Answer:
Step-by-step explanation:
If we are talking slopes, we are talking linear equations, since lines are the only functions with slopes. If the slopes are the same, the lines will be parallel, and that is where we have a case of no solution because parallel lines will never intersect. NEVER EVER. If the slopes are different, eventually the lines will intersect somewhere.
Answer:
Step-by-step explanation:
False. A system with different slopes is actually most likely to have a solution.
Georgina has $5.60 in quarters and dimes. If Georgina has 14 more dimes than quarters, how many quarters does she have?
[I don't want the answer i just want someone to show me how the problem is set up because its confusing me...Thanks]
Answer:
She has 12 quarters.
Step-by-step explanation:
You have two unknowns, the number of quarters and the number of dimes. You need one equation per unknown, so you need two equations. One equation deals with the number of coins. The other equation deals with the values of the coins.
The first step is to choose variables. We can go with x and y, but I prefer to choose q and d, so I remember more easily what they represent.
Let q = number of quarters.
Let d = number of dimes.
Let's deal with the numbers of coins first.
"Georgina has 14 more dimes than quarters"
She has q number of quarters, but the number of dimes is 14 more than the number of quarters. d is 14 more than q. Our first equation is
d = q + 14
Now we deal with the values of the coins.
We don't know yet the actual numbers of dimes and quarters, so we use d and q to represent those numbers.
One dime is worth $0.10; d number of dimes is worth 0.1d.
A quarter is worth $0.25; q number of quarters is worth 0.25q.
The total value of the dimes and quarters is the sum of the values of the two sets of coins:
0.1d + 0.25q
We are told "Georgina has $5.60 in quarters and dimes."
This gives us our second equation.
0.1d + 0.25q = 5.6
Now we have a set of two equations in two variables:
d = q + 14
0.1d + 0.25q = 5.6
There are several methods for solving a system of equations. Since the first equation is already solved for a variable, d, we can use the substitution method.
We rewrite the second equation, but we substitute q + 14 for d in the second equation.
Second equation:
0.1d + 0.25q = 5.6
Substitute q + 14 for d:
0.1(q + 14) + 0.25q = 5.6
Distribute on the left side:
0.1q + 1.4 + 0.25q = 5.6
Combine like terms on the left side:
0.35q + 1.4 = 5.6
Subtract 1.4 from both sides:
0.35q = 4.2
Divide both sides by 0.35:
q = 12
There are 12 quarters.
(You are asked only the number of quarters, so you can stop here. I will continue to find also the number of dimes for 2 reasons. 1) You see how it's done, so it will help with other problems. 2) By finding the numbers of dimes and quarters, then we can check if our solution is correct, which I will do below at the end.)
Now we use the first equation, d = q + 14. We substitute 12 for q and solve for d.
d = q + 14
d = 12 + 14
d = 26
There are 26 dimes.
Check:
We check the numbers of coins:
26 - 12 = 14 The number of dimes is indeed 14 more than the number of quarters.
We check the values of the coins:
0.1(26) + 0.25(12) = 2.6 + 3 = 5.6 The value of the coins is indeed $5.60.
Our answer is correct.
help please! Darren is finding the equation in the form y = m x + b for a trend line that passes through the points (2, 18) and (–3, 8). Which value should he use as b in his equation? a) –34 b) –19 c) 2 d) 14
Answer: d) 14
Step-by-step explanation:
Equation of a line passing through (a,b) and (c,d):
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Equation of a line passing through (2, 18) and (–3, 8):
[tex](y-18)=\dfrac{8-18}{-3-2}(x-2)\\\\\Rightarrow\ (y-18)=\dfrac{-10}{-5}(x-2)\\\\\Rightarrow\ (y-18)=2(x-2)\\\\\Rightarrow\ y-18=2x-4\\\\\Rightarrow\ y=2x-4+18\\\\\Rightarrow\ y=2x+14[/tex]
Comparing resulting equation [tex]y=2x+14[/tex] to [tex]y = m x + b[/tex], we get value of b= 14.
Hence, correct option is d) 14
Help is needed please!!! Thanks Find the number of pairs of integers (x,y) with 0 1-(5/y)
Answer:
Técnicas orales y de cálculo mental de multiplicación y división entera . ... conjunto de múltiplos de 10 es un subconjunto de los números pares. Si ... La clase vacía ∅ se representa por la notación 0, la clase unitaria por 1, la clase binaria por 2, etc. En ... 5 x (5 x (5 x (5 + 4) + 3 ) + 2) + 1 ; x significa el signo de multiplicar. 8.
Step-by-step explanation:
Técnicas orales y de cálculo mental de multiplicación y división entera . ... conjunto de múltiplos de 10 es un subconjunto de los números pares. Si ... La clase vacía ∅ se representa por la notación 0, la clase unitaria por 1, la clase binaria por 2, etc. En ... 5 x (5 x (5 x (5 + 4) + 3 ) + 2) + 1 ; x significa el signo de multiplicar. 8.
SOLVE PLEASE if the radius of a cylinder is 2/3 the height and the height is 6, what is the area of the cylinder
Answer:
96π
Step-by-step explanation:
What is the probability of the complement of rolling a number less than 5 by using a six sided dye
Answer:
2/3
Step-by-step explanation:
Less than 5 is 1,2,3,4 and 4 out of 6 is also equal to 2/3
please answer Urgent!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1 4/9 x 2 3/8
Peter is making green paint by mixing blue and yellow paint in a cuboid container, shown below. The container has width of 30cm and length of 40cm and is full. He mixes blue paint and yellow paint in the ratio 2: 3. Peter uses 8.4 litres of blue paint. Calculate the height of the container
Answer: height = 17.5cm
Step-by-step explanation: Peter mixes blue and yellow paint in the ratio 2:3, which means:
[tex]\frac{2}{3} = \frac{8.4}{x}[/tex]
[tex]x = \frac{8.4*3}{2}[/tex]
x = 12.6L
The container is full with the two paints, so total volume:
V = 12.6 + 8.4
V = 21L
Knowing that 1L = 1dm³ and sides of cuboid is measure in cm:
V = 21dm³ = 21000cm³
Volume of a cuboid is calculated as:
V = width*length*height
Height of the container is
height = [tex]\frac{V}{width*length}[/tex]
height = [tex]\frac{21000}{30*40}[/tex]
height = 17.5cm
The height of the container is 17.5cm.
Find the area of quadrilateral...
Answer:
Total area = 29.8 sq. units
Step-by-step explanation:
area of each triangle = sqrt(s * (s-a) * (s-b) * (s-c))
to get the value of s, use the semi-perimeter = s = perimeter / 2
Total area = area of triangle ABD + area of triangle ACD
semi-perimeter of ABD = (3.48 + 8.66 + 8.6) / 2 = 10.37
semi-perimeter of ABD = (3.54 + 8.84 + 8.6) / 2 = 10.49
area of triangle ABD = sqrt(10.37 * (10.37-3.48) * (10.37-8.66) * (10.37-8.6))
area of triangle ABD = 14.7 sq. units
area of triangle ACD = sqrt(10.49 * (10.49-3.54) * (10.49-8.84) * (10.49-8.6))
area of triangle ACD = 15.08
Total area = 14.7 + 15.1
Total area = 29.8 sq. units
20 points!!! Answer: what is the Product of -2x^3 + x – 5 and x^3 – 3 x -4 (a) Show your work (B) is the product of -2^3 + x -5 and x^3 -3 x - 4 equal to the product of x^3 – 3 – 4 and -2x^3 + x – 5 ? explain your answer
Answer:
-2x^6 + 7x^4 + 3x³ - 3x² + 11x + 20
Step-by-step explanation:
(-2x³ + x - 5)(x³ - 3x - 4) = -2x^6 + 6x^4 + 8x³ + x^4 - 3x² - 4x - 5x³ + 15x + 20
= -2x^6 + 7x^4 + 3x³ - 3x² + 11x + 20
B is the same thing but switching which trinomial is written first.
Write a function rule for the table
х
f(x)
0
3
1
4
2
5
3
6
Answer:
f(x) = x +3
Step-by-step explanation:
The first differences for adjacent x-values are all 1, so this is a linear function. Because those differences are all 1, it is a linear function with a slope of 1. We observe that f(0) = 3, so that is the y-intercept.
__
The slope-intercept form of a linear function is ...
y = mx + b . . . . . where m is the slope (1) and b is the y-intercept (3).
A suitable function rule is ...
f(x) = x +3
trigonometry help got one right need help with another
Answer:
B. [tex] \frac{HI}{GI} [/tex]
Step-by-step explanation:
The trigonometric ratio formula for tangent of any angle in a right triangle is given as:
tan(θ) = [tex] \frac{opposite}{adjacent} [/tex]
Note: it is the length of the side opposite to the θ, and the length of the side adjacent to θ.
Thus, in the right triangle given, ∆GHI,
θ = <G
The length of side the opposite <G = HI
The length of the side adjacent to <G = GI
Therefore, the equivalent of tan(<G) = [tex] \frac{HI}{GI} [/tex]
The figure shows a cuboid with a square base of area 16 cm2
The area of the shaded face is 36 cm² What is the volume of the cuboid?
Answer
step by step explanation
volume=base area ×height
16 cm2 ×6=96cm2
Let X denote the block rate of the host hotel for a particular conference, and let Y denote the lowest room rate available in the host hotel outside of the conference block. For a conference that requires a two-night hotel stay, which one of the following expressions represents the least amount of discount on the conference registration fee that, according to the article, would be sufficient to deter conference attendees from employing the ROB strategy in choosing accommodations?
A. X+Y2X+Y2
B. X−Y2X−Y2
C. X−YX−Y
D. X+YX+Y
E. 2(X−Y)
Answer:
C. X-Y X-Y
Step-by-step explanation:
The question asks to identify the least amount of discount on the conference registration. If the registration discount is at least half of the possible saving of ROB then all attendees will stay within the block. X is the block rate and Y is the non block rate. The saving for staying two nights outside the block is 2 (X-Y)
guess what... I need more help again...!!1
Answer:
Associative Property of Multiplication
Step-by-step explanation:
Definition:
Changing the grouping of the factors, but does not change the value of the product.
Example:
(2x4)x6 = 2x (4x6)
Hope this helps!:)
Find the slope of the line passing through the points -4,-3 and 8,-9
Answer:
-3/4
Step-by-step explanation:
Slope = Rise/Run
Between -4 and 8, the line runs 12 units. Between -3 and -9, the line rises -9 units.
-9/12 = -3/4
Answer:
-3/4
Step-by-step explanation:
A physiological psychologist has performed an experiment to determine if a particular drug, smartozine, affects maze learning in rats. Three groups of 8 rats each are injected with one of three different doses of smartozine, while a fourth group of 6 rats is injected with a saline solution as a control. After the injection, rats in all four groups are timed in how long it takes them to learn to traverse a maze. The results of the experiment are presented below. Did smartozine affect how quickly the rats learned the maze. Use a level of significance of.05 SSB 610 SSW = 1742 What is the critical value of F for this situation?
Answer:
The critical value of F for this situation is 2.975.
Step-by-step explanation:
A test is being performed to determine if a particular drug, smartozine, affects maze learning in rats.
The groups are divided as follows:
Three groups of 8 rats each are injected with one of three different doses of smartozine.The fourth group of 6 rats is injected with a saline solution as a control.So, there were in total k = 4 groups with n = 30 rats.
The significance level of the test is, α = 0.05.
Compute the critical value of F as follows:
[tex]F_{\alpha, (k-1, n-k)}=F_{0.05, (4-1, 30-4)}=F_{0.05, (3,26)}=2.975[/tex]
*Use the F-table.
Thus, the critical value of F for this situation is 2.975.
The critical value of F for this situation has been 2.975.
The F value has been the statistical factor that has been used for the determination of the significance of the test.
The high F value has been the representation of the rejected null hypothesis, while the low F value represents the accepted hypothesis. The study that has been performed with the rats has:
Number of groups of rats = k = 4
Total number of rats = n = 30
The 0.05 significance test has been performed, thus the value of α has been 0.05.
The value of F can be given as:
Critical value = [tex]\rm F_\alpha_\;_,(_k_-_1,_n_-_k_)[/tex]
Substituting the values:
Critical value = [tex]\rm F_0._0_5,_(_4_-_1,_3_0_-_4_)[/tex]
Critical value = 2.975
Thus, the critical value of F for this situation has been 2.975.
For more information about the F value, refer to the link:
https://brainly.com/question/11566053
Number of minutes 1 2 3 4 5 6 7 8 9 10
Number of trainees 2 3 5 10 15 30 25 15 10 5
1.) use the data to draw a bar chart
Answer: please find the attached file for the graph.
Step-by-step explanation:
Number of minutes 1 2 3 4 5 6 7 8 9 10Number of trainees 2 3 5 10 15 30 25 15 10 5
Given that data set above, the time in minutes will be on the x axis while the number of trainees will be in the y axis.
In bar chart, the bars will not touch each other.
Please find the attached file for the solution and figure
A movie theater sells only two types of tickets: adult tickets for $20 each and student tickets for $12 each. One weekend, the theater sold 2,000 tickets for a total of $35,072. How many more adult tickets than student tickets were sold that weekend?
A) 768 B) 770 C) 772 D) 774
Answer:
adults tickets=1384
kids:616 tickets
1384-616= 768 tickets
Step-by-step explanation:
let x be adult tickets and y kids
x+y=2000 ⇒x=2000-y
20x+12y=35072 solve by substitute for x=2000-y
20(2000-y)+12y=35072
40000-20y+12y=35072
-8y=35072-40000
-8y=-4928
y=-4928/-8
y=616
x=2000-616
x=1384 tickets
check:
20(1384)+12(616)=35072 ( correct)
What is the difference between a matrix and a determinant?
Answer:
Step-by-step explanation:
A matrix is a set of numbers organized in rows and columns to represent the variables in a situation, and the determinant is used to find the inverse of a matrix which helps you solve for different variable values.
Answer: A matrix or matrices is a rectangular grid of numbers or symbols that is represented in a row and column format. A determinant is a component of a square matrix and it cannot be found in any other type of matrix. ... A determinant is a number that is associated with a square matrix.
Step-by-step explanation:
0.58333333333 as a whole number
7/12
Step-by-step explanation:
let x=0.583333..
multiply by powers of 10 to get repeated 3's only on the rights for two different multiples of x
1000x= 583.33
100x=58.33
50x= 525/900
=25x21/25x36
=21/36
=7/12
Find the value of x.
Answer:
x = 10
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
6*x = 12*5
6x = 60
Divide by 6
6x/6 = 60/6
x = 10
Answer:
[tex]\huge\boxed{x = 10}[/tex]
Step-by-step explanation:
According to chord-chord theorem:
(x)(6) = (5)(12)
6x = 60
Dividing both sides by 6
x = 10
Evaluate 5 - t/3 when t =12
Answer:
1
Step-by-step explanation:
Plug in t = 12 in the expression
[tex]5-\frac{t}{3}=5-\frac{12}{3}[/tex]
= 5 - 4/1
= 5 - 4
= 1
Answer:
[tex]\Huge \boxed{1}[/tex]
Step-by-step explanation:
[tex]\displaystyle 5-\frac{t}{3}[/tex]
The value of [tex]t[/tex] in the expression is 12.
Replace the [tex]t[/tex] variable with 12.
[tex]\displaystyle 5-\frac{12}{3}[/tex]
Evaluate the expression.
[tex]5-4[/tex]
[tex]1[/tex]
A beach is 7.3 miles wide and 30 miles long. If one inch of rain falls on this beach, how many cubic feet of rain fell in this area? Hint: convert units to feet first.
Answer:
Step-by-step explanation:
volume=7.3×1760×3×30×1760×3×1/12=73×176×90×440=508780800 ft³
Answer:
508,780,800 ft³ of rain
Step-by-step explanation:
In order to do the computation, we need to express all the given lengths in feet.
recall that 1 mile = 5280 feet
hence,
width = 7.3 miles = 7.3 x 5280 = 38,544 feet
length = 30 miles = 30 x 5280 = 158,400 feet
also recall that 1 inch = 1/12 feet
hence,
depth of rainfall = 1 inch = 1/12 feet
Volume of rain = width of beach x length of beach x depth of rainfall
= 38,544 x 158,400 x (1/12)
= 508,780,800 ft³ of rain
if it takes a half of a cup of oil to make 20 cookies how much oil is needed to make 5 cookies?? please help.
Answer:
We need 1/8 cup
Step-by-step explanation:
We can use ratios to solve
1/2 cup x cups
------------ = -----------------
20 cookies 5 cookies
Using cross products
5 * 1/2 = 20x
Divide each side by 20
5/2 * 1/20 = 20x/20
5/40 =x
1/8 =x
We need 1/8 cup
Answer:
Step-by-step explanation:
step 1: you know that 1/2 c of oil makes 20 cookies.
step 2: if you only have 1/4 c (half of 1/2 cup), then you can make 10 cookies.
Step 3: 1/8 c would make 5 cookies.
A highway measuring 90 feet x 7 feet requires 1/2 a fluid ounce of cleaning situation per square root how much cleaning situation is required to clean the hallway
Answer:
1260 ounce of the fluid.
Step-by-step explanation:
Dimension of hallway = 90 feet × 7 feet
Area of the hallway = 90 × 7
= 630 square feet
Given that 1/2 (0.5) of a fluid ounce is required per square foot, the amount of cleaning situation to clean the hallway can be determined as;
= [tex]\frac{area of hallway}{cleaning situation per foot}[/tex]
= [tex]\frac{630}{0.5}[/tex]
= 1260 ounce
The amount of cleaning situation required to clean the hallway is 1260 ounce of the fluid.
Please someone help me im desperate
Find Tan0 , csc0, and cos0 where 0 is the angle shown in the figure. Give EXACT values, not decimal approximations.
Answer:
1. Tan θ = √11/5
2. Cosec θ = 6√11 /11
3. Cos θ = 5/6
Step-by-step explanation:
Let the side opposite to angle θ be y.
The value of y can be obtained by using the pythagoras theory as follow:
b² = 6² – 5²
b² = 36 – 25
b² = 11
Take the square root of both side.
b = √11
1. Determination of Tan θ
Tan θ =?
Opposite = √11
Adjacent = 5
Tan θ = Opposite /Adjacent
Tan θ = √11/5
2. Determination of Cosec θ.
We'll begin by calculating the Sine θ. This is illustrated below:
Sine θ =?
Opposite = √11
Hypothenus = 6
Sine θ = Opposite /Hypothenus
Sine θ = √11/6
Now, we shall determine Cosec θ as follow:
Cosec θ = 1/Sine θ
Sine θ = √11/6
Cosec θ = 1 ÷ √11/6
Cosec θ = 1 × 6/√11
Cosec θ = 6/√11
Rationalise the denominator
Cosec θ = 6/√11 × √11/√11
Cosec θ = 6√11 /11
3. Determination of Cos θ.
Cos θ =?
Adjacent = 5
Hypothenus = 6
Cos θ = Adjacent / Hypothenus
Cos θ = 5/6
Can you match the teachers comments to the definitions?
Answer:
Sorry
Correct
Close
Step-by-step explanation:
Answer:
Ivy's definition will go with third comment, Ethan's definition will go with the first comment, hence, Ebuka's definition will go with the second comment.
Step-by-step explanation:
Please answer this question now
Answer:
30.9 cm²
Step-by-step explanation:
To find the surface area of this figure, we find the area of the base and the 3 identical sides.
The base is split into two identical right triangles. Let's find the area of one and multiply by two.
Half of 3: 1.5
[tex]1.5\cdot2.6=3.9\\3.9\div2=1.95[/tex]
There are two right triangles:
[tex]1.95\cdot2=3.9[/tex]
The area of one of the sides will be the same thing, except the height is 6.
[tex]1.5\cdot6=9\\9\div2=4.5\\4.5\cdot2=9[/tex]
There are 3 sides identical to this one:
[tex]9\cdot3=27[/tex].
Add 27 and 3.9:
[tex]27+3.9=30.9[/tex]
Hope this helped!
Answer:
30.9 square centimeters
Step-by-step explanation:
3 * 1/2(3)(6) + 1/2(3)(2.6) = 30.9
Jack got 76% of the questions correct on his math test.What is 76% written as a fraction in simplest form?
Answer:
19/25
Step-by-step explanation:
The probability of rain and hail during a storm is 16%. The probability of only rain is 78%. What is the probability of hail given that there is already rain?
Answer:
The answer is 20.5% .
Step-by-step explanation:
This is the answer because it is already raining. since it is already raining we take the 16% and divide that by what has already occured to get 20.5%
