Clark has a budget of \$12$12dollar sign, 12 to spend to buy nuts for a party. The three lines represent the cost of buying bags of three kinds of nuts (walnuts, pecans, or peanuts) of varying weights.

Answer:

2 hours

Step-by-step explanation:

[tex]\dfrac{\frac{3}{4}}{\frac{3}{2}}=\dfrac{1}{x} \\\\\\\dfrac{1}{2}=\dfrac{1}{x} \\\\\\x=2[/tex]

Hope this helps!

Answer:

D. y = 2x2 + 16x+11

Step-by-step explanation:

this is the correct answer, the person above me is incorrect!!

ap ex :)

The standard form of the equation y = 2x² + 16x 11. Then the correct option is D.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The vertex form of the equation of a parabola is y = 2(x + 4)² – 21.

Expand the equation, we have

y = 2(x + 4)² – 21

y = 2(x² + 16 + 8x) – 21

y = 2x² + 32 + 16x – 21

y = 2x² + 16x 11

Then the correct option is D.

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Use the rule that x^(-k) = 1/(x^k) to get

(-3)^(-5) = 1/(  (-3)^5 ) = 1/( -243 )

Comparing 1/( -243 ) with the form 1/x, we see that x = -243

Your answer is -1/243

Hope this helps

Answer: x and x+5

Step-by-step explanation:

[tex]x^{2} +5x[/tex]

common factor of that expression is x, so you can factor it out into

x(x+5)

Answer:

121428571429/100000000000

Step-by-step explanation:

To write 1.21428571429 as a fraction you have to write 1.21428571429 as the numerator and put 1 as the denominator.

Now you multiply the numerator and denominator by a number that makes the numerator the whole number.

Answer:

[tex]\frac{121428571429}{100000000000}[/tex]

Step-by-step explanation:

=> 1.21428571429

As a Fraction:

=> [tex]\frac{121428571429}{100000000000}[/tex]

Since triangles RST and XYZ are congruent, the statement that must be true is:

B. ∠R ≅ ∠X

When two triangles are congruent, then every corresponding sides and corresponding angles of both triangles would also be congruent.

Since ΔRST and ΔXYZ are said to be congruent, then all its corresponding parts would also be congruent to each other. Angles R and X are corresponding angles. Therefore, the statement that must be true is:

B. ∠R ≅ ∠X

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Answer:

yes!

Step-by-step explanation:

a rational number is a number that you can get by a fraction, like in this case 31/2

Answer:

Yes.

Step-by-step explanation:

15.5 is a rational number, because it can be expressed as a fraction.

15 1/2

= 31/2

Answer:

Step-by-step explanation:

First of all, I have a strong feeling that that is supposed to be

[tex]log_2(32)=y[/tex] so I'm going to go with that. We can solve for y by rewriting that in exponential form. Exponential form and log form are inverses of each other. If the log form of an equation is

[tex]log_b(x)=y[/tex], the exponential form of it is

[tex]b^y=x[/tex]. We will apply that here to solve for y:

[tex]2^y=32[/tex]

which is asking us, "2 to the power of what equals 32?". We can use our calculator to raise 2 to consecutive powers til we reach the one that gives us a 32, or we could solve it by writing the 32 in terms of a 2:

[tex]2^y=2^5[/tex]

Since both bases are the same, 2, then the exponents are equal to one another. y = 5. This is an important rule to remember while solving either log or exponential equations.

Answer:

p = 3.141593

Step-by-step explanation:

Answer:

(2p-1)(p-1)

Step-by-step explanation:

=> 2p(p-1)-p+1

Opening brackets

=> 2p²-2p-p+1

=> 2p²-3p+1

Using mid-term break formula

=> 2p²-2p-p+1

=> 2p(p-1)-1(p-1)

=> (2p-1)(p-1)

Answer:

2.38

Step-by-step explanation:

1.40 / 2.5 = 0.56

0.56*4.25 = 2.38

Answer:

Step-by-step explanation:

Answer:

the rotational symmetry is

I just think so

Answer:

see explanation

Step-by-step explanation:

For a given scale factor k

If k > 1 then expansion

If k < - 1 then expansion in the opposite direction

If 0 < k < 1 or - 1 < k < 0 then contraction

k = - 2 ← expansion in opposite direction

k = 1.5 ← expansion

k = [tex]\frac{1}{4}[/tex] ← contraction

k = - [tex]\frac{6}{7}[/tex] ← contraction

Answer: -7, -1, 5, -5

Step-by-step explanation:

In order to find the inverse, swap the x's and y's and solve for y.

[tex]y=\dfrac{5x+1}{-x+7}\\\\\\\underline{Swap\ the\ x's\ and\ y's}:\\x=\dfrac{5y+1}{-y+7}\\\\\\\underline{\text{Multiply both sides by -y+1 to clear the denominator}}:\\x(-y+7)=5y+1\\-xy+7x=5y+1\\\\\\\underline{\text{Add xy and subtract 1 from both sides}}:\\7x-1=xy+5y\\\\\\\underline{\text{Factor out the y from the right side}}:\\7x-1=y(x+5)\\\\\\\underline{\text{Divide x+5 from both sides}}:\\\dfrac{7x-1}{x+5}=y[/tex]

Since the boxes you need to fill in show -x in the denominator, multiply the equation by -1/-1:

[tex]y=\dfrac{-1}{-1}\bigg(\dfrac{7x+1}{x+5}\bigg)\\\\\\\large\boxed{f^{-1}(x)=\dfrac{-7x-1}{-x-5}\qquad for\ x \neq -5}[/tex]

Answer:

[tex]\displaystyle 1 = \frac{cos∠A}{cos∠B}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ[/tex]

Since this is a 45°-45°-90° triangle, you will have two IDENTICAL legs and the hypotenuse is the value of the leg multiplied by the square root of 2:

[tex]\displaystyle x\sqrt{2} = HYPOTENUSE \\ x = LEGS \\ \\ 4,242640687 ≈ 3\sqrt{2} \\ \\ \frac{3}{4,242640687} ≈ cos∠B \\ \frac{3}{4,242640687} ≈ cos∠A \\ \\ \frac{\frac{3}{4,242640687}}{\frac{3}{4,242640687}} = 1[/tex]

I am joyous to assist you anytime.

The value of expression cos A / cos B is,

⇒ cos A / cos B = 1

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle ABC is shown in figure.

Now., We know that;

cos A = Base / Hypotenuse

cos A = 3 / 4.24

And, cos B = 3 / 4.24

Thus, The value of expression cos A / cos B is,

⇒ cos A / cos B = (3/4.24) / (3/4.24)

⇒ cos A / cos B = 1

So, The value of expression cos A / cos B is,

⇒ cos A / cos B = 1

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Answer:

245 pounds in 7 days

Step-by-step explanation:

35 pounds= 1 day for one person

35*7=245

Answer:

245

Step-by-step explanation:

1 day = 35 pounds

7 days = ?

35 • 7 = 245

Hope this Helps!

Answer:

402.123859659 cm

or

402.1 cm

Step-by-step explanation:

4 pi times 8 squared (64) is around 804. (for the whole sphere.) we only want half, so divide that answer by two.

hope this helps :))

Answer:

l=-15d+65

Step-by-step explanation:

The graph of the equation is discrete because he always eats exactly 15 cm, not more or less.

Answer:

(d) = 65 - 15 where {d| 0 ≤ d ≤ 4} and it is discrete.

Step-by-step explanation:

Answer:

Option (A).

Step-by-step explanation:

"Two line segments are called to be perpendicular if the angle between them is 90°."

"A bisector of a line segment divides the segment in two equal parts."

By adding these two statements, "a perpendicular bisector of a segment divides the segment in two equal parts and the angle between them is 90°."

In this question, FG is the perpendicular bisector of HI at point Q.

Therefore, HQ ≅ IQ

Option (A) will be the answer.

Correct Question

In the table shown, the sum of each row is shown to the right of the row and the sum of each column is shown below the column. What is the value of L?

[tex]\left|\begin{array}{c|c|c|c}-&-&-&-\\J&K&J&5\\K&K&L&13\\L&J&L&15\\-&-&-&-\\11&7&15\end{array}\right[/tex]

Answer:

L=7

Step-by-step explanation:

From the first row: 2J+K=5

Therefore: K=5-2J

From the second column, 2K+J=7

Substitute K derived above into 2K+J=7

2K+J=7

2(5-2J)+J=7

10-4J+J=7

-3J=7-10

-3J=-3

J=1

Recall: K=5-2J

K=5-2(1)=3

K=3

From the third column, J+2L=15

1+2L=15

2L=15-1=14

L=7

Therefore, the value of L=7

CHECK:

[tex]\left|\begin{array}{c|c|c|c}-&-&-&-\\1&3&1&5\\3&3&7&13\\7&1&7&15\\-&-&-&-\\11&7&15\end{array}\right[/tex]

Answer:

2/7

Step-by-step explanation:

4 red marbles and 3 blue marbles in a bag = 7 marbles

P(red) = red/total = 4/7

No replacement

3 red marbles and 3 blue marbles in a bag = 6 marbles

P(red) = red/total = 3/6 = 1/2

P(red, no replacement, red) = 4/7 * 1/2 = 2/7

secx=1/cosx

1. To solve this problem you must apply the following proccedure:

2. You have to verify if secx sinx=tanx, so, you have:

3. You know that secx=1/cosx, and tanx=sinx/cosx, therefore:

(secx)(sinx)

(1/cosx)(sinx)

sinx/cosx

tanx

Answer:

The answer is B. on edge

Step-by-step explanation:

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

Explanation:

Here are all of the justifications for each step

Answer:

Slope is 0.95 and its unit is dollar per mile

Step-by-step explanation:

To write the slope and its units, what we first need to do is to write the given words in form of an equation.

Given that the cost is the dependent variable and the cost per mile the independent variable, we have;

C(x) = $0.95(x) + 37

Comparing to the general equation of a straight line;

y = mx + c

we can see that the slope is 0.95 and its unit is $/mile (dollars per mile)

Answer:

t<45 mins

Step-by-step explanation:

If to qualify you must finish in less than 45 minutes, this simply means your time has to be less than 45 so it would be t<45 mins. If it had said in 45 mins or less, it would say t is less than or equal to 45 but that's not what we have here.

Answer:

32500

Step-by-step explanation:

3.25 x 10^4

3.25 x 10000

Move the decimal point 4 places to the right.

32500

Answer:

Step-by-step explanation:

To convert scientific notation into standard form:

3.25*10^4

move the decimal 4 spaces to the right:

3.25*10000

32500

So, 32500 is the answer

Answer:

7

Step-by-step explanation:

Answer:

answer B

Step-by-step explanation:

Hello,

(f+g)(-1) = f(-1) + g(-1) = (-1+3) + (-1+6) = 2 + 5 = 7

so the correct answer is B

hope this helps

Step-by-step explanation:

Let the numbers be x and y

2 consecutive even nos.

therefore y = x+2

twice of the first (2x) is 46 more than y

2x = y+46

Solving both the equations

x - y + 2 = 0

(-)2x - y - 46 = 0

____________

-x + 0 + 48 = 0

____________

x = 48

y = x+2

= 48 +2

= 50

Therefore the 2 nos. are 48 and 50

Hope this answers helps you