Answer:
[tex]{ \tt{y \: \alpha \: {x}^{3} }} \\ { \tt{y = k {x}^{3} }} \\ { \bf{k \: is \: a \: proportionality \: constant}} \\ { \tt{1512 = (k \times {6}^{3}) }} \\ { \tt{k = 7}} \\ { \boxed{ \bf{y = 7 {x}^{3} }}}[/tex]
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Answer:
The points lie INSIDE THE CIRCLE
hope it helps
have a nice day
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
Simplify: 4y2 + 5y + 2 + 8y2 + 4y + 5.
Answer:
12y² + 9y + 7
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4y² + 5y + 2 + 8y² + 4y + 5
Step 2: Simplify
Combine like terms (y²): 12y² + 5y + 2 + 4y + 5Combine like terms (y): 12y² + 9y + 2 + 5Combine like terms: 12y² + 9y + 7Answer:
12y² + 9y + 7
Step-by-step explanation:
4y² + 5y + 2 + 8y² + 4y + 5
Simplify :-
4y² + 5y + 2 + 8y² + 4y + 5
arranging like terms4y² + 8y² + 5y + 4y + 2 + 5
Combine like terms12y² + 9y + 7
Evaluate the function. f(x)=−x^2 Find f(−5)
Answer:
25
Step-by-step explanation:
put -5 from x so (-(-5))²=25
Solution:
For each occurence of x in f(x) substitute 4 and clculate the result
f(x)=-x^2+5 becomes
f(4)=-(4)^2+5
f(4)=-16+5
f(4)=-11
Please help I suck at dividing Fractions (Will give brainliest)
Answer:
The final result is 7/10
the "divisions" (divisor) is 1/10
thus the answer is 7/10 ÷ 1/10
the actual operation ....
"to divide fractions we INVERT and Multiply"
7/10 * 10/1 = 70/10 = 7
there are 7 arrows going to the right
Step-by-step explanation:
Help plz need it bad
Option B
Yes, because every value of x corresponds to exactly one y-value .
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 2.1
Step-by-step explanation:
We have:
[tex]\frac{x}{sin90}[/tex] = [tex]\frac{1.3}{sin38}[/tex]
=> sin38 × x = sin90 × 1.3
=> x = 1.3 ÷ sin38
=> x = 2.11155001... = 2.1
<3 Have a nice day!!
The value of x for the given triangle will be, x = 2.1.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is used to solve problems involving angles and distances and is applied in a wide range of fields such as engineering, physics, architecture, and navigation, among others.
The value of x will be calculated as,
x / sin(90) = 1.3/ sin(38)
sin38 × x = sin90 × 1.3
x = 1.3 ÷ sin38
x = 2.11155001...
x = 2.1
The value of x will bed x =2.1.
To know more about trigonometry follow
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Polynomial: 2x3 – x2 – 3x + 5; Divisor: x + 3
Answer:
x= 5/2= 2.500
x= -1 - Divisor: -3/2 = -1-(i)Divisor:3/2= 0.5000-0.8660(i)
x= -1+Divisor: -3/2= -1+(i)Divisor:3/2=-0.5000+0.8660(i)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((2 • (x3)) - 3x2) - 3x) - 5 = 0
STEP
2
:
Equation at the end of step
2
:
((2x3 - 3x2) - 3x) - 5 = 0
STEP
3
:
Checking for a perfect cube
3.1 2x3-3x2-3x-5 is not a perfect cube
Trying to factor by pulling out : 3.2 Factoring: 2x3-3x2-3x-5
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -3x-5
Group 2: -3x2+2x3
Pull out from each group separately :
Group 1: (3x+5) • (-1)
Group 2: (2x-3) • (x2)
Bad news !! Factoring by pulling out fails :
Answer:
2x² + 5x – 18 Remainder 59
Step-by-step explanation:
2x³ – x² – 3x + 5 ÷ x + 3
2x² + 5x – 18
x + 3 √ 2x³ – x² – 3x + 5
– 2x³ – 6x²
0 + 5x² – 3x + 5
– 5x² + 15x
0 – 18x + 5
– –18x –54
0 + 59
2x³ – x² – 3x + 5 ÷ x + 3 = 2x² + 5x – 18 Remainder 59
helppppppppppppppppppppp plzzzzz
Answer:
B. 16/3
Step-by-step explanation:
f(2) = 1/3 · 4²
f(2) = 1/3 · 16
f(2) = 16/3
How can Preena share 11 identical apples among 30 of her classmates evenly so that no apple is sliced into more than 10 pieces?
Answer:
Step-by-step explanation:
you can divide 11/30 and get 0.37
0.37%/ 100*11 =
Multiply:
0.37*11 =
add the 100 to the product you multiplied and divide them together:
4.07/100=
your quotient:
0.0407
round by 2 decimals:
0.04
your final answer is :
0.04
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the systems of equations to their solutions.
Answer:
Step-by-step explanation:
1). 2x + y = 12 -----(1)
x = 9 - 2y -------(2)
By substituting the value of x from equation (2) to equation (1)
2(9 - 2y) + y = 12
18 - 4y + y = 12
18 - 3y = 12
3y = 18 - 12
y = 2
By substituting the value of x in equation (2)
x = 9 - 2(2)
x = 9 - 4
x = 5
2). x + 2y = 9 ------(1)
2x + 4y = 20
x + 2y = 10 -------(2)
Since, both the equations are the parallel equations,
Therefore, No solutions will be the answer.
3). x + 3y = 16 -------(1)
2x - y = 11 ---------(2)
Multiply equation (2) by 3 the add to equation (1)
6x - 3y + (x + 3y) = 16 + 33
7x = 49
x = 7
From equation (1),
7 + 3y = 16
3y = 9
y = 3
4). y = 11 - 2x -------(1)
4x - 3y = -13 -------(2)
By substituting the value of y from equation (1) to (2),
4x - 3(11 - 2x) = -13
4x - 33 + 6x = -13
10x = 33 - 13
10x = 20
x = 2
From equation (1)
y = 11 - 2(2)
y = 7
5). y = 10 + x -------(1)
-3x + 3y = 30
-x + y = 10
y = 10 + x ------(2)
Equations (1) and (2) are same.
Therefore, Infinite solutions will be the answer.
6). 2x + y = 11 --------(1)
x - 2y = -7 ---------(2)
Multiply equation (1) by 2 then add to equation (2)
4x + 2y + (x - 2y) = 22 - 7
5x = 15
x = 3
From equation (2)
3 - 2y = -7
2y = 3 + 7
y = 5
In an extensive study involving thousands of British children, Arden and Plomin (2006) found significantly higher variance in the intelligence scores for males than for females. Following are hypothetical data, similar to the results obtained in the study. Note that the scores are not regular IQ scores but have been standardized so that the entire sample has a mean of M 5 10 and a standard deviation of s 5 2. a. Calculate the mean and the standard deviation for the sample of n 5 8 females and for the sample of n 5 8 males. b. Based on the means and the standard deviations, describe the differences in intelligence scores for males and females.
Answer:
mean value of female = 10.000
standard deviation of female = 1.604
mean value of male = 10.000
standard deviation of male = 2.449
Step-by-step explanation:
Given:
n=8 females
n=8 males
The objective is to find the mean and deviation and also based on the mean and the standard deviation have to describe the differences in intelligence scores for males and females
Solution:
The mean and the standard deviation are found by using MINITAB
The MINITAB procedure is explained as follows,
Step 1
choosing start > Basic statistics > Display Descriptive Statistics
Step 2
In variables supposed to enter the columns Female and Male
Step 3
Here choosing option statistics and select Mean and standard deviation
Step 4
Finally clicking OK
MINITAB output is as follows,
variable Mean standard deviation
Female 10.000 1.604
Male 10.000 2.449
b)
From the MINITAB output the mean are same for females and males.
Here the standard deviation of females is less than the standard deviation of males. That is the male scores are more variable when compared to female scores.
Sort each function into the correct category.
Linear Functions
Quadratic Functions
Exponential Functions
f(x) = 0.45X-1
f(x) = 5
f(x) = 4.5x +18
Rx) = 19x2
f(x) = x² – 3x+4
f(x) = 2x - 6
Answer:
Linear functions are
f(x) = 0.45 x - 1
f(x) = 5
f(x) = 4.5 x + 18
Quadratic function is
R(x) = 19x^2
Step-by-step explanation:
The linear function is a function in which the degree of function is 1.
So,
f(x) = 0.45 x - 1
f(x) = 5
f(x) = 4.5 x + 18 are the linear functions.
The quadratic function is a function in which the degree of function is 2.
So,
R(x) = 19 x^2 is a quadratic function.
The exponential function is a function which involves the exponents.
Answer:
pic
Step-by-step explanation:
David is paid a salary of $1850 per month. He is also paid time and a half for work in excess of 40 hours a week. He worked 62 hours last week. What is his gross pay?
Answer:
$1,471.5625
Step-by-step explanation:
Monthly salary = $1850
Weekly salary = $1850/4 weeks
= $462.5
Hourly rate = $462.5/40 hours
= $11.5625
Overwork time = 62 hours - 40 hours
= 22 hours
Time and a half = 1.5 times the normal salary
Overwork time payment per hour = 1.5 × $11.5625
= $17.34375
Overwork time payment for 22 hours = 22 × $17.34375
= $381.5625
Last week salary = weekly salary + overtime payment
= $462.5 + $381.5625
= $84.0625
Gross salary for the month = 3 weeks regular salary + last week salary
= (3 × $462.5) + $84.0625
= $1387.5 + $84.0625
= $1,471.5625
Which statement is an example of the symmetric property of congruence
9514 1404 393
Answer:
B.
Step-by-step explanation:
The symmetric properties of equality and congruence let you swap sides of the equality/congruence symbol without changing the truth of the statement:
A ≅ B ⇔ B ≅ A
please help me it’s urgent
Answer:
600g of Flour
Step-by-step explanation:
According to the question every 15 biscuits is 50g it need 50g of sugar and flour is 3 times the amount it needs for 15 biscuits so 50*3=150 now we know 15 biscuits need 150g of flour so 30 requires 300 and 300g +300g is equal to 600g of flour.
Answer:
600 g of flour.
Step-by-step explanation:
If Deon needs 50 g of sugar to make 15 biscuits, and she is going to make 60 biscuits, then she will need 200 g of sugar, since 60/15 is 4.
If the amount of flour she needs is equal to the amount of sugar multiplied by three, or 3x, if x is the amount of sugar, then she will need 200 x 3 g of flour.
Therefore, she will need 600 g of flour.
Marcella incarica Dora di aiutarla a suddividere 35 perle tra le sue tre figlie. Alla figlia maggiore vuole regalare la metà, alla mediana la terza parte e alla minore la nona parte. Inoltre Marcella vuole dare una perla a Dora come ricompensa. Quante perle riceverà ciascuna figlia?
Answer:
La hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.
Step-by-step explanation:
Dado que Marcella le pide a Dora que la ayude a dividir 35 perlas entre sus tres hijas, y quiere darle la mitad a la hija mayor, la tercera parte a la del medio y la novena a la menor y, además, Marcella quiere darle una perla a Dora como recompensa, para determinar cuántas perlas recibirá cada hija se debe realizar el siguiente cálculo:
35 / 2 = Mayor = 17.5 perlas
35 / 3 = Medio = 11.66 perlas
35 / 9 = Menor = 3.88 perlas
Así, la hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.
Which of the following numbers does not have
factors that include the smallest factor (other
than 1) of 119 ?
A. 28
B. 35
C. 40
D. 63
Answer:
C. 40
Step-by-step explanation:
The smallest factor of 119 (other than 1) is 7.
28/7 = 4,
35/7 = 5,
40/7 = 5 5/7
63/7 = 9
So it is 40
Jerry needs 216 posts to build a fence. He has 88 posts and needs P more. Write an equation that you could use to find the number of posts jerry still needs.
Answer:
P = 128 Post
Step-by-step explanation:
Total post needed = 216 posts
Number of post Jerry has = 88 posts
Number of posts jerry still needs = P
Total = Number of post Jerry has + Number of posts jerry still needs
216 = 88 + P
216 - 88 = P
128 = P
P = 128 Post
Please decide !!!!!!
The price of a pair of trainers was £85 The price was reduced to £47 Work out the percentage change in price.
Answer:
The trainers are 44.71% off the original price i think.
Step-by-step explanation:
Write the number in standard notation. 9.07 x 10−2
Answer:
Yeah, so that is right, just put it into a formula.
[tex]9.07*10x^{-2}[/tex]
Solve the inequality and express your answer in interval notation
x^2 - 12x + 3 <0
Answer:
x is ( -∞, 6-√(33) ) U ( 6+√(33) , -∞ )
Step-by-step explanation:
I have attached the explanation on the image above, hopefully this help
Write 8 as the ratio of two integer
Answer:
Step-by-step explanation: 7 1 16 37
8/1 8 divided by 1
16/2 16 divided by 2
24/3 24 divided by 3 I could go on, but won't
(d) Statement one: Two adult tickets and three children tickets cost $43.00
Statement two: One adult ticket and one ticket for a child cost $18.50
(i) Let x represent the cost of an adult ticket and y the cost of a ticket for a child.
Write TWO equations in x and y to represent the information. (2mks)
(ii) Solve the equation to determine the cost of an adult ticket
Answer:
The cost of an adult ticket is $12.50
Step-by-step explanation:
The given information are;
The cost of two adult tickets and three children tickets = $43.00
The cost of one adult ticket and one child ticket = $18.50
Whereby the cost of an adult ticket is represented by x and the cost of a child's ticket is represented by y, we get the following two simultaneous equations;
2·x + 3·y = 43.00...(1)
x + y = 18.5...(2)
(ii) Multiplying equation (2) by 2 and subtracting the result from equation (1) gives;
2·x + 3·y - 2×(x + y) = 43 - 2×18.5 = 6
2·x - 2·x + 3·y - 2·y = 0 + y = 6
∴ y = 6
The cost of each the children ticket = $6.00
From equation (2), where y = 6, we get;
x + y = 18.5
∴ x + 6 = 18.5
x = 18.5 - 6 = 12.5
The cost of an adult ticket, x = $12.50.
Lines L and M are parallel.
Answer:
52°
Step-by-step explanation:
The angle 38° and m∠1 equal 90°, so 90-38=52.
Answer:
thats is an obtuse so if 2 is 38 then 1 should be 120 but u add those together u get 158 so it shold be 120 but if not then try looking explamles up
Step-by-step explanation:
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4. Andrés desea embaldosar el piso de su casa que tiene 375 cm de ancho y 435 cm de largo. Calcula la longitud del lado que tendrían las baldosas. ¿Cuántas baldosas colocaría en total?
Answer:
Sabemos que el piso es un rectángulo de 435 cm de largo y 375 cm de ancho.
Recordar que para un rectángulo de largo L, y ancho W, el área es:
A = L*W
Entonces el área del piso, será:
A = 435cm*375cm = 163,125 cm^2
Primero, sabemos que se utilizaran baldosas (las cuales son cuadradas) y queremos saber la longitud de lado que tendrían las baldosas.
No tenemos ningún criterio para encontrar este lado, solo que (si queremos usar un número entero de baldosas) el largo L del lado de la baldosa deberá ser un divisor de tanto el ancho como el largo del suelo.
Dicho de otra forma
el largo, 435cm, tiene que ser múltiplo de L
el ancho, 375cm, tiene que ser múltiplo de L.
Por ejemplo, ambos números son múltiplos de 5, entonces podríamos tomar L = 5cm
En este caso, el área de cada baldosa es:
a = L^2 = 5cm*5cm = 25cm^2
Y el número total de baldosas que necesitaría usar esta dado por el cociente entre el área del suelo y el area de cada baldosa.
N = ( 163,125 cm^2)/(25cm^2) = 6,525 baldosas.
También sabemos que ambos números (435cm y 375cm) son múltiplos de 15cm
Entonces las baldosas podrían tener 15cm de lado.
En este caso, el área de cada baldosa es:
A = (15cm)^2 = 225cm
En este caso el número total de baldosas necesarias será:
N = ( 163,125 cm^2)/(225cm^2) = 725 baldosas.
write two such ratios number whose multplicativen inverse is same as they are
Answer:
1 and -1 are two rational numbers whose multiplicative inverse is same as they are.
Step-by-step explanation:
mark me brainlist
Find the inverse of the function y = x2 – 12
Answer: [tex]y=\sqrt{x+12}[/tex]
Step-by-step explanation:
I hope you mean y = x² - 12 and not y = 2x - 12.
You switch the y and x variables:
x = y² - 12
And solve for y:
x + 12 = y²
[tex]y=\sqrt{x+12}[/tex]
What is the value of tan in the unit circle below?
What is the value of tan in the unit circle below?
Answer:-The value of tan in the unit circle below is
[tex] \frac{ \sqrt{3} }{2} [/tex]
Note:- Please attach the full question next time.
