Find the value of a and b in the following = a + b​

Answer:

The greatest integer solution to the inequality 1 < (c - 1)^2 ≤ 36 is c = 6.

Step-by-step explanation:

The inverse statement is false.

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ASA stands for "Angle-Side-Angle." Triangles classified as ASAs have two known angles and a common side. The ASA triangle ABC, with provided angles B and C and their common side a between them, is depicted below.

What does a congruence mean in mathematics?

If two numbers can be placed exactly over one another, they are said to be "congruent." When placed one on top of the other, the two bread slices are the same size and form. Things that are precisely the same size and shape are said to be congruent.

Describe ASA congruence through an example.

ASA (Angle-Side- Angle) 

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

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Answer:

-3,671.68187

Step-by-step explanation:

-1.93273(2018) + 228.56727 = -3671.68187

Answer:

Write a linear model in slope-intercept form, then substitute 18 for x and solve for y.

Step-by-step explanation:

Step-by-step explanation:

To work out the ratio eg, we need to first find a common term between f and g.

We can do this by finding the least common multiple (LCM) of their respective ratios.

The ratio for f: g is given as 2:3, which means that for every 2 parts of f, there are 3 parts of g.

The ratio for e: f is given as 3:7, which means that for every 3 parts of e, there are 7 parts of f.

To find a common term between f and g, we can multiply the ratio for f: g by 3 (since 3 is a common multiple of 2 and 3):

f: g = 2:3

3f: 3g = 2(3): 3(3)

3f: 3g = 6: 9

Now we can see that the ratio of f to g is 3:4 (by dividing both sides of the above equation by 3):

f: g = 3:4

Therefore, the ratio of e: g can be found by combining the ratios of e: f and f: g:

e: f = 3:7

f: g = 2:3

Multiplying both ratios together, we get:

e: f: g = 3:7:21

Simplifying this ratio by dividing each term by 3, we get:

e: f: g = 1:2⅓:7

Therefore, the ratio eg is 1:7 in its simplest form.

Answer:

e/f = f/g

3/7 = 2/3

2/7

2:7

Step-by-step explanation:

The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

In the function equations, we can see that

f(x) = x²

p(x) = -f(x) - 3

So, we have

Vertical Difference = 0 - 3

Evaluate

Vertical Difference = - 3

This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).

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Answer:

The linear equation satisfying the given condition is,

\(x=t+15\)

where x is Ravi's age and t is the number of years

(after 10 years (t=10) his age becomes 25)

Step-by-step explanation:

Let x be Ravi's age

Now, his  current age is unknown, but if you add 10 to it, then it becomes 25, so

x + 10 =25

so, his current age is x = 25 =10

x = 15

Now, we find the linear equation satisfying the given condition,

Let t be the number of years that have passed since the present time

so, if 0 years have passed, his age will be 15 years

after 1 year, his age will be 16 years

after 10 years, his age will be 25 years and so on

so

\(x = t + 15\)

this satisfies the given condition, since if we add ten years i.e t = 10,

then we get 25

The equation is:

Work/explanation:

Here's the linear equation for Ravi's age.

Ravi's age is x.

If you add 10 to x you get x + 10.

That gives 25.

So the linear equation is x + 10 = 25.

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1

The percentage of the students that do not like camping like travelling out of state is B. 33%

A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

The total number of students who do not like camping is 110 and the total number of students that do not like camping like travelling out of state is 36.

The percentage of the students that do not like camping like travelling out of state is:

= 36 / 110 × 100

= 33%

Therefore, the correct option is B.

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The number of inches by which each dimension must be increased is 10 inches.

Let length and width be increased by x.

so we get, the length = (10 + x) and breadth = (5 + x)

(10 + x)(5 + x) = 6 × 10 × 5

50 + 10 x + 5x + x² = 300

x² + 15x- 250 = 0

x² + 25x- 10x - 250 = 0

x  (x + 25) - 10 (x + 25) = 0

(x + 25)(x - 10) = 0

x = -25 is not the right choice as length cannot be negative.

so x = 10

so both dimensions should be increased by 10 inches.

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The complete question is -

A rectangular picture frame is 5 inches wide and 10 inches tall. You want to make the area 6 times as large by increasing the length and width by the same amount. Find the number of inches by which each dimension must be increased.

Answer:

The first value of a relation is an input value and the second value is the output value. A function is a specific type of relation in which each input value has one and only one output value.

An input is an independent value, and the output value is the dependent value, as it depends on the value of the input.

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think this is the answer

576.628

Answer:

\(\frac{72776}{125}\)

Step-by-step explanation:

500+76+6+1/5+1/125

500*125/125 +76*125/125 + 6*125/125 +25/125 +1/125

62500+9500+750+25+1/125

\(\frac{72776}{125}\)

or 582.208

or

\(582 \frac{26}{125}\)

Answer:

26 meters

Step-by-step explanation:

To solve the perimeter you need to know the formula which is 6 + 7 x 2 and you get 26 meters

Based on the fact that Sean made a dozen brownies with 3/4 cups of sugar, the amount of sugar in each brownie is 1 / 16 cups of sugar

A dozen brownies were made with 3/4 cups of sugar. This means that 12 brownies were made by using 3/4 cups of sugar.

To find the amount of sugar used per brownie, the formula is:
= Number of cups of sugar / Number of brownies made

Solving for the cups of sugar per brownie gives:
= 3/4 ÷ 12

= 0.75 / 12

= 0.0625

= 1 / 16 cups of sugar

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Answer:

1/36

Step-by-step explanation:

324 = k(108)^2

(18)^2 = k(18 x 6)^2

(18)^2 = k(18)^2 x (6)^2

1/36 = k

length= 15cm

width= 7cm

area of the rectangle.

area of rectangle= length × width

a= l × w

a= 15 × 7

= 105 cm^2

Answer:

105 cm²

Step-by-step explanation:

The formula to find the area of a rectangle is :

Area = length × width

Given that,

length ⇒ 15 cm

width ⇒ 7 cm

Let us solve it now.

Area =  length × width

Area = 15 × 7

Area = 105 cm²

Answer:

Step-by-step explanation:

6) n + 13

7) 3n

8) n - 4

9) n + 5

10) 7 *n =  7n

11) n - 14

12) \(\frac{n}{5}\)

Answer:

Step-by-step explanation:

Letter B is the correct answer

Initial population is 200, tripled every hour

200 x 3 = 600

First hour 200

Second hour = 600 + 200 = 800

Third hour 800x3 = 2400 + 800 = 3200

and so on.

Hello!

x = the intersection

5x + 3 = 2x + 15

5x - 2x = 15 - 3

3x = 12

x = 12/3

x = 4

Answer: X=4

Step-by-step explanation: 5x + 3 and 2x + 15 are congruent. sub tract 3 from each side, 5x and 2x + 12 are equal. Subtract 2x from each side, 3x and 12 are equal. Divide each side by 3 and get X=4

Answer:

Find the equation of the straight line that has slope m = 4 and passes through the point (–1, ... In the slope-intercept form of a straight line, I have y, m, x, and b. ... ...so y = ( – 2/3 ) x + 8/3

The answer choice which gives the best-example of the "random-sample" is (c) Ask 10 people from each "grade-level" at Allison's school about how many games they have on their phones.

A "Random-Sample" is a subset of a larger population which is chosen in such a way that each member of the population has an equal chance of being selected.

The Option (c) :  gives the best example of a random sample that Allison could use to help answer her question. By asking 10 people from each grade level at her school, Allison can obtain a sample that includes a variety of ages, genders, and backgrounds.

This can help to ensure that the sample is representative of the population she is interested in studying.

Option (a) : is not a random sample because it only includes teenagers who happen to be at the grocery store at the time Allison is conducting her survey. This may not represent entire population of teenagers at her school.

Option (b) : is not a random sample either because it only includes people who happen to be at the library on Saturday morning. This may not be representative of the entire population of teenagers at her school.

Option (d) :  is not a random sample because it only includes teenagers from 20 different countries. This may not be representative of the population of teenagers at Allison's school or in her local area.

Therefore, the correct option is (c).

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This solids are similars if the quotients between their correspondent sides are all the same. In this cases the quotients would be:

If you calculate those quotients you'll see that they all give 1.5 so the first question is answered, the solids are similar.

The scale factor determinates the relationship between two similar solids or geometric figures. It's usually used while constructing scale models of bigger things like building. To calculate we are going to use the rule of three since the factor tells how many inches in one solid represents an inch in the other one.

We know that 28 inches in the smaller one represent 42 in the bigger one so:

28 in --------- 42 in

1 in ------------ x

Where:

So the value of the quotients I mentioned before is the scale factor of this pair of solids and it's 1.5

Answer:

B

Step-by-step explanation:

Look at the X and Y coordinates carefully. X and Y coordinates are swapped and Y coordinate got negative sign.

Step-by-step explanation:

The formula:

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=

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2

(

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1

+

�

�

)

S

n

=

2

n

(a

1

+a

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is used to solve for the sum of the arithmetic sequence given the first term a₁, the number of terms n, and the last term in an.

Example:

3, 6, 9, 12, 15,...,123

The first term, a₁ = 3

The last term an = 123

Common difference, d = 3 (because the sequence are multiples of 3)

Number of terms, n= ?

Find the number of terms, n:

an = a₁ + (n-1) (d)

123 = 3 + (n-1) (3)

123 = 3 - 3 + 3n

123/3 = 3n/3

n = 41

To find the sum of the given sequence without adding 3 + 6 + 9, ... + 123, we use the formula:

S₄₁ = (41/2) (3 + 123)

S₄₁ = (41/2) (126)

S₄₁ = (41)(63)

S₄₁ = 2,583 ⇒ the sum of the given sequence

Answer:

(12 × 3) × 8 = 12 × (3 × 8)

Step-by-step explanation:

The associative property of multiplication states that the way in which factors are grouped in a multiplication expression does not change the product. In other words, if we have three or more numbers to multiply, it doesn't matter which order we multiply them in.

Out of the given number sentences, the example of the associative property of multiplication is:

(12 × 3) × 8 = 12 × (3 × 8)

This is because we can group the factors in either of the two ways and get the same product.

Hope this helps!