5
1 point
Determine whether the following has one solution, no solution, or infinitely many solutions:
3(3-X) + 5x = 2(x + 2)

Answer:

Answer = 27.78%

Step-by-step explanation:

There are 10 outcomes with sum 9 or higher.

There the required probability is 10/36 = 5/18 = nearly 27.78% chances of getting a sum of 9 or higher on rolling two 6-sided dice.

idk if this is correct

The period of the function f(t) = 2.3cos(0.25t) is 8π. Hence, the correct answer is d) period 8π.

To determine the period of the function f(t) = 2.3cos(0.25t), we need to consider the coefficient of t inside the cosine function.

In this case, the coefficient is 0.25, which represents the frequency of the cosine function. The period of a cosine function is given by the formula T = 2π/frequency.

Using this formula, we can calculate the period of the function f(t) as follows

T = 2π / 0.25

T = 8π

Therefore, the period of the function f(t) = 2.3cos(0.25t) is 8π.

Hence, the correct answer is d) period 8π.

The period of a function represents the length of one complete cycle or the distance between two consecutive identical points on the graph of the function. In this case, the function is a cosine function, and the period determines how long it takes for the function to repeat its values

The coefficient 0.25 in the function f(t) = 2.3cos(0.25t) affects the frequency of the cosine function. A smaller coefficient results in a slower oscillation, while a larger coefficient leads to a faster oscillation. In this case, since the coefficient is 0.25, it means that the function completes one full cycle within 8π units of time.

Understanding the period of a function is crucial for analyzing its behavior, identifying the frequency of oscillation, and studying its repetitive patterns.

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Answer:

23.4 ft

Step-by-step explanation:

35² + 262 = 549

√549 = 23.4 ft

The distance from the bottom of the ladder to the bottom of the building will be 23.4 ft.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

The distance will be calculated as,

D = √35² - 26²

D = √549

D = 23.4 ft

Therefore, the distance from the bottom of the ladder to the bottom of the building will be 23.4 ft.

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Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer:

Answer :

Given  : If a sum of money amounts to Rs 2200 in 5 years

Let sum of money =  x

And as given : The interest is 3838 of the principal . So we get

x ( 3838 ) = 2200 - x

3x  =  17600 - 8x

11x  =  17600

x   =  1600

So, Sum of money  =  Rs . 1600

Then interest =  2200 -  1600 =  Rs . 600

Let Rate of interest  = r  %

And we know Simple interest  = P × r × t100P × r × t100 , So we get

⇒1600 × r × 5100 =  600⇒16× r × 5100 =  6⇒80r  =  600⇒r = 60080 = 152 =  712%⇒1600 × r × 5100 =  600⇒16× r × 5100 =  6⇒80r  =  600⇒r = 60080 = 152 =  712%

So

Step-by-step explanation:

Answer:

the answer is B!

Step-by-step explanation:

because :

Jerry has = 150$

he "*DEPOSITED*" = 50$

(When the word deposit comes, it basically means we need to ADD)

therefore, 150 +50x = 500

(7 weeks) so,

150 + 50 * 7 = 500

see! my answer is correct !

mark me brainliest now pweasee! ;)) ♡♡♡

Answer:

37

Step-by-step explanation:

Before we find quartile, we have to arrange the data set in order first from least to greatest which this problem has already arranged the data for us.

Next, proceed with the calculation. The formula for finding position of quartile is:

\(\displaystyle{Q_r = \dfrac{r(N+1)}{4}}\)

Where \(\displaystyle{Q_r}\) means the rth quartile, N means number of data set. Since we want to find the third quartile, substitute r = 3 and there are 11 data so substitute N = 11:

\(\displaystyle{Q_3 = \dfrac{3(11+1)}{4}}\\\\\displaystyle{Q_3 = \dfrac{3(12)}{4}}\\\\\displaystyle{Q_3 = 3\cdot 3}\\\\\displaystyle{Q_3 = 9}\)

So the position of third quartile is at 9th position which is 37.

Henceforth, the third quartile is 37.

Answer:

37.

Step-by-step explanation:

The data is in ascending order, which is what we need to get the answer.

As there are 11 numbers the 9th number is the upper(third)  quartile.

The median ( middle) number is 29 and the upper quartile is the middle number of the 5 numbers to the right of the median.

It is 37.

Answer:

No se perdon nesesito puntos

Answer:

there is no model, but the answer is 1.32

Step-by-step explanation:

to make 1/3 a decimal, think of the "/" as a division symbol and divide 1 by 3. That comes out as .333333, so round it up to .33, then multiply .33 by 4, and that will be 1.32

The roots of the quadratic function f(x) = -3x² - 11x - 5 will be negative 3.14 and negative 0.53.

Let the equation be ax² + bx + c = 0.

Then the roots of the equation will be

\(\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}\)

The quadratic function is given below.

f(x) = -3x² - 11x - 5

Then the roots of the quadratic function will be given as,

x = [-(-11) ± √{(-11)² - 4 × (-3) × (-5)}] / [2 × (-3)]

Simplify the equation, then the roots of the equation are calculated as,

x = [-(-11) ± √{(-11)² - 4 × (-3) × (-5)}] / [2 × (-3)]

x = [ 11 ± √{121 - 60}] / [-6]

x = - (11 ± 7.81) / 6

x = - (11 + 7.81) / 6, - (11 - 7.81) / 6

x = - 3.14, -0.53

The solution of the quadratic function will be negative 3.14 and negative 0.53.

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Answer:

1 question : 0.89 I think.

Answer:

2. 0.51

3. 1.5

4. 0.99

5. 0.66

6. 0.79

7. 5.2

8. 4.86

9. 4.3

10. 1.5

11. 5.84

Answer:

v=-7

Step-by-step explanation:

2(v-8)-8v=26

2v-16-8v=26

-6v-16=26

     +16  +16

-6v=42/-6

v=-7

Answer:

3√2

Step-by-step explanation:

If you draw the diagonal, you have a 45°45°90° triangle.

The two legs are 3, so the hypotenuse is 3√2

Answer:

Equipamiento para 8 jugadores

Explanation:

Porque la diferencia de dinero no es muy grande ni muy pequeña, por lo que obtienes equipamiento para más jugadores a un buen precio.

(a) System of equations are

\(2x+4y=14794\\3x+5y=19892\\\)

(b) The cost of MacBook is $2,799

The cost of iMac is $2,299

Given :

Firm purchased 2MacBook Pro notebooks and 4iMac desktops for a total order price of $14,794

they purchased 3MacBook Pro notebooks and 5 iMac desktops for a total order price of $19,892.

Let x be the cost of MacBook Pro

and y be the cost of iMac

Now frame the equation using given information

2 MacBook +4 iMac= 14794

2x+4y=14794

3 MacBook +5 iMac= 19892

3x+5y=19892

System of equations are

\(2x+4y=14794\\3x+5y=19892\\\)

To solve for x  and y , Lets solve the second equation for x

\(3x+5y=19892\\3x=19892-5y\\x=\frac{19892-5y}{3}\)

Substitute x in first equation and solve for y

\(2\cdot \frac{19892-5y}{3}+4y=14794\\\frac{39784+2y}{3}=14794\\\frac{3\left(39784+2y\right)}{3}=14794\cdot \:3\\39784+2y=44382\\2y=4598\\y=2299\)

Substitute y value in the x equation

\(\mathrm{\:}x=\frac{19892-5y}{3}\\x=\frac{19892-5\cdot \:2299}{3}\\x=2799\)

The cost of MacBook is $2,799

The cost of iMac is $2,299

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According to the given data the equation of the new function is (D) f(x) = 2x - 4.

An equation is a mathematical statement that indicates that two expressions are equal. It contains an equals sign "=" and may involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc.

If we translate the function h(x) = 2x - 9 up by 5 units, the new function f(x) will have the form:

f(x) = h(x) + 5

Substituting the definition of h(x) into this equation, we get:

f(x) = 2x - 9 + 5

Simplifying, we have:

f(x) = 2x - 4

Therefore, the equation of the new function is (D) f(x) = 2x - 4.

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Answer:

\( - \frac{19}{13} \)

Step-by-step explanation:

\(the \: multiplicative \: inverse \: of \: \\ - \frac{13}{19} = - \frac{19}{13} \)

Product of a number and its multiplicative inverse should be equal to 1.

So,

\( \bigg ( - \frac{13}{19} \bigg) \bigg ( - \frac{19}{13} \bigg) \)

\(= \frac{13}{19}\times \frac{19}{13} \)

\(=1 \)

Answer:

48.6

Step-by-step explanation:

SohCahToa

Using Sin^-1

Sin^-1 (1.2/1.6) = 48.5903

Answer:

x = 48.6°

Step-by-step explanation:

We are heree given a right angled triangle in which we are interested in finding the value of unknown angle " x " . with respect to angle x , HG is perpendicular and FH is hypotenuse. Also , in right angled triangle, sine is defined as the ratio of perpendicular and hypotenuse.

So that ,

\(\implies \sin\theta = \dfrac{HG}{HF} \\\)

\(\implies \sin x =\dfrac{1.2}{1.6}\\\)

\(\implies \sin x = \dfrac{3}{4}\\\)

\(\implies x = \arcsin\bigg(\dfrac{3}{4}\bigg)\\\)

\(\implies x = 48.59^o\\\)

Rounding to nearest tenth,

\(\implies x = 48.6^o \\\)

Hence the value of x is 48.6° .

Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.

To find the Z-score corresponding to a particular value in a normal distribution, we use the formula:

Z = (x - μ) / σ

where x is the value of interest, μ is the mean, and σ is the standard deviation.

Part 1 of 2: For the oldest senator of age 85:

Z = (x - μ) / σ = (85 - 56.5) / 12.5 ≈ 2.28

Rounding to two decimal places, the Z-score corresponding to the oldest senator of age 85 is 2.28.

Part 2 of 2: For the youngest senator of age 39:

Z = (x - μ) / σ = (39 - 56.5) / 12.5 ≈ -1.4

Rounding to two decimal places, the Z-score corresponding to the youngest senator of age 39 is -1.40.

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Answer:

55°

Step-by-step explanation:

In triangle BAC, angle C =

180° - 90° - 70°

Angle C = 20°

In triangle DAB, angle C =

180° - 90° - 55°

Angle C = 35°

Add both angles

20° + 35° = 55°

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The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

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The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2*(length width + length height + width*height)

Initial Surface Area:

Length (L) = 13 cm

Width (W) = 8.7 cm

Height (H) = 28 cm

Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)

Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:

New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))

To find the increase in surface area, we subtract the initial surface area from the new surface area:

Increase in Surface Area = New Surface Area - Initial Surface Area

Let's calculate the values:

Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²

Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²

Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

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The simplified version of the expression would be 31-w

The numerical part of the expression given is :

Simplifying using Subtraction operation:

Adding the alphabetical part :

Therefore, the simplified form of the expression is 31-w.

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Answer:

(−∞,∞)

Step-by-step explanation:

Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.

All real numbers

So, the answer is (−∞,∞)

Answer:

b

Step-by-step explanation:

8

A monthly payment of $187.53 for 60 months will give us:

The total money paid is:

Hence, the interest paid is:

Answer:

Step-by-step explanation:

Midpoints of two coordinates is expressed using the formula;

M(X, Y) = (x2+x1/2, y2+y1/2)

Given the coordinates  c(5,3) and d(-3,-6)

x1 = 5, y1 = 3, x2 = -3 and y2 = -6

X = x1+x2/2

X = 5+(-3)/3

X = 5-3/2

X = 2/2

X = 1

Also;

Y = y1+y2/2

Y = 3+(-6)/2

Y = 3-6/2

Y = -3/2

Y = -1.5

Hence the coordinates of the midpoint M is (1, -1.5)

Answer:

Step-by-step explanation:

Hence the coordinates of the midpoint M is (1, -1.5)