Answer:
the surface area of the box is 80 square centimeters and the volume of the box is 48 cubic centimeters.
Step-by-step explanation:
To calculate the surface area of the box, we need to find the area of all six faces and add them together. Using the given dimensions, we get:
1) Area of the top and bottom faces (both rectangles): (4 cm) x (2 cm) = 8 cm² each
2) Area of the four side faces (all squares): (6 cm) x (2 cm) = 12 cm² each
3) Total surface area: 2(8 cm²) + 4(12 cm²) = 32 cm² + 48 cm² = 80 cm²
To calculate the volume of the box, we multiply the length, width, and height of the box together. Using the given dimensions, we get:
Volume of the box: (4 cm) x (6 cm) x (2 cm) = 48 cm³
Therefore, the surface area of the box is 80 square centimeters and the volume of the box is 48 cubic centimeters.
A dinner party is being organized with the option of 7 dinner choices to serve at the venue. Since catering is expensive, the host asks everyone attending to rank each dish. The top ranked dish will be served at the venue. What is the probability that your favorite dish is the chosen dish served at the venue?
Answer: 1/7
Step-by-step explanation:
There are seven dishes in total. Only one dish will be served at the venue and you can only have one top-ranked dish. Thus, there is a one in seven probability of your favorite dish is the one chosen to be served.
find the value of k if it is known that the line y=kx goes through the point B(-30,3)
Answer:
k = -0.1
Step-by-step explanation:
An ordered pair is in the form (x,y) We can use the x and y from the point (-30,3) to find k
y = kx We will replace x with -30 and y with 3
3 = (-30)k divide both sides by -30
-0.1 = k or \(\frac{-1}{10}\) in the fraction form
Use the vertex formula to find the vertex of the quadratic function f(x) = -x2 + 4x - 8.
In the expression, what is the variable, the coefficient, and the constant?
25w+55
Drag the answer into the box to match each part of the expression.
Step-by-step explanation:
In expression:25w+55
variable=w
cofficient = coefficient of variable (w)=25
constant=55
In the given expression variable is "w", the coefficient is "25" and the constant is"55".
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
In other meaning, expression is very useful to determine the end or root value of constraint.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Given the expression
25w+55
Now, in general, the variable is given by an English symbol so "w" will be the variable.
The constant which in multiply of variable is called coefficient so "25" will be coefficient.
Now,
The only remaining term "55" is a constant.
Hence "In the given expression variable is "w", the coefficient is "25" and the constant is"55".
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what are the steps to solve this
Answer:
The equation of this line is y = -4.
Answer:
y=-4
Step-by-step explanation:
zero slope m=0
y-y1=m(x-x1)
y-(-4)=0(x-(-9))
y+4=0
y=-4
Which of the following sets of ordered pairs represents a function?
{(−3, −3), (−2, −2), (−1, −1), (0, 0), (1, 1)}
{(−3, −3), (−3, −2), (−3, −1), (−3, 0), (−4, −1)}
{(−3, −3), (−3, −1), (−1, −2), (−1, −1), (−1, 0)}
{(−3 −3), (−3, 0), (−1, −3), (0, −3), (−1, −1)}
The 1st one/Top one.
X value is different each time. Function can have the same y-value (3, 1), (2, 1) but can't have the same x-value (3, 1) (3, 3)
the distance between the point 0,0 and 5, 12
Answer:
13
Step-by-step explanation:
the formula for distance is √(X2-X1)^2 + (y2-y1)^2
=√(5-0)^2 + (12-0)^2
=√5^2 + 12^2
=√25+144
=√169
=13
help me please:)) ........
Answer:
True
Step-by-step explanation:
<---------->
Warm-Up
Point C has the coordinates (-1, 4) and point D has the
coordinates (2, 0). What is the distance between points
Cand D?
d=-x)' + (a-n'
units
Intro
Answer:
I think the answer is (-3,4)
63,416,831 to the nearest ten thousand help p
HI! HELP ASAP. WILL GIVE BRAINLIEST. THANK YOU
Answer:
C. M=64
Step-by-step explanation:
Multiply both sides by 44.
m=16\times 4
m=16×4
Simplify 16 times 416×4 to 64.
m=64
write 464000 in correct scientific notation
Answer:
The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.
To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.
So, we can write 464000 as:
4.64 x 10^5
Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.
Step-by-step explanation:
Stephanie has a spinner with sections labelled 1, 2 and 3.
She spun it 100 times and recorded how many times it landed on each section in
the table below.
Work out the relative frequency of landing on an odd number, giving your answer
as
a) a fraction in its simplest form.
b) a decimal.
Section
1
Frequency 17
2
20
3
63
Answer:
\(\frac{4}{5}\)
0.8
Step-by-step explanation:
Happy to help:)
Determine the values of x in the equation x2 = 64.
Help!!!
The amount of force, F, needed to lift an object using a lever varies inversely as the length, l, of the lever. When a 24-inch lever is used, a force of 240 pounds is needed. How much force is needed if a 36-inch long lever is used?
I already know A. 120 pounds is wrong
A. 120 pounds XXX
B. 160 pounds
C. 252 pounds
D. 360 pounds
Answer:
F = 160 pounds
B. 160 pounds
Step-by-step explanation:
F = k / l
Where,
F = amount of force needed
l = length of the lever
k = constant of proportionality
F = 240 when l = 24 inch
F = k / l
240 = k / 24
Cross product
240*24 = k
k = 5,760
Find F when l = 36 inch
Recall, k = 5,760
F = k / l
= 5,760 / 36
= 160
F = 160 pounds
The correct answer is B. 160 pounds
The variation is an inverse variation.; so, 160 pounds of force is needed for a 36-inch long lever
Given that F varies inversely as L, the variation is represented as:
\(F\ \alpha\ \frac 1L\)
Express as an equation
\(F\ =\ \frac kL\) -- where k represents the constant of variation
Make k the subject
\(k =FL\)
When F = 240, L = 24.
So, we have:
\(k =240 \times 24\)
\(k =5760\)
Substitute 5760 for k in \(k =FL\)
\(5760 = FL\)
When L = 36, we have:
\(5760 = 36F\)
Divide both sides by 36
\(160 = F\)
Rewrite as:
\(F = 160\)
Hence, 160 pounds of force is needed for a 36-inch long lever
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PLZ HELP 30 POINTS PLZ INCLUDE EXPLANATION
Answer:
m = 0
Step-by-step explanation:
1/2(-1.4m+0.4)=m+0.2
We move all terms to the left:
1/2(-1.4m+0.4)-(m+0.2)=0
Domain of the equation: 2(-1.4m+0.4)!=0
m∈R
We get rid of parentheses
1/2(-1.4m+0.4)-m-0.2=0
We multiply all the terms by the denominator
-m*2(-1.4m+0.4)-(0.2)*2(-1.4m+0.4)+1=0
Wy multiply elements
-2m^2(--(0.2)*2(-1.4m+0.4)+1=0
We use the square of the difference formula
-2m^2(+(0.2)*2(-1.4m+0.4)+1=0
I will give extra points please help
Answer:
9
Step-by-step explanation:
45/5 = 9
On a number line, 7.05 would be located Choose all answers that make a true statement.
7.05
A. between 8 and 9
B. to the right of 7.02
C. to the left of 7.08
D. between 8.0 and 8.1
On a number line, 7.05 would be located
B. to the right of 7.02C. to the left of 7.08How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Number = 7.05
The analysis of its position s as follows:
A. between 8 and 9: False. 7.05 is to the left of 8 and is not between 8 and 9.B. to the right of 7.02: True. 7.05 is greater than 7.02, so it is to the right of 7.02 on the number line.C. to the left of 7.08: True. 7.05 is less than 7.08, so it is to the left of 7.08 on the number line.D. between 8.0 and 8.1: False. 7.05 is not between 8.0 and 8.1.So, the true statements are B and C.
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the candle was 1 inches long when new.Each half hour 3/4 inch of the candle burned away.After 4 hours,how long was the candle
The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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henry earns 42 $ for babysitting for 7 hours . If henry charges at the same rate, how many hours will it take him to earn 66$?
Answer:
11 hours
Step-by-step explanation:
Now write the numbers 1 through 10 using exactly four 4s.
Value
Expression using four 4s
1
I
2
3
4
5
6
7
8
9
10
Step-by-step explanation:
By using exactly four 4s it is possible to write a few numbers: at least from 0 - 30.
=> For example, using exactly four 4s, we can write 1 as follows
1 = 44 / 44
The right hand side of the above equation has exactly four 4s and solving it will give 1.
=>Using exactly four 4s, we can write 2 as follows;
2 = (4/4) + (4/4)
Also, there are exactly four 4s in the right hand side of the above equation and solving it gives 2
=> Using exactly four 4s, we can also write 6 as follows;
6 = 4 x .4 + 4.4
The above equation also contains exactly four 4s which will give 6 when solved. i.e
(4 x .4) + 4.4 = (4 x 0.4) + 4.4 = 6
The expressions for numbers 1 through 10 using exactly four 4s have been tabulated and shown in the image attached to this response.
wut answer to 2q×2q×2q×2q×2q
Answer:
32q5
Step-by-step explanation:
2x2x2x2x2= 32 qxqxqxqxq=q5
can someone help me with this?
What is 3 3/4 ft to yards as a mixed number?
The value of 3¾ft in yards would be = 1 6/25 yard
What is a mixed number?A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.
To convert to yards;
1 ft = 0.33 yard
3¾ = X yards
make x yards the subject of formula;
X yards = 3¾ × 0.33
X yards = 3.75×0.33
X yards = 1.24 yards
X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.
Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25
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While visiting a memorial, a person approximated the angle of elevation to the top of the memorial to be 35º. After walking 255ft closer, he guessed that the angle of elevation had increased by 17º. Approximate the height of the memorial, to the top of the memorial.
Draw a diagram to illustrate the problem as shown in the figure below.
Let h the height of the hill. =
At position A, the angle of elevation is 40°, and the horizontal distance to the foot of the hill is x.
By definition,
tan(40°) = h/x h = x tan40 = 0.8391x
(1)
At position B, Joe is (x - 450) ft from the foot of the hill. His angle of elevation is
40 + 18 = 58°.
By definition, tan(58°) = h/(x - 450)
h = (x - 450) tan(58°) = 1.6003(x-450)
h = 1.6003x - 720.135 (2)
Equate (1) and (2).
1.6003x - 720.135 = 0.8391x 0.7612x = 720.135
x = 946.0523
From (1), obtain
h = 0.8391*946.0523 = 793.8 ft
Answer: The height of the hill is approximately 794 ft (nearest integer)
The height of the memorial from base to top is 394.06 feet.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
Given the figure making two triangles,
Let's say the height of the memorial is h and x is the horizontal
distance of a small triangle.
Tan 35° = h/(255 + x) ⇒ h = 0.70x + 178.55
Now in a small triangle
Tan 52° = h/x ⇒ h = 1.28x
By using both equations,
h = 0.70(h/1.28) + 178.55
h = 0.54h + 178.55
h = 394.06 feet.
Hence " The height of the memorial from base to top is 394.06 feet".
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a new social media sit is increasing its user base by approximately 4% per month. If the site currently has 35.930 users, what will the approximate user base be 10 months from now?
Answer:
The approximate user base of the social media site 10 months from now would be approximately 52,374.
Step-by-step explanation:
To calculate the approximate user base of the social media site 10 months from now, considering a 4% increase per month, we can use the following steps:
1. Calculate the monthly growth factor: 1 + (4% / 100) = 1 + 0.04 = 1.04
2. Apply the growth factor to the current user base for each month:
Month 1: 35,930 * 1.04 = 37,387.2 (approx.)
Month 2: 37,387.2 * 1.04 = 38,868.49 (approx.)
...
Month 10: Previous Month * 1.04
By repeating this calculation for each month, we can determine the approximate user base 10 months from now.
Month 1: 37,387.2
Month 2: 38,868.49
Month 3: 40,391.33
Month 4: 41,957.61
Month 5: 43,569.34
Month 6: 45,228.24
Month 7: 46,936.32
Month 8: 48,695.44
Month 9: 50,507.45
Month 10: 52,374.40 (approx.)
Therefore, the approximate user base of the social media site 10 months from now would be approximately 52,374.
help me asp HELPPPPPPPPP ME
Answer:
C is the answer
Step-by-step explanation:
Because he have most tresures.
Answer: deep diving dan
Step-by-step explanation: he dived 26 times and found 104 treasure boxes
7. N.CN.7 Determine the zeroes for the equation below. Select all that apply.
x² - 6x +13=0
A. 1
B. 5
C. 13
D. -3 + 2i
E. 3+2i
F. 3+4i
G. 6 + 4i
H. 3-21
I .6-41
Answer:
D. -3 + 2i and E. 3+2i are the zeroes for the equation.
Step-by-step explanation:
‼️PLEASE HELP MY FINAL IS TODAY‼️‼️‼️
9. Determine mzB. Round to the nearest degree.
35
C
B
a.
34°
43°
C. 47°
d. 56°
b.
24
Answer:
The answer is 56°. Angle B is an exterior angle of triangle ABC, which means it is equal to the sum of the two remote interior angles (angles A and C). Angle A is 35°, angle C is 121°, so angle B is 56°.