Name a pair of addends with a sum of 6?

The given equation is y + 2 = 2(x + 3) and the x-intercept is -2.

To find the x-intercept of the equation y + 2 = 2(x + 3), we need to set y equal to zero and solve for x. The x-intercept occurs when the value of y is zero, meaning the graph crosses the x-axis.

Let's substitute y with 0 in the equation:

0 + 2 = 2(x + 3)

Simplifying the equation:

2 = 2(x + 3)

Dividing both sides by 2:

1 = x + 3

Subtracting 3 from both sides:

-2 = x

The x-intercept is -2. This means that the graph of the equation y + 2 = 2(x + 3) crosses the x-axis at the point (-2, 0).

The x-intercept represents the value of x where the graph intersects or crosses the x-axis. In this case, it occurs when x is equal to -2, and the y-value is zero.

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Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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The DJ will charge them $575.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given that,

Booking fee for DJ = $350

Rate for an hour = $45

Let x be the number of hours DJ is lasting.

Expression to find the total charge for x hours is 350 + 45x.

The Martins want to book the DJ for a party that will last 5 hours.

Cost for the DJ party for Martins = 350 + (45 × 5) = $575

Hence the cost for the DJ party booked by Martins is $575.

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Answer:

log_10(x) - log_10(100000)

Step-by-step explanation:

\(log_{10}(\frac{x}{100000} )\\log_{10}(x) -log_{10}(100000)\\\)

Using the quotient property, log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000).

WE can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.

Thus,

\(\dfrac{a}{\frac{b}{c}} = a \times \dfrac{1}{\frac{b}{c} } = a \times \dfrac{c}{b} = \dfrac{a \times c}{b}\)

We have to Use the quotient property to rewrite;

\(log_{10} \dfrac{x}{(100,000)}\)

SO, \(log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000)\)

Therefore, Using the quotient property, log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000).

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Answer: C. 10

Step-by-step explanation:

931 / 7 = 133

so, 133 units per hour

133x = 1,330

1,330 / 133 = 10

Your answer is 10 hours, or option C

The item most likely to weigh 2 kilograms is a roast chicken.

The size, breed, and any other ingredients or stuffing used can all affect the weight of a roast chicken. Weights of roast chickens can range from petite ones weighing less than 1 kilogram to larger ones weighing more than 2 kilograms.

The other things that we have there would either weigh less than 2 Kg such as a tea bag or much more than 2 Kg such as a horse. The egg and the tea a very light and would be less than 2 Kg in weight while the bag and the horse would be above 2 Kg in weight.

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Answer:

2, 1/3 inches in 3/4

basically you multiply the denominator to match the other problem so 1/3 becomes 4/12 and 3/4 becomes 9/12

so there are 2 1/3 inches in 3/4, this is a sort of rough explanation I reccomend going on Khan Academy and looking for something to help you there

The correct answer is: p(x) = 2(x - 3)² - 1  is the equation of p(x) in vertex form.

In mathematics, a functiοn is a relatiοnship between twο sets οf elements, called the dοmain and the range, such that each element in the dοmain is assοciated with a unique element in the range.

Tο find the equatiοn οf the quadratic functiοn in vertex fοrm, we need tο cοmplete the square.

First, we need to find the x-coordinate of the vertex. We can do this by using the formula:

x = -b/2a

where a, b, and c are the coefficients of the quadratic function ax² + bx + c.

In this case, we can use the values of p(-1), p(0), and p(1) to find a and b:

p(-1) = 31 = a(-1)² + b(-1) + c

p(0) = 17 = a(0)² + b(0) + c

p(1) = 7 = a(1)² + b(1) + c

Simplifying these equations, we get:

a - b + c = 31

c = 17

a + b + c = 7

Substituting c = 17 in the first and third equations, we get:

a - b = 14

a + b = -10

Adding these two equations, we get:

2a = 4

So, a = 2.

Substituting a = 2 in the second equation, we get:

b = -12

Now we can find the x-coordinate of the vertex:

x = -b/2a = -(-12)/2(2) = 3

So the vertex is at (3, p(3)).

Next, we need to find the y-coordinate of the vertex. We can do this by evaluating p(3):

p(3) = -1

So the vertex is at (3, -1).

Now we can write the quadratic function in vertex form:

p(x) = a(x - h)² + k

where (h, k) is the vertex. Substituting a = 2, h = 3, and k = -1, we get:

p(x) = 2(x - 3)² - 1

So the equation of p(x) in vertex form is p(x) = 2(x - 3)² - 1.

Therefore, the correct answer is: p(x) = 2(x - 3)² - 1.

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A graph which shows the relationship given in the table is: B. graph with the x axis labeled number of days and the y axis labeled total amount of sunglasses and a line going from the point 0 comma 56 through the point 1 comma 54.

In this scenario, the number of days would be plotted on the x-axis (x-coordinate) of the scatter plot while the total amount of sunglasses would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.

From the scatter plot (see attachment) which models the relationship between the number of days and total amount of sunglasses, a linear equation for the line of best fit is given by:

y = -2x + 56

Therefore, the y-intercept is equal to (0, 56).

In conclusion, we can reasonably infer and logically deduce that the scatter plot indicates an inverse relationship between the number of days (x) and total amount of sunglasses (y).

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That's is the answer, it is not possible to simplify it.

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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A ray BD bisects ∠ABC so that m∠ABD = 5y – 3 and m∠CBD = 2y +12. Then, the value of y is 5.

An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts. In geometry, we usually divide a triangle and an angle by a line or ray which is considered an angle bisector.

Since we have been given that ray BD bisects ∠ABC so that m∠ABD = 5y – 3 and m∠CBD = 2y +12.Then, m∠ABD = m∠CBD.

So, 5y – 3=2y +12

5y-2y=12+3

3y=15

y=5

Therefore, the value of y is 5.

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The complete question is

Ray BD is inside ∠ABC so that m∠ABD = 5y – 3 and m∠CBD = 2y +12. Find the value of y.

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

The fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

The volume of a rectangular prism can be calculated using the formula:

V = l x b x h..........(i)

where,

V ⇒ Volume

l  ⇒ length

b ⇒ width

h ⇒ height

From the question, we are given the values,

l = 8 inches

b = 4 inches

h = 9 inches

Putting these values in equation (i), we get,

V = 8 x 4 x 9

⇒ V = 288 in³

Therefore, the fish tank has a total volume of 288 inch³. As a result, Jessica's new fish tank has a capacity of 288 inch³ for water.

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Answer:

Arc EF = 11.30

Step-by-step explanation:

For Circle A

S = r∅

18.08=(8)∅

Where ∅ is the angle subtended by the Arc

So

∅ = 18.08/8

∅ = 2.26 (in radians)

Now

For Circle C

S = r∅

S = (5)(2.26)

S = 11.30

Answer:

y=2/3|x-6|

the laser will hit the target

Step-by-step explanation:

vertex= (6, 0)

point= (0, 4)

y=a|x-6|

4=a|0-6|

4=a|-6|

4=a|6|

4=6a

a=4/6

a=2/3

Final Equation

y=2/3|x-6|

plug it into a graphing calculator like desmos and you will see that it touches all the points and it works.

What is linear regression analysis?

A variable's value can be predicted using linear regression analysis based on the value of another variable.

In a linear regression analysis, the slope parameter represents the change in the dependent variable (in this case, systolic blood pressure) for a one-unit change in the independent variable (age). If the estimated slope parameter is significantly greater than 0, it means that there is a statistically significant relationship between age and systolic blood pressure, such that as age increases, systolic blood pressure also tends to increase.

Alpha is the significance level of a statistical test, which is the probability of rejecting the null hypothesis when it is true. If a two-sided hypothesis test was used, it means that the test is testing whether the estimated slope parameter is significantly different from 0, rather than just significantly greater than 0. If the p-value (the probability of observing the test statistic if the null hypothesis is true) is less than alpha, then the null hypothesis is rejected, indicating that the estimated slope parameter is significantly different from 0.

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Answer: 40 years old.

Step-by-step explanation:

Let man's age = a

Let son's age = b

Since a man is 4 times as old as his son, therefore

a= 4b

In 5 years, he will only be 3 times as old as his son, therefore

a+5=3(b+5)

Apply substitution method :

4b+5=3b+15

b=10

a=40

Answer:

2

Step-by-step explanation:

1+1=2

The rank of the points having a maximum moment of inertia is c > a > b.

The figure of 25 % snipped off square-shaped uniform metal plate.

We can rank the points according to the moment of inertia using the relation between the moment of inertia and the radius of gyration of the elements.

The formulae are as follows:

I = mh²

Where h = Radius of gyration, m is mass, and I is the moment of inertia.

Here,

I = mh²

So, the final moment of inertia will be maximum for the axis, which consists of elements having more h (which are more distant from the axis).

From this, it can be concluded that the moment of inertia about an axis through point c is maximum, followed by (a) and then (b).

Rank is c > a > b

Therefore, the points can be ranked according to the moment of inertia about the axis passing through it using its relationship with the radius of gyration.

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The total surface area of the doghouse is 1452 ft²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The dog house has many surfaces including the roofs . The total surface area is the sum of all the area of the surfaces.

area of the roof part = 2( 13×11) + 2( 12× 10)×1/2

= 286 + 720

= 1006 ft²

surface area of the building

= 2( lb + lh + bh) -bh

= 2( 10× 11 + 10×8 + 11×8) - 10×11

= 2( 110+80+88)-110

= 2( 278) -110

= 556 -110

= 446ft²

The total surface area = 1006 + 446

= 1452 ft²

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Answer:

B is greater than A by 1/4 of A

Step-by-step explanation:

Let's use the information given in the problem to write expressions for the values of a and b:

a = b - (1/5)b = (4/5)b

b is greater than a by the difference:

b - a = b - (4/5)b = (1/5)b

To express this difference as a fraction of a, we divide by a:

(b - a)/a = ((1/5)b)/((4/5)b) = 1/4

Therefore, b is greater than a by 1/4 of a.

The number of cups in 44 oz is \(5\frac{1}{2}\) as a mixed measure.

We have,

There are different types of mixed measures, but one common one is the mixed number and fraction form.

To convert 44 oz. to a mixed number and fraction, you need to divide the total amount by the size of each unit in the mixed measure and express the result as a whole number and a fraction.

For example,

If the units are cups and there are 8 oz. in a cup, then:

= 44 oz ÷ 8 oz / cup

= 5.5 cups

So

44 oz. is equivalent to 5 cups and 12 oz.

or

44 oz. =  \(5\frac{4}{8}\) cups = 5 1/2 cups

Thus,

The number of cups in 44 oz is \(5\frac{1}{2}\) as a mixed measure.

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Answer: 60.93 < μ < 69.07

Step-by-step explanation: The true mean of a set of data is between an interval of values with a percentage of precision, e.g., a 99% confidence interval means we are 99% confident the true mean is between the lower and upper limits.

To find the interval, use

x±\(z\frac{s}{\sqrt{n}}\)

z is z-score related to the % of confidence level

In this case, a 99% confidence interval is 2.576

x is sample mean

Calculating:

\(x=\frac{63+69+62+66}{4}\)

x = 65

65±\(2.576\frac{3.16}{\sqrt{4}}\)

65±4.07

Confidence Interval: 60.93 < μ < 69.07

Meaning that we are 99% sure the population means is between 60.93 and 69.07.

Answer:

8.49

Step-by-step explanation:

6^2 + 6^2 = 72

√72 = 8.485... = 8.49

Answer:

The last choice (2,-2, 3)

Step-by-step explanation:

Reason is because just apply the coordinate plane to the bottom of the gray sheet. Then you have exact coordinates of G, because it is directly above C, and C is 2,-2,0, so G is 3 up, so that makes it 2, -2, 3.

Answer:

x<-11 or x>7

Step-by-step explanation:

First, we get the right side to be 0.

\(x^2+4x-77 > 0\)

Then we factor the left side.

\((x+11)(x-7) > 0\)

Using the Snake Method, we determine the intervals as x<-11 or x>7

The probability that a person chosen at random, who lives in the city, lives in the central or north region is 0.56

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, the Probability distribution table shows the proportion of people living in five different regions of a city

Probability = Favourable Outcomes/Total Outcomes

Probability(of selecting a person from central or north region) = 0.44 + 0.12 = 0.56

Hence, probability that a person chosen at random, who lives in the city, lives in the central or north region is 0.56

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Answer:

a) 0.7225

b) 0.5220

c) 0.478

It is not unusual.

Step-by-step explanation:

Probability grocery bags are plastic = 85% = 0.85

a) If two grocery bags are chosen at random, the probability that both grocery bags are plastic would be:

\( ^2C_2 (0.85)^2 (1-0.85)^0 \)

\( = (0.85)^2 = 0.7225 \)

b) If four bags are chosen at random, the probability that all are plastic:

\( ^4C_4 (0.85)^4 (1-0.85)^0 \)

\( = (0.85)^4 = 0.5220 \)

Probability all four bags chosen randomly are plastic bags is 0.5220

c) The probability that at least one of four randomly selected grocery bags is paper:

Let's first check for the probability of getting a paper bag.

P(paper bag) = 1 - 0.85 = 0.15

Probability of getting a paper bag is 0.15

Probability that at least one of four randomly selected grocery bags is paper would be:

\(1 - ^4C_0(0.15)^0 (0. 85)^4\)

\(= 1 - (1)(0.85)^4\)

\( = 1 - 0.5220 \)

\( = 0.478 \)

Since the probability that at least one bag is paper, 0.478 is greater than 0.05, it is not unusual.

Answer: C

Step-by-step explanation: