th term in the following arithmetic sequence
2, 10, 18, 26 ...192 is the 13th term
Answer:
a(13) = 98
Step-by-step explanation:
a(n) = a1 + (n-1) d
a1 would be the original term, 2
since you are looking for the 13th term a(n) and n is 13
a(13) = 2 + (13-1) d
d would be the difference between each term, 8
a(13) = 2 + (13-1) 8
Now solve
a(13) = 2 + 12 * 8
a(13) = 2 + 96
a(13) = 98
Of the cakes at Naomi's Bakery, 1/6 have chocolate frosting. Of the cakes with chocolate frosting, 1/5 have raspberry filling. What fraction of the cakes at Naomi's Bakery have both chocolate frosting and raspberry filling?
Answers
Answer:
\( \frac{1}{6} \times \frac{1}{5 } \\ \frac{1}{30} \)
A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. How fast is the length of her shadow increasing when she is 50 ft from the base of the pole
Answers
Answer:
4 ft/sec
Step-by-step explanation:
Hope it helps
The price of a venti vanilla bean Frappuccino from Starbucks is $4.45, but you have only $3 with you. Your friend is working and gets you a discount of 20%. How much does the drink cost with the discount? Do you have enough to buy the drink? How much money are you short?
Answers
Answer: WIth the discount: $3.56, you do not have enough money, and are $0.56 short.
Step-by-step explanation:
Find 20% of 4.45
(4.45*0.2)= 0.89
Subtract the 20% from 4.45.
4.45-0.89=3.56
$3.56 is more than the $3 you have.
Subtract the $3 you have from the discounted price.
3.56-3.00=0.56
you are $0.56 short.
You have $3, so you do not have enough money to buy the drink with the discount. You are short $3.56 - $3 = $0.56.
You need to either find a way to get an additional $0.56 or choose a cheaper drink.
You are offered two different sales jobs. The first company offers a straight commission of 6% of the sales. The second company offers a salary of $ 240 per week plus 4% of the sales. How much would you have to sell in a week in order for the straight commission offer to be at least as good?
Answers
The straight commission offer must be at least as good as the straight commission offer, which requires sales of $12,000 in a week.
What is Straight Commission?Straight Commission: Straight commission can also be referred to as commission-only because it is the only pay an employee receives. There is no base salary or hourly wage included in this pay structure. All compensation is based on an agreed-upon percentage of sales.
Get the complete straight commission offer as the first step.
The straight total commission can be expressed as follows:
A=R x T
A = straight total commission
R=commission rate
T=total sales
In our example,
A=0.06t=0.06 t is replaced by
R=6%=6/100=0.06
T=t in equation 1.
in the 2nd step, the second offer's total value
The total sum of the second offer can be expressed as follows:
A=F+(RT)
A=the amount of income the second company offers
F=weekly fixed wage
R = commission percentage
T = total sales
F in our instance equals $240 weekly.
in the 3rd step
R=4%=4/100=0.04
T=t is replacing A=240+(0.04t)=0.04 t+240 is in equation 2
now equate equations 1 and 2
0.06 t=0.04 t+240
(0.06 t-0.04 t)=240
0.02 t=240
t=240/0.02=12,000
The straight commission offer must be at least as good as the straight commission offer, which requires sales of $12,000 in a week.
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$10,500 is shared between Peter and John in the ratio 7:3. Calculate the amount of money each person received.
Answers
Answer:
John=3150 peter=7350
Step-by-step explanation:
Hope this helps
What is true when the plane is 100 meters away from takeoff? Check all that apply. The given information is the SSS case. The given information is the SAS case. The given information is the SSA case. Evelyn is approximately 104 meters from the plane. The angle of elevation of the plane is 12°.
Answers
Answer:
The answer is the given information is the SAS case, Evelyn is approximately 104 meters from the plane, and the angle of elevation of the plane is 12°.
Step-by-step explanation:
Edge
Two triangle are congruent when the shape and size of both the triangle are same. The given information is the SAS case.
To find the form of the case we need to know about the triangle congruence theorem.
What is triangle congruence theorem?Two triangle are congruent when the shape and size of both the triangle are same.
Triangle congruence theorem are-
Angle-Side-Angle theorem (AAS)- This theorem states that two triangle is congruent when two angle and one side of the triangle are respectively equal to the two angles and same side of the other triangle.Side-Side-Side theorem (SSS)- When the three sides of the one triangle is equal to the three sides of the other triangle respectively, then the triangle are congruent. Side-Angle-Side theorem (SAS)- Two sides and the included angle of are equal to the two sides and one angle of other triangle respectively.Given information-
Evelyn is 104 meters from the take off.
The angle of elevation of the plane is 12°.
The plane is 100 meters away from the takeoff point.
The distance is 100 meters and 104 meters. The other two sides , as are same and the angle of elevation is also same for this case (12 degrees).
Thus the two triangle formed which are congruent.
As above discussed the case of SAS exists for the triangle congruence theorem.
Hence the given information is the SAS case.
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a bus drives for 3 and a half hours at an average speed of 56mph how far does the bus drive?
Answers
Answer:
196 miles
Step-by-step explanation:
distance (D) is calculated as
D = S × T ( S is average speed and T is time in hours )
here T = 3 and a half hours = 3.5 hours and S = 56 , then
D = 56 × 3.5 = 196 miles
find the LCM of 6 and 8 and list the multiples
Answers
Answer:
24
Step-by-step explanation:
6x4
8x3
Please how do we solve this? Fast
Answers
Answer:
option B ................
is the correct answer
How can you identify similar polygons and triangles?
Answers
Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio.
Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
What is a polygon and a triangle ?
A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides). A minimum of three line segments is required to connect end to end, to make a closed figure.
Triangles, hexagons, pentagons, and quadrilaterals are all examples of polygons.
A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°.
Therefore;
Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio.
Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
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Item 17
Question 1
Graph y=15x+3.
Question 2
Identify the x-intercept
Answers
Answer:
X-intercept: (-0.2,0)
Step-by-step explanation:
y=15x+3
I don't know how to show a graph but what you do is start by plotting (0,3) and go up 15 and over 1 to form a line (because the slope is 15).
To find the x-intercept, replace y with 0 and solve for x.
0=15x+3
-3=15x
-3/15
-1/5 (or -0.2)
(-0.2,0)
HELP PLEASE OR I WILL FAIL
Answers
Answer:
okay so basically
6(-12+5)-3(-12) = -6
Step-by-step explanation:
the answer is -6
What is the value of the expression below when z
8 and w
3?
9z-8w
Answers
Answer:
48
Step-by-step explanation:
1) 9*8=72
2) 8*3=24
3)72-24=48
s your chance to practice what you've learned. You will type your ar
ou and your friend are on a
occer team.
he coach randomly chooses
of the 11 players to play 3
ifferent midfield positions
eft wing, right wing, and
enter midfield).
Answers
The probability that someone is chosen to play in the left-wing position is 9%.
How to calculate the probability of an event?The general formula to calculate the probability or the likelihood of an event happening is the specific or desired outcome/ total possible outcomes.
Based on the above, let's calculate the probability in this case:
Specific outcome: To be chosen to play in the left-wing position = 1 position available
Total of players: 11 players
Now, let's calculate the probability
1/ 11 = 0.09 which is equivalent to 9%
Note: This question is incomplete; here is the missing information:
What is the probability to be chosen to play in the left-wing position?
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Evaluate
14
P
- 4 - 2h when p=1 and h=4.
Answers
Answer:
Step-by-step explanation:
Putting values into the equation
14(1) - 4 - 2(4)
14 - 4 - 8
10 - 8 = 2