In bowling, knocking down all of the pins with the first ball of a frame is called a strike. Roni is practicing bowling and gets a strike times out of attempts. Her goal is to have a minimum strike rate of . Which inequality could Roni use to determine the minimum number of consecutive strikes she needs to achieve her goal?

Answer:

A

Step-by-step explanation:

In a function no X's can repeat which is what the vertical line test is. And in this case no X's repeat therefore, making it a function.

Answer:

No, it fails the vertical line test

Step-by-step explanation:

This is not a function.  It does not have a one to one correspondence.  There are x values that have more than one y value.  It fails the vertical line test

Answer: 151,200 combinations

Step-by-step explanation:

So we want to order the numbers 1, 2, .... , 9 in a:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

such that the sum in each row is an odd number.

if we add 3 odd numbers we have an odd number.

if we add 2 even numbers, and an od number, we have an odd number.

where the rows are in this case (1, 2, 3), (4,5,6) and (7, 8, 9)

We have 4 even numbers and 5 odd numbers, so one combination can be:

[tex]\left[\begin{array}{ccc}1&5&3\\4&7&6\\2&8&9\end{array}\right][/tex]

Now, we for this option we can:

permute the numbers in each row: c =3*2*1 options per row and permute the rows, also c = 3*2*1

So only for this combination we have: P = (3*2)^4 possible ways of writing it.

Now, let's find the different combinations of numbers, so you can expect that we will find a lot of combinations, now let's construct them:

Suppose that in the first row we have two even numbers and 1 odd, then for the first even number we have 4 options, for the second 3 options, and for the odd number 5 options, so we have 4*3*5 combinations.

For the second row we also want two even numbers and one odd.

For the first even number we have 2 options, for the second one, and for the odd number we have 4 options, so we have 4*2*1 combinations.

In the last row we want the other 3 odd numbers, so we have 3*2*1 combinations, this adds to:

C = (4*3*5)*(3*2*1)*(4*2*1) = 2880 combinations.

If we add the fact that the rows can interchange positions, we have other 3*2*1 combinations:

C = 2880*3*2 = 16,800 and if now we add the fact that the numbers in the first two rows can permute (it is not the same (2, 4, 5) than (2, 5, 4) or (4, 2, 5)) (this happens because in these two rows we have different types of numbers, while in the third one the permutations are already included)

So the thing that can change in the first two rows is the position of the odd number, can be first, second or third, so we have other 3 permutations for the two first rows:

C = 16,800*3*3 = 151,200  which is the total number of  different combinations.

Answer:

I am grade a man who is not in my life and I am 97 and the other is that 93inches is the urge for the pain of his life and I think that he is not a good person to be a

Answer:

2x=y

Step-by-step explanation:

Done

Just take the function, and wherever it says 'x', substitute '-3' .

Then it'll say  f(-3) = -2(-3)² - 7(-3) + 6 .  Surely you can solve that.

As my old Electronic Circuits professor used to tell us, back around 1962:

"If  

f(x) = -2x² - 7x + 6

then

f(cow) = -2cow² - 7cow + 6 ."

Of all the things I learned from him, this is the thing I remember most.  

Answer:

Solution,

[tex]f(x) = - 2 {x}^{2} - 7x + 6 \\ f( - 3) = - 2 \times {( - 3)}^{2} - 7 \times ( - 3) + 6 \\ \: \: \: \: \: = - 2 \times 9 - ( - 21) + 6 \\ \: \: \: = - 18 + 21 + 6 \\ \: \: \: = 3 + 6 \\ \: \: \: \: \: = 9[/tex]

hope this helps...

Good luck on your assignment..

Answer:

2(t + 6) - 5

Step-by-step explanation:

If we are strictly following the directions, we first add t and 6 together:

t + 6

Then we multiply by 2 AFTER we add the 2 together:

(t + 6)2

At last, we subtract 5 from everything after:

2(t + 6) - 5

And we have our answer!

Answer:

2(t+6)-5

Step-by-step explanation:

The unknown number is t

=> Adding 6 will make it t+6

=> Multiplying by 2 will make it 2(t+6)

=> Subtracting 5 will make it 2(t+6)-5

Answer:60 degrees

Step-by-step explanation:BAC =90 Degrees

BAD= 30 degrees

Since BAD and DAC are complementary angles, they add up to 90 degrees

So, 90 degrees-30 degrees= DAC which is =60 degrees

HOPE IT WAS CLEAR

Angle DAC is determined to be 60 degrees as it is complementary to angle BAD, which measures 30 degrees.

According to the given information, angle BAD measures 30 degrees. It is stated that angle BAD and angle DAC are complementary angles, meaning they add up to 90 degrees.

To find the measure of angle DAC, we subtract 30 degrees from 90 degrees:
90 degrees - 30 degrees = 60 degrees.

Therefore, the angle DAC measures 60 degrees.

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Answer:

i'm sorry but the answer is 1.152

Answer:

[tex]1.152[/tex]

Step-by-step explanation:

[tex] \: \: \: \: \: 0.312 \\ + 0.14 \\ + 0.7 \\ =1.1 52[/tex]

hope this helps you.

Answer:

Total Surface Area =

148cm²

Explanation:

in the picture

The total surface area of cuboid is 158 cm².

The surface area of a cuboid is the total area of all of the faces of a cuboid.

If, the length (l), width (w), and height (h) of the cuboid

then, use the formula: surface area (SA)=2lw+2lh+2hw.

Here, given that,

l = 6cm

w = 4cm

h = 5cm

So, required total SA = 2( 24+30+20)

                                   =158 cm²

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Answer:

[tex]3t^9[/tex]

Step-by-step explanation:

Image attached below.

Answer:

£160.

Step-by-step explanation:

Mario receives 3 / (4+3+9) = 3/16 of the money.

So by proportion the total amount of money

=  96 * 16/3 = £512

So Rachel receives  4/16 = 1/4

= 512 / 4

= £128.

- and Sanjit receives 9/16

= 512 * 9/16

= £288

The difference is 288 - 128 = £160.

Answer: y=-64

Step-by-step explanation:

From the first sentence: the value of y varies directly with x:

y∝x

y=cx where c=variation constant

When y=40 x=-5

40=-5c

Therefore c=-8

To find y when x=8

y=cx where c=-8 and x=8

y=-8*8

y=-64

Hey there! :)

Answer:

x = 3.

Step-by-step explanation:

Begin by setting up a ratio comparing the small triangle to the large triangle. Remember, combine the values of the parts of the sides given to find the total lengths of the sides:

2x + x + 5 = 3x + 5

4 + 3 = 7

Now, we can set up a ratio:

[tex]\frac{x+5}{4}=\frac{3x+5}{7}[/tex]

Cross multiply:

7(x + 5) = 4(3x + 5)

Distribute:

7x + 35 = 12x + 20

Subtract 7x from both sides:

35 = 5x + 20

Subtract 20 from both sides:

15 = 5x

Divide both sides by 5:

x = 3.

Answer:

Step-by-step explanation: You can find the value of x with a little knowledge about proportions between similar polygons. The sides with lengths relative to x are similar to each other meaning that you can use the proportion: x/3x+5 = 4/7 solve for x by cross multiplying and you will get the value of x.

Answer:

Actually the correct answer is the last option.

Step-by-step explanation:

I just took the quiz on edge

The function given in the option (4) has the steepest slope.

For option (1)

Let's calculate the slope for given values of x and y in option (1)

First, let's consider the points (3,10) and (6,13):

[tex]x_1=3, x_2 =6[/tex] and [tex]y_1 = 10, y_2=13[/tex]

[tex]x_2-x_1=6-3=3[/tex]

and [tex]y_2-y_1= 13-10 =3[/tex]

Now, the formula for slope is:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

So, for these points,

[tex]m=\dfrac{3}{3}[/tex]

[tex]m=1[/tex]

Next, for points (6,13) and (9,16):

[tex]x_2-x_1=9-6=3[/tex]

and [tex]y_2-y_1=16-13 =3[/tex]

then, slope is:

[tex]m=\dfrac{3}{3}[/tex]

[tex]m=1[/tex]

Similarly, for points (9,16) and (12,19):

Slope is 1.

Hence, for the data given in option (1), slope is 1.

Now for option(2);

From the given graph, we can see the co-ordinates are (1,0) and (0,-2)

[tex]x_1=1,y_1=0[/tex] and [tex]x_2=0, y_2=-2[/tex]

[tex]x_2-x_1= -1[/tex] and [tex]y_2-y_1=-2[/tex]

Thus, the slope is:

[tex]m = \dfrac{-2}{-1}[/tex]

[tex]m=2[/tex]

Now for option (3):

From the given graph, it is clear that the co-ordinates are (0.5,0) and (0,1)

[tex]x_1= 0.5, x_2=0[/tex] and [tex]y_1=0, y_2=1[/tex]

[tex]x_2-x_1=0.5[/tex] and [tex]y_2-y_1= 1[/tex]

Thus, the slope is

[tex]m = \dfrac{1}{0.5}[/tex]

[tex]m =2[/tex]

Now, for option (4):

First, let's consider the points (2, -4) and (4, -12)

[tex]x_1= 2, x_2= 4[/tex] and [tex]y_1= -4, y_2=-12[/tex]

[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1=- 8[/tex]

slope is:

[tex]m = \dfrac{-8}{2}[/tex]

m =-4

Now, for points  (4, -12) and (6, -20):

[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1= -8[/tex]

Then, the slope is:

[tex]m= \dfrac{-8}{2}[/tex]

m = -4

Similarly, for points (6, -20) and (8, -28):

Slope is -4.

That means for the data given in  option (4)  slope is -4.

Hence, the slope for the option (4) is steepest.

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Answer:

the answer is 6 just check it

Answer:

[tex] {3x}^{2} + 2x[/tex]

Solution,

[tex]x(3x + 2) \\ = x \times 3x + x \times 2 \\ = {3x}^{2} + 2x[/tex]

hope this helps...

Good luck on your assignment..

Answer:

3x²+2x

Step-by-step explanation:

=> x(3x+2)

Using distributive property

=> (x*3x)+(x*2)

=> 3x²+2x

Answer:

140

Step-by-step explanation:

Sum of angles around a point = 360

So, if one angle 8 reflex and measures 220, it’s adjacent side measures.

360-220 = 140.

Hope this helps.

Good Luck

Answer:

equilateral acute

Step-by-step explanation:

Answer:

Equilateral Acute Triangle

Step-by-step explanation:

Answer:

280 kg

Step-by-step explanation:

279.98... so it rounds up to 280

Answer:

58kg

Step-by-step explanation:

127 pounds to kg is 57.606 kgs

divide pounds by 2.205

Answer:

2730

Step-by-step explanation:

We want to determine the greatest common divisor of the elements of the set  [tex]S = \{ n^{13} - n \mid n \in \mathbb{Z} \}.[/tex]

We apply the Fermat's little theorem which states that if p is a prime number, then for any integer a, the number aᵖ − a is an integer multiple of p.

Now, [tex]n^{13} \equiv n \mod p [/tex] if p-1 divides 12.

Since the  of 12 are 1,2,3,4, 6, 12, the corresponding primes are 2, 3, 5, 7, 13.

Therefore, the gcd of the elements in [tex]2^{13}-2[/tex] and [tex]3^{13}-3$ is 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13.[/tex]

2*3*5*7*13=2730

Therefore, the gcd of the elements in set S is 2730.

Answer:

3n

Step-by-step explanation:

Answer:

∠ A ≈ 16.67°

Step-by-step explanation:

Using the Sine rule in Δ ABC

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex] , substitute values

[tex]\frac{8}{sinA}[/tex] = [tex]\frac{16}{sin35}[/tex] ( cross- multiply )

16 sinA = 8 sin35° ( divide both sides by 16 )

sin A = [tex]\frac{8sin35}{16}[/tex] , thus

∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{8sin35}{16}[/tex] ) ≈ 16.67° ( to 2 dec. places )

Answer:

Obi's age is 18 and Oba's age is 9

Step-by-step explanation:

Let Obi's age be x and Oba's age be y

Condition 1:

x = 2y -----------(1)

Condition 2:

(x-4) = 3(y-4)

=> x -4 = 3y-12

=> x - 3y = -9  -----(2)

Putting eq (1) in (2)

2y - 3y = -9

=> -y = -9

=> y = 9

Now,

x = 2y

=> x = 2(9)

=>  x= 18

Answer:

[tex]8\\4[/tex]

Step-by-step explanation:

Obi's age is [tex]x[/tex].

Oba's age is [tex]2x[/tex].

4 years ago, Obi's age was [tex]x-4[/tex].

4 years after, Obi's age is [tex]2x-4[/tex]

3 times more than Oba's, so [tex]3(x-4)[/tex]

[tex]2x - 4 = 3( x - 4)[/tex]

[tex]2x - 4 = 3x-12[/tex]

[tex]2x - 3x = -12+4[/tex]

[tex]-1x=-8[/tex]

[tex]x=8[/tex]

[tex]x-4\\(8)-4=4[/tex]

The amount of mix would be 16 and the amount of milk would be 8 work is in the picture

Answer:

A. 102

B. 78

Step-by-step explanation:

mEG = 360 - 258 = 102°

m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°

Answer:

8

Step-by-step explanation:

Answer: There were 78 red apples at the party.

Step-by-step explanation:

This situation can be represented by the equation  

x + 3x + 2(3x) = 130    where x is the number of green apples, 3x is the number of  yellow apples and 2(3x) is the number  of red apples.

Now solve for x

x +3x +2(3x) =130

4x + 6x = 130

10x  = 130

x =  13  

Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.

2 * (3*13)  = ?

2 * 39 = 78  

A) mean = average. Find the total of the ages and dive by number of people:

19x 2 = 38

20x3= 60

21x1= 21

22x4 = 88

23x1=23

38 +60 +21+88+23= 230

230/ 11= 20.9

Mean = 20.9

B ) 1 more person makes the total 12 people. The mean becomes 22, so total of the ages would be 12x22= 264

Subtract the two totals 264 - 230 = 34

The person would be 34

Answer:

Cornor should divide the total length of the road on which there is traffic by the length of each of the cars

Step-by-step explanation:

The best calculation he can use is to divide the total length of the road on which we have the traffic by the length of each of the cars

Mathematically, the best way to go about this is to convert the miles to feet then divide by the length of each of the cars

Mathematically 1 mile = 5280 feet

so 5.5 miles will be = 5280 * 5.5 = 29,040 feet

It is this length we shall now divide by 12.5 ft

And that is 29,040/12.5 = 2,323.2

Which is approximately 2,323 cars

Answer:

AC = 90, AB = 90, CAB = 180