9 is substracted from the product of 7 and 3​

Answer:

X=11

Step-by-step explanation:

11-7=4 5(4)=20 So X equals 11

Answer:

39

Step-by-step explanation:

I assume the father's age is a 2-digit number. He is not 9 years old or younger, and he is not 100 years old or older.

The sum of the digits of a two-digit number goes up by 1 from one number to the next unless the number ends in 9.

For example, from 17 to 18, the sum of the digits goes from 8 to 9.

If the number ends in 9, for example, 29, the digits add to 11. Then the next number is 30, and now the sum of the digits is 3, which is less than 11.

The father's age now is a number whose sum of digits is not only greater than the sum of the digits next year, but it is 3 times greater.

Let's look at 2-digit number and the next number and the sum of their digits.

19, 20; sums: 10, 2; 10/2 = 5, not 3

29, 30; sums: 11, 3; 11/3 ≠ 3

39, 40; sums: 12, 4; 12/4 = 3

Answer: The father is 39 years old.

Answer: 39 years

Step-by-step explanation:

The father says that adding both of the digits in his age will be 3 times greater than adding both digits one year later. Before we even start answering the problem, this tells us that the father's age has 2 digits in it.

Let's represent the 10's digit with x, and the 1's digit with y. If the father's age was 45, for example, x would be 4 and y would be 5.

Let's first make an equation to represent this situation:

The sum of the digits of the father's age would be represented by x + y, as x and y are the 10's digit and 1's digit respectively.

The father's age next year would be one greater than the current year, which makes y become y + 1. Then, the sum of the digits would be x + y + 1.

Now, we must make the first equation 3 times larger than the second and solve for the sum.

\(x + y = 3(x+y+1)\\ x+y=3(x+y)+3\\ 1(x+y)-3(x+y)=3\\ -2(x+y)=3\\ x+y=\frac{3}{-2}=-\frac{3}{2}\)

However, we can neither have a fraction or a negative as a sum of two digits in an age, as digits are always positive integers from 0 to 9.

This flaw came from the assumption that after 1 year, the sum of the digits will be x + y + 1. This isn't always true, as any number with its 1's digit of 9 turns into 0 the next year, and not 10. Instead, the x value increases by 1.

For example, someone the age 69 becomes 70 the next year, x increases by 1 and y becomes 0.

Let's make a new equation to try and see this.

We know that his current age has to have y = 9 for his new age to be y = 0. Therefore, the current sum of digits is x + 9.

The next year, we know that the 10's place will increase by 1 and the 1's place becomes 0. Therefore the sum of digits is x + 1 + 0, or x + 1.

Since the current sum of digits is 3 times greater than the sum next year, let's multiply the second equation by 3 to get equality. We just need to calculate the 10's digit, as the 1's digit is already 9.

\(x+9 = 3(x+1)\\ x+9=3x+3\\ 9=2x+3\\ 6=2x\\ x=3\)

Since the 10's digit (or x) is 3 and the 1's digit (or y) is 9, the father's age is 39, and he will turn 40 next year.

The environmental agency should sample at least 746 vehicles.

In order to determine how many cars should be sampled for a full investigation, we can use the formula for sample size:
n = (Z^2 * p * q) / E^2
where:
- n = sample size
- Z = the Z-score for the desired level of confidence (in this case, 1.645 for 90% confidence)
- p = the proportion of cars in the population with faulty emissions systems (which we can estimate as 12/60 = 0.2 based on the initial sample)
- q = 1 - p
- E = the desired margin of error (2% in this case, or 0.02)
Plugging in these values, we get:
n = (1.645^2 * 0.2 * 0.8) / 0.02^2
n ≈ 746
Therefore, the environmental agency should sample at least 746 vehicles for a full investigation in order to estimate the percentage of cars violating clean air emissions standards with a margin of error of 2% and 90% confidence.

Hence  ,To estimate the percentage of cars violating clean air emissions standards with a margin of error of 2% and 90% confidence, the environmental agency should sample at least 746 vehicles for a full investigation.

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Answer:

x = 46

Step-by-step explanation:

These 2 angles would add up to 180 degrees.

So 41 + (3x+1) = 180

Let's solve for x.

41 + 3x + 1 = 180

Combine like terms.

42 + 3x = 180

subtract 42 from both sides

3x = 180-42

3x = 138

divide both sides by 3

x = 46

C. The image shows two right triangles with one pair of congruent leg and congruent hypotenuse. Therefore, the congruence is HL.

D. This shows two right triangles that share one side (a leg) and have the other leg also congruent to each other. Therefore, their congruence is LL and SAS (leg, right angle, leg).

E. This shows two triangles with a pair of congruent sides, a pair of congruent angles, and they have a common side, therefore congruent since they are the same.

So, their congruence is SAS.

F. This shows two right triangles sharing the same hypotenuse, and with a pair of congruent angles. Therefore, their congruence is HA.

G. This shows two right triangles with congruent hypotenuses, one congruent pair of legs, and two congruent pairs of angles (if we include the right angle).

So, their congruence is HA and HL.

H. The two triangles here have a right angle, a pair of congruent sides, and a pair of angles that are opposite by vertex, so they are also congruent angles.

Therefore, their congruence is ASA.

Answer:

5 lbs. for $9.95 AND 3 lbs. for $5.97

Step-by-step explanation:

9.95 / 5 = 1.99

5.97 / 3 = 1.99

2.05 / 1 = 2.05

The statement that describe the situation are;

E. While on the first roller coaster, the height switches from positive to negative approximately every 40 seconds,

D.While on the second roller coaster, the height switches every 80 seconds.

Since Function is a type of relation, or rule, that maps one input to specific single output. It is Linear function which is a function whose graph is a straight line

While on the first roller coaster, we can see that the function modeling Michael's height switches from positive to negative approximately every 40 seconds, meaning he changes from being at a height above the platform to below the platform approximately every 40 seconds.

While on the second roller coaster, we can see that this change occurs every 80 seconds.

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When rolling a number cube one time, there are several things that are true. Here are three options:

1. The outcome will be a whole number between 1 and 6: Since the number cube has faces numbered from 1 to 6, rolling it one time will result in one of these whole numbers.

2. Each face has an equal chance of landing face-up: The number cube is designed in such a way that each face has an equal probability of landing face-up when rolled. This means that the chances of rolling a 1, 2, 3, 4, 5, or 6 are all the same.

3. The outcome is independent of previous rolls: Rolling the number cube one time does not depend on or affect any previous rolls. Each roll is considered an independent event, so the previous outcome does not influence the next roll.

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Yes, it would be a scalene triangle. This can happen.

The Triangle sides have to be greater than c.

a+b > c

With the given inches, substitute it into the equations:

a = 3 in

b = 5 in

c = 9 in

3 + 5 > 9

Solve.

9 > 9

This is False since because a + b is not > c. a + b is equal to c.

Answer:

27

Step-by-step explanation:

30% of 90 is 27

30/100 = ?/90

by cross multiplying, we can see that 30 times 90 is equal to 2700.

2700/100 = 27

? = 27

PLEASE GIVE BRAINLIEST!

Hope this helps :)

Answer:

=7*a-2

=7a-2

Step-by-step explanation:

_a-_

ATQ,

7 times means 7*

as per the question,

Nine times (7*) a number (a) minus two (-2)

Hope this helps you!! (ㆁωㆁ)

(a)image averaging is a very effective method of reducing noise in images. Image averaging reduces noise by adding multiple images of the same scene together and then dividing by the number of images added.The conditions that must be fulfilled for the image averaging method are as follows:-

(i) The background of the image must not move between each image capture.- The noise present in the image must be random.- The source of the noise must be consistent.

(ii)The mathematical expression that characterizes the noise in the resultant image when K images are averaged, as K becomes large is given by;sigma_n^2/K

Where;sigma_n^2 is the variance of the noise and K is the number of images that have been averaged.

Therefore, as K increases, the variance of the noise in the resultant image reduces, and thus, the noise reduces.When either method can be used for noise reduction, the temporal image averaging method would be the preferred method to select.

(iii)This is because it uses a sequence of images that are taken at different times, usually at high speeds, to produce a single image that is free of noise. This method is best when dealing with fast-moving objects, and it can be used in situations where the camera cannot be stabilized and is experiencing unwanted vibration or shaking.

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Answer:

(9,4) right

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

there are very few irrational numbers, such as

\( \sqrt{2} \)

or π

most of irrational numbers have a lot of decimal digits. And also numbers with 2 decimal digits are all rational because you can write them as

\( \frac{49}{100} \)

Answer:

a) 7.48 m²

b) 1.54 m³

Step-by-step explanation:

a) ¿Cuánta chapa se necesita para construir un tanque cilíndrico cerrado con un radio de base de 0.7 my una altura de 1 metro?

Debemos calcular el área de superficie de un tanque cilíndrico cerrado

radio = 0.7 m

Altura = 1 m

La fórmula = 2πr (h + r)

Por eso,

= 2 × π × 0.7 (0.7 + 1)

= 7.47699 m²

Aproximadamente = 7.48m²

b) Debemos encontrar la capacidad del cilindro en m³

Esto significa que debemos calcular el volumen del cilindro.

= π × r² × h

= π × 0.7² × 1

= 1.53938 m³

Aproximadamente = 1.54 m³

Answer:4

Step-by-step explanation:

The square root of 9 is 3, 3 multiplied by 2 is 6, and 10 - 6 =4.

Step-by-step explanation:

10% more = 110% of the number.

110% of the number = 132

100% of the number = 132 * (10/11) = 120.

The number is 120.

Answer: 15/17

Step-by-step explanation: I took the K12 Math test!

Based on the trigonometric calculations, the value of cosC is equal to: C. 15/17.

In Mathematics, there are six (6) types of trigonometry graph that are used to graphically represent a trigonometric function and these include:

Based on the right-angled triangle attached, we can deduce the following parameters:

Opposite side (BA) = 8 units.

Adjacent side (BC) = 15 units.

Hypotenuse (AC) = 17 units.

In trigonometry, cosine (cos) is given by this mathematical expression:

cosC = BC/AC

cosC = 15/17.

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Answer:

B

Step-by-step explanation:

-34x-(-3)=6

-34x+3=6

-34x+3-3=6-3

-34x/-34=3/-34

x=3

Answer:

60°

Step-by-step explanation:

Let m<R = x.

Let m<Q = 2x.

m<Q + m<R = 90

2x + x = 90

3x = 90

x = 30

m<Q = 2x = 2(30) = 60

Answer: 60°

The dimensions of the pool table are 40, 10 and 60inch.

We are given that;

Height= 46in

Width= 50in

Now,

50-x=90

x=90-50

x=40

BC=x=40

CD=50-BC

By substituting the value of BC

CD= 50-40

CD= 10

DE= 60

Therefore, by algebra the answer will be 40, 10 and 60inch.

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Option D is the correct answer. if the residuals from a fitted regression violate the assumption of homoscedasticity their variance is not constant.

Homoscedasticity: It is an assumption of equal or similar variances in different groups are being compared. It is a condition in which the variance of the residual, or error term, in a regression model, is constant.

This is one of the most important assumptions of parametric statistical tests because they are sensitive to any dissimilarities. It is valid when X and Y are independent.

To deal with this First, we have attempted to transform your target using square root, log, reciprocal square root, or reciprocal transformations.

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Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

Answer:                                            

p(x)=x^3-4x^2+5x-2

=(2)^3-4(2)^2+5(2)-2

=8-4(4)+10-2

=8-16+10-2

=0

hope it helps mark as brainliest

Answer:

remainder is zero  

quotient is x^2-2x+1

Step-by-step explanation:

The given points are C(26,-2) and D(29,4).

We use the distance formula to find CD.-

Where,

Replacing all these coordinates, we have

Answer:

The first Graph

Step-by-step explanation:

its not the third because it's a dotted line, so it wouldn't be equal to. it's not the second because it's shaded in the wrong place, making it less than.

Answer:

Assertive behavior is all about standing up for yourself, but aggression usually involves threatening, attacking, or (to a lesser degree) ignoring others. Assertive individuals stand up for themselves—for their beliefs, their values, their needs. And they do so in a respectful, unthreatening, nonviolent way.

Step-by-step explanation:

Answer:

Assertive behavior is all about standing up for yourself, but aggression usually involves threatening, attacking, or (to a lesser degree) ignoring others.

Step-by-step explanation: