Simply the expression (Picture provided)

Answer:

Step-by-step explanation:

[tex]B_n = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9\\B_p = 2, 3, 5, 7\\B_{o_p} = 3, 5, 7\\[/tex]

There are 3 odd primes, namely : 3, 5, 7

The total amount of blocks is 9

The odds of picking and odd prime is [tex]\frac{3}{9} \cdot 100\% = 33,(3)\%[/tex]

Answer:

Step-by-step explanation:false

ANSWER:

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Im pretty sure the answer is "Relation"

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Relation definition:

A relation is a set of numbers that have a relationship through the use of a domain and a range.

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HOPE THIS HELPS!!!

≠GoodLuck

It is a relation because even if they are negative they still can have a relation between them. Hope this is helpful for you!

Answer:

f(3) = (-∛150)/10

Step-by-step explanation:

Put 3 where x is and evaluate. If you don't want the decimal, you can rationalize the denominator to get an exact form.

  f(3) = ∛(3/(-7·3+1)) = ∛(-3/20)

  = -∛(3·50/(20·50)) = (-∛150)/10 ≈ -0.5313292845913...

_____

Multiplying numerator and denominator by 50 makes the denominator 1000, a perfect cube.

there are 13 small dogs that compete

Answer:

y = -3.3 then  -7.1

y = -7.1 then  -10.9

y = -2.6 then -6.4

y = 1 then -2.8

y = 4.2 then 0.4

Step-by-step explanation:

(-3.8)+0+y can be simplified to -3.8 + y. Evaluate each value for y by substituting it into the expression and solving.

y = -3.3 then -3.8 + -3.3 = -7.1

y = -7.1 then -3.8 + -7.1 = -10.9

y = -2.6 then -3.8 + -2.6 = -6.4

y = 1 then -3.8 + 1 = -2.8

y = 4.2 then -3.8 + 4.2 = 0.4

To evaluate the expression (-3.8) + 0 + y, substitute the given value of y and perform addition.

To evaluate the expression (-3.8) + 0 + y, you simply substitute the given value of y into the expression and perform the addition. Let's evaluate the expression for each given value of y:

Thus, the values of the expression for the given values of y are:

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Answer:

∠PST = 45°

Step-by-step explanation:

The diagonals of a square bisect the angles

∠SPQ = 90° ⇒ ∠SPT = 45°

Answer:

see explanation

Step-by-step explanation:

P - Q

= - 4b² + 6b - 9 - ( 7b² - 2b - 5) ← distribute by - 1

= - 4b² + 6b - 9 - 7b² + 2b + 5 ← collect like terms

= - 11b² + 8b - 4

Answer:

[tex]\large\boxed{P-Q=-11b^2+8b-4}[/tex]

Step-by-step explanation:

[tex]P=-4b^2+6b-9\\Q=7b^2-2b-5\\\\P-Q=(-4b^2+6b-9)-(7b^2-2b-5)\\P-Q=-4b^2+6b-9-7b^2-(-2b)-(-5)\\P-Q=-4b^2+6b-9-7b^2+2b+5\qquad\text{combine like terms}\\P-Q=(-4b^2-7b^2)+(6b+2b)+(-9+5)\\P-Q=-11b^2+8b-4[/tex]

Answer:

Answer is B

Step-by-step explanation:

To find the workers' compensation insurance premium, multiply the payroll for September ($179,805) by the base rate converted to decimal (0.1124), resulting in a premium of $20,210.08 (Option A).

The question involves calculating the premium for workers' compensation insurance based on the total payroll for the month of September. To determine the monthly premium, we need to apply the base rate to the total payroll amount. The base rate is given as $11.24 per $100 in wages paid. We can calculate the premium with the following steps:

Convert the base rate to a decimal by dividing by 100. This will give us 0.1124.

Multiply the total payroll amount ($179,805) by the decimal base rate (0.1124) to get the premium amount.

Let's perform the calculation:

$179,805 * 0.1124 = $20,210.08

Therefore, the correct option is:

A) $20,210.08

Answer:

It is the second one

⇒The given inequality is

x²-y²<9

 [tex]\frac{x^2}{3^2}-\frac{y^2}{3^2}<1[/tex]

⇒The general equation of Hyperbola is

 [tex]\frac{x^2}{a^2}-\frac{y^2}{b^2}=1[/tex]

→The curve will cut the x axis at (3,0) and (-3,0).

So, the given function matches with the curve of Hyperbola.

⇒When the points are from [-3,3] , the function will satisfy the given Inequality.That is if you take , points prescribed in the given interval the function will satisfy the inequality.

⇒Graph B

parts of 10% soln, x

parts of 25% soln, y

total soln, x+y =30

{x(0.1) + y(0.25)}/(x + y) = 0.12...eqn 1

x + y = 30...eqn 2

from eqn 2...=》 x = 30-y

subst for x in eqn 1...

=》 {(30-y)(0.1) + y(0.25)}/ 30-y+y = 0.12

=》 (3-.1y+.25y)/30 =0.12

=》 3+.15y = 3.6

=》 .15y = .6

=》 y =4

using x = 30 - y = 26

ans

26ml of 10% soln

4ml of 25% soln

Using a system of equations to represent the scenario, 26mL of 10% solution and 4mL of 25% solution would be required.

Let ;

From (1)

Substitute (3) into (2)

0.1(30 - b) + 0.25b = 3.6

3 - 0.1b + 0.25b = 3.6

0.15b = 0.6

b = 0.6/0.15

b = 4

From (3) :

a = 30 - 4

a = 26

Hence, 26mL of 10% solution and 4mL of 25% solution would be required.

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Answer:

∠STP = 90°

Step-by-step explanation:

The diagonals of a square are perpendicular bisectors of each other, hence

∠STP = 90°

Answer:

[tex]\large\boxed{e.\ \{a,\ b,\ c,\ d,\ 0,\ 2\}}[/tex]

Step-by-step explanation:

[tex]\text{The union (denoted by}\ \cup\ \text{) of a collection of sets is the set of all elements of the sets. }\\\\A=\{0,\ 1,\ 2,\ 3\}\\\\B=\{a,\ b,\ c,\ d\}\\\\C=\{0,\ a,\ 2,\ b\}\\\\B\ \cup\ C=\{a,\ b,\ c,\ d,\ 0,\ 2\}[/tex]

The sum of all the three interior angles of a triangle are 180 degrees. This does not depend on the positioning of the three sides. The sides can be positioned in any way, but the sum must be 180 degrees.

So, the best possible sets of measurements that could be the interior angle measures of a triangle are : 15°, 75°, 90°  And 60°, 60°, 60°

The sets of measurements that could represent the interior angles of a triangle are those whose angles add up to exactly 180°. The valid options provided are 10°, 10°, 160°; 15°, 75°, 90°; 35°, 35°, 105°; and the equilateral set of 60°, 60°, 60°.

The question pertains to the interior angles of a triangle. According to the Triangle Sum Theorem, the interior angles of a triangle always add up to 180°. Therefore, to determine which sets of measurements could represent the interior angles of a triangle, we must check if the sum of the given angles is equal to 180°.

From the options given, the sets of measurements that represent the interior angles of a triangle are:

Answer:

44 liters

Step-by-step explanation:

It is 44 liters !!!!!

Answer:

x = 13

Step-by-step explanation:

The area of a rectangle is found by A = l*w. Since the length here is x and the width is 2x - 8, substitute these values and A = 234 to solve for x.

[tex]A = l*w\\234 = x(2x-8)\\234 = 2x^2 - 8x[/tex]

To solve for x, move 234 to the other side by subtraction. Then remove the common factor between all three terms of 2. Factor and solve.

[tex]2x^2 - 8x  - 234 = 0 \\2(x^2 - 4x - 117) = 0\\2(x - 13)(x+9) = 0\\[/tex]

Set each factor equal to 0 and solve.

x - 13 = 0 so x = 13

x + 9 = 0 so x = -9

Since x is a side length and length/distance cannot be negative, then x = 13 is the length of the rectangle.

a) The given function is

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

The domain refers to all values of x for which the function is defined.

The function is defined for

[tex]x^4+x^3-4x^2-4\ne0[/tex]

This implies that;

[tex]x\ne -2.69,x\ne 1.83[/tex]

b) The vertical asymptotes are x-values that makes the function undefined.

To find the vertical asymptote, equate the denominator to zero and solve for x.

[tex]x^4+x^3-4x^2-4=0[/tex]

This implies that;

[tex]x= -2.69,x=1.83[/tex]

c) The roots are the x-intercepts of the graph.

To find the roots, we equate the function to zero and solve for x.

[tex]\frac{x^2-4}{x^4+x^3-4x^2-4}=0[/tex]

[tex]\Rightarrow x^2-4=0[/tex]

[tex]x^2=4[/tex]

[tex]x=\pm \sqrt{4}[/tex]

[tex]x=\pm2[/tex]

The roots are [tex]x=-2,x=2[/tex]

d) The y-intercept is where the graph touches the y-axis.

To find the y-inter, we substitute;

[tex]x=0[/tex] into the function

[tex]f(0)=\frac{0^2-4}{0^4+0^3-4(0)^2-4}[/tex]

[tex]f(0)=\frac{-4}{-4}=1[/tex]

e) to find the horizontal asypmtote, we take limit to infinity

[tex]lim_{x\to \infty}\frac{x^2-4}{x^4+x^3-4x^2-4}=0[/tex]

The horizontal asymtote is [tex]y=0[/tex]

f) The greatest common divisor of both the numerator and the denominator is 1.

There is no common factor of the numerator and the denominator which is  at least a linear factor.

Therefore the function has no holes.

g) The given function is a proper rational function.

There is no oblique asymptote.

See attachment for graph.

Answer:

12 2/6

Three times four is 12.

two times one is 2.

two times three is 6.

Answer:

3 1/2 x 4 2/3 = 98/6

*This is without simplest form*

In simplest form:

3 1/2 x 4 2/3 = 16 1/3

Answer:

9

Step-by-step explanation:

✯Hello✯

↪  There is a quadratic formula that needs to be used. 4ac and b^2 are a part of this formula

↪  First we need to work out the Values for A and B and C

A = 1

B = 5

C= 4

↪  now we can substitute this into what the equation is asking. (5)^2-4(1)(4)=9

↪  The answer is 9

↪   I hope this helps you :)

❤Gianna❤

Answer:

A

All real numbers

Step-by-step explanation:

Given in the question a graph

To find the range of graph

The range is the set of possible output values, which are shown on the y-axis.

We can see in the graph that for negative values of x it have positive values, zero and negative values of y.

The graph extends vertically from (-∞,∞), along the y axis. So the range of the function shown in the graph is (-∞,∞).  

Hence, it is concluded that range is All real numbers

Final answer:

The maximum height of the twig is approximately 0.570 meters. The twig will hit the ground approximately 0.683 seconds after being flicked up.

Explanation:

To find the maximum height of the twig, we can use the kinematic equation for vertical motion. The equation is given by:

h = v0y2 / (2g)

Where:

h is the maximum height

v0y is the initial vertical velocity

g is the acceleration due to gravity (approximately 9.8 m/s2)

Plugging in the values, we have:

h = (11 ft/s)2 / (2 * 9.8 m/s2)

Converting the initial velocity from feet per second to meters per second:

11 ft/s * 0.3048 m/ft = 3.35 m/s

Substituting the values into the equation:

h = (3.35) / (2 * 9.8)

Simplifying the equation:

h = 0.570 m

Therefore, the maximum height of the twig is approximately 0.570 meters.

To find when the twig will hit the ground, we can use the equation for time in vertical motion:

t = 2 * v0y / g

Plugging in the values, we have:

t = 2 * 3.35 m/s / 9.8 m/s2

Simplifying the equation:

t = 0.683 s

Therefore, the twig will hit the ground approximately 0.683 seconds after being flicked up.

Cost of chicken wings at Buffalo Bills = 8 wings for $7

Cost of 1 wing at Buffalo Bills = [tex]\frac{7}{8} =0.875[/tex]

Cost of chicken wings at Buffalo Mild Wings = 12 wings for $10

Cost of 1 wing at Buffalo Mild Wings = [tex]\frac{10}{12}= 0.833[/tex]

Cost of chicken wings at Wingers = 20 wings at $17

Cost of 1 wing at Wingers = [tex]\frac{17}{20}= 0.850[/tex]

Hence, comparing all the three costs per wing, we can see that Buffalo Mild Wings is serving chicken wings at lowest price of $0.833 per wing.

Answer:

It is B

Step-by-step explanation:

3336_____________________________

Answer:

A = 204  

Step-by-step explanation:

The formula for the area of a parallelogram is

A = bh

Data:

   P = 60

   h = AX =12

MX = 5

Calculation:

MA² = MX² + h² = 5² + 12² = 25 + 144 = 169

MA  = √169 = 13

P = 2MA + 2MH =  2MA + 2(MX + HX) = 26 + 2(5 + HX) = 60

 26 + 10 + 2HX = 60

         36 + 2HX = 60

                 2HX = 24

                   HX = 12

b = MH = MX + HX  = 5 + 12 = 17

A = bh =17 × 12 = 204

The area of the parallelogram is 204.

See the attached picture:

Answer:

This is correct PEMDAS

Step-by-step explanation:

Parentheses

Exponents

Multiplication/Division

Addition/Subtraction

Answer:

Cubic yards of dirt needed for project = [tex]1\frac{7}{9}[/tex] cubic yards

Cost of Project = About $44.44

Step-by-step explanation:

To find number of cubic yards of dirt needed, we need to find the volume.

Rectangular Prism Volume = length * width * depth

Note: Length is 9ft, width is 16ft, depth is 4 inches. We need to change depth to ft. So 4 inches = [tex]\frac{1}{3}[/tex] feet.

Now finding the volume (in cubic ft) =  [tex]9*16*\frac{1}{3}=48[/tex]

We know 3 feet is  1 yard. To convert cubic feet to cubic yards, we have to divide it by (3)^3 = 27. Hence:

[tex]\frac{48}{27}=\frac{16}{9}[/tex] cubic yards

* Since dirt is $25 per cubic yard, to find cost, we multiply 25 by 16/9. Hence

Cost of Project = 25 * 16/9 = 400/9 = $44.44

Collin needs to buy 1.76 cubic yards of dirt to fill his 9ft by 16ft garden bed to a depth of 4 inches, and the total cost for the dirt will be $44.

To calculate the cubic yards of dirt Collin needs for his 9ft by 16ft garden bed at a depth of 4 inches, we must first convert the dimensions to consistent units and then find the volume. One yard is equivalent to 3 feet, so the bed has dimensions of 3 yards by 5.33 yards (since 9ft / 3 = 3 yards and 16ft / 3 ≈ 5.33 yards). The depth must also be converted from inches to yards: 4 inches is equal to 4/36 or approximately 0.11 yards (because there are 36 inches in a yard).

Now we'll calculate the volume in cubic yards: 3 yards * 5.33 yards * 0.11 yards = 1.76 cubic yards. Next, to find the total cost, we multiply the volume by the cost per cubic yard: 1.76 * $25 = $44. So, Collin will need to pay $44 to fill his garden bed with dirt.

Here are some of the conversions and calculations used:

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Answer:

Here is what i can do i can not exactly tell you the answer but I can help you understand to find the answer because were here to help each other but telling each other the answers is not the key because on an real test you cant use Brainly .com to help you find the answer because they need to see what you know not the internet.

Step-by-step explanation:

The correct option is A) (-1, 1)

See the image

Answer:

P = 0.3462

Step-by-step explanation:

See attached photo for work.

We have a sample mean of 35, a sample standard deviation of 8, and a sample size of 36.  

You need to see that the probability of the number of items you can deliver in a day is between 32.6 and 34.6.

The answer is 0.3462, so there's about a 34.62% chance that you will deliver an average of 32.6 to 34.6 packages per day.

The probability a random sample of 36 days would have a mean between 32.6 and 34.6 is 0.3462

Mean is actually the average of all the observations.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean

A z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

According to the problem,

Here we need to find  P(32.6 < x < 34.6)

[tex]z_{32.6}[/tex] = [tex]\frac{32.6-35}{\frac{8}{\sqrt{36} } }[/tex] = - 1.80

[tex]z_{34.6} = \frac{34.6-35}{\frac{8}{\sqrt{36} } }[/tex] = -0.30

∴ P(32.6 < x < 34.6) = P ( -1.80 < z < -0.30)

= P(z< -0.30) - P(z < -1.80)

= 0.3821 - 0.0359 = 0.3462

∴  The required probability is 0.3462

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QUESTION 1

The given logarithm is

[tex]8\log_g(x)+5\log_g(y)[/tex]

We apply the power rule of logarithms; [tex]n\log_a(m)=\log_(m^n)[/tex]

[tex]=\log_g(x^8)+\log_g(y^5)[/tex]

We now apply the product rule of logarithm;

[tex]\log_a(m)+\log_a(n)=\log_a(mn)[/tex]

[tex]=\log_g(x^8y^5)[/tex]

QUESTION 2

The given logarithm is

[tex]8\log_5(x)+\frac{3}{4}\log_5(y)-5\log_5(z)[/tex]

We apply the power rule of logarithm to get;

[tex]=\log_5(x^8)+\log_5(y^{\frac{3}{4}})-\log_5(z^5)[/tex]

We apply the product to obtain;

[tex]=\log_5(x^8\times y^{\frac{3}{4}})-\log_5(z^5)[/tex]

We apply the quotient rule; [tex]\log_a(m)-\log_a(n)=\log_a(\frac{m}{n} )[/tex]

[tex]=\log_5(\frac{x^8\times y^{\frac{3}{4}}}{z^5})[/tex]

[tex]=\log_5(\frac{x^8 \sqrt[4]{y^3} }{z^5})[/tex]