Answer:
42
Step-by-step explanation:
The difference of each letter times 2 get you the next number in the sequence.
The perimeter of a rectangular field is 354 yards. If the width of the field is 78 yards, what is its length?
Answer:
99
Step-by-step explanation:
Answer:
The length is 138 yards.
Step-by-step explanation:
354 - 78 = 276
276/2 = 138
Paco decides to invest $600 into a bank account that gives him a 3.4% interest rate compounded quarterly. He wants to know how long it will take for him to save up to $1,000.
Answer:
It would take 15 years
Step-by-step explanation:
The length of time it takes to reach $1,000 savings can be determined from the future value formula given below:
FV=PV*(1+r/4)^n*4
FV is the target savings of $1,000
PV is the amount invested which is $600
r is the rate of interest of 3.4%
n is the unknown
1000=600*(1+3.4%/4)^4n
1000=600*(1+0.0085 )^4n
1000=600*(1.0085)^4n
1000/600=1.0085^4n
1.666666667 =1.0085^4n
take log of both sides
ln 1.666666667 =4n ln 1.0085
4n=ln 1.666666667/ln 1.0085
4n=0.510825624 /0.008464078
4n=60.35218768
n=60.35218768 /4
n= 15.09
1. MONDAY (5/18): Which of the following functions matches the graph to the right
a) f(x) = -⅙(x+3)²+6
b) f(x)=-⅙(x-3)²+6
c) f(x) = -6 (x+3)² +6
d) f(x) = -6 (x-3)² + 6
Answer:
a.) f(x) = -⅙(x+3)²+6
Step-by-step explanation:
The maximum value, our vertex, is at point (-3,6).
We can insert this value into the vertex form of a quadratic function and then solve for a as follows...
[tex]4.5 = a(0 +3)^2 +6\\4.5=a(9)+6\\-1.5 = 9a \\-.17=a\\a = -1/6[/tex]
a equals -1/6... We can input this into the original equation we used...
f(x) = -1/6(x+3)^2+6
Good luck on the bellwork ;)
easy please help asap
1.Understand the problem
2.Gather your resources
3.Come to answer
4.Check your answer and present solution
How do you solve 15 less than or equal to
3 - 4s
Answer:
-3 is greater than or equal to s
Step-by-step explanation:
subtract 3 on both sides
then get s by itself by dividing by -4 on both sides (bc you are dividing by a negative the sign flips)
A farmer picks 242 apples on monday and 118 apples on tuesday on wednesday she sells 109 of the apples at the market. Which equation can be used to find a, the number of apples the farmer has left?
Answer:
Step-by-step explanation:
The apples picked on Monday and Tuesday = 242 + 118 = 360
Apples sold on Wednesday = 360 - 109 = 521
Number of apples left = 251
Equation used: (242 + 118) - 109
odún and aderonke have 6:4 in 80 units of transcorp's share. how many units of this shares belong to odún
Answer:48
Step-by-step explanation:
Answer:
48 pecies
Step-by-step explanation:
Odun's share=80x 6/10
Odun's share=48
Hope you understand
2. There were 1500 people at a high school football game. Student
tickets were $2.00 and adult tickets were $3.50. The total receipts for the
game were $3825. How many students bought tickets?
Let a = the number of adult tickets purchased.
Let s = the number of student tickets purchased.
a. Write a system of equations tha) can be used to determine the
number of adult and student tickets purchased.
b. Determine the number of adults tickets sold and the number of
student tickets sold. Use mathematics to explain how you
determined your answer.
Answer:
a = 950
s = 550
Step-by-step explanation:
Let a = the number of adult tickets purchased.
Let s = the number of student tickets purchased.
Therefore,
[tex]a + s = 1500 \implies \: s = 1500 - a...(1) \\ 2a + 3.5s = 3825...(2) \\ plugging \: s = 1500 - a \: in \: equation \: (2) \\ 2a + 3.5(1500 - a) = 3825 \\ 2a + 5250 - 3.5a = 3825 \\ 5250 - 1.5a = 3825 \\ 5250 - 3825 = 1.5a \\ 1425 = 1.5a \\ a = \frac{1425}{1.5} \\ \huge \red{ \boxed{ a = 950}} \\\implies s = 1500 - 950 \\ \huge \purple{ \boxed{s = 550}}[/tex]
So,
Number of adult tickets sold = 950
Number of students tickets sold = 550
HELP PLEASE!!!!!
(20 POINTS)
You pick a card from a deck containing 5 cards and roll a 6-sided die. How many
outcomes are possible?
30
Step-by-step explanation:
there are 5 outcomes for each card, and 6 for the die. 5x6 is 30. I hope this helps!
Charlie has a box that is In the shape of a rectangular prism its height is twice the length its length is three times the width in the word measures 4 inches what is the volume of the box the volume of the box is
Answer:
1152 in ^ 3
Step-by-step explanation:
We know that the width is:
w = 4 in
They also tell us that the length is three times the width, therefore:
l = 3 * w
l = 3 * 4 = 12
l = 12 in
and as for the height, they tell us that it is twice the length, so:
h = 2 * l
h = 2 * 12 = 24
h = 24 in
now the volume is w * l * h, replacing:
v = 4 * 12 * 24
v = 1152
volume equals 1152 in ^ 3
About 450 manta rays are seen near lady Elliot island each year if you were to spot one manta ray at random what is the probability that it would be clouseau
Answer:
Probability that if a manta ray is spotted at random, it would be clouseau = Total number of Clouseau spotted each year) ÷(Total number of manta rays seen each year)
Step-by-step explanation:
The information given is not enough to determine the probability.
We need to know, how many Clouseau are seen each year, then we can find the desired probability.
The Parameters:
Total number of manta rays seen each year = 450
Probability that if a manta ray is spotted at random, it would be clouseau,
P = Total number of Clouseau spotted each year, C) ÷(Total number of manta rays seen each year, T)
P = C/T
P = C/450
Joe is 6 A tall, and stands 30 ft away from a pole. If his line of sight to the top is at a 40° angle above the
horizontal approximately how tall is the pole?
Answer:
Height of pole =
31 feet
Step-by-step explanation:
Here, we are to calculate the height of the pole.
Please check the attachment for diagrammatic representation of the question.
We use trigonometric ratio to calculate the length AC first.
The ratio to use here is Tan
This is because we have the adjacent and we want to calculate the opposite
Mathematically;
Tan of an angle = length of opposite/length of adjacent
Tan 40 = AC/30
AC = 30Tan 40 = 25.17 which is approximately 25 feet
The height of the pole is the length CE + AC
CE = BD = 6 ft since they are opposite sides of rectangle BCDE
The height of the pole is thus 6 + 25 = 31 feet approximately
Una escalera está apoyada sobre la fachada de un edificio. Si la escalera mide 10 m de longitud y el pie de la escalera está a 5 m de la pared, ¿a qué altura de la pared llega la escalera? Expresa el resultado con radicales extrayendo todos los factores posibles.
Answer:
8.66 meters
Step-by-step explanation:
Assuming that the building is completely straight, a right angle is formed and therefore a right triangle.
Thanks to this we can calculate the height at which the ladder reaches the wall using the Pythagorean theorem, this height being one of the legs.
We have to:
c ^ 2 = a ^ 2 + b ^ 2
c = 10
a = 5
replacing
b ^ 2 = 10 ^ 2 - 5 ^ 2
b ^ 2 = 75
b = 8.66
that is to say that the height at which the ladder reaches the wall is 8.66 meters
can someone helpme please
Answer: the first box is 1/5 since one of 5 squares are shaded.
The next box the answer is “there are 4 groups 1/5.
The next answer is 4/5
The last answer is 4/5
Step-by-step explanation:
Please help me. Only answer if you know the answer. In circle O, PA and PB are tangents. The figure is not drawn to scale.
a. Prove that APO is congruent to BPO.
b. Find BOD for AOP = 64. Explain your reasoning.
Answer:
a. See down below
b. 116 degrees
Step-by-step explanation:
a. Since PA and PB are both tangents to the circle, they both form right angles with the radius of the circle. Also, since they originate from a common point, they have equal length when they reach the circle. Finally, they share side PO. Therefore, by SSA congruence, they are congruent triangles.
b. Since PD bisects the circle, it is divided into two 180 degree sections. If AOP=64, then so is POB. Since all of the remaining half of the circle is BOD, you can find its angle measure by subtracting the angle measure of AOP from 180. 180-64=116 degrees. Hope this helps!
Which property can be used to solve the equation? 5 d = 75 addition property of equality subtraction property of equality multiplication property of equality division property of equality please answer fast
Answer:
Multiplication Property of Equality
Step-by-step explanation:
Answer:
Division Property of Equality..
Step-by-step explanation:
find out three rational numbers lying between 2/3 and 3/4
PLEASE HELP...... I NEED TO SUBMIT IT NOW......
Answer:
33/48, 34/48, 35/48
Step-by-step explanation:
2/3 is equal to 32/48 and 3/4 is equal to 36/48. The fractions in between them are all rational numbers. Hope this helped <3
Jake and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
The diameter of the circle is 70 centimeters. What is the approximate area of the circle?
(Use 3.14 for Pi)
Answer:
3847
Step-by-step explanation:
To get your radius
diameter/2= 70/2=35.
Radius=35
Area=πr^2 =3.14x 35x35= 3846.5
approximately=3847
Mr.Cho made a two way table to describe members of his family.which could describe the row and column headings for Mr.Chos table
Answer:c
Step-by-step explanation:
Took test
Find the value ox x. (Circles)
Answer:
x = 140 degrees
Step-by-step explanation:
Lets say that the other part of the circle we don't know is y. Because the chords are equal distance, that means that the amount of circle the cut off is equal so y also equals 100.
And y + x + 100 + 20 = 360
100 + x + 100 + 20 =360
x + 220 = 360 Subtract 220 from both sides.
x = 140
The debate team is holding
a car wash. They washed
126 cars in 3 hours. At that
rate, how many cars could
they wash in 7 hours?
Answer:
294
Step-by-step explanation:
7/3=2.33333333333
126*2.33333333333=294
{\_/}
( •-•)
\>$
Bunny holding cash and hope this helps
A bag of Super dog food, at $12.85, is one third the price of a bag of power dog food. Write and solve a division equation to find the price of a Power Dog dog food.
Answer:
4.283
Step-by-step explanation:
Divide 12.85 by 3 using a calculator
What is the value of the product (3-2)(3+21)?
5
9 +41
9-41
13
Please help ASAP! I will mark BRAINLIEST! Please answer CORRECTLY! No guessing!
Answer:
C. [tex]b^{27}[/tex]
Step-by-step explanation:
Assume b is a number like 3
([tex]3^{9}[/tex])³=19683³=7625597484987
[tex]3^{24}[/tex]=282429536481
B is definitely wrong. Not even going to try.
[tex]3^{27}[/tex]=7625597484987
D is definitely wrong. Not even going to try.
21.14,7.2,4.5 are these irrational or rational?
Answer:
Rational. They have termination decimals, so the next digit can be predicted. Therefore, those numbers are rational.
Step-by-step explanation:
a right cone has a surface area of 628 cm squared and a diameter of 10cm what is the slant length
Answer:
slant length = 35 cm
Step-by-step explanation:
A right cone has the vertex directly above the center of the base . The surface area of the right cone can be represented below.
surface area = πr(r + l)
where
r = radius
l = slant height/length
surface area = πr(r + l)
r = 10/2 = 5 cm
surface area = 628 cm²
Therefore,
628 = π × 5(5 + l)
628 = 5π(5 + l)
628 = 25π + 5πl
628 = 25 × 3.14 + 5 × 3.14 × l
628 = 78.5 + 15.7l
628 - 78.5 = 15.7l
549.5 = 15.7l
divide both sides by 15.7
l = 549.5/15.7
l = 35 cm
slant length = 35 cm
Answer:
35cm
Step-by-step explanation:
A survey asked 40 students if they play an instrument and if they 20 students are in band.
3. 20 students are not in band.
Which table shows these data correctly entered in a two-way frequency table?
Total
Band
Not in band
D.A.
0
20
20
Play instrument
Dont play
instrument
15
20
5
40
15
25
Total
Toto
Band and play
instrument
Not in band and
play instrument
B.
Not in band and
PREVIOUS
a
Answer: try the answer B
Step-by-step explanation:
can you please help me with this thanks
Answer: 6
Step-by-step explanation:
in a 30 60 90 triangle the hypothenuse is [tex]2a[/tex], long side is [tex]a\sqrt{3}[/tex], and the short side is [tex]a[/tex]
Which inequality represents the phrase below?
a number greater than or equal to 71
A.
x is less than 71
B.
x is greater than 71
C.
x is greater then 71
D.
x is less than 71
Im sorry this does not make a lot of sense
BUT I REALLY NEED THIS
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
i had this one
Write the standard equation for a circle with center (0,0) and radius 8
Answer:
Step-by-step explanation:
hello : an equation is :
x²+y²=64