What number would correctly replace the G?

Answer:

See below

Step-by-step explanation:

Sum of 18 and 6 = 24

1/4 of the sum of 18 and 6 is asking you what is the result of dividing 24 by 4

In  a way you can think of it as a fractional question but the answer is a whole number

[tex]\dfrac{1}{4} \cdot (18 + 6) = \dfrac{1}{4} \cdot 24 = \dfrac{24}{4} = 6\\[/tex]

Answer:

4) 7 SqrRt( 5 )

5) 2 SqrRt( 10 )

6) 8 SqrRt( 6 )

the answer is 40780

I would show you my calculations  but I don't know how to add pictures to your answer .sorry

I hope that helped

Answer:

[tex]\huge\boxed{\sf -3x\² + x + 5}[/tex]

Step-by-step explanation:

g(x) = 4x + 5

f(x) = -3x² - 3x

= 4x + 5 + (-3x² - 3x)

= 4x + 5 - 3x² - 3x

= 4x - 3x + 5 - 3x²

= x + 5 - 3x²

[tex]\rule[225]{225}{2}[/tex]

The total amount y collected from x students is y = 10x.

The graph is given below.

An expression contains terms with addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The club is charging $10 per student that attends.

This means,

Number of students = x

The total amount y collected from x students.

y = 10x

The graph is given below.

Thus,

y = 10x is the total amount y collected from x students is

The graph is given below.

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The number of crickets Great fed last week to Lizzy is 56.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets.

Last week, Greta fed Draco 77 crickets.

Let the number of crickets Great fed last week be x.

Now, 11:8::77:x

11x=77×8

x=7×8

x=56

Therefore, the number of crickets Great fed last week to Lizzy is 56.

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"Your question is incomplete, probably the complete question/missing part is:"

Greta has two pet lizards, Draco and Lizzy. For every 11 crickets Greta feeds Draco, she always feeds Lizzy 8 crickets. Last week, Greta fed Draco 77 crickets. How many crickets did Greta feed Lizzy?

Answer:

Step-by-step explanation:

.....-_-.....-__-....-___-_--____--_--_____--_--______________--_________________-u streched ma face dude.

Step-by-step explanation:

ABC and ADE are similar triangles.

that means they have the same angles, and there is one scaling factor for all sides from one triangle to the other.

so, we see that AB = 2, AD = 2+1 = 3

the scaling factor f from AB to AD is then

AB × f = AD

2 × f = 3

f = 3/2

the same scaling factor now applies between BC and DE (= x).

BC × f = x

1 × 3/2 = x

x = 3/2 = 1.5

The probability of selecting a student who is wearing a yellow shirt is 36 %

The total number of students is 45 students and out of these, 3 / 7 are wearing blue shirts while 2 / 9 are wearing red shirts.

This means that the number of students wearing yellow is:

= 45 - ( 45 x 3 / 7 ) - ( 45 x 2 / 9 )

= 45 - 19 - 10

= 16 students

The probability of selecting a student who is wearing yellow is :

= 16 / 45

= 36 %

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The full question is:

A class has 45 students of the students are wearing 3/7 blue shirts, of

them are 2/9  wearing red shirts, and the rest are wearing yellow shirts.

What is the probability of selecting a student who is wearing a yellow

shirt?

A solution to this system of linear equations is (1, -2).

In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

4x - 2y = 8     ......equation 1.

y = -2     ......equation 2.

Next, we would use an online graphing calculator to plot the given function as shown in the graph attached below.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant IV and it is given by the ordered pair (1, -2).

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Answer:

Step-by-step explanation:

if the sum of two consecutive even numbers is 42 find the number

42 - 2 = 40                       remove the difference (2)

40 : 2 = 20                       find the smallest number

20 + 2 = 22                      find the largest number

------------------------------------

(20 + 22 = 42)                

After finding the sides of the triangle using sine law, we found that the height of the flagpole is found to be 110.89 ft.

What is meant by sine law?

The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.

The side or unknown angle of an oblique triangle is found using the law of sine. Any triangle that is not a right triangle is referred to as an oblique triangle. At least two angles and their corresponding side measurements should be used at once for the sine law to function.

Given,

 The distance between two observers = 600 ft

The angle of elevation of the first observer = 19°

The angle of elevation of the second observer = 21°

We are asked to find the height of the flagpole.

The figure is given below.

There are 2 right triangles, ΔABD and ΔCBD.

We will start with ΔABC.

∠B = 180 - (∠A+∠C) = 180 - (21+19) = 140

Now using sine law, we can find lengths a and b.

According to sine law,

b/sin21 = a/sin 19 = 600/sin 140

From this,

b/sin 21 = 600/sin 140

b/0.36 = 933.43

b = 336.03ft

Also,

a/sin 19 = 600/sin 140

a/0.33 = 933.43

a = 308.03ft

Now using ΔABD,

sin 21  =h/a

0.36 = h/308.03

h = 110.89 ft

Therefore after finding the sides of the triangle using sine law, we found that the height of the flagpole is found to be 110.89 ft.

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Answer:

280

Step-by-step explanation:

Give me a moment, I am still gathering my explanation

Answer:

18.84

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We start by trying out option A

2(1) + 3(3) = 9

1 + 5(3) = 15

9 and 15 are not equal to one another.

This means it has to be the other option, B.

The money needs to be in the account for 5 years on simple interest at the rate 5% to earn R500.

The interest on a loan or principal amount can be easily calculated using simple interest. Simple interest is a notion that is employed across a wide range of industries, including banking, finance, automobiles, and more. When you pay back a loan, the monthly interest is deducted first, and any remaining funds are applied to the principle.

Let us suppose the time period as x.

The simple interest is given as:

SI = PRT/100

Where,

SI = Simple Interest = 500

P = Principal = 2000

R = Rate = 5%

T = x

Substituting the values:

500 = (2000)(5)(x) / 100

500 = 100x

x = 5 years

Hence, the money needs to be in the account for 5 years on simple interest at the rate 5% to earn R500.

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The total length of the two welded together is 26ft.

The two main arithmetic operations that we learn to add and subtract two or more integers or other mathematical values are addition and subtraction. Division and multiplication are the other two fundamental mathematical operations. The addition symbol is the plus sign (+), and the subtraction symbol is the minus sign (-). (minus sign).

Given that the length of the two pieces of the pipe is 23ft and 3ft.

The total length of the two welded together is:

23 + 3 = 26ft

Hence, the total length of the two welded together is 26ft.

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In 1798, the first vaccination (for small pox) was discovered. The most notable achievement of these efforts has been the elimination of smallpox sickness from the world.

Hence, option (c) is correct choice.

In 1721, Lady Mary Wortley Montagu introduced smallpox vaccination to Europe by requesting that her two children be immunised against the disease, as she had seen done in Turkey. Dr. Edward Jenner developed the world's first effective vaccination. He discovered that those who had cowpox were resistant to smallpox.

Edward Jenner, a rural doctor from Berkeley (Gloucestershire), England, conducted the world's first vaccine in 1796. Jenner injected an eight-year-old kid, James Phipps, with pus from a cowpox lesion on a milkmaid's hand.

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Answer:

To find the number of courts with doubles matches, we need to determine the total number of players playing doubles. If each court with a doubles match has 4 players, then the total number of players playing doubles would be 4 times the number of courts playing doubles.

Since there are 28 players in total, and each court with a singles match has 2 players, the number of players playing singles would be 28 - 4x, where x is the number of courts playing doubles.

Since each court with a singles match has 2 players, the number of courts playing singles would be 28/2 = 14.

So, 28 - 4x = 14, and solving for x, we get x = 7.

Therefore, there are 7 courts with doubles matches and 14 courts with singles matches.

Answer:

Step-by-step explanation:

you first take A15 and square it. Then you take B20 and square it also. Then you add them together and that is your answer. the hypotenuse of a triangle.

Answer: Side length C will be 25

Step-by-step explanation:

C^2 = A^2+B^2

15^2+20^2=C^2
225+400=625

Take square root of 625 to get side C

The perimeter of the rectangle in the given diagram is: D. 42 units.

In order to determine the perimeter of this rectangle, we would have to find the length of the third side of the right-angled triangle by using Pythagorean's theorem. Mathematically, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the side lengths of a right-angled triangle.

9² + b² = 15²

81 + b² = 225

b² = 225 - 81

b = √144

b = 12 units.

Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;

P = 2(L + W)

Where:

P = 2(9 + 12)

P = 42 units.

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The fraction that is the ratio of the shaded area of the circle to the area between the two squares is (π−2)/2.

A fraction is a mathematical expression that represents a part or a proportion of a whole.

Let us assume that the radius of the circle is 'r' units. Therefore, the diameter of the circle is 2r units. The diagonal of the inner square is equal to the diameter of the circle, which is 2r units. Hence, the side of the inner square is r√2 units.

Now, let's consider the area of the circle. The formula for the area of a circle is

=>  A=πr².

Therefore, the area of the circle is πr².

The area between the two squares is the difference between the area of the outer square and the area of the inner square. The area of the outer square is

=> (2r)²=4r²,

and the area of the inner square is

=> (r√2)²=2r².

Hence, the area between the two squares is

=> 4r²−2r²=2r².

The shaded area of the circle is the area inside the circle but outside the inner square. We can find this area by subtracting the area of the inner square from the area of the circle. Therefore, the shaded area of the circle is

=> πr²−2r²=(π−2)r².

Now, let's find the ratio of the shaded area of the circle to the area between the two squares. We can express this ratio as a fraction. Thus,

ratio = (π - 2)r² / 2r

We can simplify this fraction by canceling out the common factor r^2 in both the numerator and denominator. Thus,

ratio = (π - 2) / 2

This fraction is closest to the ratio of the shaded area of the circle to the area between the two squares.

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The value of the shortest of the three side lengths is 3 inches.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The lengths of the three sides of a triangle (in inches) are consecutive integers.

The three sides are x, x+1 and x+2 which are consecutive.

We know that perimeter of a triangle is the sum of the three sides of a triangle.

Add the three Consecutive sides to find the perimeter.

Perimeter of triangle=x+x+1+x+2

The perimeter of triangle is 27 inhces.

27=3x+3

Substitute 3 from both sides

24=3x

Divide by 3 on both sides

8=x

Hence, the value of the shortest of the three side lengths is 3 inches.

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With a plane containing 40 lines, no 2 of which are parallel , here are 43 points where exactly 2 lines intersect.

In a plane that contains 40 lines, we are asked to find the number of points where exactly 2 lines intersect. Let's call this number "x".

Since every line intersects exactly 2 points, the total number of line intersections is equal to 2x. In other words, if we add up the number of intersections at each point, the total number should equal 2x.

The problem states that there are 3 points where exactly 3 lines intersect, 4 points where exactly 4 lines intersect, 5 points where exactly 5 lines intersect, and 6 points where exactly 6 lines intersect. At the same time, it states that there are no points where more than 6 lines intersect.

To calculate the total number of intersections, we need to multiply the number of lines that intersect at each point by the number of points, and then add them up. In mathematical terms:

2x = 3 * 3 + 4 * 4 + 5 * 5 + 6 * 6

Expanding the right side of the equation:

2x = 9 + 16 + 25 + 36

= 86

Dividing both sides of the equation by 2:

x = 43

So there are 43 points where exactly 2 lines intersect.

This is because at each point where exactly 2 lines intersect, the number of intersections is equal to the number of lines. In total, these 43 points account for 86 line intersections, which is half of the total number of line intersections in the plane.

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Answer:

7

Step-by-step explanation:

35-8-4-2=21

21/3=7

Answer:

7 pounds

Step-by-step explanation:

8+4+2=14

35-14=21

21/3=7

The correct option is a. The equation used to find Vanessa's age is v + 2 = 32.

A mathematical statement known as an equation utilises the equals sign to demonstrate the equality of two expressions. It may be used to address a variety of issues and can contain both numbers and variables. Algebraic operations including addition, subtraction, multiplication, division, and exponentiation are frequently used in equations.

In the given question, Vanessa's age may be calculated using the equation a. v+2=32. This equation shows that Vanessa's age plus 2 equals 32, implying that Vanessa's age is 30. We may solve this equation by removing 2 from both sides, yielding v=30. This equation is valid for determining Vanessa's age because it specifies that Vanessa's age plus Monique's age equals 32.

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Answer:139.33 or 139 ft high

Step-by-step explanation: since building A is three times as high as building B, we can use the equation 418/3=B, which results in 139.33, and if rounding it needed you could round it to 139

We can say with 95% confidence that the true proportion of applicants accepted by Bridgeton University lies between 0.354 and 0.430.

What is confidence interval?

A confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain degree of confidence. It is an interval estimate computed from a sample of data and is used to describe the uncertainty or variability associated with a sample estimate of a population parameter.

To calculate the confidence interval, we need to first find the point estimate of the proportion of applicants accepted by Bridgeton University:

Point estimate = number of applicants accepted / total number of applicants = 392 / 1000 = 0.392

The standard error of the proportion can be calculated as:

SE = sqrt(p*(1-p)/n), where p is the point estimate and n is the sample size.

SE = sqrt(0.392*(1-0.392)/1000) = 0.0194

To find the 95% confidence interval, we can use the formula:

CI = point estimate +/- z*SE, where z is the z-score for a 95% confidence level (1.96).

CI = 0.392 +/- 1.96*0.0194

CI = (0.354, 0.430)

Therefore, we can say with 95% confidence that the true proportion of applicants accepted by Bridgeton University lies between 0.354 and 0.430.

To evaluate whether Bridgeton's claim seems accurate, we can compare the confidence interval with the claimed acceptance rate of 42%. We can see that the claimed acceptance rate of 42% does not fall within the confidence interval, which suggests that the claim may not be accurate. However, it is important to note that this sample may not be representative of the entire population of applicants to Bridgeton University, and further investigation may be needed to confirm the accuracy of the claim.

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The amount that needs to be invested at the interest rate of 4% compounded continuously is P = $8932.461.

Compound interest, also known as interest on principal and interest, is the practise of adding interest to the principal amount of a loan or deposit. It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest. In finance and economics, compound interest is common.

Given that the interest is compounded continuously.

For the given situation the formula of compound interest is:

[tex]A = Pe^{rt}[/tex]

where, A is the amount = $12300

P is the principal amount

r is the rate = 4% = 0.04

t is the time = 8 years

Substituting the values we have:

[tex]12300 = Pe^{(0.04)(8)}\\\\P = \frac{12300}{e^{(0.04)(8)}} \\\\P =8932.461[/tex]

Hence, the amount that needs to be invested at the interest rate of 4% compounded continuously is P = $8932.461.

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Type I error would be weather remains dry, but school is needlessly canceled. Type II error would be don't cancel school, but the snow storm hits. The correct option is B.

In hypothesis testing, the null hypothesis is the default assumption that is being tested. In this case, the null hypothesis is that the weather will remain dry. The school superintendent must decide whether to reject or accept this null hypothesis based on the evidence available.

There are two types of errors that can occur in hypothesis testing: Type I and Type II errors.

Type I error occurs when the null hypothesis is rejected, even though it is actually true. In other words, the school superintendent decides to cancel school due to a snowstorm, but the weather remains dry. This can result in unnecessary school closures, which can disrupt students, teachers, and parents' schedules.

Type II error occurs when the null hypothesis is accepted, even though it is actually false. In other words, the school superintendent decides not to cancel school because of the assumption that the weather will remain dry, but a snowstorm hits. This can put students, teachers, and parents in danger as they try to commute to school in hazardous conditions.

The consequences of a Type I error and a Type II error can be significant in this scenario. The school superintendent must weigh the potential risks of making each type of error to make the best decision for the safety and well-being of the school community.

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Complete question is:

A school superintendent must make a decision whether or not to cancel school because of a threatening snow storm. What would the results be of Type I and Type II errors for the null hypothesis: The weather will remain dry?

A. Type I error: don't cancel school, but the snow storm hits.

Type II error: weather remains dry, but school is needlessly canceled.

B. Type I error: weather remains dry, but school is needlessly canceled.

Type II error: don't cancel school, but the snow storm hits.

C. Type I error: cancel school, and the storm hits.

Type II error: don't cancel school, and weather remains dry.

D. Type I error: don't cancel school, and snow storm hits.

Type II error: don't cancel school, and weather remains dry.

E. Type I error: don't cancel school, but the snow storm hits.

Type II error: cancel school, and the storm hits.