Answer:
188 cubic yards
Step-by-step explanation:
there are two ways to solve for this problem the first is to use the given numbers to find the missing one, then seperate the two cuboids and solve for their volumes independently, and finally add
the second way is too make one complete rectangular prism and simply find out the volume of the missing side and subtract that from the whole
Each cube in this figure measures 1 centimeter on each side.
What is the volume of this figure?
112 cm³
84 cm³
33 cm³
31 cm³
What is the area of a triangle whose vertices are J(-2, 1), K(0, 3), and L(4,4)?
Answer: 3
Step-by-step explanation:
what is t - s
please help me
t - s
-7-(-4)
-7+4
-3
hope it helps...!!!
Answer:
Top Secret
Step-by-step explanation:
top secret. Slang. tough sh#t (a euphemistic initialism used to avoid explicit vulgarity). See also sh#t (def. 31).
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pls answer!!! will mark brainliest!! 60 POINTS
The balance of the loan at 14 months= $10,561.25
It would take a total 23 months to pay off the loan.
The total amount of money paid for the car is = $9,052.5
Calculation of loan compounded monthlyThe total loan for the car = $8,500
The rate at which the loan is compounded monthly is
= 6.5%
The monthly payment for the loan = $390
To calculate the balance of the loan at 14 months;Find the simple interest
= P×T×R/100
= 8,500 × 1 × 6.5/100
= 55,250/100
= $552.5
If 12 months = 8,500 + 552.5
14 months = X
make X the subject of formula,
X = 14 × 9052.5/12
X= 126,735/12
X = $10,561.25
To calculate the period of time it will take to pay off the loanThe amount paid monthly = $390
The amount to be paid for the loan with interest = 8,500 + 552.5 = $9,052.5
If 1 month = $390
× month = $9,052.5
Make X the subject of formula,
X = $9,052.5/$390
X= 23 months
The total amount of money paid for the car is already calculated which is through the simple interest
= P×T×R/100
= 8,500 × 1 × 6.5/100
= 55,250/100
= $552.5
Total amount of money paid for the car= 8,500 + 552.5
= $9,052.5
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help pls
14 numbers are written in a row so that the sum of any three consecutive numbers is
19, and the sum of all the numbers is 77. Find the 9th number.
The series of numbers that meets the requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.
How to check that the series meets the requirements?To verify that the series meets the requirements, we must establish what the requirements are:
Every 3 consecutive numbers must add up to 19.In total there must be 14 numbers.The total sum of all the numbers must be 77.To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.
5 + 6 + 8 = 199 + 4 + 6 = 197 + 3 + 9 = 192 + 8 + 9 = 19In total there must be 14 numbers and they must add up to 77.
5+6+8+9+4+6+7+3+9+2+8+9+1 = 77
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x -10° 3x 5x X 2х - 10=360
Answer:
30°
Step-by-step explanation:
x+3x+(x-10)°+5x+(2x-10)°=360°
=>4x+x-10°+5x+2x+10°=360°
=>12x=360°
=>x=360°/12
=>x=30°
What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a cubic meter?
radius= 8 m
to find:the volume of the sphere
solution:[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{4}{3} \times \pi \times {8}^{3} [/tex]
[tex]v = 2144.66058 \: {m}^{3} [/tex]
[tex]v = 2144.7 \: {m}^{3} [/tex]
therefore, the volume of the given sphere is 2144.7 cubic meters.
[tex]\large\boxed{Formula: V= \frac{4}{3}\pi {r}^{3}}[/tex]
In this question the radius is given so we'll simply have to substitute the values and solve.
Let's solve!
Substitute the values according to the formula.
[tex]V= \frac{4}{3}\times\pi\times{8}^{3}[/tex]
Calculator value:
[tex]V= 2144.660585 \: {m}^{3}[/tex]
Now, we'll have to round off to the nearest tenth.
The value in hundredths place is greater than 5 so, we will have to round up which means, we'll have to add 1 to the tenths place.
Final answer:
[tex]\large\boxed{V= 2144.7 \: {m}^{3}}[/tex]
Hence, the volume of the given sphere is 2144.7 cubic meters.
Kegan thought that the solution to this equation might be around 10.
Does that make sense to you?
4x − 20 = 2x + 8
Answer:
x=14
Step-by-step explanation:
collect like terms, like so
Answer:4(x−2)−8=4+2x
Use the distributive property to multiply 4 by x−2.
4x−8−8=4+2x
Subtract 8 from −8 to get −16.
4x−16=4+2x
Subtract 2x from both sides.
4x−16−2x=4
Combine 4x and −2x to get 2x.
2x−16=4
Add 16 to both sides.
2x=4+16
Add 4 and 16 to get 20.
2x=20
Divide both sides by 2.
x=
2
20
Divide 20 by 2 to get 10.
x=10
Step-by-step explanation:
Find 3 consecutive positive integers such that the product of the larger 2 is equal to twice the second integer plus twice the sum of all 3 integers
Step-by-step explanation:
x, x+1, x+2 are the 3 consecutive positive integers.
(x+1)(x+2) = 2(x+1) + 2×(x+x+1+x+2)
x² + 3x + 2 = 2x + 2 + 2×(3x + 3)
x² + 3x + 2 = 2x + 2 + 6x + 6 = 8x + 8
x² - 5x - 6 = 0
we can solve this by finding the factoring.
that means we find a, b so that
(x - a)(x - b) = x² - 5x - 6 = 0
because then x = a and x = b are the 2 solutions of the quadratic equation.
we have
x² - ax - bx + ab = x² - (a+b)x + ab = x² - 5x - 6
a+b = 5
ab = -6
that means, either a or b must be 6 and the other -1.
so we get
(x - 6)(x + 1) = 0
x = 6
or
x = -1
since we are only looking for positive integers, the x = -1 solution is invalid, and we get only x = 6 as solution.
therefore the 3 consecutive positive integers are
6, 7, 8
If no digit can be used more than once, find how many numbers that can be formed from the digits 3, 4, 5, 6, 7, 8 are greater than 7000.
Answer:
1 560
Step-by-step explanation:
If no digit (from the digits 3, 4, 5, 6, 7, 8) can be used more than once :
we can form 6P5 = 720 (five-digit numbers) and they are all > 7000
we can form 6P6 = 720 (six-digit numbers) and they are all > 7000
if our number has four digits ,then the digit in the ten-thousands place of it must be 7 or 8 :
In this case :
we can form 5P3=60 number where the digit in the ten-thousands place of it is 7.
and we can form 5P3=60 number where the digit in the ten-thousands place of it is 8.
Final answer :
We can form 720+720+60+60 = 1 560 number greater than 7000
Write the Inequality shown in the diagram below
Answer:
-1 ≤ x < 3
Hope this helps ;)
what are the roots of x^2+7x+12
A:6&2
B:-6&-2
C:3&4
D:-3&-4
Answer:
D
Step-by-step explanation:
x² + 7x + 12
to find the roots equate the expression to zero
x² + 7x + 12 = 0
Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)
the factors are + 3 and + 4 , since
3 × 4 = 12 and 3 + 4 = 7 , then
(x + 3)(x + 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 4 = 0 ⇒ x = - 4
Answer:
D -3, -4.
Step-by-step explanation:
x^2 + 7x +12 = 0
12 = 3*4 and 7 = 3 + 4 so we write:
(x + 3)(x + 4) = 0
x + 3 = 0 , x + 4 = 0
So x = -3, -4.
A surveyor measures the angle of elevation at 20° for a point 5 miles away what is the vertical change in elevation from the point where the surveyor is standing to the point 5 miles away???
help please
Step-by-step explanation:
there are just some big words trying to confuse you.
it just means that there is a right-angled triangle :
there is the point on the ground, where the surveyor is standing.
then there is the elevated point up there, where the surveyor was measuring the angle to.
and then there is the point on the ground directly under this elevated point. at this point in the ground we have the right angle (90°).
this height of the elevated point above this ground point is what we are looking for, and it is one leg of the right-angled triangle.
the ground distance from the surveyor to the ground point under the elevated point is 5 miles and the second leg.
the direct line of sight from the surveyor to the elevated point is inclined up by 20°, and is the Hypotenuse (baseline opposite of the 90° angle) of the triangle.
remembering that the sum of all angles in a triangle is always 180°, we also know the angle at the elevated point :
180 - 90 - 20 = 70°
now we are using the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides are always opposite to their associated angles.
so, we have in our triangle
height/sin(20) = 5/sin(70)
height = 5×sin(20)/sin(70) = 1.819851171... miles
so, the elevated point is 1.819851171... miles above the elevation of the surveyor.
i need it fast
Did you know that all 50 states in the United States have some sort of state fair? Fairs and carnivals include a variety of games of chance that aren’t typically “fair.” What does it mean for a game to be fair? In this task, you’ll analyze different scenarios to determine fairness. You will use probability and expected value to make these determinations. You will also use these concepts to make decisions.
As you complete the assignment, keep this question in mind:
How can probability be applied to decision making?
Answer:
If a game is "fair" it most likely means that there is a chance of winning a prize that corresponds with the price of playing the game.
Step-by-step explanation:
There is no one correct answer, but that is the premise of answering a question like that. you will need to elaborate further.
Answer:
There is no correct answer. but you could use-
The key role of probability is to improve decision-making in the face of uncertainties. It helps decision-making objective and data-driven rather than based on instinct.
Step-by-step explanation:
HELPPP WITH MATH HOMEWORKKKK PLSSSS
Answer:
b, d, e
Step-by-step explanation:
Answer:
B, D, E
Read explanation... it always helps...
Step-by-step explanation:
alrighty, we know that anything positive multiplied by anything negative results in a negative number....
with that said.... b, d, and e are the only answer choices that result in a negative number that matches the expression -5/19
i hope this helps!!!
Reset Scarlet bought a coat originally priced at $120. She got a 15% discount. How much did she pay for the coat? $ $
Answer:
$102
Step-by-step explanation:
Reset Scarlet bought a coat originally priced at $120. She got a 15% discount. How much did she pay for the coat?
1. Convert the discount percentage to a decimal:
15/100 = 0.15
2. Multiply the original price by the decimal:
120*0.15 = $18
This is the discount they got.
3. Now, subtract the discounted value from the original price:
120 - 18 = $102
This means that they paid $102 for the coat.
Hope this helps!
Answer:
$102
Step-by-step explanation:
15% of 120
= 15/100×120
0.15×120=$18
therefore, 15% of 120 equal 18
discount= $18
Amount she paid= 120-18= $102
Ammonia, nh3 (delta.hf = –46.2 kj), reacts with oxygen to produce water (delta.hf = –241.8 kj) and nitric oxide, no (delta.hf = 91.3 kj), in the following reaction: 4 upper n upper h subscript 3 (g) plus 5 upper o subscript 2 (g) right arrow 6 upper h subscript 2 upper o (g) plus 4 upper n upper o (g). what is the enthalpy change for this reaction? use delta h r x n equals the sum of delta h f of all the products minus the sum of delta h f of all the reactants.. –900.8 kj –104.6 kj 104.6 kj 900.8 kj
The enthalpy change (ΔH) for the reaction given the data from the question is –900.8 KJ
Data obtained from the question4NH₃ + 5O₂ —> 6H₂O + 4NOEnthalpy of ammonia, NH₃ = –46.2 KJEnthalpy of Oxygen = 0 KJEnthalpy of water, H₂O = –241.8 KJEnthalpy of nitric oxide, NO = 91.3 KJEnthalpy change (ΔH) =?How to determine the enthalpy changeΔHrxn = ∑ΔH(products) - ∑ΔH(reactants)
ΔHrxn = ∑[H(H₂O) + H(NO)] - ∑[H(NH₃) + H(O₂)]
ΔHrxn = [(6 × –241.8) + (4 × 91.3)] – [(4 × –46.2) + (5×0)]
ΔHrxn = –1085.6 + 184.8
ΔHrxn = –900.8 KJ
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Answer:
A: –900.8 kJ
Step-by-step explanation:
Which of the following best describes a triangle with one right angle and two congruent sides
Answer:
isosceles triangle
Dalia has a jar with 6 red pencils and 4 green pencils. She will randomly pick two pencils without replacement. What is the probability that Dalia will pick two red pencils?
6/25
1/3
9/25
2/5
Im a bit confused on this type of probability so I would love an explanation so I can figure out the answer for myself
Answer:
1/3
Step-by-step explanation:
i have attached a tree diagram to help with your understanding, first branches show probability of picking either green or red the first time she picks one. The next set of branches show the updated probabilities after one pencil has been taken out.
f(x)=2x-3 and g(x)=x^2+1, find g(f(x))
Answer:
f(x)=2x-3, substitute the expression for g(x) in f(x)
f(x) = 2(x^2 + 1) - 3
f(x) = 2x^2 + 2 - 3
f(x) = 2x^2 - 1
Help please right now you will get thanks and brainlest and 25 points it's due at 9
Answer:
B.
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
Question 4
P(6) = Number of 6 rolled / Total rollsP(6) = 10/50P(6) = 1/5 = 0.2 = 20% [A, B, and E]Question 11
Part A
The complement of the event is all of the unlikely possibilitiesBasically everything other than rolling a 4[A, B, C, E, and F]Part B
P' (4) = 1 - P (4)P' (4) = 1 - 1/6P' (4) = 5/6
(2/3 - 3/4 × 1/8) ÷ (2/3 - 3/4 + 5/8)
[tex]( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} ) \div ( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )[/tex]
Solution:First, solve the brackets.
First bracket:
[tex]( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} )[/tex]
[tex] = \frac{55}{96} [/tex]
Second bracket:
[tex]( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )[/tex]
[tex] = \frac{13}{24} [/tex]
Then divide.
[tex] \frac{55}{96} \div \frac{13}{24} [/tex]
[tex] = \frac{55}{52} \: or \: 1\frac{3}{52} [/tex]
answer:
as improper fraction= 55/52
as mixed fraction= 1 3/52
hope this helps
Find the mean of the data: 125, 15, 30, 110, 70
Answer:
The mean of the data is 70
Step-by-step explanation:
Hope this helps you! :D
Answer:
70
Step-by-step explanation:
Mean-
Add all the numbers to the total = 350
Divide by the amount of numbers (125, 15, 30, 110,70 = 5 numbers)
350/5 = 70
A cylinder has a base area of 50π cm². Express the volume V of the cylinder as a function of its height h. (V = πr²h)
Step-by-step explanation:
the last option is your answer
someone please help me and solve for the unknowns and give reasons please
or can you just solve for the unknowns please
Answer:
Step-by-step explanation:
The angles labeled with 2x, 4x, and 3x are on a straight line so their sum is equal to 180
2x + 4x + 3x = 180 add like terms
9x = 180 divide both sides by 9
x = 20
The angle represented with 3x - 30 and the angle represented with 2x + 10 are alternate and their measurement is same
3x - 30 = 2x + 10 export like terms to same side of the equation
3x - 2x = 10 + 30
x = 40
to find the angles replace x with the value found for each.
A parasail rider wants to reach the maximum height allowed by the Federal Aviation Administration if the rider's boat is to tow the parachute at 30 miles per hour, how long should the tow line be to reach the maximum flying height? a. Draw and label a diagram to represent this situation. PLEASE HELP
From the information given, the towline must be completely released to enable it to get to the maximum height. This problem is a trigonometry problem because it involves a solution that looks like a right-angled triangle.
How else can the maximum height of the parasailer be identified?In order to determine the maximum height of the parasailer, the length of the rope or towline must be established.
If the length and the height are known, the angle of elevation can be determined using the SOHCAHTOA rule.
SOH - Sine is Opposite over Hypotenuse
CAH - Cosine is Adjacent Over Hypotenus; while
TOA - Tangent is Opposite over Adjacent.
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Circle O is centered on the origin with a diameter of 14 units. Determine if the point (−3,2√10) is on the circle. Explain your reasoning.
Answer:
Determine the equation of the circle.
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given:
center = (0, 0)diameter = 14Substitute the given values into the formula to determine the equation of the circle:
[tex]\implies (x-0)^2+(y-0)^2=7^2[/tex]
[tex]\implies x^2+y^2=49[/tex]
Given point: [tex](-3,2\sqrt{10})[/tex]
Input the x and y values of the given point into the derived circle equation. If it equals 49, then the point is on the circle:
[tex]\implies (-3)^2+(2 \sqrt{10})^2=9+40=49[/tex]
Therefore, the given point is on the circle centered at the origin with a diameter of 14 units.
Write the product using exponents.
I think it is negitave 6 times negitave 6 hope this helps.
Express 5x²-15x+1 in the form p(x+q)²+r, where p,q,r ate constants
Answer:
[tex] 5\bigg(x-\frac{3}{2}\bigg)^2-\frac{41}{4}[/tex]
Step-by-step explanation:
[tex] 5x^2-15x +1[/tex][tex]= 5\bigg(x^2-3x +\frac{1}{5}\bigg)[/tex][tex] =5\bigg[x^2-2.\frac{3}{2}x +\bigg(\frac{3}{2}\bigg)^2-\bigg(\frac{3}{2}\bigg)^2+\frac{1}{5}\bigg][/tex][tex] =5\bigg[\bigg(x-\frac{3}{2}\bigg)^2+\frac{1}{5}-\frac{9}{4}\bigg][/tex][tex] =5\bigg[\bigg(x-\frac{3}{2}\bigg)^2+\frac{4-45}{20}\bigg][/tex][tex] =5\bigg(x-\frac{3}{2}\bigg)^2-5.\frac{41}{20}[/tex][tex] =5\bigg(x-\frac{3}{2}\bigg)^2-5.\frac{41}{20}[/tex][tex] =5\bigg(x-\frac{3}{2}\bigg)^2-\frac{41}{4}[/tex]image below i will give brainliest
Answer:
10.6
Step-by-step explanation:
We can use the Pythagorean Theorem to find the radius, as we are given a right triangle. The hypotenuse is 16. So we have [tex]r^2 + 12^2 = 16^2[/tex].
Solving for [tex]r[/tex] (radius), we get [tex]r = \sqrt{16^2 - 12^2} = 10.6[/tex] (rounded to the nearest tenth place).