Answer:
-7/4
Step-by-step explanation:
((5 + 1)^2- (11 +32))/ 4=(36-43)/4= -7/4
Answer:
31
Step-by-step explanation:
Which of the following expressions represents the area, in square meters, of the regular decagon (10-sided polygon) with 3.25 meter-sides and a 5-meter apothem.
Answer:
A = P * a / 2
A = 81.25
Step-by-step explanation:
We have that there is a corresponding formula for a regular decagon, which depends on the apothem and the perimeter, it is the following:
A = P * a / 2
In this case, the perimeter is the sum of all the sides, that is, 10 sides, therefore:
P = 10 * 3.25
P = 32.5 meters
We replace:
A = 32.5 * 5/2
A = 81.25
Which means that for that regular decagon, the area is 81.25 square meters.
Can someone explain how to do this?
Answer:
118,900,000,000,000 (1.189 × 10^14)
Step-by-step explanation:
First, assume that a cell is roughly a sphere with radius 10−³cm (. Let's compute the volume of the cell from the relation between radius and volume:
The volume V of a sphere with radius r is
V=(4π)/3 r³
where r³ and V have the same units. The volume of a cell with radius 10−³cm is therefore
V=4π³/3(10−³)3≈4.1888×10−⁹ cm³.
Next, we use the fact that the density of a cell is approximately the density of water which is 1g/cm³. Let's compute the mass of a cell from its volume and density using the definition of density:
density = mass/volume
which is equivalent to
mass = density×volume.
The mass of a cell is therefore
1 (g)/cm³×4.1888×10−⁹cm³ ≈ 4.1888×10−⁹g.
Now you know the mass of a cell, what other piece of information do you need to work out the number of cells in your body? Your mass in grams (if you know your weight in pounds, you can convert: 1 lb≈453.6 grams).
Number of cells=Your Mass/Mass of Cell
For example, the mass of a 175 lb is about 45,360 grams. We have that
79378g/4.1888×10−⁹g≈11.89 × 10^14
so there are approximately 1×10¹⁴=118,900,000,000,000 (1.189 × 10^14) cells in the human body!
profit on the dead
(a) A man bought two books for Rs 1040. He sold one at a loss of 15% and other at a profit of
36%
then he found that each book was sold for the same price. Find the cost price of each book.
Answer:
640 and 400
Step-by-step explanation:
Cost of books: x and 1040 -x
x sold at a loss of 15%= 0.85 x
1040 -x sold at a profit of 36% = (1040 - x)*1.36
x*0.85= (1040-x)*1.360.85x+1.36x= 1040*1.362.21x= 1414.4x= 1414.4/2.21x= Rs. 640Rs. 1040 - x= R. 400what is the value of x?
6x+12= 3x-43
PLSS I NEED HELPP
Answer:
-55/3
Step-by-step explanation:
6x+12=3x-43
Subtract 3x from both sides:
3x+12=-43
Subtract 12 from both sides:
3x=-55
Divide both sides by 3:
x=-55/3
Hope this helps!
Answer:
x = -18.33 or x = -55/3 (fraction form)
Step-by-step explanation:
first, you need to get x on one side,
6x + 12 = 3x - 43
-3x -3x
3x + 12 = -43
then, get the x by itself.
3x + 12 = -43
-12 -12
3x = -55
divide both sides by three
3x/3 = -55/3
x = -18.33
and you have your answer!
4
1 The senior class is selling T-shirts for a fundraiser. The graph below shows the profit, in
dollars, the senior class will earn based on the number of T-shirts sold.
Senior Class Fundraiser
y
1601
140!
1201
1001
Profit (dollars)
80F
60
40
20
Y
10 20 30 40 50 60 70 80
T-Shirts Sold
What is the slope of the line shown in this graph?
A $4 per shirt
B$2 per shirt
С$0.50 per shirt
D$0.25 per shirt
Answer: A.) $4 per shirt
Step-by-step explanation:
Slope of the graph is calculated as the ratio or proportion of chasing ein the y and x axis of a graph.
Slope(m) = [change in y / change in x]
One can draw a right angle triangle to meet the line of best fit provided in the graph to obtain the values for both the y and x axis.
HERE,
y2 = 120, y1 = 40 and x2 = 50, x1 = 30
Slope = (y2 - y1) / (x2 - x1)
Slope = (120 - 40) / (50 - 30)
= 80/20
Slope = 4
$4 per shirt
Please help! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
Ive 5 - 6x = 8x + 17.
Answer:
-6/7
Step-by-step explanation:
5-6x=8x+17
-8x -8x
5-14x =17
-5 -5
-14x =12
/-14 /-14
12/-14 = -6/7
a circle has a radius of 48 millimetres. What is the arc intercepted by a central angle that measures 3pi/4 radians? express your answer in terms of pi
Answer:
3π/4
Step-by-step explanation:
Which graph shows a negative correlation?
Answer:
Option D
Step-by-step explanation:
because the data wasn't place on a table...
Plz help help help plz plz plz
Answer:
NO
1,2,3,6
Step-by-step explanation:
THOSE ARE CORRECT
√8=2.8
Answer:
c
Step-by-step explanation:
Faith borrowed $2250 for home repairs. She paid back 24 payments of $132 each. How much did she pay in interest on the loan?
Explained answer please!
Answer:
0.17%
Step-by-step explanation:
if she paid 24 payments of $132, then as a total she paid 132 x 24 = 3168.
formula for simple interest = p x r x t divided by 100
difference : 918
so, 22500 x r x 24 divided by 100 = 918
22500 x r 24 = 91800
24r = 4.08
r = 4.08 divided by 24 = 0.17%
Please mark brainiest.
Please someone help me
Answer:
y=7*3^x
Step-by-step explanation:
y=ab^x
(0,7) ⇒ 7=ab^0 ⇒ 7=a
(5, 1701) ⇒ 1701= 7b^5 ⇒ b^5=243 ⇒ b^5= 3^5 ⇒ b=3
y=7*3^x
Complete the missing parts of the paragraph proof. We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because . We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the .
Answer:
it is given , angle 2 , angle 3 , converse alternate exterior angles theorem
Step-by-step explanation:
We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because it is given . We see that angle 2 is congruent to angle 3 by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the converse alternate exterior angles theorem .
Answer:
✔ it is given
✔ angle 2
✔ angle 3
✔ converse alternate exterior angles theorem
Need help with this question plz
Answer:
28.26 inches
Step-by-step explanation:
The diameter of the wheel is 3, so the circumference, or distance around the wheel, is 3.14 * 3 (pi times diameter)= 9.42. The wheel goes around 3 times, so 9.42*3=28.26
A line has the equation y=x+3
What are the coordinates of the point where the line intersects the y and x axis?
Answer:
(0, 3 ) and (- 3, 0 )
Step-by-step explanation:
Where the line crosses the y- axis the x- coordinate is zero.
Substitute x = 0 into the equation and solve for y
y = 0 + 3 = 3
Thus the y- intercept is (0, 3 )
Where the line crosses the x- axis the y- coordinate is zero.
Substitute y = 0 into the equation and solve for x
0 = x + 3 ( subtract 3 from both sides )
- 3 = x
Thus the x- intercept is (- 3, 0 )
can you pls help me with this question it's in the bottom
Answer:
The two on the bottom, -20-(-10) and -10 + 10
Step-by-step explanation:
Both are the same, since -(-10) equals +10 because the two "-" turn into "+"
Both equal -10
What is the x-value of the vertex?
f(x)=(x+2)^2−1
x-value of the vertex:
Answer:
-2
Step-by-step explanation:
x-value of the vertex is -2.
What is vertex form of parabola?The vertex formula helps to find the vertex coordinates of a parabola. The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex] The vertex form of the parabola [tex]y=a(x - h)^{2} + k.[/tex]
Given
[tex]f(x)=(x+2)^{2}- 1[/tex]............................(1)
The vertex formula helps to find the vertex coordinates of a parabola.
The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex]
The vertex form of the parabola [tex]y=a(x - h)^{2} + k.[/tex]
By comparing vertex form of parabola in equation 1
a = 1, h = -2 , k = -1
Hence, x-value of the vertex is -2
Learn more about vertex form of parabola here
https://brainly.com/question/20333425
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Harry is half his brother's age. His brother is 28 years younger than their Aunt Jenny, who is five years older than Harry and his brother's dad. their dad is 31 years old. how old is Harry?
Answer:
4 years old
Step-by-step explanation:
Harry = H
Brother = B
Aunty = A
Dad = B
H = ½ B
B = A - 28
A = D + 5
D = 31
A = 31 + 5 = 36
B = 36 -28 = 8 years old
H = ½ . 8 = 4 years old
Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$7.50
Step-by-step explanation:
Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!
5. Your dog is expecting a litter of puppies. The probability of a puppy being male or female is .50 or 50%. What is the probability that a litter of 4 puppies will contain 2 males and 2 females? Show your work
Answer:
not likely bbtguvtcettup
Mary wants to make a box she starts with a piece of cardboard whose length is 15cm and width is 10cm then she cuts them in congrats square with side 3cm at he four comes what is the area of the cardboard after she cuts the 4 comes
Answer:
V = 108 cm^3
the volume of the box is 108 cm^3
Corrected question;
Mary wants to make a box. She starts with a piece of cardboard whose length is 15 centimeters and width is 10 centimeters. Then she cuts 4 congruent squares with sides of 3 centimeters at the four corners and folded at the broken lines to make the box. What is the volume of the box?
Step-by-step explanation:
The volume of a box V is;
V = length × breadth × height
V = l×b×h ......1
Length l of the box that would be formed after cutting squares with sides 3 cm from the edges of a cardboard of length 15 cm is;
l = 15 - 2(3) = 9 cm
Breadth b of the box that would be formed after cutting squares with sides 3 cm from the edges of a cardboard of breadth 10 cm is;
b = 10 - 2(3) = 4 cm
Height of the box is the length of the squares cut;
h = 3 cm
Substituting the values into equation 1;
V = 9 × 4 × 3 cm^3
V = 108 cm^3
the volume of the box is 108 cm^3
Does anyone know the answer ?
Answer:
3.75
Use the pythogorean theorm for sqrt(6.25^2 - 5^2) = x
A train covers 240 Km in 3 hours. How much distance will it cover in 1 ¾ hours? *
Answer: 140 km
Step-by-step explanation:
240 km in 3 hours
1 3/4 hours = (1 3/4 / 3) x 240
= (7/4 / 3) x 240
= 7/12 x 240
= 7 x 20 = 140
f=
4m + 3
m – 1
make m the subject
Answer:
m = [tex]\frac{f+1}{7}[/tex]
Step-by-step explanation:
f = 4m + 3m -1
f = 7m - 1
Adding 1 to both sides
f+1 = 7m
Dividing both sides by 7
m = [tex]\frac{f+1}{7}[/tex]
Answer:
m= (f+3)/(f-4)
Step-by-step explanation:
It is not clear from the question, but I assume it is:
f= (4m+3)/(m-1)so the solution is:
f= (4m+3)/(m-1)f(m-1)=4m+3fm-f= 4m+3fm- 4m= f+3m(f-4)= f+3m= (f+3)/(f-4)The solution to this system of equations lies between the x-values -2 and -1.5. At which x-value are the two equations approximately equal?
Answer:
yes it's equal because, if -2 and 1.5 it's the same so it would be x=2.3
Step-by-step explanation:
2.4
Helena lost her marbles. But then she found them and put them in 4 bags with mmm marbles in each bag. She had 3 marbles left over that didn't fit in the bags. How many marbles does Helena have in all? Write your answer as an expression.
Answer:
She had four marbles in four bags. 4m. She had three more marbles.
Step-by-step explanation:
4y+3
Answer:
4m+3
Step-by-step explanation:
I had this same answer in Kahn and got it right
Hosn is a picture framer. He is framing a picture that is 24 inches by 32 inches with a
frame that is 2.5 inches wide. What is the outer perimeter of the framed picture In yards, feet, and inches.
Answer: 122 sq. in.
Step-by-step explanation:
P = 2 (l + w)
P = 2 (34.5 + 26.5)
P = 2 x 61
P = 122 sq. in. = 0.847 sq ft = 0.0941 sq. yards
Perimeter is the sum of the side lengths of a shape. The outer perimeter of the framed picture is:
132 inches3.67 yard11 feetGiven that:
[tex]Length = 24in\\Width = 32in[/tex]
The width of the frame is given as:
[tex]Frame =2.5in[/tex]
So, the actual length and width of the framed picture is:
[tex]Length =24 + 2.5 + 2.5[/tex]
[tex]Length =29in[/tex]
[tex]Width = 32 + 2.5 + 2.5[/tex]
[tex]Width = 37in[/tex]
The outer perimeter (P) in inches is:
[tex]P= 2 \times (Length + Width)[/tex]
So, we have:
[tex]P= 2 \times (29in + 37in)[/tex]
[tex]P= 132in[/tex]
The perimeter in yard, is as follows:
[tex]P= \frac{132}{36}yd[/tex]
[tex]P = 3.67yd[/tex]
The perimeter in feet is as follows:
[tex]P= \frac{132}{12}ft[/tex]
[tex]P = 11ft[/tex]
Hence, the outer perimeter of the frame is 132 inches
Read more about perimeters at:
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the blueprints at addison circle is a sculpture that took 18,000 worker-hours to construct using over 410,000 pounds of steel. The piece of art is placed within a traffic circle with a diameter of 133 feet. find the area of the circle. Round to the nearest tenth of a square foot.
Answer:
Area = 13,898.5 ft^2
Step-by-step explanation:
Here, we are tasked with calculating the area of the circle given the value of the diameter.
Mathematically, the area of a circle is;
A = pi * d^2/4
Where d here is 133 feet
A = 22/7 * 133 * 133 * 1/4 = 13,898.5 ft^2
What is the slope of the line in the graph?
Answer:
-3/2
Step-by-step explanation:
Take any two points on the line and calculate the slope using the formula
(y2-y1) / (x2-x1) and you should get your slope.
how do i simplify 7(1+6x)
Answer:
7+42x
Step-by-step explanation:
7(1+6x)
Distribute
7*1 + 7*6x
7+42x
Answer:
7 + 42x
Step-by-step explanation:
Use the distributive property
7 + 42x
