A recipe calls for ½ cup of
flour. Kenneth has 3 and 1/4
cups of flour. How many
batches of the recipe can
he make?

The threes solutions to the given equation sec²x - secx = 2 are:

To solve: sec²x - secx = 2 on interval [0,2[tex]\pi[/tex])

When we set t = sec x, we get the quadratic equation:

As a result, we must seek solutions to the equations:

[tex][1] \sec x=2: \quad \cos x=\frac{1}{2} \rightarrow x_1=\frac{\pi}{3} ; \quad x_2=\frac{5 \pi}{3} ;$\\\text { [2] } \sec x=-1: \quad \cos x=-1 \rightarrow x_3=\pi ;[/tex]

Therefore, the three solutions are:

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The correct question is given below:
solve the equation sec²x - secx = 2 on interval [0,2[tex]\pi[/tex])

The sum to infinity of the sequence is 96/13

Given the nth term of a geometric sequence expressed as:

Tn = Σ12(-5/8)^n

The sum to infinity of the sequence is expressed as;

S∞ = a/1-r

where

a is the first term = 12

r is the common ratio = -5/8

Substitute

S∞ =  12/1-(-5/8)

S∞ = 12/1+5/8

S∞ = 12/(13/8)

S∞ =12 *8/13

S∞ = 96/13

Hence the sum to infinity of the sequence is 96/13

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Answer:

the answer is B

Step-by-step explanation:

x = y - 9

y - 4 = 10

x = ?

y = 10 + 4

° y = 14

x = y - 9

= 14 - 9

✔️ x = +5

ANSWERS

y-4=10

y=10+4

y=14

sub y equ 1

x=14-9

x=+5

The population variance ad standard deviation are 64 and 8 respectively.

The variance for a population is calculated by the below steps :

1) First find the mean (the average).

2) Subtracting the mean from each number in the data set and then    squaring the result. The results are squared to make the negatives value positive

3) Averaging the squared differences.

Here, the data set of population is given as :

population difference difference²

6                  -12                   144

12                 -6                     36

20                 2                       4

24                 6                     36

28                 10                  100

₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋

∑ 90                                  ∑ 320

Now, the average population will be :

∑ 90/5 = 18

Now finding the variance σ² using the formula :

σ² = ∑(x- x')²/N

σ² = 320/5

σ² = 64

Now, the standard deviation σ will be :

standard deviation = √σ²

standard deviation = √64

standard deviation = 8

Therefore, the population variance ad standard deviation are 64 and 8 respectively.

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The selling price if cost is $18.00 and the mark up is 70% is $30.60

What is mark  up?

The mark up means profit earned as percentage of the cost price, whereas margin means the profit is a  percentage of the selling price, in other words, the profit element to add to the cost price to derive the selling price in this case is 70% of the cost price of $18.00

profit(mark up)=70%*$18.00

profit(mark up)=$12.60

selling price=cost price+ profit(mark up)

selling price=$18.00+$12.60

selling price=$30.60

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Step-by-step explanation:

|2|=2

Hope this helps !!!!

Answer:

The absolute value is 2

Step-by-step explanation:

The absolute value is defined by how far a value is from zero and it is represented by a / /

/2/ = 2

Answer:

As the input gets smaller, the output gets smaller.

Step-by-step explanation:

The correct option is M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39 . Option C

A function can be defined as an expression that shows the relationship between an independent variable and a dependent variable.

Given the function;

M(t) = 7t + 25

Where;

For M(2), we substitute the value of t as 2 in the function

M(2) = 7(2) + 25

M(2) = 14 + 25

M(2) = $39

This explains that the she mows the yard for t = 2 hours, she would earn $39

Thus, the correct option is M(2) = 39; If Hazel mows a yard for 2 hours, she will earn $39. Option C

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Answer:

Step-by-step explanation:

annie runs in park = every 3 days

ron runs in park = every 5 days

lets find LCM of 3 and 5 = 3*5 = 15

if they ran on 1st of January then they will meet again on on 15th January , will again meet on 30th of January and will again meet on 14 February . if is was a leap year they would again meet at 29th February .

The result of the expression, 18 x 4² + (9 – 3)² after simplification is 324.

What is an expression?

An expression can be defined as the combination of variables and constants with two or more operations applied to it. The operation can be addition, subtraction, multiplication and division.

Simplifying the expression

The given expression is 18 x 4² + (9 – 3)²

Using the BODMAS rule, we get,

= 18 x 4² + (6)²

= 18 × 16 + 36

= 288 + 36

= 324

Lila estimated it right.

The mistake that Rob might have made would be that he must have not solved (9 – 3)² the right way and gained the wrong answer.

Hence, the result of the expression, 18 x 4² + (9 – 3)² after simplification is 324.

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Answer:

D. ∠1 and ∠3

Hope this helps!

Answer:

1 and 3 or also known as D

Step-by-step explanation:

i took the test and got it right

Using the it's formula, the total opportunity cost of three unit(s) of tanks is of 350 autos.

The opportunity cost formula is given by:

C = F - A.

In which:

For this problem, we have that:

Thus:

F = 1000 - 650 = 350.

The total opportunity cost of three unit(s) of tanks is of 350 autos.

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A point that is part of the intersection of planes ACD and MHG is: Point B.

A plane has at least three points that lie on it. When two planes intersect, they do so at some certain points. This means that two intersecting planes share some points in common alone the line of their intersection.

In the diagram given, plane ACD and plane MHG intersect along line BA. This means that both planes share points A and B in common.

Therefore, we can state that a point that is part of the intersection of planes ACD and MHG is: Point B.

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Answer:

E

Step-by-step explanation:

2018 :   75 000 pines

2019 :     2000 pines / km^2  *  30 km^2 = 60 000 pines

(75 000 - 60 000) / 75 000 = .2        or 20 %  

The equation as r + 2 r = 30 miles / 2 hours and the speed of faster cyclist as 10 miles per hour.

We are given that:

The distance between the two cyclist = 30 miles.

Now let the speed of one cyclist be x miles / hour.

Speed of other cyclist = 2 x miles / hour.

Now, 2 hours later they meet.

Distance covered by 1st cyclist in 2 hours = 2 x

Distance covered by 2st cyclist in 2 hours = 4 x

Equation will be:

2 x + 4 x = 30 miles

6 x = 30 miles

x = 5 miles.

Equation for the cyclist in terms of r will be :

r + 2 r = 30 miles / 2 hours

Speed of faster cyclist = 10 miles per hour.

Therefore, we get the equation as r + 2 r = 30 miles / 2 hours and the speed of faster cyclist as 10 miles per hour.

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Answer:

Choice a) 3700 €

Step-by-step explanation:

Total salary among 12 workers = Avg Salary x 12 = 3500 x 12 = 42,000 €

Total salary of 2 part-timers = part-time avg x 2 = 2500 x 2 = 5000

Total salary without part-timers salary= 42,000 - 5000 = 37,000 €

If we exclude the 2 part-timers, there are 10 full-timers who earn 37,000 €

So new Average Salary = 37000/10 = 3,700 €

answer: Choice a) 3700 €

Answer: Slope = 7/6

Step-by-step explanation:

p = (n - 30)/ 6 as a function of n.

Here we need to find the value of p in terms of n.

From the question, we have two equation

The first equation is:

   m = 1/6n .......(1)

The second equation is:

    p = m - 5.......(2)

From equations 1 and 2 we have to find the value of p in term of n.

So by putting the value of m in the second equation we have:

p = 1/6n - 5

  = (n - 30)/6

Therefore we get the value of p as (n -30)/6 in terms of n.

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Answer:

653209

Step-by-step explanation:

Because i did this already

Answer:  [tex](5.6)^3[/tex]

This is the same as saying (5.6)^3

===============================================

Explanation:

The base is 5.6 and it is multiplied a total of 3 times. We use an exponent of 3 to condense things down. So [tex]5.6 * 5.6 * 5.6 = (5.6)^3[/tex]

Another example: [tex]2^4 = 2*2*2*2 = \text{four copies of '2' multiplied}[/tex]

Answer:

Step-by-step explanation:

Compute the midpoint of the line segment with endpoints:

p_1 = (-4, 4) and p_2 = (5, -1)

The midpoint between (x_1, y_1) and (x_2, y_2) is their componentwise average:

((x_1 + x_2)/2, (y_1 + y_2)/2)

Substitute (x_1, y_1) = (-4, 4) and (x_2, y_2) = (5, -1):

= ((-4 + 5)/2, (4 - 1)/2)

-4 + 5 = 1:

= (1/2, (4 - 1)/2)

4 - 1 = 3:

Answer:  = (1/2, 3/2)

Answer:

Re arrange equation to make x the subject

X-3=4y

-3 will be moved to the other side of equal sign

in doing so, its sign will be be switched

so

x=4y+3

adding a negative is the same as subtracting a positive

the expression -6+ (-2) is the same as -6-2 which is -8

Answer:

8 gallons left.......

Step-by-step explanation:

10 - 2 = 8

Answer:

x=142°

Step-by-step explanation:

hope it helps ⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

Value of g (x) is -2, when :

[tex]\qquad \sf  \dashrightarrow \: - 2.5 < x \leqslant - 1.5[/tex]

And since -2 lies in this range of x,

[tex]\qquad \sf  \dashrightarrow \:g( - 2) = - 2[/tex]

Value of x is -1, when :

[tex]\qquad \sf  \dashrightarrow \: - 1.5 < x \leqslant - 0.5[/tex]

And -0.5 falls in this range, hence

[tex]\qquad \sf  \dashrightarrow \:g( - 0.5 ) = - 1[/tex]

Next, The value of x is 0 when :

[tex]\qquad \sf  \dashrightarrow \: - 0.5 < x < 0.5 [/tex]

But, it isnt equal to 0.5, since there is open interval at both extremes.

Next, Value of x is 1, when :

[tex]\qquad \sf  \dashrightarrow \:0.5 \leqslant x < 1.5[/tex]

And since it also has the value 0.5 included in it,

[tex]\qquad \sf  \dashrightarrow \:g(0.5) = 1[/tex]