Answer:
Step-by-step explanation:Step 1: Remove parentheses by multiplying factors.
= (x * x) + (1 * x) + (2 * x) + (2 * 1)
Step 2: Combine like terms by adding coefficients.
(x * x) = x2
(1 * x) = 1x
(2* x) = 2x
Step 3: Combine the constants.
(2 * 1) = 2
Step 4: Therefore, Simplifying Algebraic Expression is solved as
= x2 + 3x + 2.
Identify the independent variable and the dependent variable. A pool store owner wants to determine the effect of algaecide brands on the treatment of pool water with algae. He contacts customers who have purchased the brands of algaecide and asks their opinion of the algaecide.
The independent variable is the brand of algaecide. The dependent variable is the treatment of pool water with algae.
What is the independent and dependent variable?
In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables due to some law or rule.
Here, we have
Given
A pool store owner wants to determine the effect of algaecide brands on the treatment of pool water with algae. He contacts customers who have purchased the brands of algaecide and asks their opinion of the algaecide.
We have to determine the independent variable and the dependent variable.
We concluded that the independent variable is the brand of algaecide and the dependent variable is the treatment of pool water with algae.
Hence, the independent variable is the brand of algaecide and the dependent variable is the treatment of pool water with algae.
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Un prisma cuadrangular regular tiene 4 m de arista de la base y 6m de altura Calcula el area y el volumen
Answer:
El área y volumen del prisma cuadrangular mencionado son respectivamente:
Área = [tex]16m^{2}[/tex] Volumen = [tex]96m^{3}[/tex]Step-by-step explanation:
Para solucionar este ejercicio debes recordar que un prisma cuadrangular tiene como base y como superficie cuadrados, por lo tanto, para calcular el área de dicho cuadrado puedes utilizar la siguiente fórmula:
Área de un cuadrado = [tex]arista^{2}[/tex]Ya que el ejercicio nos da el valor de la arista (4 metros), podemos reemplazarla en la ecuación y calcular:
Área de un cuadrado = [tex](4m)^{2}[/tex]Área de un cuadrado = [tex]16m^{2}[/tex]Por último, para calcular el volumen debes multiplicar el área superficial, el área del cuadrado calculado, por la altura del prisma, cuyo valor dentro del enunciado es de 6 metros, de esta forma:
Volumen de un prisma cuadrangular = área superficial * alturaVolumen de un prisma cuadrangular = [tex]16m^{2}[/tex] * [tex]6 m[/tex]Volumen de un prisma cuadrangular = [tex]96m^{3}[/tex]Como puedes ver tras los cálculos, el área superficial del prisma es de [tex]16m^{2}[/tex] y su volumen es [tex]96m^{3}[/tex].
1. Find the surface area of the cone in terms of pi.
A. 84pi cm
B. 98pi cm
C. 70pi cm
D. 119pi cm
The surface area of the cone is 119π
How to find the surface area of a cone?Surface area of a cone = πr(r + l)
where
r = radiusl = lengthTherefore,
r = 7 cm
l = 10 cm
Hence,
Surface area of the cone = 7π(7 + 10)
Surface area of the cone = 7π(17)
Surface area of the cone = 119π
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Answer: option D. 119
Step-by-step explanation:
surface area of cone =[tex]\pi[/tex] x r x l + [tex]\pi[/tex] x r^2
r =7 l =10
pi x 7 x 10 + pi x 7^2
The ratio of apple juice to cranberry juice in a punch
is 27:51. Which ratio is equivalent to 27:51?
3:7
14 to 26
54:92
9 to 17
Answer:
9 to 17
Step-by-step explanation:
If you divide 21 by 3 you get 9. So divide 51 by 3 you get 17.
Hope it helps!
Answer: 9 to 17 never got Brandie’s pls give to me
Step-by-step explanation:
Write a polynomial in intercept form so that P(x)=0 has the given roots.
7. 2, √√3
8. -i, -5
9. i, √7
11. --√6, √3
10. 2i, -i
12. 4DR, VII
The polynomial in intercept form so that P(x)=0 has the given roots is, x^2 - √3x - 2x + 2√3 = 0.
What is polynomial?
A polynomial is an expression in mathematics that only uses the operations of addition, subtraction, multiplication, and powers of positive-integer variables. It consists of indeterminates and coefficients. The polynomial x^2 4x + 7 is an illustration of one with a single indeterminate x.
We have to find the polynomial in intercept form so that P(x)=0 has the roots 2 and √3.
Let 2 and √3 are the roots of the polynomial so,
x = 2, x = √3
⇒ x - 2 = 0, x - √3 = 0
⇒ (x - 2)(x - √3) = 0
x^2 - √3x - 2x + 2√3 = 0
Hence, the polynomial in intercept form so that P(x)=0 has the given roots is, x^2 - √3x - 2x + 2√3 = 0.
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2 2/5 times 1/4 simplest form
Answer:
37/56
Step-by-step explanation:
Answer: 3/5 = 0.6
Step-by-step explanation:
1. 2 2/5 x 1/4 = 12/20
2. 2 times 5 over 5 + 2/5 = 10 + 2 over 5 = 12/5
3. 12/5 times 1/4 = 12/20
4. 12/20=3/5
a shopper purchased 8 t-shirts and 5 pairs of pants for $220. the next day, he purchased 5 t-shirts and 1 pair of pants for $112.How much does each t shirt and each pair of pants cost?
Answer:
Step-by-step explanation:
Let the costs of 1 t - shirt and 1 pair of pants be 'x' and 'y' respectively then:
Case 1 --> 8x + 5y = 220 ----------(1)
Case 2 --> 5x + y = 112 ----------(2)
Multiplying equation (2) by 5:
8x + 5y = 220
25x + 5y = 560 ------(3)
Subtracting equation (1) from equation (3) we get :
17x = 340
x = 20
Putting x in (2):
5 x 20 + y = 112
y = 12
therefore, cost of each t-shirt is 20 rupees and the cost of each pair of pants is 12 rupees
6
2/3
15
13
Hit
Miss
2/5
3
5
215
2
Not score
Score
Find the probability that Ryan misses the target and does not score a goal,
(2 marks)
Not score
Answer:
Step-by-step explanation:
6
2/3
15
13
Hit
Miss
2/5
3
5
215
2
Not score
Score
Find the probability that Ryan misses the target and does not score a goal,
(2 marks)
Clare spent $5.17 on apples. How many pounds of apples did Clare buy?
(round to the nearest tenth)
Answer: complete the question please
Step-by-step explanation:
How much is a pound/lb? Then do 5.17 divided by (however much is a pound/lb)
How do I solve this I don't understand?
Answer:
The equation for this sequence will be 8 + 17n - 17 with n being replaced with the term number you are trying to find.
so 8 + 17(16) - 17
17 x 16= 272
8 + 272= 280
280- 17= 263
Thus, the 16th term will be 263.
Answer:
16ᵗʰ Term of the sequence is 263
Step-by-step explanation:
Here,
First Term = a₁ = 8
Second Term = a₂ = 25
Third Term = a₃ = 42
Now,
Common Difference (d)
d = a₂ - a₁ = 25 - 8 = 17
d = a₃ - a₂ = 42 - 25 = 17
Here, Common Difference is same everywhere
Now, For 16ᵗʰ term, n = 16
aₙ = a + (n - 1)d
a₁₆ = 8 + (16 - 1) × 17
a₁₆ = 8 + 15 × 17
a₁₆ = 8 + 255
a₁₆ = 263
Thus, 16ᵗʰ Term of the sequence is 263
-TheUnknownScientist
In a bike shop there is a total of 120 bikes. If mountain bikes make up 10% of the total bikes in the shop how many mountain bikes are there
Answer: There are 12 mountain bikes in the shop
Step-by-step explanation:
Total number of bikes in the bike shop =120
Percentage of mountain bikes =10%
Number of mountain bikes in the shop =10% of 120
=10% x 120
==0.1 x 120=12
Carlos bought 515 Euros for his holiday to Germany. He spent £ 412 to obtain these Euros. How many Euros would Carlos have obtained if he spent £500 ?
Carlos needs a total of 400 Euros for buying 500 Euros.
The total amount available with Carlos for his holiday to Germany = 515 Euros
Amount spent to obtain these 515 Euros = £ 412
As it is clear that for buying 515 Euros he spent 412 Euros.
So, we will first find the Euros spent on buying 1 Euro.
For that, we will use Unitary Method:
So, the total Euros spent for buying 1 Euro will be = (412/515) = 0.8
So, for finding the total Euros spent for obtaining 500 Euros we will simply multiply the total Euros needed by the Euro spent for buying 1 Euro.
Thar will be equal to (0.8 * 500) = 400 Euros.
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i need help Please will mark brainiest
The standard form of the polynomial -n²(n² + 5n + 6) is -n⁴ - 5n³ - 6n².
How to represent polynomial in standard form?Polynomials are algebraic expressions that consist of variables and coefficients.
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.
Hence, let's represent the polynomial in standard form as follows:
-n²(n² + 5n + 6)
Open the brackets
-n²(n² + 5n + 6) = -n⁴ - 5n³ - 6n²
Hence,
-n²(n² + 5n + 6) = -n⁴ - 5n³ - 6n²
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Joe the hiker decided to take a rest at the gas station before Kingston. While sitting at the picnic table, he noticed that there were many cars in the parking area. There were three times more silver colour cars than red cars. There were 2 more blue cars than red and silver cars together. There were twice more white cars than red. Joe counted 42 cars altogether in the parking lot.
How many white cars were there?
how many blue cars were ther?
how many red cars were there?
how many silvers were there
There are 7 white cars, 16 blue cars, 14 red cars and 5 silver cars.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let w represents white cars
b represent blue carr
r represents red cars
s represents silver cars
There were three times more silver colour cars than red cars
3s=r...(1)
There were 2 more blue cars than red and silver cars together
b+2=r+s..(2)
There were twice more white cars than red.
2w=r..(3)
42 cars altogether in the parking lot.
w+b+r+s=42
After solving the above equation we get
s=5, b=16, w=7 and r=14
Hence, there are 7 white cars, there are 16 blue cars, there are 14 red cars and 5 silver cars.
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What is the domain of the function y √ x?
The domain of the function y = √ x is x ≥ 0.
The domain of a function is the set of all input values for which the function is defined. The square root function, represented by √, is only defined for non-negative real numbers. This is because the square root of any negative number is not a real number, it becomes an imaginary number. Therefore, the domain of √ x is the set of all real numbers greater than or equal to zero.
This means that any input value less than zero would result in an undefined output for the square root function. In this case, since the square root is the only function, the domain of the function y = √ x is x ≥ 0. This means that the function can only take non-negative real numbers as input and will output a non-negative number.
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Write the equation of a line that is perpendicular to y=14x - 4 and passes through the point (28, 16)
The equation of the line perpendicular to {y = 14x - 4} and passes through the point (28, 16) is y = - (1/14)x + 18.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is the equation of the line as -
y = 14x - 4
The given equation of line is -
y = 14x - 4
Slope of the line perpendicular to the given line is -
m{p} = -1/14
The equation of this line will be -
y = -(1/14)x + c
For the point (28, 16), we can write -
16 = -(1/14) x 28 + c
c = 16 + 2
c = 18
So, the equation will be -
y = - (1/14)x + 18
Therefore, the equation of the line perpendicular to {y = 14x - 4} and passes through the point (28, 16) is y = - (1/14)x + 18.
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A map is drawn to a scale 2cm to 100km. On the map the distance between two towns is 2.5cm. What is their true distance apart.
Answer: 125 km
Step-by-step explanation:
Given
Scale is 2 cm to 100 km i.e. 2 cm of the map is equivalent to 100 k in the true sense
or 1 cm is equivalent to 50 km
If the distance between the two towns is 2.5 cm
so, in their true distance, it is
[tex]\Rightarrow 2.5\ cm=2.5\times 50\\\Rightarrow 125\ km[/tex]
The distance between two towns is 125 km
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
-4 +/- √ 16-4(1)(7)
_____________
2
-4 +/- 2i√3
_______
2
x= -2+/- i√3
(6.3 x 10") + 2, 700, 000
Scientific notation
How many ways can the train be made up?
Answer:
16c9
Step-by-step explanation:
First, we will add up the number of different car possibilities. This is:
6 + 7 + 3 = 16.
Then, we need to take 9 of these 16 cars, giving us 16c9.
Hope this helped!
Answer:
4,151,347,200
Step-by-step explanation:
The bars on a histrogram are side by side and do not touch each other.
True
False
SOMEONE PLEASE HELP AND NO LINKS OR FILES ASAP
What quadrant is 3 and 4 in a graph?
Both the x- and y-axes have negative values in this quadrant.
The x-axis in the fourth quadrant has positive values, whereas the y-axis has negative numbers.
A two-dimensional Cartesian system's axes split the plane into four infinite areas called quadrants, each of which is limited by two half-axes. These are frequently numbered from 1st through 4th and marked by Roman numerals: I (+; +), II (; +), III (; ), and IV (+; ).
The intersection of the x-axis (the horizontal number line) and the y-axis divides the coordinate plane into four equal pieces in the cartesian system (the vertical number line). These four regions are known as quadrants because they each account for one-quarter of the coordinate plane.
The third quadrant, known as Quadrant III, is located in the bottom left quadrant.
The fourth quadrant, indicated as Quadrant IV, is in the bottom right quadrant.
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A store sells jump ropes. Each jump rope costs the same amount. During a sale, the store reduces the price of each jump rope by $1.25. Jada
spends $15.08 on 2 jump ropes at the sale price.
What was the price of 1 jump rope before the sale? Enter the answer in the box.
Answer:
The jump rope cost $8.79 before the sale.
Step-by-step explanation:
She spent 15.08 on 2 while they were on sale. I divided 15.08 by 2 to find what each one cost individually on sale, which is $7.54. Then add $1.25 to $7.54= $8.79
i need help asap please
Step-by-step explanation:
the range is (-32, 28)
note that when the bubble is not filled in it should be an open bracket
Sarah has 3 bags of marbles. Each bag has 16 marbles. If 3/4 of the marbles are blue, what is the total number of blue marbles in the bags?
Answer: 12
Step-by-step explanation: 3/4 divid by 3
helpppppppppppppppp!!!!
Answer:
69π m^2
Step-by-step explanation:
surface area of cylinder= 2πrh+2πr^2
However, the cylinder is open top
Therefore, the outer surface area of the cylinder
=2π(6/2)(10)+π(3)^2 m^2
=60π+9π m^2
=69π
hat is the product of the least common multiple and the greatest common factor of $22$ and $48$?
Answer:
1056
Step-by-step explanation:
You want the product of the LCM and the GCF of 22 and 48.
ProductOne way to find the LCM of two numbers is to start with their product, then divide out the extra factor:
LCM(A, B) = (A×B)/GCF(A, B)
Since we want the product of the LCM and the GCF, we can start with this and multiply by the GCF:
LCM(A, B) · GCF(A, B) = ((A×B)/GCF(A, B)) · GCF(A, B)
LCM(A, B) · GCF(A, B) = A×B
Using this for the given numbers, we get ...
LCM(22, 48)·GCF(22, 48) = 22·48 = 1056
__
Additional comment
If you want to go to the trouble of finding the LCM and GCF, you get ...
22 = 2·11
48 = 2·24
LCM(22, 48) = 2·11·24 = 528
GCF(22, 48) = 2
LCM·GCF = 2·528 = 1056
How much is 2 + 2?
a) 22
b) 44
neither it is just 4
Step-by-step explanation:
unless this is a joke. 2x11=22.
Answer:
Hold up, wait a minute...
Ummmm A? 22
Step-by-step explanation:
Logic:
2 + 2 (Combined)
= 22
So, the answer is 22.
PLEASE HELP I WILL GIVE FIVE STARS AND BRAINLIEST Transformation and plot image.
Answer: You need to drew , this arrow , to each point K,L,M,N,
Drawing must be parallel to , this arrow, AND , exactly the same length, as the arrow .
step 2. when you drew it , then at the end are your new points, K",L",M",N".
Ok?
step 3.
Then you just read the coordinates. of new points .
I would gladly drew it , but I do not knew how to put picture in this , jet .
Step-by-step explanation:
Is(1, 7)a solution to the inequality 3x + 11y ≤ 8? IXL
Answer: No, it is not a solution.
Step-by-step explanation:
We will substitute the point given, and if the inequality is true after simplifying then it is a solution.
Given:
3x + 11y ≤ 8
Substitue:
3(1) + 11(7) ≤ 8
Multiply:
3 + 77 ≤ 8
Add:
80 ≤ 8 ✗