Answer: -1728
Step-by-step explanation:
-12^3 = 144 * -12 = -1728
-59=-3b-32 love for b
Answer:
b = 9
Step-by-step explanation:
-3b - 32 = -59
add 59 on both sides.
- 3b - 32 + 59 = 59 - 59
-3b + 27 = 0
subtract 27 on both sides.
-3b = -27
divide both sides by -3.
-3b/-3 = -27/-3
b = 9
Pls mark as brainliest if possible. Cheers
Answer:
b=9
Step-by-step explanation: If Its Correct Answer I Try My Best To Help Yall
The roots of the equation x^2+bx+c=0 are -4 and -2.
Find b
Answer:
The value of b is 6.
We know for a quadratic equation ax^2+bx+c=0
the sum of roots = -b/a
and product of roots = c/a
the two roots are -4 and -2.
and a =1
so -b/a = (-4)+(-2)
=> -b = -6
=> b = 6.
therefore b=6.
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How do you find the perimeter of a 45 45 90 triangle?
45-45-90 triangles are special isosceles triangles. Perimeter = [tex]a+b+c[/tex] = [tex]x+x+x\sqrt{2}[/tex], where a,b,c are sides on the triangle
In 45-45-90 triangles there two angles are equal, so it is an isosceles triangle according to the property of an isosceles triangle if two angles are equal then their sides will be also equal. it means the sides will be in the ratio of 1:1
assume the length of the equal sides = [tex]x[/tex]
according to the Pythagorean theorem:
[tex](base)^2+(height)^2=(hypotenuse)^2[/tex]
[tex](x)^2+(x)^2= (H)^2[/tex]
[tex]2x^2=(H)^2[/tex]
[tex]H=x\sqrt{2}[/tex]
Therefore, the perimeter = [tex]x+x+x\sqrt{2}[/tex]
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A television show will be canceled if the estimated number of viewers falls below 2.5 million by Week 10. Use the graph to write an exponential function to model the situation. If this pattern continues, will the show be canceled?
The show will not be canceled. The estimated number of viewers will remain above 2.5 million for all weeks, according to the graph.
What is exponential function?
A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, which equates to about, is the exponential-function basis that is most frequently encountered.
Here Let us take x = Week and y = Viewers
Then According to the question estimated number of viewers falls below 2.5 million by Week
Exponential Function: y = 2.5 million x 0.75
Hence the show will not be canceled. The estimated number of viewers will remain above 2.5 million for all weeks, according to the graph.
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1.
Here are a few pairs of positive numbers whose sum is 50.
sec
a. Find the product of each pair of
numbers.
b. Find a pair of numbers that have
a sum of 50 and will produce the
largest possible product.
a. The product of the first pair of real number whose sum is 50 is 25 x 25 = 625. The product of the second pair is 24 x 26 = 624.
b. The pair of numbers that have a sum of 50 and will produce the largest possible product is 25 and 25, as their product is 625.
a. To find the product of each pair of numbers, multiply the two numbers together. For example, the product of the first pair of positive numbers whose sum is 50 is 25 x 25 = 625. The product of the second pair is
24 x 26 = 624.
b. To find a pair of numbers that have a sum of 50 and will produce the largest possible product, first consider the two numbers that can add up to 50. The two numbers must be equal, such as 25 and 25. Multiply these two numbers together to get the largest possible product, which is 625.
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. Dr. Scott asks Kelly, his office manager, to write a company check to a
pharmaceutical company to pay for a case of a new brand of rabies vaccine. The
total cost is $309.55. How should Kelly write the amount of the check on the line
that ends in "Dollars"?
Kelly should write "Three hundred nine and 55/100 dollars" on the line that ends in "Dollars".
What is cost?Cost is the monetary value associated with the purchase or production of goods or services. It can include the price of materials, wages, overhead and other expenses that are related to the production of the goods or services. Cost is a major factor when deciding whether to purchase or produce something as it is an indicator of the value of the product or service.
She should spell out the amount in words, rather than using numerals. Additionally, Kelly should be sure to double check the amount to ensure it is accurate before signing the check.
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I need help on this question
Graph the image of the given triangle reflected across the x-axis.
The coordinates of the reflection of the given image are (6, -8) (-5, -4), and (4, 3) and the image is given below.
Reflection of geometric figure:When a shape or figure is reflected over a line or plane, the transition is known as a reflection in geometry. It is also known as a flip.
Because a reflection is a hard transformation, the size and shape of the original figure remain unchanged, and the original and transformed figures are identical.
When a shape is reflected across the x-axis then the coordinates (x, y) become (x, -y).
From the given figure,
Coordinates of the triangle are (6, 8) (-5, 4), and (4, -3)
After reflection the resultant coordinates are
=> (6, -8) (-5, -4) and (4, 3)
Now we can draw the reflection of the given image using coordinates (6, -8) (-5, -4) and (4, 3) as shown figure.
Therefore,
The coordinates of the reflection of the given image are (6, -8) (-5, -4), and (4, 3) and the image is given below.
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please help
Angle measurements 27 and 63 are supplementary.
true or false
Answer:
its false, its a complementary angle
How do you find the ratio of a directed line segment?
The ratio (m :n) of the directed line segment is given by :
Divides internally is :( x, y ) = [(mx₂ + nx₁) / ( m +n) , (my₂ + ny₁) / ( m +n) ]
Divides externally is : ( x, y ) = [(mx₂ - nx₁) / ( m - n) , (my₂ - ny₁) / ( m - n) ]
As given in the question,
Let the given line segment be PQ with coordinates:
P(x₁ , y₁) and Q(x₂ , y₂)
Let the ratio in which line segment is divided given by m : n
If the point C(x, y) is in between P and Q then
Ratio in which line segment divided is internally
= [(mx₂ + nx₁) / ( m +n) , (my₂ + ny₁) / ( m +n) ]
If the point C (x, y) is in outside P and Q then
Ratio in which line segment divided is externally
= [(mx₂ - nx₁) / ( m - n) , (my₂ - ny₁) / ( m - n) ]
Therefore, the ratio of the given directed line segment is calculated using formula :
Divides internally is :( x, y ) = [(mx₂ + nx₁) / ( m +n) , (my₂ + ny₁) / ( m +n) ]
Divides externally is : ( x, y ) = [(mx₂ - nx₁) / ( m - n) , (my₂ - ny₁) / ( m - n) ]
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How many linear equations in two variables will have solutions x1 and Y 3?
There are infinite linear equations that will have solutions x = 1 and y =3.
A linear equation is an equation that contains a variable raised to the first power. This equation is said to be linear because this mathematical relationship can be drawn as a straight line in the Cartesian coordinate system.
Based on the number of variables, this equation can be divided into three types:
One-variable linear equation which comes in the form ax + b = 0, where x is the variable. This equation has only one solution, for example, 3x - 1 = 0.Two-variable linear equation describes the relationship between two variables and both are raised to the power of 1. It comes in the form ax + by + c = 0, where x and y is the variable. For example, 3x + 5y + 21 = 0.Three-variable linear equation describes the relationship between three variables and these variables are raised to the power of 1. It comes in the form ax + by + cz + d = 0, where x, y and z is the variable. For example, 3x + 5y + 3z + 21 = 0.From the question, we obtain that the solutions are x = 1 and y = 3. Then we draw the solution on a graph.
By observing the graph, we can see that there are so many (infinite) straight lines (yellow lines) that can pass through the point (2,3).
Thus we can conclude that there are infinite linear equations that will have solutions x = 1 and y =3.
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find the surface area of a sphere whose diameter is 70 cm take pi equals to 22/7
[tex]find \: the \: surface \: area \: of \: a \: sphere \: whose \: diameter \: is \: 70cm{take \: \pi = 22 \div 7}[/tex]
Answer:
Step-by-step explanation:
A 25,000-mile steel band is placed around the earth, snugly fit at the equator. The band is cut, and 36 inches of string is spliced into the steel band. This new, larger circular band is placed around the earth, so its center coincides with the center of the earth, and a gap is created. How wide is this gap?
When you have finished, post your work showing the formula used for calculating the gap (g), show all calculations solving for g (gap), and a statement interpreting the results of your work.
Answer: 2.865Feet.
Step-by-step explanation: The problem is really asking:
What is the difference in the radii of two circles, one having a circumference (C1) of 25,000 miles and the other having a circumference (C2) of 25,000 miles + 18 feet.
The circumference (C) of a circle, in terms of the radius (r), is given by:
C=2×π29r Rewrite this in terms of r.
r=C/2×π
For the first circumference (C1=25,000 miles), we can write:
r1+=+C1%2F2%28pi%29
For the expanded circumference (C2=25,000 mi + 18 ft) we can write:
r2+=+C2%2F2%28pi%29
To find the difference (d), we'll subtract r1 from r2.
d+=+C2%2F2%28pi%29+-+C1%2F2%28pi%29
d+=+%28C2-C1%29%2F2%28pi%29
But C2-C1+=+18feet
So:
d+=+18%2F2%28pi%29
d+=+9%2F%28pi%29
d+=+2.865Feet.
Rose bought a car for $19,400, but she received $1250 cash back. She will
make monthly payments at a 3.6% APR, compounded monthly, for 48 months. Use
this information to answer the following three questions.
1.
What will Rose's monthly
payment be?
2.
What would Rose's monthly
payment have been if she hadn't
received the cash back?
3.
Approximately how much money did Rose save by receiving the cash back?
Rose's monthly payment will be $448.14.2. her monthly payment would have been $455.17.3. Rose saved approximately $7,023.27 by receiving the cash back.
What is payment?Payment is the transfer of money from one party to another in exchange for goods, services, or to fulfill a legal obligation. It is an important part of commercial and financial transactions and can take many forms, such as cash, check, credit card, or bank transfer. Payment is often facilitated through a payment processor, such as a bank or third-party payment service provider. Payment processing is the process of collecting and verifying the necessary information to complete a payment transaction. It includes verifying a customer’s identity, confirming the amount of the payment, and transferring the funds. Payment processing is essential for businesses to accept payments from customers and securely pay out to their vendors or suppliers.
Answer 1: Rose's monthly payment with the cash back will be $457.15.
Answer 2: If Rose had not received the cash back, her monthly payment would have been $479.63.
Answer 3: By receiving the cash back, Rose saved approximately $22.48 per month, or a total of $1,084.24 over the course of 48 months.
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(complete solution) can someone help me here please thank you everyone! lovelots
Answer:
37, 44, 5124, 19, 1436, 49, 643, 5, 7cannot be predicted; anything you likeStep-by-step explanation:
You want the next three terms of sequences in which the first few terms are given.
SequencesIt is often useful to look at the differences of terms in a given sequence. If these "first differences" are constant, they can be used to predict the next terms.
If the "first differences" are not constant, finding the difference of those can give additional clues as to the nature of the sequence. If these "second differences" are constant, the sequence is quadratic, and these second differences can be used to predict additional terms.
If the differences have a common ratio, then the sequence is exponential.
If the differences are not constant, and the sequence is not exponential, then there is no simple way to predict additional terms. They can be anything you like, and a function can be written that would predict your chosen values.
1. 2, 9, 16, 23, 30The common difference is 9-2 = 7. Additional terms will each be 7 more than the previous term. The next three terms are 37, 44, 51.
2. 49, 44, 39, 34, 29The common difference is 44-49 = -5. Each term is 5 less than the previous one. The next three terms are 24, 19, 14.
3. 1, 4, 9, 16, 25We recognize these as the sequence of square numbers: 1², 2², 3², 4², 5². The next three terms are 6², 7², 8², or 36, 49, 64.
4. -5, -3, -1, 1The common difference is -3-(-5) = 2. Each term is 2 more than the previous one. The next three terms are 3, 5, 7.
5. -2, 0, 2, 4, 8The first differences are 2, 2, 2, 4. These are not constant, nor are the second differences constant. Nor is there a common ratio. The next term cannot be predicted, so can be anything you want it to be.
__
Additional comment
The process of writing a function that gives the values of a particular sequence is called "interpolation." An interpolation function can be written for any arbitrary sequence. For an arithmetic sequence, the function is linear. For a quadratic sequence, quadratic. For an exponential sequence, the usual interpolating methods may or may not give an exponential function, depending on which one(s) you use.
The point is that any sequence can be described by some function. The next three terms are not "set in stone." (Usually, we want the simplest function that will describe the sequence.)
Sequence 5 would be an arithmetic sequence with a common difference of 2 if the last term shown were 6 instead of 8. No exponential sequence will ever contain a value of 0. The sequence cannot be exponential, even though the last three terms make it appear to have a common ratio of 2.
What is the slope of the line that passes through (7, -4) and
(3, 8)?
Answer: The slope is -3
Step-by-step explanation: 12 / -4 = 3 / -1 = -3
I hope this helps! :)
Which expression is not equal to the expression shown??
Answer:
3^3/3^4
Step-by-step explanation:
If the ratio of C:D is 5:3 and the ratio of F:D is 6:1, what is the ratio of C:D:F?
why do we use the standard deviation as a measure of the uncertainty in single timing measurements rather than the rounding uncertainty on the timers themselves?
The approximate value obtained using the number of points and taking their standard deviation is known as uncertainty.
Uncertainty is the approximate value determined by counting the points and subtracting their standard deviations. The range of potential values within which the true value of the measurement sits is referred to as uncertainty in this context. Other names with similar meanings now have different usages.
The value will be close to the value but not exactly the value. The upper bound of the chance of obtaining the next value of the point near 68% is defined by standard deviation.
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esmeralda is making a quilt and she has determined she needs 539 square inches of blue fabric and 1426 square inches of gray. how many square yards of each material will she need? round your answers up to the nearest quarter yard.
Esmeralda will need 0.415 square yards of blue fabric and 1.1 square yards of grey fabric
According to concepts of unit conversion
1 square inch is equivalent to 0.000772 square yard
Hence, 539 square inches of blue fabric = 0.000772 x 539
=0.415 square yards of blue fabric
Again, 1sq inch = 0.000772 sq. yards
Hence 1426 square inches of grey fabric= 0.000772 x 1426
= 1.1 square yards of grey fabric.
Therefore, Esmeralda will need 0.415 square yards of blue fabric and 1.1 square yards of grey fabric
The yard is a unit of measure widely used in the British imperial and USA customary system. It is standardly recognized since 1959. Square yards are typically used when referring to the calculation of area. 1 yard is internationally agreed to be equivalent to 36 inches.
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Help me with this question please!
The value of {f} and {g} is equivalent to 10.95 cm.
What is a square?In Euclidean geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle with two equal - length adjacent sides.
Given is a trapezium ABCE.
ABCD is a square. So, we can write -
f = g
Area of square = 120 cm²
We can write -
f x g = 120
f² = 120
f = g = 10.95 cm
Therefore, the value of {f} and {g} is equivalent to 10.95 cm.
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The table and graph show the height (y), in feet, of water in a cattle tank at the end of each day (x) after it is filled.
Which of the following statements is not a valid conclusion from this information?
The invalid conclusion from the given information is -
It does not represent a exponential relationship.The initial amount of water in the cattle tank is not zero.What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a table and graph show the height (y), in feet, of water in a cattle tank at the end of each day (x) after it is filled.
The invalid conclusion from the given information is -
It does not represent a exponential relationship.The initial amount of water in the cattle tank is not zero.Therefore, the invalid conclusion from the given information is -
It does not represent a exponential relationship.The initial amount of water in the cattle tank is not zero.To solve more questions on algebraic expressions, visit the link below-
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What is the factor of x4 8x2 16?
The solution of the given equation as calculated from the data given above is found to be , ( x² - 4 ) and ( x² - 4 ).
The given system of equation is , x⁴-8x²=-16
now ,
x⁴-8x² = - 16
Now we will add 16 on both the side of the equation to make the RHS 0 ..
x⁴-8x² +16 = 0
x⁴-8x² + 16 = 0
Now , to find the factors we can simply factorize the given equation.
x⁴-8x² + 16 = 0
=x⁴-4x²-4x² + 16 = 0
=x²( x² - 4 ) + -4 ( x² - 4 )
( x² - 4 )( x² - 4 ) , therefore these are the required factors.
A mathematical expression made up of variables , constants and operators is known as an equation.
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Can someone help me please
Which ordered pair is a solution to the system of equations?
2x - y = -1
2x - 4y = 8
Answers:
(8,2)
(-2,-3)
(7,-5)
(1,3)
Answer:
(-2,-3)
Step-by-step explanation:
The explanation in the photo
Select the correct answer from each drop-down menu. Consider this expression.
-3x^2 - 24x - 36
What expression is equivalent to the given expression?
__ (x + __)(x + __)
The given expression is equivalent to (x + 2)(x + 6).
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a quadratic equation as -
- 3x² - 24x - 36
The given quadratic equation is -
- 3x² - 24x - 36
We can write the equation as-
- 3x² - 24x - 36 = 0
- 3(x² + 8x + 12) = 0
(x² + 8x + 12) = 0
x² + 6x + 2x + 12 = 0
x(x + 6) + 2(x + 6) = 0
(x + 2)(x + 6) = 0
Therefore, the given expression is equivalent to (x + 2)(x + 6).
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pretty please help me
The required inequality is 4f<36 and at most 9 fishes can be bought.
What is an inequality?An inequality is an inequation separated by <,>≥,≤. In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given here: The price of each fish is $4 and total budget is $36
Let ffishes can be brought then we have
4f<36
f<9
Hence, The required inequality is 4f<36 and at most 9 fishes can be bought.
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a radio station broadcasts a signal over an area with a 120-mile diameter. the population density of the area is 100 people per square mile. how many people are within receiving distance of the broadcast signal?
The radio station can reach around 1,030,400 people within its coverage area.
Using the equation, calculate the size of the circular circle that the radio station signal can cover.
A = πD²/4 is the area and D is the diameter. using the pi-number 3.14.
r = 120 / 2 = 60 miles
The density of the area: 100 people per sq. mile
A = r² π = 60² · 3.14 = 3600 · 3.14 = 11,304 sq. miles
11,304 · 100 = 1,030,400
or
A = (3.14)(120 mi) (120 mi)
² / 4 \s A = 11304 mi²
being aware that 100 individuals reside in each square mile.
total population receiving the signal =11304 mi² x (100 people / 1 mi²)
= 1,130,400
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A company produces three combinations of mixed vegetables that sell in 1-kg packages. Italian style combines 0. 4 kg of zucchini, 0. 2 kg of broccoli, and 0. 4 kg of carrots. French style combines 0. 5 kg of broccoli and 0. 5 kg of carrots. Oriental style combines 0. 2 kg of zucchini, 0. 3 kg of broccoli, and 0. 5 kg of carrots. The company has a stock of 21 comma 000 kg of zucchini, 28 comma 300 kg of broccoli, and 44 comma 700 kg of carrots. How many packages of each style should it prepare to use up existing supplies?
The company should prepare 23,000 packages of Italian style, 12,000 packages of French style, and 59,000 packages of Oriental style to use up existing supplies.
To determine how many packages of each style the company should prepare to use up existing supplies, we can set up a system of equations using the information provided. Let x be the number of packages of Italian style, y be the number of packages of French style, and z be the number of packages of Oriental style.
We know that the company has 21,000 kg of zucchini, 28,300 kg of broccoli, and 44,700 kg of carrots. Therefore, the total amount of zucchini, broccoli, and carrots used in each package of each style must be less than or equal to the total amount of each of these vegetables the company has in stock.
We can express this information in the following system of equations:
0.4x + 0y + 0.2z ≤ 21,000 (zucchini)
0.2x + 0.5y + 0.3z ≤ 28,300 (broccoli)
0.4x + 0.5y + 0.5z ≤ 44,700 (carrots)
We also know that x, y, and z are non-negative integers (since we are counting the number of packages)
x > 0
y > 0
z > 0
To find the solution to this system of equations, we can use a method such as substitution or elimination, or use a solver to get:
x = 23000, y = 12000, z = 59000
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(5x+2)(3x-1)-x(x+7)
simplify
Answer: 2 (7x squared -3x - 1)
Step-by-step explanation:
What Is 144 divided by 4608
Answer:
Step-by-step explanation:
144/4608=1/32 = 0.03125
Brainliest please thx
11. Find the value of x. (4 points)
Which Theorem will you use to solve this problem:
A. Triangle Midsegment Theorem
B. Perpendicular Bisector Theorem
C. Angle Bisector Theorem
D. Concurrency of Medians
work:
12. In ARST, U is the centroid. If SQ = 6, find SU and UQ. (4 Points)
Which Theorem will you use to solve this problem
A Triangle Midsegment Theorem
B. Perpendicular Bisector Theorem
C. Angle Bisector Theorem
D. Concurrency of Modians
Work (1 point):
write the equation to solve (1 point):
GIVING 75 POINTS and Brainiest!!!
SU + UQ = 6
Solve for SU and UQ (2 points):
SU = 3 and UQ = 3
Triangle Midsegment Theorem
The Triangle Midsegment Theorem states that in a triangle, the midsegment (the segment connecting the midpoints of two sides of a triangle) is parallel to the third side of the triangle and is half as long as the third side.
Therefore, we can use the Triangle
here,
SQ = 6,
then
SU = 3 and UQ = 3.
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