To which subsets of the Real Numbers does square root of 69 belong.

Answer:

x=2 and y= -1

Step-by-step explanation:

1) we transform first equation

2y= x-4

2y +4= x

So x= 2y+4

2) we insert equation from 1) into second equation

4*(2y+4)+3y=5

8y+16+3y=5

11y+16=5

11y= -11

y= -1

3) insert y into 1)

x= 2*(-1)+4

x= -2+4

x= 2

Answer:

the answers are x=-1 and y=-2

Step-by-step explanation:

becuz mafs

No, there are x values which map to more than 1 y-value.

Given that Matthew examines the relation as shown in the below.

{(4, -11), (3,1), (0,1), (2,6), (3, -1)}

We need to check whether the relation is a function or not,

So, we know that,

A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.

If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.

Here we can see that the y values are repeated, so it is not a function.

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The local tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of increasing local sea level trends. So correct option is C.

Measuring tides involves observing and recording changes in the water level of oceans, seas, and other bodies of water over time. Tides are caused by the gravitational pull of the moon and sun on the Earth's water, which results in a rhythmic rise and fall of water levels.

Tide measurements are important for a variety of reasons, including understanding ocean circulation, predicting flooding and storm surges, and planning shipping routes. Tidal data is also used in climate research, as changes in sea level can indicate long-term climate trends.

The local tide measurement data contradict the satellite data because the number of decreasing local sea level trends is greater than the number of increasing local sea level trends.

The measurement is done because the land surfaces are dynamic with some locations rising or sinking relative to sea level changes are different across world coasts.

Therefore, the Option C is correct.

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The complete question is:

Based on the angle-angle similarity theorem (AA), the similar triangles in the image given can be named as: ΔBAC ~ ΔEDF.

When two triangles have the same shape but have different sizes, it means the triangles have corresponding pairs of congruent angles and corresponding pairs of sides that are proportional to each other. The triangles are said to be similar.

The image given show two set of triangles that have two corresponding pairs of congruent angles, based on the angle-angle similarity theorem, it means that they are similar to each other.

Therefore, the similar triangles are:

ΔBAC ~ ΔEDF.

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Answer:

B, y=x^9

Step-by-step explanation:

edge 2020

Answer:

Noah would need to work 30 hours to equal Mason's earning for 40 hours

Step-by-step explanation:

Mason;

8.10 x 40 = 324

324 ÷ 10.80 = 30 hours.

Helping in the name of Jesus.

Answer:

30 hours

Step-by-step explanation:

40 times 8.10 is 324 and 324 divided by 10.8 is 30 hours

The interest after 7 years is $15, 047. 86

The fornula for simple interest is expressed as;

Simple interest = PRT/100

where;

We have the values to be;

P = $3583

R = 6%

T = 7

substitute into the formula for simple interest

Simple interest , I = 3583 × 6 × 7/100

I = 150, 486/ 100

I = $15, 047. 86

Thus, the interest after 7 years is $15, 047. 86

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Answer: D

Step-by-step explanation:

1 in.=1488 milesx5=7440 miles.

Area= pi x r^2

=pi x (7440)^2 or option D.

Hope this helps :)

A data collected from 35 recent calls on users to perform routine preventive maintenance service :

a) A simple linear regression model is y = b₀ + b₁x.

b)The least-squares method, the value of regression coefficients ,b₁ =14.674 and b₀=1.456.

c) Yes, we have an evidence to support the two variables, X and Y have a meaningful linear connection.

d) The coefficient of determination is, r ²= 0.9524

e) The standard error of the estimate is 9.5693..

f) The expected total service time is , y = 96.84 when the number of copiers x = 6.5..

The study taken by company wants to know the relationship between the number of copiers serviced and the total service time required to repair the copiers.

a) Here, Y is the total amount of service minutes and X is the number of copiers. X and Y are the independent and dependent variables, respectively. A straight forward regression model is , y = b₀ + b₁x

where b₀ is the intercept and b₁ is the slope of the regression line.

b) Using least squares method ,

b₁ = ∑( (xᵢ - X-bar)(yᵢ - Y-bar)/ ∑(xᵢ - X-bar)²)

=14.674

b₀ = Y-bar - b₁ X-bar

=1.456

c) The P value <α = 0.05 , Consequently, we disprove the null hypothesis. Therefore, there is enough data to draw the conclusion that the two variables have a meaningful linear connection. A sizable linear effect of X on Y exists.

d) The coefficient of determination r ² = 0.9524

This means that 95.24% The variation in Y is explained by the regression line.

e) The standard error of the estimate is 9.5693

This means that the average distance the observed valued falls from the regression line is 9.5693

f) H₀ : b₁ =0

Hₐ : b₁ ≠0

The test statistic, t= b₁/SE

=14.674/0.5711

=25.6943

Using the t-table, the critical value for t statistic is tc = 2.0345 , t > tc

Therefore we reject the null hypothesis, H₀.

g) When x = 6.5

y = 1.456+(14.674 6.5)

y = 96.84

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Answer:

Is this for a Trig class?  just wondering

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

we want to find the Hypotenuse (Hyp)  and are given an angle and the adjacent side (adj)  sooo use  CAH  , b/c it has all of the pieces

Cos(37) = Adj / Hyp

Cos(37) = 11 / Hyp

swap  Cos(37) and Hyp... an algebra trick you should know from college algebra or where ever you learned algebra

Hyp = 11 / Cos(37)

now solve with your handy TI 83 / 84 / 89   calculator :)  if you don't have one go get one . :D get the 89 if  you are going into engineering classes...  the 83 /84 if not. (obviously there are many many other good choices, i'm not really a calculator salesman on the side :D )

Hyp = 13.77349...

Hyp = 13.8 ( rounded to nearest 10th )  :)

Answer:

13.8

Step-by-step explanation:

cos37 = 11/x

0.79863551 = 11/x

x = 11/0.79863551 = 13.77 or 13.8

Answer:

6 and 7

Step-by-step explanation:

6^2 = 36

7^2 = 49

36 < 47 < 49

so the two consecutive whole numbers are 6 and 7

The perfect square in this problem is given and factored as follows:

x² + x + 0.25 = (x + 5)².

The perfect square of the sum of two terms is given by the notable product presented as follows:

(x + a)² = x² + 2ax + a².

In the context of this problem, the expression is given as follows:

x² + x +

Then the coefficient a is obtained comparing the above function to the standard function as follows:

x² + x = x² + 2ax.

Then:

2a = 1

a = 0.5.

Hence the final term of the expression is given as follows:

a² = 0.5² = 0.25.

Thus the complete expression is:

x² + x + 0.25.

And the factored expression is of:

(x + 0.5)².

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Complete Question:

Johnny printed two maps of a walking trail near his home. The length of the walking trail on the first map is 8 cm.

(a) Choose a length between 5 cm and 15 cm for the walking trail on the second map: ________cm.  

(b) Determine the scale factor from the first map to the second map.

(c)  A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the triangle landmark on the second map?  

(d) Draw one of the triangles from part C. Label the side lengths and vertices accordingly. You may use this drawing tool or draw your triangle on paper:

Answer:

(a) Length = 4cm

(b) Scale factor = 0.5

(c) 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale

(d) See attachment for triangle

Step-by-step explanation:

(a) Choose a length between 5 cm and 15 cm

\(Length =4cm\) --- This is solely up to you (you can make use of any length between 5 cm and 15 cm)

(b) The scale factor

The scale factor (k) is calculated as:

\(k = \frac{New\ Length}{Old\ Length}\)

\(k = \frac{4cm}{8cm}\\\)

\(k = 0.5\)

(c) What are side lengths of 3 cm, 4 cm, and 5 cm on the second landmark

Using:

\(k = \frac{New\ Length}{Old\ Length}\)

The old lengths, in this case are: 3cm, 4cm and 5cm

Make New length the subject

\(New\ Length = k * Old\ Length\)

When \(Length = 3cm\)

\(New\ Length = 0.5 * 3cm = 1.5cm\)

When \(Length = 4cm\)

\(New\ Length = 0.5 * 4cm = 2cm\)

When \(Length = 5cm\)

\(New\ Length = 0.5 * 5cm = 2.5cm\)

So: 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale

(d) See attachment for triangle

Answer:

it is too blury to read

Step-by-step explanation:

Answer:

a)$15.95

b) 8kg

Step-by-step explanation:

a)Approach this question by finding how much does it cost for 1g

So,

$2.1/50=$0.042per gram

then, multiple 380 to get the cost of sweets for 380 g

$0.042/gram*380gram=$15.96(Note: the gram cancel out each other)

Which is $15.95 as the question requested

b)This question stated that 3/4 of the metal has 15 kg

So, in order to find the total mass of metal we invert the 3/4 fraction

e.g 4/3*15=20kg

now we have the total mass we can find the mass for 2/5 of the metal

2/5*20kg=8kg

Answer:

it equals 33

Step-by-step explanation:

hope this helps and have a blessed day

The value of m + n is given as follows:

A. 18.

The exponential expression for this problem is defined as follows:

\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)

Applying the power of power rule, we have that the exponents are given as follows:

Then the values of m and n are given as follows:

m = 7, n = 11.

Thus the sum is given as follows:

m + n = 7 + 11 = 18.

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Answer:

Principal = 20833.334

Step-by-step explanation:

simple interest = $5000.

Rate = 3%

Time = 8 years.

Principal = ?

Principal =

\( = \frac{100 \times simple \: interest}{r \times t} \\ = \frac{100 \times5000 }{3 \times 8} \\ = \frac{500000}{24 \\ } \\ = 20833.334\)

Principal = $20833.334.

Answer:

y = -1/3 x + 2

Step-by-step explanation:

I got this from replicating the graph in Desmos. I hope this helps!

Answer:

1 4/5 of a necklace, or 1.8 necklaces.

Step-by-step explanation:

As we know, an hour has 60 minutes, and Janet can make 3/5 of a necklace in 20 minutes. 60/20 is 3. So we need to mulitply 3/5 by 3 to get the amount of necklaces she can make in an hour. When we do this, we get 9/5. We can convert this to 1 4/5, and as decimal form, this is 1.8. That is our answer. I hope this helps!

16 is the number  gives a result of −4 when 8 is subtracted from the quotient of the number and 4.

A division is a process of splitting a specific amount into equal parts.

If it gives a result of -4 then our equation will have ___ = -4

If we subtract 8 from the quotient of a number and 4 we have  x/4 - 8

Our equation is:

x/4 - 8 = -4    

Add 8 to both sides

x/4=-4+8

x/4=4

Multiply both sides by 4

x=16.

Hence, 16 is the number  gives a result of −4 when 8 is subtracted from the quotient of the number and 4.

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Answer:

The coordinates of point L are:

(x₁, y₁) = (-22, 17)

Step-by-step explanation:

We know that the Midpoint Formula is given by:

\(\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\)

In our case:

M(-12, 6) is the midpoint. Thus,

(x, y)  = (-12, 6)

N(-2, -5) is the second point, Thus,

(x₂, y₂) = (-2,-5)

We have to determine the coordinates of point L.

Let (x₁, y₁)  be the coordinates of point L.

substituting (x, y)  = (-12, 6), (x₂, y₂) = (-2,-5) in the Midpoint Formula

\(\left(-12,\:6\right)=\left(\frac{-2+x_1}{2},\:\:\frac{-5+y_1}{2}\right)\)

Determining the x₁ coordinate of the point L

\(\frac{-2+x_1}{2}=-12\)

\(-2+x_1=-24\)

Add 2 to both sides

\(-2+x_1+2=-24+2\)

Simplify

\(x_1=-22\)

Determining the y₁ coordinate of the point L

\(\frac{-5+y_1}{2}=6\)

\(-5+y_1=12\)

Add 5 to both sides

\(-5+y_1+5=12+5\)

Simplify

\(y_1=17\:\:\:\)

Therefore, the coordinates of point L are:

(x₁, y₁) = (-22, 17)

Answer:

the person up top is correct

Problem: Use the distributive property to remove the parentheses.

6(4-w)​

Solution:

this is equivalent to :

then, we have that the correct solution would be:

Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172

Answer:

what is this what does this mean

Step-by-step explanation:

Answer:

0.5625

Step-by-step explanation:

80-35=45

45/80 x 100%=0.5625