help me with this please

Answer:

7x+10

Step-by-step explanation:

2x(3x)+1x(x+10)

6x+1x+10

7x+10

Answer: Yes, it is a function

Step-by-step explanation:

The angle in degrees is 873.1843.

Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).

According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.

Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.

Multiplying both sides of the equation by 180/π, we get:

θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843

Thus, the angle in degrees is 873.1843.

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Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.

Let's represent the unknown fraction as x. The ratio can be configured as follows:

x / (1/27) = (3/7) / (5/9)

To solve this proportion, we can cross-multiply:

(x * 5/9) = (3/7) * (1/27)

Simplifying the right side:

(x * 5/9) = 3/189

To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:

(x * 5/9) * (9/5) = (3/189) * (9/5)

Simplifying further:

x = 27/35

Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

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Answer:

the 40th number in the pattern is 9

Answer:

Option 2)

Step-by-step explanation:

In a function, any number can be an x-coordinate only once.

Option 1) The 2 appears twice as x.

Option 2) All x-coordinates are different.

Option 3) The 2 appears twice as an x-coordinate.

Option 4) The 3 appears twice as an x-coordinate.

Answer: Option 2)

, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Given here: The fraction 3/9

Now we can simplify the fraction further by dividing both the numerator and denominator by 3

let p=3/9

then p=3/3 / 9/3

       p= 1/3

Hence, The fraction equivalent to 3/9 with denominator 3 is the proper fraction p=1/3

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An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

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Answer:

6n+2

Step-by-step explanation:

Answer:

3) 5

Step-by-step explanation:

Sine = \(\frac{opposite}{hyphotenuse}\)

Sine 30 = \(\frac{x}{10}\)

sine of 30 is 0.5

0.5 = \(\frac{x}{10}\)

multiply 10 on both sides

0.5 x 10 = \(\frac{x}{10}\) x 10

5 = x

If G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.

The statement "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}" means that if G is a group with a prime number of elements, then the only subgroups of G are the trivial subgroup {1} and the group G itself.

In other words, there are no other proper subgroups of G besides these two.

The statement "A group G whose order is (p-1) where p is a prime number has a subgroup of order p if and only if G is cyclic" means that if G is a group with (p-1) elements, where p is a prime number, then G has a subgroup of order p if and only if G is a cyclic group.

In other words, if G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.

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a) The 65 in the equation, d = 65t, where d is the distance in miles and t is the time, is the speed of the car.

b) In 1.5 hours, the car will cover a distance of 97.5 miles.

c) At the speed of 65 miles per hour, the car will take 24 minutes to travel 26 miles.

The distance represents the length covered based on speed and time.

We compute distance as the product of speed and time.  

On the other, speed or time is the quotient of distance and time or speed.

Distance in miles in 1 hour, d = 65t

t = time

a) The formula for distance = speed x time

Since t is the time, 65 is the driving speed of the car.

b) Distance in 1.5 hours = 65(1.5) = 97.5 miles

c) At 65 miles per hour, the car will take 24 minutes to travel 26 miles (26/65 x 60).

Thus, there is a ratio relationship between distance, time, and speed.

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Answer:

d

Step-by-step explanation:

i did it on eduhguenity

The solutions which satisfy the equation A = 256ˣ are

Option B. 4⁴ˣ

Option D. 16²ˣ

Option E. 2⁸ˣ

What is an Equation?

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 A

Now , the value of A is given by A = 256ˣ

a)

The value of equation B = 8^2x

B = 8²ˣ

On simplifying the equation , we get

B = 8²⁽ˣ⁾

B = 64ˣ

And the value of B ≠ A

b)

The value of equation B = 4^4x

B = 4⁴ˣ

On simplifying the equation , we get

B = 4⁴⁽ˣ⁾

B = 256ˣ

And the value of B = A

c)

The value of equation B = (64^x)^2

B = (64ˣ)²

On simplifying the equation , we get

B = 64²⁽ˣ⁾

B = 4096ˣ

And the value of B ≠ A

d)

The value of equation B = (16^x)^2

B = (16ˣ)²

On simplifying the equation , we get

B = 16²⁽ˣ⁾

B = 256ˣ

And the value of B = A

e)

The value of equation B = 2^8x​

B = (2⁸)ˣ

On simplifying the equation , we get

B = 256⁽ˣ⁾

And the value of B = A

Hence , the equations which satisfy are

Option B. 4⁴ˣ

Option D. 16²ˣ

Option E. 2⁸ˣ

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The correct statement regarding the transformation is given as follows:

Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.

The true statements about the dilation are given as follows:

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:

k = 0.5.

The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.

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Answer:

m∠A  = 38/3

Step-by-step explanation:

Sum of 3 angles of a triangle = 180°

m∠D + m∠A + m∠B = 180°

Substituting values given for each angle

121 + 2x + (x + 40) = 180

121  + 3x + 40 = 180

3x + 161 = 180

3x = 180-161 = 19

x = 19/3

m∠A = 2x = 38/3

↪\( \huge\rm{answer: } \: \boxed{ \purple{24 }}\)

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

M(6)= {0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 ...}

M(8) = {0, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80...}

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

I hope you understood!✏

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

\( \huge\boxed{ \boxed{ \rm{Hope \: this \: helps }}}\)

Answer:

6=0,6,12,18,24,30,36,42,48,54,60

8=0,8,16,24,32,40,48,56,64,72,80

HCF=24,48

LCM=0,6,12,18,,30,36,42,48,54,60,8,16,24,32,40,,56,64,72,80

The calculated difference is -R18.20, which means the deposit at the branch is higher than the deposit at the ATM by R18.20

The simple interest formula is J = C ∙ i ∙ t, where J is interest, C is principal, i is interest rate, and t is time. To calculate the simple interest, just substitute the values ​​in the formula and perform the calculation.

Calculate the deposit:

\(D=R4.80 + 1.20% of R5,000\\=R4.80 + (1.20/100) * R5,000\\= R4.80 + R60\\= R64.80\)

Now, the deposit amount for the branch:

\(DB=R8.00 + 1.50% of R5,000\\= R8.00 + (1.50/100) * R5,000\\= R8.00 + R75\\= R83.00\)

The difference will be:

\(Difference = R64.80 - R83.00\\Difference = -R18.20\)

The calculated difference is -R18.20, which means the deposit at the branch is higher than the deposit at the ATM by R18.20. Therefore, John's statement is incorrect.

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Answer: 2048

Step-by-step explanation: 1. Write the exponential growth model.

The population of the town doubles every year, so the growth factor is 2. The initial population is 112, so the equation is: P(t) = 112(2)^t where P(t) is the population in year t and t is the number of years since 2014.

2. Estimate the population of the town in 2023. To estimate the population of the town in 2023, we can set t=9, since 2023 is 9 years after 2014. Plugging this into the equation, we get: P(9) = 112(2)^9 = 2048

Therefore, the estimated population of the town in 2023 is 2048.

Answer:

2

Step-by-step explanation:

The value of x in the triangle with angles 80, 40 and (13x - 5) degrees is 5.

The sum of angle in a triangle is equals to 180 degrees. Recall a triangle have three sides. Therefore,

80 + 40 + 13x - 5 = 180

120 - 5 + 13x = 180

115 + 13x = 180

subtract 115 from both sides of the equation

115 - 115 + 13x = 180 - 115

13x = 65

divide both sides by 13

13x / 13 = 65 / 13

x = 5

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Answer:

X=-4

Step-by-step explanation:

No y value so just count ur x value

The steps peter could use in solving the quadratic equation is by applying the quadratic formula; x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

8x² + 16x + 3 = 0

using Quadratic formula

The following steps are involved

\(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\)

\(x = \frac{ -16 \pm \sqrt{16^2 - 4(8)(3)}}{ 2(8) }\)

\(x = \frac{ -16 \pm \sqrt{256 - 96}}{ 16 }\)

\(x = \frac{ -16 \pm \sqrt{160}}{ 16 }\)

\(x = \frac{ -16 \pm 4\sqrt{10}\, }{ 16 }\)

\(x = \frac{ -16 }{ 16 } \pm \frac{4\sqrt{10}\, }{ 16 }\)

\(x = -1 \pm \frac{ \sqrt{10}\, }{ 4 }\)

\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)

\(x = -0.209431\)

or

\(x = -1.79057\)

Therefore, the steps peter could follow will give the result

\(x = -1 \pm \frac{ \sqrt{5}\, }{ 2 }\)

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Answer:

Step-by-step explanation:

95% prediction interval for the dependent variable when the independent variable value is 20,

assuming the fitted regression line is: Y = 1.50 + 6.0(X).

Assume the sample size is 20

Y = 1.50 + 6.0(X)

sample X = 20

here predicted value = 1.5+6*20

= 121.5

therefore 95% prediction interval for the dependent variable

the standard error of the regression (SEE) is 1.2.

\(=121.5 \pm 2*1.2\\\\=121.1+2*1.2\\\\=121.1+2.4\\\\=123.9\ \texttt {and} \\\\=121.1-2*1.2\\\\=121.1-2.4\\\\=119.1 \\\\(119.10 \ \text {to}\ 123.90)\)

Answer:

since n is an integer you substitute n with all the integers. But since that is too much you should use infinity.

n=[-∞,+∞] where -∞ is a negative infinity which stands for negative numbers and +∞ is a positive infinity where it stands for positive numbers.

an integer contains negative and positive numbers so above is the answer.

Step-by-step explanation:

The terminal point on the unit circle determined by 5π/6 radians is (-√3/2, 1/2).

To find the terminal point on the unit circle determined by an angle of 5π/6 radians, we need to consider the coordinates of the point (x, y) on the unit circle that corresponds to this angle.

The unit circle has a radius of 1 unit, and the terminal point can be found by using the trigonometric functions cosine and sine.

For the angle 5π/6, the cosine function gives us the x-coordinate, and the sine function gives us the y-coordinate.

Using the exact values of cosine and sine for 5π/6, we have:

cos(5π/6) = -√3/2

sin(5π/6) = 1/2

Therefore, the terminal point on the unit circle determined by 5π/6 radians is (-√3/2, 1/2).

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P=160-70*cos(2π*(1/12)*t)

• Pressure in mathematics or physics is defined as force per unit area. The pressure exerted by a solid object which is resting on top of a solid surface is the weight divided by the area of the object . SI unit of force is Newton (N).

First, we find the amplitude by taking the difference between the peak values and dividing by two:

Amplitude=(230+90)/2=70

We can find the center value by either adding 70 to the minimum or subtracting 70 from the maximum:

90+70=160

230-70=160

This tells us that the Center Value=160

The frequency that we are operating at is given as:

f = 5/hour

so in minutes

f=5*(1/60)/minute=5/60=1/12 per minute

So, combining everything we get

P=160-70*cos(2π*(1/12)*t)

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Answer:

3x + 7

Step-by-step explanation:

combining like terms there is 2x + x = 3x and 5 + 2 = 7

Answer:

The length of BC is √105 cm or 10.2 cm.

Step-by-step explanation:

You have to apply Pythagoras Theorem, c² = a² + b² where c represents hypotenuse, a and b are the sides :

\( {c}^{2} = { a}^{2} + {b}^{2} \)

\(let \:a =BC \:, \: b = 8 \: , \: c = 13\)

\( {13}^{2} = {BC}^{2} + {8}^{2} \)

\(169 = {BC}^{2} + 64\)

\( {BC}^{2} = 169 - 64\)

\( {BC}^{2} = 105\)

\(BC = \sqrt{105} \)

\(BC = 10.2 \: cm \: (3s.f)\)

Answer:

\( \boxed{\sf Length \ of \ BC = \sqrt{105} \ cm} \)

Given:

AB = 13 cm

AC = 8 cm

To Find:

Length of BC

Step-by-step explanation:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.

\( \therefore \\ \sf {AC}^{2} + {BC}^{2} = {AB}^{2} \\ \sf \implies {8}^{2} + {BC}^{2} = {13}^{2} \\ \\ \sf {8}^{2} = 64 : \\ \sf \implies 64 + {BC}^{2} = {13}^{2} \\ \\ \sf {13}^{2} = 169 : \\ \sf \implies 64 + {BC}^{2} = 169 \\ \\ \sf Substract \: 64 \: from \: both \: sides : \\ \sf \implies (64 - 64) + {BC}^{2} = 169 - 64 \\ \\ \sf 64 - 64 = 0 : \\ \sf \implies {BC}^{2} = 169 - 64 \\ \\ \sf 169 - 64 = 105 : \\ \sf \implies {BC}^{2} = 105 \\ \\ \sf \implies BC = \sqrt{ 105 } \ cm \)

So,

Length of BC = \( \sqrt{105} \) cm

The exact average value of \(y = x^4\) on [1,2] is 31/5, and the decimal approximation is 6.200.

To find the average value of a function f(x) on an interval [a,b], we use the formula:

Average Value = (1/(b-a)) * ∫(a to b) f(x) dx

Using this formula, we can find the average values of the given functions on the interval [1,2]:

y = x

Average Value =\((1/(2-1)) * ∫(1 to 2) x dx= ∫(1 to 2) x dx= [x^2/2] from 1 to 2= (2^2/2) - (1^2/2)\)

= 3/2

Therefore, the exact average value of y = x on [1,2] is 3/2, and the decimal approximation is 1.500.

\(y = x^2\)

Average Value =\((1/(2-1)) * ∫(1 to 2) x^2 dx\)

\(= ∫(1 to 2) x^2 dx= [x^3/3] from 1 to 2= (2^3/3) - (1^3/3)\)

= 7/3

Therefore, the exact average value of\(y = x^2\) on [1,2] is 7/3, and the decimal approximation is 2.333.

y = x^3

Average Value = \((1/(2-1)) * ∫(1 to 2) x^3 dx\)

\(= ∫(1 to 2) x^3 dx= [x^4/4] from 1 to 2= (2^4/4) - (1^4/4)\)

= 15/4

Therefore, the exact average value of\(y = x^3\) on [1,2] is 15/4, and the decimal approximation is 3.750.

\(y = x^4\)

Average Value =\((1/(2-1)) * ∫(1 to 2) x^4 dx\)

\(= ∫(1 to 2) x^4 dx= [x^5/5] from 1 to 2= (2^5/5) - (1^5/5)\)

= 31/5

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