Can we make the triangles with the following measures?
3. Right angled triangle with one angle 10°​

Answer:

The answer is C and D

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

The number of adults is based on the number of students. Therefore, x = students, and 3x = adults.

480 − x = 3x → 4x = 480 → x = 120 students → 3x = 360 adults

The age of Jack's brother is 13 years.

A linear function has a straight line as its graph. A linear function has the form shown below.

a + bx = y = f (x).

A linear function consists of one independent variable and one dependent variable. The independent and dependent variables are x and y, respectively.

If Jack is w years old now, then his brother is w + 3 years old now.

Let x be the age of Jack's brother, then we have:

x = w + 3

In this equation,

the independent variable is w, which represents Jack's age,

and the dependent variable is x, which represents his brother's age.

So if we know Jack's age, we can use this equation to find his brother's age.

For example, if Jack is currently 10 years old, then his brother is:

x = w + 3 = 10 + 3 = 13

Therefore, his brother is 13 years old.

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Answer: Let's call the amount of the check Craig wrote to the hardware store "x".

According to the problem, the statement from Craig's bank shows an ending balance of $521.60. This means that his balance before writing the check was $521.60 + x.

So, we can write the equation:

$521.60 + x = $521.60

Subtracting $521.60 from both sides:

x = 0

This means that Craig's check was for $0.

Step-by-step explanation:

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

Yes, the mean cycle time is greater than 3.5 hours

Step-by-step explanation:

Let us try to calculate the mean cycle time here. Consider the given cycle times. To obtain the mean cycle time, we have.

3.45 + 3.47 + 3.57 + 3.52 + 3.40 + 3.62/6 = 3.505 hours

Hence the difference 3.505 -3.5 = 0.005

Hence mean cycle time is greater than 3.5 by 0.005

The number of pounds of peaches is 6 pounds and the number of pounds of apples is 18 pounds

Given:

cost of peaches per pound = $4

cost of apples per pound = $2

Total amount spent = $60

Total pounds bought = 24

let

x = number of peaches

y = number of apples

x + y = 24 (1)

4x + 2y = 60 (2)

multiply (1) by 2

2x + 2y = 48 (3)

4x + 2y = 60 (2)

subtract (3) from (2)

4x - 2x = 60 - 48

2x = 12

x = 12/2

x = 6

substitute x = 6 into (1)

x + y = 24 (1)

6 + y = 24

y = 24 - 6

y = 18

Therefore, the number of pounds of peaches is 6 pounds and the number of pounds of apples is 18 pounds

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Answer:

\frac{d}{8}

Step-by-step explanation:

If d is the total amount, and Helen has 8 nieces, we divide d by 8 to get the answer. The answer is \(\frac{d}{8}\)

Answer:

F

Step-by-step explanation:

64x³ = -1

x³ = -1/64

x = ∛-1/∛64

x = -1/4

Answer:

x = - \(\frac{1}{4}\)

Step-by-step explanation:

64x³+1=0

Add 1 to both sides:

64x³=-1

Divide both sides by 64:

x³=-\(\frac{1}{64}\)

Find cubed root of both sides:

x=-\(\sqrt[3]{\frac{1}{64}}\)

Note that \(\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\) :

x=-\(\frac{\sqrt[3]{1} }{\sqrt[3]{64} }\)

Evaluate:

x = - \(\frac{1}{4}\)

10% of the time, the population mean will go below $1,500 or exceed $2,100.

Given that,

Assume that we have data on the annual spending on apparel of a sample of families. The probability that the population mean will fall below $1,500 or rise over $2,100 is ________% if we are 90% positive that the genuine population mean will be between $1,500 and $2,100.

We have to fill the blank.

We know that,

90% of the time, the real population mean will fall in the range of $1,500 and $2,100.

The genuine population mean will therefore most likely fall between $1,500 and $2,100, with a 90% probability.

So, the probability that it will fall outside of this range (i.e., be either less than $1,500 or beyond $2,100) is 100-90, or 10%.

Therefore, 10% of the time, the population mean will go below $1,500 or exceed $2,100.

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The slope field for the differential equation would be D . Graph D .

A slope field provides a pictorial representation of differential equations that displays the magnitude and direction of the derivative or slope for solution curves at various points in the plane .

The length of line segments represents the magnitude, while the direction indicates the sign of the slope.

The equation given is y = 2 y + x which means that the slope is positive. This is why we can tell that Graph D has the correct slope field as it goes up for positive.

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When a force of 21 N acts on a certain object, the acceleration of the object is \(3\ m/s^2\). If the force is changed to 28 N, then the acceleration of the object will be  \(4\ m/s^2\).

By Newton's second law,

F = ma ----------(1)

where, F = amount of force needed to accelerate the object

m = object's mass

a = acceleration

When a force of  21 N, acceleration is \(3\ m/s^2\)

Now, we put F = 21 N & a = 3 in the equation (1),

Then it becomes,

21 = m(3)

m = \(\frac{21}{3}\)

m = 7

Now when F = 28N, we have to find a,

Equation F = ma can be written as,

28 = 7a

a = \(4\ m/s^2\)

Therefore the acceleration will be  \(4\ m/s^2\), is the force changes to 28 N.

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Answer:

hello. x =3

Step-by-step explanation:

\( - 8x = - 24 \\ \frac{ - 8x}{ - 1} = \frac{ - 24}{ - 1} \\ 8x = 24 \\ \frac{8x}{8} = \frac{24}{8} \\ x = 3\)

hope you u understand

Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

Answer:

4 +311/59 answer IsD ong I know

The highest point for the quadratic function for the height of the object, h(t) = -16·t² + 224·t + 816, indicates that the interval over which the height of the object is increasing is; (-∞, 7]

The shape of the graph of a quadratic function is a parabola.

The function for the height of the object in question 3 is; h(t) = -16·t² + 224·t + 816

Where;

t = The time in seconds

The height of the object is increasing in the interval to the left of the highest point, which can be found as follows;

The x-coordinate of the highest point of the quadratic function, f(x) = a·x² + b·x + c is; x = -b/(2·a)

Therefore, the x-coordinates of the highest point of the object is; -224/(2 × (-16)) = 7

Therefore, the height of the object is increasing in the interval; -∞ < t ≤ 7

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Answer:

The farmer needs 24 crates to hold the carrots.

Step-by-step explanation:

To determine how many crates the farmer needs to hold the carrots, knowing that his farm has 4.8 acres of land, where he can harvest 120 pounds per acre, and that each crates can hold up to 24 pounds of carrots, the following calculation must be performed:

(4.8 x 120) / 24 = X

576/24 = X

24 = X

Thus, the farmer needs 24 crates to hold the carrots.

Answer:

24 crates

Step-by-step explanation:

I had an assignment with this question and I got it right :/

Answer:

.56

Step-by-step explanation:

Answer:

\(f ( t ) = 3.7*sin ( 0.01736*t ) + 12\)

Step-by-step explanation:

Solution:-

- We are to model a sinusoidal function for the number of hours of daylight measured in one year in Ellenville.

- We will express a general form of a sinusoidal function [ f ( t ) ] as follows:

                                \(f ( t ) = A*sin ( w*t ) + c\)

Where,

                  A: The amplitude of the hours of daylight

                  w: The angular frequency of occurring event

                  c: The mean hours of daylight

                  t: The time taken from reference ( days )

- We are given that the longest day [ \(f ( t_m_a_x )\) ] occurred on June 21st and the shortest day [ \(f ( t_m_i_n )\) ] on December 21st.

- The mean hours of daylight ( c ) is the average of the maximum and minimum hours of daylight as follows:

                              \(c = \frac{f(t_m_a_x ) +f(t_m_i_n ) }{2} \\\\c = \frac{15.7 + 8.3}{2} = \frac{24}{2} \\\\c = 12\)

- The amplitude ( A ) of the sinusoidal function is given by the difference of either maximum or minimum value of the function from the mean value ( c ):

                              \(A = f ( t_m_a_x ) - c\\\\A = 15.7 - 12\\\\A = 3.7\)

- The frequency of occurrence ( w ) is defined by the periodicity of the function. In other words how frequently does two maximum hours of daylight occur or how frequently does two minimum hours of daylight occur.

- The time period ( T ) is the time taken between two successive maximum duration of daylight hours. We were given the longest day occurred on June 21st and the shortest day occurred on December 21st. The number of days between the longest and shortest day will correspond to half of the time period ( 0.5*T ):

                              \(0.5*T = 7 + 31 + 31 + 30 +31 +30 +21\\\\T = 2* [ 181 ] \\\\T = 362 days\)

- The angular frequency ( w ) is then defined as:

                              \(w = \frac{2\pi }{T} = \frac{2\pi }{362} \\\\w = 0.01736\)

- We will now express the model for the duration of daylight each day as function of each day:

                              \(f ( t ) = 3.7*sin ( 0.01736*t ) + 12\)

The data set is as follows, going from smallest to largest:

$1,2,000,000, $1.5,000,000, $1.5,000,000, $2.8,000,000, $3.5,000,000, and $18,9,000,000

The middle two figures are $2.8 million and $3.5 million because the data set has six items. These two values' average is:

($2.8 million plus $3.5 million) / 2= $1.35 million.

As a result, the median serves as the most accurate measure of the centre, and its value is $1.35 million. The median price is (A), or $1.35 million.

Standard deviation is a statistical measure that indicates how much the values in a dataset deviate from the mean or average value of the dataset. It measures the spread or variability of the data around the mean.

The standard deviation is calculated by taking the square root of the variance of the dataset. The variance is the average of the squared differences between each data point and the mean. In other words, it measures how much the data points vary from the mean squared.

The formula for calculating the standard deviation is:

Standard deviation = sqrt( Sum \((x - mean)^2\) / (n - 1) )

where x is each data point in the dataset, mean is the average value of the dataset, and n is the number of data points in the dataset.

A higher standard deviation indicates that the values in the dataset are more spread out or have more variability, while a lower standard deviation indicates that the values are more tightly clustered around the mean.

Standard deviation is widely used in statistics and data analysis to measure the variability of data and to compare the spread of different datasets. It is used to assess the degree of risk and uncertainty associated with a given set of data, and it plays a crucial role in various fields, such as finance, engineering, and social sciences.

Given that we have a range and a standard deviation for the annual contracts obtained for the sports agent's clients, we can use these measures to determine the most appropriate measure of center.

The range is the difference between the largest and smallest values in the data set, which in this case is 17.7. The standard deviation is a measure of the spread of the data around the mean, which in this case is 6.3.

If the range is relatively small compared to the standard deviation, then the mean is the most appropriate measure of the center, since it takes into account the value of every data point. However, if the range is relatively large compared to the standard deviation, then the median is a more appropriate measure of center since it is less affected by extreme values in the data set.

In this case, the range of 17.7 is relatively large compared to the standard deviation of 6.3, which suggests that the median is the most appropriate measure of the center. We can find the median by arranging the data set in order from smallest to largest and finding the middle value. If there are an even number of values, we take the average of the two middle values.

The answer (B) mode; $1.5 million is incorrect because there are two modes ($1.5 million appears twice). The answers (D) mean; of $4.9 million and (E) mean; of $5.58 million are incorrect because the range is relatively large compared to the standard deviation, which indicates that the mean may be influenced by the extreme values in the data set.

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Answer:

288\(x^{5} \)

Step-by-step explanation:

\((6x)^{2} (2x)^{3} \)

6x * 6x * 2x * 2x * 2x

\(6 * 6 * 2 * 2 * 2\)\(*x*x*x*x*x\)

288\(x^{5} \)

Answer:

\( = > (6x) {}^{2} (2x) { }^{3} \)

\( = > (6x) \times (6x)(2x) \times (2x) \times (2x)\)

\( = > 36x {}^{2} \times 8x { }^{3} \)

\( = > (36 \times 8) {x}^{2 + 3} \)

\( = > 288 {x}^{5} \)

Average speed of the car will be the total distance traveled in the total time. Taking distance travelled as 150 in 5 seconds we have average speed as. 30×1=30 m

Answer:

increases by 30

Step-by-step explanation: its right

Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.

Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.

Therefore, we can write the volume of the box as

:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.

Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:

527 = constant × dh/dt

We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:

V = l × w × hV = 17 × 10 × hV = 170h

We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:

527 = constant × 6 cm

constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get

-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min

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answer:

$1.40

step-by-step explanation:

so the price of one hat is your unknown variable, so let's make an equation out of it:

60*x=$84.00

let's let x stand for the price of one hat

the way i figured it out was to do 84 ÷ 60

which equals 1.4

and remember, since we're dealing with money you must add a zero at the end of the decimal

then if you want, just to ensure that this is correct you can multiply 60*1.40

good luck :)

i hope this helps

have a great day !!

Step-by-step explanation:

access to one as to which the two was to wisdom 100 as wisdom teeth is my dream wall

Answer:

P(B) = 0.20

Step-by-step explanation:

If A and B are events with P(A)=0.5, P(A OR B)=0.54, and P(A AND B)=0.16, find P(B).

Provide your answer below:

We are given two events A and B and the formula for the probability of two events is given as:

P ( A ∪ B) = P(A ) + P( B ) - P( A∩ B)

Where:

P(A)=0.5

P ( A ∪ B) = P(A OR B)=0.54

P( A∩ B) = P(A AND B)=0.16

P(B) = ??

Hence, we have:

0.54 = 0.5 + P(B) - 0.16

Making P(B) subject of the formula

P(B) = 0.54 - 0.5 + 0.16

P(B) = 0.20

Answer:

\(\displaystyle x=\frac{\log 3}{\log(3)-\log 2}\approx 2.71\)

Step-by-step explanation:

Logarithms

We need to recall these properties of logarithms:

\(\log_ax^n=m\log_ax\)

\(\log_a(xy)=\log_a(y)+\log_a(y)\)

The equation to solve is:

\(3^x=3*2^x\)

Applying logarithms:

\(\log(3^x)=\log(3*2^x)\)

Applying the exponent property on the left side and the product property on the right side:

\(x\log(3)=\log 3+\log 2^x\)

Applying the exponent property:

\(x\log(3)=\log 3+x\log 2\)

Rearranging:

\(x\log(3)-x\log 2=\log 3\)

Factoring:

\(x(\log(3)-\log 2)=\log 3\)

Solving:

\(\boxed{\displaystyle x=\frac{\log 3}{\log(3)-\log 2}}\)

Calculating:

\(\mathbf{x\approx 2.71}\)

Answer:

The vector equation

\(r = (2 + 3t)i+ (2.4 + 2t)j+ (3.5 - t)k\)

The parametric equation

\(x = 2 + 3t\\y = 2.4 + 2t\\z = 3.5-t\)

Step-by-step explanation:

Given

\(Point = (2,2.4,3.5)\)

\(Vector = 3i + 2j - k\)

Required

The vector equation

First, we calculate the position vector of the point.

This is represented as:

\(r_0 = 2i + 2.4j + 3.5k\)

The vector equation is then calculated as:

\(r = r_o + t * Vector\)

\(r = 2i + 2.4j + 3.5k + t * (3i + 2j - k)\)

Open bracket

\(r = 2i + 2.4j + 3.5k + 3ti + 2tj - tk\)

Collect like terms

\(r = 2i + 3ti+ 2.4j + 2tj+ 3.5k - tk\)

Factorize

\(r = (2 + 3t)i+ (2.4 + 2t)j+ (3.5 - t)k\)

The parametric equation is represented as:

\(x = x_0 + at\\y = y_0 + bt\\z = z_0 + ct\)

Where

\(r = (x_0 + at)i +(y_0 + bt)j+(z_0 + ct)k\)

By comparison:

\(x = 2 + 3t\\y = 2.4 + 2t\\z = 3.5-t\)

Answer:

-43, -8, 1/3, 71, 94

If you meant that 71 is a mixed fraction:

-43, -8, 71 1/3, 94

Answer:

5x+8y=144

Step-by-step explanation:

hi

Answer:

5x + 8y = 144

Step-by-step explanation:

Because There are 5 large pepperoni

and 8 cheese so it would be

5x + 8y = 144

And the end cost = C= 5x + 8y