Circle the value of the digit 5 in
256 934

Hello,

Answer: We have f(x) = g(x) when x ≈ 1

(a) x = 1, is an approximate solution for f(x) = g(x).

Here, we have,

given that,

A graph of two functions is shown

f(x) and, g(x)

now, we have,

The graph has two functions, which are f(x) and g(x) and a graph.

In the graph, we can follow their intersections.

Those would be the parts of the line that would make the functions to have the same value.

The first intersection is really close to 1,

and second is very unclear, most likely beyond -2.5.

Since the highest number is 1 and the intersection is very close to 1,

we have to go with the approximate answer.

We have f(x) = g(x) when x ≈ 1.

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Answer:

\(16.59 \£\)

Step-by-step explanation:

Given: £1 = €1.11

To find: Number of £ in €18.42

Solution:

Currency unit such as the dollar, pound, rupee are in the form of a coin or banknote. It is used as medium of exchange for purchasing goods and services. Currency unit is issued by a country's central bank.

£ denotes sign of pound and € denotes euro sign.

As £1 = €1.11, € =  \(\frac{1}{1.11}\)£

Number of £ in €18.42 = \(\frac{18.42}{1.11}=16.59 \£\)

11 years is the sum of Joey's two digits the next time his age is a multiple of Zoe's age.

Assume Chloe is c years old today, and Joey is c+1 years old today. Chloe and Zoe will be n+c and n+1 years old after n years.

Given,

(n + c) ÷ (n + 1) = 1 + ((c - 1) ÷ (n + 1))

For 9 non-negative integers, n is an integer. As a result, c - 1 has 9 positive divisors. c-1's prime factorization is either \(p^8\) or p²q². Because c - 1 < 100, the only possible solution is c - 1 = 2² × 3² = 36, from which c = 37. We may deduce that Joey is 38 years old today.

Assume Joey's age is a multiplier of Zoe's age after k years, resulting in Joey and Zoe being k + 38 and k + 1 years old, correspondingly.

Given,

(k + 38) ÷ (k + 1) = 1 + ((38 - 1) ÷ (k + 1))

For some positive integers, k is an integer. As 37 is divisible by k + 1, the only possible solution is k = 36. Infer that Joey will be k + 38 = 74 years old at that time, yielding the value 7 + 4 = 11.

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\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{36^3}{12^5}}\)

\(\mathsf{= \dfrac{36\times36\times36}{12\times12\times12\times12\times12}}\)

\(\mathsf{= \dfrac{1,296\times36}{144\times144\times12}}\)

\(\mathsf{= \dfrac{46,656}{20,736\times12}}\)

\(\mathsf{= \dfrac{46,656}{248,832}}\)

\(\mathsf{\mathsf{= \dfrac{46,656\div 15,552}{248,832 \div 15,552}}}\)

\(\mathsf{= \dfrac{3}{16}}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\ \huge\boxed{\mathsf{\dfrac{46,656}{248,832}\ or\ \dfrac{3}{16}}}\huge\checkmark\\\\\ \huge\boxed{\uparrow}}\huge\text{ Either of those should work because they are}\\\huge\text{equivalent to each other :) }} \huge\boxed{\uparrow}}\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer: 46656/248832

Step-by-step explanation:

Potentiation in fractions.

Power is made up of a base and an exponent. The exponent indicates how many times the base will be multiplied by itself.

\(\boldsymbol{\sf{\dfrac{36^3}{12^5}=\dfrac{36\times36\times36}{12\times12\times12\times12\times12 }=\dfrac{46656}{248832 } }}\)

36³/12⁵ = 46656/248832

The solutions of the system are x = 1/4 and y = 6.

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Given:

The system of equations,

8x - 1/3y = 0 {equation 1}

And 12x + 3 = y  {equation 2}.

Substituting the value of the y from equation 2 to equation 1,

we get,

8x - 1/3(12x + 3) = 0

8x - 4x - 1 = 0

4x = 1

x = 1/4

And y = 6

Therefore, the solutions are x = 1/4 and y = 6.

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Answer:

Alan=$45

Deon=$15

Elsa=$22

Step-by-step explanation:

Let

Elsa=x

Deon=x-7

Alan=3(x-7)

Total=$82

x+(x-7)+3(x-7)=82

x+x-7+3x-21=82

5x-28=82

5x=82+28

5x=110

x=110/5

=22

Elsa=x=$22

Deon=x-7

=22-7

=$15

Alan=3(x-7)

=3(22-7)

=3(15)

=$45

The sum of five plus three = 5 + 3 = 8.

The number of different 4-person committees that can be chosen from a group of 100 members is 94,109,400.The correct answer is option D.

To determine the number of different 4-person committees that can be chosen from a group of 100 members, we can use the combination formula.

The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!),

where n is the total number of items and r is the number of items to be selected.

In this case, we have n = 100 (total number of members) and r = 4 (number of members to be selected).

Using the combination formula, we can calculate the number of different 4-person committees:

C(100, 4) = 100! / (4! * (100 - 4)!)

Simplifying the expression:

C(100, 4) = 100! / (4! * 96!)

The factorial notation represents the product of all positive integers up to the given number. For example, 4! (read as "4 factorial") is equal to 4 * 3 * 2 * 1.

Calculating the expression, we find that C(100, 4) = 94,109,400.

Therefore, the correct answer is: D. 94,109,400.

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59

Step-by-step explanation:

7 × 5 = 35

6 × 4 = 24

35 + 24 = 59

because 4 + 5 is 9 and 3 + 2 is 5

so 59

Answer:

59

Step-by-step explanation:

Follow PEMDAS

P=Parenthesis

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtracting

So, multiply 7 times 5, then add 6 times 4.

35+24=59

Using exponential function it will take approximately 2.6 years for the population to reach 26676

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.

The formula given in this question is

P(t) = 988(3.5)ˣ

The time it will take to reach a population of 26676 is

26676 = 988(3.5)ˣ

x = 2.6 years

It will take approximately 2.6 years

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Answer:

\(f(x) = (x+1)(x-2)(x+4)\)

        \(= (x^{2} +x-2x-2)(x+4)\\\\= (x^{2} -x-2)(x+4)\\\\= x^{3}-x^{2}-2x+4x^{2} -4x-8\\\\= x^{3} +3x^{2} -6x-8\)

Answer:

(i) ABE = 36 \(cm^2\)

   BCDE = 96 \(cm^2\)

Step-by-step explanation:

answer for part ( i )

ABE ⇒

base × height × \(\frac{1}{2}\) = area of triangle

→ 6 × 12 × \(\frac{1}{2}\) =36

BCDE ⇒

length × width = area of rectangle

→ 8 × 12 = 96

Recall the following identities:

sin²(x) = (1 - cos(2x))/2

cos²(x) = (1 + cos(2x))/2

Then

sin²(π/8) = (1 - cos(π/4))/2 = (1 - 1/√2)/2

cos⁴(3π/8) = (cos²(3π/8))² = ((1 + cos(3π/4))/2)² = ((1 - 1/√2)/2)²

and so

sin²(π/8) - cos⁴(3π/8) = (1 - 1/√2)/2 - ((1 - 1/√2)/2)²

… = (1 - 1/√2)/2 • (1 - (1 - 1/√2)/2)

… = (2 - √2)/4 • (1 - (2 - √2)/4)

… = (2 - √2)/16 • (4 - 2 + √2)

… = (2 - √2)(2 + √2)/16

… = (4 - 2)/16

… = 1/8

Answer:

length is 9.375 inches

Step-by-step explanation:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape

so

new length is l then, 1/2 = l/18.75 = > l = 18.75/2 = 9.375

The recipe for punch calls for 3 cups of lemonade per batch. Corrina wants to make 20 batches of punch. there are 60 cups of lemonade in 20 batches of punch.

  A batch requires 3 cups of lemonade. The number of cups in twenty batches of punch can be calculated by multiplying the number of cups required per batch by the number of batches made.

          Hence, 20 × 3 = 60 cups of lemonade required in 20 batches of punch is 60 cups.

          Therefore, there are 60 cups of lemonade in 20 batches of punch.

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Answer:

A.

Step-by-step explanation:

It shows the slope, since it's weight it's continuous.

Answer:

26 units

Step-by-step explanation:

If point F is on the line segment EG, then EF+FG = EG

Given

FG=8,

EF=2x+4

EG=4x−10

Substitute the given values into the formula;

2x+4+8 = 4x−10

2x+12 = 4x-10

collect like terms

2x-4x = -10-12

-2x = -22

x = 22/2

x =11

Since EF = 2x+4

EF = 2(11)+4

EF = 22+4

EF = 26

Hence the numerical length of EF is 26 units

A police officer wants to be equidistant from both streets. He should be on a perpendicular bisector. Therefore, option C is the correct answer

Given that, a police officer is parked in a supermarket parking lot located at the junction of two streets. He wants to be equidistant from both streets.

A perpendicular bisector is a line that bisects a line segment in two equal parts and makes an angle of 90° at the point of intersection. In other words, we can say that a perpendicular bisector divides a line segment at its midpoint making an angle of 90°.

A) Angle bisector: The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

B) An altitude: Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it.

C) Perpendicular bisector: A line that bisects a line segment in two equal parts.

D) Median: The middle number; found by ordering all data points and picking out the one in the middle.

A police officer wants to be equidistant from both streets. He should be on a perpendicular bisector. Therefore, option C is the correct answer

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The sample size that should be used in this study is approximately 93.

To determine the sample size for the study, we can use the formula:

n = (Z * σ / E)^2,

where n is the sample size, Z is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the maximum allowable error or margin of error.

In this case, the researchers want the average time to fix a rivet to be off by at most 3.5 seconds, which can be considered as the margin of error (E).

Given that the confidence level is 95%, the corresponding z-score (Z) is 1.96. The population variance (σ^2) is known to be 55 seconds^2.

Plugging these values into the formula, we can calculate the sample size:

n = (1.96 * sqrt(55) / 3.5)^2,

where sqrt denotes the square root.

Evaluating the expression:

n ≈ 92.607.

Sine the sample size should be a whole number, we can round up the value to obtain the final sample size.

Therefore, the recommended sample size for the study is approximately 93.

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Answer:

b d is the answer and see in book

Answer:

0 and 4

1 and 3

2 and 2

3 and 1

4 and 0

Step-by-step explanation:

If you need 4 gifts and you want to spend less than $40, then you could buy

1 cd+ 3 dvds for $25

2 cds + 2 dvds for $24

3 cds + 1 dvd for $20

4 cds and 0 dvds for $16

0 cds and 4dvds for $32

Any of these solutions will work

The least number of blocks with which he can do is 168 blocks.

What is the least Common Multiple (LCM)?

The Least Common Multiple (LCM) is a method for determining the smallest common multiple of two or more numbers. A common multiple is a number that is the product of two or more numbers.

Least number of blocks = LCM of 6cm, 7cm, and 8cm.

Multiples of 6 - 6,12,18,24,30,36,42,48,54,60

Multiples of 7 - 7,14,21,28,35,42,49,56,63,70

Multiples of 8 - 8,16,24,32,40,48,56,64,72,80

Common Multiples - 168

Least Common Multiple - 168

So the least number of blocks with which he can do is 168 blocks.

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The correct theorem or definition that justifies the given statement for the diagram is; Definition of a Right angle Triangle

We are given that;

∠MRS ≅ ∠MRO

Now, what that means is that ∠MRS is congruent to ∠MRO. Thus, to understand this concept of equality or congruence, we can prove it since  from the given image, we see that;

m∠MRS = m∠MRO = 90°

Since they are both right angles then we can say that the correct theorem is the definition of a right angle triangle.

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Answer:

7+3x=-11 and X= 1

7+3(-1)=-11

4=-11

Step-by-step explanation: I think this is it sorry if I’m wrong

Answer:

8%

Step-by-step explanation:

78.84 - 73 = 5.84

Tax = $5,84

5.84 / 73 = 0.08

0.08 * 100 = 8%

Answer:

8%

Step-by-step explanation:

1. Set up the equation represented

\($78.84 = \frac{x}{100}(73) + 73\)

x is the sales tax percentage. hence, we have to solve for x.

\($78.84 = \frac{x}{100}(73) + 73\)

\($78.84 = \frac{73x}{100} + 73\)

\(5.84 = \frac{73x}{100}\) . . . . . . . . . . . . . . subtract both sides of the equation by 73

\(584 = 73x\) . . . . . . . . . . . . . . multiply both sides by 100

\(8 = x\) . . . . . . . . . . . . . . . . . . divide both sides by 73

∴ There was an 8% sales tax on the ceramic vase.

PLEASE MARK BRAINLIEST IF THIS HELPED YOU. THANKS.

Answer: All real numbers :)

Answer:

22 dollars

Step-by-step explanation:

The missing length in the triangle is 56 cm.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Let us form a proportional equation to find the value of missing length

p/21 = 24/9

Apply cross multiplication

9p=21×24

9p=504

Divide both sides by 9

p=56

Hence, the missing length in the triangle is 56 cm.

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A subspace V in linear algebra is a portion of a vector space that is closed under scalar and vector multiplication.

To put it another way, a subspace is a group of vectors that meet particular criteria and are contained within a vector space.

The given subspace V of R³ is given as:

V {(C) X2 0} x₁+3x₂+2x3 = 0.

We have to find the basis of V. The standard basis vectors for R³ are

e₁ = (1, 0, 0),

e₂ = (0, 1, 0),

e₃ = (0, 0, 1).

Let's find a basis for the given  :  

x₁ + 3x₂ + 2x₃ = 0

x₁ = -3x₂ - 2x₃

Let's take x₂ = 1, and x₃ = 0, then we get

x₁ = -3. So the first vector is (-3, 1, 0). Now, let's take

x₂ = 0 and

x₃ = 1, then we get

x₁ = -2.

So the second vector is (-2, 0, 1). Thus, the basis of V is (-3, 1, 0), (-2, 0, 1).

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