Answer:240√3cm³
Step-by-step explanation: The base is a regular hexagon. We can divide the base into 6 equilateral triangles.
Each equilateral triangle has side a=4cm. Hence the area of the base is B⇒ 6×√3÷4×4² ⇒ 24√3
This implies that V = B×h = 24√3 × 10 = 240√3cm³
Suraj took a slice of pizza from the freezer and put it in the oven. The pizza's temperature (in degrees Celsius) as a function of time (in minutes) is graphed.
The time it will take the pizza to reach 0 degrees Celsius would be 0.75 minute.
What is a graph?A graph is defined as the diagram that is used to represent the variation of a variable in comparison with that of one or more other variables.
From the given graph above, the X axis is the time in minutes which is plotted against the temperature at y axis is degree Celsius.
From the graph, the time it will take the pizza to reach 0 degrees Celsius would be 0.75 minute.
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Which of the following is NOT divisible by 2?
A. 300
B. 221
C. 24
D. 8
Answer:
Step-by-step explanation:
b.221
as in 221 has no even digit in ones place.
Answer: The answer is option B (221).
Step-by-step explanation: As we know that ,
for a number to be divisible by 2 ,
the last digit of the number must ends with
the digits 2 ,4 , 6 , 8 , 0 .
And from the following option ,
In option A , 300 ends with 0 hence divisible by 2 .
In option C , 24 ends with 4 hence divisible by 2 .
In option D , 8 that is clearly divisible by 2.
Only in option B , 221 ends with 1 , hence not divisible by 2.
A florist wants to determine if a new additive would
Using this dotplot and the difference in proportions
help extend the life of cut flowers longer than the
from the samples, is there convincing evidence that
original additive. The florist randomly selects 20
the new additive was more effective?
carnations and randomly assigns 10 to the new
additive and 10 to the original additive. After three
O Yes, because a difference in proportions of 0.2 or
weeks, 5 carnations placed in the new additive still
more occurred 41 out of 200 times, meaning the
looked healthy, and 3 carnations placed in the original
difference is statistically significant and the new
additive still looked healthy. The difference in
additive is more effective.
proportions (new - original) for the carnations that still
Yes, because a difference in proportions of 0.2
or
looked healthy after three weeks was 0.2. Assuming
less occurred 159 out of 200 times, meaning the
there is no difference in the additives, 200 simulated
difference is statistically significant and the new
differences in sample proportions are displayed in the
additive is more effective
dotplot
© No, because a difference in proportions of 0.2 or
Simulation for Difference in
more occurred 41 out of 200 times, meaning the
Proportions of Carnation Health
difference is not statistically significant and the new
additive is not more effective
No. because a difference in proportions of 0.2 OI
less occurred 159 out of 200 times, meaning the
Mark this a
Save and Exit
Next
Submit
It was more effective because a difference in proportions of 0.2 looked healthy after three weeks was 0.2.
What is a dot plot?A dot plot is a graph that displays individual data points as dots (markers) on a number line, showing the distribution of a dataset. It is similar to a histogram but is used when the data set has many unique values or when the data is not continuous.
In this case, we are told that a florist wants to determine if a new additive would help extend the life of cut flowers longer than the from the sample.
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hi guys, i have a percentage question that I am not sure.
Here is the question: A phone costing £500 is in a sale. The sale price is £400 what percentage off is this?
Answer:
20 percent
Step-by-step explanation:
[tex]\frac{400}{500}[/tex][tex]=0.8[/tex]
[tex]1-0.8=0.2[/tex]
This means that 20 percent off of 500 is 400.
Answer:
The answer should be 20%
Step-by-step explanation:
Hope this helps
Which is more, 2.5 meters or 260 centimeters?
Answer:
260 centimeters is more
Step-by-step explanation:
There is 100 cm in 1 meter, which means that there would be 250 cm in 2.5 meters. 250 < 260, so 260 cm is greater than 2.5 meters.
Please help, algebra 2!!!!!
The sequence of height of the ball after each bounce are in geometric sequence with ratio of 0.75.
What is Arithmetic Progression ?
Arithmetic progression can be defined as the sequence of numbers which has same difference between any consecutive numbers.
Given,
A ball is dropped from the height 160cm
And the ball loses 25% of its previous height after each bounce.
so,
for every bounce the height will be decreased by 25%
after first bounce , 160 - 160/4 = 120
after second bounce , 120 - 120/4 = 90
after third bounce , 90 - 90/4 = 67.5
The sequence could be 160,120,90,67.5 and soon
if a1 / a2 = a2/a3
it is said to be in gp
so a1/a2 = 120/160 = 0.75
a2/a3 = 90 / 120 = 0.75
Hence , we can say that the sequence is in gp with common ratio of 0.75
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Write the expanded form in the condensed form
3f+3f+3f+3f=
43f
The expanded form 3f + 3f + 3f + 3f is written in condensed form to give
12f
How to write in condensed formTo write in condensed form the concept of distributive laws of multiplication is applied
This is achieved as follows
3f + 3f + 3f + 3f
applying distributive law of multiplication we have
= (3f + 3f) + (3f + 3f)
= 2 * ( 3f ) + 2 * ( 3f )
= 4 * ( 3f )
= 12f
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solve the given equation
(5 x/7) (25 x/2) =5 5
sry it is hard to show super script
The solution to the exponential equation for this problem is given as follows:
x = 3.5.
How to solve the exponential equation?The exponential equation for this problem is defined as follows:
[tex]5^{\frac{x}{7}} \times 25^{\frac{x}{2}} = 5^4[/tex]
25 is the second power of two, that is:
5².
Applying the power of power rule, we have that:
[tex]25^{\frac{x}{2}} = (5^2)^{\frac{x}{2}} = 5^{\frac{2x}{2}} = 5^x[/tex]
Hence the expression is simplified as follows:
[tex]5^{\frac{x}{7}} \times 5^x = 5^4[/tex]
When two terms are multiplied, having the same base and different exponents, the base is kept while the exponents are added, hence:
[tex]\frac{x}{7} + x = \frac{x}{7} + \frac{7x}{7} = \frac{8x}{7}[/tex]
Hence the expression is given as follows:
[tex]5^{\frac{8x}{7}} = 5^4[/tex]
As the 5^x function is injective, the value of x is obtained as follows:
8x/7 = 4
8x = 28
x = 28/8
x = 3.5.
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Solve for e in the equation 6e+3f=4j
Answer:
Step-by-step explanation:
Which equation is NOT equivalent to p – 7 = 22? Select all that apply.
A. p – p – 7 = 22 – p
B. p – 7 – p = 22 – p
C. p – 7 + 22 = 22 – 7
D. p – 7 + 7 = 22 – 22
E. p – 7 + 7 = 22 + 7
The equation that is not equivalent to p – 7 = 22 will be:
C. p – 7 + 22 = 22 – 7
D. p – 7 + 7 = 22 – 22
E. p – 7 + 7 = 22 + 7
How to illustrate the equation?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario
It should be noted that p – 7 + 22 = 22 – 7, p – 7 + 7 = 22 – 22 and p – 7 + 7 = 22 + 7 don't give the original equation. Therefore, the answers are C D and E.
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If 23 + 37 = 60, does 23+37 + 9 = 60 +9? help me
Answer:
Yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
23+37=60 and add 9 to the left hand side and right hand side of equation doesn't change the consistency
Which statements are true about the reflectional symmetry of a regular heptagon? Select two options.
A heptagon has all equal side lengths.
It has only 1 line of reflectional symmetry.
A line of symmetry will connect 2 vertices.
A line of symmetry will connect a vertex and a midpoint of an opposite side.
It has 7-fold symmetry.
A line of symmetry will connect the midpoints of 2 opposite sides.
A line of symmetry will connect a vertex and a midpoint of an opposite side, it has 7-fold symmetry.
What is Heptagon?A two-dimensional shape having seven sides and seven angles are called a heptagon. It is a member of the two-dimensional geometry polygon class. Polygons are closed geometric shapes with only straight edges. In Greek, "hepta" denotes seven, while "gonia" denotes an angle.
The true statements about the reflectional symmetry of a regular heptagon are:
A line of symmetry will connect a vertex and a mid-point of an opposite side,
it has 7-fold symmetry.The line of symmetry of a shape divides the shape into equal segmentsA regular heptagon has 7 sides. So, it has 7-fold symmetry
Also, the line of symmetry passes through the midpoint and meets the opposite vertex.
Therefore, the true statements are: (b) and (c)
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You roll a 6-sided die. What is P(3)
The probability of rolling a 3 on a fair 6-sided die that P(3) is 0.17.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Since each side of the die is equally likely to land face up,
So the number of favorable outcomes n(E) = 1
And the total number of outcomes n(S) = 6
Thus, P(3) is the probability of rolling a 3 on a fair 6-sided die :
P(3) = n(E)/n(S)
P(3) = 1/6
P(3) = 0.17
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The perimeter of a rectangle is 50cm. The length is 2 more than three times the width. What is the length of the rectangle?
The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
What is Perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.
The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution. Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.
Given that,
Perimeter = 2(l + b) = 50cm
And also given that,
l = 2 + 3b
Substituting the value of l in perimeter we get
2((2 + 3b) + b) = 50cm
2(2 + 4b) = 50cm
4 + 8b) = 50cm
8b = 50 - 4
b = 46/8
b = 5.75
Substituting the value of b in l, we get
l = 2 + 3(5.75)
l = 19.25
Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
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For the figure below, give the following.
(a) one pair of vertical angles
(b) one pair of angles that form a linear pair
(c) one pair of angles that are supplementary
One pair of vertical angles are ∠2 and ∠4.
One pair angles that form a linear pair angles are ∠2 and ∠3.
One pair of angles that are supplementary are ∠1 and ∠4.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
Vertical angles:
∠2 and ∠4
∠1 and ∠3
∠6 and ∠8
∠5 and ∠7
Linear pair:
This means two angles that make 180 degrees.
∠2 and ∠3
∠1 and ∠4
∠6 and ∠7
∠5 and ∠8
Supplementary angles:
This means two angles give us 180 degrees.
∠2 and ∠3
∠1 and ∠4
∠6 and ∠7
∠5 and ∠8
Thus,
Vertical angles are ∠2 and ∠4.
Linear pair angles are ∠2 and ∠3.
The pair of supplementary angles are ∠1 and ∠4.
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is it possible for an object to have no (zero) momentum? use the mathematical definition of momentum (p
Yes, it is possible for an object to have zero momentum. Momentum is defined as function the product of mass and velocity, so an object with zero mass or zero velocity will have zero momentum.
Momentum is a physical property of an object that is equal to the product of its mass and velocity. It is measured in kilogram meters per second (kg m/s) and is a vector quantity, meaning it has both magnitude and direction. In order for an object to have zero momentum, it must have either zero mass or zero velocity. An object with zero mass will always have zero momentum regardless of its velocity, while an object with zero velocity will only have zero momentum if its mass is also zero. An object with nonzero mass but zero velocity still has nonzero momentum if its mass is not zero. Therefore, it is possible for an object to have zero momentum.
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the complete question is
is it possible for an object to have no (zero) momentum? use the mathematical definition of momentum (p) to explain
It is possible for an object to have No (Zero) momentum because Momentum is the product of mass and velocity, so the object with zero mass or zero velocity will have No momentum.
What is Momentum ?
The Momentum of an object is a vector quantity that is defined as the product of the mass and velocity , the unit of measurement if Kg m/s .
So , for the object to have No (zero) momentum, the object must have either zero mass or zero velocity. that means the object with zero mass will always have No (zero) momentum regardless of velocity of the object ,
whereas the object with 0 velocity will only have No (zero) momentum if the mass is also 0 .
Therefore , By the Mathematical Definition of momentum , Yes , it is possible for the object to have No(zero) momentum .
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What is the next number of the sequence 0.99, 9.9, 99, 990, 9900 ____
Answer:
99000
Step-by-step explanation:
it can be seen that in the sequence every next value differs by a decimal place through moving the decimal or adding zeros towards the right. In other words, every term is multiplied by 10 to get the next comsecutive term. Therefore, if we put another zero in the end of 9900 or multiplu it by 10 we get 99000 which is our answer.
0.99, 9.9, 99, 990, 9900, 99000.
hope that helps...
Ingrid is designing a quilt with patches like the
one shown. The patch is a parallelogram with al
four angles having the same measure and the
top and right sides having the same measure.
Ingrid says that the patch is a square. Is she
correct? Explain.
Yes, the patch is a square since all the sides of the parallelogram have the same measure.
What is a parallelogram?A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
The patch is a parallelogram.
All angles of the parallelogram are equal.
The patch is a parallelogram,
This means,
The top side and the bottom side are equal.
The right and left sides are equal.
Now,
Top side = Right side
This means,
Top side = Right side = Bottom side = Left side
All sides of the patch are equal.
Thus,
The patch is a square.
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What is the equation of the line that passes through
slope of o?
the point (-6, -3) and has a slope of 0?
keeping in mind that a line with a slope of "0" is just a horizontal line, Check the picture below.
Answer:y = -3
Step-by-step explanation:
Any help is appreciated
Answer: C
Step-by-step explanation:
Distribute the 4 into the 2 and the 1 and you have 8x+4
Tom took 1/2hours to clean the den. Then he took 2 1/8 hours to clean the bedroom. How much total time did Tom take to clean the two rooms?
Answer:
Step-by-step explanation:
First convert the mixed number into a fraction:2 1/8 = 17/8
And convert 1/2 to 4/8 for greatest common denominatorThen do fraction addition:4/8 + 17/8 = 21/8
Convert improper fraction to mixed number:21/8 = 2 5/8
Therefore, Tom took 2 and 5/8 hours to clean the two rooms
Answer: 2 5/8 hours ( 2 hours and 38 mins [rounded])
Step-by-step explanation: For the best experience, look at the attachment:
So, first I took the numbers and set up an addition problem. But we have a problem. They both don't have the same denominator. So first, we need to find a common denominator before we add. So, luckily we know that 2 is a factor of 8. So 1/8 would stay the same and we'd multiply the 2 by 4 to get the denominator, and 1 by 4 to get the denominator. Then, you'd add 2 1/8 to 4/8 to get 2 5/8. Also, I converted 5/8 of an hour to get 37.5 mins, so I rounded up to 2 hrs and 38 mins.
area addition and subtraction help
The value of the height(h) is 10. 0702 cm
How to determine the value of the heightFrom the information given, we have to use the SOHCAHTOA rule
Using the trigonometric identities, we have;
SOH; sin θ = opposite/hypotenuseCAH ; cos θ = adjacent/ hypotenuseTOA; tan θ = opposite/adjacentFrom the diagram shown, we have;
Opposite side = h Hypotenuse side = 14cmUsing the trigonometric identity, sine, we have;
sine 46 = h/ 14
Now, cross multiply, we get;
h = sin 46 × 14
find the value and substitute
h = 0. 7193 × 14
h = 10. 0702 cm
Hence, the value is 10. 0702 cm
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O
Identify the value of x that makes each pair of ratios equivalent.
1. 2:x and 12:18 (1 point)
0 3
4
6
Answer:
x = 3
Step-by-step explanation:
2 : x and 12 : 18 ( divide both parts of the ratio by 2 )
2 : x and 2 : 3
for the 2 ratios to be equivalent then x = 3
The assignment is below.
The solution of the rule is;
when y = 2, x = -4/3
when x = 8/3, y = 10/3
when x = 22/3, y = 24/3
What is a Fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Using the rule [tex]y = x + \frac{2}{3}[/tex]
when y = 2
2 = x + 2/3
Multiplying both sides by 3
6 = 3x + 2
3x = 2 - 6
3x = -4
x = -4/3
when x = 8/3
y = 8/3 + 2/3
y = 10/3
when x = 22/3
y = 22/3 + 2/3
y = 24/3
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Rewrite 1/12x^3y+7/12xy^2 using a common factor
The given expression is rewritten as 1/12 xy(x²+7y). Therefore, the correct answer is option C.
What are factors of polynomial?The factors are the polynomials which are multiplied to produce the original polynomial.
The given polynomial is 1/12 x³y+7/12 xy².
Here, 1/12, x and y are the common factors from both the terms of the expression.
That is 1/12 xy(x²+7y)
Therefore, the correct option is C.
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Mike’s grandma told him to drink 2 cups of milk today. Mike drank 2/5 of a cup of milk at breakfast and 5/6 of a cup of a milk at lunch. How much milk should Mike drink at dinner to reach the goal?
Answer:
23/30
Step-by-step explanation:
2-2/5-5/6=8/5-5/6=48/30-25/30=23/30
(a) In Moscow the temperature is −15 °C. The temperature rises by 7°C.
Write the new temperature.
(b) In Juneau the temperature is 4 °C.
An hour later the temperature is −2 °C.
Write the number of degrees the temperature falls.
°C
Plsssss answer a and b plssssss
The new temperature in Moscow is +2 °C. (b) The temperature in Juneau falls by 6 °C.
What is tempreture?Temperature in mathematics is usually referred to as a measure of the average kinetic energy of the particles in a system. The higher the temperature of the system, the more energetic the particles are and the more likely they are to move around. Temperature is usually measured in Kelvin, Celsius, Fahrenheit, or Rankine.
The new temperature in Moscow is now +2 °C.
The temperature falls by 6 degrees Celsius from 4°C to -2°C. This drop in temperature is an example of how quickly the weather can change in Juneau. The city is located in Southeast Alaska, along the coast of the Gulf of Alaska. This means that it is often subject to sudden shifts in temperature and weather patterns due to its close proximity to the ocean. The high humidity and large temperature range make Juneau a great place for outdoor activities like kayaking, fishing and hiking. However, it's important to always be prepared for changes in the weather.
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Please show work on a paper and upload it need it ASAPPP
Answer:
126
Step-by-step explanation:
it is the sum from x = 1 to x = 3
so we plug 1 to 3 in for x and add all those values
x = 1:
(3*1)^2 = 9
x=2:
(3*2)^2 = 36
x=3:
(3*3)^2 = 81
sum = 81 + 36 + 9 = 126
Newton pays for 5 pounds of pears thy cost $3.75 per pound. Descartes pays $15 for 5 pounds of apples. About how much more do the 5 pounds of pears cost than the 5 pounds of apples?
Answer:$3.75
Step-by-step explanation:
you first multiply 3.75 and 5 and you get 18.75 then you subtract 18.75 by 15 since he paid 15 for the apples so after subtracting you get $3.75
Sam filled her 5 gallon jug with water how many times could she fill her 2 quart canteen with water from the jug?
Answer:
There are 128 fluid ounces in a gallon, so the 5 gallon jug contains 128 * 5 = 640 fluid ounces of water. There are 32 fluid ounces in a quart, so the 2 quart canteen contains 2 * 32 = 64 fluid ounces of water. That means Sam can fill her canteen with water from the jug 640 / 64 = 10 times.Step-by-step explanation:
.Step-by-step explanation:
