Answer:
slope = 2.25
Step-by-step explanation:
This equation is written in slope-intercept form, which has the general structure: y = mx + b.
In this form, "m" = slope and "b" = y-intercept.
Therefore, the slope is 2.25 since it is replacing the "m" variable.
help please What is the simplest form of the expression representing this product?
x+10/x2+7x-18 * 3x2-12x+12/3x+30
Answer:
x-2
x+9
Step-by-step explanation:
Answer:
[tex]\frac{x-2}{x+9}[/tex]
Step-by-step explanation:
Factorizing Fraction 1
[tex]\frac{x+10}{x^{2}+7x-18 }[/tex][tex]\frac{x+10}{(x+9)(x-2)}[/tex]Factorizing Fraction 2
[tex]\frac{3x^{2} -12x+12}{3x+30}[/tex][tex]\frac{x^{2} -4x+4}{x+10}[/tex][tex]\frac{(x-2)^{2} }{x+10}[/tex]Now, multiply the fractions :
[tex]\frac{x+10}{(x+9)(x-2)}[/tex] × [tex]\frac{(x-2)^{2} }{x+10}[/tex][tex]\frac{x-2}{x+9}[/tex]The local animal shelter had 12 dogs at the beginning of the month. Since then, the number of dogs at the shelter has decreased by 75%. How many dogs are at the animal shelter today?
Answer:
3
Step-by-step explanation:
75% is equal to 3/4
The easiest way to do this is to divide 12 by 4.
12/4 = 3
Now multiply this by three to get 3/4 of 12.
3 x 3 = 9
9 dogs left the shelter.
12 - 9 = 3
There are three dogs left.
what is the volume of a cylinder, in cubic inches, with a height of 2 inches and a base diameter of 4 inches? Round to the neares tenths place
Answer:
V≈25.13in³
Step-by-step explanation:
Could you help me with this question, please?
Answer:
B) 1/4 gallon
Step-by-step explanation:
There is 5/8 in a jug
[tex]\sf \dfrac{5}{8}=\dfrac{2}{8}+\dfrac{1}{8}+\dfrac{1}{8}+\dfrac{1}{8}[/tex]
There are 3 jugs containing (1/8). To these jugs 1/8 of the juice from (5/8) is poured.
So, now all the jugs will have (2/8) = 1/4
Maya has savings of $40,000. She invests in a bond mutual fund that pays 5% interest each year. Ignoring compounding, what are Maya's total savings after 20 years?
Answer:50,000 x 0.04 x 20=40,000
The total saving after 20 years 50,000+40,000=90,000$
Jeremiah created a game where he flips a fair coin 3 times. Jeremiah wins the game if he flips heads at least 2 times. What are all the possible outcomes to win, based on the first two flips? What is the probability of winning, based on the first two flips? Move words and fractions to the table to answer the questions.
The probability of getting head at least two times will be 11%
What is probability?
Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The probability will be:-
Sample outcomes are { H,H,H,T,T,T}
Favourable outcomes are { H }
So the probability of getting at least two times head will be:-
P = ( 1 / 3 ) x ( 1 / 3 ) = 0.11 = 11%
Therefore the probability of getting head at least two times will be 11%
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Answer:
The other persons explaition was difficult
Step-by-step explanation:
. Carl bought one book for $3.95 and a second book for $4.95. What is his total cost? $9.90 $9.00 $8.90 $7.90
The Cost of Carl's first item is 3.95. The Cost of his second item is 4.95. To find the total amount we need to add these two numbers together.
3 plus 4 is 7
95 cents plus 95 cents is 1.90
7+1.90 is 8.90
The total cost is $8.90
Hope this helps!
21 slices from 3 cakes = 84 slices from cakes equivalent rates
Answer:
12 cakes.
Step-by-step explanation:
There are 21/3 = 7 slices from each cake.
84 / 7 = 12.
1/3x + 5 x= -6 need expression 1/3x = 5 is equal to __ when x = -6
Answer:
3
Step-by-step explanation:
To evaluate an expression with a particular value of the variable, put that value where the variable is and do the arithmetic.
__
1/3(-6) +5 = -2 +5 = 3
For x = -6, the value of the expression is 3.
Need help on this one please
Answer: y = -2x - 4
Step-by-step explanation:
This question asks that you give your answer in slope-intercept form, which is written as y = mx + b, where m is the slope, and b is the y-intercept.
In order to write an equation for this line in slope-intercept form, you need to find the slope and the y-intercept. You can find the slope by selecting any two clear points on the graph and finding the [change in y] ÷ [change in x].
For example, I’ll use (-3, 2) and (-2, 0):
Change in y: 2 - 0 = 2
Change in x: -3 - (-2) = -1
Change in y ÷ Change in x = 2 ÷ (-1) = -2
So, the slope, m, is -2. Finding b, or the y-intercept is a lot more straightforward; you just find where the line intercepts the y-axis, or when x = 0. Looking at the graph, we can see that the y-intercept is -4, so b = -4.
Now, we can put these together in an equation.
y = mx + b, where m = -2 and b = -4
y = -2x -4
A survey of 100 students was taken. It was found that 60 students watched sports, and 34 of these
students did not like pop music. or the students who did not water sports, 70% liked pop music.
Complete the two-way frequency table.
Answer:
[tex]\left[\begin{array}{ccc}38&28&66\\22&12&34\\60&40&100\end{array}\right][/tex]
Step-by-step explanation:
70% of 40 is 28, with that number you can obtain the other data.
What I got is in the image below.
I got the rest of the numbers by subtracting and adding. I also managed to find the 70% by multiplying 40 (I subtracted 60 and 100 to get the total number of people who don't watch sports) by 0.7, getting that 28 of people who don't watch sports liked pop music. From there, getting the rest of the numbers is just a whole lot of adding and subtracting. I subtracted 60 and 34 to get the number of people who watch sports and like pop, which is 26. I also added 26 and 28 to get the total of people who like pop, which is 56. To get 46 for total number of people who don't like pop, I subtracted 40 and 28 which equals 12 (number of people who don't watch sports but don't like pop), then added 34 + 12 to get 46.
Hannah purchased a box of greeting cards with assorted designs. The box contains four cards of each design: daisies, sunflowers, lilies, birds, puppies, butterflies, dolphins, and landscapes. She selects one card at random from the box.
Calculate the following probabilities.
selecting a card with a sunflower or butterfly design
selecting a card with a lily, daisy, puppy, or bird design
selecting a card with a landscape design
selecting a card with a dolphin, sunflower, or landscape design
selecting a card with a bird or puppy design
Now, determine the events that have the highest and lowest probabilities and graph the values on the number line
The probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total outcomes = 4×8 = 32 (because 4 cards of 8 design)
The probability of selecting a card with a sunflower or butterfly design:
= 4/32 + 4/32
= 8/32 = 1/4
The probability of selecting a card with a lily, daisy, puppy, or bird design:
= 4(4/32)
= 1/2
The probability of selecting a card with a landscape design:
= 4/32 = 1/8
The probability of selecting a card with a dolphin, sunflower, or landscape design:
= 3(4/32)
= 3/8
Similarly, we can calculate the rest of the probability.
Thus, the probability of selecting a card with a sunflower or butterfly design is 1/4, and the probability of selecting a card with a lily, daisy, puppy, or bird design is 1/2.
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Hello everyone!!
This is easy;
[tex] \frac{5x}{2} + \frac{9}{5} = 25[/tex]
[tex] \frac{5x}{2} + \frac{9}{5} = 25 \\ \frac{25x + 18}{10} = 25 \\ 25x + 18 = 250 \\ \frac{250 - 18}{25} = x \\ x = \frac{232}{25} [/tex]
hope it helps
Please refer to the attachment
Please help me do this question genius minds
[tex]\text{Given that,}\\\\\theta =\tan^{-1} \left(\dfrac y x \right)\\\\\\\dfrac{\partial \theta}{\partial x} = \dfrac{\partial }{\partial x} \tan^{-1} \left(\dfrac yx \right)\\ \\\\~~~~~~=\dfrac{1}{1 +\tfrac{y^2}{x^2}} \cdot y \dfrac{\partial }{\partial x} \left(\dfrac 1x \right)\\\\\\~~~~~~=\dfrac{yx^2}{x^2 +y^2} \cdot (-1)x^{-2}\\ \\\\~~~~~~=-\dfrac{yx^2}{x^2(x^2 +y^2)}\\\\\\~~~~~~=- \dfrac{y}{x^2 +y^2}\\\\\\[/tex]
[tex]\dfrac{\partial^2\theta}{ \partial x^2} = -\dfrac{\partial }{ \partial x} \left( \dfrac{y}{x^2+y^2} \right)\\\\\\~~~~~~=-y\dfrac{\partial}{\partial x} \left(\dfrac 1{x^2 +y^2} \right)\\\\\\~~~~~~=y (-1)(-1) (x^2 +y^2)^{-2} \dfrac{\partial }{\partial x}(x^2 +y^2)\\\\\\~~~~~~=\dfrac{y}{(x^2 +y^2)^2} \cdot (2x+0)\\\\\\~~~~~~=\dfrac{2xy}{(x^2 +y^2)^2}[/tex]
[tex]\text{Similarly,}~~\\ \\\dfrac{\partial \theta}{\partial y }= \dfrac{x}{x^2 +y^2}\\\\\\\dfrac{\partial^2 \theta}{\partial y^2 } = -\dfrac{2xy}{(x^2 +y^2)^2}\\\\\\\text{Now,}\\\\\dfrac{\partial^2 \theta}{\partial x^2 }+\dfrac{\partial^2 \theta}{\partial y^2 }\\\\\\=\dfrac{2xy}{(x^2 +y^2)^2} -\dfrac{2xy}{(x^2 +y^2)^2}\\\\\\=0[/tex]
Determine which of the following statements is true concerning the values described in column #1 and column #2.
Column #1
The x-coordinate of the vertex of the graph of y = −2x2 − 4x + 12
Column #2
The x-coordinate of the vertex of the graph of y = x2 − 4x + 3
A. The value found in column #1 is greater than the value found in column #2.
B. The value found in column #1 is less than the value found in column #2.
C. The value found in column #1 is equivalent to the value found in column #2.
D. The relationship between column #1 and column #2 cannot be determined by the information given.
The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree
The equation of curve 1, which is in the shape of a parabola is, when represented in general form
[tex]y = -2x^2 - 4x + 12\\\\y = -2(x^2 - 2x + 6)\\\\\dfrac{y}{-2} = (x^2 - 2x + 6)\\\\\dfrac{y}{-2} +7=(x+1)^2[/tex]
So,
x+1=0
x= -1
and,
y = 14
Therefore, the Coordinate of a vertex is (-1,14).
The x-coordinate of the vertex of the function [tex]y = -2x^2 - 4x + 12[/tex] is equal to -1.
The equation of curve 2 , which is in the shape of a parabola is , when represented in general form
[tex]y = x^2 - 4x + 3\\\\y =( x-2)^2-1\\\\y+1 =( x-2)^2[/tex]
So,
x-2=0
x= 2
and, y+1=0
y= -1
Therefore, the Coordinate of a vertex is (2,-1).
The x-coordinate of the vertex of the function [tex]y = x^2 - 4x + 3[/tex] is equal to 2.
The following statements are true concerning the values described in columns #1 and column #2. B. The value found in column #1 is less than the value found in column #2.
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one third of a number y is 2
Answer:
y = 6
1/3 indicates that we may have to multiply the number by 3 to get the whole number. Multiply 3 by the part given, 2.
3 × 2 = 6
A submarine begins 300 feet below sea level. It makes four moves of 30 feet each
toward the surface. How many more feet does the submarine need to move to reach
the surface?
Answer:
180 feet
Step-by-step explanation:
Starting number is 300. Four moves of 30 feet is 120 feet.
30x4 = 120
300-120 = 180
Answer:
180 feet.
Step-by-step explanation:
Remark
You need some formal way of expressing what is happening. You start at 300 feet below sea level, and make make 4 moves of 30 feet each. Where are you and how much further do you have to go to reach the surface?
Equation
Distance to go = distance in feet below sea level - number of moves * feet / move.
Givens.
original distance below sea level = 300 feet.
number of moves = 4
distance towards the surface for each move = 30 feet.
Distance to go. = ?
Solution
Distance to go = 300 - 4*30
Distance to go = 300 - 120
Distance to go = 180 feet
Please help me with this really need the answer please
The question is attached.
Answer:
The correct answer is 1/4 gallon.
Step-by-step explanation:
If we add all the fractions from the line plot, we will get 10/8 gallon.
10/8 divided by 5 is .25.
.25 converted to a fraction would be 1/4.
Hope this helps:) Goodluck!
Workers Inc. just bought 12 boxes of pens to put in their storage room for employees to use as needed. Each box contains 35
pens. If each of the 25 employees working for Workers Inc. takes 3 pens when they are first brought into the office, how many pens
will be left in the storage room?
A. 417
B. 395
C. 345
D.195
Answer:
C. 345Step-by-step explanation:
first you multiply 25 and 3. and get 75next multiply 12 and 35. and get 420
finally subtract the two and get 345
Analyze the diagram below and answer the question that follows how much larger is the value for d X then the value of y
[tex]\sf \large \boxed{110 ^\circ}[/tex]
The Image given shows (vertically opposite angles) :1st equation: x + 2y = 502nd equation: x - 2y = 130Make x the subject in first equation:x + 2y = 50x = 50 - 2yInsert this in second equation:(50 - 2y) - 2y = 13050 - 2y - 2y = 130-4y = 130 - 50-4y = 80y = -20Find the value of x:x = 50 - 2yx = 50 - 2(-20)x = 90Difference between them:x - (y)90 - (-20)110Please help! 100points! A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.
an = 2(an − 1 + 4) and a1 = 5 (the n and n-1 is suppose to be a subscript, I just can't figure out how to make it like that)
Answer:
5, 18, 44, 96, 200
Step-by-step explanation:
Given
aₙ = 2(aₙ₋₁ + 4)a₁ = 5First term : 5
Second term : a₂ = 2(a₁ + 4)
a₂ = 2(5 + 4) = 2(9) = 18Third term : a₃ = 2(a₂ + 4) = 2(18 + 4) = 2(22) = 44
Fourth term : a₄ = 2(a₃ + 4) = 2(44 + 4) = 2(48) = 96
Fifth term : a₅ = 2(a₄ + 4) = 2(96 + 4) = 2(100) = 200
Hence, the first 5 terms of the sequence are :
5, 18, 44, 96, 200Answer:
5, 18, 44, 96, 200
Step-by-step explanation:
[tex]\textsf{Given sequence}: \quad a_n=2(a_{n-1}+4)[/tex]
[tex]\textsf{Given first term}: \quad a_1=5[/tex]
[tex]\implies a_1=5[/tex]
[tex]\implies a_2=2(a_{1}+4)=2(5+4)=2(9)=18[/tex]
[tex]\implies a_3=2(a_{2}+4)=2(18+4)=2(22)=44[/tex]
[tex]\implies a_4=2(a_{3}+4)=2(44+4)=2(48)=96[/tex]
[tex]\implies a_5=2(a_{4}+4)=2(96+4)=2(100)=200[/tex]
What is the next step?
Answer: Subtract
Step-by-step explanation: Subtract 237 from 224.
Answer:
74. 25
Step-by-step explanation:
After dropping the 224 you're going to subtract it from 237 which equals 13. With that said, you're going to bring down the 6. From there, it would be 136 divided by 32 which is 4.25. So you're answer is 74 with a remainder of 25.
a number 1-72 is chosen at random find each probability
P( multiple of 9)
The selection of a random number from 1 - 72 is an illustration of probability, and the probability of selecting a multiple of 9 is 1/8
How to determine the probability?The sample size is given as:
n = 72
There are 8 multiples of 9 from 1 to 72.
So, the probability that a multiple of 9 is selected is:
P(Multiple of 9) = 8/72
Simplify
P(Multiple of 9) = 1/9
Hence, the probability of selecting a multiple of 9 is 1/8
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How to multiply problem in photo?
_____
yStep-by-step explanation:
The sum of Two numbers is 9. The
sum of the squares of the numbers is
41. Find the numbers.
Answer:
4 and 5
Step-by-step explanation:
Assuming your 2nd sentence should be: "The sum of the squares of the two numbers is 41"
X + Y = 9 {equation 1}
X² + Y² = 41 {equation 2}
from equation 1: y = 9-x
Substitute that into equation 2
x² + (9-x)² = 41
x² + 81 - 18x + x²= 41
2x² - 18x + 40 = 0
We can factor out a 2
x² - 9x + 20 = 0
(x-5)(x-4) = 0
x = 5 or 4
checking
Your two numbers are 4 and 5
4² + 5²
= 16 + 25
= 41
Angie read 2 books in 5 days, and each book contained 340 pages. If Angie read the same number of pages each day, how many
pages did she read per day?
A. 75
В.340
C.136
D. 680
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canvas instructure...
Which point in the coordinate plane represents the location of the ordered pair
(3.75,-2.25)?
K
M
any help?
A : Point M
B : Point N
C : Point L
D : Point K
Wendy’s Big Bacon Classic contains how many calories after calculating the
nutrients below?
44 grams Carbohydrate= 44×4 =176_ Calories
36 Grams of Fat= 36×9 = 324 _ Calories
37 Grams of Protein= 37×4 =_148__ Calories
4. What is the percentage of total calories that come from fat in question 3?
Fat Calories:__________
% of Total Calories _________
help with number 4 please and explain it goes with the top answer
Answer:
Fat Calories: 342
50% of Total Calories
Step-by-step explanation:
Total calories:
Carbohydrates:
176
Fat:
324
Protein:
148
Total:
176+324+148=648
648/342 = 2
Meaning that half of the calories come from fat.
Rewrite using the Distributive Property and GCF 13+36
Answer:
13(1+2)
Step-by-step explanation:
13(1)+13(2)=13+26
The GCF of 13, 26 is 13.
