Find the value of the missing angle in the following Triangle x= _________ degrees

If Ahmad works at a constant rate, he will take 90 minutes in finishing his exam, and he will finish it at around 1:15 pm.

We know that Ahmad answers at a constant rate, and he takes around 1.5 minutes to answer each answer.

The total time that it will take him to answer the 60 questions is equal to the number of questions times the time that it took him to answer each one, then the total time is:

T = (1.5 min)*60  = 90 minutes

So it will take him an hour and a half.

And e know that the exam starts at 11:45 am

After one hour, it will be:

0:45 pm

And after 30 minutes, it will be:

1:15 pm

Ahmad will finish his exam at 1:15 pm.

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After solving, the reaminder is 1 if x^3-2x^2+X+1 is divided by x-1.

In the given question we have to find the remainder if x^3-2x^2+X+1 is divided by x-1.

The given equation is x^3-2x^2+X+1.

We have to divide this equation by x-1 to find the remainder.

To find the remainder we firstly find the value of x from x-1. Then we put the value of x in the given equation then we can easily find the remainder.

Putting the x-1 equla to zero, so

x=1

Now putting the value of x in the given equation.

=x^3-2x^2+X+1

=(1)^3-2(1)^2+1+1

=1-2+1+1

=1

Hence, the remainder is 1 if x^3-2x^2+X+1 is divided by x-1.

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The statistic that can be used to objectively quantify the level of agreement between different screeners appraising an article in a systematic review is the inter-rater reliability coefficient, such as Cohen's kappa or Fleiss' kappa.

In a systematic review, multiple screeners may independently appraise articles to ensure consistency and minimize bias. The inter-rater reliability coefficient, such as Cohen's kappa or Fleiss' kappa, is used to measure the agreement between these screeners. These statistics provide a quantitative measure of the extent to which the screeners' assessments align with each other beyond what would be expected by chance. Higher values of the inter-rater reliability coefficient indicate greater agreement among the screeners, suggesting more reliable and consistent evaluations of the articles in the systematic review.

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The probability of getting a blue based on the image that we have in the problem here is 1/10

The idea of probability is used to calculate the possibility or chance of an event happening. It is a measurement of the probability that, out of all conceivable outcomes, a certain outcome or group of outcomes will occur.

Probability is simply represented as a number between 0 and 1, with 1 denoting a certain event and 0 denoting an impossibility. A probability of 0.5 (or 50%) means that there is an equal chance that an event will occur or not.

Thus:

P(Blue) = 1/10

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Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

Answer:

490,000 grams

Step-by-step explanation:

To convert from kilograms to grams - multiply the number of kilograms by 1000. (there are 1000 grams in a kilogram)

\(490 * 1000 = 490,000\)

Answer:

490000

Step-by-step explanation:

1 kg : 1000 gram

So,

490 kilograms : 490 ×1000 grams

: 490000 grams

Given that the actual recharging time required is uniformly distributed between 70 and 110 minutes, we can assume that the probability density function of the recharging time is a uniform distribution given by:

f(x) = 1/(110-70) = 1/40 for 70 <= x <= 110

f(x) = 0 otherwise

To find the probability that the recharge time will be less than 91 minutes, we need to calculate the cumulative distribution function (CDF) of the uniform distribution up to 91 minutes:

F(x) = integral from 70 to x of f(t) dt

F(x) = integral from 70 to x of (1/40) dt

F(x) = (x-70)/40

Therefore, the probability that the recharge time will be less than 91 minutes is:

P(X < 91) = F(91)

P(X < 91) = (91-70)/40

P(X < 91) = 0.525

So, the probability that the recharge time will be less than 91 minutes is 0.525 (rounded to three decimal places).

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Answer:

Create your own real-world example of a relation that is a function.

Domain: The set of: 0

Range: The set of: 16

The domain of a function is the set of all possible inputs for the function while the range of a function is the set of all possible outputs for the function.

A function is an expression that shows the relationship between two or more variables and numbers.

The domain of a function is the set of all possible inputs for the function while the range of a function is the set of all possible outputs for the function.

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Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

Answer: x ≥ 15

Step-by-step explanation:

The first step is to write an equation:

205 - 2x ≤ 175

This is because Alex wants to reach his target of 175 pounds, he needs to weigh less than or equal to 175 pounds after x amount of weeks.

The second step is to solve:

205 - 205 - 2x ≤ 175 - 205

- 2x/-2 ≤ -30/-2

x ≥ 15

When solving an inequality, and multiplying or dividing to isolate the variable, you must switch the sign.

So this is why x ≥ 15.

I hope I helped and have a great day! ^-^

Answer:

f(3) = -11, f(-7) = 19

Step-by-step explanation:

f(x) = -3x -2

1.

f(3) is the f(x) when x = 3 so where we see x in the equation we write 3 and calculate

f(3) = -3(3) -2 = -9 -2 = -11

2.

f(-7)  = f( x= -7) = -3(-7) -2 = 21 -2 = 19

Answer: 1) f(3)= -11 and 2) f(-7)= 19

Step-by-step explanation: f(x) means 'function of x' or just to replace x with the desired value. For example, f(3) just means x=3. Following below is written proof.

Answer:

what kind kind of prob

Step-by-step explanation:

dp you have a Story

Answer:

there is no picture to explain your qustion and im confused

Step-by-step explanation:

Multiply the number by 8. Add 12 to the product. Divide this sum by 2. Subtract 6 from the quotient is n.

A quotient in mathematics is the amount created by dividing two integers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

Assume the number to be n

Adding by 12, we get 2n+12

Dividing by 2, we get 2n+12/2

Subtracting 6, we get 2n+12/2-6

These are the required steps and the result is 2/2(n+6)-6=n+6-6=n

which is the original number

What are basic operations?

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Dilation and rotation Transformation creates an image that is similar but not congruent

What is Dilation Transformation?

Dilation is the type of transformation that will produce a similar, but not congruent figure. A dilation is a transformation, with Centre O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'. The centre O is a fixed point, P' is the image of P, and points O, P and P' are on the same line. The scale factor of a dilation is the factor with which the image increase or decreases from the pre-image, it also gives the factor with which the distances from O to the vertices of the image are more than the distances from O to the original figure. For a scale factor between 0 and 1, the image is shrinking.

Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.

Dilation, however, is not a rigid transformation, since they change a shape's size. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.

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Answer:

42+6%

=$44.52

or

42+0.06

=44.52

Answer:

Josh Hahn shehhi hbwu this sky

Answer:

yes

Step-by-step explanation:

It is direct variation .

Because x/y = 20

x = 20 y

so if y increases x will increase too.

Let A be the event that a ball is selected from the first box and B be the event that a ball is selected from the second box. The probability of both A and B occurring is the product of their probabilities: P(A and B) = P(A) × P(B).

Formula: Probability of two removed balls of different colors = P(A) × P(B') + P(A' ) × P(B)Where A' is the complement of A (the event that a white ball is selected from the first box) and B' is the complement of B (the event that a white ball is selected from the second box).

Explanation:Given that there are 9 white and 5 black balls in the first box, the probability of selecting a white ball is:P(A) = 9 / (9 + 5) = 9 / 14

Similarly, the probability of selecting a black ball from the first box is:P(A') = 5 / 14In the second box, there are 7 white and 8 black balls. Therefore, the probability of selecting a white ball is:P(B) = 7 / (7 + 8) = 7 / 15Similarly, the probability of selecting a black ball from the second box is:P(B') = 8 / 15The probability of selecting two balls of different colors is:P(A) × P(B') + P(A') × P(B)= (9 / 14) × (8 / 15) + (5 / 14) × (7 / 15)= (72 + 35) / (14 × 15)= 107 / 210Therefore, the probability that the two removed balls are of different colors is 107 / 210.

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The probability of the two removed balls being of different colors is 0.5096.

There are two boxes:

Box 1 contains 9 white balls and 5 black balls

Box 2 contains 7 white balls and 8 black balls

One ball is randomly removed from each box.

To find the probability that the two removed balls are of different colors, we need to calculate the probability of two events: removing a white ball from the first box and a black ball from the second box, or removing a black ball from the first box and a white ball from the second box.

Let A be the event of selecting a white ball from Box 1 and B be the event of selecting a black ball from Box 2.

Let C be the event of selecting a black ball from Box 1 and D be the event of selecting a white ball from Box 2.

P(A and B) represents the probability of selecting a white ball from Box 1 and a black ball from Box 2.

P(C and D) represents the probability of selecting a black ball from Box 1 and a white ball from Box 2.

We can calculate the probability of P(A and B) and P(C and D) using the formula:

P(A and B) = P(A) × P(B)P(C and D) = P(C) × P(D)

We can then add these probabilities to find the overall probability of selecting two balls of different colors.

P(A) = 9/14, P(B) = 8/15

P(C) = 5/14, P(D) = 7/15

P(A and B) = (9/14) × (8/15) = 0.3429

P(C and D) = (5/14) × (7/15) = 0.1667

P(A and B) + P(C and D) = 0.3429 + 0.1667 = 0.5096

Therefore, the probability of the two removed balls being of different colors is 0.5096.

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If firm issues​ commercial paper with $1000000 face-value and pays EAR of​ 7.4%, then amount the firm will receive is $981500.

To calculate the amount the firm receives from issuing the three-month commercial paper, we need to determine the total interest earned over the three-month period.

The Effective Annual Rate (EAR) of 7.4% indicates the annualized interest rate. Since the commercial paper has 3-month term, we adjust the EAR to account for the shorter period.

To find the quarterly interest rate, we divide the EAR by the number of compounding periods in a year. In this case, since it is a 3-month period, there are 4-compounding periods in a year (quarterly compounding).

Quarterly interest rate = (EAR)/(number of compounding periods)

= 7.4%/4

= 1.85%,

Now, we calculate interest earned on "face-value" of $1,000,000 over 3-months,

Interest earned = (face value) × (quarterly interest rate)

= $1,000,000 × 1.85% = $18,500,

So, amount firm receives from issuing 3-month commercial paper is the face value minus the interest earned:

Amount received = (face value) - (interest earned)

= $1,000,000 - $18,500

= $981,500.

Therefore, the amount that firms receives is $981500.

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Answer:

208

Step-by-step explanation:

the formula is:

2*(width*lenght+height*lenght+height*width)

2*(6*8+4*8+4*6)

208

Answer:

\( \: \)

Step-by-step explanation:

In the given figure, it is given a net of cuboid where, the length is 8m, the breadth is 6m and the height is 4m and we have to find the surface area of the cuboid.

So, the formula for finding the surface area is ;

\(\\{ \longrightarrow \qquad{ \underline {\boxed{ \pmb{ \mathfrak{ \: Surface\: area_{(cuboid)}=2(lb + bh + lh )}}}}}} \: \: \bigstar \\ \\\)

Now, we'll substitute the values in the formula :

\(\\{ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(8.6 + 6.4 + 8.4 }}}}}}) \: \: \\ \\\)

\({ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(48 + 24 + 32 }}}}}}) \: \: \\ \\\)

\({ \longrightarrow \qquad{ {{ \sf{ { \: Surface\: area_{(cuboid)}=2(104 }}}}}}) \: \: \\ \\\)

\({ \longrightarrow \qquad{ { \pmb{ \frak{ { \: Surface\: area_{(cuboid)}=208 }}}}}}\: \: \\ \\\)

Therefore,

Answer:

Percentage increase = 36%

Step-by-step explanation:

Kitten's weight = 640 grams

Adult's weight = 2918 grams

To find the percentage increase in the kitten's weight;

We will calculate the increase using the formula;

\( Increase = original \; number - new \; number \)

Substituting the values, we have;

Increase = 2918 - 640 = 2278

Mathematically, percentage increase is calculated using the following formula;

\( Percentage \; increase = \frac{increase}{original \; number} * 100\)

\( Percentage \; increase = \frac{2278}{640} * 100\)

\( Percentage \; increase = 3.56 * 100\)

Percentage increase = 35.5 ≈ 36%

the magnitude of the sum of the three vectors V1, V2, and V3 is approximately 6.3.

To find the magnitude of the sum of the three vectors V1, V2, and V3, we first need to find the sum of the individual components of the vectors and then calculate the magnitude of the resulting vector.

Given:

V1 = 7.0i - 8.0j

V2 = i + j

V3 = -2.0i + 5.0j

To find the sum of the vectors, we add their corresponding components:

\(V_sum = V1 + V2 + V3\)

      = (7.0i - 8.0j) + (i + j) + (-2.0i + 5.0j)

      = 6.0i - 2.0j

Now, let's calculate the magnitude of the sum vector, V_sum:

\(|V_sum| = \sqrt{((6.0)^2 + (-2.0)^2)\)

      \(= \sqrt{(36.0 + 4.0)\)

       \(= \sqrt{(40.0)\)

       ≈ 6.3 (rounded to two significant figures)

Therefore, the magnitude of the sum of the three vectors V1, V2, and V3 is approximately 6.3.

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Answer:

6(4x+3y)

Step-by-step explanation:

24 and 18 have a HCF of 6, so yeah

Answer:

12x+14=70

12x=70-14

12x=56

x=4.6

x=5

Answer:

The answer is .007874989

Step-by-step explanation:

The measure of the angle ∠ABD will be 66°.

Given that:

Angle, ∠FEG = 48°

The central angle is double the angle at the periphery that was subtended by the same chords.

The line AC is perpendicular to EF and the line DC is perpendicular to EG. So, the equation is given as,

∠FEG + ∠HCI = 180°

48° + ∠HCI = 180°

∠HCI = 132°

By the above theorem, the equation is given as,

∠ABD = 1/2 ∠HCI

∠ABD = 1/2 x 132°

∠ABD = 66°

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Answer: It is 6in per year

Step-by-step explanation:

Answer:

6 inches per year

Step-by-step explanation:

30 / 5 = 6

6 inches per year

The equation of the graph after it is reflected is g(x) = 3|x|

The equation of the graph is given as

f(x) = -3|x|

The transformation rule is given as

Reflection over the x-axis

The mathematical representation of this transformation rule is

(x, y) = (x, -y)

The above transformation rule means that

g(x) = -f(x)

So, we have

f(x) = -3|x|

Substitute f(x) = -3|x| in g(x) = -f(x)

g(x) = -1 * -3|x|

Evaluate

g(x) = 3|x|

Hence, the equation of the reflected graph is g(x) = 3|x|

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You can use tangent trigonometric ratio since that deals with perpendicular and base and since the case is related physically to right triangle, thus it would be useful here.

The height of the considered pole is given by Option B:  \(12\sqrt3\)

Height of pole.

Let the height of the pole be x.

In the given figure attached below, we can see that there is a right angled triangle ABC forming.

By using the tangent ratio from angle C, we have:

\(\tan(30^\circ) = \dfrac{\text{AB}}{\text{BC}} = \dfrac{x}{36}\\\dfrac{1}{\sqrt{3}} = \dfrac{x}{36}\\\\x= \dfrac{36}{\sqrt3}\\x = \dfrac{ 12 \times \sqrt3 \times \sqrt 3}{\sqrt3} = 12\sqrt3\)

Thus, the height of the considered pole is given by Option B:  \(12\sqrt3\)

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Answer:B.)

Step-by-step explanation:

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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