The volume of each marble is 0.05 liter
How to determine the volume?The volume function is given as:
w = 32 - 0.05n
The variable n represents the number of marbles.
This means that 0.05n represents the volume of n marbles and 32 represents the total volume of the glass tank
To get the volume of each marble, we divide 0.05n by n
i.e.
Volume = 0.05n/n = 0.05
Hence, the volume of each marble is 0.05 liter
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Write a recursive formula for a_na n , the n^{\text{th}}n th term of the sequence 50, -10, 2, ...50,−10,2,....
The recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50
How to determine the recursive sequence?The sequence is given as:
50,−10,2,....
The above sequence is a geometric sequence, and it has the following parameters:
First term, a = 50Common ratio, r = -1/5 i.e. -10/50 = 5This means that the product of the current term and -1/5 gives the next term.
i.e.
[tex]a_n = -\frac{a_{n-1} }{5}[/tex]
Hence, the recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50
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The box-and-whisker plot represents a data set. Which statements are never true for this data set?
The statement that can never be true is the data set contains a value of 3.
What is box plot?A box plot is used to study the distribution of a dataset. The box plot consists of two lines and a box. The two lines are known as whiskers. The end of the first line represents the minimum number and the end of the second line represents the maximum number.
minimum number = 8
maximum number = 22
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Solve the following equation for x.
(3/5)x - 15 = (6/5)x + 12
5
-5
-45
45
Answer:
x = -45
Step-by-step explanation:
(3/5)x - 15 = (6/5)x + 12
(6/5)x - (3/5)x = -15 - 12
(3/5)x = -27
0.6x = -27
x = (-27)/0.6
x = -45
Dump Truck #1 is traveling east at 50 mph and is 20 miles ahead of Dump Truck #2, which is following behind it at a speed of 70 mph. How many hours will it be before they are side-by- side?
Answer:
Step-by-step explanation:
Formulas
d1 = 20 + 50*t This is dump truck #1
d2 = 70*t This is dump truck #2
d1 = d2 This is given in the problem
Solution
if d1 = d2 then you get 20+50t = 70t as your working equation.
20 + 50t = 70t Subtract 50t from both sides
20 +50t-50t = 70t-50t Combine
20 = 20t Divide both sides by 20
20/20 = 20t/20
1 = t
Answer
after 1 hour Dump Truck 2 will catch dump truck 1
can you submit a picture of the question
Multiply.
(3x+2)(2x−5)
6x^2+4x−3
6x^2−10
6x^2−11x−10
6x^2−13x−3
Answer: Heyaa! ^^
Your Answer when multiplied is.. 6x²−11x−10
Step-by-step explanation:
6x^2−11x−10Expand the polynomial using the FOIL method.- FOIL EXPLANATION -
A handy way to remember how to multiply two binomials.It stands for "First, Outer, Inner, Last"
- It is the sum of: -· multiplying the First terms,
· multiplying the Outer terms,
· multiplying the Inner terms, and
· multiplying the Last terms
Hopefully this helps you! ~
7/8 - 6/7. what is the answer.???
Answer:
0.0178 is the answer
1 1/5 of 3 kg please help
Answer:
1kg= 1000 g
3 kg=3000 g
so,
3000×11/5=6600 g=6kg 600 g
Answer:
6.6kg
Step-by-step explanation:
11/5 of 3kg mathematically means
11/5 × 3
= 33/5= 6.6kg
Show ALL work and calculations. Max needs to choose an outfit. He has three sweaters: red, blue and pink; two pants: yellow and black; and two kinds of shoes: dress shoes and running shoes.Draw a probability tree diagram to show all his combinations to choose from.
Answer:
- Red
- Yellow
- Dress
- Running
- Black
- Dress
- Running
- Blue
- Yellow
- Dress
- Running
- Black
- Dress
- Running
- Pink
- Yellow
- Dress
- Running
- Black
- Dress
- Running
A three dimensional object is created by rotating a circle about one of its diameters.
What is the shape of the resulting object?
O A Cone
OB Disc
OC. Sphere
OD. Cylinder
Answer:
C. Sphere
Step-by-step explanation:
If you rotate a circle about one of its diameters, it produces the three dimensional shape of a sphere.
See attached diagram.
Abcd is a trapezoid. = 1 cm and = 5 cm, and the area = 7.5 cm2. what is the altitude of the trapezoid? 1.5 cm 2.5 cm 3 cm 2 cm
Answer:
2.5cm
Step-by-step explanation:
hope it helps. if there's any question feel free to ask me I be ready to respond appropriately bye.
The altitude of the trapezoid is approximately 2.5 cm.
Here, we have,
To find the altitude of the trapezoid, we can use the formula for the area of a trapezoid:
Area = (1/2) * (sum of the bases) * altitude
Given that
one base (a) is 1 cm, the other base (b) is 5 cm, and the area is 7.5 cm², we can plug these values into the formula and solve for the altitude:
7.5 cm² = (1/2) * (1 cm + 5 cm) * altitude
Simplifying:
7.5 cm² = (1/2) * 6 cm * altitude
7.5 cm² = 3 cm * altitude
Now, we can isolate the altitude by dividing both sides of the equation by 3 cm:
altitude = 7.5 cm² / 3 cm
altitude ≈ 2.5 cm
Therefore, the altitude of the trapezoid is approximately 2.5 cm.
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Solve the following equation for x.
(5/6)x + 10 = 30
x = 24
x = 20
x = 20/6
x = 25/6
Answer:
x=24
Step-by-step explanation:
6×(5/6)x +6(10)=6(30)
5x +60=180
5x +60-60=180 - 60
5x=180 -60
5x=120
5x/5 =120/5
x=24
tense chart on A4 sheet
Answer:
hre is your tense chart
Step-by-step explanation:
mark me brainliest
Solve the following quadratic function
by utilizing the square root method.
y = 64-16x²
X = = + [?]
Please help me
Answer:
x = ±2
Step-by-step explanation:
Given :
y = 64 - 16x²
=========================================================
Add 16x² to each side (take y = 0) :
⇒ 0 + 16x² = 64 - 16x² + 16x²
⇒ 16x² = 64
=========================================================
Divide both sides by 16 :
⇒ 1/16 × 16x² = 1/16 × 64
⇒ x² = 4
=========================================================
Taking square root on both sides :
⇒ √(x²) = √4
⇒ x = ±2
Estimate the product of 2.28 × 5.59 using compatible numbers.
The quotient of 2.28 × 5.59 using compatible numbers is approximately 12.75
What are products?Quotients are result derived from the multiplication of two rational or integers. Given the expression
2.28 × 5.59
Convert to fraction
2.28 × 5.59 = 228/100 ÷ 559/100
2.28 × 5.59= 127452/10000
2.28 × 5.59= 12.75
Hence the quotient of 2.28 × 5.59 using compatible numbers is approximately 12.75
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Quadrilateral abcd has vertices a(1,0) b(5,0) c (7,2) d(3,2). use slope to prove that abcd is a parallelogram.
[tex]m_{\overline{AB}}=\frac{0-0}{1-5}=0\\m_{\overline{CD}}=\frac{2-2}{3-7}=0\\\\\therefore \overline{AB} \parallel \overline{CD} \text{ because } m_{\overline{AB}}=m_{\overline{CD}}[/tex]
[tex]m_{\overline{BC}}=\frac{2-0}{7-5}=1\\m_{\overline{AD}}=\frac{2-0}{3-1}=1\\\\\therefore \overline{BC} \parallel \overline{AD} \text{ because } m_{\overline{BC}}=m_{\overline{AD}}[/tex]
As ABCD has two pairs of opposite parallel sides, ABCD is a parallelogram.
Find two integers whose sum is -5 andproduct is 4
Answer:
-1 and -4
Step-by-step explanation:
-1 + -4 = -5
-1 times -4 = 4
give brainiest please!
hope this helps ;)
helpppp please and quick
Answer:
The way is in the steps.
Step-by-step explanation:
y = sin(x) has a period of 2π and amplitude of 1.
a) y = a * sin b(x - c) - d
y = 7/2 * sin 2/3(x - π/4) - 2
[tex]a=\frac{7}{2}[/tex][tex]b=\frac{2}{3}[/tex][tex]c = \frac{\pi }{4}[/tex][tex]d=-2[/tex]b) amplitude is affected by a = 7/2 , so the amplitude is 7/2.
The range is (-5.5 , 1.5) because looking at the graph, but also by making a table to help find the range.
c) Period = 2π/b
Period = 2π/2/3 = 3π
d) Horizontal Shift left/right is dependent on c.
c = π/4 , so Horizontal Shift to the Right by π/4
Vertical Shift up/down is dependent on d.
d = -2 , so Vertical down shift by 2.
Vertical angles are equal in measure.
Osometimes
Onever
O always
The vertical angles are always equal in measure.
What is Vertical Angle?Vertical angles are angles opposite each other where two lines cross.
Here, As given in definition
All the vertical angles are always equal with each other.
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Seleccione el número que se puede
describir mejor como enteros.
the second one
Step-by-step explanation:
Find all the missing angles and side lengths
use pythagoras theorem to find the missing side, then find the an angle using the sine rule. at this point you will only have one angle left. using the law that sum of all angles of a triangle add up to 180⁰, you can do 180⁰- ( [the angle you found by the sine rule] + 90⁰) hope this wasn't too complicated :)
i did (b) as an example attatched (2 photos bc it couldn't fit it all)
The nature of the roots of 3x^2+4x-5=0
Answer:
Imaginary Roots
Step-by-step explanation:
The quadratic equation ax^2 + bx + c = 0 is written in standard form, and the formula is
x = [-b ± √(b^2 - 4ac)]/ 2a
Given:
3x2 - 4x + 5 = 0'
Here a = 3, b = -4 and c = 5
Substituting:
x = [-(-4) ± √((-4)2 - 4 × 3 × 5)]/ (2 × 3)
Further Simplification:
x = [4 ± √(16 - 60)]/6 ----> Discriminant: b^2 - 4ac = -44 < 0.
x = [4 ± √-44]/ 6
Now, we get:
x = [4 ± 2√-11]/ 6
x = [2 ± i √11]/ 3
Therefore, The best description of the roots of the equation 3x2 - 4x + 5 = 0 is imaginary roots.
Emergency answer now I will make it brainliest!!!!
are there any answer choices?????
Step-by-step explanation:
The volumes of two similar solids are 512 cm3 and 2,197 cm3. If the smaller solid has a surface area of 960 cm2, find the surface area of the larger solid.
Part I: Find the similarity ratio by taking the cube root of each volume. Show your work. (2 points)
Part II: Use your answer from Part I to find the ratio of the surface areas. Show your work. (2 points)
Part III: Set up a proportion and solve to find the surface area of the larger solid. (3 points)
The similarity ratio by taking the cube root of each volume is 8/13, ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
Part 1:
Volume of larger solid = (512) cubic cm
Volume of small solid = 2197 cubic cm
Ratio of the volumes = 512/2197
Taking cube root:
Similarity ratio = 8/13
Part 2:
Similarity ratio by taking the cube root of each volume = 8/13
Taking the square of the above ratio:
= 64/169
Part 3:
64/169 = 960/SA(larger)
SA(larger) = 2535 square cm
Thus, the similarity ratio by taking the cube root of each volume is 8/13, ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.
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How large the size of a sample needs to be if we want to a 90% confidence level with a margin of error no more than 1.5%
Answer:
A 90 percent level can be obtained with a smaller sample, which usually translates into a less expensive survey. To obtain a 3 percent margin of error at a 90 percent level of confidence requires a sample size of about 750. For a 95 percent level of confidence, the sample size would be about 1,000.
Which of the following choices lists the values of the side lengths of a triangle with 45-45-90 degree angles and a leg = 5?
5, 5, 5
5, 1, 5
1, 5, 5
1, 1, 5
A triangle is a three-edged polygon with three vertices. The length of the sides of the triangle is 5, 5, and 5√2.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
Since the two angles are equal, therefore, the length of the two legs of the isosceles right triangle will be equal and will be less than the hypothenuse.
Hence, the length of the sides of the triangle is 5, 5, and 5√2.
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1. Is the line that passes through the points A(0,1) and B(2,5) parallel to the line that passes through the points C(0,7) and D(4,15)? To determine whether these two distinct lines are parallel, you simply need to calculate their slopes. What is the slope of AB←→?
I know for a fact that this one is 2.
2. Is the line that passes through the points A(0,1) and B(2,5) parallel to the line that passes through the points C(0,7) and D(4,15)? To determine whether these two distinct lines are parallel, you simply need to calculate their slopes.
What is the slope of CD←→? Say your response as a fraction, such as 3/14.
^This one, I am not entirely sure what the slope would be. If someone could help me out, I would be more than happy to reward the person with the correct answer with 5 stars and Brainliest! Tysm, need this asap!
You are correct that the slope of line AB is 2. To find the slope of the line CD, we can apply the slope formula again (like I assume you did with AB).
[tex]m=\frac{15-7}{4-0}=\boxed{2}[/tex]
Therefore, since the slopes of lines AB and CD are equal, they are parallel
what’s a problem with no solution
When a problem has no solution you'll end up with a statement that's false. For example: 0=1 This is false because we know zero can't equal one. Therefore we can conclude that the problem has no solution.
Answer: A problem with no solution is a problem with no applicable answer or the answer is not a real number or x ∉ R
Isabel says that 0.02 can be expressed as 20%. Is she correct? Explain why or why not.
[tex]\text{She is not correct because}\\\\20\% = \dfrac{20}{100} = \dfrac 2{10} = 0.2 \neq 0.02[/tex]
Huw has a maths test. the second question is:
here is huw's working. 9 days is incorrect. work out the correct answer.
Huw's answer of 9 days is incorrect because more guests would finish the food in less time so the number of days for 30 guests is less than 6 days.
The number of days that the food can last 30 guests is 4 days.
How long will Seaview Hotel's food feed 30 guests?More guests would eat the food faster which means that it would be finished in less days than the 6 days used by 20 guests.
To find the days the food would last 30 guests, use the inverse proportion formula:
= (Number of guests x Number of days food lasts for guests) / New number of guests
= (20 x 6) / 30
= 4 days
Full question is:
The only food provided for guests at Seaview Hotel is breakfast. The hotel has enough food to make breakfast for 20 guests for 6 days. How long would the food last 30 guests? You may assume each guest eats the same amount of food for breakfast.
Without working out the correct answer, explain why Huw’s answer of 9 days is incorrect.
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