I don't know this questions so pls help
Answer:
The distance between the two points is 6.3 units
Step-by-step explanation:
Here, we want to find the distance between the two points
We have the equation to find this as follows;
D = √((x2-x1)^2 + (y2-y1)^2
where (x1,y1) = (-4,2) and (x2,y2) = ((2,4)
so we have the length calculated as follows;
D = √(2-(-4))^2 + (4-2)^2
D = √6^2 + 2^2
D = √36 + 4
D = √40
D = 6.3 units
Achilles ordered a pizza with 16 slices. Every hour, he ate half of the remaining slices. Let f(n) be the number of slices Achilles ate in the hour since he got home.
Consider we need to find f(n).
Given:
Achilles ordered a pizza with 16 slices.
Every hour, he ate half of the remaining slices.
To find:
The function f(n) that is the number of slices Achilles ate in the hour since he got home.
Solution:
Initial number of slices = 16
Every hour, he ate half of the remaining slices. So, the number slices Achilles ate in the hour since he got home are:
8, 4, 2, 1, ...
It is a geometric sequence with first term 8 and common ratio [tex]\dfrac{1}{2}[/tex].
The explicit formula for a geometric sequence is:
[tex]f(n)=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
Substituting [tex]a=8,r=\dfrac{1}{2}[/tex], we get
[tex]f(n)=8\left(\dfrac{1}{2}\right)^{n-1}[/tex]
Therefore, the function f(n) that is the number of slices Achilles ate in the hour since he got home is [tex]f(n)=8\left(\dfrac{1}{2}\right)^{n-1}[/tex].
the volume of the square pyramid is ___ cubic feet.
28ft
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Tasneem has a sample of 12 bags of candy. She recorded the mass, in grams, of each bag. Her data is shown.
Answer:
the answer is D
Step-by-step explanation:
The Dot plot for Alia's Sample is plot D.
What is Dot plot?Based on the values of each point, a dot plot visually groups the number of data points in a data set. Similar to a histogram or probability distribution function, this provides a visual representation of the data distribution.
Tasneem has a sample of 12 bags of candy.
Now, the median for Tasneem sample space is
= (47.1 + 47.2)/ 2
= 47. 15
As, the median mass in A is 47.05, B is 47.1, in C is 47.1 and in D is 47.4.
Also, we know that the median mass for Alia's Sample is greater than Tasneem.
Thus, the correct plot is D.
Learn more about Dot plot here:
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Can someone fill this out? I am very busy today and I need someone to fill this out.
Answer:
Uh i think its a uhhh carrot
Step-by-step explanation:
Help me plz I don’t get it
Answer:
3.33
Step-by-step explanation:
each cube represents 1, so each flat represents 0.1 and each unit represents 0.01. so if there are 3 of each, it would be 3+0.3+0.03 which equals 3.33
Answer:
3.33
Step-by-step explanation:
Each cube in this picture is equal to 1 unit as the diagram in the upper right corner shows.
We have 3 cubes so -> 1 + 1 + 1 = 3
We also have 3 squares that are 1/10th of a cube.
1/10 * 1 = 0.1 so each square is equal to 0.1 unit.
We have 3 squares so it would be 0.1 + 0.1 + 0.1 = 0.3
We have 3 tiny squares that are 1/100th of a cube.
1/100 * 1 = 0.01 so each tiny square is equal to 0.01 unit.
We have 3 tiny squares so it would be 0.01 + 0.01 + 0.01 = 0.03
Add everything up: 3 + 0.3 + 0.03 = 3.33
Please help me check if it's right! Please give the right answers!
Answer
15
Step-by-step explanation:
12-3²+6÷(10÷5)x2²
12-9+6÷2x4
12-9+3x4
12-9+12
3+12
15
This is the only one I saw wrong. you added wrong
Write parametric equations of the line a. Please select the best answer from the choices provided A
Answer:
Parametric Equation of a Line
Step-by-step explanation:
A line, parallel to vector (a,b,c) passing through point P (x1,y1,z1) is represented by parametric equations
x = x1+ at
y = y1 + bt
z = z1 + ct
- 4(y-2) = 12
What’s the value of x?
Explain
Answer:
There is no x, so I’ll find y
Step-by-step explanation:
-4(y-2)=12
Multiply -4 with y and -2
-4y+8=12
Then subtract 8 with its self and 12
-4y = 4
now divide both numbers with 4
y= -1
I need help ppl this is due tomorrow thank yooou
Answer:
8.62
Step-by-step explanation:
Use the Pythagorean theorem.
b= [tex]\sqrt{c^{2}-a^{2} }[/tex]
b=[tex]\sqrt{10.5^{2}-6^{2} }[/tex]
b= [tex]\sqrt{110.25-36[/tex]
b=[tex]\sqrt{74.25}[/tex]
b= 8.62
The parent function y = -2x^2+5 is translated down 12 units and left 8 units. What is the new equation in vertex form?
Answer:
y=-2(x+8)²-7
Step-by-step explanation:
Given: y=-2x²+5
After transformations: y=-2(x+8)²-7
Vertex would be (h,k) -> (-8,-7) instead of (0,5)
What's the answer? 2³ x 4³ / 5⁰
Answer:
512
Step-by-step explanation:
Answer:
512
Step-by-step explanation:
1) [tex]2^{3} * \frac{4^{3} }{5^{0}}[/tex]
2) [tex]8 * \frac{4^{3} }{5^{0}}[/tex]
3) [tex]8 * \frac{64 }{1}[/tex]
4) [tex]\frac{512 }{1}[/tex]
5) [tex]512[/tex]
Help me please. Please number 3 I need help
Answer:
Because they are both using (g units rates).
Step-by-step explanation:
The ratio of dogs is 5:3. If there are 12 cats, how many dogs are there? PLS HELP
Answer:
First of all, is it the ratio cats to dogs or dogs to cats?
Step-by-step explanation:
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Which other expression has the same value as (-4) - (-8) ?
A. (-4) + 8
B. -4 - (-8)
C. 4 + (-8)
D. (-4 ) + (-8)
Answer:
the answer is option (A) . (-4) + 8
What is the area of this triangle?
Answer:
The answer would be 14 units.
Step-by-step explanation:
Count each of the units to find the height and base.
Height - 4 units
Base - 7 units.
Then use the formula A = 1/2*h*b
A = 1/2*7*4
A = 1/2*28
A = 14 units.
The area of the given triangle is 14 units².
Use the concept of the triangle defined as:
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
And area of triangle = (1/2)x base x height
In the given triangle:
Width = 5 units + 2 units
Width = 7 units
Height = 2 units + 2 units
Height = 4 units
Put the values into the above formula of area,
Area of triangle = (1/2)x 7 x 4
Area of triangle = 14 unit²
Hence,
The area of the given triangle is 14 units².
Learn more about the triangle visit;
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answer question for 10 points and brainilest
Answer:
343
Step-by-step explanation:
[tex]\frac{(7^4)^2}{7^5}[/tex]
[tex]=\frac{7^4^*^2}{7^5}[/tex]
[tex]=\frac{7^8}{7^5}[/tex]
[tex]=7^8^-^5[/tex]
[tex]=7^3[/tex]
[tex]=7*7*7[/tex]
[tex]=343[/tex]
1. What shapes are formed?
2. How many triangles are formed?
3. Can two triangles fit in one cartolina which shape is a rectangle?
Answer:
1.) rectangle and triangle
2.)4 because 2 for each rectangle
3.)yes and a rectangle has 4 vertics and 4 sides and 2 equal lengths
True or false
A chance event with probability 1 is certain to happen
Answer:
True, since 1 is 1/1, which is 100%
Hope that helps! :)
Step-by-step explanation:
What should be subtracted from (−5/4 ) to get - 1
Answer:
-5/4+1/4=-4/4=-1
Step-by-step explanation:
someone please please help me with this ! I would really appreciate it
Answer:
Both volumes are the same
Step-by-step explanation:
Volume of cylinder = [tex]\pi[/tex][tex]r^{2} h[/tex]
r = radius
h = height
Since area of the circle is given on top,
Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
We know the area is 12
12 = [tex]\pi[/tex][tex]r^{2}[/tex] (we need to find r)
r = [tex]\sqrt{\frac{12}{\pi} }[/tex]
r = 1.954
Now we can find the cylinder's volume:
Volume of cylinder = [tex]\pi[/tex][tex](1.954)^{2}[/tex] (6)
Volume of cylinder = 72
To find the volume of the cuboid, we use
Volume of cuboid = lwh
l = length
w = width
h = height
Volume of cuboid = 6 x 4 x 3
Volume of cuboid = 72
This proves that both the volumes are the same.
Trinity had $525.38 in a savings account at the beginning of the summer she wants to have at least $200 in the account by the end of the summer she withdraws $25 each week for food, clothes and movie tickets writing in a quality that represents triniti's situation. How many weeks can Trinity withdraw money from her account solve the inequality
Answer:
Trinity can withdraw $25 from her bank account for 13 weeks.
Step-by-step explanation:
If she wants to have at least $200 by the end of summer you need to subtract that much from what she has now. Which would be $325.38. Now you have to divide that number into 25, which should give you the number of week that money would last. That number is 13.0152, you don't need all those extra numbers so just use 13. No to check you work multiply 25 and 13. You get 325.
A space probe flies by a planet in an hyperbolic orbit. It reaches the vertex of its orbit at (5,0) and then travels along a 2 path that gets closer and closer to the line y=-x. Write an equation that describes the path of the space probe if the 5 center of its hyperbolic orbit is at (0,0).
Answer:
[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]
Step-by-step explanation:
Since the required hyperbola has its vertex at (5,0), its transverse axis is on the x-axis and center at (0,0).
So, we use the equation in standard form
[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1[/tex]
Also, since the path of the space probe gets closer to y = -x, this is the asymptote to the hyperbola.
Our standard asymptote equation is y = ±bx/a taking the negative sign and comparing with y = -x,
-bx/a = -x ⇒ b/a = 1 ⇒ a = b
Also, the coordinate of the vertex (c, 0) = (5, 0) and c² = a² + b²
substituting c = 5 and a = b into the equation, we have
c² = a² + b²
5² = a² + a²
25 = 2a²
a² = 25/2
a = √(25/2)
a = ±5/√2
rationalizing, we have
a = ±5/√2 × √2/√2
a = ±5√2/2
Since a = b, b = ±5√2/2
Inserting a and b into the equation for the hyperbola, we have
[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1\\\frac{x^{2} }{(\frac{5\sqrt{2} }{2} )^{2} } + \frac{y^{2} }{\frac{5\sqrt{2} }{2} ^{2} } = 1\\\frac{x^{2} }{\frac{25 X 2 }{4} } + \frac{y^{2} }{\frac{25X2 }{4} } = 1\\\frac{x^{2} }{\frac{25}{2} } + \frac{y^{2} }{\frac{25}{2} } = 1\\\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]
So, the required equation is
[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]
4 divided by 1/6 with explanation !
PLEASEE HELPPP ME I needdd helppp
Answer:
5
Step-by-step explanation:
divide the figure as a triangle and a rectangle first.
take away the rectangle part and if you just look at the triangle part,
you can get x using Pythagorean theorem.
Pythagorean theorem is a^2 + b^2 = c^2,
so 3^2 + 4^2 = x^2.
If you calculate it, x should be root 25, which equals 5.
So, the answer is 5.
Simplify:............
[tex] - \frac{4 {m}^{2} }{1 + {m}^{4} + {m}^{8} } [/tex]
is your answer
Answer:
jshdgdhdhdhdhdhdhd English project work
plz answer this ill give 10pts
whats the question....?
Ginny has a cell phone plan that charges a flat fee of $20 per month plus $.10 per minute used talking on the phone. Which expression will calculate Ginny’s bill if she spends (t) minutes on the phone each month?
Answer:
20 + 0.10t
Step-by-step explanation:
The 20 is the flat rate, the .10 is the per minuet rate meaning the answer is 20 + 0.10t. plz 5 str and thx, and brailiest.
!!!!!!!!!!
A language arts teacher at North Middle School conducts a random survey of the student body and finds that 12% of the students would be
interested in a summer creative writing program if it were offered. If there are 700 students in the school, how many of them should the teacher
predict will participate in the program?
O A) 12 students
OB) S4 students
C) 140 students
D) 168 students
Answer:
B. 84 students
Step-by-step explanation:
12% of students
700 students in all
700 * 0.12 = 84
find the measure of each angle
Answer:
Step-by-step explanation:
m∠ 1 = 180 - 117
m∠ 1 = 63
m∠2 = the same as m∠ 1
m∠2 = 63
m∠3 is also the same b/c of the same length of the "legs" of the triangle
m∠3 = 63