Answer:
65:1
87:1.00
5:2
60:2.40
2.00:80
200:1
Which phrase describes the algebraic expression 5 t minus 2? i need help
5t-2
i think this is the answer, hope this helped! :T
Which of the following can be used to show that these two triangles are
congruent?
Find an explicit formula for the geometric sequence below.
Answer:
see explanation
Step-by-step explanation:
The nth term ( explicit formula) of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{\frac{4}{3} }{-2}[/tex] = - [tex]\frac{2}{3}[/tex] , then
[tex]a_{n}[/tex] = - 2 [tex](-\frac{2}{3}) ^{n-1}[/tex] ← explicit formula
Answer:
Step-by-step explanation:
The formula for an explicit geometric formula (as opposed to a recursive one) is
[tex]a_n=a_1(r)^{n-1}[/tex] where a(n) is representative of the position of a number in the sequence, a(1) is the first number in the sequence, and r is the common ratio. The common ratio is the same number that must be either multiplied in or divided out to get to the next number in the term. Notice that the top numbers in our sequence are doubling which implies we are multiplying the top numbers by -2, and the bottom numbers are going up by multiples of 3. So our common ratio is -2/3. Try it and see:
[tex]-2(-\frac{2}{3})=\frac{4}{3}[/tex] and
[tex]\frac{4}{3}(-\frac{2}{3})=-\frac{8}{9}[/tex] etc.
Therefore, the explicit geometric formula for this sequence is
[tex]a_n=-2(-\frac{2}{3})^{n-1[/tex]
You can use this formula to find any number in the sequence; for example, if you wanted to know the 100th number in this sequence, simply replace n with 100 and do the math. That's what an explicit formula is used for.
there are 320 students
36 more boys than girls
work out the fraction of boys to girls
Answer:
89 boys to 71 girls, 89:71, or 89/71
Step-by-step explanation:
x+x+36=320
2x+36=320
2x=284
x=142
This means that there are 142 girls.
142+36=178 boys
Simplify the fraction by dividing both numbers by two.
Choose the correct center and radius for the circle with the equation x2 + (y − 8)2 = 49. A. center (0, 8); radius 49 B. center (8, 0); radius 7 C. center (0, −8); radius 7 D. center (0, 8); radius 7
Answer:
D
Step-by-step explanation:
the center is (0,8)
(to solve this just flip the signs on the constants being added to x and y (there is an invisible constant of 0 being added to the x))
the radius is 7 (or √49)
Karissa made a giant circular sugar cookie for dessert. She wants to frost it. The cookie has a 14 inch diameter. How many square inches of frosting are needed to cover the entire top of the cookie?
Answer:
153.86in^2
Step-by-step explanation:
Area of a circle = πr²
Where : = π = pi = 3.14
R = radius = 14/2 = 7
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
7² x 3.14 = 153.86
A radius is half of the diameter
The solar array panels on the outside of the International Space Station are about 240 feet long by 40 feet wide. What is the area of the top face of one solar array panel? Show your work, including the formula used to solve the problem.
Answer:
Area cover by solar panel to face = 9,600 feet²
Step-by-step explanation:
Given:
Length of Solar panels = 240 feet
Width of Solar panels = 40 feet
Find:
Area cover by solar panel to face
Computation:
Area of rectangle = Length × Width
Area cover by solar panel to face = Length of Solar panels × Width of Solar panels
Area cover by solar panel to face = 240 × 40
Area cover by solar panel to face = 9,600 feet²
Answer:
Area cover by solar panel to face = 9,600 feet², The panels are about 340 feet Long, and 40 feet Wide. The area of this rectangle is a Length x Width.
Step-by-step explanation:
I don't really know if this helps, but If you use it change some words since this is what I wrote, or because we might have the same school districts, I don't want any trouble.. But if you need help understanding a bit more, ask me! ^.^
If this does help: Your welcome, bubs <3
A road toll is 3¢ for 5 kilometers. How much for 125 kilometers?
Answer:i think it would be 75 cents
Step-by-step explanation:
125 divided by 5 and you get 25, then you fo 25 times 3
Answer:
75 cents
Step-by-step explanation:
x= 5 kilometers
y= 3 cents
y/x= rate of change
3/5= 0.6
125 kilometers is the x variable so y= 0.6(125)
y= 75
The measure of angle 1 is 62 degrees. Find the measure of angle 2.
Answer:
124
Step-by-step explanation:
Answer:
if it equals 180 degrees total then 118 but if it equals 90 degrees total then 28
Step-by-step explanation:
If a coin is flipped 50 times about how many times will you get heads?
Answer:
um, how would anyone knowthis...
Step-by-step explanation:
You buy a video game and pay for it with a $50 bill. Write an expression that can be used to find out how much change you should receive.
Answer:
The answer is given below.
Step-by-step explanation:
Let us assume the cost of the video game be x
There should be two chances
The first one is
that the cost of the video game should be equivalent to the amount given
SO
The return is $0
The second one is
When the cost of the video game is less than the amount you pay
SO, the return change is
= $50 - x
Elsa rented a movie. She started the movie at 5:43 PM, and it was 2 hours 44 minutes long. When did the movie end?
Answer:
8:27 p.m.
Step-by-step explanation:
5:43 + 2:44
~~~
43+44= 87
87-60= 27
~~~
5+2= 7
7+1 (from the subtracted 60)= 8
~~~
8:27 p.m.
Hope this helps! Have a nice day :)
A mirror is placed on the ground 20 feet away from the base of a tree. A 6 foot tall person stands 4 feet past the mirror and can just see the top of the tree in the mirror. How tall
is the tree?
X
6 feet
4 feet
20 feet
Answer:
,4 feet is the height of the tree
Answer:
4 feetStep-by-step explanation:
#CARRY ON LEARNING69 minutes equals how many hours and minutes?
Answer:
1 hour and 9 minutes
Step-by-step explanation:
5. The lengths of the legs of a right triangle are 4.5 inches and 6 inches. What is the length of the hypotenuse?
Answer:
The hypotenuse is (root) 84.25
Step-by-step explanation:
4.5^2 + 6^2 = x^2 (hypotenuse)
20.25 + 36 = 84.25
x^2 = 84.25
x = (root) 84.25 or 9.1787...
Anthony owns a small business selling bagels. He knows that in the last week 3 customers paid cash, 33 customers used a debit card, and 34 customers used a credit card.Anthony owns a small business selling bagels. He knows that in the last week 3 customers paid cash, 33 customers used a debit card, and 34 customers used a credit card.
Answer:
Based on these results, express the probability that the next customer will pay with cash as a fraction in simplest form : -> 3/70 <-
Step-by-step explanation:
(Trust me)
what is the radius of the cone?
Answer:
r = 6 in
Step-by-step explanation:
[tex]V = \pi r^{2} \frac{h}{3}[/tex] = [tex]216\pi[/tex]
r²h/3 = 216
r² (18/3) = 6 r² = 216
r² = 216/6 = 36
r = 6
the sum of 1/2 , 1/4 and 2/5 as a mixed number and in it's simplest form
Given point A (3, 8) and point B (-5, 1). Find the following: a.) The coordinates of the midpoint of segment AB. Write your answer in this form: (x, y) (7 points) b.) Using the distance formula, find the length of segment AB. Round to the nearest hundredth. (7 points) c.) Find the slope of segment AB. (if your answer is a fraction, use the "/" symbol) (7 points)
Answer:
Mid point:
[tex] = ( \frac{3 + - 5}{2} , \: \frac{1 + 8}{2} ) \\ = ( - 1, \: 4.5)[/tex]
distance:
[tex] = \sqrt{ {( - 5 - 3)}^{2} + {(1 - 8)}^{2} } \\ = \sqrt{64 + 49} \\ = \sqrt{113} \\ = 10.6 \: units[/tex]
slope:
[tex] = \frac{1 - 8}{ - 5 - 3} \\ = \frac{ - 7}{ - 8} \\ = \frac{7}{8} [/tex]
Select all the correct answers.
Which of these statements about algebra are true?
what are the statements?
can anyone PLEASE give me an example of sample space in probability regarding statistics that does not include tossing a coin or rolling a die/dice? i'm giving 20 points plz i hope u have a good day if u reading this
Answer:
See below.
Step-by-step explanation:
A spinner has 12 equal-sized sectors labeled 1 to 12.
The sample space is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.
The sample space is all the possible outcomes of an event.
Find the length of the side a.
Give your answer rounded to 1 DP.
Answer:
[tex] \frac{10}{5} = \frac{x}{5} \\ 5x = 50 \\ x = 10[/tex]
Answer:
x=5.8m after converting into 1 decimal place
Step-by-step explanation:
Jada walks up to a tank of water that can hold up to 15 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 12 gallons of water. Five minutes later, the tank contains 10 gallons of water.
Type your answers in the blanks below.
At what rate is the amount of water in the tank changing? Use a signed number, and include the unit of measurement in your answer.
How many more minutes will it take for the tank to drain completely?
________minutes
How many minutes before Jada arrived was the water take completely full?
_________ minutes
Answer:
A) -2/5 gal/min
B) 25 minutes
C) 7.5 minutes
Step-by-step explanation:
A) We are told that the tank contains 12 gallons of water when Jada first sees it.
5 minutes later, it loses two gallons to become 10 gallons.
Thus, rate at which the amount of water in the tank changing = -2/5 gal/min
B) After 5 minutes it contains 10 gallons. Since it drains at 2/5 gal/min, let us say the time to finish draining all is x, thus;
2/5 • x = 10
x = 10 × 5/2
x = 25 minutes
C) When full, it can hold up to 15 gallons. This is 3 more than the 12 she saw when she arrived.
Thus;
2/5 • y = 3
y = 5 × 3/2
y = 7.5 minutes
can someone help me please the problems are above i think or below whatever way they show up for people who help me
Answer
a. The volume is multiplied by 4
b. The volume is doubled
Explanation
a. The volume of a cone with radius r and height h is [tex]\pi r^2 h/3[/tex]. If the radius is doubled, the new volume will be [tex]\pi (2r)^2h/3[/tex], which is equal to [tex]4\pi r^2h/3[/tex]. This means that the volume is multiplied by 4.
b. The volume of a cone with radius r and height h is [tex]\pi r^2 h/3[/tex]. If the height is doubled, the new volume will be [tex]\pi r^2(2h)/3[/tex], which is equal to [tex]2\pi r^2 h/3[/tex]. This means that the volume is multiplied by 2.
A 10 foot ladder is leaning up against a building. If the ladder makes a 46° angle
with the ground. How far up the building will it reach? Round your answer
to three decimal places.
Answer:
7.193 ft
Step-by-step explanation:
|\
| \
| \
| \
h | \ 10 ft
| \
| \
| 46° \
---------------------
For the 46° angle, h is the opposite leg. The hypotenuse is 10 ft. The sine is the trig ratio that relates the opposite leg to the hypotenuse.
sin A = opp/hyp
sin 46° = h/10
h = 10 sin 46°
h = 7.193
Answer: 7.193 ft
A. complementary
B. supplementary
C. vertical
D. no relationship
Answer: a - complementary (im not completly sure tho)
Step-by-step explanation: a complementary is either of two angles whose sum is 90°
HELP. Please! PLEASE HELP. what is the answer to this.
Answer:
72 square inches
Step-by-step explanation:
The surface area is the sum of all the sides' areas.
**I am assuming the pyramid is a square pyramid based on observation.
There is one 4 by 4 square: area = [tex]4^2=16[/tex]
There are 4 congruent triangles with height 7 and base 4: area of a single triangle = 1/2 * b * h; [tex]\frac{7*4}{2}=14[/tex]
14 * 4 = 56
Add 56 and 16 = 72
Answer:
72 square inches
Step-by-step explanation:
The surface area is the sum of all the sides' areas.
**I am assuming the pyramid is a square pyramid based on observation.
There is one 4 by 4 square: area =
There are 4 congruent triangles with height 7 and base 4: area of a single triangle = 1/2 * b * h;
14 * 4 = 56
Add 56 and 16 = 72
Step-by-step explanation:
find the length HELP PLSSS
There are 15 yellow marbles in a jar. Yellow is the only color of marbles in the jar. You take out one yellow marble and do not replace it. Then you pick a 2nd yellow marble. In this case, how do you calculate the probability of picking 2 yellow marbles separately?
Answer:
what does the color of the marble matter for?
Step-by-step explanation:
i am just wondering sorry
Percentages and is
An article costing GH 2000.00 is sold at a
profit of 60%. Calculate the selling price
of the article.
Answer:
GH 5000
Step-by-step explanation:
Given data
Cost price= GH 2000.00
Percent profit= 60%
Sales price =???
The sale price can be found as
% profit= sale-cost/sale*100
60= sale-2000/sale*100
60= 100*sale-200000//sale
60*sale= 100sale-200000
1000sale-60sale= 200000
40sale= 200000
sale= 200000/40
sale= 5000
Hence the sales price = GH 5000