Answer:
x=501
Step-by-step explanation:
so to find x we take -8016 divide by -16 which equal 501
The required value of x when dividing -8016, the value obtained is -16, is 501.
On dividing -8016 by x, the value obtained is -16. Find the value of integer
What is simplification?In mathematics to operate and interpret the function to make function simple or more understandable called simplification.
Here,
-16 = -8016/x
x = 8016/16
x = 501
Thus, the required value of x when dividing -8016, the value obtained is -16, is 501.
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A trucking company needs to move a pile of dirt. The dirt is stored in a pile shaped like a cone. The pile is 12 yards high, and its base has a diameter of 8 yards. How many truckloads will the company need, if each truck holds 6.28yd3 of dirt?
Answer:
it will take 96 truckload trips to move the entire pile of dirt.
Step-by-step explanation:
The formula for the volume of a cone of height h and radius r is
V = πr²h. Here, the radius, r, is half the given diameter, or r = d/2, or r = (8 yds)/2, or 4 yds, and the height is 12 yds. Thus, in this case, the volume of the conical pile of dirt is
V = π(4 yd)²·12 yd, or
V = 3.14(16 yd²)(12 yd), or
V = 602.88 yd³
If each truck holds 6.28 yd³ and we want to know how many truckloads the company needs in order to move the conical pile, we divide the above volume (V) by 6.28 yd³:
V 602.88 yd³
------------- = --------------------------------------- = 96
6.28 yd³ (6.28 yd³ per truckload)
We interpret this to mean that it will take 96 truckload trips to move the entire pile of dirt.
The number of truckloads the company will need is A = 32 truckloads
What is a Cone?A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the center of base) called the apex or vertex.
The volume of a cone is given by the equation
Volume of Cone = ( 1/3 ) πr²h
where r is the radius of the cone
h is the height of the cone
Surface area of the cone = πr ( l + r )
where l = √ ( b² + r² )
Given data ,
The first step is to find the volume of the pile of dirt using the formula for the volume of a cone: V = ( 1/3 ) πr²h, where r is the radius of the base and h is the height.
The height of the cone is given as 12 yards, and the diameter of the base is 8 yards, so the radius is half of that, or 4 yards. Plugging in these values, we get:
V = (1/3)π (4 yards)² (12 yards)
V ≈ 201.06 yards³
Next, we need to find out how many truckloads the company will need.
We know that each truck can hold 6.28 cubic yards of dirt, so we can divide the total volume of dirt by the volume of one truckload to find the number of truckloads needed:
201.06 cubic yards / 6.28 cubic yards/truckload ≈ 31.99 truckloads
Since the company can't order a fractional number of truckloads, they will need to round up to the nearest whole number.
Hence , the company will need 32 truckloads to move the pile of dirt
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round to the nearest tenth place it is repeating decimal 4/6
Answer:
0.7
Step-by-step explanation:
I divided 4 by 6
0.6666666666666...
Simplify to 0.7
What is the sum of the numbers one plus one
Answer:
2 is the sum of one plus one
Answer:
2
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1111111111
Answer:
261
Step-by-step explanation:
Answer:
i think its 261
Step-by-step explanation:
On his afternoon jog Chris took 42 minutes to run 3.75 miles. How many miles can he run in 90 minutes?
Answer:
8.03
Step-by-step explanation:
43 min = 3.75 miles
90 min = X
99 min×3.75÷42=8.03
Write the function for the graph.
(1,8) (0,2). will give brainliest
Answer:
D
Step-by-step explanation:
you have it right :)
The function with the coordinates (1, 8) and (0, 2) is [tex]f(x)=2\times(4)^x[/tex]. Therefore, option D is the correct answer.
What is the exponential function?Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
From the given graph, the coordinate points are (1, 8) and (0, 2)
Using the formula [tex]y=a\times(b)^x[/tex]
Where, a is x-intercept
Substitute, a=2 and (x, y)=(1, 8) in [tex]y=a\times(b)^x[/tex], we get
[tex]8=2\times(b)^1[/tex]
⇒ b=4
Substitute a=2 and b=4 in [tex]y=a\times(b)^x[/tex], we get
[tex]y=2\times(4)^x[/tex]
⇒ [tex]f(x)=2\times(4)^x[/tex]
Therefore, the function for the given coordinates is [tex]f(x)=2\times(4)^x[/tex].
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WORTH 60 POINTS AND BRAINLIEST. DO NOT PLAGIARIZE OR WRITE FAKE ANSWERS I WILL REPORT THANK YOU!!
A. David notices that the shape of the Ligersville toxic dump site is somewhat like a triangle. He claims that he can approximate the perimeter of the dump site without doing any extra measurements. What assumption about side AB of the dump site would David need to make in order to justify his claim?
B. Based on the assumption in part A, determine the approximate length of side AB of the dump site. Explain your reasoning in at least two sentences.
C. Determine the approximate perimeter of the Ligersville toxic dump site. Explain your reasoning.
Answers and Step-by-step explanations:
A. David would need to assume that side AB is the hypotenuse of the almost-right triangle that A, B, and C make. That way, he can use the Pythagorean Theorem to solve for AB.
B. AB² = 24² + 32² = 1600 ⇒ AB = √1600 = 40 yards
We can use the Pythagorean Theorem because we assume that ABC is in the form of a right triangle, with AB as the hypotenuse. Then since whenever we have a right triangle, we can use the Pythagorean Theorem to solve for an unknown side, that applies here as well.
C. The approximate perimeter is 24 + 32 + 40 = 96 yards. Using the approximation of AB from part B, we simply add up all the side lengths of this "triangle", as that is the definition of "perimeter". Thus, when we add them all together, we get a total of 96 yards.
Answer:
A. Assumption: length of the curve AB is equal to the hypotenuse of the triangle formed AB was a straight line.
B. 40 yards
C. 96 yards
Step-by-step explanation:
A. Assumption: length of the curve AB is equal to the hypotenuse of the triangle formed AB was a straight line.
B. AB² = 32² + 24²
AB² = 1600
AB = 40
Since we have assumed that AB is equal to the hypotenuse, we can use pythagoras theorem to find an approximate length of AB
C. Perimeter is the sum of all lengths:
32 + 24 + 40 = 96
i need help with the following question above please
Answer:
2a+c ( not sure if this is what you are looking for!)
Step-by-step explanation:
Find the length of the third side to the nearest tenth.
Answer:
5.3
Step-by-step explanation:
You use the Pythagoras theorem which is a^2+b^2=c^2.
Since you're solving for a side length that's not the hypotenuse you will manipulate the equation to c^2-a^2=b^2. From here you just plug in numbers.
8^2 - 6^2 = b^2
64 - 36 = b^2
b = sqrt(28)
b = 5.2915.... = 5.3
Meg purchased a stereo system at a local store. It cost $675. She paid for it in six equal installments of $139 each. How much interest did she pay?
Explanation plz. Would like to know how to solve for future questions.
Answer:
159
Step-by-step explanation:
She paid 6 payments of 139
6*139 = 834
The cost was 675
834-675 =159
The interest was 159
Luis Marissa and Federico are raising money for a school trip Luis has raised 6/7 of the total amount needed,Marissa has raised 5/9 of the total amount needed and Federico has raised 11/10 of the total amount needed.Who has raised the MOST Money
Answer:
Federico
Step-by-step explanation:
Students were asked to write 6x^5 + 8x - 3x^3 + 7x^7 in standard form. Shown below are four
student responses.
Anna: 7x^7+ 6x^5 - 3x^3 + 8x
Mario: -3x^3 + 6x^5 + 7x^7 + 8x
William: 8x + 7x^7+ 6x^5 - 3x^3
Olivia: 8x - 3x^3 + 6x^5 + 7x^7
Which student is correct?
Answer:
Anna
Step-by-step explanation:
In standard form the first term is the term with the largest exponent.
The following terms are then in descending order of exponents.
The term with the largest exponent is 7[tex]x^{7}[/tex] ← first term
The expression in standard form is
7[tex]x^{7}[/tex] + 6[tex]x^{5}[/tex] - 3x³ + 8x ← Anna
what do 10n represent in p (n)=10n-1200
Step-by-step explanation:
The term 1200 represents the 11
Can someone help me answer this please.
Answer:
yes it is correct
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
Here are some of the Pythagorean Triples:
(3,4,5)
(5,12,13)
(7,24,25)
(8,15,17)
(9,40,41)
(11,60,61)
(12,35,37)
(13,84,85)
You'll see that 8, 15, 17 is a Pythagorean Triple so yes, it is a right triangle.
Rosa tiene 55 hojas de colores y
les encargo a sus dos sobrinas
Thalía y Paulina que hicieran
paquetes con 6 hojas cada uno.
¿Cuántos paquetes podrían hacer
con 55 hojas?
Answer:
9 packages
Step-by-step explanation:
Each package will have 6 sheets, so to find the number of packages for 55 sheets, we can just use a rule of three:
1 package -> 6 sheets
x packages -> 55 sheets
x * 6 = 55 * 1
x = 55 / 6 = 9.17
Rounding down, we have x = 9 packages.
So it can be done a total of 9 packages, and there will be (55 - 9*6) = 1 sheet left.
What is the slope of the line through (-10,1)(−10,1) and (0,-4)(0,−4)?
choose one:
A[-2]
B[2]
C[1/2]
D[-1/2]
Answer:
-1/2
Step-by-step explanation:
To find the slope
m = (y2-y1)/(x2-x1)
m= (-4 -1)/(0- - 10)
= (-4-1)/(0+10)
= -5/10
= -1/2
Answer:
D
Step-by-step explanation:
hope this helps
Una catedral esta situada en la cima de una colina. Cuando la punta de su torre se observa desde el ple de la loma, el angulo de elevacion es de 48°. Cuando se ve desde un punto a una distancia de 6096 m del pie del promontorio, el angulo de elevacion es de 41° la cuesta de la colina forma un angulo de 32° Aproxima la altura de la catedral
Answer:
La altura de la catedral es de 15119,97 m.
Step-by-step explanation:
Para una respuesta única, la pregunta se formula de la siguiente manera:
Una catedral se encuentra en la cima de una colina. Cuando se ve la parte superior de su torre desde la parte inferior de la colina, el ángulo de elevación es de 48 °. Cuando se ve desde un punto a 6096 m del pie del promontorio, el ángulo de elevación es de 41 °, la pendiente de la colina forma un ángulo de 32 ° Se aproxima a la altura de la catedral
Deje que la base de la colina = C
El punto 6096 m de la base = A
La cima de la catedral = B
∴ ∠A = 41 °
∠C = 180-48 = 132 °
∠B = 180 - (41 + 132) = 7 °
[tex]\dfrac{6096}{sin7} = \dfrac{CB}{sin41}[/tex]
∴ CB = 32816.59 m.
Punto E = Base de la catedral.
Punto D = Punto debajo de la base de la catedral al nivel del pie de la colina
Por lo tanto, la altura de la catedral = BE
∡ABE = 90-41 = 49 °
∡CED = 90-32 = 58 °
∴ ∡CEB = 180 - 58 ° = 122 °
De la regla seno tenemos;
[tex]\dfrac{CB}{sin(\angle CEB)} = \dfrac{BE}{sin(\angle ECB)}[/tex]
∠EBA = 90 - 48 = 42°
∠EBC = 42 - 7 = 35°
∠ECB = 180 - 35 - 122 = 23°
[tex]\therefore \dfrac{32816.59 }{sin(122)} = \dfrac{BE}{sin(23)}[/tex]
[tex]BE = \dfrac{32816.59 }{sin(122)} \times sin(23) = 15119.97 \ m[/tex]
La altura de la catedral = 15119,97 m.
Aprivate high school charges $57,000 for tuition, but this figure is expected to rise 10% per
year. What will the tuition be in 3 years?
Answer:
$75,867
Step-by-step explanation:
that will be the answer
Someone please help me
Answer:
y=4x+5
Step-by-step explanation:
Liner graph, therefore, y=mx+b; b is the y intercept; m is the slope
b=5, another pair is (-1,1)
need to find m first
Substituting we get:
⇒1= m(-1) + 5
⇒1= -1m + 5
⇒1-5= -m
⇒-4 = -m
⇒m=4
Eq: y=4x+5
Antonio has a kite, in the directions on how to put the kite together it says that the drawing is to scale where 10 cm = 1 meter. If the kite when put together is 1.5 m. Tall, how tall is it in the drawing?
Answer: 15cm.
Step-by-step explanation:
Hi, to answer this question we have to multiply the real height of the kite (1.5m) by the scale factor of the drawing (10):
Mathematically speaking:
Since 1 m = 10 cm
So:
1.5 m x 10 cm/m = 15 cm
The kite is 15 centimeters tall in the drawing.
Feel free to ask for more if needed or if you did not understand something.
if the radius of a circle 3 meters. what is the circles diameter?
Answer:
6 m
Step-by-step explanation:
the radius is half of the diameter
Rodger bowled seven games last week. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the median of Rodger's score?
Answer
The median is 155
Step-by-step explanation:
You get the numbers from least to greatest then the middle number is your median.
If using the method of completing the square to solve the quadratic equation x^2+15x+25=0x
2
+15x+25=0, which number would have to be added to "complete the square"?
Answer:
x = -15/2 ± (1/2)*5√5
Step-by-step explanation:
I will assume that you meant x^2+15x+25=0.
To complete the square, take half of the coefficient of x, square the result, add this square into the equation after '15x,' and then subtract the square from the result:
x^2+15x+25=0 => x^2 + 15x + (15/2)^2 - (15/2)^2 + 25 = 0.
Rewrite the first two terms as (x + 15/2)^2 - 225/4 + 100/4 = 0, or
(x + 15/2)^2 - 125/4 = 0
Taking the square root of both sides, we obtain the solutions:
x + 15/2 ±√[125/4], or
x = -15/2 ± (1/2)*5√5
The quadratic equation x²+15x+25=0, (15/2)² is a number to be added to "complete the square"
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The quadratic equation x²+15x+25=0
x²+15x+(15/2)²+25-(15/2)²=0
(x+15/2)²+25-225/4
(x+15/2)²+(100-225)/4
(x+15/2)²+(-125/4)
(x+15/2)²-(√125/√4)²
(x+15/2+√125/√4)(x+15/2-√125/√4)
(x+15/2+√125/2)(x-15/2-√125/2)
(x+(15+√125)/2)(x-(15+√125)/2)
Hence (15/2)² is a number to be added to "complete the square"
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Line AB is tangent to circle O at B. Find the length of the radius r for AB = 8 and AO = 11.7. Round to the nearest tenth if necessary. The diagram is not to scale.13.7, 3.7, 8.5, 14.2
Answer:
8.5
Step-by-step explanation:
So the line segment that is tangent to the circle is 8, and AO is 11.7.
When you connect them, they are perpendicular, so you have a right triangle with one unknown leg that we will call X, a leg that is 8, and a hypotenuse that is 11.7.
If you use the Pythagorean Theorem, you will find that the leg is √72.89, which is approximately 8.5.
That leg is the radius.
This might be wrong so check it.
Mr. Maxwell White bought a house at the cost of GHȼ250,000,000.00. He paid 20% of the cost out of his own resources an took a loan for the remaining amount at 2 1/2 % simple interest per annum. Calculate the total amount Mr. Maxwell White paid for the house, if he paid the loan 8 years later.
Answer:GHȼ290,000,000
Step-by-step explanation:
Given the following :
Cost of house = 250,000,000
Amount paid out of his own resources = 20% of house cost
Amount loaned = 250,000,000 - (20% of 250,000,000)
Rate = 2 1/2% = 5/2% = 0.025
Period or time = 8 years
Therefore,
Amount paid out of his own resources :
0.2 × 250,000,000 = 50,000,000
Amount loaned = (250,000,000 - 50,000,000) = 200,000,000 = principal
Simple Interest on loan = (principal × rate × time)
200,000,000 × 0.025 × 8 = 40,000,000
Total amount paid back= (200,000,000 + 40,000,000) = 240,000,000
Total amount paid for the house :
Total loan paid + amount paid from own resource:
240,000,000 + 50,000,000 = 290,000,000
How many meters are in a kilometre
Answer:
3000meter
Step-by-step explanation:
[tex] \frac{300000}{100} = 3000[/tex]
can someone heelp me with this i just dont understand it
Answer:
I CAN!
Step-by-step explanation:
First, where does the line start?
y=1
It looks like it goes up, and then right each one unit. No?
So that would be
Y=1+1
Warning! DO NOT say y=2. That is no good. You probably want to simplify it, but dont. Okay?
Happy to help
ОωО
Quiz 2
Below is how tall (in meters) each of the five players on Deandra's basketball team is.
17
2
1.6
Find the median height.
In the last couple of months, Jack has seen rabbits in his backyard on
12 days and no rabbits on 36 days. What is the approximate probability
that he will see rabbits in his yard tomorrow?
Answer:
12/36 can be simplifed to 1/3 so he has a 1/3's chance of seeing them or 33%
Step-by-step explanation:
:)
Answer:
1/4
Step-by-step explanation:
A trampoline gym charges $6 for 1/2 of an hour. At that rate, what does 1 hour cost?
Answer:
Step-by-step explanation:
12
One hour's cost for the trampoline gym will be $12.
What is ratio?The ratio can be defined as the number that can represent one quantity as a percentage of another. They can be compared only when the two numbers in a ratio have the same unit. Ratios are used to compare two objects.
Given, A trampoline gym charges $6 for 1/2 of an hour.
Since,
For 1/2 hour gym charges = 6$
So from the definition of the ratio
Thus,
For 1-hour gym will charge = 6*2
For 1 hour gym will charge = 12$
therefore, One hour cost for the gym will be $12.
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