Answer: about 20 miles per hour
Step-by-step explanation:
Answer:
he would go about 20 miles per hour
Step-by-step explanation:
Suppose that one state’s license plates consist of 1 digit followed by 4 letters followed by 2 digits. How many such plates can the state issue?
Answer:
The state can issue 456,976,000 license plates.
Step-by-step explanation:
For digits, it is assumed that we can use 0-9. Thus, there are 10 options for each slot with a digit.
For letters, it is assumed that we can use the 26 letters of the alphabet (i.e. A through Z). Thus, there are 26 options for each slot with a letter.
For this particular problem, the slot method can be used. Assuming that repetition of letters/digits is allowed:
\(\frac{10}\) \(\frac{26}\) \(\frac{26}\) \(\frac{26}\) \(\frac{26}\) \(\frac{10}\) \(\frac{10}\)
= 10*26*26*26*26*10*10
=456,976,000.
Therefore, the state can issue 456,976,000 license plates.
The radius of a circle is 7 miles. What is the circle's area?
r=7 mi
Use 3.14 for N.
square miles
Pamela prepared 16 kilograms of dough after working 2 hours. How many hours did Pamela
work if she prepared 72 kilograms of dough? Solve using unit rates.
hours
Answer:
Pamela worked 9 hours if she prepared 72 kilograms of dough.
Step-by-step explanation:
First we divide 72 by 16.
72 ÷ 16 = 4.5
Next we multiply 4.5 by 2.
4.5 * 2 = 9
So, the answer is 9 hours.
Hope this helps! :)
Confusing
Kerrin is making an input-output table for the rule "add 5." What is the output value for an input value of 5?
Options:
A: 0
B :5
C: 10
D: 25
The calculated output value for an input value of 5 is (c) 10
What is the output value for an input value of 5?From the question, we have the following parameters that can be used in our computation:
Kerrin is making an input-output table for the rule "add 5."
This means that
Output = input + 5
In this case, we have
input = 5
substitute the known values in the above equation, so, we have the following representation
Output = 5 + 5
Evaluate
Output =10
Hence, the output is 10
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Calculate the lateral surface area of the rectangular prism:
Problem-work-interest-total
Rita needs to take out a loan for a new
car. Her loan is for $25,000. The interest
rate on the loan is 6%, and is
compounded yearly. She plans to pay off
the loan in 5 years. What will she owe
after she factors in interest?
The amount that she owes after she factors in interest will be $33,455.64.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
Rita necessities to apply for a line of credit for another vehicle. Her advance is $25,000. The financing cost on the advance is 6% and is accumulated yearly. She intends to take care of the advance in 5 years.
Then the amount is given as,
A = $25,000 x (1 + 0.06)⁵
A = $25,000 x (1.06)⁵
A = $25,000 x 1.3382
A = $33,455.64
The amount that she owes after she factors in interest will be $33,455.64.
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the formula for the area a of a circle of radius r is
In one part of a rainforest 3/5 of the frogs are poisonous. what fraction of the frogs are not poisonous?
Then 1 - 3/5 = 2/5. This means that 2/5 of the frogs in that particular part of the rainforest are not poisonous. This fraction can also be expressed as 40/100 or 0.4 in decimal form.
In the given scenario, we know that 3/5 of the frogs in a particular part of the rainforest are poisonous. This means that the remaining fraction of the frogs are not poisonous.
To find this fraction, we need to subtract 3/5 from 1 (since the sum of the fractions of poisonous and non-poisonous frogs is equal to 1).
It's important to note that just because a frog is not poisonous, it doesn't mean it's safe to touch or handle them. It's always best to admire these beautiful creatures from a safe distance and leave them alone in their natural habitat.
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The annual interest on a $9000 investment exceeds the interest earned on a $6000 investment by $135. The $9000 is invested at a 0.5% higher rate of interest than the $6000. What is the interest rate of each investment?
The interest rate of $9000 and $6000 investment are 3.5% and 3% respectively.
let's assume the interest rates X and Y on $9,000 and $6,000 investments.
The $9000 is invested at an interest rate that is 0.5% higher than the $6000.
Therefore,
9000(X) = 6000(Y) + 135
X = Y + 0.005
In canonical form:
9000X - 6000Y = 135
X - Y = 0.005
or X = 0.005 + Y
Then,
9000( 0.005 + Y) - 6000Y = 135
Then Y = 0.3 , therefore X = 0.3
So, X = 3.5% (the rate on $9,000 investment) and;
Y = 3% (the rate on $6,000 investment).
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-4 is greater than of equal to x - 11
Using the inequality rule we know that 11 is greater than -11, (11 > -11).
What is an Inequality Equation?Mathematical expressions with inequalities are those in which the two sides are not equal.
Contrary to equations, we compare two values in inequality.
Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Two expressions in inequality aren't always equal, which is denoted by the symbols >, <, ≤, or ≥.
So, let's say the inequality equation looks like this: A
Right now, A is valued at
Let p be used to representing the initial number.
P equals 11, so
Let q be used to representing the second number.
Q has a value of -11.
-11 and 11 are both numbers that are greater than zero.
Then, 11 > -11 ... (1)
A has a value of 11 > -11.
Therefore, using the inequality rule we know that 11 is greater than -11, (11 > -11).
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Correct question:
Is 11 greater than, equal to, or less than -11?
the speed of a stream is 4 mph. A boat travels 6 miles upstream in the same time it takes to travel 14 miles downstream. what is the speed of the boat in still water?
The speed of the boat in still water is 10 mph.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the speed of a stream as 4 mph. A boat travels 6 miles upstream in the same time it takes to travel 14 miles downstream.
Assume the speed of the boat in still water be [x] mph.
We know that -
time [t] = distance[x]/speed[s]
Then, we can write -
6/(x - 4) = 14/(x + 4)
6(x + 4) = 14(x - 4)
6x + 24 = 14x - 56
56 + 24 = 8x
80 = 8x
x = 10 mph
Therefore, the speed of the boat in still water is 10 mph.
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The walkway shows the dimensions of one paver stone used in the design.
What is the area of one paver stone?
6.5 in.
5.5 in.
The Equation For calculating the paver area is
Length(m) x width(m) = area(m²).
How to calculate Paver area?Concrete, natural stone, clay brick, or even porcelain can be used to make pavers. They are typically little fragments of varying sizes. Homeowners can choose from a variety of hues, patterns, and textures.
Divide your space into squares or rectangles and multiply the length by the width to find the square metres of paved surface. The total square metres should be included. There are about 38 pavers per square metre, although this varies depending on how many cuts are made and what laying pattern is used. Additionally, you must account for waste.
The area to be paved and the paver selected will determine how many pavers are required.
Determine the area that will be paved in square metres.
Equation : Length(m) x width(m) = area(m²).
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What is 5/3.5 as an improper fraction
Answer:
either \(\frac{10}{7}\) or 1 \(\frac{1.5}{3.5}\)
Step-by-step explanation:
Answer: 1.5
3. 5
Step-by-step explanation:
What is the square root of -1 ?
Answer:
i
Step-by-step explanation:
HELPPP ASAPPPP PLEASEEE
Answer:
with the years labeled on the horizontal axis and the number of hours labeled on the vertical axis. The graph shows that the number of hours spent watching TV declined steadily over the 5-year period, starting at around 1750 hours in Year 1 and falling to around 1300 hours in Year 5. The graph also shows a clear, downward-sloping trend from Year 1 to Year 5.
Step-by-step explanation:
Pls answer fast Y=Mx+b for x And Y=Mx+b for m Shoe steps
Answer:
1. x= y/m - b/m
2. m= y/x - b/x
Step-by-step explanation:
hope this helps.
What is the amplitude ? How do I find it? do I add 7.7 to (-6.7) then divide? Thank you in advance
Answer:
7.2
Step-by-step explanation:
The amplitude is half the difference between the maximum and the minimum.
A = (7.7 − (-6.7)) / 2
A = 7.2
Pleaseeeee helppppp meeeeee
What is the price per pound of the beans ? Explain how you know that your answer is reasonable.
Answer:
we need numbers please
Answer:
$1.76
Step-by-step explanation:
:)
A local dry-cleaning company bought new equipment and its estimated useful life is 4 years. Using the straight-line depreciation method, what is the rate of depreciation each year?
Answer:
$2,500 or 25%
Step-by-step explanation:
Let's use the same example:
Cost of Equipment = $10,000
Useful Life = 4 years
Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100
Annual Depreciation = Cost of Equipment / Useful Life
Annual Depreciation = $10,000 / 4 years
Annual Depreciation = $2,500
Depreciation Rate = ($2,500 / $10,000) * 100
Depreciation Rate = 0.25 * 100
Depreciation Rate = 25%
P cubed equals 27.
How should I solve P??
Answer:
P = 3
Step-by-step explanation:
\( {p}^{3} = 27\)
\(p = \sqrt[3]{27} = 3\)
Answer:
P = 3
Step-by-step explanation:
Write down the equation:
p^3 = 27
Then divide both sides by cubed:
p = 3
Suppose you select 4 skittles at random from the bowl. What is the proba- bility exactly 1 of those skittles is green
Answer:
1/4
Step-by-step explanation:
4 skittles and one being green
Answer:
4/5
Step-by-step explanation:
According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.
Suppose that Prolog facts are used to define the pred- icates mother(M, Y) and father(F, X), which represent that M is the mother of Y and F is the father of X, re- spectively. Give a Prolog rule to define the predicate grandfather(X, Y), which represents that X is the grand- father of Y. [Hint: You can write a disjunction in Prolog either by using a semicolon to separate predicates or by putting these predicates on separate lines.]
Answer and Explanation:
The Prolog rule expresses that logical implication (:-) describes the relationship between facts.
Prolog expressions are containing truth-functional symbols, which have the same intervention as in predicate calculus.
For example:
English Predicate calculus prolog
and ^ ,
or v ;
By using information, given in the question,
We can make prolog:
Grandfather(X, Y) :-mother(M,Y), father(X,M); father (F, Y), father(X,F)
Prolog (:- ) means define,
Prolog (,) represents a conjunction
And
Prolog (;) represent a disjunction
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
12 yd
6 yd
8 yd
16 yd
4 yd
is it true that two pairs of adjacent sides of a kite are equal
Yes , it is true that two pairs of adjacent sides of a kite are equal .
A kite is a quadrilateral with two pairs of equal adjacent sides. The angles between adjacent pairs of sides are equal. The kite shape is a rectangle with two pairs of adjacent sides of equal length. The side pairs of the kite are not parallel, but the diagonal pairs are equal.If two sides share a common angle, then they are called adjacent sides.A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.
Hence , the given statement is true .
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Circle A has a circumference of 9 pi. Circle B has a radius of 5 cm.
Which circle has the larger circumference?
About how many centimeters larger is it?
Circle B is π centimeters larger in circumference than Circle A.
Circle A has a circumference of 9π, which means its circumference is 9 times the value of π. We can calculate the radius of Circle A by using the formula for the circumference of a circle:
Circumference of Circle = 2πr
Given that the circumference of Circle A is 9π, we can set up the equation:
9π = 2πr
Simplifying the equation, we find:
r = 9/2 = 4.5
So, Circle A has a radius of 4.5 units.
On the other hand, Circle B has a radius of 5 cm.
To determine which circle has the larger circumference, we compare the values of their circumferences. The circumference of Circle A is 9π, while the circumference of Circle B can be calculated using the formula:
Circumference of Circle = 2πr
Circumference of Circle B = 2π(5) = 10π
Comparing the two circumferences, we can see that Circle B has a larger circumference than Circle A.
To find out how many centimeters larger it is, we can subtract the circumference of Circle A from the circumference of Circle B:
10π - 9π = π
Circle B is π centimeters larger in circumference than Circle A.
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Joshua borrowed $2,200 for one year and paid $132 in interest. The bank charged him a service charge of $21. What is the finance charge on this loan?
Joshua borrowed $2,200 for one year and paid $132 in interest. The bank charged him a service charge of $21. The finance charge on this loan is 6.9%.
What is APR?Suppose there is an initial amount as P.
The interest, or say charge on it is applied annually as 'C' amount.
Taking how much percent of P is C, we get:
\(APR = \dfrac{C}{P} \times 100\)
Given;
Principal =$2,200
interest = $132
Service charge = $21.
To find finance charge we use
Finance charge (FC) = interest + service charge(SC)
= $132 + $21
= $153
Therefore
APR = Finance charge / Principal
= $153 / $2200
= 0.069 or 6.9%
Therefore, The finance charge on this loan is 6.9%.
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A quiz had 20 questions. Andre scored 16 of them correctly. What was
Andre's percent score? *
Answer:
80%
Step-by-step explanation:
16 divided by 20
What is 0.09% written as a decimal?
A. 0.9
B. 0.009
C. 0.0009
D. 0.09
Answer:
C. 0.0009
Step-by-step explanation:
0.09/100
= 0.0009
Answer:A
Step-by-step explanation:0.09=0.9
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Step-by-step explanation:
if you take one bowl of noodle then you add it in your rectum use spicy to add extra to ensure extra crispy taste then run around only 5 times around the beach
HELP WHAT DOES THIS EVEN MEAN
Answer:
59.5
Step-by-step explanation:
He is asking for angle A
cosA = adjacent/hypotenuse
= 33/65
we'll do shift cos(33/65) = 59.48 to bring A