Answer:
it would be 40 inche and there be not that much for the hole to left
Answer:
840 cubic squares
Step-by-step explanation:
-3n + 4r + 2j+n + (-2r) - 10j Simplify and write the answer
Answer:
-8j -2n +2r
combine like terms
-3n + 4r + 2j+n + (-2r) - 10j
-3n+n
2j - 10j
(-2r) + 4
The volume of a sphere is 32
3
π cubic centimeters. What is the radius?
Sphere V = 4
3
πr3
1. Substitute 32
3
into the volume formula for V: 32
3
π = 4
3
πr3
2. Multiply both sides of the equation by 3
4
: 8π = πr3
3. Divide both sides of the equation by π. 8 = r3
4. Take the cube root of both sides: 3√8 = r
The radius of the sphere is
cm.
Answer:
The radius of sphere is 2 cm.
Step-by-step explanation:
Given that,
Volume of a sphere is, [tex]V=\dfrac{32}{3}\pi cm^3[/tex]
We need to find the radius of sphere. The formula of volume of sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
r is radius of sphere
Substitute the value of V in above formula. So,
[tex]\dfrac{32}{3}\pi =\dfrac{4}{3}\pi r^3\\\\32=4r^3\\\\r^3=8\\\\r=2\ cm[/tex]
So, the radius of sphere is 2 cm.
Answer:
2 I took the assignment
Step-by-step explanation:
Hal has three pieces of wood. Board A is 12 inches long, board B is 3 inches long, and board C is 7 inches long. If the full length of each board is used, can the three pieces of wood be placed together to form a triangle?
Taxicabs downtown charge a flat fee of $3.25, plus a state tax of $0.50, plus $0.50 for each 1/ 5 mile they travel with a passenger. Travis took a taxicab from his office to a meeting on the other side of town. The cab ride cost $14.75, which includes a $3.00 tip. In decimal form, how far is it from his office to the meeting?
Answer:
3.2 miles
Step-by-step explanation:
Initial fee plus state tax first because they are static:
3.25 + 0.5 = 3.75
Remove the initial charge plus tip from total cost:
14.75 - 3 - 3.75 = 8
Divide by 0.5 to get how many 1/5 of a mile he went:
8 / 0.5 = 16
Divide 16 by 5 to get miles:
16 / 5 = 3.2 miles
Answer:
3.2 miles
Step-by-step explanation:
Initial fee plus state tax first because they are static:
3.25 + 0.5 = 3.75
Remove the initial charge plus tip from total cost:
14.75 - 3 - 3.75 = 8
Divide by 0.5 to get how many 1/5 of a mile he went:
8 / 0.5 = 16
Divide 16 by 5 to get miles:
16 / 5 = 3.2 miles
25% of what number is 55
Answer:
25 percent (calculated percentage %) of what number equals 55? Answer: 220.
Step-by-step explanation:
Answer:
The answer is 220
Step-by-step explanation:
We have, 25% * x = 55
or,
25\100 * x = 55
Multiplying both sides by 100 and dividing both sides by 25,
we have x = 55 * 100/25
x = 220
If you are using a calculator, simply enter 55×100÷25, which will give you the answer.
HOPE THIS HELPS : )
14 girls and 17 boys attend a party. 6 girls and 7 boys brought balloons. What is the probability of randomly choosing a girl or someone who did not bring a balloon
Answer:
[tex]\dfrac{24}{31}[/tex]
Step-by-step explanation:
Given information:
Total number of girls = 14
Total number of boys = 17
Total number of peoples = 14 + 17 = 31
6 girls and 7 boys brought balloons.
Let A and B are two events, such that
A = Choosing a girl
B = Choosing someone who did not bring a balloon.
[tex]A\cup B[/tex] = Choosing girl or someone who did not bring a balloon.
[tex]n(S)=31,n(A)=14,n(B)=18,n(A\cup B)=14+10=24[/tex]
The probability of randomly choosing a girl or someone who did not bring a balloon is
[tex]P=\dfrac{n(A\cup B)}{n(S)}[/tex]
[tex]P=\dfrac{24}{31}[/tex]
Therefore, the required probability is [tex]\dfrac{24}{31}[/tex].
The probability of randomly choosing a girl or someone who did not bring a balloon at a party is 24 out of 31, which simplifies to the fraction 24/31.
To solve this problem, we can use the concept of probability and the addition rule since the events are not mutually exclusive.
First, let's define the total number of people at the party: 14 girls + 17 boys = 31 people.
Next, we look at the number of girls who brought balloons, which is 6, meaning there are 14 - 6 = 8 girls who did not bring balloons.
Similarly, 17 boys - 7 boys who brought balloons = 10 boys who did not bring balloons.
Now, let's calculate the number of ways to choose a girl or someone who did not bring a balloon. For the girls, it's simply the total number of girls, 14. For those who did not bring balloons, we need to add the number of girls who did not bring balloons to the number of boys who did not bring balloons: 8 girls + 10 boys = 18 people who did not bring a balloon.
Combining these, the event of choosing a girl overlaps with the event of choosing someone who did not bring a balloon, so we have to subtract the number of girls who did not bring a balloon once to avoid double-counting: 14 + 18 - 8 = 24.
Thus, the probability is: 24 out of 31, which we can write as 24/31.
09 CP
Write an algebraic expression for the phrase.
-2 times the quantity q minus 3
A.-2(9-3)
B.-29 - 3
C. 9-3
D. 90-2 - 3)
Answer:
the answer should be as follows:
-2(q-3)
the closest answer would be A
The diameter of a cylindrical construction pipe is 6 ft. If the pipe is 30 ft long, what is its volume?
Use the value 3.14 for pi, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
848 ft³
Step-by-step explanation:
The volume of a cylinder is given as:
V = pi * r² * h
Where r = radius of the cylinder
h = length of the cylinder.
The diameter of the cylindrical pipe, d = 6 ft
The radius of the cylindrical pipe, r = d/2 = 6 / 2 = 3 ft
The length of the cylindrical pipe, h = 30 ft
The volume of the cylindrical pipe is:
V = 3.14 * 3² * 30
V = 847.8 ft³ = 848 ft³ (to the nearest whole number)
The volume of the cylindrical pipe is 848 ft³.
The volume of a cylindrical construction pipe with a diameter of 6 ft and length of 30 ft can be calculated using the formula for the volume of a cylinder (V = πr²h). Given the specifics, the volume of the pipe is approximately 848 cubic feet.
Explanation:The subject of this question is determining the volume of a cylinder, in this case, a construction pipe. The formula used to calculate the volume of a cylinder is V = πr²h. Here, the diameter of the cylindrical pipe is 6 ft, therefore radius (r) is half of diameter which is 6/2 = 3 ft and the length of the pipe, h, is 30 ft. Substituting r and h into the equation, we have V = 3.14 * (3ft)² * 30ft = 3.14 * 9ft² * 30ft = 847.8 cubic feet. Rounding to the nearest whole number, the volume of the pipe is approximately 848 cubic feet. The unit of volume in this instance is cubic feet, which is a measure of space occupied by a three-dimensional object.
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Hund’s rule of maximum multiplicity specifies that _____. A. electrons will fill orbitals of lower energy first, pairing up only after each orbital of the same energy already has one electron B. electrons will fill orbitals of lower energy first, pairing up only after each s and p orbital has one electron C. electrons will fill all of the s orbitals before filling any p orbitals D. the pattern by which electrons occupy orbitals cannot be predicted
Answer:
A. electrons will fill orbitals of lower energy first, paring up only after each orbital of the same energy already has one electron
Step-by-step explanation:
The rule states that for a given electron configuration, the lowest energy term is the one with the greatest value of spin multiplicity. This implies that if two or more orbitals of equal energy are available, electrons will occupy them singly before filling them in pairs.
0.0025 as a square root
Answer:
Accoridng to your question we have to find the square root of 0.0025
However students face some problem in finding square roots of number in decimal but it is too easy to find .
√0.0025
0.05 is the square root of 0.0025
after decimal there are two zero and by square root there will be one zero and 25 is the square root of 5 .
so thus we find the square root amd the correct answer is 0.05
The square root of 0.0025 is 0.05, which follows the rule that the square root of a decimal results in half the number of decimal places in the square root, compared to the original number.
Explanation:The student has asked to find the square root of 0.0025. When expressed as a square root, the number 0.0025 is equal to 0.05 because (0.05 * 0.05 = 0.0025). This can be understood by recognizing that the decimal places need to be managed correctly when finding the square root of a decimal. For instance, the square root of 25 is 5, and since 0.0025 has four decimal places, the square root will have half as many decimal places, resulting in 0.05. This concept is further emphasized by using fractional powers, such as re-expressing a number squared (x²) as the square root ( √x ), where x to the power of 2 is the same as x to the power of 1/2.
I need help!!bASAP- What is the mean and MAD of this data set? Let me know
Answer:
Step-by-step explanation: for the mean, add up the list of numbers and divide by how many numbers there are, in this case its 7
which of the following quotients are negative check all that apply
Answer:B and D
Step-by-step explanation:Hopes this helps to anyone who finds this
a box is shaped like a cube the box has a length of 1 foot of width of 1 foot and a height of 1 foot what is the volume of the box
Final answer:
The volume of the cube-shaped box, with each side measuring 1 foot, is 1 cubic foot, calculated by multiplying the length by the width by the height.
Explanation:
To find the volume of a cube-shaped box, you multiply the length by the width by the height. Since the box in question has a length, width, and height of 1 foot each, the calculation is quite straightforward:
Volume = length × width × height
Volume = 1 ft × 1 ft × 1 ft
Volume = 1 cubic foot
Therefore, the volume of the cube-shaped box is 1 cubic foot.
Two of the steps in the derivation of the quadratic formula are shown below.
Step 6: StartFraction b squared minus 4 a c Over 4 a squared EndFraction = (x + StartFraction b Over 2 a EndFraction) squared
Step 7: StartFraction plus or minus StartRoot b squared minus 4 a c EndRoot Over 1 a EndFraction = x + StartFraction b Over 2 a EndFraction
Which operation is performed in the derivation of the quadratic formula moving from Step 6 to Step 7?
subtracting StartFraction b Over 2 a EndFraction from both sides of the equation
squaring both sides of the equation
taking the square root of both sides of the equation
taking the square root of the discriminant
GIVING 20PTS. TO WHOEVER HELPS ALONG WITH 5 STARS
Answer:
C
Step-by-step explanation:
I just guessed and got it right
Answer:
C. taking the square root of both sides of the equation
Can someone explain what you do here!! Kind of low on time!!
Answer:
a:
[tex]sin(\theta)=\frac{opposite}{hypotenus}[/tex]
[tex]sin(60)= \frac{a}{4\sqrt3}[/tex]
[tex](4\sqrt3)sin(60)= a[/tex]
[tex](4\sqrt3)(\frac{\sqrt3}{2})= a[/tex]
[tex]6= a[/tex]
b:
the answer choices all have the same value for b, so I dont have to solve for b at all.
[tex]b=6\sqrt2[/tex]
c:
[tex]cos(\theta)=\frac{adjacent}{hypotenus}[/tex]
[tex]cos(60)= \frac{c}{4\sqrt3}[/tex]
[tex](4\sqrt3)cos(60)= c[/tex]
[tex](4\sqrt3)(1/2)= c[/tex]
[tex]2\sqrt3= c[/tex]
d:
d is inside a 45-45-90 triangle. Therefore, side a and d must be of the same length.
[tex]d=a[/tex]
[tex]d=6[/tex]
ASB is selling In-N-Out as a fundraiser. Fries cost $2 and shakes cost $3. Students can only buy one item each. ASB wants to know which sells better but they lose track of what they sold. They know 105 students bought either fries or a shake. They count their money and it's $245. How many fries (x) and shakes (y) did they sell?
Answer:
The number of fries and shakes sold are 70 and 35 respectively.
Step-by-step explanation:
The number of fries sold can be denoted by x.
The number of shakes sold can be denoted by y.
The equation representing the total number of items sold is:
x + y = 105...(i)
The cost fries is, $2.
The cost of shakes is, $3.
The equation representing the total money earned is:
2x + 3y = 245...(ii)
Solve equations (i) and (ii) simultaneously as follows:
Multiply equation (i) by 3 and subtract:
3x + 3y = 315
2x + 3y = 245
(-) (-) (-)
___________
x = 70
Compute the value of y as follows:
x + y = 105
70 + y = 105
y = 105 - 70
y = 35
Thus, the number of fries and shakes sold are 70 and 35 respectively.
Triangle A B C is shown. Angle A C B is a right angle. The length of the hypotenuse is 20.
What additional information would be necessary to determine sin(A) without using the Pythagorean theorem? Explain.
The length of AC is needed because it is the side adjacent to ∠A.
The length of AC is needed because it is the side opposite ∠A.
The length of BC is needed because it is the side opposite ∠A.
The length of BC is needed because it is the side adjacent to ∠A.
Answer:
The length of BC is needed because it is the side opposite ∠A.
Step-by-step explanation:
Given the right angles triangle as shown in the attachment, we can get sin(A) without using Pythagoras theorem. Instead we will use SOH CAH TOA trigonometry identity.
According to SOH:
Sin(A) = Opposite/Hypotenuse
Sin(A) = |BC|/|AB|
Opposite side of the triangle is the side facing ∠A.
Based on the formula, we will need to get the opposite side of the triangle which is length BC for us to be able to determine sinA since the hypotenuse is given.
Answer:
Bc is needed because it is opposite of A
Step-by-step explanation:
If you wanted to calculate the amount of cardboard needed to create a cereal box
what would you be solving for?*
(1 Point)
Volume?
Lateral Surface Area?
Total Surface Area?
Answer: Total Surface Area
Step-by-step explanation:
Hi, to calculate the amount of cardboard needed to create a cereal box we have to calculate the total surface area.
The volume is used to calculate the amount of cereal that the box can contain, and the lateral surface area will not include all the cardboard needed for the complete box.
Feel free to ask for more if needed or if you did not understand something.
To calculate the amount of cardboard needed to create a cereal box, we would be solving for the Total Surface Area. This is the sum of the areas of all the faces (or sides) of the box.
Explanation:When we talk about the amount of cardboard needed to create a cereal box, we are interested in determining the
Total Surface Area
of the box. The surface area is the measure of the total amount of material needed to cover the surface of an object. If we're considering a cereal box, which is a three-dimensional rectangular prism, its total surface area is calculated by summing up the areas of all its six faces (top and bottom, front and back, left and right). Specifically, the formula for the total surface area of a box or rectangular prism is 2lw + 2lh + 2wh where l is the length, w is the width, and h is the height.
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Solve:
3x - 4+2(x-5)= 9x + 8- 2x
Answer:
x = -11
Step-by-step explanation:
3x - 4 + 2(x - 5) = 9x + 8 - 2x
3x - 4 + 2x - 10 = 9x + 8 - 2x
3x + 2x - 9x + 2x = 8 + 10 + 4
- 2x = 22
- x = 22/2
- x = 11
x = - 11
The equation 3x - 4+2(x-5)= 9x + 8- 2x can be solved by first simplifying to 5x - 4 = 7x + 8. After re-arranging, it simplifies to -12 = 2x, and therefore, x = -6.
Explanation:To solve this equation, first simplify and combine like terms on each side of the equation. That gives us: 5x - 4 = 7x + 8. Next, let’s get all the x terms on one side. To do that, we subtract 5x from both sides, which gives us -4 = 2x + 8. Then, subtract 8 from both sides to isolate the 'x', resulting in -12 = 2x. Finally, divide both sides by 2 to find the value of x, which is -6.
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A raindrop was 24 meters above the ground, falling straight down at a constant velocity. It took the raindrop 3 seconds to fall half the distance to the ground. What was the raindrops velocity?
Answer:
4 m/s downwards
Step-by-step explanation:
Velocity is given by dividing the distance by time taken to cover the diatance. Therefore, expressed as v=d/t
The distance is given as 24 m but the time given covers only half the distance. Therefore, the distance is 0.5*21=12 m
Time taken is given as 3 s
Substituting 12 m for d and 3 s for t then
V=12/3= 4 m/s
Velocity must have direction component hence velocity is 4 m/s downwards
x + 3/3+x=?
................................
Answer:
1x^2
Step-by-step explanation:
Given LaTeX: f\left(x\right)=x^{^3}-3x+4f ( x ) = x 3 − 3 x + 4, determine the intervals where the function is increasing and where it is decreasing.
Answer:
Increasing: [tex]x<-1[/tex] and [tex]x>1[/tex].
Decreasing: [tex]-1<x<1[/tex]
Step-by-step explanation:
We have been given a function [tex]f(x)=x^3-3x+4[/tex]. We are asked to determine the intervals, where the function is increasing and where it is decreasing.
First of all, we will find critical points of our given function by equating derivative of our given function to 0.
Let us find derivative of our given function.
[tex]f'(x)=\frac{d}{dx}(x^3)-\frac{d}{dx}(3x)+\frac{d}{dx}(4)[/tex]
[tex]f'(x)=3x^{3-1}-3+0[/tex]
[tex]f'(x)=3x^{2}-3[/tex]
Let us equate derivative with 0 as find critical points as:
[tex]0=3x^{2}-3[/tex]
[tex]3x^{2}=3[/tex]
Divide both sides by 3:
[tex]x^{2}=1[/tex]
Now we will take square-root of both sides as:
[tex]\sqrt{x^{2}}=\pm\sqrt{1}[/tex]
[tex]x=\pm 1[/tex]
[tex]x=-1,1[/tex]
We know that these critical points will divide number line into three intervals. One from negative infinity to -1, 2nd -1 to 1 and 3rd 1 to positive infinity.
Now we will check one number from each interval. If derivative of the point is greater than 0, then function is increasing, if derivative of the point is less than 0, then function is decreasing.
We will check -2 from our 1st interval.
[tex]f'(-2)=3(-2)^{2}-3=3(4)-3=12-3=9[/tex]
Since 9 is greater than 0, therefore, function is increasing on interval [tex](-\infty, -1) \text{ or } x<-1[/tex].
Now we will check 0 for 2nd interval.
[tex]f'(0)=3(0)^{2}-3=0-3=-3[/tex]
Since -3 is less than 0, therefore, function is decreasing on interval [tex](-1,1) \text{ or } -1<x<1[/tex].
We will check 2 from our 3rd interval.
[tex]f'(2)=3(2)^{2}-3=3(4)-3=12-3=9[/tex]
Since 9 is greater than 0, therefore, function is increasing on interval [tex](1,\infty) \text{ or } x>1[/tex].
Chloe is about to perform a relay handoff on a circular track that has a radius of 100 meters. She
needs to run 143.12 meters to pass the baton to her track partner Claire. This means that Claire is
standing
away from her
Which of the following can be use to fill in the above blank?
Answer:
Claire is standing at a distance of 485.45 meters to Chloe.
Step-by-step explanation:
The track is a circular with a radius of 100 meters.
The total length of the circular track = length of the circumference of a circle
But, length of the circumference of a circle = 2[tex]\pi[/tex]r
So that,
total length of the circular track = 2[tex]\pi[/tex]r
= 2 × [tex]\frac{22}{7}[/tex] × 100
= 628.57
The total length of the circular track is 628.57 meters.
Thus,
the distance of Claire to Chloe = total length of the circular track - distance of Chloe to Claire
= 628.57 - 143.12
= 485.45
This means that Claire is standing at a distance of 485.45 meters to Chloe.
Find the center and radius of the circle with the equation:
(x - 3)2 + (1 - 1)2 - 10
center: (-3,-1)
au center ( 1)
radius: 4
radius: 4
center: (-3,-1)
d. center (
31)
radius: 16
radius 16
Please select the best answer from the choices provided
Pleaseeee help
Answer:
It’s 14
Step-by-step explanation:
Just add
Solve the equation for x.
-13 + x= 7 + 5x
5
1.5
-1.5
5
Step-by-step explanation:
Bringing like terms on one side
-13 - 7 = 5x - x
-20 = 4x
-20/ 4 = x
- 5 = x
how many attended the basketball game but did not attend the school play
Answer:
Need more information
Step-by-step explanation:
What is the end behavior of the graph of f(x)=x^5-8x^4+16x^3
Answer:
As x approaches -∞, y approaches -∞
As x approaches ∞, y approaches ∞
Step-by-step explanation:
The more negative your x gets, the more negative your y gets for (most of the equation).
The more positive your x gets, the more positive your y gets (for most of the equation).
(AKS 16/17): You have earned $200 doing chores around the house. How long will it
take to triple your money if you keep it in an account earning 4.25% compounded
continuously? Use the formula:
Answer:
It will take 26 years
Step-by-step explanation:
In this question, we are tasked with calculating the time it will take for an amount of money earned to be tripled if compounded continuously.
To calculate this amount of time, we are going to use the formula for compound interest. Mathematically, for an interest compounded, the amount is as follows;
[tex]A = P(1 + r/n)^{nt}[/tex]
Where;
A is the amount at the end of compounding; which is 3 times the original amount = 3 × $200 = $600
P is the initial amount = $200
r is the rate of compounding = 4.25% = 4.25/100 = 0.0425
n is the number of times in which the amount is compounded annually, we take this as 1
t is the time taken to reach the amount
We substitute these values in the equation;
600 = 200(1 + 0.0425/1)^t
Divide through by 200
3 = (1.0425)^t
Take the logarithm of both sides
log 3 = log(1.0425)^t
log 3 = tlog 1.0425
t = log 3/log1.0425
t = 26.4 which is approximately 26 years
Which is a factor of x^2-9x+14
Answer:
x =2 or x=7
Step-by-step explanation:
x^2-9x+14= 0
Now splitting the middle term we get,
x^2-7x -2x +14 =0
x(x-7) - 2(x-7) =0
(x-2) (x-7) =0
x-2=0 or x-7 =0
x =2 or x=7
The factors of [tex]x^2-9x+14[/tex] are (x - 7) and (x - 2)
What is an algebraic expression?"It is a mathematical statement which consists of variables and constants, and some algebraic operations."
What is quadratic expression?"It is a polynomial expression with degree 2""The general form is [tex]ax^{2} +bx+c[/tex] where a, b, c are real values with [tex]a\neq 0[/tex] "For given question,
We have been given a quadratic expression [tex]x^2-9x+14[/tex]
We need to factorize given quadratic expression.
[tex]\Rightarrow x^2-9x+14\\\\= x^2-7x-2x+14~~~~~~~~...........(-9x=-2x-7x~~and~14=(-9)\times (-2))\\\\=x(x-7)-2(x-7)\\\\=(x-7)(x-2) ~~~~~~~~~~~~............(Seperate~out~common~terms)[/tex]
Therefore, the factors of [tex]x^2-9x+14[/tex] are (x - 7) and (x - 2)
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what is Value of Gummy Bear,Value of Lollipop,Value of Lime Gummy,Value of Ring Pop,Value of the Question Mark
Gummy Bear = 16
Lollipop = 16
Lime = 0
Ring pop = 4
Question mark (total) = 36