Answer: A. yes, because the volume of the prism is less than 400 cubic inches
Answer:
D
Step-by-step explanation:
Wrapping paper goes around the box, rather than filling the content of the box. So SA is what we are looking for
2(13x5 + 13x8 + 5x8) = 418 > 400
So 400 does not suffice, you would need 18 more
Which step? I’m sort of confused
The answer is C) Step 3
Li forgot to multiply the two negatives in order to get positive 3/10. The answer should not be negative.
The right steps are:
-4/5 / 8/-3
Flip the second part to multiply:
-4/5 * -3/8
Multiply:
12/40
Simplify:
3/10
I hope this helps!
Write a recursive formula for the sequence.
11, 7, 3, -1, ...
Answer:-4
Step-by-step explanation:
11,7,3,-1,-5,......they have a difference of -4
11-4=7
7-4=3
3-4=-1
-1-4=-5
Recursive formula for the given sequence is \(a_{n}=a_{n-1}-4\)
What is Recursive formula?A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).
Consider
The first term \(a_{1} =11\)
second term \(a_{2}=7\)
Common difference = 7-11 = -4
Third term \(a_{3}=3\)
Common difference = 3-7 =- 4
Fourth term \(a_{4}=-1\)
Common difference = -1-3= -4
Then the formula for the sequence is \(a_{n}=a_{n-1}-4\)
Hence, the Recursive formula for the give sequence is \(a_{n}=a_{n-1}-4\)
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I NEED AN ANSWER ASAP
Joseph has 16 metres of rope. He wants to cut pieces of rope that are 0.2 metres long.
How many pieces can he cut?
Ignore the answer I put
Answer:
80
Step-by-step explanation:
Given that :
Length of rope = 16 m
Length per Piece of rope to cut = 0.2 m
The number of pieces of rope that can be cut :
Length of rope / length per piece of rope
16 / 0.2
= 80
Hence, 80 pieces of 0.2 m rope will be cut
1000 divided by 4 equal to what
Answer:
250?
Step-by-step explanation:
1000÷4=250
I think this is the right answer.
Answer:
250
Step-by-step explanation:
100/4 =25
you just add another 0
Amber has been working very hard and finally got a salary increase of 100%. She was earning $200 per week. How much is she earning now? *
Answer:
$400
Step-by-step explanation:
Given that:
Earnings per week for Amber = $200
Total increase in the salary as per Amber's hard work = 100%
To find:
Earnings of Amber now?
Solution:
We are given the initial salary and its percentage increase.
We have to find the increased value of salary.
Increase in the salary = 100% of $200
\(\Rightarrow \dfrac{100}{100}\times \$200\\\Rightarrow \bold{\$200}\)
Amber's Current salary = Initial salary + Increase in the salary
Putting the values of the initial salary and increase in the salary:
Amber's Current salary = $200 + $200 = $400
state the measurement of <1
Answer:
57 degrees
Step-by-step explanation:
because it is the same as the other side
what are all the values of c that will make x^2 cx 121 a perfect square ?
Answer:
c = -22, 22
Step-by-step explanation:
\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)
\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)
Consider the plane T. and three collinear (but not coplanar) points P, Q, and W.
Can either P, Q, or Wbe a point on the plane T?
A Yes, because if points are collinear, they must all fall on the same plane and be coplanar.
B Yes, because even if points are collinear, one of the points may fall on a plane while the others do not.
C No, because if points are collinear, they must all fall on the same plane and be coplanar.
D No, because even if points are collinear, one of the points may fall on a plane while the others do not.
Answer:
B Yes, because even if points are collinear, one of the points may fall on a plane while the others do not.
Step-by-step explanation:
good luck
If you place a 39-foot ladder against the top of a building and the bottom of the
ladder is 33 feet from the bottom of the building, how tall is the building? Round to
the nearest tenth of a foot.
The ladder and the top of the building form a right triangle
The building is 20.8 feet tall
`How to determine the height of the building?The given parameters are:
Length of ladder, L = 39 feetHorizontal distance (b) = 33 feetThe height (h) of the building is calculated using the following Pythagoras theorem
L^2 = b^2 + h^2
So, we have:
39^2 = 33^2 + h^2
Evaluate the exponent
1521 = 1089 + h^2
Rewrite as:
h^2 = 1521 - 1089
h^2 = 432
Take the square root of both sides
h = 20.8
Hence, the building is 20.8 feet tall
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the surface area of a right-circular cone of radius and height is , and its volume is . (a) determine and for the cone with given surface area and maximal volume . , (b) what is the ratio for a cone with given volume and minimal surface area ? (c) does a cone with given volume and maximal surface area exist?
(a) To determine the radius and height of a cone with a given surface area and maximal volume, we need to find the critical points by differentiating the volume formula with respect to the variables, setting the derivatives equal to zero, and solving the resulting equations.
(b) To find the ratio for a cone with a given volume and minimal surface area, we follow a similar approach.
(c) A cone with a given volume and maximal surface area does not exist. This is because the surface area and volume of a cone are inversely proportional to each other.
Let's denote the radius of the cone as r and the height as h. The surface area of a cone is given by: A = πr(r + l), where l represents the slant height.
The volume of a cone is given by: V = (1/3)πr²h.
To maximize the volume while keeping the surface area constant, we can use the method of Lagrange multipliers.
The equation to maximize is V subject to the constraint A = constant.
By setting up the Lagrange equation, we have:
(1/3)πr²h - λ(πr(r + l)) = 0
πr²h - λπr(r + l) = 0
Differentiating both equations with respect to r, h, and λ, and setting the derivatives equal to zero, we can solve for the critical values of r, h, and λ.
(b) To find the ratio for a cone with a given volume and minimal surface area, we follow a similar approach. We set up the Lagrange equation to minimize the surface area while keeping the volume constant. By differentiating and solving, we can determine the critical values and calculate the ratio.
(c) A cone with a given volume and maximal surface area does not exist. This is because the surface area and volume of a cone are inversely proportional to each other. When one is maximized, the other is minimized. So, if we maximize the surface area, the volume will be minimized, and vice versa. Therefore, it is not possible to have both the maximum surface area and maximum volume simultaneously for a cone with given values.
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7.167 times 10 to the power of 6
Answer:
7.167 times 10 to the power of 6
Step-by-step explanation:
71670000
Find the measure of angle CXD
Answer:
the answer is 100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
as u see it kinda looks like obtuse lol but if u do the work u can see its actually 100.
A case of soda has 24 cans in it. There are 12 cases of soda. 1) What is the total number of cans of soda there are? 2) The soda is donated to 7 (seven) teams. How many cans of soda does each team get? {include remainder}
Answer:288 number of cans.288 divided by 7=41
Step-by-step explanation:
Find the surface area of the prism.
The surface area is square millimeters.
Answer:
57.1mm^2
Step-by-step explanation:
4*4=16
16/2=8mm^2 cross section
(4*3) + (4*3) + (5.7*3) = 41.1mm
8*2=16
41.1+16=57.1mm^2
The surface area of the prism is S = 57.1 mm²
What is the surface area of the prism?The surface area of the prism is calculated as
The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism
Surface Area of the prism = 2B + ph
The area of the triangular prism is A = ph + ( 1/2 ) bh
Given data ,
Let the area of the 2 triangles be T
Let the area of the 2 rectangles be R
Let the area of the third side be U
Now , the total surface area of the prism = T + R + U
where T = 2 x ( 1/2 ) ( 4 x 4 )
T = 16 mm²
R = 2 x ( 3 x 4 )
R = 24 mm²
And , U = 5.7 x 3
U = 17.1 mm²
Therefore , the total surface area of prism S = 16 mm² + 24 mm² + 17.1 mm²
S = 57.1 mm²
Hence , the surface area of prism is S = 57.1 mm²
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Enter an algebraic expression to model the given context. give your answer in simplest form. the price s of a pair of shoes plus 2% sales tax.
An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.
What is price?Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).
What is an algebraic expression?An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
Let s represent the price of a pair of shoes.
Therefore, an algebraic expression which models the given context would be written as follows:
s + 0.02s = 1.05s.
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Standard form: 4x + 3y = 9 into slope-intercept form
Answer: y = −(4/3)x + 3.
Step-by-step explanation: 4x+3y=9 is the standard form for a linear equation. To convert the standard form to slope-intercept form, solve the standard form for y
4x+3y=9
Subtract 4x from both sides.
3y=−4x+9
Divide both sides by 3.
Answer: y = −(4/3)x + 3.
Answer:
y = − 4/3x+3
Step-by-step explanation:
4 x + 3 y = 9
Subtract
4 x from both sides.
3 y = − 4 x + 9
Divide both sides by 3
y=-4/3x+9/3
Simplify and you get y=-4/3x+3
1) find the groups found in the maps
2) find the reduced Boolean functions derived from the maps and
how the maps relate to
terms in the optimised Boolean functions.
The groups found in the maps correspond to logical terms in the Boolean functions, and the reduced Boolean functions are derived by combining and simplifying these terms using the information provided by the maps. The maps serve as a visual aid in identifying the groups and their relationships, facilitating the simplification process and enabling the construction of optimized Boolean expressions.
1) The groups found in the maps are clusters of adjacent 1s or 0s in the truth table or Karnaugh map. These groups represent logical terms in the Boolean functions. In a Karnaugh map, the groups can be formed by combining adjacent cells horizontally or vertically, forming rectangles or squares. Each group corresponds to a term in the Boolean function.
2) The reduced Boolean functions derived from the maps are simplified expressions that represent the logical relationships between the input variables and the output. These reduced functions are obtained by combining and eliminating terms in the original Boolean functions. The maps help in identifying the groups and their corresponding terms, which can then be simplified using Boolean algebra rules such as absorption, simplification, and consensus.
The Karnaugh map is a graphical representation of a truth table that allows for visual analysis and simplification of Boolean functions. The map consists of cells representing all possible combinations of input variables, with the output values placed inside the cells. By examining the adjacent cells, groups of 1s or 0s can be identified. These groups represent logical terms in the Boolean functions.
To obtain the reduced Boolean functions, the identified groups are combined using Boolean algebra rules. Adjacent groups that differ by only one variable are merged to form larger groups. The resulting groups are then used to construct simplified Boolean expressions that represent the original functions. The simplification process involves eliminating redundant terms and applying Boolean algebraic rules such as absorption, simplification, and consensus.
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3: Find the value of X
4: Find the measure of angle JML
Step-by-step explanation:
3.
the sum of all internal angles in a quadrilateral is always 360°.
so, the internal angle at x is given by
360 = 40 + 80 + 110 + inner angle
inner angle = 360 - 40 - 80 - 110 = 130°
an inner and an outer angle combined are together always 180°.
so,
130 + x = 180
x = 50°
4.
first, again, the sum of all inner angles is 360°.
this is a parallelogram. that means the diagonally opposing angles are equal.
so, the angle opposite of the 38° angle is also 38°.
that leaves
360 - 38 - 38 = 284°
for the 2 (again equal) remaining angles :
284 = 2 × angle
each of these remaining angles is then
284/2 = 142°
the angle JML is one of them.
so,
angle JML = 142°
A washer and a dryer cost $950 combined. The washer costs $ 100 more than the dryer. What is the cost of the dryer?
Answer:
$850
Step-by-step explanation:
washer + dryer = $950
if washer cost=>$100
Therefore; the value of the dryer should be x
$100+x=$950
x=$850
The dryer cost is =>$850
Answer:
The dryer is $425.
Step-by-step explanation:
Washer = 100 + Dryer
Set up an equation:
Variable x = dryer
x + x + 100 = 950
x + x = 850
2x = 850
x = 425
Dryer = 425
Bonus answer:
Washer = 100 + x
Washer = 100 + 425
Washer = 525
Check your work:
Washer + Dryer = 950
525 + 425 = 950
950 = 950
Correct!
i need this now asap
Answer:
141.3
Step-by-step explanation:
π x 6 (3 + 4.5
Please help, its Geometry
Hope it helps just read it and type it in XD
A. 3
B. 4
C. 130
D. 35
Answer:
a) 3
Step-by-step explanation:
3+10= 13
hope this helped :)
Answer:
A. 3
Step-by-step explanation:
? + 10 = 13
? = 13 - 10
? = 3
Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. Find your savings account balance on January 1 of the next year.
and
Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April 1 and made no other deposits or withdrawals. How much interest did you earn for these nine months?
Answer:
The interest earned in 9 months is $25.45284
Step-by-step explanation:
The interest rate given by the bank = 4%
The rate at which the interest is applied = Quarterly
The amount of money deposited = $840
The formula for compound interest is given as follows;
\(Compound \ interest = P \times \left [ \left(1 + \dfrac{r}{n} \right )^{t \times n} - 1\right ]\)
Where;
P = The principal = $840
r = The rate = 4% = 0.04
n = The number of times the interest is compounded per period = quarterly = 4
t = The time duration in period = 9 months = 3/4 × 1 year
Substituting the values gives the Compound interest C.I. as follows;
\(C.I. = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{\dfrac{3}{4} \times 3} - 1\right ] = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{ 3} - 1\right ] = \$ 25.45284\)
The interest earned in 9 months = $25.45284.
What is the probability of a fruit chosen randomly from a basket containing 3 apples, 5 bananas, 4 oranges, and 6 pears being an apple or a pear
The probability of a fruit chosen randomly being an apple or a pear is 1/2.
What is probability?Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.A probability formula can be used to calculate the likelihood of an occurrence by simply dividing the favorable number of possibilities by the entire number of possible outcomes.To find the probability in the given situation:
Given - Fruit chosen randomly from a basket containing 3 apples, 5 bananas, 4 oranges, and 6 pears.
To find the probability of a fruit chosen randomly being an apple or a pear.
Total events = 3 + 5 + 4 + 6 = 18Favourable event = apple + pear = 3 + 6 = 9Probability = favourable event / Total number of eventsP = 9/18 = 1/2Therefore, the probability of a fruit chosen randomly being an apple or a pear is 1/2.
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The value of the expression StartFraction 2 x squared Over x EndFraction plus x (100 minus 15 x) when x = 5 is
Answer:
The value of the expression Start Fraction 2 x squared Over x End Fraction plus x (100 minus 15 x) when x = 5 is 119.
Step-by-step explanation:
Simplify the ratio 12 to 30.
Pls solve this problem
Answer: -22/5 or -4.4
Step-by-step explanation:
Simplify so 2(22/7*10)(10+h)=352
Distribute so (2*22/7*10)(10) + (2*22/7*10)(h) = 352
Which would equal 4400/7 +440/7h=352
Subtract 4400/7 to both sides
That equals 440/7h=-1396/7
Multiply both sides by 7/440
h=-22/5
can you please answer this quick!
Answer:
a. 3*3-5
=6-5
=1
b. 3*(-2)-5
=-6-5
=-11
c. f(x)=1
or,1=3x-5
or,1+6=x
x=7
PLEASEEEEEE HELPPPPPPPPP
\(5x + 3 = - 9 \\ = > 5x = - 9 - 3 \\ = > 5x = - 12 \\ = > x = \frac{ - 12}{5} \\ = > x = - 2 \frac{2}{5} \)
Answer:Option A .
\( - 2 \frac{2}{5} \)