round the square root of 62 to 1 dp

[tex]\frac{ln(e)}{4}=\frac{1}{4}[/tex], by properties of logarithm.

Now, as we know that ln (e) = 1,

In the given expression, [tex]\frac{ln(e)}{4}[/tex], for ln(e) = 1,

The expression becomes: [tex]\frac{ln(e)}{4}=\frac{1}{4}[/tex]

Hence, [tex]\frac{ln(e)}{4}=\frac{1}{4}[/tex], by properties of logarithm.

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Hans will run additional 9 miles to the 18 miles he has run to complete 27 miles in wants to run for the week.

If Hans is to run 27 miles this week and he has run 18 miles, the additional miles he has to run in the week is t. Meaning that t plus eighteen is equal to 27, which is expressed mathematically below

t + 18 = 27

To solve the equation above, use balancing method. To use balancing method, subtract 18 from both side of the equation.

t +18 -18 = 27-18

t + 0 = 27-8

t = 27 -18

t = 9

Therefore, Hans will run additional 9 miles to complete 27 miles for the week.

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According to the question, the given expression is written as below:

The expression is : [tex](\frac{2x^{4} }{10y^{-2} } )(\frac{5y^{3} }{4x^{3} } )[/tex]

Using indices concept, the same variables get cancelled with each other. The divisible numbers get divided by their respective numbers.

And finally, the negative power becomes positive in numerator. Using these concepts the above expression can be re-written as:

Final expression: [tex]\frac{xy^{5} }{y4} =xy[/tex]

Hence, the evaluated expression is [tex]xy[/tex].

What is indices?

In mathematics, the indices are the power or the exponent which is either raised to numbers or variables.

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Step-by-step explanation:

a ratio of 5:5:6 tells us first that there are 5+5+6 = 16 units in all the sides lengths of the triangle.

we don't know how large a single unit is yet, but we know, we have 16 of them.

we also know that all 3 sides together is 32 cm.

and that is another form to bring all side lengths together.

so, we know now that

32 cm = 16 ratio units.

therefore, one ratio unit is 32/16 = 2cm.

therefore, the sides are actually :

2×5 = 10 cm

2×5 = 10 cm

2×6 = 12 cm

so, we have an isoceles triangle (the 2 legs are equally long : 10 cm) with a baseline of 12 cm.

that means the height to the baseline splits the triangle in half (into 2 equal right-angled triangles).

and the height of the main triangle we get via Pythagoras from these smaller triangles :

c² = a² + b²

with c being the Hypotenuse (the baseline opposite of the 90° angle), a and b are the legs.

10² = (baseline/2)² + height² = 6² + height²

100 = 36 + height²

64 = height²

height = 8

the area of a triangle is

baseline × height / 2

so, in our case the area of the triangle is

12 × 8 / 2 = 12 × 4 = 48 cm²

The error that Eli made is that C. He did not solve the equation completely since there are two positive solutions.

It should be noted that the equation given is g² = 49.

In this case, Eli solved it and got -7. This is incorrect.

It should be noted that the appropriate solution should have been ✓49 = 7.

Therefore, the error that Eli made is that C. He did not solve the equation completely since there are two positive solutions.

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the answer is pyramid or cone

The simplified expression after solving the given equation is 8.4721 .

The given expression is,

[tex]4\sqrt{7} - \sqrt[3]{7}[/tex]                                                                   equation 1

Name the given expression as equation 1.

To simplify the given expression first we need to solve step wise,

As we know [tex]\sqrt{7}[/tex] = 2.6457 , we can write,

4[tex]\sqrt{7}[/tex] = 4 × (2.6457) = 10.5830

[tex]\sqrt[3]{7}[/tex] = 1.9129

Now, we need to substitute the above solved values in equation 1 and after substituting them we can write as follows:

[tex]4\sqrt{7} - \sqrt[3]{7}[/tex] = 10.5830 - 1.9129

On further simplifying, we will get

[tex]4\sqrt{7} - \sqrt[3]{7}[/tex] = 8.4721

Thus we can write that the simplified expression after solving the given equation is 8.4721.

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The value of the composite function (g/f)(x) is (x^2 - 5)/(4x + 1)

The definition of the functions are given as

f(x) = 4x + 1

g(x) = x^2 - 5

The composite function is given as

(g/f)(x)

The composite function is calculated using

(g/f)(x) = g(x)/f(x)

Substitute the known values in the above equation

So, we have

(g/f)(x) = (x^2 - 5)/(4x + 1)

Hence, the value of the composite function (g/f)(x) is (x^2 - 5)/(4x + 1)

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[tex]\cfrac{6}{7}\div \left(-\cfrac{11}{2} \right)\implies \cfrac{6}{7}\cdot \left(-\cfrac{2}{11} \right)\implies -\cfrac{12}{77}[/tex]

Answer:

13.5x

Step-by-step explanation:

Move all terms containing x to the left, all other terms to the right.

Cross multiply.

Answer: 13.5x

Step-by-step explanation: all that needs to happen is the numbers multiplied. after, put the x on the

Answer:

perpendicular angle are=90

so there for: (4x-2)+(3x+8)=90

4x-2+3x+8=90

7x+6=90

7x=90-6

7x=84

so there for:x=12

The required ratio of the input value to the output value is 1:3. option D is correct.

The table has been shown with input and output data we have to determine the ratio of the input value to the output values.

Here,
1) for input 2 there is output 6
Ratio = input / output = 2 / 6 = 1 : 3
2) for input 3 there is output 9
Ratio = input / output = 3 / 9 = 1 : 3

2) for input 6 there is output 18.
Ratio = input / output = 6 / 18 = 1:3

Thus, the required ratio of the input value to the output value is 1:3. option D is correct.

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The required number line representation is attached

To solve this question we need to know the concept of number line :

Number lines are a horizontal straight lines in which the integers are placed in equal intervals all this numbers in a sequence can be represented in a number line . this line extends infinitely in both sides.

the numbers on the number line increases as one move right and decreases on moving from right to left . A number line can be used to depict both positive and negative integers. Writing numbers on a number line facilitates number comparison. The numbers on the left of the number line are smaller than the numbers on the right.

A number line can also be used to carry out addition , subtraction , multiplication and division . We move right to add move left to subtract and skip count to multiply .

The required number line is attached in the picture below :  

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Answer:

7000

Step-by-step explanation:

Your answer is 7000.

Answer:

here to help!

Step-by-step explanation:

no; Sample answer: If the vertices of ABC are A(1, 2), B(3, 4), and. C(1, 4), then the vertices of the final image are A"(-3, −1), B"(-5, 1), and C"(-3, 1).

The answer is 6 because you replace c with the 2 (because it says that c equals 2) and add it normally which you get 6

Answer:

$2,009

Step-by-step explanation:

Hope this helped! <3 If correct pls mark me as brainliest! Have a great day!

Attributes shared by rhombuses and rectangles:

Both are quadrilaterals.

Both have their opposing sides equal and parallel.

If a rhombus and a rectangle have the same length and width,

The perimeter of the rhombus equals the sum of the diagonals of the rectangle.

The sum of the diagonals of the rhombus equals the semiperimeter of the rectangle.

The angles of the rhombus equal the angles formed by the diagonals of the rectangle.

The angles formed by the diagonals of the rhombus are all right angles, as are the angles of the rectangle.

The area of the rhombus is one half of the area of the rectangle.

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The LCM of 1250 and 525 is 26,250.

The HCF of 1250 and 525 is 5.

The factors of a number is the number that perfectly divides another number. For example, a factor of 30 is 3. A prime number is a number that is perfectly divisible by 1 and itself. An example of a prime number is 3. The highest common factor is the highest factor that is common to two or more numbers.

A multiple is the product of a number and another number. For example, the multiple of 3 is 15. This is because 3 multiplied by 5 is 15. The lowest common multiple is the smallest multiple that is common to two or more numbers.

Prime factors of 1250 = 2 x 5 x 5 x 5 x 5

Prime factors of 525 = 3 x 5 x 7

HCF = 5

LCM = 2 x 3 x  5 x 5 x 5 x 5 x 7 = 26,250

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Answer:

Letter D is the correct answer.

Step-by-step explanation:

In the graph, the first line is an increasing diagonal and it stops in 10, meaning that John travelled 10 miles in 10 minutes.

After that, there is a horizontal line that indicates how much time he spent at the restaurant.

Finally, the last diagonal shows the distance travelled (5 miles) and the time it took (10 minutes.)

had the same question a couple minutes ago

hope it helps you;)

The cost spent per gallon of the gas is a $4 and the total money spent on gas is a 20$.

According to the statement

We have to find that the cost of the gas he used.

So, For this purpose, we know that the

A cost function may be a mathematical formula wont to wont to chart how production expenses will change at different output levels.

From the given information:

It costs Kobel $3.50 in tolls to drive to figure and back day after day, plus he uses 5 gallons of gas. It costs him a complete of $23.50 to drive to figure and back daily.

Then

Total money he spent = Toll cost + amount of gas she used

$23.50 = $3.50 + 5 gallons

Then

Cost of the 5 gallons = 23.50 - 3.50

Cost of the 5 gallons = 20

Then

cost of the 1 gallon gas = 20/5

cost of the 1 gallon gas = $4.

So, The cost spent per gallon of the gas is a $4 and the total money spent on gas is a 20$.

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Answer:

Six hundred fifty eight and one hundred twenty nine thousandths

Answer: (2x-7)(3x+4)

Step-by-step explanation:

There is a technique called the “Slide Method” that can make this easier to solve.

The first step is to slide the coefficient of the 1st term and multiply it to the last term; which becomes:

X^2-13x-28(6) or x^2-13x-168

Next, factor this equation normally. The two factors that go into this are -21 and 8, so we can set this up as: (x-21)(x+8)

After that, divide both sides by the 6 that you previously slid:

(X-21/6)(x+8/6)

Then, reduce the fractions:

(X-7/2)(x+4/3)
After this is the last step. Take the denominator of the fraction, and make it the coefficient of the x variable: (2x-7)(3x+4)

Checking our Work; we get: (6x^2+8x-21x-28)=(6x^2-13x-28)

So, we know that (2x-7)(3x+4) is correct.

The value of the expression when p =-3 and q =5 is -4

Algebraic expressions are defined as expressions made up of variables, terms, factors, constants and coefficients.

They are also made up of mathematical or arithmetic operations such as:

Given the expression;

p + (-q) -2p

Where:

Now, substitute the values of p as - 3 and q as -5 in the expression, we have:

(-3) + (-5) - 2(-3)

expand the bracket

-3 - 5 + 6

add the values first

-3 - 1

-4

Thus, the value of the expression when p =-3 and q =5 is -4

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Answer:

C I think good luck brother bye bye

The given expression log₅32 is equivalent to the expression (D) log32/log5.

To find which expression is equivalent to log₅32:

Law of logarithms:

Given the log function, which is written as log₅32

Substitute as: log₅32 = log32/log5

Therefore, the given expression log₅32 is equivalent to the expression (D) log32/log5.

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If Mr. Jackson has a circular garden with a diameter of 10 feet surrounded by edging and using the same length of edging, he is going to create a square garden, then the maximum side length of the square is equal to 7.85 feet.

First, we have to find the amount of edging Mr. Jackson has. This can be calculated by finding the circumference.

Circumference can be found by using diameter by the formula;

c = π (diameter)

c = π (10)

c = 3.416 feet

This is the amount of edging on the circular garden. As he has to use the same amount of edging on the square garden, the edging on the square garden is the parameter of the square garden. As the parameter of the square is four times the side length, therefore;

3.416 ÷ 4 = 7.85

Hence, the maximum side length of the square is equal to 7.85 feet.

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