Answer:
The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. Yes it also matter because x axis go sideways and the y axis goes up and down. Hope this helps
Answer:
The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.
Step-by-step explanation:
• Kiana goes to the library. She borrows 5 books about planets
and 2 books about dinosaurs. How many books does Kiana
borrow in all?
• What is the unknown in this problem?
number of books about planets
number of books about dinosaurs
number of books in all
Answer:
1. The total is the unknown which is 7
5 books about planet
2 books about dinosaurs
7 number of books in all
Number of books about planets is 5, Number of books about dinosaurs is 2, and Number of books in all is 7.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Kiana goes to the library.
The number of books Kiana borrow about planets is 5 books.
The number of books Kiana borrow about dinosaurs is 2 books.
we need to find the number of books bought in all.
We need to add the books.
5 books + 2 books
7 books.
Number of books about planets is 5.
Number of books about dinosaurs is 2.
Number of books in all is 7.
Hence, Number of books about planets is 5, Number of books about dinosaurs is 2, and Number of books in all is 7.
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Simplify the radical expression.
Answer:
9√3
Step-by-step explanation:
√(81*3)
√81*√3
9√3
a botanist is monitoring the growth of a young tree and notices it is growing linearly. In fact, she realizes it is growing 3 inches every week. Unfournately , she forgot to begin recording until well into the growing process. what she does know is that it is currently week 17 and the tree is currently 4 feet and 8 inches tall. use the info. to model the situation with an equation in point slope form sliplify the equation to slope intercept form how tall was the seedling of the tree when the botanist received it? how tall with the tree be on week 30?
Answer:
1) The equation in point and slope form is y - 56 = 3·(x - 17)
2) The above equation in slope and intercept form is y = 3·x + 5
3) The height of the sidling when the botanist received it = 5 inches
4) The height of the tree on week 30 = 7 feet 11 inches
Step-by-step explanation:
The given parameters for the equation are;
The rate of growth of the young tree = 3 inches/week
The current height of the tree = 4 feet 8 inches = 56 inches
The current time since start of growth (time duration of growth) = 17 weeks
With the given information, we have;
The height of the tree, y = The dependent or y-variable
The time for the growth, x = The independent or x-variable
The slope = the rate of growth = 3 inches/week
At week, x = 17, y = 56 inches
1) The information presented in point and slope form is given as follows;
y - 56 = 3·(x - 17)
2) Simplifying the above equation to slope and intercept form, y = mx + c
Where;
m = The slope
c = The y-intercept
We have;
y = 3·x - 51 + 56 = 3·x + 5
y = 3·x + 5
Therefore the y-intercept = 5
3) The y-intercept = 5 which gives the value of the height of the tree at time x = 0 as follows;
At x = 0 when the tree was first received, the height of the tree, y = 3·x + 5 = 5 inches
4) On week 30, the height, y of the tree will be, y = 3 × 30 + 5 = 95 inches = 7 feet 11 inches.
Janet made 75 more cookies to sell at the
bake sale than Kathy. If Janet and Kathy
made 325 cookies altogether, how many
cookies did Janet make?
Answer:
200
Step-by-step explanation:
Janet = x + 75
Kathy = x
2x + 75 = 325
2x = 325 - 75
2x = 250
x/Kathy = 125
x + 75/Janet = 125 + 75
= 200
Evaluate 3|-4| -12 12 4
Answer: 12
Step-by-step explanation: In this problem,
we first determine the absolute value of -4.
The absolute value of -4 is 4 so we have 3(4) which is 12.
Tap on the photo pls help
Answer:
49
Step-by-step explanation:
5^2 - 4(-3)(2)
5^2 - 4(-6)
25 - 4(-6)
25 - (-24)
49
Hope this helps!
49
25+24
you square 5 which is 25 than multiply -3 and 2 which is -6 than multiply by four
what is 7 x 4 pleez i nid help
Answer:
28
Step-by-step explanation:
if you do 7 + 7 + 7 + 7 that equals 28.
need help with this asap, please
Answer:
Perimeter = 3√5 + 6 + √73 + √58 + 5√2Step-by-step explanation:
[tex]AB=\sqrt{(6-0)^2+(5-8)^2}=\sqrt{36+9}=\sqrt{45}=3\sqrt5\\\\BC=|-1-5|=|-6|=6\\\\CD=\sqrt{(-2-6)^2+(-4-(-1))^2}=\sqrt{64+9}=\sqrt{73}\\\\DE=\sqrt{(-5-(-2))^2+(3-(-4))^2}=\sqrt{9+49}=\sqrt{58}\\\\EA=\sqrt{(0-(-5))^2+(8-3)^2}=\sqrt{25+25}=\sqrt{25\cdot2}=5\sqrt2[/tex]
dan rented a truck for one day. there was a base fee of $15.88, and there was an additional charge if 78 cents for each mile driven. dan had ti pay $247.65 when he returned the truck. for how many miles did he drive the truck?
Answer:
297 miles
Step-by-step explanation:
cost = 0.78 cents per mile + base fee
y = 0.78x + 15.88
247.65 = 0.78x + 15.88
subtract 15.88 from both sides
231.77 = 0.78x
divide by 0.78 on both sides
x = 297.14120256
297 miles
Answer:
297.1410256 = m
Step-by-step explanation:
charge = 15.88 + .78m where m is the miles driven
247.65 = 15.88 + .78m
Subtract 15.88 from each side
247.65-15.88 = .78m
231.77 = .78m
Divide each side by .78
231.77/.78 = m
297.1410256 = m
Set G is the set of positive integers divisible by 4 and Set F is the set of perfect
squares. List the first 5 elements of set H, which contains numbers in G that are
also elements of F.
Greetings from Brasil...
G = {4; 8; 12; 16; 20; 24; 28; 32; 36; 40; 44; 48; 52; 56; 60; 64; 68; 72; 76; 80; 84; 88; 92; 96; 100; 104; ...}
F = {1; 4; 9; 16; 25; 36; 49; 64; 81; 100; ...}
So, according to the statement, it is desired:
G ∩ F - the intersection between the 2 sets, that is, which numbers are present simultaneously in the 2 sets....
Looking at the sets we conclude that
G ∩ F = {4; 16; 36; 64; 100}OBS: note that in truth G are the multiples of 4
PLEASE ANSWER QUICK Part A: If (62)x = 1, what is the value of x? Explain your answer. (5 points) Part B: If (60)x = 1, what are the possible values of x? Explain your answer. (5 points)
Answer:
The first one is 0, the second one is ARN (All real numbers)
Step-by-step explanation:
1. Anything raised to the "zeroth" power is always 1
2. Because 7 is being raised to the zeroth power, the number inside the parentheses becomes 1. Now x can equal anything, 1 times itself will always equal 1, no matter how many times you multiply them.
Equations can have one, zero or infinitely many solutions.
a: The value of x is 0b: x has infinitely many solutions[tex](a)\ (6^2)^x = 1[/tex]
Express 1 as [tex]6^0[/tex]
[tex](6^2)^x = 6^0[/tex]
Express 0 as 2 x 0
[tex](6^2)^x = 6^{2 \times 0}[/tex]
Open the bracket
[tex]6^{2 \times x} = 6^{2 \times 0}[/tex]
Cancel out 6 on both sides
[tex]2 \times x =2 \times 0[/tex]
Divide both sides by 2
[tex]x =0[/tex]
Hence, the value of x is 0
[tex](b)\ (6^0)^x = 1[/tex]
Express [tex]6^0[/tex] as 1
[tex]1^x = 1[/tex]
Express [tex]1^x[/tex] as 1
[tex]1 = 1[/tex]
Both sides of the equation are the same
This means that:
x has infinitely many solutions
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5. (01.07)
Solve 3x - x + 2 = 12. (1 point)
Answer:
x = 5
Step-by-step explanation:
Simplify. First, combine like terms:
3x - x + 2 = 12
(3x - x) + 2 = 12
(2x) + 2 = 12
2x + 2 = 12
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
& is your order of operation.
First, subtract 2 from both sides:
2x + 2 (-2) = 12 (-2)
2x = 12 - 2
2x = 10
Next, divide 2 from both sides:
(2x)/2 = (10)/2
x = 10/2
x = 5
5 is your answer for x.
Check: Plug in 5 for x in the equation. Solve:
3(5) - (5) + 2 = 12
15 - 5 + 2 = 12
10 + 2 = 12
12 = 12 (True)
~
Answer:
x = 5
Step-by-step explanation:
Combining like terms, we get 2x = 10. Dividing both sides by 2 yields
x = 5
fifteen hours is what part of the day. Write the answer as a fraction in simpliest form
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
There are 24 hours in 1 day, thus 15 hours is
[tex]\frac{15}{24}[/tex] = [tex]\frac{5}{8}[/tex] of a day in simplest form
need done asap
what property justifies the statement below if a =2z and 2z=b then a = b
1. reflexive property
2. transitive property
3. substitution property
4. symmetric property
Answer:
transitive property
Step-by-step explanation:
According to transitive property, if there is some relation between a and b by some rule , and then there same relation between b and c by some rule, then
A and C are related to each other by some rule.
Example:
A = B
B=C
then by transitive property
A=C
As value of A and C are same that is B we can say that A is equal to C whose value is B.
_______________________________________________
Given
a =2z and 2z=b
here both c and b has value equal to Z , Thus, they follow transitive property.
Plz help ASAP Will mark u brainliest
Answer:
60 square feet
Step-by-step explanation:
area= length*width
a=5*12
a=60
Answer: 60 ft²
Step-by-step explanation: To find the area of the rectangular bedroom wall, we use the formula for the area of a rectangle, A = lw.
Since the length of the rectangle is 12 feet and the width of the rectangle
is 5 feet, we plug this information into the formula for length and width
and we have (12 ft)(5 ft) which simplifies to 60 ft².
So the area of the rectangular bedroom wall is 60 ft².
Find the next three terms of each sequence. 2, -3, -8, -13
Answer:
-18, -23, -28
Step-by-step explanation:
It looks like it is going down by -5
-18, -23, -28. Just subtract by 5 every time
Mike bought an MP3 player for $150. The sales-tax rate was 8 percent. How much sales tax did he pay on the MP3 player?
Answer:
12%
Step-by-step explanation:
Cost Price of the MP3 player =$150
Sales Tax = 8 %
Total sales tax= Tax * Cost Price
= [tex]\frac{8}{100} * 150[/tex]
=12%
He payed a total of 12% sales tax
Two positive consecutive numbers are represented by x and x+1. If four is added to the first
number and two is subtracted from the second number, the quotient of the new numbers is
Determine the numbers algebraically.
Answer:
x and x+1
Step-by-step explanation:
x+4
x+1-2=x-1
So the quotient of the numbers is x+4/x-1
Find the approximate side length of a square game board with an area of 179in ^2.
Area of a square game board = 179 inches ²
To be calculated:-Calculate the side of given square game board.
Formula applied:-Area of square = ( Side )²
Solution:-We know that,
Area of square = ( Side )²
★ Substituting the value in the above formula, we get :
=> 179 = ( Side )²
=> Side = √179
=> Side = 13.37 inches ( approx )
Answer:
13.38 in
Step-by-step explanation:
The area of a square can be found using the following formula.
[tex]a=s^2[/tex]
where a is the area and s is the side length.
We know that the area of the square is 179 in^2. We can substitute that value in for a.
[tex]179 in^2=s^2[/tex]
We want to find the side length. Therefore, we have to isolate the variable, s.
s is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.
[tex]\sqrt{179 in^2}=\sqrt{s^2}[/tex]
[tex]\sqrt{179 in^2}=s[/tex]
[tex]13.3790882 in =s[/tex]
We want to find the approximate side length. Round to the nearest hundredth. The 9 in the thousandth place tells us to round the 7 to a 8,
[tex]13.38 in= s[/tex]
The side length of the board game is about 13.38 inches.
Three Bells toll at regular interval of 15 minutes 16 minutes and 36 minutes respectively given that they toll together at at 2 o'clock p.M. At what time will they next toll together
Answer:
They will next toll together at 2 o'clock A.M.
Step-by-step explanation:
Given
Three Bells toll at regular interval of 15 minutes 16 minutes and 36 minutes respectively
They will ring together after time which will be LCM of 15, 16 and 36 minutes.
lets find LCM of 15,16,36
15 = 3*5
16 = 2*2*2*2 = 2^4
36 = 2*2*3*3 = 2^2 * 3^2
LCM is found by taking the highest power of each prime factor
highest powered value of prime factors 2,3 and 5 is
5 is 5
2 is 2^4
3 is 3^2
thus, LCM = 2^4*3^2*5 = 16*9*5 = 720
Thus, they will ring together after 720 minutes
now
60 minutes = 1 hour
1 minutes = 1/60 hour
720 minutes = 720/60 hour = 12 hour.
Given that they rang together at 2 o'clock p.M
they will ring together after 12 hours at 2 PM
2 PM + 12 hours = 2 AM
Thus,
They will next toll together at 2 o'clock A.M.
Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity of the object (in feet per second), s0 represents the initial height of the object (in feet), and t represents the time (in seconds), as the model for the problem. s = −16t2 + v0t + s0 An aircraft flying at 900 feet over level terrain drops a supply package.
(a) How long does it take until the supply package to strike the ground? (Round your answer to three decimal places.) t = sec
(b) The aircraft is flying at 158 miles per hour. How far does the supply package travel horizontally during its descent? (Round your answer to one decimal place.) ft
Answer:
(a) 7.5 seconds
(b) The horizontal distance the package travel during its descent is 1737.8 ft
Step-by-step explanation:
(a) The given function for the height of the object is s = -16·t² + v₀·t + s₀
The initial height of the object s₀ = 900 feet
The initial vertical velocity of the object v₀[tex]_y[/tex] = 0 m/s
The time it takes the package to strike the ground is found as follows;
0 = -16·t² + 0×t + 900
900 = 16·t²
t² = 900/16 = 62.25
t = √62.25 = 7.5 seconds
(b) Given that the horizontal velocity of the package is given as 158 miles/hour, we have
158 miles/hour = 231.7126 ft/s
The horizontal distance the package covers in the 7.5 second of vertical flight = 231.7126 ft/s × 7.5 s = 1737.8445 feet = 1737.8 ft to one decimal place
The horizontal distance the package travel during its descent = 1737.8 ft.
4a^2-20a+24+6y-9y^2
Answer:
4a^2-20a+24+6y-9y^2
Step-by-step explanation:
The expression 4a^2-20a+24+6y-9y^2 can't be simplified further since the terms in this expression are unlike terms
Hope this helps ;) ❤❤❤
The Turners want to carpet the cement around their rectangular pool. The dimensions for the rectangular area formed by the pool and its cement walkways are 20 ft by 30 ft. The pool is 12 ft by 24 ft. Carpet is sold only by the square foot. If the carpet costs $1.95 per square foot, what will be the total cost of the carpet?
Answer:
$1,170
Step-by-step explanation:
Area around the pool = 20 x 30
Pool = 12 x 24
Carpet is sold $1.95 by square foot
Use formula A = bh
Plug it in: A = 20 x 30
So they need 600 sq ft of carpet.
Multiply 600 by 1.95 to get 1170
The total cost = $1,170
Answer:
$608.40
Step-by-step explanation:
Dimensions of pool: 12 ft by 24 ft
Dimensions of pool & cement walkways: 20 ft by 30 ft
The pool is a rectangle that sits inside the walkways. The area of the walkways (AW) is the area of the pool & walkways (the 20 ft by 30 ft rectangle) minus the area of the the pool (the 12 ft by 24 ft rectangle). Once we know the area of the just the walkways (AW), we multiply it by the price of the carpet too find the cost of the carpet.
area of walkways = area of pool & walkways - area of pool
AW = 20 ft * 30 ft - 12 ft * 24 ft
AW = 600 ft^2 - 288 ft^2
AW = 312 ft^2
The area of the walkways alone is 312 ft^2. Now we multiply it by the unit cost of carpet to find the cost of the carpet needed for the walkways.
cost = AW * unit rate
cost = 312 ft^2 * $1.95/ft^2
cost = $608.40
In the problem 12 - 16, what number is negative? *
Answer:
[tex]-16[/tex]
Step-by-step explanation:
[tex]12-16[/tex]
We can first look at the number that is higher.
[tex]16[/tex]
16 is negative because it is the number that is higher and is being subtracted from 12.
So your answer is
[tex]-16[/tex]
A cube and a square pyramid were joined to form the composite solid. A cube with side lengths of 12 inches. A square pyramid with triangular sides with a height of 9 inches. What is the total surface area of the composite solid? 792 square inches 936 square inches 1,080 square inches 1,152 square inches P.S. Yes, I know 100 points, i'm pretty generous, lol
Answer:
total surface area = 936 in²
Step-by-step explanation:
total surface area = surface area of the pyramid + surface area of the cube
1. surface area of the pyramid = 4 * area of lateral triangle side
area of lateral triangle side = 12 * 9 /
area of lateral triangle side = 54 in²
2. surface area of the pyramid = 4 * 54
surface area of the pyramid = 216 in²
3. surface area of the cube = 5 * (12 x 12)
-surface area of the cube = 720 in²
therefore, the total surface area = 216 in² + 720 in²
total surface area = 936 in²
Answer:
C
Step-by-step explanation:
Please refer to the given picture (sorry, it's a rather bad drawing.)
Anyways, we know that the cube has side lengths of 12. Since the figure is a cube, all the side lengths are 12. Let's find the surface area of the cube first.
The cube has six faces. However, we only need to do five faces because one of the faces is the face that connects the cube to the pyramid. Because of this, we won't count it towards the surface area. Therefore, the total surface area of the cube would be:
[tex]5(bh)[/tex]
The bh represents the area of one face. The five multiplies that amount by five, giving us the surface area of the cube. Plug in 12 for the base and 12 for the height:
[tex]5(12)(12)=5(144)=720[/tex]
Therefore, the surface area of the cube (excluding one face) is 720 square inches.
Now, find the surface area of the square pyramid. The square pyramid is composed of four congruent triangles and one square base. Again, since the square base is connecting it to the cube, we won't count it. So, we only need to find the area of the four triangles and then add it to 720.
We are given that the height of the pyramid is 9. The base of all four triangles is 12 (since the side length of the cube is 12). However, to find the area, we first need to use the Pythagorean Theorem to determine x or the actual height of one of the triangles. We won't use 9 as the height because the 9 doesn't represent the height of the triangle, but rather of the pyramid. x is essentially the hypotenuse here. Thus:
Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
Plug in 9 for a, 12 for b, and x for c:
[tex]9^2+12^2=x^2\\x^2=81+144=225\\x=\sqrt{225}=15[/tex]
Therefore, the height of the triangles is 15. Now, we can use the area formula for triangles:
[tex]A=\frac{1}{2} bh[/tex]
The base is 12 and the height is 15. Thus:
[tex]A=\frac{1}{2}(12)(15)=6(15)=90[/tex]
And there are four of them, so the total surface area is:
[tex]4(90)=360[/tex]
Therefore, the total surface area of the composite figure (excluding the one face) is:
[tex](720+360)=1080\text{ in}^2[/tex]
A 12-pack of Cokes costs $5.40. How much does each Coke cost?
Answer:
$0.45
Step-by-step explanation:
$5.40/12 = $0.45
If A 12-pack of Cokes costs $5.40 then each Coke costs $0.45.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b.
Given that,
Cost of 12- pack of Cokes = $5.40.
To find the cost of one Coke cost,
Use ratio property,
12 packs of cakes = $5.40
1 pack of cakes = 5.40/12
1 pack of cake = 0.45
The price of one pack of cake is $0.45
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Please solve: 8n+2≤8n−9! Show your work please!
The F-ratio increases as _________. the variability between means increases relative to the variability within groups the variability between means decreases relative to the variability within groups the total variability increases the total variability decreases
Answer: variability between means increases relative to the variability within groups
Step-by-step explanation:
The formula to calculate F-ratio : variance between groups divided by variance within groups
Here, F-ratio [tex]\propto[/tex] is proportional to variance between groups but inversely proportional to variance within groups .
So, F-ratio increases when variability between means increases relative to the variability within groups.
I don't understand by when it's saying the cost of the amount of lemonade cups and advertising
Suppose the following facts to be true: $\bullet$ The probability of a random kindergartener having chicken pox at any given time is $2\%$. $\bullet$ Among kindergarteners who have chicken pox, $75\%$ have red spots. $\bullet$ Among kindergarteners who do not have chicken pox, $1\%$ have red spots. Given that Sanjay, a kindergartener, has red spots, what is the probability that Sanjay has chicken pox? Enter your answer as a fraction in simplified form.
Question
Suppose the following facts to be true: The probability of a random kindergartener having chicken pox at any given time is 2%. Among kindergarteners who have chicken pox, 75% have red spots. Among kindergarteners who do not have chicken pox, 1% have red spots. Given that Sanjay, a kindergartener, has red spots, what is the probability that Sanjay has chicken pox? Enter your answer as a fraction in simplified form.
Answer:
75/124
Step-by-step explanation:
This is a question based on conditional Probability
We would solve this using Bayes's Theorem of Conditional Probability
From the above question, we have the following information:
The probability of a random kindergartener having chicken pox at any given time is 2%.
Hence, the probability that a kindergartner would not have chicken pox
= 100% - 2%
= 98%
Kindergarteners who have chicken pox, 75% have red spots.
Kindergarteners who do not have chicken pox, 1% have red spots.
The Sanjay, a kindergartener, has red spots, the probability that Sanjay has chicken pox is calculated as:
= (Probability of a random kindergartener having chicken pox at any given time ⋂ Probability of kindergarteners who have chicken pox, and have red spots)/ [(Probability of a random kindergartener having chicken pox at any given time ⋂ Probability of kindergarteners who have chicken pox, and have red spots) + (Probability Kindergarteners who do not have chicken pox and have red spots ⋂ Probability that a kindergartner would not have chicken pox)
= (2% × 75%)/[(2% × 75%) +( 1% × 98%)]
= 150/150 + 98
= 150/248
= 75/124