5x^2-13+6=0
i need helppp

Answer:

1) acute

2) obtuse

3) straight

4) right

Step-by-step explanation:

acute angle=less than 90

right angle=90 exactly

obtuse=greater than 90

straight=exactly 180

hope this helps

Answer:

1:3

Step-by-step explanation:

What you want to do is solve for how much water will be for one fraction of juice concentrate.

To do that you can divide 750 by 250 to get 3. That means that 3 portions of water to one portion of concentrate would be the ratio.

Hope that helps and have a great day!

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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The total number of pages Leah filled in her journal is 15 pages.

Number of pages filled today = 3

Total pages filled = 5 × as many pages filled today

Total pages filled = 5 × 3

= 15 pages

Therefore, the total number of pages Leah filled in her journal is 15 pages

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The Correct option is -4

because every other terms result in value = 4, where's -4 is the only different one hence doesn't belongs yo other three

Answer:

(-9, -10)

Step-by-step explanation:

-8 - 10 / 2 = -9

-14 - 6/ 2 = -10

Answer:

x = 5

$15.00 is the total amount of money Jamal has right? To find the remaining amount of money Jamal has subtract 15 - 7.5 (price of nachos) = 7.5 (remaining amount of money Jamal has.) Now for part 2, since the sour straws are $1.50 each you just have to multiply X to get close as close to the remaining amount of money as possible.

1.50× 5 (amount of sour straws) is equal to 7.50 (price of 5 sour straws).

To check your answer let's add the price of nachos (7.50) and 5 sour straws (7.50) which is 15.00 the total amount Jamal brought with him.

Let me know if you have any other questions :)

Answer:

I do not know

Step-by-step explanation:

Answer:

m=25/28

Step-by-step explanation:

Fine the area as if it was a full rectangle then subtract the area of the cut out part.

7 x 6 = 42 square yards

5 x 4 = 20 square yards

42 - 20 -= 22 square yards

Answer: 22 square yards

The expressions that are equivalent to 3^8 are:

We have to solve these out

3^8. = 6561

From the options

A. 3^2x3^4

= 9 x 81

= 729

B  3²x3^6

= 9 x 729

= 6561

C.  3^16/3^2

= 43046721/9

= 4782969

d. 3^12/3^4

= 531441 / 81

= 6561

E.  (3^4)²

= 3⁴ x 3⁴

= 3⁴⁺⁴

= 3⁸

= 6561

F. (3¹)^7

= 3⁷

= 2187

The expressions that are equivalent to 3^8 are:

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Answer:

<A= right

<B= acute

<C= obtuse

<D= acute

Step-by-step explanation:

Answer:

Minimum--> 250

Q1--> 255

Q2--> (Median): 307

Q3--> 433

Maximum-->507

Step-by-step explanation:

To find the five-number summary of this data set, we need to determine the minimum value, maximum value, and three quartiles (Q1, Q2, Q3) which divide the data into four equal parts.

First, we need to sort the data set in ascending order:

{ 250, 253, 255, 267, 307, 425, 433, 435, 507 }

Minimum: 250

Maximum: 507

To find the quartiles, we need to find the median of the entire data set (Q2) and then the medians of the two halves of the data set, which will give us Q1 and Q3.

Q2 (Median): The median of the entire data set can be found by averaging the two middle numbers.

Q1: The median of the lower half of the data set is 255, which is the middle value of { 250, 253, 255, 267, 307 }. Therefore, Q1 = 255.

Q3: The median of the upper half of the data set is 433, which is the middle value of { 425, 433, 435, 507 }. Therefore, Q3 = 433.

Answer:

Step-by-step explanation:

Given the sequence 1.4,5.5,9.6,13.7,...

The nth term of am arithmetic sequence is expressed as;

Tn = a+(n-1)d

a is the first term

n is the number of terms

d is the common difference

From the given data;

a = 1.4

d = 5.5-1.4 = 9.6-5.5 = 4.1

n = 72 (since we are looking for the 72nd term)

Substitute;

T₇₂ = 1.4+(72-1)(4.1)

T₇₂ = 1.4+71(4.1)

T₇₂ = 1.4+291.1

T₇₂ = 292.5

Hence the 72nd term of the sequence is 292.5

Answer:

7580

Step-by-step explanation:

The formula for the sum of an arithmatic sequence is

\(\frac{n}{2} (a_{1} + a_{n})\),

where n = total number of terms (in this case 40)

\(a_{1}\)= the first term (in this case 14)

and \(a_{2}\) = the last term (we will need to find this)

to find the last term, we can use this formula:

\(a_{n} = a_{1} + (n-1)d\)

where d is the difference between each term (in this case 9, because 23 - 14 = 9, and 32 - 23 = 9)

thus, \(a_{n}\) = 14 + (40 - 1)9 = 14 + 39*9 = 14 + 351 = 365

plug this back into the first formula to get

Σ = \(\frac{40}{2}\) (14 + 365) = 20(379) = 7580

Answer:

14 veces  Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Use the Pythagorean theorem.

Where the sum of the two legs squared is equal to the hypotenuse squared.

10² + x² = 26²

100 + x² = 676

x² = 576

x = √576

x = 24

The value of x is 24.

Answer: See below

Step-by-step explanation:

a)

\($$The total revenue R(x) is obtained as:\begin{align*} R\left( x \right) &= xp\left( x \right)\\ &= x\left( {100 - x} \right)\\ &= 100x - {x^2} &$$$ R(x) = 100x - {x^2} \end{align*}\)

\($$Thus, {R\left( x \right) = 100x - {x^2}\)

b)  

\($$The total profit is obtained as: \begin{align*} P\left( x \right) &= R\left( x \right) - C\left( x \right)\\ &= 1000x - {x^2} - 3000 - 20x\\ &= - {x^2} + 980x - 3000 \end{align*}\)

\($$Hence, P\left( x \right) = - {x^2} + 980x - 3000\)

c)

\($$For maximum profit dP/dx should be equal to zero: \begin{align*} \dfrac{{dP}}{{dx}} &= 0\\ - 2x + 980 &= 0\\ x &= 490 \end{align*}\)

\($$So, the required units to maximize profit is 490\)

d)

\($$The maximum profit is calculated as: \begin{align*} P\left( x \right) &= - {x^2} + 980x - 3000\\ P\left( {490} \right) &= - {490^2} + 980 \times 490 - 3000\\ &= 237100 \end{align*}\)

\($$Accordingly, the maximum profit is \$237100.\)

e)

\($$Calculating the price at maximum profit as: \begin{align*} p\left( x \right) &= 1000 - x\\ p\left( {490} \right) &= 1000 - 490\\ &= 510 \end{align*}\)

\($$Consequently, the price at the maximum profit is \$510.\)

7) To sketch out this function:

We need to set a t-chart, a table so that we can trace this exponential line:

With these points we can trace a line, considering the negative sign we know how the graph behaves:

7.2)

Hence the correct option is to translate down 2 unit

Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.

Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.

We have the parent function f(X)= x

and transformed function is g(x)= -3f(x+5)-2

the parent function f(x) is translated dawn 2 units and stretched by 5 .

Hence the correct option is to translate down 2 unit

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Answer:

15. 4x¹⁰

16. 30m³

Step-by-step explanation:

15. Area of Rectangle is given by A=LW

    since W=x⁵ and L is 4 times W, L=4x⁵

    therefore, A = x⁵(4x⁵) = 4x¹⁰

16. Volume of Rectangular Prism is V=LWH

    W=6L=6m  and  H=5L=5m  and  L=m

   so V = m(6m)(5m) = 30m³

Answer:

we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.

Step-by-step explanation:

We can use the commutative property of multiplication to see that 3 x 4 is the same as 4 x 3 and 6 x 2 is the same as 2 x 6. When multiplying two numbers, the order of the numbers does not affect the product. Therefore, we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.

NEED MORE EXPLANATION?

The commutative property of multiplication states that when multiplying two numbers, the order of the numbers does not affect the product. This means that 3 x 4 is the same as 4 x 3, and 6 x 2 is the same as 2 x 6. We can use this property to compare 4 x 3 and 2 x 6, equal to 12. Therefore, we can see that both products are identical and neither is greater.

Answer:

The point estimate is 0.342.

Step-by-step explanation:

Among these children, 145 out of 304 became ill after eating burritos served by their school's cafeteria.

This means that:

\(p_B = \frac{145}{304} = 0.477\)

On the other hand, only 20 of the remaining 148 who did not eat burritos became ill.

This means that:

\(p_{NB} = \frac{20}{148} = 0.135\)

a). (3 points) Using this data, give a point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness.

The point estimate is the subtraction of the sample proportions. So

\(p = p_N - p_{NB} = 0.477 - 0.135 = 0.342\)

The point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness is 0.342.

The point (3, b) lies on the circle with radius 6 and center (-1, -1), the possible values of b are 3.47 or -5.47.

In Mathematics and Geometry, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²

Where:

Substituting the given points into the equation of a circle formula, we have the following;

(x - h)² + (y - k)² = r²

(x - (-1))² + (y - (-1))² = 6²

(x + 1)² + (y + 1)² = 36.

Since the point (3, b) lies on the circle, we have;

(3 + 1)² + (b + 1)² = 36.

16 + b² + 2b + 1 = 36

b² + 2b - 19 = 0

By solving the quadratic function, the possible values of b is given by;

x = 3.47 or x = -5.47.

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Answer:

Add

-4 and 7.

3=11

Step-by-step explanation:

:)

2/3 = 8/12

7/12 = 7/12

3/4 = 9/12

7/12 < 8/12 < 9/12

So, 7/12 < 2/3 < 3/4

The functions (f.g)(x) and (g.s)(x) are illustrations of composite function

The values of the composite functions are:

(fg)(x) = -6x^2 + 31x - 40 and (gs)(x) = -8x^3 + 38x^2 -49x+ 10

The equation of the functions are given as:

f(x) = 3x - 8

g(x) = -2x + 5

s(x) = 4x^2 - 9x + 2

.

The composite functions are calculated using:

(fg)(x) = f(x) * g(x)

So, we have:

(f g)(x) = (3x - 8) * (-2x + 5)

Evaluate the product

(fg)(x) = -6x^2 + 15x + 16x - 40

Evaluate the like terms

(fg)(x) = -6x^2 + 31x - 40

Also, we have:

(gs)(x) = g(x) * s(x)

So, we have:

(gs)(x) = (-2x + 5) * (4x^2 - 9x + 2)

Expand

(gs)(x) = -8x^3 + 18x^2 -4x + 20x^2 - 45x + 10

Collect like terms

(gs)(x) = -8x^3 + 18x^2 + 20x^2-4x - 45x + 10

Evaluate the like terms

(gs)(x) = -8x^3 + 38x^2 -49x+ 10

Hence, the values of the composite functions are:

(fg)(x) = -6x^2 + 31x - 40 and (gs)(x) = -8x^3 + 38x^2 -49x+ 10

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These pairs of sets of numbers: (a) {1, 3, 3, 3, 5, 5, 5, 5, 5},{5, 3, 1} b) {{1}},{1,{1}} ) ∅,{∅}  are  equal, not equal and not equal respectively

The given pairs of sets of numbers are

a) (1, 3, 3, 3, 5, 5, 5, 5, 5}, {5, 3, 1} b) {{1}}, {1, {1}} c) Ø, {0}​

To determine the reasons for the answers we have

(a) {1, 3, 3, 3, 5, 5, 5, 5, 5},{5, 3, 1}

All the number are distinct elements without any repetition is the same in both sets.

This implies that the sets are equal

b) {{1}},{1,{1}}

From the second set of numbers, the number of elements is not the same in both sets. The number of elements in the two sets are 1 and 2.

This therefore means that the pair of numbers are not equal

c) ∅,{∅}

In the third set of numbers, the number of elements is not the same in both sets.

The number of elements in the pairs are 0 and 1 in each of the sets . This implies that the pair of sets of numbers are not equal

In conclusion these pairs of sets of numbers: (a) {1, 3, 3, 3, 5, 5, 5, 5, 5},{5, 3, 1} b) {{1}},{1,{1}} ) ∅,{∅}  are  equal, not equal and not equal respectively

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Answer:

the area of the rectangle is 35.25 square meters.

Step-by-step explanation:

To find the area of a rectangle, we multiply the length by the width.

First, we need to convert the mixed numbers to improper fractions to make the multiplication easier:

4 and 2/4 = 4 + 2/4 = 16/4 + 2/4 = 18/4

7 and 5/6 = 7 + 5/6 = 42/6 + 5/6 = 47/6

Now we can multiply the length and width:

Area = (18/4) * (47/6)

Area = (9/2) * (47/6) (canceling the common factor of 2 between 18/4 and 6 in 47/6)

Area = (9 * 47) / (2 * 6)

Area = 423/12

Area = 35.25

Therefore, the area of the rectangle is 35.25 square meters.

Answer:

q=8/3

Step-by-step explanation:

First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.

Answer:

\(q=2\frac{2}{3}\)

Step-by-step explanation:

The given equation consists of a fraction and a mixed number.

First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

\(q-\dfrac{5}{6}=1 \frac{5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{11}{6}\)

Now, add 5/6 to both sides of the equation to isolate q:

\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)

\(q=\dfrac{11}{6}+\dfrac{5}{6}\)

As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:

\(q=\dfrac{11+5}{6}\)

\(q=\dfrac{16}{6}\)

Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).  

The GCF of 16 and 6 is 2, therefore:

\(q=\dfrac{16\div 2}{6 \div 2}\)

\(q=\dfrac{8}{3}\)

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

\(q=2 \; \textsf{remainder}\;2\)

The mixed number answer is the whole number and the remainder divided by the denominator:

\(q=2\frac{2}{3}\)