The next fraction in the given sequence is; 7/14
We are given the sequence;
3/14, 2/7, 5/14, 3/7.
To get the next fraction in the sequence, we have to find the pattern of the differences.
Difference between first and second term is;
2/7 - 3/14 = 1/14
Similarly, for 2nd and 3rd term;
Difference = 5/14 - 2/7
Difference = 1/14
Therefore,the next fraction in the sequence will be gotten by adding 1/14 to 3/7
Next fraction = 3/7 + 1/14
Next fraction = 7/14
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How to slove this equation in simple form -9(8v-2v)+10b - (100v+6)
Answer:
- 154v + 10b - 6
Step-by-step explanation:
-54v + 10b - 100v - 6
-154v + 10b - 6
A scientist counted 3,921 total eggs in
49 sea turtle nests. Each nest had about
the same number of eggs. Which is the
best estimate of the number of eggs
she counted in each eggs?
An equation of a line through (-12, -12) which is parallel to the line y = 3 x + 2 has slope:
Answer:
3. Parallel lines have the same slope but different y-intercepts, so they never intercept each other.
Step-by-step explanation:
Dustin looks around at an assembly. He notices his younger sister to his right and his older brother 4.1 feet ahead of him. If Dustin's brother and sister are 8.8 feet apart, how far apart are Dustin and his younger sister? If necessary, round to the nearest tenth.
Answer:
So the answer would probably be 4.8 feet?
Step-by-step explanation:
Solve the equation 6(2x+4)^2=(2x+4)+2 a x=-5/3 or -9/4
Answer:
x=5/3
Step-by-step explanation:
Answer:
-5/3 or -9/4 is the answer
Step-by-step explanation:
Just completed it
Best answer gets brainiest! (plz help me!)
what is the circumference and the mass of Jupiter and Saturn combined? (both the circumference and mass)
Answer:
Total Circumference = 514, 170 miles
Total Mass = 2, 467, 000, 000, 000 metric tons
Step-by-step explanation:
hope this helps
Answer:
378,675 km (Saturn) + 449,197 km (Jupiter) = 827, 872 km (514,416 mi)
5.683 × 10^26 kg (Saturn) + 1.898 × 10^ kg (Jupiter) =568300000000000000000000018.98 kg (5.683 × 10^26)
Please answer this ASAP LINKS WILL BE BANNED !!!
Solve for p.
P+3=p-4/2
A: p= -74
B: p= 74
C: p= 10
D: p= -10
Answer:
p = - 10
Step-by-step explanation:
I hope this helps. Good luck
Fill with possible values to make the statement true in 2 diffrent ways:
35 is _% of _
Answer:
35 is 35% of 100 and 35 is 17.5% out of 200
Step-by-step explanation:
this is an area in which objects will interact with a magnet
: Andre poured 27 ounces of rice into 6 containers. If all containers have the same amount of rice, how many ounces are in each container?
Find the area of the shape. Either enter an exact answer in terms of π or use 3.14, point, for π and enter your answer as a decimal.
Answer:
25π
Step-by-step explanation:
1) for whole circuit: A=π*r², where r - radius of the given circle;
2) for a quater of the circuit: A=πr²/4;
3) finally, A=π*100/4=25π.
On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negative 1, negative 1) If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle? 0. 625 units 0. 8 units 1. 25 units 1. 6 units.
The corresponding height of the triangle is 1.6 units
The formula for calculating the area of a triangle is expressed as:
[tex]A=\frac{1}{2} bh[/tex]
b is the base of the triangleh is the height of the triangleGiven the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\BC= \sqrt{(-1-2)^2+(-1-3)^2}\\BC=\sqrt{3^2+4^2}\\BC=\sqrt{25}\\BC=5units[/tex]
The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:
[tex]A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\[/tex]
Substituting the coordinate points:
[tex]A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2[/tex]
Recall that:
[tex]A = 0.5bh\\h=\frac{A}{0.5b}\\h=\frac{4}{0.5(5)}\\h=\frac{4}{2.5}\\h= 1.6 units[/tex]
Hence the corresponding height of the triangle is 1.6 units
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There are 200 students in Year 11
75 of the students are girls.
Write down the fraction of the students that are girls.
Answer:
75/200
Step-by-step explanation:
You can also simplify this.
Any polygon with two pairs of parallel opposite sides is a parallelogram
Answer:
It is false that any polygon with two pairs of parallel opposite sides is a parallelogram. Let's understand the answer in detail. Explanation: ... There can be other polygons that have more than 4 sides but have only two pairs of parallel sides, which can't be called a parallelogram.
Step-by-step explanation:false.
ABCD is a square of side 4cm. In each of the following loci, the point p moves only inside the square. Sketch the locus in each case. AP=BP
The sketch of the locus AP = BP shows an equal distance between AP and BP which can be seen in the image attached below.
A square is a plane figure that has four sides with each side adjacent to each other and they make a right angle of 90° to one another.
A locus is a point that satisfies a constraint on the square of the distances between two lines.
The sketch of the locus AP = BP given an intersection between lines A and B and that intersection is point P.
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Find the value of x.
X=
137°
(4x-17)
Answer:
x = 15°
Step-by-step explanation:
These angles form a linear
4x - 17 + 137° = 180°
4x - 17 = 43°
4x = 60°
x = 15°
Please graph as this coordinate plane is. Thank you
Answer:
hope this helps :)
There are 16 pieces of candy. Jack
has 5 empty bogs and puts 3 pieces
of candy nto each bag How many
pleces of candy are left?
two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goes 8km due east, then rides due south for 15km. The second rider goes 8km due west, then changes directions and rides 20 degrees west of due north for 15km. Both riders have been traveling for 23km, but which one is further from the parking lot?
Applying the required rule or theorem, it can be concluded that the second biker is farther from the parking lot. The distance of the bikers to the parking lot are:
i. First biker = 17.0 km
ii. Second biker = 20.22 km
The path of travel of both bikers would form a triangle. Applying the Pythagoras theorem to the path of the first biker would give his distance from the starting point. While applying the cosine rule to the path of second rider would gives his distance to the starting point.
Thus,
a. To determine the distance of the first biker from the parking lot.
Let the required distance be represented by x. Applying the Pythagoras theorem, we have:
[tex]hyp^{2}[/tex] = [tex]adj 1^{2}[/tex] + [tex]adj 2^{2}[/tex]
[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]15^{2}[/tex]
= 64 + 225
= 289
x = [tex]\sqrt{289}[/tex]
= 17
x = 17 km
Thus, the first biker is 17.0 km from the starting point.
b. To determine the distance of the second biker from the parking lot.
Let the required distance be represented by x. So that applying the cosine rule, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]15^{2}[/tex] - 2(15*8) Cos (180 - 20)
= 64 + 225 - 240 Cos 160
= 289 - 240 * -0.5
[tex]x^{2}[/tex] = 289 + 120
= 409
x = [tex]\sqrt{409}[/tex]
= 20.2237
x = 20.22 km
Thus, the second biker is 20.22 km from the starting point.
Therefore, the second biker is farther from the parking lot.
A sketch of the path of travel for the two bikers is attached for more clarifications.
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41/30 as a mixed number
Answer:
1 11/30
Step-by-step explanation:
43 minus 30 equals 11, a prime number; can't simplify
The diameter of the circle is 34cm and a chord is at a distance of 15cm from the centre. Find the length of the chord of the circle
===================================================
Explanation:
The drawing is shown below.
Point A = center of circlePoints B,C,E = points on the circle's edgePoint D = midpoint of chord CEThe goal is to find the length of CE based on these facts
BC = 34 = diameterAD = 15 = distance from center to chordx = length of segment CD = length of segment DENotice how AB = AC = AE = 17 because they are all radii of the same circle. We cut the diameter in half to get the radius.
Focus on triangle CAD. We'll use the pythagorean theorem to find x.
a^2 + b^2 = c^2
(AD)^2 + (DC)^2 = (AC)^2
15^2 + x^2 = 17^2
225 + x^2 = 289
x^2 = 289 - 225
x^2 = 64
x = sqrt(64)
x = 8
Segment CD is 8 cm long, and so is segment DE.
To wrap things up, we then say:
CE = CD + DE
CE = 8 + 8
CE = 16
Chord CE is 16 cm long.
what is 1/2 (6x+10) - 25
Answer:
3x - 20
Step-by-step explanation
simplify 1/2
STEP 3
Pulling out like terms
3.1 Pull out like factors :
6x + 10 = 2 • (3x + 5)
Equation at the end of step
3 (3x + 5) - 25
Final result : 3x - 20
A person places $4080 in an investment account earning an annual rate of 5.7%, compounded continuously. Using the formula
V
=
P
e
r
t
V=Pe
rt
, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 4 years.
We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.
We will use continuous compounding formula to solve our given problem as:
, where
A = Final amount after t years,
P = Principal initially invested,
e = base of a natural logarithm,
r = Rate of interest in decimal form.
Upon substituting our given values in above formula, we will get:
Upon rounding to nearest cent, we will get:
Therefore, an amount of $7499.82 will be in account after 2 years.
Answer:
5124.83
Step-by-step explanation:
r=5.7\%=0.057
r=5.7%=0.057
Move decimal over two places
P=4080
P=4080
Given as the pricipal
t=4
t=4
Given as the time
V=Pe^{rt}
V=Pe
rt
V=4080e^{0.057( 4)}
V=4080e
0.057(4)
Plug in
V=4080e^{0.228}
V=4080e
0.228
Multiply
V=5124.8281\approx 5124.83
V=5124.8281≈5124.83
2. Use the Distributive Property to simplify the expression (1 point)
4(2x - 4)
8x + 4
8x - 4
8x - 16
4x – 16
Answer:
(c) 8x -16
Step-by-step explanation:
The outside factor multiplies each of the terms inside parentheses.
4(2x -4) = 4(2x) +4(-4) = 8x -16
_____
Additional comment
You can think of parentheses as a "bag". The factor outside tells you how many bags you have. When you dump that many bags (eliminate parentheses), you find that the number of each of the kinds of contents is the number in one bag, multiplied by the number of bags.
If you have 4 bags that each have 2 apples and 4 oranges, your total is 8 apples and 16 oranges.
Calculate the average of the numbers shown22,48,11 ,34,5
Answer:24
Step-by-step explanation:
22+48+11+34+5=120
120/5=24
SOLVE FOR X & Y
last one, pls. this is for extra credit :)
Hope it helps.
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63 divided by 16,128 plss help it’s due wensday!!!!
Answer:
256 , or 0.00390625
Step-by-step explanation:
A store has 3 separate displays of color markers. There are 14 sets of color markers in each display. There are 15 markers in each set. What is the total number of markers on display?
A.) 240
B.) 630
C.) 210
D.) 633
Answer:
C.) 630
Step-by-step explanation:
14x15=210
210x3=630
See attachment for answer and math work.
David, a sales clerk in an appliance store, earns a base salary of $1200 per month plus a commission of 8 percent on monthly sales over $600. If David received $1900 for the month of April, how much were his monthly sales?
Answer:
3,700
Step-by-step explanation:
I know it's black because I did it in my head
Jim’s backyard is rectangular with dimensions of 80 feet by 120 feet. He is planning to designate part of the yard to plant a vegetable garden. The garden will be a similar rectangle, using a scale factor of 3/4. How much fencing will he need if he wants to enclose the garden on all four sides?
How many feet does he need?
