Answer:
Step-by-step explanation:
Area of this shape is L*W*H
All dimensions are given, now you just have to multiply it
turn all fractions into improper fractions
10 3/8 = 83/8
1 3/4 = 7/4
2 1/2 = 5/2
[tex]\frac{83}{8}[/tex] * [tex]\frac{7}{4}[/tex] * [tex]\frac{5}{2}[/tex] = ?
= 2905/64 =
app. 45.39
Colleen has a prepaid phone card with $40 on it. It costs her $0.25 for each minute she spends on the phone. How much money will be left on the card if she speaks for 60 minutes?
Answer:she will have $25 left .
Step-by-step explanation:
0.25(60) = 15
$40 - $15 = $ 25
A rectangular swimming pool is 15 meters long, 10 1⁄2 meters wide, and 2 1⁄2 meters deep. What is its volume?
Answer:
393.75 m^3
Step-by-step explanation:
to find the volume, u need to multiply the length by the width by the height . when u multiply the 3 numbers u will get 393.75 m^3
Out of the 12 girls who tried out for the softball team, 10 will be chosen for the team. Find the number of different 10-person teams
Answer:
The answer is 66 ways .
Step-by-step explanation:
You have to use Combination because it says choosing 10 out of 12 as the position is not important :
12C10 = 66 ways of arrangements
The number of different 10-person teams are 66.
What is Combination?A combination is a mathematical technique for determining the number of potential arrangements in a set of objects where the order of the selection is irrelevant. You can choose the components in any order in combinations. Permutations and combinations are often mistaken.
We have out of the 12 girls who tried out for the softball team, 10 will be chosen for the team.
Using Combination
C(n, r) = n!/ r! (n- r)!
Here n = 12, r= 10
So, C(12, 10)= 12! / 10! (12- 10)!
= 12 x 11 x 10! / 10! x 2
= 6 x 11
= 66
There are 66 10-person teams.
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Rewrite the function by completing the square. f(x)=x^{2}+16x-46
x^2 + 16 - 46 = x^2 + 16 + 8^2 - 46 - 8^2 = (x + 8)^2 - 110
Answer:
[tex]f(x)=(x+8)^{2}-110[/tex]
Step-by-step explanation:
[tex]f(x)=x^{2}+16x-46 \\=x^{2}+2\times 8\times x-46 \\=x^{2}+16x+8^2-8^2-46 \\=(x+8)^{2}-64-46\\f(x)=(x+8)^{2}-110[/tex]
A cylinder and a cone are shown below. A cylinder with height 12 inches and volume 2,512 inches cubed. A cone with height 12 inches and volume 1,256 inches cubed. Which explains whether the bases of the cylinder and the cone have the same area? The bases have the same area because the heights are the same. The bases have the same area because the volume of the cone is One-half the volume of the cylinder. The bases do not have the same area because the volumes are not the same. The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
Answer:
It should be d, The bases do not have the same area because the volumes are not the same.
Step-by-step explanation:
did it on the unit review test
The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.
How to find the volume of a cone?The volume of a cone is given by the formula:
A = πr²h/3
How to find the volume of a cylinder?The volume of a cylinder is given by the formula:
A = πr²h
It is given that the height of both the cylinder and the cone is the same.
This means that the only way variable that influences the volume is the radius of the base.
The volume of the cylinder is three times the volume of the cone when the radius and height are equal.
But the volume of the cylinder is two times the volume of the cone in the given question.
This means that they have different radii which means that the bases are different.
Therefore, we have found that the bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights. The correct answer is option D.
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5.345345... can be expressed as (fraction form)
Answer:
5.(345)=1,780/333
Step-by-step explanation:
5.(345)=(5,345-5)/999=5,340/999=1,780/333
The fraction corresponds to given decimal is 1780/333.
What is fraction form?
A fraction is used to show how much of something is left over. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.
What will be the fraction for the given decimal number?Let x=5.345
The repeating number is 345
Multiply both sides by 1000
1000x=5345.345
Subtract x=5.345 from the obtained equation,
999x=5340
Solve for x,
x=5340/999
x=1780/333
Therefore, the fraction corresponds to given decimal is 1780/333.
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What is 8000000000x183838484747474747474747474
Answer:
1.47070788E36
Step-by-step explanation:
Someone please help me.
Answer:
D
Step-by-step explanation:
-4 x 3/2 = -12/2; which equals -6
so -6x.
-4 x -1/2 = 4/2; which equals 2
This means that:
-6x + 2 = 15; so 'D' is the answer
Answer:
D
Step-by-step explanation:
The distributive property states that a(b+c)=ab+ac. In this problem -4 is a, 3/2x is b, and -1/2 is c. -4(3/2) is 6, and -4(-1/2) is 2. So we have -6x+2=-15.
Enunciado: Traza la gráfica de la función. Traza también la gráfica de la asíntota, si es distinta al eje de x o al eje y. Define el Rango y el Dominio. h(x)=log(1/3) x
Answer:
The given function is
[tex]h(x)=log_{\frac{1}{3} } (x)[/tex]
It's important to know that logarithms are the opposite function to exponentials, which means their domains and ranges are defined the opposite way.
The domain of logarithms is restricted, because negative numbers or the zero is not allowed in their domains. So, the domain of this function is: [tex]D:(0, infinite][/tex]
On the other hand, its range is not restricted, so it's defined: [tex]R: (infinite, -infinite)[/tex]
The image shows the graph of this function, there you can observe its domain and range set definitions.
musa age is twothird of abus age if the sum lf their ages equals to 30 what is abu age
Answer:
the answer is 10 i think
If 2.6( d +1.4 )- 2.3d= 4,what is d?
Answer:
1.2 units
Step-by-step explanation:
2.6(d + 1.4) - 2.3d = 4
2.6d + 3.64 - 2.3d = 4
0.3d + 3.64 = 4
0.3d = 0.36
d = 1.2
how many times does 6 go into 29
Answer:
4 times
Step-by-step explanation:
Answer:
4.8333333 or 4 5/6 times
Step-by-step explanation:
29/6 = 4.83333333
The three squares that will form a right triangle are ...?
Answer:
Three squares that form right triangle:
A, E and C
Step-by-step explanation:
Area of E = 1^2 = 1
Area of A = 2.4^2 = 5.76
Area of C = 2.6^2 = 6.76
Area A + Area E = Area C
The slope field shown below is for the differential equation
y ' = 2x
y ' = 4 - 2x
y ' = y
y ' = x + y
Thank you in advance!
Answer:
y' = y
Step-by-step explanation:
The slopes are independent of x. So the only possible answer is y' = y.
A cylinder has a radius of 2 meters and a height of 10 meters. What is the volume of the cylinder? Cylinder V = Bh 1. Write the formula replacing B with the formula for the area of a circle: 2. Substitute the actual measures for the variables: 3. Evaluate the power: V = πr2h V = π(22)(10) V = π(4)(10) 4. Simplify: V = π m3
Answer:
125.6 cubic meters
Step-by-step explanation:
To calculate the volume of the cylinder, we will do it as follows:
Vc = Base area * Height
We know that the base of the cylinder is a circle, therefore:
Base area: pi * r ^ 2
replacing we have:
Vc = pi * (r ^ 2) * h
We have r = 2 and h = 10, we replace:
Vc = pi * (2 ^ 2) * 10
Vc = 40 * pi
pi = 3.14
Vc = 40 * 3.14
Vc = 125.6
Which means that the volume of the cylinder is 125.6 cubic meters
Answer:
It is 40
Step-by-step explanation:
I filled it in the blank and I got it correct edge 2020!
hope this helps :)
what is the answer to
0.75x-0.5=x+1.5
Answer:
The result for the equation is [tex]x = -8[/tex] .
Step-by-step explanation:
-Solve the equation:
[tex]0.75x -0.5 =x +1.5[/tex]
-Subtract [tex]x[/tex] from [tex]0.75x[/tex] :
[tex]0.75x -0.5-x =x -x+1.5[/tex]
[tex]-0.25x -0.5 = 1.5[/tex]
-Add both sides by 0.5 :
[tex]-0.25x -0.5 +0.5 =1.5 +0.5[/tex]
[tex]-0.25x = 2[/tex]
-Divide both sides by 0.25 :
[tex]\frac{-0.25x}{-0.25} =\frac{2}{-0.25}[/tex]
[tex]x = -8[/tex]
So, the answer for the equation is [tex]x = -8[/tex] .
I need to know this quick
Answer:
1) 943.895 mm3
2) 144 cm3
Step-by-step explanation:
1)
First we need to find the volume of the rectangular prism:
Volume_1 = 9 * 11 * 6 = 594 mm3
Then, we can find the volume of the half cylinder above the prism:
Volume_2 = 0.5*(pi * (4.5^2) * 11) = 349.895 mm3
So the volume of the figure is the sum of both volumes:
Volume_total = Volume_1 + Volume_2 = 943.895 mm3
2)
The volume of a pyramid is one third of the base area multiplied by the height, so we have:
Volume = (1/3) * 6 * 8 * 9 = 144 cm3
Answer:
1. Volume of the composite figure is 943.89 mm³
2. The volume, of the is 144 cm³
Step-by-step explanation:
1. The composite figure comprises of a cube and a half cylinder;
Volume of a cube = 9 mm × 11 mm × 6 mm = 594 mm³
Volume of the half cylinder = area of base × length = (π·r²)/2 × l
Where:
r = (Diameter of base)/2 = 9/2 = 4.5 mm
l = 11 mm
Therefore, plugging the values, gives;
Volume of the half cylinder = (π × 4.5²)/2 × 11 = 349.89 mm³
Hence, volume of the composite figure = Volume of the cube + Volume of the half cylinder
Volume of the composite figure = 594 mm³ + 349.89 mm³ = 943.89 mm³
2. The volume, V of a pyramid is given by the following relation;
[tex]V = \frac{l \times w \times h}{3}[/tex]
Where:
l = Length of base = 8 cm
w = Width of the base = 6 cm
h = Height of the pyramid = 9 cm
[tex]V = \frac{8 \times 6 \times 9}{3} = 144 \ cm^3[/tex]
Here we have that a cube of side x, therefore, the area = x·x, integrating we have;
[tex]\int\limits^x_0 {x \cdot x} \, dx = \frac{x^3}{3}[/tex]
Where:
Length, height width of the pyramid = x
It can therefore be shown, that for a pyramid of length, l, width, w, and height, h, the volume, [tex]V = \frac{l \times w \times h}{3}[/tex] .
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
A
Step-by-step explanation:
The rule for negative exponents is:
[tex]a^{-n} = \frac{1}{a^n}[/tex]
We have:
[tex]5^{-2}[/tex]
So, we can create a fraction with 1 as the numerator, and our exponent raised to a positive number as the denominator, and rewrite it as:
[tex]\frac{1}{5^2}[/tex]
Evaluate the exponent in the denominator
[tex]\frac{1}{5*5}\\\frac{1}{25}[/tex]
Therefore, choice A, 1/25 is correct.
1. f(x)=0.5x-1.5x +1I 4x<-1-1sx53 x>3
Answer:
sorry dont know
Step-by-step explanation:
good luck tho
\
f(x) = 0.5x-1.5x+1
4x<-1
-1 ≤ x ≤ 3
x < 3
A survey of all beings on the planet mimstoon found that 10 beings preferred lirt juice to all other juices If 25 beings are surveyed altogether what percent of them preferred Lirt juice
Answer:
The percentage of the surveyed that preferred Lirt juice is 40%
Step-by-step explanation:
In this question, we are asked to calculate the percentage of beings that preferred Lirt juice
Let’s look at the survey presented in the question. 10 beings preferred out of a total of 25
The percentage that preferred Lirt juice will thus be;
10/25 * 100%
= 10 * 4 = 40%
See question above
A) 7.2 cm
B) 9 cm
C) 10.6 cm
D) 12 cm
Answer:
B) 9 cm
Step-by-step explanation:
Just look at the triangle and use Pythagoras theoreum.
a² + b² = c²
a = 9 9 - 4.9 = 5
b = ?
c = 10
5² + b² = 10²
b² = 100 - 25
b² = 75
b = + - SQRT( 75 )
{Only the positive term has a meaning here.}
b = 8.66 rounded that is 9, which is answer B.
(x - 3)2
k.
+ 2x - 4 for x = 5
Answer:
4k + 6
Step-by-step explanation:
Quadratic equation. Find the value of m so that the roots of the equation (4 - m) x^2 + (2m + 4)x + (8m + 1) = 0 may be equal.
The quadratic has one root with multiplicity 2 if the discriminant is 0, which is
[tex](2m+4)^2-4(4-m)(8m+1)[/tex]
(That is, for a quadratic [tex]ax^2+bx+c[/tex], the discriminant is [tex]b^2-4ac[/tex].)
Set the discriminant equal to 0 and solve for [tex]m[/tex]:
[tex](2m+4)^2-4(4-m)(8m+1)=0[/tex]
[tex]4m^2+16m+16+32m^2-124m-16=0[/tex]
[tex]36m^2-108=0[/tex]
[tex]36m(m-3)=0[/tex]
[tex]\implies m=0\text{ or }m=3[/tex]
Gonna need this in like 5 hrs please help
Answer:
G. Oatmeal is the favorite type of cereal for 15% of the children
Step-by-step explanation:
Oatmeal is 15/50 of the students' favorites, so it would actually be 30% therefore it is not supported. Hope this was helpful! :)
When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be between 33 and 35 minutes, to the nearest tenth?
Answer:
[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]
And we can find the probability of interest with this difference
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]
And if we use the normal standard table or excel we got:
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]
And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %
Step-by-step explanation:
Let X the random variable that represent the times to conmutes to work of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(41,3)[/tex]
Where [tex]\mu=41[/tex] and [tex]\sigma=3[/tex]
We are interested on this probability
[tex]P(33<X<35)[/tex]
And we can solve the problem using the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And using this formula we got:
[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]
And we can find the probability of interest with this difference
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]
And if we use the normal standard table or excel we got:
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]
And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %
6.8x+9.3=-9.4+3.4(2-5x)
Answer:
x = -2.67
Step-by-step explanation:
6.8x + 9.3 = -9.4 + 3.4(-3x)
6.8x + 10.2x = -9.4 - 9.3
17x = -18.7
x = -2.67
Determine the scale factor from the point A(2, 6) of DEF to D’E’F’ where D(-8, 6), E(-8, 14), F(2, 3) (- 3, 6) and D’ (-3, 6) E’(-3, 10) and F’(2, 4.5) What is the scale factor?
Answer:
The scale factor to transform DEF to D'E'F' is 1/2
Step-by-step explanation:
DEF is
D(-8, 6), E(-8, 14), F(2, 3)
D'(-3, 6), E'(-3, 10), F'(2, 4.5)
Therefore;
DE = √((-8-(-8))²+(6-14)²) = 8
D'E' = √((-3 -(-3))² + (6 - 10)²) = 4
Similarly,
EF = √((-8 - 2)² + (14 - 3)²) = √(100 + 121) = √221
E'F' = √((-3 - 2)² + (10 - 4.5)²) = √(100/4 + 121/4) = (√221) × 1/2
Also
DF = √(-8 - 2)² + (6 - 3)² = √(100 + 9 =√109
D'F' = √(-3 - 2)² + (6 - 4.5)² = √(5² + 3²) = √((10/2)² + (3/2)²) = √(100/4 + 9/4) = (√109)×1/2
Therefore the ratio of DEF to D'E'F' = DE/D'F' = EF/E'F' = DF/D'F' = √221/(√221) × 1/2 = 2
That is the scale factor of DEF to D'E'F' = 1/2.
how do you do pythagorean
Answer:
a²+b²=c²
Step-by-step explanation:
a and b are the short legs of the triangle and c is the long edge (the hypotenuse). so if you take leg a and square it, then add it to leg b and square it then you will get the length of the hypotenuse
Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy
Answer:
The answer is sandy
Step-by-step explanation:
18/3= 6 why? because each glass of lemonade he drink he puts 3 table spoons, and a table spoon is the big spoon
hope this helped <3
find the approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches
Answer:
The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866
Step-by-step explanation:
The complete question is presented in the attached image to this answer.
It is stated that the distribution of tree diameters is approximately normal, hence, this is a normal distribution problem with
Mean diameter = μ = 8 inches
Standard deviation = σ = 2.5 inches
The approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = P(x < 5.5)
To solve this, we first normalize or standardize 5.5 inches
The standardized score for 45mg/L is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (5.5 - 8)/2.5 = - 1.00
The required probability
P(x < 5.5) = P(z < -1.00)
We'll use data from the normal probability table for these probabilities
P(x < 5.5) = P(z < -1.00) = 0.15866
Hope this Helps!!!