Answer:Number of subsets will be given by 2^n, where n is the number of elements in the set.
Step-by-step explanation:
Number of elements is 5. Therefore, the number of subsets that can be formed from the given set is 2^5 = 32.
How many solutions does this system have?
y=-3x
-9x-4y = 21
one
two
an infinite number
no solution
These points are linear.
Find the slope.
X 3 4 5 6 7
y 0 9 18 27 36
slope = [?]
Find the average of this set of numbers.16, 20, 30, 30
A) 14
B) 15
C) 25
D) none of the above
Answer:
D) none of the above
Step-by-step explanation:
16+20+30+30=96
96/4 =24
Find the equation of a line that passes through the point (0,-4) and has a gradient of 2. Leave your answer in the form y=mx+c
Answer:
y=2x-4
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=2(x-0)
y+4=2x-0
y=2x-0-4
y=2x-4
double the difference of 6 and x
What is the surface area?
15
yd
15
yd
15
yd
Answer:
Step-by-step explanation:
(15x15)x6
225x6
1350
5 people are in a line to withdraw money from the local Bank. All 5 withdrawal the same amount. The total withdrawn was $845. How much money did each withdraw? Set up an equation to find out how much money each person withdrew and then solve it.
845 / 5 = 169
Each person withdrew 169$ from their accounts.
Evaluate the function when x= -3, 0, and 1.
f(x) = 5 + 5x - 7
Answer:
f(-3) = -17
f(0) = -2
f(1) = 3
Step-by-step explanation:
f(-3) = 5 + 5(-3) - 7
5 -15 - 7
-10 - 7
=-17
f(0) = 5 + 5(0) -7
5 + 0 - 7
5 - 7
=-2
f(1) = 5 + 5(1) - 7
5 + 5 - 7
10 - 7
=3
A box of 800 paper clips costs $5.60. What is the unit price of the paper clips?
Answer:
70 cents
Step-by-step explanation:
To figure out how much 1 paper clip costs we must divide :)
5.60/800 = 70 cents
Have an amazing day!!
Please rate and mark brainliest!!
What is the slope of the line that passes through the points (1, 1) and (9, 7)?    
Answer:
slope =1
Step-by-step explanation:
(1, 1)=(x1,y1)
(9, 7)=(X2, y2)
now,
slope=(y2-y1)/(x2-x1)
=(7-1)/(9-1)
=8/8
=1
Hey there!
Use the slope formula:
[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]
[tex]\bold{\displaystyle\frac{7-1}{9-1}}[/tex]
Simplify
[tex]\bold{\displaystyle\frac{7}{8} }\hookleftarrow\text{Slope of the line}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
HELP 50pts!!!
Ivanna drove 225 miles using 10 gallons of gas. At this rate , how many gallons of gas would she need to drive 441 miles ?
____ gallons
19.6 gallons
Explanation:
225 miles → 10 gallons1 miles → (10/225) gallons441 miles → [ (10/225)*441 ] gallons441 miles → 19.6 gallonsSolve the equation Enter your answer as an equation that shows the value of
the variable (like s = 2/3, or 4 = w).
8x - 2 = 70
Algebra 1 Answer Key. ITEM 98. Find the equation that is equivalent to the quadratic equation shown. x2 – 8x – 8 = 0. A. x(x – 4) = 32. B. (x – 8)2 = 64.
Need help picture below
Which statements are true about the figure? Check all that apply.
A net has 3 rectangular faces and 2 triangular faces.
The figure is a triangular prism.
The figure is a rectangular pyramid.
The figure has 6 vertices.
The figure has 6 faces.
The figure has 9 edges.
Answer:
Step-by-step explanation:
The figure is a triangular prism.
The figure has 6 vertices.
The figure had 9 edges.
Vertex: The meeting point of two edges is called vertex
Edge: The meeting point of two faces is called an edge.
Abby made a quilt for her cousin doll The quilt had a 7×7 array of different colored square patches if each patch is 3 1/2 in long. What is the area of the whole quilt?
Answer:
The area would be 600.25 because 49 x 12 1/4 will equal the answer 600.25.
-
In the diagram below, UV is parallel to RS. If UT = 4, TS = 9.6, and TV = 6,
find the length of RT. Figures are not necessarily drawn to scale.
Check the picture below.
Seventh grade
A triangular prism is 40 inches long and has a triangular face with a base of 42 inches and a
height of 28 inches. The other two sides of the triangle are each 35 inches. What is the
surface area of the triangular prism?
Step-by-step explanation:
area of 2 triangles + 3 rectangles
2 (0.5×42×28)
=2×588
=1176 inches square
2(35x40)=2800
42×40= + 1680
--------
=4480 inches square
1176+4480
=5656 square units
find product of 9000and800
Answer:
7200000
Step-by-step explanation:
2n² + 2n - 12 = 0 in quadratic formula?
Answer:
Step-by-step explanation:
2n² + 2n - 12 = 0
in quadratic formula = n = 2, -3
[tex]2n^2+2n-12=0\\\\\implies n^2 +n-6=0\\\text{Apply quadratic formula,}~ n = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}. ~\\\\\text{In this case,}~ a=1,b=1, c= -6\\\\n=\dfrac{-1\pm\sqrt{1^2-4\cdot 1 \cdot -6}}{2\cdot 1}\\\\~~~=\dfrac{-1\pm\sqrt{1+24}}{2}\\\\~~~=\dfrac{-1\pm\sqrt{25}}{2}\\\\~~~=\dfrac{-1\pm5}{2}\\\\\text{Hence} ~ n=\dfrac{-1+5}{2} = 2 ~~\text{or}~~n = \dfrac{-1-5}2 = -3[/tex]
PLEASE HELP ILL GIVE EXTRA POINTS FOR ANSWER ⭐️⭐️⭐️‼️‼️
Answer:
d
Step-by-step explanation:
area=length ×width
156=13×w
w=156/13=?
P=2(l+w)
P=2(13+w)
show your work :) giving brainliest!
Answer:
41/25
Step-by-step explanation:
So (-1)¹⁰ equals 1 because any number multiplied by a positive exponent is positive. Next, you do (-22)⁰ which equals 1. Anything to the zeroth power equals one. Now you add 1 and 1 which equals 2. Then you do -(3/5)² which equals -9/25 (You do 3 * 3 which equals 9 and 5 * 5 which equals 25. You then add the negative sign outside the parenthesis to get -9/25). Then you multiply 2 by 25 so both numbers have a common denominator of 25. That equals 50/25 ( 50/25 is 2). You subtract 50/25 by 9/25. That equals 41/25.
Answer:
[tex]\frac{41}{25}[/tex]
Step-by-step explanation:
[tex](-1)^{10} + ( -22)^{0} - (\frac{3}{5})[/tex]
[tex]1 + (-22)^{0} - (\frac{3}{5})^{2}[/tex]
[tex]1 +1 - (\frac{3}{5} )^{2}[/tex]
[tex]1 + 1- \frac{9}{25}[/tex]
add the numbers
[tex]2 -\frac{9}{25}[/tex]
Calculate the difference
[tex]\frac{41}{25}[/tex] ← Final answer! ~ Hope this helps~
I need help, so this one question: 1/4 (4+x)=4/3
Is stopping me from being great
Answer:
if you are solving for x, x= 4/3
Step-by-step explanation:
How to solve your problem:
1. Rearrange terms
2. Combine multiplied terms into a single fraction
3. Multiply by 1
4. Multiply all terms by the same value to eliminate fraction denominators
5. Cancel multiplied terms that are in the denominator
6. Multiply the numbers
7. Subtract 4 from both sides
8.Simplify
Answer:
X= 4/3
Hopes this helps! ^^
Given sin(x + e^x) = y, find dy/dx. ==
Answer:
Step-by-step explanation:
[tex]\frac{dy}{dx}=\frac{dy}{du}\frac{du}{dx}[/tex]
where [tex]u = x + e^{x}[/tex]
So we can obtain: [tex]\frac{dy}{dx}=(1+e^{x})\cos(u)=(1+e^{x})\cos(x+e^{x})[/tex]
Find the distance between the two points (1, -4) and (5, 3). Give an exact answer in
terms of a square root.
Answer:
A lovely answer of : [tex]\sqrt{17}[/tex]
For those of you who use a dark theme : square root of (17)
And a short Explanation:
Use the Pythagorean theorem to find the result
please help answer by putting
"question ___ is option ___"
Answer:
B A C A B
Step-by-step explanation:
i took this test before
what is the sum? complete the equation 3 1/7 + (-5 4/7)
Answer:
The answer is
[tex] - 2 \frac{3}{7} [/tex]
Click and drag like terms onto each other to simplify fully. 1+7+3y
Answer:
8+3y
Step-by-step explanation:
Combine like terms; 1+7=8. That is the only like term in this expression.
Shahida has seen an eagle landing at the top of the tree in her backyard. She places a camera on a tripod a distance of 12 feet from the
trunk of the tree. She angles the camera to the top of the tree so she can get a picture of the eagle. The height of the tree is 31 feet. The
height of the tripod is 4 feet.
The angle of elevation from the tripod to the top of the tree is about 66 degrees
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let Ф represent the angle of elevation. Since the tripod is at a height of 4 feet, hence:
tanФ = (31 - 4) / 12
Ф = 66 degrees
The angle of elevation from the tripod to the top of the tree is about 66 degrees
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
A culture started with 6000 becteria. after 4 hours it grew to 6600 becteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number. p=ae^kt
Answer:
7614
Step-by-step explanation:
The exponential growth of the bacteria culture can be modeled by the equation ...
p = a·b^(t/c)
where 'a' is the initial population, 'b' is the growth factor, and 'c' is the period over which that growth factor applies.
__
modelIn the given scenario, we have ...
a = 6000 bacteriab = 6600/6000 = 1.1 . . . . growth factorc = 4 hoursSo, our model is ...
p = 6000·1.1^(t/4)
__
applicationAfter 10 hours, the population is predicted to be ...
p = 6000·1.1^(10/4) ≈ 7614
We predict 7614 bacteria will be present after 10 hours.
__
Additional comment
If we compare the form we used to the one suggested in the proglem statement, we see
p = 6000·1.1^(t/4)p = 6000·e^(kt)For the bases of the exponential term to be the same, we must have ...
1.1^(t/4) = e^(kt)
(1.1^(1/4))^t = (e^k)^t . . . . . factor t from the exponent
1.1^(1/4) = e^k . . . . . . . match the bases
k = ln(1.1)/4 . . . . . take natural logs
k ≈ 0.0238275
and the equation becomes ...
p = 6000·e^(0.0238275t)
__
In terms of 'a', 'b', and 'c' used above, we find ...
k = ln(b)/c
4. triangle FBT is similar to triangle ADQ with a scale factor of 5/3. Complete the table below.
Sides Angles
BF = 15 B = 85
BT = F = 40
FT = 21 T =
AD = 9 A =
DQ = 6 D =
AQ = Q = 55
Triangle FBT is similar to triangle ADQ with a scale factor of 5/3. AD = 9; BF = 15, DQ = 6; BT = 10, FT = 21; AQ = 12.6
∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°
What are similar triangles?Similar triangles are triangles that have the same shape and the ratio of their corresponding sides are in the same proportion. Corresponding angles are equal.
triangle FBT is similar to triangle ADQ with a scale factor of 5/3.
AD = 9; BF = 9 * 5/3 = 15
DQ = 6; BT = 6 * 5/3 = 10
FT = 21; AQ = 21 * 3/5 = 12.6
∠F = ∠A = 40°, ∠Q = ∠T = 55°, ∠B = ∠D = 85°
Find out more on similar triangles at: https://brainly.com/question/2644832