24 HOURS * 60 MINUTES = 1440 MINUTES
1,440 MINUTES / 2 (HALF DAY) = 720
ANSWER: THE MINUTE HAND MAKES 720 COMPLETE ROUNDS DURING HALF A DAY.
How can this fact family model help us compare the
numbers shown? You can use the number line to help
you complete each statement.
The sum of 3 and 7 is
10 is
bigger than 3
bigger than 7
10 is
7
Answer:
The sum of 3 and 7 is - 1010 is - bigger than 77 - bigger than 3Step-by-step explanation:
Hope it helps.
Answer:
The sum of 3 and 7 is ( 10 ).10 is ( 7 ) bigger than 3.10 is ( 3 ) bigger than 7.
How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30
find the volume
Answer:
volume of a cylindrical water tank = 70,650cm³
Step-by-step explanation:
volume of cylinder, V = πr²h
where π = 3.14
h = 100cm
r = ?
given is diameter = 30cm
r = d/2 = 30/2 = 15cm
substituting the values in the formula,
V = 3.14 * 15² * 100
= 3.14 * 225 * 100
= 70,650cm³
Answer:
How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm
Volume: 706,500 cm³
Step-by-step explanation:
How much space it would take up:
To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.
The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.
To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
A = π(15 cm)²
A = π(225 cm²)
A ≈ 706.86 cm²
So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.
The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.
Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.
Volume:
To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
First, we need to find the radius by dividing the diameter by 2:
Radius = 30 cm / 2 = 15 cm
Now we can calculate the volume:
V = π(15 cm)²(100 cm)
V = 3.14 * 225 cm² * 100 cm
V = 706,500 cm³
Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.
What is the surface area of the triangular prism???
I really need an answer to this. My math test is tomorrow and I really need to be prepared!
The surface area of the triangular prism is B. 1,008 \(cm^{2}\)
What is Triangular Prism?Triangular Prism is a polyhedron made up of two triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges.
How to determine this
The surface area of the triangular prism = Area of the front Triangle + Area of the triangle + Each sides of the triangle by the length of the triangular prism.
Area of the front and back triangle will be the the same given the same base and height
To find the area of the triangle = 1/2 * Base * Height
Where base = 12 cm
Height = 9 cm
Area = 1/2 * 12 cm * 9 cm
Area = 6 * 9 \(cm^{2}\)
Area of the one triangle = 54 \(cm^{2}\)
So, by multiplying each sides of the triangle by the length
= Base * Length
= 12 cm * 25 cm
= 300\(cm^{2}\)
Height * Length
= 9 cm * 25 cm
= 225 \(cm^{2}\)
Then, Hypotenuse * Length
= 15 cm * 25 cm
= 375 \(cm^{2}\)
Surface area = 54\(cm^{2}\) + 54\(cm^{2}\) * 300\(cm^{2}\) + 225\(cm^{2}\) + 375\(cm^{2}\)
Surface Area = 1,008\(cm^{2}\)
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WILL GIVE BRAINELIST
Brigit's class is collecting cans for recycling. Their goal is to collect 750 cans.
The first month, they collect 459 cans.
The next month, they collect 216 cans.
An expression that models the number of cans remaining to collect is:
A) 750 - (459+216)
B) 750 - (459-216)
C) 750 + (459-216)
D) (459+216) - 750
Answer:
I think it is A
Step-by-step explanation:
can you give brainliest
Answer:
A
Step-by-step explanation:
The goal is 750 and to see how many they still need to collect you have to take away the sum of what they've already collected each month.
WILL MARK BRAINLEAST 100% 20 POINTS
Plz answer Honestly or I'll report your answer but only if it's wrong
-3 + { 1 – 3[20 + 2(-6 – 7)]}
SIMPLIFY ANSWER:
Answer:
16
Step-by-step explanation:
everything simplified is 16
Answer:
16
Step-by-step explanation:
To simplify, we have to start from the innermost parentheses and expand from there!
-3+{1-3[20+2(-6-7)]} -6-7=-13
-3+{1-3[20+2(-13)]} 2*-13=-26
-3+{1-3[20-26]} 20-26=-6
-3+{1-3[-6]} -3*-6=18
-3+{1+18} 1+18=19
-3+19 -3+19=16
16
I really hope this helps!! Have a wonderful day C:
Identify the segment bisector of RS.22RMSOROMORMO SMThe length of RS is
Bisections means the division of something in two equal halves.
Any point that cuts the line in its midpoint can be considered a bisector.
If point M stands in the midpoint of line RS, then it is its bisector and following the definition, it divides it in two equal segments
RM=MS.
> the bisector of RS is M
Now since we know that
RS=RM+MS,
RM=MS
and that MS=22
You can calculate the length of RS
RS=RM+MS=22+22=44
>RS=44
Find the mean, median, mode, and range of these numbers 75,95,90,95,60,95,75,95,90
Plzzzzzz
Answer:
Mean: 85 5/9
Median: 90
Mode: 95
Step-by-step explanation:
~ Part I ~
1. To find the mean, let us take the average of the numbers through the addition of these values divided by the number of numbers:
75 + 95 + 90 + 95 + 60 + 95 + 75 + 95 + 90/9 = 770/9 = 85 5/9 (85.55.....)
~ Part 2 ~
1. Now let us arrange these numbers from least to greatest:
75 , 95 , 90 , 95 , 60 , 95 , 75 , 95 , 90 ⇒ 60,75 , 75 , 90 , 90 , 95, 95, 95,95
3. The median of this set would now be the middle number, which, (in this case) is ⇒ 90
~ Part 3 ~
1. The mode is known to be the number repeated most often, and from the previous question we see the numbers arranged in a benficial manner. Now we can straight away see that the number repeated the most is ⇒ 95
Answer:mean=85 5/9 mode=95 median=90
Step-by-step explanation:
Mean=(75+95+90+95+60+95+75+95+90)➗9
mean=770 ➗ 9
Mean=85 5/9
Mode=95
To get median we first arrange in ascending order of magnitude
60,75,75,90,90,95,95,95,95
The middle number is the median which is 90
PLEASE HELP!!!
The variables y and x have a proportional relationship, and y = 9 when x = 2.
What is the value of y when x = 3?
Enter your answer as a decimal in the box.
When value of x is given as 3 then according to the said proportional relationship y will be 13.15.
How can we explain it ?We are given that y and x have a proportional relationship, and y = 9 when x = 2. This means that there is a constant of proportionality, k, such that y = kx.
We can use the information given to find the value of k:
y = kx
9 = k(2)
k = 9/2
Now that we know the value of k, we can use it to find the value of y when x = 3:
y = kx
y = (9/2) * 3
y = 13.5
So the value of y when x = 3 is 13.5
What are ratios ?A ratio is a way of comparing two or more values or quantities. It is a mathematical expression that shows the relationship between different values, typically by using the symbol ":" to separate the values. For example, if we have three apples and two oranges, we can express the relationship between the apples and oranges as a ratio 3:2. Ratios can also be written as fractions, in this case the ratio 3:2 can be written as 3/2.
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Find the measure of the indicated angle.
99⁰
96⁰
98⁰
92°
L
120°
K
N
M
64
Answer:
? = 92°
Step-by-step explanation:
the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°
Theodore opens a savings account with a deposit of 2500. The savings account earns 3.6% simple interest each year. If Theodore makes no additional deposits or withdrawals, which two statements about his account balance are true ?
after 1 year , the balance of Theodoro's account
After 3 years the balance a
Explanation
Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
\(I=p\cdot r\cdot t\)where I is the interes monye created,P is the starting amount of money and t is the time
then,
Let
after one year
t=1
r=3.6%=0.036
P=2500
Now, replace
\(\begin{gathered} I=p\cdot r\cdot t \\ I=2500\cdot0.036\cdot1 \\ I=90 \end{gathered}\)so, after 1 year he has 90 of interest, so the total is
\(\begin{gathered} for\text{year}1=2500+90=2590 \\ \end{gathered}\)so
after 1 year , the balance of Theodoro's account
Step 2
for year 2
let t= 2
replace
\(\begin{gathered} I=p\cdot r\cdot t \\ I=2500\cdot0.036\cdot2 \\ I=180 \end{gathered}\)so, for year 2, the total is
\(\begin{gathered} \text{for year 2} \\ \text{account balance=2500+180} \\ \text{account balance=2680} \end{gathered}\)and so on
Now, for year 3
\(\begin{gathered} \text{for year 3} \\ let\text{ t=3} \\ I=p\cdot r\cdot t \\ I=2500\cdot0.036\cdot3 \\ I=270 \end{gathered}\)so, for year 3
\(\text{account balance=2500+270=2770}\)Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write with fractional exponents. (Do not use parentheses.)
Answer:
4\(y^{\frac{3}{2} }\)
Step-by-step explanation:
using the rule of exponents/ radicals
\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)
then
4 \(\sqrt{y^{3} }\)
= 4\(y^{\frac{3}{2} }\)
Can someone please help me
Step-by-step explanation:
For y=g(x) and y = f(x), we can set f(x) = g(x) and go from there.
\(4(2)^{-x} +3 = 8-2^{x}\\4 (2)^{-x} - 5 = -2^{x}\\\)
Here, we simply subtracted 8 from both sides
Next, we can substitute u in for 2^x to get
4 * (1/u) - 5 = -u
4/u - 5 = -u
Multiply both sides by u
4 - 5u = -u²
Add u² to both sides
u² -5u +4 = 0
Factor
(u-4)(u-1) = 0
We now know that our solutions to this are u = 4 and u = 1, so we must figure out when 2^x = 4 and 2^x = 1. We can then figure out that 2² = 4 and 2^0 = 1, so our answers are 2 and 0 for the second question.
For the first, we can simply plug 2 and 0 into f(x) to get (2,4) and (2,7) as our answers
Spanning trees assignments
Spanning trees assignments are a type of network problem that requires finding the minimum path or tree that spans all nodes or vertices in the network.
This is useful for optimizing the design and efficiency of networks, such as computer networks, transportation systems, and power grids.
A spanning tree is a subset of a graph that connects all vertices without any cycles, making it a tree.
Finding the minimum spanning tree involves selecting the minimum weight edge to add to the tree, while ensuring that there are no cycles.
This can be done using algorithms such as Kruskal's algorithm or Prim's algorithm.
Spanning trees assignments are important in network design and optimization and have applications in various fields such as computer science, electrical engineering, and transportation planning.
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A couple plans to purchase a house. The bank requires a 20% down payment on the $240,000 house. The couple will finance the rest of the cost with a fixed- rate mortgage at 8.5% annual interest with monthly payments over 30 years.
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
(b) Find the amount of the mortgage.
(c) Find the monthly payment.
(A) The required down payment is $48,000.
(B) The amount of the mortgage is $192,000.
(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
(a) To find the required down payment, we need to calculate 20% of the house price.
Down payment = 20% of $240,000
Down payment = 0.2 * $240,000
Down payment = $48,000
The required down payment is $48,000.
(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.
Mortgage amount = Total cost of the house - Down payment
Mortgage amount = $240,000 - $48,000
Mortgage amount = $192,000
The amount of the mortgage is $192,000.
(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where:
P = Principal amount (mortgage amount)
r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)
n = Total number of monthly payments (30 years multiplied by 12 months)
Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
Using this formula and performing the calculation will give you the monthly payment amount.
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5 - (-3 x 7 ) +8 ÷ 4
Answer:
21x+7
Step-by-step explanation:
hope this helps ! c:
The answer to 5 - (-3 x 7 ) +8 ÷ 4 is 21x+7
Hope it helped!
Explain how you use a net to find the surface area of a
prism?
Answer:
Lay the net out with the dimensions then multiply for each shape and add all of the areas to get the total surface area of your prism.
Step-by-step explanation:
this is how you work it out with the net
Answer:
You must lay out the net, find the area of each shape and multiply, and then add each dimension.
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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7 5/7 as a decimal please help
Answer:
the answer was 7.71
Step-by-step explanation:
hope this helps
A fraction is usually split into two parts: the first part is the number on top, called the numerator; and the second part is the number on the bottom, called the denominator. These are both separated by a line called the “divisor line”. We can use the division method help to solve this question: to get a decimal, simply divide the numerator 54 by the denominator 7 (which you can enter in any calculator):
54 (numerator) ÷ 7 (denominator) = 7.71
And finally, you get 7.71 as your answer when you convert 7 5/7 (or 54/7) to a decimal.
Answer:
7.71
Step-by-step explanation:
A state university is interested in where its students come from. They survey 300 of its students to find out if they are in-state, out-of-state, or foreign students. Match the vocabulary word with its corresponding example.
In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.
To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.
Here are the vocabulary words and their corresponding examples:
Vocabulary Word: In-state
Example: A student who is a resident of the same state where the university is located.
They pay lower tuition fees compared to out-of-state or foreign students.
Vocabulary Word: Out-of-state
Example: A student who is not a resident of the state where the university is located.
They typically pay higher tuition fees compared to in-state students.
Vocabulary Word: Foreign
Example: A student who is from a country other than the country where the university is located.
They are international students who may have different visa requirements and tuition fees.
To match these vocabulary words with their corresponding examples:
In-state: A student from the same state as the university, paying lower tuition fees.
Out-of-state: A student from a different state than the university, paying higher tuition fees.
Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.
By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.
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Evaluate.
(a – 2b)^3 when a= -3 and b = -1/2 Enter your answer in the box
Answer:
- 8
Step-by-step explanation:
Substitute the values for a and b into the expression
(- 3 - 2(- \(\frac{1}{2}\) ) )³
= (- 3 + 1)³
= (- 2)³
= (- 2) × (- 2) × (- 2)
= 4 × - 2
= - 8
simplify. ((x/4)+(x/3))/(x/2)
Answer:
x/6
You're welcome! :)
Answer : 7/6
explanation is long
Need answers please help
Answer
Yes, zero is contained in the interval
I'll give you 25 points! I just need help!
Find the surface area of the composite figure.
2 cm
5 cm
4 cm
4 cm
3 cm
3 cm
5 cm
5 cm
If you'd like,
SA = [ ? ] cm2
you can use a
calculator.
Answer:
add sum of all the angle given
find the missing side. round to the nearest tenth
The required angle is 24.5°.
Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,
To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.
The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.
In this case, the perpendicular side is 16 and the base is 35.
Let's denote the acute angle as θ.
Using the tangent function, we can set up the equation:
tan(θ) = perpendicular side / base
tan(θ) = 16 / 35
To find the value of θ, we can take the inverse tangent of both sides:
θ = tan⁻¹(16 / 35)
θ = 24.5°
Hence the required angle is 24.5°.
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You are testing the claim that the mean GPA of night students is different from the mea GPA of day students. You sample 20 night students, and the sample mean GPA is 2.84 with a standard mean GPA is 2.55 with a standard deviation of 0.45. Test the claim using a 1% level of significance. Assume the population standard deviations are unequal and that GPAs are normally distributed. Give answer to at least 4 decimal places. What are the correct hypotheses
Answer:
As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.
Step-by-step explanation:
Here n= 20
Sample mean GPA = x`= 2.84
Standard mean GPA = u= 2.55
Standard deviation = s= 0.45.
Level of Significance.= ∝ = 0.01
The hypothesis are formulated as
H0: u1=u2 i.e the GPA of night students is same as the mean GPA of day students
against the claim
Ha: u1≠u2
i.e the GPA of night students is different from the mea GPA of day students
For two tailed test the critical value is z ≥ z∝/2= ± 2.58
The test statistic
Z= x`-u/s/√n
z= 2.84-2.55/0.45/√20
z= 0.1441
As the calculated value of z does not lie in the critical region the null hypothesis is accepted that the GPA mean of the night students is the same as the GPA mean of the day students.
Light travels about 186,000m/s. The function d(t)=186,000t gives the distance d(t), in miles, that light travels in t seconds. How far does light travel in 18 s?
So, light travels 3,348,000 miles in 18 seconds.
How light travels from the given path?The function d(t) = 186,000t gives the distance d(t) in miles that light travels in t seconds. To find out how far light travels in 18 seconds, simply substitute 18 for t in the component and optimise:
\(186,000 * 18 = 3,348,000 miles = d(18).\)
In a vacuum, light moves in a straight line at a constant speed. Light travels at a slower rate in other materials, such as air or glass, and can also be bent or refracted. Light is a type of electromagnetic radiation, or energy that travels through space. The speed of light in a vacuum is considered to be one of the fundamental constants of nature and is denoted by the symbol "c". It is the fastest speed that anything can travel and is a crucial concept in physics and astronomy.
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28,507.72 nearest hundredth
An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the volume of each drinking cup? Drinking Cup Cone Picture
7. The ratio of strawberries to grapes in the fruit salad is 3:9. The ratios of strawberries to honeydew is 6:14. If there 36 grapes, how peony strawberries. Match the fractions that are equivalent to each other
Answer:
12 strawberries
Step-by-step explanation:
Let
\(S = Strawberry\)
\(G = Grape\)
\(H = honeydew\)
Given
\(S : G = 3 : 9\)
S : H = 6 : 14
Required
Solve for S when G = 36
To do this, we make use of the first ratio
\(S : G = 3 : 9\)
Substitute 36 for G
\(S : 36 = 3 : 9\)
Convert ratio to fractions
\(\frac{S}{36} = \frac{3}{9}\)
\(\frac{S}{36} = \frac{1}{3}\)
Cross Multiply
\(S * 3 = 36 * 1\)
\(3S = 36\)
Divide through by 3
\(\frac{3S}{3} = \frac{36}{3}\)
\(S = \frac{36}{3}\)
\(S = 12\)
The (b) part of the question can not be solved with the given details.
However, some equivalent fractions are:
\(\frac{1}{2} = \frac{2}{4}\) ---- 0.5
\(\frac{5}{15} = \frac{10}{30}\) --- 0.33
\(\frac{4}{7} = \frac{8}{14}\) --- 0.57
To get the equivalent fractions, you have to convert the fractions to decimal and then make comparison.
Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?
(x - 9)2 + (+ 4)2 = 25
(x + 4)2 + (- 9)2 = 25
(x - 9)2 + ( + 4)2 = 100
(x + 4)2 + (- 9)2 = 100
PLZ HELP!
The equation of circle with center at P ( -4 , 9 ) and diameter 10 units is given by ( x + 4 )² + ( y - 9 )² = 25
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of circle be represented as A
Now , the value of A is
Let the center of the circle be P ( -4 , 9 )
Let the diameter of the circle be d = 10 units
So , the radius of the circle r = d/2 = 5 units
And , standard form of a circle is
( x - h )² + ( y - k )² = r²,
So , the equation of circle is
( x + 4 )² + ( y - 9 )² = 25
Hence , the equation of circle is ( x + 4 )² + ( y - 9 )² = 25
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