△RST is shown below. XU = –2y + 15 and XW = 3y + 5.

PLEASE HELP ME

a. The missing values of the logarithm expression is log₃(40).

b. The missing values of the logarithm expression is log₅(8).

c. The missing values of the logarithm expression is  log₂(1/25).

The missing values of the logarithm expression is calculated as follows;

(a). log₃5 + log₃8, the expression is simplified as follows;

log₃5 + log₃8 = log₃(5 x 8) = log₃(40)

(b). The log expression is simplified as;

log₅3 - log₅X = log₅3/8

log₅X = log₅8

X = 8

(c).  The log expression is simplified as;

-2log₂5 = log₂Y

log₂5⁻² = log₂Y

5⁻² = Y

1/25 = Y

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All four sides of a square are congruent and they all equal 90 degrees

The tuxedo was rented for 4 days.

Let's start by assigning variables to the unknowns. Let "x" be the number of additional days rented, and "d" be the total number of days rented (including the first day).

From the given information, we know that the flat fee for the rental is $150, so the cost of the additional days is the total cost minus the flat fee, which is $300 - $150 = $150. We also know that the cost for each additional day is $50. Therefore, we can set up the equation:

$150 + $50x = $300

Subtracting $150 from both sides, we get:

$50x = $150

Dividing both sides by $50, we get:

x = 3

So the tuxedo was rented for 3 additional days, making the total number of days rented:

d = 1 + 3 = 4

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Answer:

The answer toy our problem is, The maximum number of days by which the completion of work can be delayed is 15.

Step-by-step explanation:

We are given that the penalty amount paid by the construction company from the first day as sequence, 4000, 5000, 6000, ‘ and so on ‘. The company can pay 165000 as penalty for this delay at maximum that is

 \(S_{n}\)​ = 165000.

Let us find the amount as arithmetic series as follows:

4000 + 5000 + 6000

The arithmetic series being, first term is \(a_{1}\) = 4000, second term is \(a_{2}\) = 5000.

We would have to find our common difference ‘ d ‘ by subtracting the first term from the second term as shown below:

\(d = a_{2} - a_{1} = 5000 - 4000 = 1000\)

The sum of the arithmetic series with our first term ‘ a ‘ which the common difference being, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) ( ‘ d ‘ being the difference. )

Next we can substitute a = 4000, d = 1000 and \(S_{n}\) = 165000 in “ \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\) “ which can be represented as:

Determining, \(S_{n} = \frac{n}{2} [ 2a + ( n - 1 )d ]\)

⇒ 165000 = \(\frac{n}{2}\) [( 2 x 4000 ) + ( n - 1 ) 1000 ]

⇒ 2 x 165000 = n(8000 + 1000n - 1000 )

⇒ 330000 = n(7000 + 1000n)

⇒ 330000 = 7000n + \(1000n^2\)

⇒ \(1000n^2\) + 7000n - 330000 = 0

⇒ \(1000n^2\) ( \(n^2\) + 7n - 330 ) = 0

⇒  \(n^2\) + 7n - 330 = 0

⇒ \(n^2\) + 22n - 15n - 330 = 0

⇒ n( n + 22 ) - 15 ( n + 22 ) = 0

⇒ ( n + 22 )( n - 15 ) = 0

⇒ n = -22, n = 15

We need to ‘ forget ‘ the negative value of ‘ n ‘ which will represent number of days delayed, therefore, we get n=15.

Thus the answer to your problem is, The maximum number of days by which the completion of work can be delayed is 15.

Answer:

f(-2) = -3

Step-by-step explanation:

\(f(x)=-\frac{1}{2} x^{2} +x+1\)

Just plug in x = -2

\(f(-2)=-\frac{1}{2} (-2)^{2} -2+1\)

\(f(-2)=-\frac{1}{2} (4) -1\)

4 can be rewritten as \(\frac{4}{1}\) or \(\frac{8}{2}\) so it has a common denominator.

\(f(-2)=-\frac{1}{2} * \frac{8}{2} -1\)

\(f(-2)=-\frac{4}{2} -1\)

\(f(-2)=-2-1\)

\(f(-2)=-3\)

Answer:

Option A i.e. (1, 0) is correct.

Step-by-step explanation:

We know that graph of a Parabola illustrates a U-shaped curve.

The graph of Parabola has an important characteristic, it consists of an extreme point which is termed as 'vertex'.

When a parabola opens up, the vertex will be the lowest point on the Parabola graph.

When a parabola opens up, the vertex will be the lowest point on the Parabola graph. This lowest point is the minimum value of the parabola function.

Given the equation

y = x² - 2x + 1

From the given Parabola graph, it is clear that the parabola opens up.  

Thus, the vertex will be the lowest point on the Parabola graph which is also the minimum value.

It is clear that the vertex of the parabola is located at (1, 0).

Therefore, the point (1, 0) is the vertex of the function.

SECOND METHOD:

Given the equation

y = x² - 2x + 1

The vertex of an up-down facing parabola of the form y = ax² + bx + c is

\(x_v=-\frac{b}{2a}\)

\(a=1,\:b=-2,\:c=1\)

\(x_v=-\frac{\left(-2\right)}{2\cdot \:1}\)

\(x_v=1\)

Plug on \(x_v=1\) in the equation y = x² - 2x + 1 to find the \(y_v\) value

\(\:y_v\:=\:x^{2} \:-\:2x\:+\:1\)

\(\:y_v\:=\:\left(1\right)^2\:-\:2\left(1\right)\:+\:1\)

\(y_v\:=1-2+1\)

\(y_v\:=0\)

Therefore, the vertex is:

\(\left(x_v,\:\:y_v\right)=\left(1,\:0\right)\)

Hence, option A i.e. (1, 0) is correct.

Answer:

33/100

Step-by-step explanation:

E = 99/3

p = E/S = 33/100

Answer:

867.44 ft²

Step-by-step explanation:

The area of the shaded region is A = 196π + 252.

We have the dimensions of the unshaded region are 14ft x 18ft.

We have to find the area of shaded region.

The area of a rectangle is -

A(R) = Length x Breadth = L x B

and the area of Circle is -

A(C) = \(\pi r^{2}\)

According to the question -

Dimensions of the unshaded region -

L = 18ft

B = 14ft

Area of the shaded region (A) = Total Area - Area of Rectangle

Total Area = Area of 2 semicircles of radius (7 + 7) 14ft + Area of rectangle of length 18ft and breadth 28ft.

Total Area = ( \(2\times \frac{1}{2}\times \pi \times14 \times 14\) ) + ( 18 x 28)

Total Area = 196π + 504

Area of the shaded region (A) = 196π + 504 - 252 = 196π + 252

Hence, the area of the shaded region is A = 196π + 252.

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Answer:

She can decompose it into two rectangles or a triangle

Step-by-step explanation:

I just did this on EDMENTUM its right!

Answer:

384 cm

Step-by-step explanation:

Perimeter is the sum of all external sides. (do not mix this up with area. Perimeter is the easy one) :)

There are 4 external sides.

Top = bottom = 132 cm

Left = Right = 60 cm

Add all 4 sides:

2(132) + 2(60)

264 + 120 = 384 cm

Answer:

88 are boys

Step-by-step explanation:

220 times 3/5 = 132

220-132 =88

The number of boys in the 7th grade is B = 88 boys

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as B

Now , the value of B is = number of boys

Substituting the values in the equation , we get

If three-fifths of the students are girls, then two-fifths must be boys, since the total fraction of students is equal to 1

On simplifying the equation , we get

To find the number of boys in the 7th grade, we can start by calculating the fraction of boys:

( 2/5 ) x 220 = 88

Hence , there are 88 boys in the 7th grade.

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Answer:

hey. pls post the graphs with the question so we may help you. you can add the pictures as an attachment.

The sample should be taken to provide a 95% confidence interval is 200.

A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.

Confidence is another name for probability in statistics.

Given the planning value for the population proportion,

probability, p = 0.25

q  = 1 - p = 1 - 0.25

q = 0.75

margin of error = E = 0.06

value of z at 95% confidence interval is 1.96,

the formula for a sample is,

n = (z/E)²pq

n = (1.96/0.06)²*0.25*0.75

n = 200.08

n = 200 approx

Hence sample size is 200.

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If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:

Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).

Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).

Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).

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Answer:

there is no graph. can you edit the question?

Answer:

Ok:

Step-by-step explanation:

Welp, I don't see the graph but I can tell you what to do. You find x = 4, and draw a vertical line up. Once your line reaches the graph, see what the y value is. If the question is nice, you should get an exact integer number

Answer:

Im unsure what your asking but the answer is 6 1/2 in fraction form and 6.5 in decimal form :/

Step-by-step explanation:

math

When 117 is divided by 18 we get 117/18 in fraction form.

To divide 117 by 18, we perform long division.

We start with the first digit of the dividend (1) and divide it by the divisor (18).

Since 18 is larger than 1, the quotient for this step is 0.

We then bring down the next digit (1) and place it next to the previous result.

Again, since 18 is larger than 11, the quotient for this step is 0.

Therefore, the result of dividing 117 by 18 is 0 with a remainder of 117.

In fraction form, this can be expressed as 117/18.

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The distance from P to l of the given coordinates is 13.34

The slope of Line I is calculated as;

m = (4 + 9)/(-2 - 1)

m = 13/-3 = -13/3

Thus, the equation using the first coordinate of point I is;

y =  (-13/3)x + b

4 = (-13/3 * -2) + b

4 = 26/3 + b

Thus;

b = 4 - 26/3

b = (12 - 26)/3

b = -14/3

Thus, the equation of the line I passing through the given two points is;

y = -13x/3 - 14/3

Let us now find the line perpendicular to I and passing through (14, -6). Plug in x = 14 and y = -6 into the first line equation to get b;

y =  (-13/3)x + b

-6 = 3(14)/13 + b

b = -6 - 42/13

b = -78/13 - 42/13

b = -120/3

Thus, the equation is;

y = (3/13)x - 120/13

Let us now find the intersection point of the two lines by equating them;

3x/13 - 120/13 = -13x/3 - 14/3

multiply through by 39 to get;

9x - 360 = -169x - 182

178x = 360 - 182

178x = 178

x = 1

Thus;

y = -27/3

y =-9

The point is (1,-9) and as such the distance from (1,-9) to (14,-6) is;

d² = 9 + 169

d² = 178

d = √178

d = 13.34

Thus, the distance from P to l of the given coordinates is 13.34

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Complete Question is;

Line l contains points (-2,4) and (1,-9). Point P has coordinates (14,-6). Find the distance from P to l

He would have saved $87,221.02  after 1 year

He would have saved $268,335.90   after 3  years

What is an ordinary annuity?

An ordinary annuity means a fixed amount invested at specific intervals, in this case, $7,185.51 is invested monthly, which means that its future value can be computed using the future value formula of an ordinary annuity as shown below:

FV=PMT*(1+r)^N-1/r

FV=future value of an ordinary annuity

PMT=monthly payment invested every month

r=monthly interest rate=annual interest/12

N=number of months that monthly payments were

FV after 1 year:

PMT=$7,185.51

r=monthly interest rate=2.5%/12=0.00208333333333333

N=number of months in 1 year=12

FV=$7,185.51*(1+0.00208333333333333)^12-1/0.00208333333333333

FV=$7,185.51*(1.00208333333333333)^12-1/0.00208333333333333

FV=$7,185.51*0.02528845698324970/0.00208333333333333

FV=$87,221.02

FV after 3  years:

PMT=$7,185.51

r=monthly interest rate=2.5%/12=0.00208333333333333

N=number of months in  3 years=36

FV=$7,185.51*(1+0.00208333333333333)^36-1/0.00208333333333333

FV=$268,335.90

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If the H.C.F of Q and R is 4056,the value of a is 13

HCF or Highest Common Factor is the greatest number which divides each of the two or more numbers. HCF is also called the Greatest Common Measure (GCM) and Greatest Common Divisor(GCD).

Q = 2³ × 3 × a³ and R = R=2⁴ × 3² × a²

This means that Q = 24a³ and R = 144a²

The common factors between 24 and 144 are: 1,2,4,6,12 and 24.

And the common factors between a³ and a² are : a, a²

Therefore the highest common factors are 24 and a² = 24a²

4056 is given as the H.C.F

therefore 4056 = 24a²

divide both sides by 24

a² = 169

Therefore a = √169 = 13

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Answer:

a.1.90 years

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1-0.99}{2} = 0.005\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1-\alpha\).

So it is z with a pvalue of \(1-0.005 = 0.995\), so \(z = 2.575\)

Now, find the margin of error M as such

\(M = z*\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

In this question:

\(n = 25, \sigma = 3.8\)

So

\(M = 2.575*\frac{3.8}{\sqrt{25}} = 1.90\)

So the correct answer is:

a.1.90 years

Answer:

Step-by-step explanation:

for first one's answer visit;

https://answers.everydaycalculation.com/subtract-fractions/2-3-minus-7-18

for sencond one;

3x=2+1

3x=3

x=1

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Answer:

it should be D thx

Step-by-step explanation:

The missing number so that the equation has infinitely many solutions is 6

For the given equation to have an infinite number of questions, the value of x must be an infinite value.

Given the expression -3(x-2) + 5x + y = 2(x + 6)

Expand the equation

-3x + 6 + 5x + y = 2x + 12

2x + (6 + y) = 2x + 12

For the equation to have infinitely many solutions, 6+y must be equal to 12, that is 6+y = 12

y = 12 - 6

y = 6

Hence the missing number so that the equation has infinitely many solutions is 6

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The missing number so that the equation has infinitely many solutions is 6.

An equality has infinitely many solutions if it is an identity, that is, both sides are equal.

In this problem, the equality is:

\(-3(x - 2) + 5x + v = 2(x + 6)\)

\(-3x + 6 + 5x + v = 2x + 12\)

\(2x + 6 + v = 2x + 12\)

\(6 + v = 12\)

\(v = 12 - 6\)

\(v = 6\)

The missing number is 6.

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Answer:

y = -x + 6

Step-by-step explanation:

Here we use the slope intercept form y = mx + b, substituting 2 for x, 4 for y and -1 for m:

4 = -1(2) + b, or

4 = -2 + b, or b = 6

Then the desired equation is

y = -x + 6

Answer:

x=-6, y=12

Explanation:

Given the system of linear equations:

Substitute y =-2x into the first equation.

Solve the equation for x.

Next, we solve for y.

The solution to the equation is x=-6 and y=12.

Answer:

a. The sampling distribution of the sample mean will have a smaller standard deviation than the population.

b. The sampling distribution of the sample mean will have a different standard deviation than the population.

c. The shape of the sampling distribution of the sample mean will be skewed right.

Step-by-step explanation:

Answer:

2546

Step-by-step explanation:

The value of m + n is given as follows:

A. 18.

The exponential expression for this problem is defined as follows:

\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)

Applying the power of power rule, we have that the exponents are given as follows:

Then the values of m and n are given as follows:

m = 7, n = 11.

Thus the sum is given as follows:

m + n = 7 + 11 = 18.

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the answer is D

The figure can be divided into a rectangle and 2 triangles