Answer:
2
Explanation:
Given the expression
\(\frac{(2+6)^2}{4\cdot9-4}\)First evaluate the addition operation in bracket
\(\begin{gathered} \frac{8^2}{4\cdot9-4} \\ =\text{ }\frac{64}{4\cdot9-4} \end{gathered}\)Evaluate the product;
\(\begin{gathered} \frac{64}{36-4} \\ =\text{ }\frac{64}{32} \\ =\text{ 2} \end{gathered}\)Hence the result of the expression is 2
If x and y are positive integers less than 10, and 3x + 2y = 13, using a guess-and check method, what could be the value of y?
Find one of the two possible correct answers. Enter a number for y only!
Hint: Substitute numbers in for x and y and find a pair that works!
y = ____
Step-by-step explanation:
we can do even a little bit better than wild guessing and trying.
3x + 2y = 13
tells us that the sum of 2 terms is an odd number.
that means one term has to be odd and the other even, as only then their sum will be odd.
2y is because of the included factor 2 an even number. always.
so, 3x has to be odd.
and that means x has to be odd too. because an even number multiplied with any number is always even.
so, x can only be 1 or 3. because 3×5 = 15 (3×7 = 21, 3×9 = 27) and already too big for the sum 13.
so, for x = 1 we have
3×1 + 2y = 13
3 + 2y = 13
2y = 10
y = 5
for x = 3 we have
3×3 + 2y = 13
9 + 2y = 13
2y = 4
y = 2
so, the answer is either y = 2 or y = 5.
HELP HELP HELP MATH⚠️⚠️⚠️⚠️⚠️
Find four consecutive integers with the sum of 2021
Answer:
This problem has not solution
Step-by-step explanation:
lets the integers be:
x
x+1
x+2
x+3
so:
x+(x+1)+(x+2)+(x+3)=2021
x+x+x+x+1+2+3=2021
4x+6=2021
4x=2021-6=2015
x=2015/4=503.75
x is not a integer
Which of the following describes similarity in general
Please please please help
3x+x= 180°(straight angle)
4x= 180°
x= 180/4
x= 45°
7+2^2⋅6+2^3−6
wat dis using pedmas plz :(
Answer:
9^-4 + 2^-3
Step-by-step explanation:
It can't be broken down anymore under the law of indices.
ANSWER
this answer is 33 pls picke me brainliest
help me solve problem one please.
Answer: His temperature is 99°F
Step-by-step explanation:
Let's state what we know:
Steve's temperature was initially 102°F
Later it dropped 3°F lower
Since his temperature decreased we need to subtract 3 from 102 to see what his temperature is now
102-3=99
In a right-angled triangle, the measure of an angle is 40°. Find the measure of other angles of the triangle in degrees.
The measure of other angles of the triangle in degrees are 90 and 50 degrees
Finding the measure of other angles of the triangleFrom the question, we have the following parameters that can be used in our computation:
Triangle = right triangle
Angle = 40 degrees
The sum of angles in a triangle is 90 degrees
using the above as a guide, we have the following:
40 + 90 + Other angle = 180
Evaluate
Other angle = 50
Hence, the other angle = 50 degrees
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How much would you have to deposit today to accumulate the SAME AMOUNT OF MONEY that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn?
Answer:
7606.62
Step-by-step explanation:
Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.
\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)
Now just equate this to a time 0 payment at the same rate
\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)
As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.
What is the meaning of "\(F=\left \{ (x,y):\varphi (x,y,p) \right \}\)"?
The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.
The expression "F = {(x, y) : φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function φ, which takes the variables x, y, and p as inputs.
To fully understand the meaning of F, we need to delve into the function φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.
For instance, let's consider a specific example where vraphi(x, y, p) is defined φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.
It is important to note that the specific meaning and implications of F heavily rely on the nature of the function φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.
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Zack is 7 years old than lacy. Ronnie is 23.Jane is 15 years younger than Ronnie and 16 years younger than Lacey.how old is lacey
Given A(-3,5) and B(7,7) find the midpoint
Answer:
(2,6)
Step-by-step explanation:
Answer the questions about the following polynomial.Drop box options : quintic, quartic, quadratic, linear, cubic
Given: A polynomial
\(-\frac{1}{2}x^4+8x^5-x+9\)Required: Fill in the blanks regarding polynomial.
Explanation:
The polynomial can be written in the standard form as
\(8x^5-\frac{1}{2}x^4-x+9\)Here, the degree of polynolial is 5, so it is a quintic polynomial.
Total terms in the polynomial are 4
Constatnt term is 9
Leading term is term with highest power of variable, so leading term of this polynomial is 8x⁵.
And leading coeffecient is coefficient of leading term, that is 8 here.
Final Answer: The expression represents a quintic polynomial with 4 terms. The constant term is 9, the leading term is 8x⁵ and leading coefficient is 8.
The general equation for depreciation is given by y = A(1 – r)t, where y = current value,
A = original cost, r = rate of depreciation, and t = time, in years.
The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years?
Using the general equation for depreciation which is y = A(1 – r)^t, The value of the car in 4 years is $12528.15
How to find the value of the car in 4 yearsThe value of the car is solved by using the formula for depreciation which is y = A(1 – r)t
definition of variables
where
y = current value, = ?
A = original cost, = $24,000
r = rate of depreciation, = 15% and
t = time, in years. = 4 years
substituting the variables
current value, y = A(1 – r)t
current value, y = 24000 * (1 - 0.15)⁴
current value, y = 12528.15
the depreciation is $12528.15
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What is 6.25 divided by 132? Please I need an answer
Answer:
0.0473484848
its what the calculator said
1. what is the difference when (-6) is subtracted from (-3)?
Please give solutions
Answer:
(-3) - (-6) = -3+6 = 6-3 = 3
Step-by-step explanation:
Step-by-step explanation:
= -6 - (-3)
= -6 + 3
= -3
-6 change into -3
Point A is shown on the the number line below.(The picture I attached)
Another point, B , is to be placed on the number line and will be 2 1/2 unit from point A. What could be the position of point b?
(A) - 1 1/2
(B) -1
(C) 2 1/2
(D) 3 1/2
(D)
Answer:
-1 is the correct answer
Step-by-step explanation:
Move that many points on the number line
The position of B on number line is at - 1.
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
Point A is shown on the the number line below.
And, Another point, B , is to be placed on the number line and will be 2 1/2 unit from point A.
Now,
Since, The position of Point A = 1 1/2
And, Another point, B , is to be placed on the number line and will be 2 1/2 unit from point A.
So, The point B = 1 1/2 + (-2 1/2)
= 3/2 - 5/2
= - 2/2
= - 1
Thus, The position of point B = - 1
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The first digit of a six-digit number is 1. This digit 1 is now moved from the first digit position to the end, so it becomes the last digit. The new six-digit number is now 3 times larger than the original number. What are the last three digits of the original number?
If the first digit of a six-digit number is 1. the last three digits of the original number is: (0, 2, 4, 6, or 8) for the equation to hold.
How to find the digits of original number?Let's represent the original six-digit number as ABCDEF, where A is the first digit, and F is the last digit. Since we know that A is 1, we can represent the original number as 1BCDEF.
When we move the digit 1 from the first digit position to the end, we get the new number BCDE1F. We are told that this new number is three times larger than the original number, so:
BCDE1F = 3 × 1BCDEF
BCDE1F = 300000B + 30000C + 3000D + 300E + 30F
Simplifying this equation, we get:
100000B + 10000C + 1000D + 100E + 10F + 1 = 3(100000 + 10000B + 1000C + 100D + 10E + F)
Expanding the right-hand side, we get:
100000B + 10000C + 1000D + 100E + 10F + 1 = 300000 + 30000B + 3000C + 300D + 30E + 3F
Simplifying further, we get:
70000B + 7000C + 700D + 70E + 7F = 299999
Dividing both sides by 7, we get:
10000B + 1000C + 100D + 10E + F = 42857
Since we know that F is the digit 1, we can rewrite this equation as:
10000B + 1000C + 100D + 10E + 1 = 42857
Subtracting 1 from both sides, we get:
10000B + 1000C + 100D + 10E = 42856
The last three digits of the original number are BCE. To find them, we can divide both sides of the above equation by 100 and take the remainder:
(10000B + 1000C + 100D + 10E) mod 100 = 56
Simplifying the left-hand side, we get:
(100B mod 100) + (10C mod 100) + (D mod 100) + (10E mod 100) = 56
Since the first three terms are divisible by 100, we can ignore them and focus on the last term:
10E mod 100 = 56
The only digit of E that satisfies this equation is 6. Therefore, the last three digits of the original number are 1BC, which is 16C in decimal form. We don't have enough information to determine the exact value of C, but we know that it must satisfy the equation:
10000B + 1000C + 100D + 10(6) = 42856
Simplifying, we get:
1000C + 100D = 42796 - 10000B
Since the left-hand side is divisible by 100, the right-hand side must also be divisible by 100. Therefore, B must be an even digit (0, 2, 4, 6, or 8) for the equation to hold.
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please help with this question
Answer:
B. xy(y - x) (y + x)
Step-by-step explanation:
Help help please please
✽ Hello there! ✽
4x+9<21
Move all the constants (numbers) to the right, using the opposite operation:
4x<21-9
4x<12
Divide both sides by 4 to isolate x:
x<3
Therefore, x<3 ✔︎Hope this helps!
~Just a felicitous girlie
#HaveASplendidDay
\(SilentNature\)
Find the Surface Area of the following figure. 9.5 m 16m 14m 12.7m 11m
The total surface area of the figure will be 1968.85 square meters.
To determine the surface area of the figure, we need to find the area of each face and then add them together.
Surface Area of the rectangular prism = 2(lb + bh + hl)
= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)
= 2(152 + 133 + 224) = 2(509)
= 1018 m²
Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:
Surface Area of the triangular prism;
= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)
= (154 + 350.35 + 445.5)
= 950.85 m²
Therefore, the total surface area of the figure will be;
Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism
= 1018 m² + 950.85 m²
= 1968.85 m²
So, the surface area of the figure is 1968.85 square meters.
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(Pic) How many tablets, please help!
Show steps please
The number of tablets that should be taken each day by the patient who needs Synthroid is 1 tablet.
How to find the number of tablets ?To find the number of tablets of Synthroid that should be taken, you convert the requirements from micrograms ( μg ) to milligrams ( mg).
1 milligram = 1, 000 micrograms ( μg )
25. 0 μg in milligrams is therefore:
= 25 / 1, 000
= 0. 025 mg
This means that the number of tablet to take is:
= Mg requirement / Mg of tablet
= 0. 025 / 0. 025
= 1 tablet
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A cash box of $1 and $5 bills is worth $45. The number of $1 bills is 3 more than the number of $5 bills. How many of each bill does it contain?
Answer:
There are 10 $1 bills and 7 $5 bills
Step-by-step explanation:
7($5 bills) x 5
=35
7+3 (3 more $1 bills)
=10
10+35
=45
Answer:
$1: 10
$5: 7
Step-by-step explanation:
To find out how many of each bill is in the cash box, create an expression
x = the dollar bills
This makes the $5 bills 5x and the $1 bills x (this can also be 1x)
When it says "The number of $1 bills is 3 more than the number of $5 bills" This means that the number of $1 is x + 3 and the number of $5 is 5x
When you put it together the expression will be x + 3 + 5x = 45
First add x and 5x, making it 6x
Next subtract 3 from each side, which makes the equation 6x = 42
Lastly, divide 6 from each side, this means that x = 7
To find out how many bills there are substitute 7 wherever there is an x
This mean that the number of $1 is 7 + 3 (10), and the number of $5 bills are 5x7 (35), but its just 7 because they are $5 each
You have a bank account that pays 4% simple interest. The balance is $3000. When will the
account grow to $3250?
SHOW Work:
HELP PLEASE
The time it will take to have $3000 grow to $3250 at 4% simple interest is 2.083 years
Interest rate = 4%
Principal = $3000
Final amount = $3250
Recall :
A = P(1 + rt) Where A = final amount ; P= principal ; r = rate ; t = time takenHere, we are to calculate the time taken ; Inputting the parameters into the equation :
3250 = 3000(1 + 0.04t)
Divide both sides by 3000
3250/3000 = 1 + 0.04t
1.0833333 = 1 + 0.04t
Subtract 1 from both sides to isolate 0.04t
1.0833333 - 1 = 0.04t
0.083333 = 0.04t
Divide both sides by 0.04 to isolate t
2.08333 = t
Hence, it will take 2.083 years for the deposit to grow to $3250.
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A train running between two stations 50 Km apart arrives on time if it travels at an
average speed of 60 km/h. How late will it be if travels at an average speed of 50 Km/h?
If the train travels at an average speed of 50 Km/h, it would be late by 10 minutes.
How late will the train be if it travels at an average speed of 50 Km/h?Speed is simply referred to as distance traveled per unit time.
It is expressed as:
Speed = distance / time
Given that the train running between two stations 50 Km apart arrives on time if it travels at an average speed of 60 km/h.
The time taken by the train to travel 50 km at an average speed of 60 km/h can be calculated using the formula:
Speed = distance / time
time = distance / speed
time = 50 km / 60 km/h
time = 5/6 hour
Next, if the train travels at an average speed of 50 km/h, the time taken to cover the same distance of 50 km would be:
Speed = distance / time
time = distance / speed
time = 50 km / 50 km/h
time = 1 hour
Now, the difference in time between the two scenarios would be:
time difference = 1 hour - 5/6 hour
time = 1/6 hour
Convert to minutes
time = 1/6 × 60
time = 10 minutes
Therefore, the train would be late by 10 minutes.
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Cakculate the Length of line x
The length of line x in the figure of the cube given is 19.
Calculate the length of the base of the cube, which is the diagonal of the lower sides :
base length = √10² + 6²
base length = √136
The length of x is the diagonal of the cube
x = √baselength² + 15²x = √(√136)² + 15²
x = √136 + 225
x = √361
x = 19
Therefore, the length of line x in the figure given is 19.
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You are traveling in a car. Your speed is 30 miles per hour. What is your speed in feet per minute?
Answer:
.5
Step-by-step explanation:
30 miles a hour divide by 60 so your going half a mile a minute
Your speed in feet per minute is 2640 ft/min.
What is unit rate?A unit rate means a rate for one of something.
Given that, Your rate of speed is 30 miles for every 1 hour
We know, 1 mile = 5280 feet
Therefore, 30 miles = 30x5280 = 158400 feet
That means, you are travelling 158400 feet for every hour
In an hour, there are 60 minutes,
Therefore, you are travelling 158400 feet in every 60 minutes.
In 60 minutes = 158400 feet
In 1 minute = 158400/60 = 2640 feet
That means you are travelling 2640 feet in every 1 minute.
Hence, your speed in feet per minute is 2640 ft/min.
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pls answer
Which point is a reflection of M(-5, -6) across the y-axis?
A.
point P
B.
point Q
C.
point R
D.
point S
E.
point T
Answer:
p
Step-by-step explanation:
its beginning to look a lot like christmas
Which pair of points has a slope of 4? Question 4 options: (0, –3), (1, 1) (3, 0), (–1, –1) (1, 4), (–1, 4) (0, 4), (4, 0)
Answer:
(0,-3), (1,1)
Step-by-step explanation:
Find the value of x, show work.
The given triangle is a trigonometry identity . The value of the unknown variable 'x' is 3√2
Solving right triangles using trigonometry identity.The given triangle is a trigonometry identity with the following sides and angles
Opposite = x
Hypotenuse = 6
Angle = 45 degrees
According to the trigonometry identity
sin 45 = opposite/hypotenuse
sin 45 = x/6
x = 6sin45
x = 6(1/√2)
x = 6√2/2
x = 3√2
Hence the value of x in radical form is 3√2
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A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 4
Blue 4
Green 15
Yellow 9
Purple 3
Based on these results, express the probability that the next spin will land on blue or green or purple as a percent to the nearest whole number.
Step-by-step explanation:
OUT of 35 spins 4 + 15 + 3 = 22 were blue or green or purple
22/35 probability = 63%