3. Which of the following polynomial is written in standard form?
A. a3-5a4 + 7 a2 + 3as 4
C. 5x3 - 4x2 + 3x7 + 2x+ - 1
B. 3a* - a3 + 7a2 + 6a + 2
D. 12y3 – 10y3 + 8y3 + 6y3
4. How many terms does the following sum have when (4x' -- 3x2 + 10x - 4) + ( 4x' + x3 + 2x)
is written in standard form?
A. 3
B. 1
C. 5
D. 7
5. which value of ( a ) makes (9x - 1)² = ax² - 18x + 1 true ?
A. 9
B. 18
C. 64
D. 81
Answers
Answer:
3. A
4. C
5. A
Hope this help you
Related Questions
en una granja hay comida para alimentar a 300 conejos durante 60 días. Cuántos conejos hay que vender si se quieren alimentar durante 15 días más?
Answers
The number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.
In a farm, there is food to feed 300 rabbits for 60 days.
Let x be the number of rabbits that must be sold if they want to be fed for 15 more days.
From the given data, we have the following equation:
300 * 60 = (300 - x) * 75
The equation represents the amount of food for 300 rabbits that can last 60 days is equal to the amount of food for 300 - x rabbits that can last 75 days.
Solving for x, we get:
x = 150 rabbits
Hence, the number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.
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James can finish a job in 1.5 hours. Jane can finish the same job in one hour. How long will it take them to finish this job if they work together?
Answers
Answer:
36 minutes
Step-by-step explanation:
thank me later
A chemical company is testing a new environmentally safe weed killer. The graph below shows the results of testing on two different gardens.
How many weeds did garden A start with?
After how many days were there no weeds observed in Garden A?
After how many days were there no weeds observed in Garden B?
What is the rate of weeds dying per day in garden B?
After how many days did Garden A and B have the same amount of weeds?
Answers
Answer:
can i get brainliest?
Step-by-step explanation:
Garden A started with: 25 weeds
Days after no weeds garden A: 2 days after
Days after no weeds garden B: 6 days after
Rate of weeds dying garden B: -2.5 per day i think
Garden a and b same weeds: Day 1
PLEASE I NEED HELP
What is the slope-intercept form of the linear equation 2x + 3y = 6?
Answers
Answer:
y= 2/3x + 2
Step-by-step explanation:
g the integral \int 0^1 \int 0^{y^2}\int 0^{1-y} f(x,y,z) \; dz \; dx \; dy equals: (hint: carefully draw a 3d sketch of the domain
Answers
The integral \(\int_{0}^{1}\int_{0}^{y^2}\int_{0}^{1-y}f(x,y,z)dz dy dx\) represents the accumulation or area under the function f(x,y,z) over the specified region of integration. The specific value of the integral cannot be determined without knowing the function f(x,y,z).
The given triple integral is: \(\int_{0}^{1}\int_{0}^{y^2}\int_{0}^{1-y}f(x,y,z)dz dy dx\)
To solve this triple integral, we start from the innermost integral and work our way out. Let's go step by step:
1. First, we integrate with respect to the innermost variable, which is 'z'. Here, we integrate the function f(x,y,z) with respect to 'z' while keeping 'x' and 'y' constant. The limits of integration for 'z' are from 0 to 1 - y.
2. Once we integrate with respect to 'z', we move to the next integral. This time, we integrate the result obtained from the previous step with respect to 'y'. Here, we integrate the function obtained from the previous step with respect to 'y' while keeping 'x' constant. The limits of integration for 'y' are from 0 to 2y².
3. Finally, after integrating with respect to 'y', we move to the outermost integral. This time, we integrate the result obtained from the previous step with respect to 'x'. The limits of integration for 'x' are from 0 to 1.
Now, the exact form of the function f(x,y,z) is not provided in the question, so we cannot determine the specific value of the integral. However, we can still provide a general expression for the integral:
\(\int_{0}^{1}\int_{0}^{y^2}\int_{0}^{1-y}f(x,y,z)dz dy dx\)
In summary, we have a triple integral where we integrate a function f(x,y,z) with respect to 'z', then 'y', and finally 'x', while considering the given limits of integration.
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Complete Question:
The integral \(\int_{0}^{1}\int_{0}^{y^2}\int_{0}^{1-y}f(x,y,z)dz dy dx\) equals
What is the exact value of sin 870°?
Answers
Answer:
sin 870 degree = sin 870° = sin( 720°+ 150° ) sin 150° = sin 30° = 1/2
Step-by-step explanation:
-help me write an equation!!!
Answers
The absolute value function for this problem is given as follows:
g(x) = |x - 1| - 2.
How to define the absolute value function?An absolute value function of vertex (h,k) is defined as follows:
y = a|x - h| + k.
In which a is the leading coefficient.
The coordinates of the vertex for this problem are given as follows:
(1, -2).
As the slope of the line is of 1, the leading coefficient is given as follows:
a = 1.
Hence the absolute value function for this problem is given as follows:
g(x) = |x - 1| - 2.
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What is the equation of the line that passes through the points (-2,10) and (-9,-5)? Write your answer in slope intercept form
Answers
\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-9}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{-9}-\underset{x_1}{(-2)}}} \implies \cfrac{-15}{-9 +2} \implies \cfrac{ -15 }{ -7 } \implies \cfrac{ 15 }{ 7 }\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{ \cfrac{ 15 }{ 7 }}(x-\stackrel{x_1}{(-2)}) \implies y -10 = \cfrac{ 15 }{ 7 } ( x +2) \\\\\\ y-10=\cfrac{ 15 }{ 7 }x+\cfrac{ 30 }{ 7 }\implies y=\cfrac{ 15 }{ 7 }x+\cfrac{ 30 }{ 7 }+10\implies {\Large \begin{array}{llll} y=\cfrac{ 15 }{ 7 }x+\cfrac{100}{7} \end{array}}\)
If the perimeter of the pre-image is 41.49 units, what is the perimeter of
the image? Explain your reasoning.
Answers
The perimeter of the image is 13.83 units.
The pre-image and the image are missing and so i have attached them.From the attached image, we can see that the pre image is the triangle with coordinates as; X(3, 18), Y(18, 18), Z(18, 9).While the image is the triangle with coordinates of X’(1, 6), Y’(6, 6) and Z’(6, 3).From the coordinates given, we can see that there is a dilation because each of the coordinates have similar scale factors with which they were dilated. For example;X(3, 18) → X’(1, 6)
Y(18, 18) → Y’(6, 6)
Z(18, 9) → Z’(6, 3)
What is clear is that there is a common scale factor of 1/3.Thus, if the pre - image has a perimeter of 41.49, then the perimeter of the image will be; 1/3 × 41.49 = 13.83 units
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Grayson is trying to pick out an outfit for the first day of school. He can choose from 4 pairs of pants, 2 t-shirts, 3 sweaters or hoodies, and 5 pairs of shoes. How many different outfits does Grayson have to choose from?
Answers
Grayson has a variety of options for creating different outfits for the first day of school. Grayson has 120 different outfits to choose from for his first day of school
Grayson has a lot of options to consider when picking out an outfit for the first day of school! To determine how many different outfits he can create from the items he has available, we need to multiply the number of options for each clothing item. Starting with the pants, he has 4 pairs to choose from. Next, he can choose from 2 T-shirts to wear with the pants he selected. Moving on to the upper layer, he has 3 different options of sweaters or hoodies to pair with his chosen pants and t-shirt. Finally, he has 5 pairs of shoes to complete his outfit.
To calculate the total number of different outfits Grayson can create, we need to multiply the number of options for each item. Therefore, the total number of outfits Grayson can choose from is:
4 (pants) x 2 (t-shirts) x 3 (sweaters/hoodies) x 5 (shoes) = 120
So, Grayson has 120 different outfits to choose from for his first day of school!
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Find the area of the figure below
77.25 cm^2 154.5 cm^2 87.55 cm^2 175.1 cm^2
Answers
The area of the given triangle is 87.55 square centimeter.
From the given triangle, base=17 cm and height=10.3 cm.
The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Here, area of a triangle = 1/2 ×17×10.3
= 87.55 square centimeter
Therefore, area of the given triangle is 87.55 square centimeter.
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b. draw a hypothetical demand curve, and illustrate a decrease in quantity demanded on your graph.
Answers
A hypothetical demand curve is shown below:
A hypothetical demand curve is shown below:
Illustration of a decrease in quantity demanded on your graph is shown below:
The above demand curve shows that when price decreases from P1 to P2, the quantity demanded of the good increases from Q1 to Q2. In the second graph, the quantity demanded has decreased from Q2 to Q1 due to a decrease in any factor other than the good's price, such as income, prices of substitute products, or taste.
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In economics, demand refers to how much (quantity) of a good or service is desired by consumers. In a competitive market, the demand for a commodity is determined by the intersection of its price and the consumer's ability to buy it (represented by the curve known as the demand curve).
The quantity of a product demanded by consumers in a market is usually influenced by various factors, including price and other economic conditions. When the price of a good increases, consumers usually demand less of it, whereas when the price of a good decreases, consumers usually demand more of it.How to draw a hypothetical demand curve?The steps below outline how to draw a hypothetical demand curve:1. Determine the price of the product. This price will be represented on the vertical (y) axis of the graph.2. Determine the quantity of the product demanded at each price point. This quantity will be represented on the horizontal (x) axis of the graph.3. Plot each price/quantity pair on the graph.4. Connect the points to form the demand curve. Note that the demand curve is typically a downward-sloping curve. This means that as the price of the product increases, the quantity demanded decreases. Conversely, as the price of the product decreases, the quantity demanded increases.How to illustrate a decrease in quantity demanded on your graph?To illustrate a decrease in quantity demanded on a demand curve graph, one must:1. Select a price point on the demand curve.2. Move the point downward along the demand curve to indicate a decrease in quantity demanded.3. Plot the new price/quantity pair on the graph.4. Connect the new point with the other points on the demand curve to illustrate the decrease in quantity demanded.
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70% of 350 is what number?
Answers
Answer:
245
Step-by-step explanation:
What is 70 percent (calculated percentage %) of number 350? Answer: 245.
3. Given the following graph, what is the slope?
Answers
Answer:
the answer is C
A business has weekly profits of $5,000, $1,700, $2,000, $2,500, $5,000, and $3,000. Why is using the mode to describe the data set misleading?
Answers
Answer: IT JUST IS
Step-by-step explanation:
a club has 25 members. how many ways are there to choose four members of the club to serve on an executive committee?
Answers
There are 303600 ways to choose 4 members of the club to serve on an executive committee.
What is permutation and combination ?A permutation is the act of putting things or numbers in a certain order. Combinations are a method of picking things or numbers from a set of objects or collections without regard for their order.
CalculationNo. of members = 25
We are supposed to find the no. of ways to choose a president, vice-president, secretary, and treasurer of the club
No. of posts = 4
The order matters here since each member will get different posts .
So, we will use permutation over here
formula - n P r = n! / (n-r)!
n = 25
r = 4
using calculator
25 P 4 = 303600
Hence there are 303600 ways to choose 4 members of the club to serve on an executive committee.
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4+8+9+10+3= i will give brainlist
Answers
Answer:
the answer is 34 .......................................
What is the factorization of the expression below?
16x2 - 25y2
A. (8x - 5y)(2x + 5y)
B. (8x - 5y)(2x - 5y)
C. (Ax-5744x + 5)
D. (4x - 5y)(4x - 5y)
SUBMIT
Answers
Answer:
Step-by-step explanation:
Dang kid
cos30° cos45°-sin30° sin 45°
Answers
Answer:
(√6 - √2)/4
Step-by-step explanation:
cos30°cos45° - sin30°sin45°
= cos (30 + 45)°
= cos 75°
= (√6 - √2)/4
Determine the equation of the tangent plane and normal line of
the curve f(x,y,z)=x2+y2-2xy-x+3y-z-4 at p(2,
-3, 18)
Answers
To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.
Taking the partial derivatives with respect to x, y, and z, we have:
fx = 2x - 2y - 1
fy = -2x + 2y + 3
fz = -1
Evaluating these partial derivatives at the point P(2, -3, 18), we find:
fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9
fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7
fz(2, -3, 18) = -1
The equation of the tangent plane at P is given by:
9(x - 2) - 7(y + 3) - 1(z - 18) = 0
Simplifying the equation, we get:
9x - 7y - z - 3 = 0
To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:
x = 2 + 9t
y = -3 - 7t
z = 18 - t
where t is a parameter representing the distance along the normal line from the point P.
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How much material is used for the entire kite, quadrilateral KITE? Round to the nearest square inch. 31 square inches 34 square inches 48 square inches 62 square inches.
Answers
The amount of material is the area of the kite
The amount of material needed for the entire kite is 48 square inches
How to determine the amount of materialThe given parameters:
KI =6 inchesET = 8 inchesKT=10 inchesArea of ΔKIT = 17 square inchesStart by calculating the area of the bottom triangle using:
\(Area = 0.5 * base * height\)
So, we have:
\(Area = 0.5 * KI * KT\)
This gives
\(Area = 0.5 * 6* 10\)
\(Area = 30\)
The amount of material used is the sum of both areas
\(Material = 30 + 17\)
\(Material = 47\)
This approximates to 48
Hence, 48 square inches of material is used for the entire kite
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Answer:
c ( 48 )
Step-by-step explanation:
edg
Someone help me please? Will mark as brainliest:)
Answers
Answer:
HI = 26
Step-by-step explanation:
To
calculate this, we use the principle of similar triangles
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
Thus, we have it that;
Let HI = x
x/x + 39 = 12/30
30(x) = 12(x + 39)
30x = 12x + 468
30x - 12x = 468
18x = 468
x = 468/18
x = 26
HI = 26
How many times will the following loop execute?
int x = 0;
do {
x++;
cout << x << endl;
}while(x < 5)
Answers:
a. - 5 times
b. - 4 times
c. - It doesn't
d. - Infinite times
e. - 6 times
Answers
Answer:
Step-by-step explanation:
The loop will run an infinite number of times
A confectionery company mixes three types of toffees to form one kilogram " toffee packs. the pack is sold at rs. 17. the three types of toffees cost rs.20, rs. 10, rs. 5 per kg. resp. the mixture must contain atleast 300 gms of first type. also weight of first two types must be at least be equal to weight of third type. find the optimal mix for maximum profit.answer
Answers
The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.
The optimal mix for the maximum profit can be found as follows:
The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg
Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0
Let us now calculate the total cost of making 1kg of toffee pack.
Cost = 20a + 10b + 5c
If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by
Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)
Now we have the following linear programming problem:
Maximize P = 17 - (20a + 10b + 5c)
Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)
a >= 0.3a + b - c >= 0a, b, c >= 0
We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:
We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).
Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is
P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5
Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5
Corner point (0.6, 0, 0.4) result in a profit of 6
Corner point (0, 0.5, 0.5) results in a profit of 5
Corner point (0, 1, 0) gives a profit of 3
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How do I solve this equation... if a=5 b=7 and c=12 What is: a(b + c) x 2?
Answers
Answer:
190 is the answer of the equation.
Step-by-step explanation:
a(b + c) × 2
Now putting the values of a,b and c.
5(7+12)×2
= 5(19)×2
= 95×2
= 190
how would I graph y≤5
Answers
Answer:
draw a line where y is equal to 5 and shade in the graph below to represent the greater than
Step-by-step explanation:
South School has a circular pattern on the playground has a radius of 6 ft find A the circumference of the pattern and B the area of the pattern use 3.14 for pi
Answers
Use the equations for the circumference and the area of a circle
For the circumference:
\(\begin{gathered} P=2\pi\cdot r \\ P=2\cdot(3.14)\cdot6 \\ P=37.68 \end{gathered}\)The circumference is 37.68 ft.
For the area
\(\begin{gathered} A=\pi\cdot r^2 \\ A=3.14\cdot(6)^2 \\ A=113.04 \end{gathered}\)The area is 113.04 ft.
Need help to find the zeros for this quadratic equation pleaseeee
Answers
The zeros for this quadratic equation is [-1, 0].
What is the general form of a quadratic function?In Mathematics and Geometry, the general form of a quadratic function can be modeled and represented by using the following quadratic equation;
y = ax² + bx + c
Where:
a and b represents the coefficients of the first and second term in the quadratic function.c represents the constant term.Next, we would solve the quadratic function by using the factorization method as follows;
y = x² + 2x + 1
x² + 2x + 1 = 0
x² + x + x + 1 = 0
x(x + 1) + 1(x + 1) = 0
(x + 1)(x + 1) = 0
x = -1.
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How can the triangles be proven similar by the SSS similarity theorem show that the ratios?
Answers
The Side-Side-Side (SSS) criterion for triangle similarity states that if three sides of one triangle are proportional to three sides of another triangle, then the triangles are similar.
If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent by SSS rule.
SAS similarity theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent then two triangles are similar.
To prove two triangles are similar using SSS similarity, first consider two triangles then find the different ratios of the two triangles sides and compare till each of the ratios becomes the same. Then compare the ratios, and bring about the equal ones.
After applying SSS similarity we can say that two triangles are similar.
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Question 5 2 pts Activity No. 0330 is Concrete Placing for Foundation in the Temple Underground Parking Project, with an estimated cost of $73,400 for 1.200 c.y. of concrete. After two weeks, $35.540 was already spent on this activity for 690 c.y. Currently, an estimated cost of $46,660 for 850 c.y. is needed to complete this activity on the project. What is the Estimated Total Cost at Completion (ETC)? Enter the number only, without the dollar sign or comma.
Answers
the Estimated Total Cost at Completion (ETC) is $46,660.
Given, Activity No. 0330 is Concrete Placing for Foundation in the Temple Underground Parking Project
Estimated cost of $73,400 for 1.200 c.y. of concrete.
$35.540 was already spent on this activity for 690 c.y.
Currently, an estimated cost of $46,660 for 850 c.y. is needed to complete this activity on the project.
We need to find the Estimated Total Cost at Completion (ETC)
So, the formula for ETC is as follows:
ETC = Actual cost to date + Estimated cost of the work remaining
The actual cost for 690 c.y. is $35,540.
So the estimated cost for 510 c.y. is estimated to be:
Estimated cost for 510 c.y. = 46,660 - 35,540 = 11,120 dollars
And the estimated total cost at completion (ETC) is the sum of actual cost to date and estimated cost of the work remaining:
ETC = 35,540 + 11,120 = 46,660 dollars
Therefore, the Estimated Total Cost at Completion (ETC) is $46,660.
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