How many 4-digit numbers (not starting with 0) are there which are not divisible by 5?

Answer:

Step-by-step explanation:

Hope this helps and i DID NOT use a Calculator!

2a + 2b = c

Subtract 2a from both sides

2b = -2a + c

Divide both sides by 2

b = -a + (c/2)

Answer:

8 feet squared

Step-by-step explanation:

The area of bedroom 1 is 2 length and 3 width. multiply them and you get 6ft^2 plus the 2 squares on the right.

The area of Bedroom 1 is,

⇒ 32 feet²

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

To find square feet of flooring are needed to cover the entire floor of Bedroom 1.

Here, We have;

1 in = 4 feet

Hence, Length of bedroom 1 = 8 feet

Width = 4 feet

Thus, The area of Bedroom 1 is,

⇒ 8 x 4 = 32 feet²

Hence, The area of Bedroom 1 is,

⇒ 32 feet²

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Answer:

              The similarities between the graphs f(x) and g(x) are that they are both linear functions, both have the same slope (rate of change of the function), and they form two parallel lines. The only difference between the two graphs is that they have different y-intercepts, specifically the y-intercept of the function f(x) is at (0, 2), and the y-intercept of the function g(x) is at (0, 8).

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The reasonableness of the estimate depends on the quality and reliability of the data sources and methodology used to arrive at the estimate.

In order to determine whether 12% is a reasonable estimate of the proportion of all Americans who eat chocolate

frequently, we would need to define what is meant by "frequently."

If we define "frequently" as "at least once a week," then 12% may or may not be a reasonable estimate, depending on

the data source and methodology used to arrive at that estimate.

For example, if the estimate is based on a small sample size or a non-representative sample of the population, then it

may not be a reliable estimate of the true proportion of Americans who eat chocolate frequently. Additionally, if the

estimate is several years old, it may not accurately reflect current trends and habits.

On the other hand, if the estimate is based on a large, nationally representative sample of the population, and is

relatively recent, then 12% could be a reasonable estimate of the proportion of Americans who eat chocolate

frequently.

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Kai's hourly rate of pay is $19.25/hour.

Kai worked 6 hours for 4 of the days, and

\(\begin{aligned}Time_2 &= 6\ hours \times 4\ days\\&= 6 \times 4\\&= 24\ hours \end{lignes}\)

Kai worked 8 hours in 1 day

\(\begin{aligned}Time_3 &= 8\ hours \times 1\ days\\&= 8 \times 1\\&= 8\ hours \end{lignes}\)

\(\rm{Total\ work\ time\ of\ Kai = Time_2 +Time_3\)

                           \(= 24\ hours+8\ hours\\= 32\ hours\)          

\(\rm{Kai's\ hourly\ rate\ of\ pay =\dfrac{weekly\ paycheck\ of\ Kai}{Total\ work\ time \of\ Kai}\)

                                      \(=\dfrac{\$616}{32\ hours}\\\\= \$19.25/hour\)

Hence, Kai's hourly rate of pay is $19.25/hour.

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Answer:

5b

Step-by-step explanation:

This is: b + b + b + b + b, which equals 5b.

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\(\huge \boxed{\sf 15} \\\\\\\displaystyle \sf AB+BC=AC \\\\Evaluating\ the \ equation \\\\2x+2+3x+6=23 \\\\5x+8=23\\\\5x=15\\\\x=3\\\\\\Substituting\ x=3 \\\\BC=3(3)+6=9+6=15\)

The simplified expression for "Square root of 125 times b" 5b√5

The expression "Square root of 125 times b" can be written in mathematical notation as:

sqrt(125) * b

To simplify this expression, we can first find the square root of 125. 125 can be written as the product of 25 and 5:

125 = 25 * 5

Taking the square root of both sides, we get:

√(125) = √(25 * 5)

So, we have

√(125) = 5√5

Substituting this back into the original expression, we get:

√(125) = 5b√5

Therefore, the simplified expression for "Square root of 125 times b" 5b√5

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After 1st Translation  (x,y) → (x-6.y) = X(-4,4), Y(0,0), Z(1,2)

After 2nd Translation (x, y) → (x+2y+7) = X(4,11), Y(8,7), Z(9,9)

What is translation?

And image After Composition means resultant image after you plot the translated points.

So, Given Vertices are X(2,4), Y(6,0), Z(7,2)

Then after 1st Translation = X(-4,4), Y(0,0), Z(1,2)

After 2nd Translation = X(4,11), Y(8,7), Z(9,9)

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Answer:

D

Step-by-step explanation:

The formula for a sphere is 4(π/3) * r ^ 3. If we plug in r we get 17^3 * 4/3 * π

Answer: P(rolling a sum of 4 or rolling a sum of 5)

Step-by-step explanation: edge2023

The scenario that uses the addition rule for mutually exclusive events is:

p(rolling a sum of 4 or rolling a sum of 5) = p(rolling a sum of 4) + p(rolling a sum of 5)

This is because the events "rolling a sum of 4" and "rolling a sum of 5" are mutually exclusive, meaning that they cannot occur at the same time. Therefore, the probability of either event occurring is the sum of their individual probabilities.

The probability of rolling a sum of 4 is 3/36, and the probability of rolling a sum of 5 is 4/36. The addition rule states that the probability of rolling a sum of 4 or 5 is the sum of their individual probabilities: 3/36 + 4/36 = 7/36

The other scenarios do not use the addition rule for mutually exclusive events:

p(rolling a sum of 4) is a single event and does not involve a second event.

p(rolling a sum of 12 or rolling a double 6) although the two events are mutually exclusive, it's not the sum of their individual probabilities.

p(rolling a sum of 11 and rolling a sum of 12) these events are not mutually exclusive, they can happen at the same time, so it's not the sum of their individual probabilities.

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The quadratic function contains the points (-1,1), (0,-2), and (2,4) is \(y=2x^{2} -x -2\)

The general equation of a quadratic equation is given by

\(y=ax^{2} +bx +c\)......equation(1)

Now, the quadratic function contains the points (-1,1), (0,-2), and (2,4).

Putting these values in the quadratic equation,

Putting x = -1 and y = 1 in the equation, we have

1 = a(-1^2) +b(-1) +c

1 = a -b +c ......equation (2)

Putting x = 0 and y = -2 in the equation, we have

-2 = a(0) +b(0) +c

c = -2

Putting x = 2 and y = 4 in the equation, we have

4 = a(2^2) +b(2) + (-2)

4 = 4a +2b -2

2 = 2a + b -1

2 +1 = 2a + b

2a + b = 3

b = 3 -2a

Now, putting b = 3 - 2a and c = -2 in equation (2), we have

1 = a - (3 -2a) + (-2)

1 + 2 = a -3 +2a

3 + 3 = 3a

6 = 3a

a = 6/3 = 2

Now, b = 3 - 2*2 = 3 - 4 = -1

Thus, a = 2, b = -1 and c = -2

Putting these values in the general equation, we get

\(y=2x^{2} -x -2\)

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The Sugar Tooth Candy Company should mix 60 gallons of the 60% sucrose solution with (300 - 60) = 240 gallons of the 25% sucrose solution to obtain the desired 32% sucrose solution.

To obtain 300 gallons of a 32% sucrose solution, the Sugar Tooth Candy Company should mix x gallons of the 60% sucrose solution with (300 - x) gallons of the 25% sucrose solution.

Let's set up an equation based on the amount of sucrose in the solution:

\(\[0.60x + 0.25(300 - x) = 0.32 \times 300\]\)

In this equation, 0.60x represents the amount of sucrose in x gallons of the 60% solution, and 0.25(300 - x) represents the amount of sucrose in (300 - x) gallons of the 25% solution. The right side of the equation represents the total amount of sucrose required in the final mixture (32% of 300 gallons).

Simplifying the equation:

\(\[0.60x + 75 - 0.25x = 96\]\)

Combining like terms:

\(\[0.35x + 75 = 96\]\)

Subtracting 75 from both sides:

\(\[0.35x = 21\]\)

Dividing both sides by 0.35:

\(\[x = \frac{{21}}{{0.35}} \\\\= 60\]\)

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The truck must make 2 trips tο deIiver 7 m³ οf sand.

VοIume is the amοunt οf space οccupied by an οbject οr substance. It is typicaIIy measured in cubic units such as cubic meters, cubic centimetres, οr cubic feet.

Tο caIcuIate the number οf trips the truck must make tο deIiver 7 m³ οf sand, we need tο determine hοw much sand the truck can carry per trip.

The vοIume οf the truck bed can be caIcuIated as fοIIοws:

VοIume οf the truck bed = Iength x width x height

= 2.5 m x 1.5 m x 1 m

= 3.75 m3

Therefοre, the truck can carry 3.75 m³ οf sand per trip.

Tο deIiver 7 m³ οf sand, we divide the tοtaI amοunt οf sand by the amοunt οf sand the truck can carry per trip:

Number οf trips = tοtaI amοunt οf sand / amοunt οf sand per trip

= 7 m³ / 3.75 m³ per trip

= 1.87

Since we cannοt make a partiaI trip, we must rοund up tο the nearest whοIe number.

Therefοre, the truck must make 2 trips tο deIiver 7 m³ οf sand.

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The area of the swimming pool on the scale drawing will be 300 sq. centimeters.

A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.

For the given scale drawing 1 centimeter represents 2 meters, therefore, the length of 40 meters in one scale drawing will be equal to,

40 meters = 40/2 centimeters = 20 centimeters

The width of 30 meters one scale drawing will be equal to,

30 meters = 30/2 centimeters = 15 centimeters

Now, the area of the swimming pool on the scale drawing will be,

Area= 20 centimeters × 15 centimeters = 300 sq. centimeters

Hence, the area of the swimming pool on the scale drawing will be 300 sq. centimeters.

The complete question is:

A rectangular swimming pool measures 40 meters in length and 30 meters in width. in the scale drawing of the pool, 1 centimeter represents 2 meters. then what is the area of the swimming pool on the scale drawing?

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Answer:

p = independent

t = dependent

The amount of hired truckers will depend on the amount of produce that has to be shipped from California to New York.

Hope this helps :)

Answer:  

5× 10 to the power -5

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

The set shows the value of the numbers will be:

a. 9

b. 65

76. It should be noted that the value of n(A × B) will be:

n(A) = 3.

n(B) = 3..

n(A × B)

= 3 × 3

= 9

78. n(A) = 13

n(B) = 5

n(A × B)

= 13 × 5

= 65

Therefore, the values are 9 and 65.

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Answer:

3X +ky=8 eqn 1

X-2ky=5 eqn 2

but we want to eliminate ky to get our X.

So let's multiply eqn 1 by 2.

We will have 6x +2ky=16 now eqn 3

now we add eqn 1 and 2

We will have 7x=21

divide by 7

x=3

The value of z/w in rectangular form is (-\(\sqrt{3/5}\) * 1/2) + i (\(\sqrt{3/5}\) * 1/2) by simplifying the given expression.

We have given that z = sqrt6 (cos 5π/6 + i sin 5π/6) and w = sqrt10 (cos 9π/6 + i sin 9π/6)

To find the value of z/w in rectangular form:

We know that

z/w = (\(\sqrt{ 6}\) (cos 5π/6 + i sin 5π/6))/(\(\sqrt{ 10}\) (cos 9π/6 + i sin 9π/6))

= \(\sqrt{6/10}\) * (cos 5π/6 + i sin 5π/6)/(cos 3π/2 + i sin 3π/2)

= \(\sqrt{3/5}\) * ((cos 5π/6 cos 3π/2 - sin 5π/6 sin 3π/2) + i (cos 5π/6 sin 3π/2 + sin 5π/6 cos 3π/2))

= \(\sqrt{3/5}\) * (-sin 5π/6 + i cos 5π/6)

= -\(\sqrt{3/5}\) sin 5π/6 + i \(\sqrt{3/5}\) cos 5π/6

= -\(\sqrt{3/5}\) * 1/2 + i \(\sqrt{3/5}\) * 1/2

Therefore, the value of z/w in rectangular form is (-\(\sqrt{3/5}\) * 1/2) + i (\(\sqrt{3/5}\) * 1/2).

We found that the value of z/w in rectangular form is (-\(\sqrt{3/5}\) * 1/2) + i (\(\sqrt{3/5}\) * 1/2) by simplifying the given expression.

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The simplified expression is -2w/(w+4).

To simplify the expression -2w^2/w^2+4w, we first factor out -2w from the numerator, which gives:

-2w(w+2)/w(w+4)

We can simplify this expression by canceling out the common factor of w+2 in both the numerator and denominator:

-2w/(w+4)

Therefore, the simplified expression is -2w/(w+4).

The excluded value in this expression is w = -4, as this value would make the denominator of the expression equal to zero. Division by zero is undefined, and therefore, w = -4 is not a valid input for this expression.

It is important to always check for excluded values when simplifying rational expressions, as division by zero is not a defined operation. In this case, we found that w = -4 is excluded from the domain of the expression, and all other values of w are valid.

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Answer: The appropriate hypotheses for this significance test are:

Null hypothesis (H0): The true mean travel time for all students who attend this school is equal to 20 minutes.

Alternative hypothesis (Ha): The true mean travel time for all students who attend this school is greater than 20 minutes.

The null hypothesis states that there is no difference between the claim (20 minutes) and the sample mean (22.4 minutes). The alternative hypothesis states that there is a difference and the sample mean is greater than the claim. The student will use the sample data and a chosen significance level (such as α = 0.05) to decide whether to reject or fail to reject the null hypothesis.

Step-by-step explanation:

Based on the given graph, the domain of the function can be expressed as [-5, 2], indicating that the function is defined for x-values within this interval.

Therefore, based on the given graph, the domain of the function can be expressed as [-5, 2], indicating that the function is defined for x-values within this interval.

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“Although part of your  question is missing, you might be referring to this full  question: In the given triangle with base length =\(8\sqrt{3}\) and angles at  vertices are 60°,90°, and 30° respectively find the length of side x ”

The length of side x in the given triangle is 4√3 units.

In the given triangle with a base length of 8√3 and angles at the vertices of 60°, 90°, and 30°, we can use trigonometry to find the length of side x.

Since we know that one angle is 90°, we can use the 30-60-90 triangle ratios to determine the other sides. The ratios for a 30-60-90 triangle are as follows:

Opposite side (x) / hypotenuse (8√3) = sin 30° = 1/2

Adjacent side (y) / hypotenuse (8√3) = cos 30° = √3/2

So, using these ratios, we can calculate the length of the opposite side (x):

x = (8√3) (1/2) = 4√3

Therefore, the length of side x in the given triangle is 4√3 units.

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Answer:

green because it sounds like garbage

Step-by-step explanation:

Answer:

the one u want to put em in?

Step-by-step explanation:

Answer:

(x)=(x-7)(x-4)

g(x)=x(2)+7x - 2

Now find a common denominator. (x+10)(x-4) is a good one.

x-16/(x+10)(x-4)+x-4/(x+10)(x-4)

2x-20/(x+10)(x-4)

The value of function g(f(-1)) is -70.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The value of functions,

f (x) = -4x - 7

g (x) = x² + 7x - 2

Now, Value of function g(f(-1)) as;

g(f(x)) = g(-4x - 7)

        = (-4x - 7)² + 7(-4x - 7) - 2

        = (4x + 7)² + 7 × -4 × x - 7 × 7 - 2

        = 16x² + 49 + 56x + 28x - 49 - 2

        = 16x² + 84x - 2

Thus, g(f(x)) = 16x² + 84x - 2

Now, To find value of g(f(-1)) we can substitute x = -1,

g(f(-1)) = 16(-1)² + 84(-1) - 2

        = 16 - 84 -2

        = -70

Thus, The value of function g(f(-1)) is -70.

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Step-by-step explanation:

multiple the power and real number

Answers;

a) Multiply 2 by 3: 6ab.

b) Multiply \(c^{5}\) by c by adding the exponents: c^6 or \(c^{6}\).

c) Simplify the expression. 10y^7 or \(10y^{7}\).

d) Simplify the expression. 12g^4h^5 or \(12g^{4}h^{5}\).