At Rosa's Rose Shop, a bouquet containing a dozen roses costs $20. If the price of a bouquet is directly proportional to the number of roses it contains, how many dollars will a bouquet of 39 roses cost?

Answer:

m= -1/2

Step-by-step explanation:

The discrepancy model, comparing IQ scores with academic achievement, was used to identify severe discrepancies before IDEA 2004. IDEA 2004 introduced a more comprehensive approach .



Before IDEA 2004, the most common way to identify a severe discrepancy between expected and actual achievement was through the use of the "discrepancy model" or "ability-achievement discrepancy model." This model was primarily used for determining eligibility for special education services, particularly for students with specific learning disabilities.

Under the discrepancy model, a significant gap or discrepancy was required to exist between a student's expected academic achievement and their actual performance, often measured using standardized tests. Typically, a student's intellectual ability or IQ score was compared to their academic achievement scores to determine if there was a severe discrepancy. If the difference between the two scores was deemed substantial enough, the student would be eligible for special education services.

However, it's important to note that the use of the discrepancy model for identifying specific learning disabilities has been controversial, and IDEA 2004 introduced significant changes to the identification process. IDEA 2004 shifted the focus from relying solely on the discrepancy model to a more comprehensive approach that considers a variety of assessment data and response to intervention (RTI) strategies. This change aimed to provide earlier and more effective interventions for students who may be struggling academically, regardless of the presence of a severe discrepancy.

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Answer:

the length of ab is 8

x=3

Step-by-step explanation:

The value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

A mixed fraction is a fraction that is created by fusing a fraction with a whole number. The fraction is defined as the division of the whole part into an equal number of parts.

The given fractions 34/9, 43/9, and 32/5 can be written in the form of the mixed fraction as below:-

To write the fractions in the form of the mixed fraction first divide the fraction by the complete number and put the remainder on the numerator.

34/9 = 3(⁷/₉)

43/9 = 4(⁷/₉)

32/5 = 6(²/₅)

Therefore, the value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

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Answer: its (4f 5) ^3

Step-by-step explanation:

Answer:

1 x $50, 1 x $5 and 4 x $2

Step-by-step explanation:

This is in dollars, and I am absolutely stumped on how to do it in pounds. That would be the solution however, if it were to be in dollars.

Apologies.

The Texas Star® Ferris wheel at the Texas State has diameter of 65 meters.

Circumference -- The distance around the circle (the perimeter of a circle).

Diameter -- The distance from the circle through the circle's center to the circle on the opposite side. (twice the radius)

Radius -- The distance from the center of a circle to the circle (half the diameter). Draw a line segment from the center of the circle to any part of the circle and you have the radius.

                 Circumference(C) = 2d

                 C=π*d

                 π*d=204.1

                 d=204.1/3.14

                 d=65

Hence, the diameter of the wheel is 65 meters .

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Answer:

An algebraic expression

Answer:

296.4cm

Step-by-step explanation:

you do 9.5cm x 5.2cm x 6cm = 296.4cm

45781

this was a hard question and I do not understand it.

Answer:

Roller skates speed = 9 miles per hour

Bike speed = 17.5 miles per hour

Step-by-step explanation:

On roller-skates, Ian can travel 3/4 of a mile in 5 minutes.

Speed = Distance(miles)/Time(hours)

Convert 5 minutes to hour

60 minutes = 1 hour

5 minutes = 5/60

= 1/12 hour

Hence, his speed =

3/4mile ÷ 1/12

= 3/4 × 12/1

= 9 miles per hour

On his bike, he can travel 3 1/2 miles in 12 minutes.

Convert 12 minutes to hour

60 minutes = 1 hour

12 minutes = 12/60 = 1/5

Hence, his speed =

3 1/2 mile ÷ 1/5

= 7/2 ÷ 1/5

= 7/2 × 5/1

= 35/2 miles per hour

= 17.5 miles per hour

Answer:

= -3x +3

Step-by-step explanation:

like terms (7x) -(4x)

or 7x + -4x = -3x

no like terms to condense 3

The given statement is "For all integers a, b, and c, if a is a factor of c and b is a factor of c then ab is a factor of c." This statement is false, and a counterexample is

a = 2, b = 3, c = 12

a is a factor of c since 2 divides 12, and b is a factor of c since 3 divides 12. However, ab = 2 × 3 = 6 is not a factor of c since 6 does not divide 12.

To elaborate further, we can see that the counterexample (a = 2, b = 3, c = 12) shows that it is possible for a and b to both be factors of c but for their product ab to not be a factor of c. In this case, c has other factors (besides 2 and 3) that prevent ab from being a factor of c.

It is important to note that this does not mean that the product of two factors of a number can never be a factor of that number. There are many cases where this is true. However, the given statement claims that this is true for all integers a, b, and c, which is not the case.

In general, when trying to prove or disprove a statement of this form, it is useful to look for counterexamples that show that the statement is false. If a counterexample can be found, then the statement is false. If no counterexample can be found, then it may be true, but a formal proof is needed to establish its truth.

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Answer:

(7,0) and (-3,0)

Step-by-step explanation:

Given the factors, we want to get the x-intercepts

All we have to do is to get the x values by equating the factors to zero

we have this as;

(x -7) = 0 and (x + 3) = 0

x = 7 and x = -3

The x-intercepts are;

(7,0) and (-3,0)

When J.B. is at (2, 2), the rate at which the intensity of the moonlight shining on him is changing is 21 millilux per second.

To find the rate at which the intensity of the moonlight shining on J.B. is changing, we need to calculate the derivative of the intensity function I(x, y) with respect to time.

Let's start by calling J.B.'s path as r(t) = (x(t), y(t)), where t represents time.

The velocity of J.B. is given as a constant 3 m/s in the x-direction. This means the x-component of the velocity vector is dx/dt = 3 m/s, and the y-component of the velocity vector is dy/dt = 0, as J.B. is not moving in the y-direction.

Now, we can use the chain rule to find the rate at which the intensity of the moonlight is changing with respect to time.

The intensity function is given as I(x, y) = x² + 3x + y².

Taking the derivative with respect to time, we have

dI/dt = ∂I/∂x × dx/dt + ∂I/∂y × dy/dt

Let's calculate the partial derivatives of I(x, y) with respect to x and y

∂I/∂x = 2x + 3

∂I/∂y = 2y

Substituting these values and the known velocities into the derivative expression, we get

dI/dt = (2x + 3) × dx/dt + 2y × dy/dt

Since dx/dt = 3 and dy/dt = 0, we can simplify the equation further

dI/dt = (2x + 3) × 3 + 2y × 0

= 6x + 9

Now, we need to find the values of x and y when J.B. is at (x, y) = (2, 2).

Substituting these values into the equation, we have

dI/dt = 6(2) + 9

= 12 + 9

= 21

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Answer:

23

Step-by-step explanation:

25-14 = 11

11+12=23

that would be your answer

Answer:

B. (-7,-3)

Step-by-step explanation:

Given the circle: \((x + 7)^2 + (y - 10)^2 = 13^2\)

The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.

We now consider the given options.

Option A (5,12)

When x=5, y=12

\((5 + 7)^2 + (12 - 10)^2 =12^2+2^2=148\neq 169= 13^2\)

Option B (-7,-3)

When x=-7, y=-3

\((-7 + 7)^2 + (-3 - 10)^2 =0^2+(-13)^2= 169=13^2\)

Option C (-6,-10)

When x=-6, y=-10

\((-6 + 7)^2 + (-10 - 10)^2 =1^2+(-20)^2=401\neq 169= 13^2\)

Option D (6,23)

When x=6, y=23

\((6 + 7)^2 + (23 - 10)^2 =13^2+13^2=338\neq 169= 13^2\)

We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.

The correct option is B.

Answer:

x = 2

Step-by-step explanation:

GIVEN :-

TO FIND :-

SOLUTION :-

To find the value of x , lets assume that both the triangles are similar to each other. As they are similar , their sides are proportional to each other i.e. :-

\(\frac{KJ}{JL} = \frac{QR}{QS}\)

\(=> \frac{3}{x} = \frac{12}{x + 6}\)

\(=> 3(x + 6) = 12 \times x\)

\(=> 3x + 18 = 12x\)

\(=> 12x - 3x = 3x + 18 - 3x\)

\(=> 9x = 18\)

\(=> \frac{9x}{9} = \frac{18}{9}\)

\(=> x = 2\)

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer:

D

Step-by-step explanation:

D

Answer:

He needs to get 100% on his next test

Explanation:

(59 + 80 + 65 + 96 + 100) / 5

Answer:

31.5 or 32

Step-by-step explanation:

Divide 126 by 4

Carson Kelly is expected to hit approximately 31 home runs in 2024.

To find how many home runs Carson Kelly is expected to hit in 2024, we can use the formula for compound interest, where the initial amount is the number of home runs he hit in 2019, and the interest rate is the expected growth rate of his home run hitting ability, which is 12 percent or 0.12 as a decimal.

Let H be the number of home runs hit in 2019, and H(n) be the number of home runs hit in year n, then we can write:

H(n) = H * (1 + r)^n

Where r is the growth rate, and n is the number of years into the future.

If we plug in the given values, we can find the number of home runs Carson Kelly is expected to hit in 2024, which is 5 years after 2019.

H = 18 (number of home runs in 2019)

r = 0.12 (growth rate)

n = 5 (number of years into the future)

H(5) = 18 * (1 + 0.12)^5

H(5) = 18 * 1.7623

H(5) = 31.9214

It's important to note that this is simply an estimate based on the given growth rate, and the actual number of home runs he hits in 2024 may vary based on many factors, including injuries, team support, and the skill of opposing pitchers, among others.

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Answer:

3.

11² + 11² = x²

121 + 121 = x²

242 = x²

x = √242

x = 11√2

4.

tan(60°) = y/36

√3 = y/36

y = 36√3

tan(30°) = x/36

√3/3 = x /36

x = 36√3/3

x = 12√3

Answer:

Step-by-step explanation:

3) Using the Pythagorean Theorem (A^2+B^2=C^2) We can tell that x^2=11^2+CB^2. If you can find what CB is then you can find x by doing 11^2+CB^2=x^2 and if you square root x^2 you get x.

4) Same thing, y^2+x^2=36^2.

Answer:

the probability that they find enough subjects for their​ study is 0.9515

Step-by-step explanation:

From the given information:

Let X be the random variable that follows a normal distribution.

Therefore:

X \(\sim\)Binomial(n=733,p=0.04)

\(\mu = np\)

\(\mu = 733*0.04\)

\(\mu = 29.32\)

\(\sigma = \sqrt{np(1-p)}\)

\(\sigma = \sqrt{29.32(1-0.04)}\)

\(\sigma = \sqrt{29.32(0.96)}\)

\(\sigma = \sqrt{28.1472}\)

\(\sigma = 5.305\)

The probability of P(X ≥ 21) lies in the region between 20.5 and 21.5 by considering a discrete contribution of a continuous normal distribution. Eventually, X > 20.5

∴

P(X >20.5)= P(Z > z)

Using  standard normal z formula:

\(z = \dfrac{x-\mu}{\sigma}\)

\(z = \dfrac{20.5-29.32}{5.305}\)

\(z = \dfrac{-8.82}{5.305}\)

\(z = -1.662582\)

z = -1.66

P(X >20.5)= P(Z > -1.66)

From the standard z tables ;

P(X >20.5)= 1 - 0.0485

P(X >20.5)= 0.9515

An ordered pair which makes both inequalities true is (-1, -3).

An ordered pair is a pair of two points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.

Next, we would test the ordered pair with the given system of inequalities in order to determine which is true.

For ordered pair (-3, 5), we have:

y < –x + 1

5 < -(-3) + 1

5 < 3 + 1

5 < 4 (False).

For ordered pair (-2, 2), we have:

y < –x + 1

2 < -(-2) + 1

2 < 2 + 1

2 < 3 (True).

y > x

2 > -2 (True)

For ordered pair (-1, -3), we have:

y < –x + 1

-3 < -(-1) + 1

-3 < 1 + 1

-3 < 2 (True).

y > x

-3 > -1 (False)

For ordered pair (0, -1), we have:

y < –x + 1

-(-1) < -(0) + 1

1 < 1

1 < 1 (False).

y > x

-1 > 0 (False)

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Option A. No, there is no exponent. There is no exponential function in the equation.

An exponential function is a mathematical function in the form of f(x) = a^x, where "a" is a constant base and "x" is the exponent. In this function, the variable x is usually the input, and the output value of the function is the result of the base "a" raised to the power of "x."

Exponential functions can also be written in different forms, such as f(x) = ab^x, where "a" is a constant, and "b" is the base raised to a constant power.

y = x⁵ is not an expuential function.

If y=a* It's an exponential function.

"a" is a constant and a ≠ 0

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The complete question goes thus:

Explain whether the given equation defines an exponential function. Give the base for each function.

y= x⁵

O No, there is no exponent.

Yes, the base is 5.

O Yes, the base is x.

O No, the base is not a constant.