Answer:
[tex]\begin{array}{cccc}&\text{Prefer Pizza}&\text{Do not Prefer Pizza}&\text{Total}\\\text{Prefer Punch}&23&29&52\\\text{Do not Prefer Punch}&66&7&73\\\text{Total}&89&36&125\end{array}[/tex]
Step-by-step explanation:
There are 125 members.
89 of them preferred pizza and 23 of 89 preferred punch, so 89-23=66 preferred only pizza.
52 members preferred punch, 23 of them preferred both pizza and punch, so 52-23=29 preferred only punch.
Now,
66 members preferred only pizza,
23 members preferred both,
29 members preferred only punch,
125-66-23-29=7 members did not prefer both
The two-way table is
[tex]\begin{array}{cccc}&\text{Prefer Pizza}&\text{Do not Prefer Pizza}&\text{Total}\\\text{Prefer Punch}&23&29&52\\\text{Do not Prefer Punch}&66&7&73\\\text{Total}&89&36&125\end{array}[/tex]
Final answer:
To complete the two-way table, we calculate preferences for pizza only, punch only, both, and neither by using the given numbers. For example, 'Pizza Only' is found by subtracting those who prefer both pizza and punch from the total that prefers pizza.
Explanation:
The student's question is about completing a two-way table with the given data about food preference for an event. According to the information provided, out of 125 members surveyed, 89 preferred pizza, and out of those, 23 also preferred punch. There were 52 members in total who preferred punch. To fill in the two-way table:
Pizza and Punch: This is given directly as 23.
Pizza Only: To find this, subtract those who like both from those who like pizza, 89 - 23 = 66.
Punch Only: Subtract those who like both from the total that like punch, 52 - 23 = 29.
Neither Pizza Nor Punch: Subtract the totals of pizza lovers and punch lovers from the surveyed members, 125 - 89 - (52 - 23) = 125 - 89 - 29 = 7.
Bailey had 75 beads. She used 20 of them on a necklace and 12 of them on a bracelet. Then she bought 25 more beads . How many beads does Bailey have now?
Answer:
68
Step-by-step explanation:
because 75-20= 55 cuz 20 were used
55-12= 43 cuz then 12 more were used
43+25= 68 cuz 25 was added
so 68
a kite has diagonals 9.8 ft and 7 ft what is the are of the kite?
33.6ft^2
34.3ft^2
68.6ft^2
8.4ft^2
Answer:
Area of a kite = 34.3 ft^2
Step-by-step explanation:
a kite has diagonals 9.8 ft and 7 ft
WE are given with the diagonals of the kite
Area of a kite = diagonal 1 * diagonal 2 /2
diagonal 1= 9.8 ft
diagonal 2 = 7ft
Area of a kite = [tex]\frac{9.8 * 7}{2}[/tex]
Area of a kite= 34.3 square feet
A baseball card is originally worth 3$. It increases by 7% every year while the player is still active. After the player retires it increases 10% every year. If a player remains active for 7 years, how much is the baseball card worth after 20 years?
Answer:
[tex]\$16.64[/tex]
Step-by-step explanation:
we know that
The exponential function while the player is still active is equal to
[tex]y=3(1.07)^{x}[/tex]
where
y ----> is the value of the baseball card
x ----> the time in years
Find the value of y for x=7 years (7 years still active)
[tex]y=3(1.07)^{7}=\$4.82[/tex]
After 20 years
x=20-7=13 years (13 years retired player)
The initial value is [tex]\$4.82[/tex]
The new equation is equal to
[tex]y=\$4.82(1.1)^{x}[/tex]
substitute
x=13 years
[tex]y=\$4.82(1.1)^{13}=\$16.64[/tex]
What is the definition of an irrational number?
A. a number that can be expressed as a fraction, , where p and q are integers and q is not equal to zero
B. a number that cannot be expressed as a fraction, , where p and q are integers and q is not equal to zero
C. a negative number
D. a number that is more than 10 digits
Answer:
Answer is B
Step-by-step explanation:
A number that cannot be expressed as a fraction ,where p and q are integers and q is not equal to zero
Answer:
a number that cannot be expressed as a fraction, , where p and q are integers and q is not equal to zero
4 pairs of shoes cost 80$.What is the cost of 7 pairs of shoes
Answer:
$140
Step-by-step explanation:
4 pairs of shoes = $80
( ÷ 4 to get the price of one pair of shoes)
1 pair of shoes = $20
( × 7 to get the price of 7 pairs of shoes )
7 pairs of shoes = $140
Building the set of a play costs a theater $5000. Each performance costs $700. The theater made $1200 worth of tickets. How many performances will have to be put on in order to break even?
Please show your work, thanks!
Answer:
6 performances
Step-by-step explanation:
They already made $1200, so 5000-1200= $3800 left that they need to make, so you need to divide: 3800/700=6 performances to break even (rounded up to the nearest whole number).
The number of bacteria in a petri dish triples every month. If the dish started with 2500 bacteria how much will be in ten months?
Answer:
Below
Step-by-step explanation:
The dish had intially 2500 bacteria. The bacteria triples every month.
So after a month the number will be 7500 =>(2500×3)
So let 2500 be the n0 and 7500 be n1
● n1 = 3×n0
Following the same way we get:
● n2= 3× n1
● n3 = 3× n2
If we kept repeating the same process we will get:
● n9 = n8 × 3
n9 is the number of Bacteria during the 10th month
let's calculate n9.
● n9 = n8 × 3
● n9 = n0 × 3^10
● n9 = 2500 × 3^10
● n9 = 147 622 500
● n9 = 1.476225 ÷ 10^8
The number of bacteria will be 147,622,500 in 10 months according to the GP.
What is geometric progression?A geometric progression (GP), sometimes known as a geometric sequence, is a series of integers that differ by a common ratio.
Given, The dish had initially 2500 bacteria. The bacteria triples every month. So after a month, the number will be (g1) = 2500 * 3 = 7500. Since data is in geometric progression where ratio (r) is 3 and first term (a) is 7500.
Hence, the nth term of GP (Tₙ) = a * rⁿ⁻¹
10th term of Given GP (T₁₀) = 7500 * 3¹⁰⁻¹ = 147,622,500
Therefore, 147,622,500 bacteria will be there in the petri dish after 10 months
Learn more about Geometric progression here:
https://brainly.com/question/12687794
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Trigonometry Ratios
Draw ABC where b = 90 ° and sinA= 12/20
What is the length of AB
What is tan A
What is cos A
[tex]\bf sin(A)=\cfrac{\stackrel{opposite}{12}}{\stackrel{hypotenuse}{20}}[/tex] Check the picture below.
Nolan uses 3 yards of string .He cuts the string into pieces that are 1/6 yard long. how many pieces does nolan have
Answer:
18 pieces
Step-by-step explanation:
Divide the 3 yd string by 1/6:
[tex]\frac{3}{\frac{1}{6} }[/tex]
Rewrite that to look a little more manageable:
[tex]\frac{3}{1}[/tex]÷[tex]\frac{1}{6}[/tex]
And of course you know that if you want to divide fractions, you flip the one on the bottom upside down and change the sign to multiplication:
[tex]\frac{3}{1}[/tex]×[tex]\frac{6}{1}[/tex]
Do that multiplication and you get 18 pieces.
Answer:
18
Step-by-step explanation:
use the law of cosines to find the value of cos theta. round your answer to two decimal places
Answer:
The correct answer option is B. 0.21.
Step-by-step explanation:
We are to find the value of [tex]cos \theta[/tex] using the law of cosines.
We know that the formula of the cosine rule is given by:
[tex] c ^ 2 = a ^ 2 + b ^ 2 - 2 a b cos C [/tex]
So substituting the given values in the above formula:
[tex] 10.9 ^ 2 = 5.8 ^ 2 + 10.5 ^ 2 - 2 (5.8) (10.5) cos C [/tex]
[tex]118.81=33.64+110.25-121.8cosC[/tex]
[tex]118.81 - (33.64+110.25) = -121.8cosC[/tex]
[tex]118.81-143.86=-121.8cosC[/tex]
[tex]cosC=\frac{-25.05}{-121.8}[/tex]
cos C = 0.21
Answer:
B. 0.21
Step-by-step explanation:
Does a rectangle have one line of symmetry
No, it has more than one. A rectangle is symmetric with respect to its diagonals, and the lines connecting the midpoints of two opposite sides.
please help
what is 16 -6%
Answer:
15.04
Step-by-step explanation:
.06 % of 16 is .96 and 16- .96= 15.04
Hope this helps!
The answer is 15.94!!
What is the area of triangle UVW if the area of triangle RST is 36 cm and the scale
factor is 5\2?
320 cm
90 cm
25 cm
225 cm
Answer:
225 cm²
Step-by-step explanation:
The ratio of areas is the square of the scale factor.
area UVW = (5/2)²·area RST = (25/4)(36 cm²) = 225 cm²
How does the graph of [tex]f(x) = -4^{5x}-3[/tex] differ from the graph of [tex]g(x) = -4^{5x}[/tex]?
A. The graph of [tex]f(x)[/tex] is shifted three units to the left of the graph of [tex]g(x)[/tex].
B. The graph of [tex]f(x)[/tex] is shifted three units up from the graph of [tex]g(x)[/tex].
C. The graph of [tex]f(x)[/tex] is shifted thee units to the right of the graph of [tex]g(x)[/tex]
D. The graph of [tex]f(x)[/tex] is shifted three units down from the graph of [tex]g(x)[/tex].
Answer:
D
Step-by-step explanation:
When a number is listed outside the function it is a vertical movement. So negative is down, positive is up!
Inside the function would be left/right. This would have been found in your exponent.
D. The graph of [tex]f(x)[/tex] is shifted three units down from the graph of g(x).
f(x) = [tex]-4^{5x} -3[/tex] and g(x) = [tex]-4^{5x}[/tex]
What is the graph translation Theorem?In general, replacing x with x – h in a mathematical sentence translates its graph h units horizontally. Similarly, replacing y with y – k in a sentence translates its graph k units vertically.
For example, your sketch of Group B should show that the graph of y = x2 + 3 is 3 units above the graph of y = x2.
What is the slope of 4x Y 6?Using the slope-intercept form, the slope is 4 . All lines that are parallel to y=4x−6 y = 4 x - 6 have the same slope of 4 .
To learn more about The graph, refer
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Determine whether the function f(x) = 3(x − 1)4 is even or odd.
Answer:
Other answer.
Step-by-step explanation:
[tex]f(x) = 3(x-1)^4\\ f(-x) = 3(-x-1)^4 = 3\big(-(x+1)\big)^4 = 3(x+1)^4 \\ \\ f(-x)\neq f(x) \\ f(-x)\neq -f(x)\\ \\ \Rightarrow \text{The function is neither odd or even}[/tex]
Answer:
The function is neither even nor odd.
Step-by-step explanation:
Given : Function [tex]f(x)=3(x-1)^4[/tex]
To find : Determine whether the function is even or odd ?
Solution :
Rules to determine the function is even or odd :
If f(x)=f(-x) then the function is even.
If f(x)=-f(x) then the function is odd.
Now, Test for even function
[tex]f(x)=3(x-1)^4[/tex]
[tex]f(-x)=3(-x-1)^4[/tex]
[tex]f(-x)=3(-(x+1)^4[/tex]
[tex]f(-x)=3(x+1)^4[/tex]
[tex]f(x)\neq f(-x)[/tex] so function is not even.
Test for odd function,
[tex]f(x)=3(x-1)^4[/tex]
[tex]-f(x)=-3(x-1)^4[/tex]
[tex]f(x)\neq -f(x)[/tex] so function is not odd.
So, The function is neither even nor odd.
Malcolm buys a 5/6 pound of black beans and a 3/4 pound bag of pinto beans. How many pounds of beans does Malcolm buy in all?
Answer:
19/12 or 1 7/12 lbs
5/6 + 3/4
Find a common denominator, aka least common multiple
So, 5/6 becomes 20/24 and 3/4 becomes 18/24
20/24 + 18/24 = 38/24 which simplifies to 19/12 or 1 7/12
Answer:
19/12 pounds which is equal to 1.583 pounds
Step-by-step explanation:
The total pounds of beans bought is a function of the amount of black beans and the amount of pinto beans. These two added together gives the amount of beans bought.
Given,
Amount of black beans = 5/6 pounds
Amount of Pinto beans = 3/4 pounds
Total pounds of beans purchased = 5/6 + 3/4
=(10 + 9)/12
= 19/12 pounds
= 1.583 pound
Please please help me out!!!!
Answer:
593.0 cm³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = area of triangular end face × length
A of Δ = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 10.2 and h = 10. 2
A of Δ = 0.5 × 10.2 × 10.2 = 52.02 cm², hence
V = 52.02 × 11.4 ≈ 593.0 cm³
A line segment is drawn from (1, 6) to (3, 6) on a coordinate grid. Which answer explains one way that the length of this line segment can be determined? Subtract 6 – 1. Add 6 + 1. Subtract 3 – 1. Add 3 + 1.
ANSWER
Subtract 3-1
EXPLANATION
The given line segment has endpoints at (1,6) to (3,6).
This line is a horizontal straight line because the y-coordinates of both points are the same.
We can therefore use the number line method to find the length of this line segment.
Using this method, we subtract the initial x-value from the terminal x-value.
The best description is:
Subtract 3-1
A market supply schedule shows
the products of two companies only
the prices and quantity in an entire market.
how prices affect a single producer.
how prices affect a group of consumers,
Answer:
the prices and quantity in an entire market.
Step-by-step explanation:
The supply schedule shows the supply changes when the prices are increased or decreased. There is a table which is called market supply schedule or inventory. It lists the amount contributed for a product or service that the suppliers of whole economy are willing and able to supply at all possible prices.
Answer:
B....the prices and quantity in an entire market
Step-by-step explanation:
took test
Please double check for me :)
Did I select the correct boxes?
Hi there, Queen Tima! I hope you're having a great day today!!
You selected the correct boxes!
If I helped out please consider helping me out back by giving me brainliest! Thank you :DD
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Answer:
I would think it's all correct. Not sure about option 2. but I'm 99% sure it's right
Hope this helps :)
Sorry if i'm wrong
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SOMEONE PLEASE HELP ME
IT'S TIMED
Answer:
H = 8 cmStep-by-step explanation:
The formula of a volume of a cylinder:
[tex]V=\pi r^2H[/tex]
We have
[tex]r=6cm,\ V=904.78\ cm^3[/tex]
Substitute:
[tex]\pi(6^2)H=904.78\\\\36\pi H=904.78\qquad\text{use}\ \pi\approx3.14\\\\(36)(3.14)H=904.78\\\\113.04H=904.78\qquad\text{divide both sides by}\ 113.04\\\\H\approx8\ cm[/tex]
Please prove or explain how to get AC, CM, & CP...
AC = 15
CM = 20
CP = 12
All of the right triangles are similar by AA similarity, so corresponding side lengths are proportional. The ratio of the long leg to the short leg is the same for the two smaller triangles, for example:
CP/AP = MP/CP
CP/9 = 16/CP . . . . . fill in the given numbers
CP² = 9·16 . . . . . . . multiply by 9·CP
CP = 3·4 = 12 . . . . . take the square root
Now, you can use the Pythagorean theorem to find AC and/or CM.
AC = √(9² +12²) = √225 = 15
CM = √(12² +16²) = √400 = 20
In summary, CP = 12, AC = 15, CM = 20.
_____
Once you have CM, you can see these are 3-4-5 right triangles, so you can determine the other lengths by using these side ratios.
3:4:5 = 9:12:15 = 12:16:20
_____
The altitude CP is called the "geometric mean" of AP and MP. It is the square root of their product. This is true for any right triangle, not just one with sides in the ratio 3:4:5. If you know this, you can write down your answers almost immediately. Above, we had to derive this fact using similarity.
Which function is a quadratic function? a(x) = –2x^3 + 2x – 6 b(x) = 5x^3 + 8x^2 + 3 c(x) = –8x^2 + 3x – 5 d(x) = 6x^4 + 2x – 3
Answer:
c(x) = –8x^2 + 3x – 5 is a quadratic
Step-by-step explanation:
A quadratic function involves the 2nd power of x: x^2, and may (or may not) involve the 1st and zeroth power of x.
a(x) = -2x^3 is not a quadratic because of that exponent 3; in a quadratic, the highest power is always 2.
b(x) = 5x^3 + 8x^2 + 3 is not a quadratic for the same reason that a(x) is not a quadratic.
c(x) = –8x^2 + 3x – 5 is a quadratic: the highest power of x is x^2, the other powers are x^1 and x^0.
Can someone please help me with this question
Answer:
(x−4)² + (y−5)² = 36
Step-by-step explanation:
The equation of a circle is:
(x−h)² + (y−k)² = r²
where (h, k) is the center and r is the radius.
If the center is (4, 5) and the radius is 6, then the equation is:
(x−4)² + (y−5)² = 6²
(x−4)² + (y−5)² = 36
The price of a stock increased by $6, then decreased by $8. What inteher represents the overall change in the price?
Answer:
Step-by-step explanation:
let x be the price of the stock
the change in price is x+6-8
the equation is x-2, integer is -2
What is the x-value of the solution to the system of equations?
5х + 4y = 8
2x – Зу = 17
О -3
О-2
O4
O 5
Answer: C. 4
Step-by-step explanation:
Jordan has decided to purchase a $17,500 car and would like to finance it for five years. Her bank has offered her a standard 6.9% APR, while the dealership has offered her a special 4.9% APR. How much money will she save each month by choosing financing through the dealership
Answer:
Jordan will save $16.25 each month by choosing financing through the dealership.
Step-by-step explanation:
The EMI formula is :
[tex]\frac{p\times r\times(1+r)^{n}}{(1+r)^{n}-1}[/tex]
Case 1:
p = 17500
r = [tex]6.9/12/100=0.00575[/tex]
n = [tex]5\times12=60[/tex]
Putting the values in formula;
[tex]\frac{17500\times0.00575\times(1+0.00575)^{60}}{(1+0.00575)^{60}-1}[/tex]
=> [tex]\frac{17500\times0.00575\times(1.00575)^{60}}{(1.00575)^{60}-1}[/tex]
EMI = $345.70
Case 2:
p = 17500
r = [tex]4.9/12/100=0.004083[/tex]
n = [tex]5\times12=60[/tex]
Putting the values in formula;
[tex]\frac{17500\times0.004083\times(1+0.004083)^{60}}{(1+0.004083)^{60}-1}[/tex]
=> [tex]\frac{17500\times0.004083\times(1.004083)^{60}}{(1.004083)^{60}-1}[/tex]
EMI = $329.45
So, difference per month in payments will be :
[tex]345.70-329.45=16.25[/tex] dollars
Hence, Jordan will save $16.25 each month by choosing financing through the dealership.
What is the measure of angle D to the nearest whole degree?
I hope this diagram explains it and helps you :)
Answer:
Angle D = arc tangent (72 / 21)
Angle D = arc tangent (3.4285714286)
Angle D = 73.74 Degrees
and to the nearest degree it's 74
Step-by-step explanation:
HELP!!!
The value of x that makes lines a and b parallel is
____ °.
Answer:
x=76°
Step-by-step explanation:
When these lines are parallel, these two angles would be alternate interior angles. This means that they must be congruent
Therefore, x=76°
Answer:
76°
Step-by-step explanation:
Through Alternate Interior Angles theorem.
This theorem is applied when lines a and b are parallel.
Please help me ASAP! Need to find the surface area of both shapes together.
Answer:
The surface area is [tex]SA=1,108\ in^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the composite figure is equal to
The lateral area of the rectangular prism plus the area of the base of the rectangular prism plus the area of the two triangular faces of triangular prism plus the area of two rectangular faces of the triangular prism
so
[tex]SA=2(12+20)(5)+(12)(20)+2[\frac{1}{2}(12)(9)]+2(20)(11)[/tex]
[tex]SA=320+240+108+440[/tex]
[tex]SA=1,108\ in^{2}[/tex]
Answer:
1,108in~2
Step-by-step explanation:
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