Answer:
10:40
Step-by-step explanation:
3x4 = 12
4 x 4 = 16
5 x 4 = 20
so 10 x 4 = 40 (10:40)
Answer:
10:40
Step-by-step explanation:
Step 1: Reduce ratio to lowest value
3 : 12 = 1 : 4
*Divide by 3
Step 2: Solve ratio
Let 'x' represent the second number
1 : 4 = 10 : x
Multiple the left side by 10
10 : 40 = 10 : x
Therefore the second number in the ratio with 10 is 40
The simple linear regression model requires that X-Y data has a linear relationship. What methods can you use to determine if the data have this type of relationship
Answer:
Correlation
Step-by-step explanation:
The Simple linear regression model, also called as 'Classical Linear Regression Model' requires that X-Y data has a linear relationship.
Preliminary correlation analysis can be used to determine if data have this type of relationship. As Correlation is used to study positive or negative linear relationship between two variables.
However, difference is that Regression establishes cause effect relationship, correlation signifies just mutual correlation.
Given: f(x) = 3x+2 and g(x) = -4x-2
Find the point of intersection algebraically and with your calculator
Answer:
x = -4/7, y = 2/7
Step-by-step explanation:
Given: f(x) = 3x + 2 and g(x) = - 4x - 2
The point of intersection of the two functions is the point at which both functions intersect. We have to solve the functions simultaneously to get the solution.
f(x) = y = 3x + 2
y = 3x + 2 (1)
g(x) = y = -4x - 2
y = -4x - 2 (2)
Subtract equation 2 from equation 1:
0 = 7x + 4
7x = -4
x = -4/7
Put x = (-4/7) in y = 3x + 2:
y = 3(-4/7) + 2 = -12/7 + 2 = 2/7
Write the inequality for the graph below. In two or three sentences, explain how you generated the inequality. Make sure to explain how you got the slope, y-intercept, and inequality.
Answer:
[tex]y<-\dfrac{1}{4} x+1\\OR\\ 4y<-x+4[/tex]
Step-by-step explanation:
First of all, let us try to find out the equation.
We can easily observe from the graph the values of x and y intercept.
x intercept is the value where y coordinate is 0.
We can see that y is 0 at x = 4
So, x intercept (4, 0)
y intercept is the value where x coordinate is 0.
We can see that y is 1 at x = 0
So, x intercept (0, 1)
Now, we have 2 points for the equation of line.
Slope intercept form:
[tex]y=mx+c[/tex]
Slope of a line:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]x_1 = 0\\x_2 = 4\\y_1 = 1\\y_2 = 0[/tex]
[tex]m=\dfrac{0-1}{4-0}\\\Rightarrow m =-\dfrac{1}{4 }[/tex]
[tex]y=-\dfrac{1}{4} x+c[/tex]
Putting the point (0, 1):
[tex]1=-\dfrac{1}{4} \times 0+c\\\Rightarrow c = 0[/tex]
So, the equation becomes:
[tex]y=-\dfrac{1}{4} x+1[/tex]
Let us try to put a point (0, 0) in the equation.
LHS becomes 0.
RHS becomes 1.
LHS < RHS (Only less than sign used because the line is dashed not solid)
So, the inequality is:
[tex]y<-\dfrac{1}{4} x+1\\OR\\ 4y<-x+4[/tex]
Mr. Two brought in cookies for his class. He gave out half of them in the morning.
At lunch, he gave out 14 more. He then had 8 cookies left. How many cookies did
he start with?
Step-by-step explanation:
14 + 8 = 22
If he gave half of them in the morning = 22 x 2 = 44
Total cookies = 44
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 $1.80. Gavin
spends $14.38 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.
============================================
Work Shown:
x = price of one jump rope before the discount
x-1.80 = price of one jump rope after discount
2*(x-1.80) = total amount Gavin spends
2*(x - 1.80) = 14.38
x - 1.80 = 14.38/2 .... divide both sides by 2
x - 1.80 = 7.19
x = 7.19 + 1.80 ..... adding 1.80 to both sides
x = 8.99
Before the sale, one jump rope costs 8.99 dollars
After the sale, one jump rope costs 8.99 - 1.80 = 7.19 dollars.
This doubles to 2*7.19 = 14.38 dollars which is what Gavin spent in total. This helps confirm the answer.
Answer:
$8.99
Step-by-step explanation:
A meter is 100 centimeters, so a centimeter is one hundredth of a meter (0.01 meter). A meter was divided into two parts. One part was 0.37 meter long. How long was the other part?
Answer:
0.63 meters
Step-by-step explanation:
Given the following :
1 meter = 100 centimeters
1 centimeter will be (1/100)meter
1 meter is divided into two :
Assume x and y
One part = 0.37 meters, = x
Then y will be :
x + y = 1 meter
x = 0.37
0.37 + y = 1
y = 1 - 0.37
y = 0.63 meters
Hence, the other part will be 0.63 meters
what is derivative of cosec(ax+b) ? please explain it step by step
Answer:
(csc(ax+b))'=-a csc(ax+b)cot(ax+b)
Step-by-step explanation:
We are asked to find the derivative of csc(ax+b). I assume you are asked to find the derivative with respect to x. If the assumption is wrong, please note so in the comments.
To do this we must use chain rule.
This will require us to know the derivative (w.r.t. x) of inside function, ax+b, and outside function, csc(x).
(ax+b)'=(ax)'+(b)'
(ax+b)'=a(x)'+0
(ax+b)'=a(1)+0
(ax+b)'=a
(csc(x))'=-csc(x)cot(x)
The chain rule states:
(f(g(x)))'=g'(x)×f'(g(x))
So our conclusion is:
(csc(ax+b))'=a×-csc(ax+b)cot(ax+b)
(csc(ax+b))'=-a csc(ax+b)cot(ax+b)
Can someone help? 15 points! :)
Answer:
[tex]\Large \boxed{\mathrm{see \ below}}[/tex]
Step-by-step explanation:
Given.
(4x)/7 - 6 = -20
The x variable should be isolated on one side of the equation.
Adding 6 to both sides of the equation.
(4x)/7 - 6 + 6 = - 20 + 6
(4x)/7 = - 14
Multiplying both sides of the equation by 7.
(4x)/7 × (7) = - 14 × (7)
4x = - 98
Dividing both sides of the equation by 4.
(4x)/4 = - 98/4
x = - 24.5
A length of a rectangle is twice its width. The perimeter of the rectangle is 126 feet.
Answer:
252
Step-by-step explanation:
Because you just multiply:
126 times 2 = 225
help me solve this trigonometry
Answer:
2a) x=40.44, y=2.816
Step-by-step explanation:
2a)
Use SOHCAHTOA. You have the opposite (2.4) and the hypotenuse (3.7)
so you use SOH, which means sin(x) = opposite/hypotenuse
so x = sin⁻¹ (2.4 / 3.7) ≈ 40.44.
To find y, we use, CAH: cos(x) = y / hypotenuse
y = cos(x) * hypotenuse = cos(40.439793) * 3.7 ≈ 2.816
Miguel va de compras al supermercado y adquiere los siguientes productos, 8 helados de crema por un valor de cada uno de $9,56. Un paquete de papas grande por un valor de 3.70. Una gaseosa por valor de 4,525 y una chocolatina por valor de 1,267. 1. ¿Cual es el valor de los ocho helados y que operación debe realizar.? 2. ¿Cual es el valor total que debe pagar en la tienda? 3. Si Miguel tiene en su bolsillo $99,56 cuanto dinero le queda después de pagar en el supermercado?
Answer:
1) El valor de los ocho helados de crema es 76,48 pesos, 2) El valor total de la compra es 85,97 pesos, 3) A Miguel le queda 13,59 pesos después de pagar en el supermercado.
Step-by-step explanation:
Supóngase que los costes son en pesos mexicanos. (MXN)
1) ¿Cuál es el valor de los ocho helados y que operación debe realizar?
Se multiplicar la cantidad de helados comprados por su valor unitario, es decir:
[tex]x = (8\,helados)\cdot \left(9,56\frac{MXN}{helado} \right)[/tex]
[tex]x = 76,48\,MXN[/tex]
El valor de los ocho helados de crema es 76,48 pesos.
2) ¿Cuál es el valor total que debe pagar en la tienda?
El valor total es la suma de todos los costes de los elementos comprados:
[tex]y = 76,48\,MXN + (1\,papa)\cdot \left(3,70\,\frac{MXN}{papa} \right)+(1\,gaseosa)\cdot \left(4,525\frac{MXN}{gaseosa} \right)+(1\,chocolatina)\cdot \left(1,267\,\frac{MXN}{chocolatina} \right)[/tex]
[tex]y = 85,97\,MXN[/tex]
El valor total de la compra es 85,97 pesos.
3) Si Miguel tiene en su bolsillo $99,56. ¿Cuánto dinero le queda después de pagar en el supermercado?
El remanente se obtiene al sustraer el valor total de la compra del efectivo disponible:
[tex]z = 99,56\,MXN-85,97\,MXN[/tex]
[tex]z = 13,59\,MXN[/tex]
A Miguel le queda 13,59 pesos después de pagar en el supermercado.
in a class of 14 boys and 12 girls one of the student is picked in a random what is the probability that the student is a girl
Step-by-step explanation:
Total number of students =14+12
=26
Probability that a student is a girl
[tex] = \frac{number \: of \:girls}{total \: number \: of \: students} \\ = \frac{12}{26} \\ = \frac{6}{13} \\ therefore \: the \: probability \: that \: \\ a \: student \: is \: a \: girl \: \\ = \frac{6}{13} [/tex]
What is true of angles of similar triangles?
Answer:
corresponding angles are congurent
Step-by-step explanation:
Answer:
Corresponding angles are congruent
Explanation:
If you line the triangles up on top of each other, they should be the same and you should not see any angles or lines from triangle 1 away from triangle 2
Directions: Evaluate the solution 6) g(x) =- 2x + 5; Find g(-5) 6) in function notation?
Answer:
g(-5) = 15
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
g(-5) = -2(-5) +5 = 10 +5
g(-5) = 15
It takes Jane 65 minutes to fly from Dallas, TX to San Antonio, TX on a commercial airline. She flew a total of 248 miles. Given this information, how long would it take for Jane to fly from San Antonio to Houston, which is 190 miles, if she flies at the same rate? Round to the nearest minute.
Answer:
50 minutes
Step-by-step explanation:
The rate is the same, so the time is proportional to the distance:
time to Houston = (65 min)(190/248) ≈ 49.8 min ≈ 50 min
It would take Jane 50 minutes to fly 190 miles.
a farmer is trying to determine the proper amounts of two fertilizers for her corn crop. She wants to use a total of 300 pounds of fertilizer per acre. She also finds that a 3:1 ratio of organic fertilizer to chemical fertilizer is optimal. If she has 9 acres of cornfield, how many pounds of organic fertilizer should she use?
Answer:
eat po0
Step-by-step explanation:
im po0 colour in among u
The slope line that passes through -3/5 and 4,1
Answer:1
Step-by-step explanation:
Jennifer earns $17.35 per hour at her job. She works 6 hours per day, 5 days per week. What is Jennifer’s gross income for a 2 week pay period?
Answer:
She makes $1041 in 2 weeks
Step-by-step explanation:
First, we can work on finding how much she makes in a day. To find the daily income, we need to multiply 17.35 by 6 since she works 6 hours a day.
17.35x6=104.1
She makes $104.10 a day. Now we multiply by 5 since she works 5 days a week
104.10x5=520.50 a week
Since we are trying to find how much she makes in two weeks, we multiply the weekly income by 2
520.5x2=1041
She makes $1041 in 2 weeks
What is the center of a circle with the equation (x − 6)2 + (y + 2)2 = 9?
Answer:
centre = (6, - 2 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 6)² + (y + 2)² = 9 ← is in standard form
with (h, k ) = (6, - 2 ) ← centre
At what distance is the point (-5, 3) from the x-axis?
Answer:
[tex]\Huge \boxed{\mathrm{3 \ units}}[/tex]
Step-by-step explanation:
(-5, 3)
x = -5
y = 3
The distance from the x-axis is 3 units.
Which of the following sets of ordered pairs represents a function?
Answer:
A
Step-by-step explanation:
it has only one of each x value
How many pounds of candy that sells for $0.78 per pound must be mixed with candy that sells for $1.33 per pound to obtain 8 pounds of a mixture that should sell for $0.98 per pound
Step-by-step explanation:
Let x and y pounds of Candy A and Candy B be mixed respectively.
Rate of Candy A and Candy B are $0.78 and $1.33 per pound respectively.
Now,
(A) x + y = 8
(B) 0.78x + 1.33y = 7.84
Solving both equations :
0.33y = 1.6
x = 3.16 pounds of Candy A
y = 4.84 pounds of Candy B
The expression 14 ^ 6= 14^4 is equal to
14^2
1
2
14^10
Answer:14^2
Step-by-step explanation:
Answer:
14^2
Step-by-step explanation:
:)
Consider that x = 3 4 and y = 1 2 . Which statement is true about x + y? A) The sum of x and y is a rational number. B) The sum of x and y is an imaginary number. C) The sum of x and y is an irrational number. D) The sum of x and y is neither rational nor irrational.
Answer:
The answer is
Step-by-step explanation:
? A) The sum of x and y is a rational number.
Hope this helps....
Have a nice day!!!!
Answer All The Questions
1. In a cyclic quadrilateral BDEF, <BDF=66° and <DBC=57°, O is the centre of the circle and ABC is tangent at B. Calculate
I. <EBF
II. <EBD
III.<FED
IV.<FBD
2. A woman travelled from Lagos to Ondo a distance of 350km. Her average speed on the outward journey was ykm. On the return journey, her average speed was 10km/hr faster and therefore she completed the return journey 37.5minutes earlier. Find
A. The value of y
B. Get average speed on the return journey in km/hr
C. The total time taken for the whole journey in hrs.
I'll mark brainliest plssssssss
Answer:
Step-by-step explanation:
From the attachment, we can see that
<EBF = 33°
<EBD = 33°
<FED = 114°
<FBD = 66°
Part 2
The value of y is either of 70 or -80. But then, we all know that speed can not be negative, so the speed was 70 km/h
The return speed is y + 10 = 70 + 10 = 80 km/h
Total time = 350/70 + 350/(70+10)
Total time = 5 + 4.375
Total time = 9.375 hr
Xin orders 5 identical loaves of bread from the website of a bakery. The total shipping
weight is 9 pounds, as modeled on the balance below. What is the weight, in pounds, of each
loaf of bread??
answers:
1. 5/9 pounds
2. 1 4/5 pounds
3. 4/5 pounds
4. 1 5/9 pounds
hurry & answer pls!
Answer:
4/5 pounds is your answer
Step-by-step explanation:
You need to simply divide 9 to 5. You will get 1.8, but when you turn it into a fraction you get 4/5 lbs
Hope this helps! :D
factorise 4+4ab+a²b²
Answer:
(2+ab)(2+ab) is the answer
x-15≤-6, solve for x
Answer:
x ≤ 9
Step-by-step explanation:
x - 15 ≤ -6
x - 15 + 15 ≤ -6 + 15
x ≤ 9
please help! find x and y
Answer:
Step-by-step explanation:
[tex]\dfrac{3+x}3=\dfrac{20}5\\\\3+x = 4\cdot3\\\\x=12-3 \\\\x= 9[/tex] [tex]\dfrac{4+y}4=\dfrac{20}5\\\\4+y= 4\cdot4\\\\y=16-4 \\\\y=12[/tex]
[tex]\dfrac{3+x+u}3=\dfrac{60}5\\\\3+9+u=12\cdot3\\\\u=36-12 \\\\u=24[/tex] [tex]\dfrac{4+y+v}4=\dfrac{60}5\\\\4+12+v=12\cdot4\\\\v=48-16 \\\\v=32[/tex]
I need help asap!!!! Please It’s an Algebra 2 question
Answer:
8) Real; Rational
9) Real; Rational; Integer; Whole; Natural
10) Real; Rational
Step-by-step explanation:
Real numbers consists of the subsets:
Irrational Numbers:
Irrational numbers is the subset complementary to rational numbers. It includes numbers such as √(2) or π. These numbers do not repeat nor terminate.
Rational Numbers:
Rational numbers are all the others. They include the integers as well as the repeating and terminating decimals.
Integers:
Integers include the entire set of whole numbers and the negative numbers. This subset does not include decimals nor fractions. Thus, the integers are: ...-3, -2, -1, 0, 1, 2, 3... etc.
Whole Numbers:
Whole numbers is the set of natural numbers that includes 0. So, whole numbers are: 0, 1, 2, 3... and so on.
Natural Numbers:
Natural numbers or the counting numbers are all the positive, non-decimal numbers. These are 1, 2, 3... and so on. This set does not include 0.
8) [tex]1.\overline{3}=1.3333...[/tex]
The given number is not natural, whole, nor an integer because it is a decimal. It repeats, so it belongs to the rational numbers subset.
9) [tex]\sqrt4=2[/tex]
The square root of 4 is simply 2. 2 is a natural number. Because of this, this means that 2 is also a whole number, integer, and a rational number.
10)[tex]-3/4=-0.75[/tex]
The given number is a fraction and it does not reduce to a whole number, so it's not a natural number, whole number, nor an integer. It does terminate, so it belongs to the rational numbers subset.