f(4) = 537. and f(-3) = 363. To find f(-3), we replace x with -3 in the expression similarly for x=4.
what is expression ?
In mathematics, an expression is a combination of mathematical symbols (such as numbers, variables, and operators) that represents a mathematical object or relationship.
In the given question,
To find f(-3), we replace x with -3 in the expression:
f(-3) = 3(-3)⁴ - 4(-3)³ + 3(-3)² - 5(-3) - 3
= 3(81) - 4(-27) + 3(9) + 15 - 3
= 243 + 108 + 15 - 3
= 363
Therefore, f(-3) = 363.
To find f(4), we replace x with 4 in the expression:
f(4) = 3(4)⁴ - 4(4)³ + 3(4)² - 5(4) - 3
= 3(256) - 4(64) + 3(16) - 20 - 3
= 768 - 256 + 48 - 23
= 537
Therefore, f(4) = 537.
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This week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday. Next week you practice for the same number of hours. What is the total number of hours you will have practiced over these six days?
Which expression correctly shows how to solve this problem?
A. 3 1/4 + 2 1/2 + 1
B. (3 1/4 + 2 1/2) + (3 1/4 + 2 1/2)
C. (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1
Thank You so much!!!!
Answer:
C. (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1)
Step-by-step explanation:
Since, this week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday.
And, next week you practice for the same number of hours.
Same number = (3 1/4 + 2 1/2 + 1)
Thus, [C] (3 1/4 + 2 1/2 + 1) + (3 1/4 + 2 1/2+ 1) is correct.
~Lenvy~
Answer:
[C} \(\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)\)
Step-by-step explanation:
Given:
this week you practice your instrument for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday.
Next week you practice for the same number of hours.
To Find:
What is the total number of hours you will have practiced over these six days?
Which expression correctly shows how to solve this problem
Solve:
Knowing that you practice for 3 1/4 on Monday, 2 1/2 hours on Tuesday and 1 hour on Wednesday. Next week you practice the same. Thus, we can know that [C} \(\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)\) is the correct answer.
Solution if needed.
\(\left(3\frac{1}{4}+2\frac{1}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)\)
\(=\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(3\frac{1}{4}+2\frac{1}{2}+1\right)\)
= \(\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(\frac{13}{4}+2\frac{1}{2}+1\right)\)
\(=\left(\frac{13}{4}+\frac{5}{2}+1\right)+\left(\frac{13}{4}+\frac{5}{2}+1\right)\)
\(\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\)
\(=\frac{27}{4}+\left(\frac{13}{4}+\frac{5}{2}+1\right)\)
\(=\frac{27}{4}+\frac{27}{4}\)
\(=\frac{27}{2}\)
\(=13\frac{1}{2}\)
Solution ⇒ \(=13\frac{1}{2}\)
[RevyBreeze]
List the angles of ABC in order from largest to smallest.
Answer:
BCA
CAB
ABC
that kind of triangle is a scalene triangle, meaning there are no equal sides. if you see, B is the smallest of the sides and C is the largest, so A is in the middle.
Which graphs show continuous data?
Select each correct answer.
HELP ME PLEASE!!!
Answer: the bottom two graphs show continuous data
Step-by-step explanation:
Find the missing length indicated
Step-by-step explanation:
there is a nice formula for the height in a right-angled triangle :
h = sqrt(p×q)
h being the height to the 90° angle, p and q being the segments (left and right of the height) of the Hypotenuse.
so, in our case
x = sqrt(25×144) = 5×12 = 60
Please see screenshot.
Answer:
See below
Step-by-step explanation:
Mrs. Thomas made 31⁄2 gallons of tea for the family reunion. She estimates that each of the 17 family members will drink about 3 cups of tea that day. Did she prepare enough?
an area of 6 yards is equal to 54 square feet. 9 square yards is equal to how many square feet? explain or show your reasoning
Answer:
81 squared feet
Step-by-step explanation:
i need help on these please
The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.
How to calculate the constant rate of gas?From the given table;
The volume of the first gas Layla bought = 3 gallons.
The cost of the 3 gallons = 9.45
Therefore the cost of 1 gallon = ?
That is:
3 gallons = $9.45
1 gallon = X
Make X the subject of formula:
X = 9.45/3 = $3.15
Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.
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a group of hikers is progressing steadily along up uphill trail. the graph shows their elevation
Vivek graphs the equations and to solve the equation His graph is shown below.
What are the solutions of
–4 and 2
–4 and 1
0 and 4
1 and 4
The solutions of the equation of the graph is -4 and 2.
What is solution of equation?An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.
We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.
In the given graph the point of intersection of the two equations are at x = -4 and x = 2.
Hence, the solutions of the equation of the graph is -4 and 2.
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The complete question is:
if Patty has 56 apples and And has 87 pears how many grapes do they have in total including Ava's 890 blueberries?
Answer:
Patty has 10 onions, And has 500 watermelons and Ava has a banana
HELP PLEASE THANK YOU
Answer:
MY = 16 or C
Step-by-step explanation:
Both of these binomials are equal because they are marked as equal
8x - 24 = 3x + 1 Add 24 to both sides
8x = 3x + 1 + 24 Combine
8x = 3x + 25 Subtract 3x from both sides
8x - 3x = 25 Combine
5x = 25 Divide by 5
x = 25/5
x = 5
MY = 8x - 24 Let x = 5
MY = 8*5 - 24 Combine
MY = 40 - 24
MY = 16
PLEASE HELP IMAGE ATTACHED!
The value of the determinants are
D=13
Dx =26
Dy =52
Dz =26
What is determinant?
The determinant of a matrix is a scalar value calculated for a given square matrix. Linear algebra deals with the determinant, it is calculated using the elements of a square matrix. It can be thought of as a scaling factor for the matrix transformation. Useful for solving a system of linear equations, calculating the inverse of a matrix, and numerical operations.
Given system is
x+ y-z= 4
3x+4y-3z=16
9x- 3y+4z=14
from the system the determinants become,
D= 1 1 -1
3 4 -3
9 -3 4
D= 1(16-9)-1(12+27)-1(-9-36)
=7-39+45
13
Dx=4 1 -1
16 4 -3
14 -3 4
=26
Dy=1 4 -1
3 16 -3
9 14 4
=52
Dz=1 1 4
3 4 16
9 -3 14
=26
Hence, D=13, Dx=26, Dy=52, Dz=26
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The system of equations y = negative one-fifth x minus 6 and y = –2x + 3 is shown on the graph below.
On a coordinate plane, 2 lines intersect at (5, negative 7).
According to the graph, what is the solution to this system of equations?
(5, –7)
(–7, 5)
(5, 7)
(7, 5)
Answer:
It is A (5, -7)
Step-by-step explanation:
Answer:
A 5,-7
Step-by-step explanation:
write 464000 in correct scientific notation
Answer:
The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.
To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.
So, we can write 464000 as:
4.64 x 10^5
Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.
Step-by-step explanation:
what is the child function of the parent f(x) =/root 3 x if it was translated 5 spaces to the right and reflected about the x axis
Answer:
The child function is \(g(x) = \sqrt[3]{-x+5}\)
Step-by-step explanation:
Parent function:
In this question, the parent function is \(f(x) = \sqrt[3]{x}\)
Translated 5 spaces to the right:
Translating a function 5 units to the right is finding f(x - 5).
In this question:
\(f(x-5) = \sqrt[3]{x-5}\)
Reflecting a function about the x-axis:
Reflecting a function f(x) about the x-axis is finding f(-x). So
\(f(-(x-5)) = \sqrt[3]{-(x-5)}\)
\(f(-x+5) = \sqrt[3]{-x+5}\)
The child function is \(g(x) = \sqrt[3]{-x+5}\)
(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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Can anyone help me with this? NO LINKS PLEASE, giving brainliest.
=====================================================
Explanation:
Consider a full circle with diameter 15 inches
The circumference, aka distance around the circle's edge, would be...
C = pi*d
C = 3.14*15
C = 47.1
However, we want only half the curved distance as the diagram shows.
C/2 = (47.1)/2 = 23.55
The curved distance is roughly 23.55 inches.
Then we add on the two exterior sides of 15 inches each to complete the full perimeter of the shape: 23.55+15+15 = 53.55
Notes:
The vertical straight line connecting the semicircle and the triangle is not part of the perimeter. We only consider the exterior edges.The result 53.55 is approximate since pi = 3.14 is approximateFor what value of x is the rational expression below equal to zero?
x-9
(x-4)(x+4)
OA. -4
B.
C.-9
D. 9
SUBMIT
The value of x is 9
To find the value of x for which the rational expression is equal to zero, we need to set the numerator equal to zero:
x - 9 = 0
Solving for x:
x = 9
Therefore, the value of x = 9.
Looking at the denominator (x - 4)(x + 4), we see that it contains two factors: (x - 4) and (x + 4). For the entire expression to equal zero, either the numerator or one of the factors in the denominator must equal zero.
Setting each factor in the denominator equal to zero:
x - 4 = 0 or x + 4 = 0
x = 4 or x = -4
These are the valid values of x for which the rational expression is equal to zero.
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How to use copies of a rectangle to show how a rectangle could tile a plane
Answer:
Place the copies of rectangle over the plane without any gaps.
Step-by-step explanation:
Tiling is a technique to cover two dimensional region with copies of same shapes. There should be no gap in the area or region. Tiling helps to fill out the area completely. The copies of rectangle are placed on the area that is to be tiled to cover the area.
fill in the blank. Toward the end of a game of Scrabble, you hold the letters D, O, G, and Q. You can choose 3 of these 4 letters and arrange them in order in ______ different ways. (Give your answer as a whole number.)
Toward the end of a game of Scrabble, you hold the letters D, O, G, and Q. You can choose 3 of these 4 letters and arrange them in order in 24 different ways.
To solve this problem, we need to use the concept of permutations. A permutation is an arrangement of objects in a specific order. In this case, we need to find the number of permutations that can be made from the letters D, O, G, and Q when we choose 3 of these 4 letters.
The formula for finding the number of permutations is:
n! / (n-r)!
where n is the total number of objects and r is the number of objects we choose.
Using this formula, we can calculate the number of permutations as follows:
4! / (4-3)!
= 4! / 1!
= 4 x 3 x 2 x 1 / 1
= 24
Therefore, we can arrange the chosen 3 letters in 24 different ways.
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Please help!!!!!!!!!!
Answer:
557.8 square inches
each square is 5". the base is 4x4 squares- so 20 inches square. 20x20= 400sq inches.
the semicircle at the top is 20 inches in diameter, which makes the radius 10 inches.
pi× 10^2= 314.16.
duvide that by 2 to get a semicircle- 157.8
so, the total area is the 400+ 157.8, for a total area of 557.8 square inches
Write an expression using numbers and variables for each expression below.
Example: 10 less than the product of 15 and c 150 - 10
A number d is decreased by 5 and then doubled.
Answer:
a number x is multiplied by 4 then increased by 2
Step-by-step explanation:
4x+2
In analyzing hits by certain bombs in a war, an area was partitioned into regions, each with an area of km2. A total of bombs hit the combined area of regions. Assume that we want to find the probability that a randomly selected region had exactly hits. In applying the Poisson probability distribution formula, P(x) , identify the values of , x, and . Also, briefly describe what each of those symbols represents.
Answer:
The answer is "\(\bold{ \mu =0.967, x=3, \ and \ e= 2.718}\)".
Step-by-step explanation:
A distribution of poulet applies because it deals through events (bomb hits) over even a sample space (the region with \(0.95 \ km^2\) area).
Its average hit number per area is:
\(\to \mu = \frac{\text{Number of hits of bomb}}{ \text{number of regions number}}\)
\(=\frac{535}{553} \\\\= 0.967 \\\\\)
\(\to x = 3\\\\\to e = 2.718\)
Brainliest if its correct :)
help What is the area of a rectangle with a length of 14.4 inches and a width that is one-third of the length?
43.2 in.2
51.84 in.2
69.12 in.2
103.68 in.2
Answer:
If the width of the rectangle is one-third of the length, then:
width = (1/3) x length
width = (1/3) x 14.4 inches
width = 4.8 inches
Now, we can use the formula for the area of a rectangle, which is:
area = length x width
area = 14.4 inches x 4.8 inches
area = 69.12 square inches
Therefore, the area of the rectangle is 69.12 square inches.
So, the answer is: 69.12 in.2
Step-by-step explanation:
The House of Pizza say that their pizzas are 14 inches wide, but when you measured it, the pizza was 12 inches. What is your percent error? Make sure to include your percent sign! (Round to 2 decimals)
The percent error of the house of the pizza would be 2.
How to calculate the percent error?Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
To determine the percent error, we will measure how much percent of the actual value, the error is, in the estimated value.
We have been given that House of Pizza says that their pizzas are 14 inches wide, but when measured, the pizza was 12 inches.
WE know that Error = Actual value - Estimated value
Then Error = 14 - 12 = 2
Therefore, the percent error would be 2.
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Signature of the Principle investigator on the final proposal implies his responsibility for the following except
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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find the quotient : 6x/(3x+15) divided by (x^2+2x)/ (x^2+7x+10)
The quotient of\((6x/(3x+15)) / ((x^2+2x)/ (x^2+7x+10))\) is 2x.
To simplify the expression\((6x/(3x+15)) / ((x^2+2x)/ (x^2+7x+10)),\) we can use the rule for dividing fractions, which states that dividing by a fraction is the same as multiplying by its reciprocal.
Let's simplify the expression :
Simplify the numerator and denominator of the first fraction.
The numerator is 6x, and the denominator is (3x+15).
We can factor out a common factor of 3 from the denominator, which gives us 3(x+5).
So the first fraction simplifies to 6x / 3(x+5).
Simplify the numerator and denominator of the second fraction.
The numerator is (x^2+2x), and the denominator is \((x^2+7x+10).\)
We can factor both the numerator and denominator:
Numerator: x(x+2)
Denominator: (x+5)(x+2)
Canceling out the common factor of (x+2), we are left with x / (x+5).
Multiply the two simplified fractions.
Multiplying the fractions, we get:
\((6x / 3(x+5)) \times (x / (x+5))\)
Simplify the resulting expression.
Canceling out the common factor of (x+5) in the numerator and denominator, we are left with:
2x / 1
So the quotient simplifies to 2x.
Therefore, the quotient of \((6x/(3x+15)) / ((x^2+2x)/ (x^2+7x+10))\) is 2x.
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what is 2+2 my brain has been in circles about this
Answer:
hey welcome to Brainly, and 2 + 2 = 4
Step-by-step explanation:
2+2=4
3+3=6
4+4=8
5+5=10
and so on just keep adding 2