42 base X + 53 base X = 125 base X
​

Answer:

2

Step-by-step explanation:

The rate at which the height increases is 2 inches per hour. That is the slope of the equation.

18 + 2t = 24

The coefficient of t is 2.

Answer:

2

Step-by-step explanation:

We are given that a cylinder container has a  height of 24 inches.

Currently, the container filled with water to a height=18 inches

If the height of the water in the container increase by 2 inches per hour

We are given that an equation which can be used to find the t in number of hours it would take to fill the container

We have to find the coefficient of t

In one hour, height increase=2 inches

In t hours, height increase=2t

According to question

[tex]18+2t=24[/tex]

Therefore, the coefficient of t is 2.

Hence, the number should be the coefficient of t=2

Answer:

1.5 hours is the correct answer !

Step-by-step explanation:

Speed is the rate of distance over time.

The equations are:

The given parameters are:

[tex]\mathbf{(t_1,d_1) = (1:30pm,35miles)}[/tex]

[tex]\mathbf{(t_2,d_2) = (4:30pm,230miles)}[/tex]

So, the time difference is:

[tex]\mathbf{t=4:30pm - 1:30pm}[/tex]

[tex]\mathbf{t=3\ hours}[/tex]

The distance traveled is:

[tex]\mathbf{d = 230miles - 35miles}[/tex]

[tex]\mathbf{d = 195miles}[/tex]

Speed is calculated as:

[tex]\mathbf{Speed = \frac{Distance}{Time}}[/tex]

So, we have:

[tex]\mathbf{Speed = \frac{195\ miles}{3\ hours}}[/tex]

Multiply both sides by 3 hours

[tex]\mathbf{3\ hours \times Speed = 195\ miles}[/tex]

Divide both sides by Speed

[tex]\mathbf{3\ hours = \frac{195\ miles}{Speed}}[/tex]

Hence, the equations are:

[tex]\mathbf{Speed = \frac{195\ miles}{3\ hours}}[/tex]

[tex]\mathbf{3\ hours \times Speed = 195\ miles}[/tex]

[tex]\mathbf{3\ hours = \frac{195\ miles}{Speed}}[/tex]

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Answer:

$29.99

Step-by-step explanation:

This is a division problem.

$209.93/7 = $29.99

Answer: $29.99

Answer:

$29.99

Step-by-step explanation:

$209.93 divided by 7 is $29.99

Answer:

[tex]x=-243[/tex]

Step-by-step explanation:

The equation is

[tex]-3^{-5}=\frac{1}{x}[/tex]

Solve for x

we know that

[tex]-3^{-5}=-\frac{1}{3^{5}}=-\frac{1}{243}[/tex]

substitute

[tex]-\frac{1}{243}=\frac{1}{x}[/tex]

so

[tex]x=-243[/tex]

Answer:

-5

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

=(1/2)^-2

=(2/1)^2

=2^2

=4

Answer: Another angle would be 65 and two other angles would be 115.

Step-by-step explanation: Attachment shown.

Answer:

-3 3/4, -3, 3 1/10, 3 1/3

Step-by-step explanation:

in negative numbers bigger number is always smaller in value and in fractions bigger numbers yet again if in a small portion is a smaller value

For this case we must find the product of the following expression:

[tex](-3x ^ 5y ^ 2) * (9x ^ 3y ^ 8)[/tex]

Then, by definition of powers of the same base we have to put the same base and add the exponents:

[tex](-3 * 9) x^{5 + 3} (1 * 1)y^{8 + 2} =[/tex]

[tex]-27x ^ 8*1y ^ {10}[/tex]

ANswer:

[tex]-27x ^ 8y ^ {10}[/tex]

The domain is the input value for x, which can be any real number.

The range would be the output value, which in this equation would be any number greater than 0.

The answer is B.

Answer:

ITS B

Step-by-step explanation:

Hope this helps

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}2x+3y=17&\text{multiply both sides by (-2)}\\3x+6y=30\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-4x-6y=-34\\3x+6y=30\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-x=-4\qquad\text{change the signs}\\.\qquad x=4\\\\\text{put the value of x to the first equation:}\\\\2(4)+3y=17\\8+3y=17\qquad\text{subtract 8 from both sides}\\3y=9\qquad\text{divide both sides by 3}\\y=3[/tex]

Answer:

option a

Step-by-step explanation:

we know  the equation of a circle is:

(x-x1)^2 +(y-y2)^2= r^2

center= (x1,y2)

radius =r

in this case we have:

center= (5,-2)

r=3

so we have:

(x-5)^2 +(y-(-2))^2=9

finally we have:

(x-5)^2 +(y+2)^2=9

Answer:

A

Step-by-step explanation:

If you choose any number 'k', then the result of subtracting 5 will be '5 less than k'.

Example: If k=6, k-5 is 1.

1 is 5 less than k=6.

The expression is also written as k less than 5. Then the correct option is C.

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given as (k – 5).

The expression is also written as k less than 5.

Then the correct option is C.

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Answer:

The measure of angle JKM is 108°

Step-by-step explanation:

step 1

Find the value of x

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

∠M+∠L+∠MKL=180°

substitute the given values

4x+5x+6x=180°

15x=180°

x=12°

step 2

Find the measure of angle JKM

we know that

Angles MKL and JKM are supplementary angles

so

∠MKL+∠JKM=180°

6x+∠JKM=180°

substitute the value of x

6(12)+∠JKM=180°

∠JKM=180°-72°=108°

Answer:

108

Step-by-step explanation:

We know sum of all the 3 angles in a triangle is equal to 180. We can set up an equation for the triangle KML using the information given:

[tex]4x+5x+6x=180\\15x=180\\x=\frac{180}{15}=12[/tex]

So measure of Angle MKL is 6x, or 6(12) = 72

Now, we know Angle JKM + Angle MKL = 180 (straight line). Thus,

Angle JKM + 72 = 180

Angle JKM = 180 - 72 = 108

ANSWER

[tex] \log_{4}(3x + 4) = 2[/tex]

EXPLANATION

Consider the equation:

[tex] \log_{4}(3x + 4) = 2[/tex]

When we rewrite this logarithmic equation in the exponential form, we obtain:

[tex]3x + 4= {4}^{2} [/tex]

Note that to write a logarithmic equation in exponential form, the base of the logarithm is still the base in the exponential form.

We now simplify the RHS.

[tex]3x + 4 = 16[/tex]

Group like terms

[tex]3x = 16 - 4[/tex]

This implies that

[tex]3x = 12[/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{12}{3} [/tex]

Simplify to get;

[tex]x = 4[/tex]

Hence the equation that has x=4 as a solution is

[tex] \log_{4}(3x + 4) = 2[/tex]

Another way to do this is to substitute x=4 into each equation. The equation that is satisfied is the correct choice.

Answer:

(A)

Step-by-step explanation:

on edg 2021

Step-by-step explanation:

2x + 2y = 184 ---- eqn 1

y = 184 - 2x / 2

y = 92 - x ---- eqn 2

They're not equivalent.

[tex]|x|[/tex] (vertical bars) represents the absolute value of x. How it works is that it turns negative numbers positive but leaves 0 and positive numbers alone (hence it gets a number's distance from 0 on the number line).

[tex][x][/tex] (square brackets) usually represents the floor function, which returns the largest integer that is less than or equal to x. (The floor of x can also be written as [tex]\lfloor x \rfloor[/tex] --- it depends on what your textbook/source says).

To solve [tex]|x| - 3 = 7[/tex], you first transform it into the equivalent equation [tex]|x| = 10[/tex]. Then by definition of absolute value, there are only two solutions for the first equation: x = 10 or x = -10.

[x] = 10 has infinitely many solutions. For example, the floor of 10 is 10, so [tex][10] = 10[/tex], thus a solution for the second equation is x = 10

The floor of 10.1 is 10, so [tex][10.1] = 10[/tex], thus another solution for the second equation is x = 10.1.

The two equations do not have the same solution set (as x = 10.1 does not solve |x| - 3 = 7 but solves [x] = 10), so they're not equivalent.

Answer:

44cm

Step-by-step explanation:

Formula for circumference, C = 2πr

where r is the radius

r = C / 2π

= [tex]\frac{88\pi }{2\pi }[/tex]

=44 cm

Answer:

approximately 44 cm

Step-by-step explanation:

The formula for circumference of a circle of radius r is C = 2π·r.  Solving for r, we get:

         C

r = ------------

         2π

and in this instance, r = 88π cm   /   2π, or 44 cm

Answer:

3. 32:4

4. three times

Step-by-step explanations:

Answer:

There are no extraneous solutions

Reasoning:

An extraneous solution is a solution that isn't valid, it might be imaginary like the square root of a negative number.

first we want to isolate z:

1+sqrt(z)=sqrt(z+5)

^2 all      ^2 all

(1+sqrt(z))(1+sqrt(z))=z+5

expand

1+2sqrt(z)+z=z+5

-1              -z  -z -1

2sqrt(z)=4

/2           /2

sqrt(z)=2

^2 all    ^2 all

z=4

Since there is one solution and it is a real number, there are no extraneous solutions.

[tex]D:z\geq 0\wedge z+5\geq 0\\D:z\geq 0\wedge z\geq -5\\D:z\geq0\\\\1+\sqrt z=\sqrt{z+5}\\1+2\sqrt z+z=z+5\\2\sqrt z=4\\\sqrt z=2\\z=4[/tex]

[tex]4\in D[/tex] so there are no extraneous solutions.

Answer:

Step-by-step explanation:

Use Angle Bisector theorem (look at the picture).

We have the equation:

[tex]\dfrac{3}{x}=\dfrac{x-4}{4}[/tex]        cross multiply

[tex]x(x-4)=(3)(4)[/tex]          use the distributive property

[tex]x^2-4x=12[/tex]           subtract 12 from both sides

[tex]x^2-4x-12=0\\\\x^2+2x-6x-12=0\\\\x(x+2)-6(x+2)=0\\\\(x+2)(x-6)=0\iff x+2=0\ \vee\ x-6=0[/tex]

[tex]x+2=0[/tex]        subtract 2 from both sides

[tex]x=-2<0[/tex]

[tex]x-6=0[/tex]       add 6 to both sides

[tex]x=6[/tex]

Answer:

(7x + 3y)(7x + 3y)  or we could write it as (7x + 3y)^2.

Step-by-step explanation:

49x 2 + 42xy + 9y 2

The square root of 49xy^2 = 7x and the square root of 9y^2 = 3y.

Now  7x *3y = 21xy  and 2 * 21xy  = 42xy so the factors are:

(7x + 3y)(7x + 3y).

49x 2 + 42xy + 9y 2 is a perfect square trinomial.

Answer:

[tex](7x+3y)(7x+3y)[/tex]

Step-by-step explanation:

We are given that an expression

[tex]49x^2+42xy+9y^2[/tex]

We have to find the factor of given expression

[tex](7x)^2+2\times (7x)\times 3+(3y)^2[/tex]

Identity:[tex](a+b)^2=a^2+2ab+b^2[/tex]

Using the identity,then we get

[tex](7x+3y)^2[/tex]

[tex](7x+3y)(7x+3y)[/tex]

Hence, the factor of given expression is given by

[tex](7x+3y)(7x+3y)[/tex]

Answer:

(-∞, ∞).

Step-by-step explanation:

This function can have any real value.

Range = (-∞, ∞).

The range of f(x) = 3/4x – 4 is [tex]\( (-\infty, \infty) \)[/tex].

To find the range of the function [tex]\( f(x) = \frac{3}{4}x - 4 \)[/tex], we need to consider all possible output values of the function as x varies.

The function x is a linear function with a slope of [tex]\( \frac{3}{4} \)[/tex], which means it increases or decreases steadily as x increases or decreases, respectively. Since there are no restrictions on the domain of the function (i.e., x can take any real value), the range of the function is also unrestricted.

To find the range, we can examine the behavior of the function as x approaches positive infinity and negative infinity:

1. As x approaches positive infinity, [tex]\( f(x) \)[/tex] also approaches positive infinity.

2. As x approaches negative infinity, [tex]\( f(x) \)[/tex] also approaches negative infinity.

Therefore, the range of the function [tex]\( f(x) = \frac{3}{4}x - 4 \)[/tex] is all real numbers. In interval notation, we can represent the range as [tex]\( (-\infty, \infty) \)[/tex].

Answer:

x=-15

Step-by-step explanation:

Change 2 to a denominator of 4 2x4=8

1/12x+8/4=3/4 (take away 8/4)

1/12x=-5/4 ( 5multiply by 12)

x=-60/4 (divided by 3)

x=-15

Answer:

A ray has an endpoint at one end, and goes on infinitely in the other direction.  An endpoint is shown with a point (usually including a label that is typically a single letter), and the infinite direction is shown with an arrow.

Answer:

9y + 54

Step-by-step explanation:

Multiply 9 both terms inside the parentheses

y*9 + 6*9

9y + 54

Answer:

C)   {xIx=R (all real #'s) , x>5}

Step-by-step explanation:

If I am reading the options correctly it should be c since after u add 7 to both sides you get x>5

(pls give brainliest)

Answer:

9

Step-by-step explanation:

1 feet is 12 inches, so 12 feet is 12 * 12 = 144 inches.

If studs are placed 18 inches apart, in 144 inches, there will be:

[tex]\frac{144}{18}=8[/tex]

But remember, there is a stud at the very beginning (at 0 feet).

So in total there are going to be 9 studs

To find the number of studs placed on the wall, subtract 2 from the total number of spaces between the studs, making total as 10 studs.

To find the number of studs placed on the wall, we need to calculate the number of spaces between the studs.

Since there are studs on each end of the wall, we subtract 2 from the total number of spaces.

The wall is 12 feet long, which is equal to 12 * 12 = 144 inches.

Each stud is placed every 18 inches, so the number of spaces between the studs is 144 / 18 = 8.

Therefore, the total number of studs placed is 8 + 2 = 10 studs.

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Answer:

m=-4

Step-by-step explanation:

5m-10m=-10m+5m=-(10m-5m)=-5m=20

divide by 5 on both sides, -m=4

miltiply by -1 on both sides, m=-4

Answer:

m = - 4

Step-by-step explanation:

Given

5m - 10m = 20 ← simplify left side by combining terms

- 5m = 20 ( divide both sides by - 5 )

m = - 4

Answer: b

Step-by-step explanation:

The boxplot of the distribution 66, 62, 58, 52, 48, 46, 44, 34, 33, 31, 31, 30, 27, 25, 24, 21, and 19 is given below.

The correct option is B.

The given distribution is as follows: 66, 62, 58, 52, 48, 46, 44, 34, 33, 31, 31, 30, 27, 25, 24, 21, 19.

To create a boxplot, we need to identify the minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum values.

Arranging the data in ascending order, we have: 19, 21, 24, 25, 27, 30, 31, 31, 33, 34, 44, 46, 48, 52, 58, 62, 66.

The minimum value is 19, the maximum value is 66, and the median (Q2) is the middle value of the sorted data, which is 33.

To find the quartiles, we need to locate the positions that divide the data into quarters. The lower quartile (Q1) is the median of the lower half of the data, and the upper quartile (Q3) is the median of the upper half.

Counting from the minimum, we find that Q1 is 27, and counting from the maximum, we find that Q3 is 48.

With this information, the box plot is given in the attached image below.

Therefore, the correct option is B.

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