Mrs. Santiago is buying bagels for her office.Each box contains 6 plain, 4 blueberry, and2 onion bagels. Write and interpret a ratiothat compares the number of blueberrybagels in one box to the number of onionbagels in one box. Then find the total number of onion bagels if there are a totalof 20 blueberry bagels.

If a graph is a function, then any vertical line that we draw on

the graph should hit the graph at only one point.

In the image below, this looks almost identical to the fourth image you have.

I did my best to draw this one below.

Notice the red arrows I put.

Since the red arrows only hit the line at one point,

the relation must be a function so the 4th picture is your answer.

Answer:

see the attachment!

i hope this can help you.

Given:

The objective is to solve the values of x for the equation,

The value of x can be calculated by taking x to the power of 3 as common from both the terms.

Hence, the possibles values of x is +6, -6.

Answer:

1/6 × 60 = 10. ( 1/6 of an Hour ).

Answer:

10 minutes is 10/60 = 1/6 of an hour, and 24 minutes is 24/60 = 6/15 of an hour, for example.

Travis' famous letter, addressed to "The People of Texas and All Americans in the World," in which he passionately appealed for reinforcements and vowed to "never surrender or retreat," has become a symbol of the fortitude and sacrifice displayed by the Texan defenders at the Alamo.

The commander of the Texan forces at the Alamo during the famous battle in 1836 was Colonel William B. Travis. Travis, a lawyer and soldier, was chosen as the leader of the Texan garrison at the Alamo, a former mission turned fortress in San Antonio, Texas. He assumed command of the Texan forces in early 1836 and played a crucial role in the defense of the Alamo against the Mexican army led by General Santa Anna.

Travis and his men, along with notable figures such as James Bowie and Davy Crockett, bravely defended the Alamo against overwhelming odds for thirteen days. Despite their courage and determination, the Texan defenders were ultimately overrun by the Mexican forces on March 6, 1836, and suffered heavy casualties, including the deaths of Travis, Bowie, and Crockett.

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Answer:

v (E) = √(2E/m)

Step-by-step explanation:

From the question given:

E = ½mv²

E is the kinetic energy

m is the mass of object

v is the velocity.

To find a model v(E) for the velocity of the object, we simply make V the subject of the above equation.

This can be obtained as follow:

E = ½mv²

Cross multiply

mv² = 2E

Divide both side by m

v² = 2E/m

Take the square root of both side

v = √(2E/m)

Therefore, the model v(E) for the velocity of the object is given by:

v (E) = √(2E/m)

Answer:

837/1150=0.727

Or 73%

Step-by-step explanation:

Answer:

2x^2 - 6x + 7 - (5x^2 + 2x - 8)

Distributive a -1 to each term in the parentheses.

2x^2 - 6x + 7 - 5x^2 - 2x + 8

Combine like terms.

-3x^2 - 8x + 15 is the expression after being subtracted.

Answer:

Step-by-step explanation:

(2x² − 6x + 7) − (5x²  + 2x +8)

To find the opposite of 5x²  + 2x + 8, find the opposite of each term.

2x²  − 6x + 7 − 5x²  − 2x − 8

Combine 2x²  and −5x²  to get −3x²

−3x²  − 6x + 7 − 2x − 8

Combine −6x and −2x to get −8x.

−3x² − 8x + 7 − 8

Subtract 8 from 7 to get −1.

−3x² − 8x − 1

The solution of inequalities is  y≤\(\frac{1}{2}\)x +2 and y> 2x-1.

What is inequality?

The term "inequality" is used in mathematics to describe a relationship between two expressions or values that is not equal to one another. Inequality results from a lack of balance. When two quantities are equal, we use the symbol '=', and when they are not equal, we use the symbol. If two values are not equal, the first value can be greater than (>) or less than (), or greater than equal to () or less than equal to ().

Here the given inequalities is x-2y≥-4 and 2x-y<1.

=>  x-2y+4≥-4+4   and   2x-y +(-1)<1-1

=> x-2y+ 4 ≥ 0 and 2x-y-1<0

=> 2y ≤x+4 and y > 2x-1

=> y≤\(\frac{1}{2}\)x +2 and y> 2x-1

Hence the solution of the inequalities is  y≤\(\frac{1}{2}\)x +2 and y> 2x-1.

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Using the constant of proportionality the value of x when y is 72 is 9.

What is a COP?

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

If y varies directly as x, it means that y can be expressed as a constant multiple of x, i.e., y = kx, where k is the constant of proportionality.

To find k, we can use the given information that y = 48 when x = 6 -

y = kx

48 = k(6)

k = 8

Now that we know k, we can use it to find x when y = 72 -

y = kx

72 = 8x

x = 9

Therefore, when x = 72, the value of x = 9.

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Answer:

The smaller number is 5.

The bigger number is 15.

Step-by-step explanation:

Let the smaller number be x and the bigger number be x+10.

x+x+10 = 4x

2x+10 = 4x

10 = 4x-2x

2x = 10

x = 10÷2

  = 5

x+10 = 5+10

       = 15

Answer:

81 points

Step-by-step explanation:

8/9 = 72 / x

8 goes into 72, 9 times

9 times 9 is 81

I'm sorry if the explanation doesn't make sense. I hope this helps!

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

The correct  equation is D. x2 + y2 + 6x − 24y + 148 = 0.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.


This equation is the general form of a circle with center A and radius 5. The equation can be derived from the coordinates of the center A and the radius of the circle. The center of the circle is located at (-3, 12). To get the equation, first calculate the distance between the center A and a point on the circumference of the circle, which is the radius of the circle, 5. Then, use the Pythagorean theorem to calculate the equation of the circle: x2 + y2 + 6x – 24y + 148 = 0.
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The area of the rectangle formed by the set of points are in the order :

Area of ABCD = 50 square units, Area of EFGH = 180 square units, Area of IJKL = 80 square units, Area of MNOP = 60 square units, Area of QRST = 100 square units and Area of UVWX = 300 square units.

Given are set of points which forms a rectangle.

We have to find the area of each rectangle.

A(-9, 8), B(-5, 5), C(1, 13), D(-3, 16)

Find the lengths of adjacent sides, that is AB OR CD and BC or AD.

Using the distance formula,

AB = \(\sqrt{(-5--9)^2+(5-8)^2}\) = 5

BC = \(\sqrt{(1--5)^2+(13-5)^2}\) = 10

Area of ABCD = 5 × 10 = 50 square units

E(30, 20), F(39, 29), G(49, 19), H(40, 10)

Using the distance formula,

EF = \(\sqrt{(39-30)^2+(29-20)^2}\) = √162

FG = \(\sqrt{(49-39)^2+(19-29)^2}\) = √200

Area of EFGH = √162 × √200 = 180 square units

I(-6, 2), J(2, 2), K(2, -8), L(-6, -8)

Using the distance formula,

IJ = \(\sqrt{(2--6)^2+(2-2)^2}\) = 8

JK = \(\sqrt{(2-2)^2+(-8-2)^2}\) = 10

Area of IJKL = 8 × 10 = 80 square units

M(5, 5), N(11, 5), O(11, -5), P(5. -5)

Using the distance formula,

MN = \(\sqrt{(11-5)^2+(5-5)^2}\) = 6

NO = \(\sqrt{(11-11)^2+(-5-5)^2}\) = 10

Area of MNOP = 6 × 10 = 60 square units

Q(10, 0), R(15, 5), S(25,-5), T(20, -10)

Using the distance formula,

QR = \(\sqrt{(15-10)^2+(5-0)^2}\) = √50

RS = \(\sqrt{(25-15)^2+(-5-5)^2}\) = √200

Area of QRST = √50 × √200 = 100 square units

U(0, 5), V(15, 20), W(25, 10), X(10, -5)

Using the distance formula,

UV = \(\sqrt{(15-0)^2+(20-5)^2}\) = √450

VW = \(\sqrt{(25-15)^2+(10-20)^2}\) = √200

Area of UVWX = √450 × √200 = 300 square units

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Answer:

3 pieces

Step-by-step explanation:

The modifications and their effects on the ecosystem include:

With the construction of the Los Angeles aqueduct, water was transported to the west such that many desert regions there became lush urban areas and farmlands.

Large high ways and the damming of the Colorado River did not have such a good impact however, as they both led to runoff and to water bodies in the Owen valley drying up.

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The zeros of a function are the values of x that, when evaluated in the function, make the output of the function to be zero.

A function is written in general form as y = f(x)

That notation says that, when we use the input "x" in a given function, that function "transforms" that input x into an output "y"

So y = f(x) is the value that the function takes for the input x.

A zero is an input of the function such that:

0 = f(x)

So the zeros are the inputs that have an output of zero, in this case you know that the function has a zero at 3, and as you can see, when x = 3, the function intercepts the x-axis, which is the axis defined by y = 0.

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Yes, this is a polynomial, but a special form of a polynomial with just one term which is called a monomial .

Answer: The value of the hypotenuse is 61.

Step-by-step explanation:

So we are given a triangle with two known sides; two legs with values of 11 and 60. We have to use the Pythagorean Theorem to find the value of the hypotenuse.

The Pythagorean Theorem states that, "the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".

This means that:

a^2 + b^2 = c^2

leg^2 + leg^2 = hypotenuse^2

So just by looking at that, we know that we can just substitute the values in:

11^2 + 60^2 = x^2

121 + 3600 = 3721

sqrt of 3721 = 61

So the hypotenuse value is 61.

Answer:

32

Step-by-step explanation:

because if he did 16 cups both days

hopefully this helps

Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.

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As, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively. So,  if a commutes with d, then it must be block diagonal.

Let's suppose that d is a diagonal matrix with repeated diagonal entries grouped contiguously, i.e.,

d = \(\begin{pmatrix} D_1 & 0 & 0 & \cdots & 0 \ 0 & D_1 & 0 & \cdots & 0 \ 0 & 0 & D_2 & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & D_k \end{pmatrix}\),

where \(D_1, D_2, \dots, D_k\) are scalars and appear with frequencies \(m_1, m_2, \dots, m_k\), respectively, so that \(m_1 + m_2 + \dots + m_k = n\), the size of the matrix.

Suppose that \(a\) is a matrix that commutes with d, i.e., ad = da.

Then, for any \(i \in {1, 2, \dots, k}\), we have

\(ad_{ii} = da_{ii}\)

Here, \(d_{ii}\) denotes the \(i$th\) diagonal entry of d, i.e., \(d_{ii} = D_i\) for \(i = 1, 2, \dots, k\). Since d is diagonal, \(d_{ij} = 0\) for \(i \neq j\), and

hence

\(ad_{ij} = da_{ij} = 0\)

for all \(i \neq j\).

Therefore, a is also diagonal, with diagonal entries \(a_{ii}\), and we have

\(a = \begin{pmatrix} a_{11} & 0 & 0 & \cdots & 0 \ 0 & a_{11} & 0 & \cdots & 0 \ 0 & 0 & a_{22} & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & a_{kk} \end{pmatrix}\)

Thus, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively.

Therefore, if a commutes with d, then it must be block diagonal.

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The unknown angle measures are 51.5° and 51.5° respectively.

What is an isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides.

Given, side DE = side EF

Then, ∠D = ∠F

So, the sum of all angles of the triangle = 180°

or, ∠D + ∠E + ∠F = 180°

or, ∠F + 77° + ∠F = 180°

or, 2∠F = 180° - 77°

or, ∠F = 103/2 = 51.5°

And, ∠D = 51.5°

Hence, the unknown angle measures are 51.5° and 51.5° respectively.

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For finding a 95% confidence interval:

a) The sample mean is x = 16.13.

The sample standard deviation is s = 6.948.

The degrees of freedom are df = 10.

The critical value of t for a 95% confidence interval is t = 2.228.

The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.

The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).

b) The 95% confidence interval is (11.867, 20.393).

This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.

c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.

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Evaluations can only be done with algebraic equations

Answer:

-111

Step-by-step explanation:

Subtract 13 from -98  

The coefficients \(a_0,a_1,a_2,a_3\) could be chosen to be the coefficients in the Maclaurin series of \(\sin(x)\).

We have

\(y = \sin(x) \approx a_0 + a_1 x + a_2 x^2 + a_3 x^3 \\\\ \implies y(0) = 0 = a_0\)

\(y' = \cos(x) \approx a_1 + 2a_2 x + 3a_3 x^2 \\\\ \implies y'(0) = 1 = a_1\)

\(y'' = -\sin(x) \approx 2a_2 + 6a_3 x \\\\ \implies y''(0) = 0 = 2a_2\)

\(y''' = -\cos(x) \approx 6a_3 \\\\ \implies y'''(0) = -1 = 6a_3\)

It follows that \(a_0=0\), \(a_1=1\), \(a_2=0\), and \(a_3 = -\frac16\).