OF
Place each equation next to the statement it matches.
A car is rented for $40 per day plus $0.25 per mile
driven. The total is $45.50
Karen buys four t-shirts for $45.50. The three red t-
shirts each cost 4 times the price of one blue t-shirt.
Finn buys a toy boat for $45.50 including tax He was
charged 7% sales tax on the original price
Nick buys a sweater and a jacket for $45.50. The
jacket costs 4 times as much as the sweater
:: X+0.07% = 45.50
1 X + 4x = 45.50
:: x + 3(4x) = 45.50
:: 40 + 0.25x + 45.50

The thing to tell Irene to convince her that these cards don’t match is that the addition of the variables will not give 4x + 2.

An expression can be used to illustrate the relationship between the variables that are given in the data.

The addition of the variables will be illustrated thus:

x + 2 + x + 2 + x + 2 + x + 2 = 28

4x + 8 = 28

In the question, it was written as 4x + 2 = 28. This shows that it won't match.

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Answer:

C. If a number has a negative cube root, then the number is negative.  

Step-by-step explanation:

took the quiz

The inverse of the conditional statement is " If a number does not have a negative cube root, then the number is not negative. "

A conditional statement is a type of logical statement that expresses a relationship between two propositions or statements. It typically takes the form "if p, then q" where p and q are propositions. The statement "if p, then q" is read as "if p is true, then q is true" or "p implies q".

The truth value of a conditional statement depends on the truth values of its antecedent (p) and its consequent (q). If p is true and q is true, then the conditional statement is true. If p is true and q is false, then the conditional statement is false. If p is false, then the truth value of the conditional statement is irrelevant and it is said to be vacuously true.

Given data ,

Let the statement be represented as A

Now , the inverse of the statement is A'

where A = "If a number is negative, then it has a negative cube root."

Now , the inverse of the conditional statement is

A' = " If a number does not have a negative cube root, then the number is not negative. "

Hence , the inverse is " If a number does not have a negative cube root, then the number is not negative. "

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Answer:

The square root of 30 is a decimal 5.477...

Step-by-step explanation:

The square root of 30 = 5.477 rounded up is 5.5

For equation z² = x² + y² , when x = 2 and y = 5, then the value of dz/dt is equal to 42 / (√29).

Given equation is z² = x² + y² and dy/dt = 7

To find dz/dt, we can differentiate both sides of the equation z² = x² + y² with respect to t:

2z(dz/dt) = 2x(dx/dt) + 2y(dy/dt)

Since dy/dt = 7, we can substitute it into the equation:

2z(dz/dt) = 2x(dx/dt) + 2y(7)

We are given that dx/dt = 7, so we can substitute it as well:

2z(dz/dt) = 2(7) + 2y(7)

Now we need to find the value of z when x = 2 and y = 5.

From the equation z² = x² + y², we can solve for z:

z² = 2² + 5²

z² = 4 + 25

z² = 29

Taking the square root of both sides:

z = √29

Substituting the values into the equation:

2(√29)(dz/dt) = 2(7) + 2(5)(7)

2(√29)(dz/dt) = 14 + 70

2(√29)(dz/dt) = 84

Dividing both sides by 2(√29):

dz/dt = 84 / (2(√29))

dz/dt = 42 / (√29)

Therefore, when x = 2 and y = 5, dt/dt is equal to 42 / (√29).

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Answer:

You would write that as 16,517

Okay, here are the steps:

1) For the new drug group, the mean reduction is 25 points and standard deviation is 3.1.

To get the 90% CI, we calculate:

Mean ± (1.645 * SD)

= 25 ± (1.645 * 3.1)

= 24.584 to 25.416

2) For the placebo group, the mean reduction is 18 points and standard deviation is 2.8.

To get the 90% CI, we calculate:

Mean ± (1.645 * SD)

= 18 ± (1.645 * 2.8)

= 17.624 to 18.376

3) Since the CI for the new drug (24.584 to 25.416) lies above the CI for the placebo (17.624 to 18.376), there is evidence that the drug is working.

The other options are incorrect. The CI for the new drug does not lie below the placebo CI, so there is evidence the drug is working, not not working.

Thekey is to compare the CI ranges for the two groups. If the CI range for the new drug group lies above the CI range for the placebo group, that indicates the new drug is likely more effective in reducing blood sugar levels, providing evidence that the drug is working.

Does this help explain the steps? Let me know if you have any other questions!

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

The possible value of third side of triangle c lies between 9 and 25 by the triangle inequality theorem. 9 < c < 25 is correct.

According to triangle inequality theorem that, given two sides length of a triangle, the length of the third side of the triangle must be larger than the difference and smaller than the sum of the two given sides.

for two sides length a and b of a triangle and third side is c,

then according to triangle inequality theorem

(a-b) < c < (a+b)

in the given example we have two sides of triangle are 8 and 17.

let a=17

b=8 and unknown side is c

from triangle inequality theorem

(17-8) < c < (17+8)

9 < c < 25.

thus, the length of third side of triangle lies between 9 to 25.

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Answer: 3 1/3 miles

Step-by-step explanation:

Answer:

49,820

Step-by-step explanation:

so what you were going to do first is you're going to do 940 * 53 there is which equals 2820 and then you're going to do turtle messes so then you're going to do 5 * 0 which equals zero then five times for which equals 20 + 5 * 9 which equals 45 + 2 which 45 + 2 equals 47 so you have 2820 + 47000 which equals 49,820

The Distance between P and Q is PQ² = 2 - 2 ( cos β. cos α + sin β. sin α).

The two points on the cartesian plane having coordinates P(a, b) and Q( c, d) then the distance between P and Q is

PQ²= ( c- a )² + (d -b)²

Given:

we have the coordinates P( cos α, sin α) and Q( cos β, sin β).

Using Distance formula

PQ²= ( cos β- cos α)² + (sin β - sin α)²

PQ²= cos² β  + cos² α - 2 cos β. cos α  +  sin² β  + sin² α - 2 sin β. sin α

PQ²= (cos² β +  sin² β) + (cos² α + sin² α ) -  2 cos β. cos α- 2 sin β. sin α

As, we know that sin² x + cos² x = 1

PQ² = 1 + 1 - 2 ( cos β. cos α + sin β. sin α)

PQ² = 2 - 2 ( cos β. cos α + sin β. sin α)

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Answer:

El ingenioso Beremíz, personaje del libro El hombre que calculaba utilizó cuatro cuatros para formar los números del 0 al 9. Las reglas para expresar esos números era que sólo se podían usar las operaciones usuales suma, resta, multiplicación y división, y cuatro cuatros en cada caso. Por ejemplo, para escribir el cuatro lo hizo así a 4 le restó 4. al resultado lo multiplicó por 4 y a eso sumó 4. Observa que si a 4 le hubiera restado 4 y ese resultado lo hubiera multiplicado por la suma de 4 más 4, no habria obtenido 4. Escribe en tu cuaderno lo que se pide.

a) Explica por qué el procedimiento de Beremiz da 4.

b) Escribe todos los números del 0 al 9 con las reglas de Beremíz

Answer:

Step-by-step explanation:

V = w h l

V = 7.5 * 7.5 * 6

V = 337.5cubic feet * 0.05

V = 16.875Lbs

V = 17Lbs (Rounded to nearest pound)

Given:

Cost of each pizza including tax = $8.55

Number of pizzas = 4

Tip = 15%

To find:

Her total bill.

Solution:

We have,

Cost of 1 pizza including tax = $8.55

Cost of 4 pizza including tax = \(4\times \$8.55\)

                                                = \(\$34.2\)

It is given that she wanted to give a 15% tip. So, tip is 15% of $34.2.

\(\dfrac{15}{100}\times \$34.2=\$5.13\)

Thus, the amount of tip is $5.13.

Now the total amount of bill is:

\(\text{Total amount of bill}=\text{Cost including tax}+\text{Tip}\)

\(\text{Total amount of bill}=\$34.2+\$5.13\)

\(\text{Total amount of bill}=\$39.33\)

Therefore, the total amount of bill is $39.33.

The p-value associated with the null hypothesis = 0.05

Fail to reject the null hypothesis. The​ P-value is greater than the level of significance.

Candice should reject the null hypothesis as the 50% confidence interval does not contain 10 hours

Small p-values offer proof that the null hypothesis is false. The stronger the evidence is against the null hypothesis, the smaller (closer to 0) the p-value. The null hypothesis is rejected if the p-value is less than or equal to the chosen significance level; otherwise, it is not.

You have the Hypothesis that "students study less than 10 hours, on average, per week"

Symbolically:

H₀:μ≥10hours

H₁:μ<10hours

The significant level for this case study is 50% - 0.05. If the results gotten is less than the significance level, we reject the null hypothesis, but if greater, we fail to reject the null hypothesis.

The p-value of 0.05 is one of the most often used numbers. When the calculated p-values are less than 0.05, the faulty hypothesis is considered to be fraudulent or invalid (subsequently the name invalid theory). Additionally, the faulty theory is taken into consideration to be clear if the value is greater than 0.05.

The edge for that likelihood in our model is 0.05, and it represents the probability that our results will be similar to the invalid speculation. Therefore, if the calculated p-value is less than 0.05, it actually means that there is a very little likelihood that we would have the same results as the flawed hypothesis. Additionally, if the p-value is greater than 0.05, there is a very strong probability that the results will be similar to the flawed speculation, leading us to conclude that it is legitimate.

Therefore,

Fail to reject the null hypothesis. The​ P-value is greater than the level of significance.

The p-value associated with the null hypothesis = 0.05

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As per the concept of transformation, the isometry image is option (D).

Transformation:

There are  four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure this process is called transformation.

The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image.

Given,

Here we have the 4 images and their corresponding pre image.

Now, we need to determine the which of the transformations represents the isometry.

To identify the isometry from the given image for s we have to know the concept of isometry.

For that, we have to looking in the definition of isometry.

"Isometry defines that the distance between any two points in the original space is the same as the distance between their images in the second space".

As per this definition, the option (D) is the isometry, because the size of the circle remain same.

But the other images are either enlarged or shrink.

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The circumference of a circle is 32π feet, which is the correct answer would be option (B).

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

C = πd

where 'd' is the diameter of the circle

We have to determine the circumference of a circle whose radius is 16 feet

As per the question, we have

The radius of the circle r = 16 feet

Circumference of a circle = 2πr

Substitute the value of r in the above formula, and we get

Circumference of a circle = 2π(16)

Circumference of a circle = 32π

Hence, the correct answer would be an option (B).

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Answer:

Y=5/1 -2

Step-by-step explanation:

I dont know if u can read the answer but its 5 over 1 and thy Y-int is -2

Answer:

The correct answer is 8cm.

Step-by-step explanation:

Vol. Of cone= 1/3pi r²h

= 1/3×3.14× 8²×15

= 8×8×5×3.14

64× 5×3.14

= 320×314/100

=16×314=5024 cm³

Hope this helps:) Goodluck!

Answer:

The correct answer is 8cm.

Step-by-step explanation:

Vol. Of cone= 1/3pi r²h

= 1/3×3.14× 8²×15

= 8×8×5×3.14

64× 5×3.14

= 320×314/100

=16×314=5024 cm³

Hope this helps:) Goodluck!

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Answer:

?

Step-by-step explanation:

What are we supposed to do find the area perimeter we need information thanks

Step-by-step explanation:

Hey there!

See explanation on picture.

Hope it helps....

The coordinate of first stop of bus which is halfway through the route. is (9, -9).

What is coordinate?

Using the horizontal and vertical separations from the two reference axes, a coordinate is a pair of numbers that expresses a point's location on a coordinate plane. generally expressed by the x-value and y-value pair (x,y).

We have to find the coordinate of first stop of bus which is halfway through the route.

It means, We have to find the coordinates of the midpoint of line segment which has start point and end point coordinates as A(-10, 10) and B(8, -8).

The formula to get the mid point coordinate of a line segment which start point and end point coordinates as A(x₁, y₁) and B(x₂, y₂) is:

\(M(a,b) = (\frac{x_2 -x_1}{2} , \frac{y_2-y_1}{2} )\)

putting the value from question:

\(M(a,b) = (\frac{8 -(-10)}{2} , \frac{-8-10}{2} )\)

M(a, b) = (9, -9)

Therefore the coordinate of the midpoint is (9, -9)

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HEYYYYYYYYYYYYYYYYY BAHSJJSIS

Answer:

94640

Step-by-step explanation:

when you use a scientific calculator

The value of x for the given expression is found as 2189/3.

The stated expression is-

3x − 2 = 3^7

Obtain the value of 3^7 by solving its power.

3x − 2 = 2187

(3x − 2) + 2  = 2187 + 2

3x − 2 + 2  = 2189

3x  = 2189

3x / 3  = 2189 / 3

x = 2189/3

Thus, the value of x for the given expression is found as 2189/3.

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The correct question is-

Solve 3x − 2 = 3^7 and find the value of x.

Using Uniform distribution,

a) the mean of distribution is 75.25 and variance is 13.02.

b) the cdf of depth is (x - 7.5)/12.5 , 7.5<x<19 or 1 if X>19

A random variable X is said to have a continuous rectangular distribution over an interval (a, b), i.e.

(−∞<a<b<∞)

if its probability density function is given by,

F(x) = 1/(b-a) , a<x<b

Let the random variable X represents the depth of the bioturbation layer in sediment in a certain region. From the given information the random variable X is uniformly distributed on the interval [7.5, 19].

mean of the uniform distribution is,

μ=E(X)=(b+a)/2

Let the random variable X follows uniform distribution with parameters (a, b), then the variance of the uniform distribution is,

σ²=V(X)=(b−a)²/12

we have, a = 7.5 , b = 19

a) mean of the uniform distribution( μ) = 19 +(7.5)²

= 75.25

variance of the uniform distribution = (19-7.5)²/12

= (12.5)²/12 = 13.02

b) The cumulative distribution function of the random variable X is,

Fₓ(x) = P(X<x)

=> Fₓ(x) = ₇.₅∫ˣ f(x) dx

=> Fₓ(x) = ₇.₅∫ˣ(1/12.5)dx

=> Fₓ(x) = 1/12.5 ₇.₅[x]ˣ = 1/12.5(x - 7.5)

=>Fₓ(x) = (x - 7.5)/12.5

Therefore, the cumulative distribution function of the depth is,

Fₓ(x) = (x - 7.5)/12.5 , 7.5<x<19 or 1 if X>19 or zero if X<7.5

Hence, we get the mean of distribution is 75.5 and variance is 13.02.

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The instantaneous acceleration at any time t is given by 10t. The limit definition of a derivative is true because it allows us to find the instantaneous rate of change of a function at a specific point.

To use the limit definition of a derivative to calculate instantaneous acceleration, we need to find the derivative of the velocity function with respect to time. The derivative of velocity gives us acceleration.

The limit definition of a derivative is given by:

f'(x) = lim (h→0) [f(x+h) - f(x)] / h

To calculate instantaneous acceleration, we substitute the velocity function, v(t), into the limit definition. Let's say v(t) = 5t^2.

Using the limit definition, we have:

a(t) = lim (h→0) [v(t+h) - v(t)] / h

Substituting v(t) = 5t^2, we get:

a(t) = lim (h→0) [5(t+h)^2 - 5t^2] / h

Expanding and simplifying:

a(t) = lim (h→0) [10th + 5h^2] / h

Now, we can cancel out the h term:

a(t) = lim (h→0) 10t + 5h

Taking the limit as h approaches 0, we get:

a(t) = 10t

Therefore, the instantaneous acceleration at any time t is given by 10t.

The limit definition of a derivative is true because it allows us to find the instantaneous rate of change of a function at a specific point. By taking the limit as the change in input approaches zero, we are able to approximate the exact rate of change at that point. This concept is fundamental to calculus and is used in various applications such as physics, engineering, and economics.

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