Find the least integer greater than each number. Do not use a calculator.
log√₇ √50

Answer:

3

Step-by-step explanation:

[tex]\mathrm{a = \sqrt{A} = \sqrt{9} = 3}[/tex]

The vertex F(−2, 4) in the dilated image has coordinates of (−6, 12) option (B) F' is correct.

The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

It is given that:

The coordinates are:

Rectangle EFGH has vertices E(−3, 4), F(−2, 4), G(−2, −2), and H(−3, −2).

After applying dilation with a scale factor of 3:

E(−3, 4) → E'(-3x3, 4x3) = E'(-9, 12)

Similarly,

F(−2, 4) → F'(-6, 12)

G(−2, −2) → G'(-6, -6)

H(−3, −2) → H'(-9, -6)

Thus, the vertex F(−2, 4) in the dilated image has coordinates of (−6, 12) option (B) F' is correct.

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Answer:

In this particular type of question we need to understand that perfect squares are the squares of the integers numbers and perfect square always end in 0,1,4,5,6,9.A perfect square number never ends with 2,3,7 or 8 .This is the first observation you will make to check if the number is a perfect square or not.

Step-by-step explanation:

The equation that suits the model is given as  I = Prt and the interest the friend will have after her college graduation in 4 years will be $240

The formula to be used to is given as :

              I = Prt      (1)

where, I = simple interest

            P = principal amount or amount initially deposited.

            r = annual interest rate

            t = time

According to the question we have been given that

        P = $1000

        r = 0.06

        t = 4 years

Putting the required values in equation (1) we get

       I = 1000*0.06*4

       I = 240

hence the equation that suits the model is given as

           I = Prt

and the interest the friend will have after her college graduation in 4 years will be $240

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The irrational number in this data-set is given by the square root of 3.

In this problem, we have that:

Hence:

The irrational number in this data-set is given by the square root of 3.

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The angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle

The angle measures are given as:

35° 91° 65° 28°

As a general rule:

Angles that are less than 90 degrees are acute angles

This means that

The angles 35° 65° and 28° are acute angles

Also, we have

Angles that are between 90 degrees and 180 degrees are obtuse angles

This means that

The angle 91° is an obtuse angle

Hence, the angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle

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Complete question

What angle measure is this? 35° 91° 65° 28°

acute, right, obtuse, straight, or reflex

16504 divided by 55 equals

300+ 4/55.

First we know about -

Divisor: The number by which the dividend is divided.

Quotient: The result of division.

Remainder: The amount that is left over after division.

Rules for the Division -

1. Take the first digits of the dividend, the same number of digits that the divisor has. If the number taken from the dividend is smaller than the divisor, you need to take the next digit of the dividend.

2. Divide the first number of the dividend (or the two first numbers if the previous step took another digit) by the first digit of the divisor. Write the result of this division in the space of the quotient.

3. Multiply the digit of the quotient by the divisor, write the result beneath the dividend and subtract it. If you cannot, because the dividend is smaller, you will have to choose a smaller number in the quotient until it can subtract.

4. After subtraction, drop the next digit of the dividend and repeat from step 2 until there are no more remaining numbers in the dividend.

        0 0 3 0 0

5 5 ) 1 6 5 0 4

 − 0        

   1 6      

 −   0      

   1 6 5    

 − 1 6 5    

       0 0  

     −   0  

         0 4

       −   0

           4

16504 divided by 55 equals

300 with a remainder of 4

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The multiplication of the expression ( 3 + √2)( 4 +√2 ) is 14 + 7√2.

Multiplication in elementary algebra is the process of figuring out the outcome of multiplying a number by a number b. The product of a and b is the outcome of multiplication, and each of the integers a and b is referred to as a factor of the product ab.

Consider the expression,

y = ( 3 + √2)( 4 +√2 )

Using the distributive property,

a( b + c ) = ab + ac

y = ( 3 + √2)( 4 +√2 )

y = 3( 4 + √2 ) + √2( 4 + √2 )

y = 3 × 4 + 3 × √2 + √2 × 4 + ( √2 )²

y = 12 + 3√2 + 4√2 + 2

y = 14 + √2( 3 + 4 )

y = 14 + 7√2

The value of the expression ( 3 + √2)( 4 +√2 ) when simplified is 14 + 7√2.

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The expression which models the maximum number of days in which she can rent the car is 20x + 10 ≤ 80

The maximum amount to spend = 80

Fixed charge per day $20

Charge per mile = $0.10

The inequality which represents the number of days Can be expressed thus :

(Charge per day × number of days) + (charge per mile × number of miles) ≤ 80

20x + 0.10 × 100 ≤ 300

20x + 10 ≤ 300

Hence, the required inequality expression is 20x + 10 ≤ 80.

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Answer:

5-1, known colloquially as four, 4, or 1+3.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

x=1 & y=0

Step-by-step explanation:

Answer: 20/12

Step-by-step explanation:

Answer:

tan A +tanb

Step-by-step explanation:

1-tan a tan b

i think so

Answer:

25

Step-by-step explanation:

Arrange numbers to ascending order :

5,8,10,20,25,30,35,40,45

Cross of the smallest and biggest number until you left with one in the middle

15 is the greatest number of people they can be without having any leftovers

Given data

45 hotdogs in 30 individual bags of chips

Given data

45 hotdogs in 30 individual bags of chips

The greatest common factor of 45 and 30 is 15

using ratio

45 : 30

3 : 2

This means that one person will receive 3 hotdogs in 2 bags. Also 15 people will get the equal amount without left overs

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complete question

Amari and Ethan planned an end of season soccer party to purchase 45 hotdogs in 30 individual bags of chips which person will receive the same amount of food what is the greatest number of people they can be without having any leftovers

The two triangles are similar triangles and the graph of the triangles are attached

The coordinates of the triangle are given as

A (0, 3), B (3, 3) and C (3, -1)

So, we enter the above coordinates in a graphing calculator

See attachment for the graph of the triangle

Multiply each coordinate by a scale factor of 3 (k=3).

Here, we have

A' 3 * (0, 3), B' 3 * (3, 3) and C' 3 * (3, -1)

This gives

A' (0, 9), B' (9, 9) and C' (9, -3)

Next, we enter the above coordinates in a graphing calculator

See attachment for the graph of the triangle

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Based on the number of customers who owned parrots, dogs and parrots, and dogs, the number who owned either a dog or a parrot were 55 customers

The number of people who owned a parrot was 42. 33 people also owned a dog. Some of these people owned both a dog and a parrot and they numbered 20.

To find the number of customers who owned either a dog or a parrot, the formula is:
= Number of customers who owned a dog + Number of customers who owned a parrot - Number of customers who owned both a dog and parrot

= 33 + 42 - 20

= 75 - 20

= 55 customers

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We get that the relation  { ( 2 , 1) , ( - 4 , 5 ) , ( 1 , 7 ) , ( 2 , - 3 ) , ( - 1, 2 ) } is a function.

We are given a relation as:

{ ( 2 , 1 ) , ( - 4 , 5 ) , ( 1 , 7 ) , ( 2 , - 3 ) , ( - 1, 2 ) }

We need to find that whether it is a function or not.

A relation is a set that shows a relationship between two values. A function  is from a set X to a set Y assigns to each element of X exactly one element of Y.

Here, we can see that it is a function as one value of x only has one image in the set y.

Therefore, we get that the relation  { ( 2 , 1) , ( - 4 , 5 ) , ( 1 , 7 ) , ( 2 , - 3 ) , ( - 1, 2 ) } is a function.

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[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ 5}(x-\stackrel{x_1}{7})[/tex]

a) The explosion does violate the town regulation

b) The two physical quantities are the I(intensity of the sound) and

       [tex]I_{o}[/tex] (detectable intensity)

The values that we have been given are

        L = loudness of the sound = 10 log(I/[tex]I_{o}[/tex])

        I = intensity of the sound in watts per square meter = [tex]1.65 * 10^{2} W/m^{2}[/tex]

        [tex]I_{o}[/tex] = intensity of barely audible sound = [tex]10^{-12} W/m^{2}[/tex]

Putting the required value in the equation of the loudness we get

      a)       L = [tex]10 log(\frac{1.65*10^{2} }{10^{-12} } )\\[/tex]

             L = 10 * 14.217 dB = 142.17 dB

And according to the town regulation the loudness of the construction work should not exceed 100dB.

Thus the explosion is  in violation of the town regulation as it exceeds 100dB.

b)  the two physical value we have to calculate are I which is intensity of the sound in watts per square meter and [tex]I_{o}[/tex] which is intensity of barely audible sound. The respective values are

        I = intensity of the sound in watts per square meter = [tex]1.65 * 10^{2} W/m^{2}[/tex]

        [tex]I_{o}[/tex] = intensity of barely audible sound = [tex]10^{-12} W/m^{2}[/tex]

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The students chose pizza as their favorite school lunch based upon the data will be 130 students.

Let the assumed fraction for those who choose pizza be 3/10.

From the information, 400 students were surveyed about their favorite school lunch.

Therefore, the students chose pizza as their favorite school lunch based upon the data will be:

= Fraction for pizza × Total students

= 3/10 × 400

= 120 students

Note that an overview was given as the graph wasn't found.

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The total cost of the laptop, including the sales tax, is $974.57.

The total cost of the laptop is the addition of the listed price and the sales tax (dollars).

The listed price refers to the retailer's (seller's) price before the addition of the sales tax.

After adding the sales tax to the listed price, the total cost is obtained.

Therefore, sales tax, which is a proportional tax, increases the cost of goods and services to consumers.

Listed price before tax = $887.99

Sales tax rate = 9.75%

Total cost after tax = $974.57 ($887.99 x 1.0975)

Thus, the total cost of the laptop after factoring in the sales tax is $974.57.

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Given that there are 6 circles and 3 squares, the simplest ratio of squares to circles is 1 : 2 or 1 to 2 or 1/2.

Ratio is the relationship between two quantities, normally expressed as the quotient of one divided by the other.

It can be expressed in different ways:

1) Use the ":" to separate the values : a : b

2) Use the word "to" : a to b

3) Write it in fraction: a / b

If there are 6 circles and 3 squares. then the ratio of squares to circles can be written as:

3 : 6 or 3 to 6 or 3/6

To simplify the ratio, divide both numbers in the ratio by the same number until they cannot be divided any more.

Divide both number by 3.

3 : 6    =    1 : 2

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Answer:

6.  Slope = 2

7.  y-intercept = 5

8.  Equation:  y = 2x + 5

Step-by-step explanation:

To find the slope of a line, define two points on the line:

Substitute these values into the slope formula and solve for m:

[tex]\implies \textsf{slope}\:(m)=\dfrac{7-5}{1-0}= \dfrac{2}{1}=2[/tex]

Therefore, the slope of the graph is [tex]\boxed{2}[/tex].

The y-intercept is the y-value of the point at which the line crosses the y-axis.

From inspection of the given graph, the y-intercept is [tex]\boxed{5}[/tex].

Slope-intercept form of a linear equation:

[tex]y=mx+b[/tex]

Where:

Substitute the found slope and found y-intercept into the formula to create an equation for the line:

[tex]\boxed{y=2x+5}[/tex]

ln (1) = 0, by properties of logarithms.

Now,

ln (1) = [tex]log_e(1)[/tex]

By properties of logarithms, we get that: [tex]log_b(1) = 0[/tex], for any value of b.

Hence, ln (1) = 0, by properties of logarithms.

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[Mathematical Situation]

Solve for  [tex]b_1[/tex];  [tex]A=\frac{1}{2} (b_{1} + b_2)h[/tex]

Solution:

[tex]b_1=\frac{2a}{h}-b_2[/tex]

Hope this helps!