What conclusion can you make from the information below?
Three cousins (Donna, Marilyn, and Valr) have three different favorite types
of music (classical, pop, and hip-hop).
• Donna does not like classical.
• Valr does not like classical.

Answer:

Step-by-step explanation:

Given the expression[tex]2(3j + 6 + 5j)[/tex] let us begin by simplifying the expression first by performing operation with the terms inside the brackets

[tex]2(3j + 6 + 5j) = 2(8j + 6 )[/tex]

We can continue by opening the bracket to further simplify the expression

[tex]2(8j + 6 ) = 16j+2[/tex]

[tex]16j + 12[/tex] is our final answer, now to express this verbal, this is a complex number/expression, expressed as "sixteen j plus twelve"

Answer:

(a)

Step-by-step explanation:

The tangent and the normal at point P are perpendicular.

Given

[tex]m_{tangent}[/tex] = 3, then

Given the gradient m of the tangent then the gradient of a line perpendicular to it is

[tex]m_{normal}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] → (a)

Answer:

A stem and leaf plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit). The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.

Step-by-step explanation:

Example: Long Jump

Sam got his friends to do a long jump and got these results:

long jump

2.3, 2.5, 2.5, 2.7, 2.8 3.2, 3.6, 3.6, 4.5, 5.0

And here is the stem-and-leaf plot:

Stem Leaf

2 3 5 5 7 8

3 2 6 6

4 5

5 0

Stem "2" Leaf "3" means 2.3

Note:

Say what the stem and leaf mean (Stem "2" Leaf "3" means 2.3)

In this case each leaf is a decimal

It is OK to repeat a leaf value

5.0 has a leaf of "0"

1 blue paper chain and 2 red paper chains

Answer:

1 blue paper chains and 2 red

Step-by-step explanation:

becuase 4 plus 3 plus 3 is 10

23

el número es 32 y si sumamos los dos dígitos suman 5

y si restamos 9 a 32 nos queda 23.

Answer:

q=9

Step-by-step explanation:

9q=81

Divide each side by 9

9q/9=81/9

q = 9

Answer:

Q=9

Step-by-step explanation:

SO BASICALLY TO REMOVE THE 9 FROM ONE SIDE WE DIVIDE BOTH SIDES OF THE EQAUTION BY 9

9Q/9=81/9

WHICH SIMPLIFIES TO

Q=9

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

              ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                             PEACE!

Answer:

Below

Step-by-step explanation:

51)

Let n be the first even number.

So the four consecutive even numbers are:

● n

● n+2

● n+4

●n+6

The smallest minus twice the larger is 4

● n-2(n+6)= 4

●n-2n-12 =4

● -n -12 =4

● -12 = 4+n

● -12-4 = n

● -16 = n

so the first even number is -16 and the largest one is -10

● -16+6= -10

■■■■■■■■■■■■■■■■■■■■■■■■■

Let m be the first integer

So the five consecutive integers are:

● m

● m+1

● m+2

● m+3

● m+4

The sum of this terms is 5.5 times the middle(m+2)

● m+m+1+m+2+m+3+m+4 = 5.5(m+2)

● 5m + 10 = 5.5 m +11

● -0.5 m = 1

●-m = 2

● m= -2

So the integers are;

● -2

● -1 (-2+1)

● 0

● 1

● 2

Answer:

3/32

Step-by-step explanation:

One approach to doing this probelm is to evaluate all three functions F, G and H at x = 2:

F(2) = 2(2) - 1 = 3

G(2) = 3(2) + 2 = 8

H(2) = (2)^2 = 4

                                                           3/8

Then (F/G)(2) = (3/8), and (F/G/H) = -------- = 3/32

                                                              4

Answer:

88

Step-by-step explanation:

89+85+95+83= 352,

352/4 = 88

Answer:

The correct answer is A. R(d) = -54d2 + 1,269d + 10,530

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Price per seat when the average attendance is 810 fans = $ 13

For every $2.00 increase in average ticket price, the attendance decreased by an average of 27 fans per game.

2.  Which equation shows the revenue, R, as a function of d, the number of $2.00 increases over $13.00?

R(d) = (13 + 2d) (810 - 27d)

R(d) = 10,530 + 1,620d - 54d² - 351d

R(d) = -54d² + 1,269d + 10,530

The correct answer is A. R(d) = -54d2 + 1,269d + 10,530

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

[tex]\frac{6x+1}{3}+1=\frac{x-3}{6}[/tex]

To make things simple, multiply everything by the LCM of the denominator. In this case, the LCM of 3 and 6 is 6.

[tex]6(\frac{6x+1}{3}+1) =6(\frac{x-3}{6}) \\6(\frac{6x+1}{3})+6(1)=(x-3) \\ 2(6x+1)+6=x-3[/tex]

Now, simplify and solve for x:

[tex]12x+2+6=x-3\\12x+8=x-3\\11x+8=-3\\11x=-11\\x=-1[/tex]

Answer:

A function is a relation in which each input has only one output.

Step-by-step explanation: In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.

A function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin which is the correct answer would be an option (A).

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

A function is a coordinate grid with a U-shaped pattern, arrows on both ends that open to the right, and the origin at the bottom of the U.

Because there is only one output of the relation, y, for any input x (1, 2, 3, or 0), is a function of x. Because the input y = 3 contains multiple outputs, including x = 1 and x = 2, x is not a function of y.

Therefore, the function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin.

Hence, the correct answer would be option (A).

Learn more about the functions here:

brainly.com/question/12431044

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Answer:

[tex]Profit = \$250[/tex]

Step-by-step explanation:

Given

Number of Toys = 50

Unit Cost Price = $5.5

Unit Selling price = $15

Required

Determine the profit after sales

First, we need to determine the total cost price;

[tex]Cost\ Price = Number\ of\ toy *\ Unit\ cost\ price[/tex]

[tex]Cost\ Price = 50 * \$5.5[/tex]

[tex]Cost\ Price = \$275[/tex]

First, we need to determine the total sales;

____________________________________________________

Half of the toy was sold at $15;

[tex]Half\ of\ the\ toy = \frac{1}{2} * 50[/tex]

[tex]Half\ of\ the\ toy = 25[/tex]

[tex]Sales = \$15 * 25[/tex]

[tex]Sales = \$375[/tex]

____________________________________________________

Two-fifth of the remaining was sold at half of the sales price

From the above calculation;

[tex]Remaining\ Toy = 50 - 25[/tex]

[tex]Remaining\ Toy = 25[/tex]

Calculating Two-fifth of the remaining:

[tex]\frac{2}{5} * 25[/tex]

[tex]= \frac{50}{5}[/tex]

[tex]= 10[/tex]

Calculating half of the sales price:

[tex]\frac{1}{2} * \$15[/tex]

[tex]\$7.5[/tex]

This means that 10 toys were sold for $7.5

[tex]Sales = 10 * \$7.5[/tex]

[tex]Sales = \$75[/tex]

____________________________________________________

The remaining was sold at one-third of the sales price

From the above calculations (1 & 2);

[tex]Remaining\ Toy = 50 - 25 - 10[/tex]

[tex]Remaining\ Toy = 15[/tex]

Calculating one-third of the sales price:

[tex]\frac{1}{3} * \$15[/tex]

[tex]\$5[/tex]

This means that 15 toys were sold for $5

[tex]Sales = 15 * \$5[/tex]

[tex]Sales = \$75[/tex]

____________________________________________________

Now the total sales can be calculated;

[tex]Total\ Sales = \$375 + \$75 + \$75[/tex]

[tex]Total\ Sales = \$525[/tex]

[tex]Profit = Total\ Sales -\ Cost\ Price[/tex]

[tex]Profit = \$525 -\$275[/tex]

[tex]Profit = \$250[/tex]

Answer:

28% decrease

Step-by-step explanation:

If we decrease by 60%, we are keeping 100-60 = 40%

Let x be the original amount

decrease by 60% = keep 40%

.40 x

If we increase by 80%, we are keeping 100+80 = 180%

(.40x) * 180%

.40x * 1.80

.72x

Take .72 times the original amount

100 - .72 = 28

It decreased 28 %

Answer:

28% decrease

Step-by-step explanation:

Answer:

Total mass of materials = 4.8kg

For gravel

55% of the materials are gravel

So we have

55/100 × 4.8 kg

= 2.64kg

For sand

30% of the materials are sand

We have

30/100 × 4.8

= 1.44kg

For cement

The remaining materials were cement so we add the masses of both the sand and gravel and subtract it from the total mass

That's

4.8 - (2.64 + 1.44)

4.8 - 4.08

= 0.72 kg

She earns £ 800 per week

She receives a raise of 7.5% which is

100 + 7.5 = 107.5%

So we have

107.5 / 100 × £ 800

= £ 860

She now earns £ 860 per week

Hope this helps you

Step-by-step explanation:

1)of 4.8kg concrete 55% is gravel,30% is sand and 15% is cement.

percent=Rate*Base

Pgravel=55%*4.8kg

Pgravel=2.64kg

Psand=30%*4.8kg

Psand=1.44kg

Pcement=15%*4.8kg

Pcement=0.72kg

2)percent=Rate*Base

percent=7.5%*£800

percent=60£

total earn=60£ + £800

total earn=£860

Answer:

78.5

Step-by-step explanation:

It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5

The area of 1/4 of a circle with a radius of 10 is 78.5 units²

Given,

1/4 of a circle.

Radius = 10

π = 3.14

We need to find the area of 1/4 of a circle.

It is given as:

Area = πr²

Find the area of 1/4 of a circle.

We have,

Area of a circle = πr²

Radius = 10

1/4 area of a circle:

= 1/4 x πr²

= 1/4 x 3.14 x 10²

= 1/4 x 3.14 x 100

= 78.5 units²

Thus the area of 1/4 of a circle is 78.5 units²

Learn more about finding the circumference and area of a circle here:

https://brainly.com/question/14966973

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Answer:

A will be switched off and B will be switched on.

Step-by-step explanation:

Because there are four different positions this can be in and there are 107 steps, we can divide 107 by four.

107 divided by four is 26 and the remainder is 3. That means the steps have gone around 26 times, and we are now on the third step before we complete the 27th cycle. The third step is C, where A is switched off and B is on.

Answer:

B

Step-by-step explanation:

Trust me :)

Answer:

[tex]|7\cdot m -56| = -7\cdot m + 56[/tex] if [tex]m< 8[/tex]

Step-by-step explanation:

According to the definition of absolute value:

[tex]f(x)[/tex] if [tex]f(x) \geq 0[/tex]

[tex]-f(x)[/tex] if [tex]f(x) <0[/tex]

If [tex]m < 8[/tex], then:

[tex]y_{max} = 7\cdot (8) - 56[/tex]

[tex]y_{max} = 0[/tex]

[tex]y[/tex] becomes negative as [tex]m[/tex] diverges to [tex]-\infty[/tex].

Then, the absolute value can be rewritten as follows:

[tex]|7\cdot m - 56| = -(7\cdot m -56)[/tex] if [tex]m <8[/tex]

[tex]|7\cdot m -56| = -7\cdot m + 56[/tex] if [tex]m< 8[/tex]

Answer:

Step-by-step explanation:

1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min

By comparing P(0 ≤ Z ≤ 30)

P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)

Using Table

P(0 ≤ Z ≤ 1) = 0.3413

P(Z > 1) = (0.5 - 0.3413) = 0.1537

∴ P(Z > 45) = 0.1537

2)  By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)

P(Z ≤ 15 - 30/15) = P(Z ≤ -1)

Using Table

P(-1 ≤ Z ≤ 0) = 0.3413

P(Z < 1) = (0.5 - 0.3413) = 0.1587

∴ P(Z < 15) = 0.1587

3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)

P(Z ≤ 60 - 30/15) = P(Z ≤ 2)

Using Table

P(0 ≤ Z ≤ 1) = 0.4772

P(Z > 1) = (0.5 - 0.4772) = 0.0228

∴ P(Z > 60) = 0.0228

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when rolling 1 die

1,2,3,4,5,6

There are 2 outcomes that fit the category of 2 or a 5

P ( rolling 2 or a 5) = number of 2's or 5's / total number of outcomes

                               = 2/6

                               =1/3

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

A fair dice has 6 outcomes, 1, 2, 3, 4, 5, 6.

The outcomes 2 and 5 are 2 outcomes out of total 6 outcomes.

[tex]\frac{2}{6}=\frac{1}{3}[/tex]

Answer:

x=26

Step-by-step explanation:

m<MNQ=m<P + m<Q by the EXTERIOR ANGLE THEOREM

132=3x+54 SUBSTITUTION

132-54=3x

78=3x

x=26 ALGEBRA

Answer:

7/40 or 0.175

Step-by-step explanation:

simplify to get 2x+1/4=3/5

subtract 1/4 from both sides to get 2x=7/20

divide by 2 to get 7/40

this answer i decimal form is 0.175

Answer:

x = 7/40

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2x +  1 /4  =  3 /5

Step 2: Subtract 1/4 from both sides.

2x +  1 /4  −  1 /4  =  3 /5  −  1 /4

2x =  7 /20

Step 3: Divide both sides by 2.

2x /2  =  7 /20  /2

x =  7 /40

Answer:

x =  7 /40

Hope this helps!!

Answer: The fan catch the ball after 3 seconds.

Step-by-step explanation:

Given,  A baseball 4 feet off the ground is hit with an upward velocity of 52 feet per second.

The height of the baseball in feet after t seconds is given by the equation

[tex]h = - 16t2 + 52t + 4[/tex]

If a fan catches the ball 16 feet off the ground when it is coming  down.

then, at that time h= 16  feet

At h= 16

[tex]16=-16t^2+52t+4\\\\\Rightarrow\ 16t^2-52t+12=0\\\\\Rightarrow\ 4t^2-13t+3=0[/tex]

[tex]\Rightarrow\ 4t^2-t-12t+3=0\Rightarrow\ t(4t-1)-3(4t-1)=0\\\\\Rightarrow\ (4t-1)(t-3)=0\\\\\Rightarrow\ t=\dfrac{1}{4},\ t=3[/tex]

From the graph , it can be observe that when ball comes back , for height 16 feet the corresponding time t= 3 sec

So, the fan catch the ball after 3 seconds.

Answer:

X<=5 and you would graph it with a closed dot on five and an arrow going left of it.

Step-by-step explanation:

Answer:

[tex]a<5\\\\a\in R[/tex]

Step-by-step explanation:

In several ways, for example, let:

[tex]a[/tex], an arbitrary constant, where:

[tex]a\in R[/tex]

Besides:

[tex]a< 5[/tex]

Because the number can be greater than five.

Therefore, the graph, would be all number over the interval:

[tex](-\infty, 5)[/tex]

As you can see, all numbers bellow the line [tex]y=5[/tex].

Answer:

Step-by-step explanation:

The conversion factor for food energy or thermochemical calorimetry* is ...

  1 calorie = 4.184 J

  1000 calorie = 4.184 kJ

__

a. 7845 cal = 7845·4.184 J = 32,823 J = 32.823 kJ

b. 4.55·10^4 cal = 4.55·10^4·4.184 J = 1.904·10^5 J = 190.4 kJ

c. 62.142 kcal = 62.142·4.184 kJ = 260.00 kJ

d. 43,024 cal = 43,024·4.184 J = 180,012 J = 180.012 kJ

_____

* The thermochemical calorie is defined in terms of the heat capacity of water. An international calorie of 4.1868 J is defined in terms of energy, without respect to the heat capacity of water.

Answer:

PLATO sample answer

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

[tex]\huge\boxed{b.\ x=6;\ y=3}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x=2y&(1)\\2x+3y=21&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\2(2y)+3y=21\\4y+3y=21\qquad\text{combine like terms}\\7y=21\qquad\text{divide both sides by 7}\\\dfrac{7y}{7}=\dfrac{21}{7}\\\boxed{y=3}\\\\\text{Substitute it to (1):}\\x=2(3)\\\boxed{x=6}[/tex]

Answer: (6, 3)

Explanation: Our first equation tells us that x means the same thing as 2y so we can replace the x in the second equation with a 2y.

Our second equation then becomes 2(2y) + 3y = 21.

If we simplify on the left side we get

4y + 3y = 21 which simplifies to 7y = 21.

Solving from here, we find that y = 3.

To find x, plug 3 back in for y in the first equation

to get x = 2(3) which simplifies to x = 6.

So our answer is (6, 3).

Answer:

3

Step-by-step explanation:

because its equal to the other side that says 6

x + 3 = 6

x = 6 - 3

x = 3

hope this is correct