Answer:
a(n) = 64*(7/4)^(n - 1)
Step-by-step explanation:
Dividing 112 by 64 results in the common ratio 7/4.
Dividing 196 by 112 also results in the ratio 7/4.
So we can safely assume that the common ratio here is 7/4.
The explicit formula for this sequence is a(n) = 64*(7/4)^(n - 1)
Answer:
1.75
Step-by-step explanation:
1.75 is the value
A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg
rolls, or French fries. He uses a computer program to randomly select three dishes for Monday's lunch.
What is the theoretical probability that applesauce and broccoli will both be offered on Monday?
10%
20%
50%
80%
Answer:
B: 20%
Step-by-step explanation:
The theoretical probability that the applesauce and broccoli dishes will both be offered on Monday is given by P ( A ) = 20 %
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the theoretical probability that the applesauce and broccoli will both be offered on Monday be P ( A )
Now , the equation is
The total number of dishes = 6 dishes
The combination of selecting 3 dishes out of 6 is given by
⁶C₃ = 20 ways
Now , the combination of selecting 2 dishes on Monday = 4 ways
So , P ( A ) = 4 / 20
P ( A ) = 1/5 = 0.20
Therefore , the applesauce and broccoli will both be offered on Monday is given by 20 %
Hence , the probability is 20 %
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A roof on a castle tower is shaped like a cone with a diameter of 12 feet and has a slant height of 13 feet one bundle of Shingles covers 32 ft.² how many bundles should you buy to cover the roof? What is the surface area of the roof ?
Answer:
Step-by-step explanation:
d = diameter = 12ft
r = d/2 = 12/2 = 6ft
Slant height = 13ft
Surface area of cone = π r 2 + π L r
Where L is the slant height of the cone π = 22/7
SA = 22/7×6×6+22/7×13×6
SA = 113.14+245.142
SA = 358.28ft^2
If one bundle of shingle covers 32 ft.²
Hence,358.28ft^2 = 358.28ft^2/32 ft.²
= 11.196
= 11.2 bundles
ZA=
Round your answer to the nearest hundredth.
A
3
С
?
8
B
To find the value of angle A, we'll need to use a trigonometric function. In this case, we are given the adjacent side and the hypotenuse. So, we should use cosine. And because we are finding an angle, we will need to use the inverse cosine.
cos(a) = 3/8
a = cos^-1(3/8)
a = 67.98 degrees
Hope this helps! :)
0.3 repeating as a fraction
Answer:
3/10 or three-tenths
Step-by-step explanation:
Hope this helps=D
Answer:
O.3 = 1/3
Step-by-step explanation:
divide 1÷3
you will get 0.3 to infinity
The zoo also has a merry go round. To set up the merry go round, the zoo manager has to clear some land. The diameter of the merry go round is 18 feet. How much land does the manager need to clear in order to build the merry go round?
Answer:
254.34 m^2
Step-by-step explanation:
To know the amount of land that needs to be cleared, we must calculate the area that this land would occupy.
We know that the area would be determined by:
A = pi * r ^ 2
the radius is half the diameter:
r = d / 2 = 18/2
r = 9
the radius equals 9 feet, replacing:
A = 3.14 * 9 ^ 2
A = 254.34
Therefore, an equivalent amount of land 254.34 square meters would have to be cleared so that it can be built
At Your Town Bike Shop, handle bar streamers are sold in packs of two and beads for spokes are sold in sets of 10. Georgina purchases 2 packs of handle bar streamers and 3 sets of beads for $27.85 before tax. Alexis purchases 1 pack of streamers and 4 sets of beads for $26.30 before tax. If Nana wants to buy 3 packs of streamers and 6 sets of beads, how much will her bill be before tax?
Answer: her bill be before tax is $49.2
Step-by-step explanation:
Let x represent the cost of 1 pack of handle bar streamers.
Let y represent the cost of 1 set of beads for spokes.
Georgina purchases 2 packs of handle bar streamers and 3 sets of beads for $27.85 before tax. It means that
2x + 3y = 27.85- - - - - - - - - 1
Alexis purchases 1 pack of streamers and 4 sets of beads for $26.30 before tax. It means that
x + 4y = 26.3
x = 26.3 - 4y - - - - - - - - - 2
Substituting equation 2 into equation 1, it becomes
2(26.3 - 4y) + 3y = 27.85
52.6 - 8y + 3y = 27.85
- 8y + 3y = 27.85 - 52.6
- 5y = - 24.75
y = - 24.75/-5
y = 4.95
x = 26.3 - 4y = 26.3 - 4(4.95)
x = 26.3 - 19.8
x = 6.5
If Nana wants to buy 3 packs of streamers and 6 sets of beads, her bill before tax would be
(3 × 6.5) + (6 × 4.95) = 19.5 + 29.7
= $49.2
What are our “cheat words” for finding slope?
Answer: y-intercept
Step-by-step explanation:
slove the x in the digram below explain
Answer:
x= 20
Step-by-step explanation:
a flat angle is, in terms of geometry, the space between an intersection between two lines whose opening measures 180 degrees or 180º. Since the angle is 180º there is no difference between two lines or a line and we can say that the angles in a straight line always add up to 180º.
Step 1
define
according to the graph
3x+80+2x=flat angle=180°
3x+80+2x=180°
Step 2
solve for x
3x+80+2x=180°
5x+80=180
subtract 80 in each side
5x+80-80=180-80
5x=100
divide by 5
(5x)/5=100/5
x=20
happy to help:)
Which steps would be used to solve this equation?
StartFraction t Over 3 EndFraction = 2.78
Check all that apply.
Multiply by 3 on both sides of the equation.
Divide by 3 on both sides of the equation.
2.78 ÷ 3 = 0.93, so t = 0.93.
2.78 × 3 = 8.34, so t = 8.34.
Substitute 8.34 for t to check the solution.
Substitute 0.93 for t to check the solution.
Answer:
Multiply by 3 on both sides of the equation.
2.78 × 3 = 8.34, so t = 8.34.
Substitute 8.34 for t to check the solution.
Step-by-step explanation:
To solve the equation [tex]\frac{t}{3}[/tex]= 2.78
we will use the steps below to solve this equation;
First, multiply by 3 on both-side of the equation. That is;
[tex]\frac{t}{3}[/tex] × 3= 2.78 × 3
On the left hand side of the equation 3 will cancel-out 3, leaving us with just t while 3 will be multiply by 2.77 on the right-hand side of the equation to give 8.34
t = 8.34
we can further substitute 8.34 for t to check the correctness of the solution
that is;
[tex]\frac{8.34}{3}[/tex] = 2.78
Answer:
1,4,5
is the answer your welcome1. The cost to rent a movie is $3 for 1 day,
$4 for 2 days, and $5 for 3 days. Describe
the relationship between the cost and the
number of days.
2. Kenji plants 8 seeds in 1 row of his garden,
16 seeds in 2 rows, and 24 seeds in 3 rows.
Describe the relationship between the
number of rows and the number of seeds.
Answer:
i dont really know
Step-by-step explanation:
The price goes up by 1 for every 1 day. 2 times the amount as seeds per day.
8 x 2 = 16 8 x 3 = 24.
Quadrilateral CDEF is inscribed in circle A. Which statements complete the proof to show that ∠CFE and ∠CDE are supplementary?
Quadrilateral CDEF is inscribed in circle A.
Quadrilateral CDEF is inscribed in circle A, so m arc CDE+ m arc CFE= 360°. ∠CFE and ∠CDE are _________________, which means that their measures are one half the measure of their intercepted arcs. So, m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE. Using the _________________, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary.
inscribed angles; substitution property of equality
central angles; substitution property of equality
inscribed angles; addition property of equality
central angles; addition property of equality
Answer:
Inscribed angles, substitution property of equality
Step-by-step explanation:
We know it cant be Central angles because its a quadrilateral so that's 2 answers out. Then you have to substitute each value to end up with 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°, it doesnt make sense to add to both sides so the answer is Inscribed angles and substitution property of equality.
Plus i took the test and its right.
Angles to be proven as supplementary angles are known as inscribed
angles, and they are used as the substitute to known angles.
Response:
Inscribed angles; substitution property of equalityWhich method can be used to determine the correct option to complete the statement?The given information are;
Quadrilateral CDEF is inscribed in circle A
The completed statement is presented as follows;
Quadrilateral CDEF is inscribed in circle A, so [tex]m \widehat{CDE}[/tex] + [tex]m \widehat{CFE}[/tex] = 360°, ∠CFE and ∠CDE are inscribed angles, which means that their measures are [tex]\dfrac{1}{2}[/tex] the measures of the intercepted arcs. So [tex]m \widehat{CDE}[/tex] = 2·m∠CFE and [tex]m \widehat{CFE}[/tex] = 2·m∠CDE. Using the substitution property of equality, 2·m∠CFE + 2·m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementaryThe correct option is therefore;
inscribed angles; substitution property of equalityInscribed angles are angles formed by the intersection of two chords of
a circle.
The substitution property of equality states that variables that are
equal can be substituted by each other in any equation with both sides
of the the equation remaining equal.
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Need help pls have no idea how to this
Answer:
The local minimum point of f(x) is at the point (-2,-2)
Step-by-step explanation:
the minimum point is located on the very bottom of the parabola!
so its cut off but its (-2,-2)
sorry I didnt see the 6,-2
so I am gussing the y-value is the minimum point so it should be -2....tell me if I am wrong but if your looking for a points it (-2,-2) if your looking for the value it would be -2
pls mark me brainliest
PLSSS HELP WLL GIVE BRAINLIEST!
Answer:
The order from top is
8 - 3
1 - 35
3 - 50
7 - 3/5
Step-by-step explanation:
PLSSS HELP!! WILL GIVE BRAINLIEST!
Answer:
Although it's blurry, I believe y is equal to 3.
Step-by-step explanation:
You can see where x (the horizontal line) = 7, then go up to where the diagonal line meets that point, which is at y (the vertical line) = 3.
Answer:
y = [tex]2 \frac{11}{12}[/tex] gallonsStep-by-step explanation:
The water run at a constant speed with the slope of 5/12.
Slope-intercept form would be y = 5/12x.
So if we were to plug it in the equation,
y = 5/12 (7) = 35/12 or 2 11/12.
Hope this helps ;D
At a restaurant, 40% of customers order tacos and 60% order fajitas. Of the customers that order tacos, 50% order a chicken tacos. Of the customers that order fajitas, 30% order chicken fajitas. What is the percentage of customers that order a chicken dinner (either chicken tacos or chicken fajitas)?
Answer:
38% order a chicken dinner
Step-by-step explanation:
40% order tacos. 50% of 40% order chicken tacos. 50% of 40% = 0.5 * 0.4 = 0.2 = 20% order chicken tacos.
60% order fajitas. 30% of 60% order chicken fajitas. 30% of 60% = 0.3 * 0.6 = 0.18 = 18% order chicken fajitas.
20% + 18% = 38% order a chicken dinner.
Seventeen more than the product of a number and -3 is less than -29 plz answer
Answer:
-3x + 17 < -29
Step-by-step explanation:
What is a intersection
Answer:
Intersection means a line common to other lines and an action of intersection/intersecting.
hope it helps!
An economy package of cups has 750 green cups. If the green cups are 30% of the total package, how many cups are in the package?
Answer:
2500 cups
Step-by-step explanation:
Let c = total cups
c*30% = green cups
c*.30 = 750
Divide each side by .30
.30c/.30 = 750/.30
c =2500
Sara is a drummer in her school’s marching band. She wants to make a geometrically similar model of a snare drum for her stuffed animals. To find the dimensions she should use to make a cylinder model with a scale of 1:4, Sara measures the radius and height of a snare drum and multiples each dimensions by 1/2, which statement is true?
A. a cylinder with Sara’s dimensions will be geometrically similar, and scale factor will be 1:4
B. A cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:2
C. a cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:8
D. a cylinder with sara’s dimensions will not be geometrically similar
The ratio 1:4 would be the same as if it was written as 1/4.
Because she multiplied the dimensions by 1/2, that would be a ratio of 1:2
The answer is:
B. A cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:2
Needs answered ASAP
What is the volume of the triangular prism below?
Answer:
172.5 inches cubed
Step-by-step explanation:
factor the binomials using gcf 16p + 4
Use a geometric model to factor 2x2 - x - 1 by following
these steps:
Step 1: Model the polynomial by placing tiles in the
Product section.
Answer: It is not a perfect rectangle
Step-by-step explanation: Put 2 x2 tiles side by side horizontally then place an -x tile be side it then an - tile next to the x tile
Answer:
Step 4: What is the factored form of this trinomial?
✘ O A. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] + 1 )
✔ ∅ B. (2[tex]x[/tex] + 1 ) ( [tex]x[/tex] - 1 )
✘ O C. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] - 1 )
What does Keaton spend the most money on?
Keaton's Monthly Spending
What does Keaton spend the least money on?
Food
Keaton spends about as much money on rent as he
does on
Rent
Clothes
Hygiene Products
Entertainment
Answer:FOOD, HYGIENE, ENTERTAINMENT
Step-by-step explanation:
The answer is:
foodHygiene ProductsEntertainmentWhat is Data?Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.
According to the given information
a)Keaton spend the most money on Food.
b) Keaton spend the least money on Hygiene Products.
c) Keaton spends about as much money on rent as he does on Entertainment.
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Anwar selects a playing card at random from the following 666 cards:
\{{left brace 999 of hearts, 555 of spades, 666 of hearts, 222 of spades, 444 of hearts, 777 of hearts\}}right brace
Let AAA be the event that Anwar selects an even-numbered card and BBB be the event that she chooses a heart.
Which of the following statements are true?
Answer:
We have 6 cards.
9 of hearts
5 of spades
6 of hearts
2 of spades
4 of hearts
7 of hearts.
A is the event where Anwar selects an even numbered card.
B is the event where she choses a heart.
we have 3 even cards (and two of them are hearts)
we have 4 hearts (2 of them are even)
The probability of event A is Pa = 3/6 = 1/2
the probability of event B is = Pb = 4/6 = 2/3
The probability of event A and Event B is the number of heart cards with even numbers, that are 2 divided the total number of cards:
Paandb = 2/6 = 1/3
the probabilty of A if we know that B is true:
P(AIB) = 2/4 = 1/2 (this is because we have 4 hearts, and we know that 2 of those 4 cards are even)
the probability of B if we know that A is true:
P(BIA) = 2/3 (this is because we have 3 even cards, and 2 of them are hearts)
Answer:
A,B,C,E
Step-by-step explanation:
Khan.
TRUST ME!!!!!!!!!!!! THIS IS RIGHT!!!!!!!
select two values of x that are roots of this equation (picture included)
x^2+2x-5=0
Answer:
B and D
Step-by-step explanation:
i took this test
The roots of the equation will be - 1 - √6 and - 1 + √6. Then the correct options are B and D.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The quadratic equation is given below.
x² + 2x - 5 = 0
The solution of the quadratic equation will be
x² + 2x - 5 = 0
Add 1 on both sides, then the equation will be
x² + 2x + 1 - 5 = 1
x² + 2x + 1 = 1 + 5
(x + 1)² = 6
Taking square root on both sides, then the equation will be
x + 1 = ±√6
x = - 1 ±√6
Then the roots of the equation will be - 1 - √6 and - 1 + √6.
Then the correct options are B and D.
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Donna took twice as long to drive 720 miles and Maple took to drive 200 miles. Find the rates and ties of both if Donna's speed exceeded that of Maple by 40 miles per hour
Answer:
Donna traveled for 8 hours at 90 mph
Maple traveled for 4 hours at 50 mph
Step-by-step explanation:
The velocity at which each person traveled is given by the distance traveled divided by the time spent (t). From the information given, the following expressions can be written
[tex]t_d = 2t_m\\V_d = V_m+40\\V_d = \frac{720}{t_d}\\V_m = \frac{200}{t_m}\\\\V_d = \frac{360}{t_m}\\ \frac{360}{t_m}=\frac{200}{t_m}+40\\t_m = 4\ hours\\t_d=2*4 = 8\ hours\\\\V_d = \frac{720}{8}=90\ mph\\V_m = \frac{200}{4}=50\ mph\\[/tex]
Therefore, Donna traveled for 8 hours at 90 mph and Maple traveled for 4 hours at 50 mph.
A stunt man wants to drive a car off a ramp at an angle of 35∘ from the ground. He already has a ramp with an angle of 15∘. He plans to add a second ramp on top to increase the angle to 35∘. What angle measure does the second ramp need to have?
The second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.
Here,
To find the angle measure the second ramp needs to have, we can use the concept of angles of elevation and depression.
When the car drives off the first ramp, it will be going at an angle of 15° from the ground, and the angle of elevation from the ground to the car will also be 15°.
This is because the angle of elevation is the angle between the horizontal line and the line of sight from the ground to an object above the ground.
Now, when the car reaches the top of the first ramp, it will be at the same level as the second ramp.
At this point, the car needs to continue its ascent with an additional angle of 20° (35° - 15°) to reach the desired angle of 35° from the ground.
So, the second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.
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A scientist created a scatterplot to display the height of a plant over a 12-day period. Plant Height A graph has days on the x-axis and height (inches) on the y-axis. A trend line goes through points (5, 3) and (12, 7). Which is the equation of the trend line that is shown? y = StartFraction 1 Over 7 EndFraction x + StartFraction 4 Over 7 EndFraction y = StartFraction 1 Over 7 EndFraction x + StartFraction 16 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x minus StartFraction 1 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x + StartFraction 1 Over 7 EndFraction
Answer:
The correct option is (D) [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].
Step-by-step explanation:
The two-point form for the equation of straight line is:
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})[/tex]
The two points provided are:
A = (5, 3)
B = (12, 7)
Compute the equation of the trend line as follows:
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})\\\\(y-3)=\frac{7-3}{12-5}\ (x-5)\\\\(y-3)=\frac{4}{7}\ (x-5)\\\\y-3=\frac{4}{7}\ x-\frac{20}{7} \\\\y=\frac{4}{7}\ x-\frac{20}{7}+3\\\\y=\frac{4}{7}\ x+\frac{-20+21}{7}\\\\y=\frac{4}{7}\ x+\frac{1}{7}[/tex]
Thus, the equation of the trend line is [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].
The correct option is (D).
Answer:
D
Step-by-step explanation:
Find the area of this circle. Use 3.14 for piπ.
Answer:
A =452.16 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
A = 3.14 (12)^2
A =452.16 ft^2
Answer:
452.16ft^2
Step-by-step explanation:
So to answer this You need to use the formula A=πR^2
Step one is Figuring out what the equation is so A= (3.14)12^2Now what is 12 squared? The answer is 144ftStep three Multiply 144 by 3.14 since that is for PI to get 452.16ft^2Consider the trinomial x2 - 9x + 18.
Which pair of numbers has a product of ac and a sum
of b?
Answer:
the answer is -6 and -3
Step-by-step explanation:
Answer:
-3 and -6.
Step-by-step explanation:
ac = 1 *18 = 18
b = -9
The 2 numbers required are -3 and -6.
