47. If the sum of 2r and 2r + 3 is less than
11, which of the following is a possible
value of r?
(A) 11
(B) 10
(C) 3
(D) 2
(E) 1

[tex]\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=1349 \end{cases}\implies 1349=\cfrac{4\pi r^3}{3}\implies 4047=4\pi r^3 \\\\\\ \cfrac{4047}{4\pi }=r^3\implies \sqrt[3]{\cfrac{4047}{4\pi }}=r\implies 6.85\approx r[/tex]

Answer:

C. (-5, 3)

Step-by-step explanation:

Point C is currently (5,3).

If it is reflected over the y-axis, that means while the y-coordinate stays the same, the x- coordinate is negative of what is was before.

C is the only answer that keeps the y-coordinate constant, so just by looking at that, we can say that the answer is C.

Answer:

C

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Hence

C(5, 3 ) → C'(- 5, 3 ) → C

Answer:

B. The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

Let us first find the solution to the system of equations.

x+y= 24

3x+5y= 100

We use substitution method.

x=24-y

Replacing the value of x in the second equation.

3(24-y)+5y=100

Then solve for y.

72-3y+5y=100

2y=100-72

2y=28

y=14

To find x let us replace the value of y in x=24-y

x=24-14

x=10

This means that the test has 14 five-point questions and 10 three point questions.

Answer:

46^6 x 59^6

Step-by-step explanation:

For properties (axb)^y has the equivalent expression of a^y x b^y

Then, (46x59)^6 can be written as 46^6  x 59^6

Answer: [tex]46^6* 59^6[/tex]

Step-by-step explanation:

Given the expression [tex](46* 59)^6[/tex], in order to find an equivalent expression using the same bases, you need to remember the following:

[tex](a*b)^n=a^n*b^n[/tex]

So, you can observe that, in this case:

[tex]a=46\\b=59\\n=6[/tex]

Therefore, substituting values, you get the following equivalent expression:

[tex](46* 59)^6=46^6* 59^6[/tex]

Answer:

To be precise, I think it's a pattern question, where you have to add 4 to each number. I'm not very sure though.

Answer:

d. The slope is −0.3. Starting at 3.9, the GPA will decrease by 0.3 for every text sent in class.​

Step-by-step explanation:

You can write the equation is the slope intercept form of y=mx+c

where m is the slope and c in the y-axis intercept

write the equation as;

y=mx+c

y= -0.3x+3.9

Here , you have a negative slope which means the GPA will reduce by 0.3 for every text sent in class.

See attached graph to visualize the y-intercept point

Answer:

The correct option is d.

Step-by-step explanation:

The given equation of best fit line is

[tex]y=3.9-0.3x[/tex]              .... (1)

The slope intercept form of a line is

[tex]y=mx+b[/tex]               .... (2)

where, m is slope and b is y-intercept or initial value.

From (1) and (2), we get

[tex]m=-0.3[/tex]

[tex]b=3.9[/tex]

It means the slope is −0.3. Starting at 3.9, the GPA will decrease by 0.3 for every text sent in class.​

Therefore the correct option is d.

you can do it ans is above

Answer:

The answer is A - symmetry.

None of the other options really have bearing in relation to the question.

Hope this helps.

Step-by-step explanation:

The given image shows the symmetry of a shape. Both the divided sides are equal halves of the shape. Therefore, option C, symmetry is correct option.

Symmetry is a property of a figure that describes how it looks the same after being transformed in a certain way. In other words, a figure is said to have symmetry if it can be divided into parts that are mirror images or identical to each other.

There are different types of symmetry, such as :reflection symmetry, rotational symmetry, translational symmetry etc.

Symmetry is an important concept in many areas of mathematics and science, such as geometry, crystallography, physics, and chemistry. It is also a fundamental aspect of beauty and aesthetics in art, architecture, and design.

The given figure can be divided into two equal halves. Hence, the two sides are in symmetry. Thus, option C is correct.

Find more on symmetry :

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Your complete question is attached below:

Answer:

[tex]\large\boxed{7(3x-2)+4(x+5)=25x+6}[/tex]

Step-by-step explanation:

[tex]7(3x-2)+4(x+5)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(7)(3x)+(7)(-2)+(4)(x)+(4)(5)\\\\=21x-14+4x+20\qquad\text{combine like terms}\\\\=(21x+4x)+(-14+20)\\\\=25x+6[/tex]

Answer:

[tex]\Huge \boxed{25x+6}[/tex]

Step-by-step explanation:

[tex]\large \textnormal{Distributive property}[/tex], [tex]\large \textnormal{A(B+C)=AB+AC}[/tex].

[tex]\displaystyle 7(3x-2)=21x-14[/tex]

[tex]\displaystyle 21x-14+4(x+5)[/tex]

[tex]\displaystyle 4(x+5)=4x,5\times 4=20, 4x+20[/tex]

[tex]\Large\textnormal{Solve to find the answer.}[/tex]

[tex]\displaystyle 21x-14+4x+20=25x+6[/tex]

[tex]\Large \textnormal{Correct answer is \boxed{25x+6}.}[/tex]

Answer:

1-4i

Step-by-step explanation:

[tex]i=\sqrt{-1}[/tex]

We have [tex]1-\sqrt{-16}[/tex].

Let's look at the [tex]\sqrt{-16}[/tex] part.

Since it has a negative inside the square root, it is imaginary.  This is our imaginary unit [tex]i=\sqrt{-1}[/tex].

So [tex]\sqrt{-16}[/tex]

[tex]=\sqrt{16} i [/tex]

[tex]=4i[/tex]

So [tex]1-\sqrt{-16}=1-4i[/tex]

Answer:

[tex]\large\boxed{x\leq0}[/tex]

Step-by-step explanation:

x ≤ 0 - the region below the line x = 0 (x axis)

x ≥ 0 - the region above the line x = 0 (x axis)

y ≤ 0 - the region on the left of the line y = 0 (y axis)

y ≥ 0 - the region on the right side of the line y = 0 (y axis)

all region with lines (axes)

We have the region below the x axis (x = 0).

Answer:

It increases by 2 degrees every day

Step-by-step explanation:

51-47=4 4/2 equal 2

Answer:

See below.

Step-by-step explanation:

The independent variable is the number of hours worked and the dependent variable is the  weekly pay.

The domain is  30 to 35.

The range is $360 to $420.

Answer:

A. 40.076

Step-by-step explanation:

Because B is forty and seventy six hundredths. C is forty-seven and six thousandths. D is forty-seven and six hundredths.

Seventy-six thousandths is written as .076, making the final answer 40.076.

The decimal equivalent to forty and seventy six thousandths is 40.076. This is because seventy-six is in the thousandths place after the decimal point.

The decimal equivalent to forty and seventy six thousandths is 40.076. To write this out, you place the decimal point after the whole number forty, then you need to ensure that seventy-six is in the thousandths place. When writing decimal numbers, the first place to the right of the decimal is the tenths place, the second is the hundredths place, and the third is the thousandths place. Therefore, seventy-six thousandths is written as .076, making the final answer 40.076.

Answer:

-3

Step-by-step explanation:

To find the slope of a line given two points, we use:

[tex]\frac{y_2-y_1}{x_2-x_1} \text{ when the points } (x_1,y_1) \text{ and } (x_2,y_2) \text{ are on the line }[/tex].

Or you could line up the points vertically and subtract the points vertically, then put 2nd difference over 1st difference.

That looks like this:

(  2  ,  -12)

-( -5  ,  9   )

----------------

  7         -21

So the slope is -21/7 which gives you -3.

Answer:

Similar but not congruent

Step-by-step explanation:

For them to be congruent, they have to have same everything but not necessarily the same orientation.  They are not congruent because their corresponding sides aren't the same measurement.

You can tell if two triangles are similar if each pair of corresponding are congruent.

They will also have corresponding sides are proportional.

That is 50/40=60/48=40/32 in this case? Well does it?  It does, because each one of them is equal to 1.25.

Answer:

The correct answer is second option

They are similar, but not congruent

Step-by-step explanation:

From the given diagram we can see two triangles.

ΔUVW and ΔXYZ

m<X = m<U,

m<Y = m<V and

m<Z = m<W

Therefore two triangles are similar

The sides of these two triangles are not congruent, therefore these two triangles are not congruent.

The correct answer is second option

They are similar, but not congruent

Answer:

628 n.2 is the correct answer

Answer:

B

Step-by-step explanation:

recall that point-slope form of a linear equation is expressed as follows

y - y1 = m (x - x1)

where m = slope and (x1, y1) is the coordinate of any point on the line

so, here we have m = (3/5), x1 = 4 and y1 = -6

substitute these into the formula

y - (-6) = (3/5) (x - 4)

y + 6 = (3/5) (x - 4)----> answer

Answer:

[tex]\boxed{\text{B. }y + 6 =\dfrac{3}{5}(x - 4)}[/tex]

Step-by-step explanation:

The point-slope formula for a straight line is

[tex]y - y_{1} = m(x - x_{1})[/tex]

x₁ = 4; y₁ = -6; m = ⅗  

Substitute the values

[tex]\begin{array}{rcl}y - (-6) & = & \dfrac{3}{5}(x - 4)\\\\y + 6 & = & \dfrac{3}{5}(x - 4)\\\\\end{array}\\\text{The equation for the line is $\boxed{\mathbf{y + 6 =\dfrac{3}{5}(x - 4)}}$}[/tex]

The figure shows the graph of the equation with slope ⅗ passing through (4,-6).

Answer:

2

Step-by-step explanation:

1/4+1/4=1/2

Answer:

13

Step-by-step explanation:

If you look at where $5 crosses the line of best fit, you see it between 12 and 14 ounces. The answer is 13.

Answer:

13 oz

Step-by-step explanation:

The blue line here is the trend line of the function between cost and size.

The trend line is the linear equation approximation of the function

So, for predicting the size when $5 is paid we need to take the corresponding x axis value and the corresponding y axis value on the trend line.

Hence, the Size of frozen yogurt is between 12 and 14 oz which means the size is 13 oz.

Answer:

7z^3+6z^2-27z+22

Step-by-step explanation:

The given question is of subtraction:

So,

(7z^3+42z^2-15z+1)- (36z^2+12z-21)​

=7z^3+42z^2-15z+1-36z^2-12z+21

Combining alike terms to simplify

=​7z^3+42z^2-36z^2-15z-12z+1+21

=7z^3+6z^2-27z+22

So the answer in simplified form is:

7z^3+6z^2-27z+22 ..

Answer:

7z³ + 6z² - 27z + 22

Step-by-step explanation:

It is given an expression in variable z,

(7z³ + 42z²  - 15z + 1) - (36z² + 12z - 21)​

To find the simplified form

(7z³ + 42z²  - 15z + 1) - (36z² + 12z - 21)​

 = (7z³ + 42z²  - 15z + 1 - 36z² - 12z +  21)​

 = 7z³ + 42z² - 36z² - 15z -12z + 1 + 21

 = 7z³ + 6z² - 27z + 22

Therefore the simplified expression is = 7z³ + 6z² - 27z + 22

Answer:

3[tex]\sqrt5}[/tex]

The square root of 45 can be simplified by removing perfect square factors. In this case, the number 9 is a perfect square factor of 45, resulting in the simplification √45 to 3√5.

To simplify the square root of 45 by removing perfect squares, we first need to identify the factors of 45 that are perfect squares. In this case, the number 9 is a factor of 45 and is a perfect square. Therefore, we can simplify √45 to √9*5 or 3√5. Simplifying square roots is a basic principle of Mathematics one should know as it is often applied in various middle school, high school, and even college math problems.

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Answer:

Step-by-step explanation:

It never occurred to me that the closed circle meant multiplication. The most common symbol for multiplication here is *. If that is what is meant (closed circle = multiplication) then my answer is wrong.

f(x) = 3x + 1

g(x) = x^2 - 6

f(x)(g(x)) = (3x + 1)(x^2 - 6)

f(x)(g(x)) =  3x^3 - 18x + x^2 + 6 or more properly

f(x)(g(x)) = 3x^3 + x^2 - 18x - 6

[tex](f\cdot g)(x)=(3x+1)(x^2-6)=3x^3-18x+x^2-6=3x^3+x^2-18x-6[/tex]

Answer: 5

Step-by-step explanation: First, add all of the given numbers.

5+7+4+4+5+4+6=35

Next, divide 35 by the number of given numbers, which is 7.

35/7 = 5

The mean is 5.

Answer:

the answer is 0.5 lol

k/2+1/2=3

Move +1/2 to the other side. Sign changes from +1/2 to -1/2

k/2+1/2-1/2=3-1/2

k/2=3-1/2

Find the common denominator for 3 and -1/2.

Common denominator is 2

k/2=3(2)-1/2

k/2= 6/2-1/2

k/2=5/2

Multiply k/2 with 2. Multiply 2 with 5/2

k/2 (2/1)=2(5/2)

Cross out 2 and 2. Divide by 2. Cross out 2 and 2 for 5/2(2). Divide by 2

k=5

Answer:

B. Many-to-many

Step-by-step explanation:

We have the following ordered pairs:

First let's define the following concepts:

From all the ordered pairs, we find that the points (1,2) and (1,3) have the same x-value for diferent y-values. Also we find that the points (1,2) and (-2, 2) have different x-values for the same y-value.

Therefore, the ordered pairs DO NOT belong to a function and can be considered MANY-TO MANY.

The given relation is a many-to-one relationship.

The given relation {(1,2), (-2,3), (1,3), (-2,2)} is an example of a many-to-one relationship. In a many-to-one relation, multiple elements in the domain map to a single element in the range. Each x-value has a unique y-value.

Answer:

see explanation

Step-by-step explanation:

Note that

(f + g)(x) = f(x) + g(x) and

(f - g)(x) = f(x) - g(x)

5

f(x) + g(x)

= 5x² + 3 + x² - 7 = 6x² - 4

6

f(x) - g(x) = 5x² + 3 - (x² - 7) ← distribute parenthesis

              = 5x² + 3 - x² +7 ← collect like terms

              = 4x² + 10

7

f(x) + g(x) = [tex]4^{x}[/tex] + 3x + 2x - 5 =  [tex]4^{x}[/tex] + 5x - 5