Linus leaves his house and walks 7 blocks West to avoid Lucy. He then walks 3 blocks North to visit Charlie Brown. What is the shortest distance between the houses? Round to the nearest tenth.

Solution:

Given the inequality;

The graph of inequality without an equal sign is done with broken lines,

The y-intercept is;

Thus, the graph is;

where are given that the reference temperature of a freezer is -18 C, if the temperature is -4 C. the difference in temperature will give us how many degrees warmer the freezer is:

To solve the operations we need first change the sing inside the parenthesis since it is preceded by a minus sing.

Solving the operations:

Therefore, the freezer is 14C warmer.

Explanation

Regression analysis is a set of statistical methods used to estimate relationships between a dependent variable and one or more independent variables.

Before one determines if one will do a regression analysis, we will have to check for the scatter plot

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.

Thus, the answer is a scatter plot

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

graph: g(x)

function: f(x) = 4 * 2 ^ x

Step 02:

greater value ==> x = 2:

graph: g(x)

x = 2 , y = 18

g(2) = 18

function: f(x) = 4 * 2 ^ x

The answer is:

g(x) has a greater value at x = 2

Answer

Interest rate = 6%

Explanation

From the information given in the question,

Interest, I = ₱1,200

Principal, P = ₱10,000

Time, T = 2 years

Interest rate, R = ?

Using Simple Interest formula:

Since I, P and T are know, we shall substitute these values into the formula to get R.

Therefore, the interest rate is 6%

To solve this question, we have to relate period (seconds to make a cycle) and its length.

We can relate them as:

where g is the acceleration due to gravity and L the length of the pendulum.

If T1=2.00 and T2=1.99, we can relate them as:

Then, we know that the length of should be 1% larger than it actually is.

As we do not know the actual length, we will use the first equation to calculate the actual length first and then the correct length for a period of 2 seconds.

NOTE: all the variables and constants are in meters and seconds.

As the correct length is 1% larger than 0.981 m, we can calculate the increase in length as:

Answer: 0.00981 m

Solution:

Given two triangles;

Triangle ABC and DEF are similar only if;

Thus, we have;

Also,

Also,

FINAL ANSWER: Triangle ABC and DEF are similar triangles

V = d/t

Speed = distance/time

V = 8100km/9hr = 900Km/hr

Answer:

V = 900 km/h

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the trigonometric ratios

STEP 2: Analyze the given scenario to get the details given

We were given the length of the piece of wood needed to make the ramp as 3.5m long, this implies that the length of the side is 3.5m. From the given image, this is the hypotenuse.

The angle of elevation is 28 degrees,

The height of the platform from the image will be opposite since it is the side that is facing the angle 28 degrees.

Joining all these together, we have a right-angled triangle given below:

From the given ratios in step 1, since we know tha hypotenuse and the opposite and also the theta, therefore the correct ratio to use is:

Therefore, the given claim of needing tangent ratio to find the height of the platform is not a reasonable approach because the adjacent which is the base is not given.

Let's begin by listing out the information given to us:

The vertices of the triangle is given as:

Dilation by a scale factor of 2 means the triangle will be enlarged, the coordinate of the vertices become:

We will then graph this

write the equation for the Connie's pool and Paula's pool

Connie's

y=cubic yards of water remaining in the pool

x=time in seconds

Paula's

y=cubic yards of water in the pool

x=time in seconds

write the inequality in order for connie's pool to have less water

solve the inequality for x

After 41/7 seconds Connie's pool will have less water than Paula's.

Solution

- In order to solve this question, we need to apply the following rules:

- Applying this rule, we can proceed to solve this question.

- Based on these rules above, we can select the correct options as follows:

there are 100 1/5s in 20

We have the following:

A = 81, replacing:

therefore, each side measures 9 in

we are given two points

(8,19) and (5,1)

firstly, we need to calculate the slope

slope = y2 - y1 / x2 - x1

from the points

x1 = 8, y1 = 19, x2 = 5, y2 = 1

slope = 1 -19 / 5 - 8

slope = -18/-3

negative will cancel each other

slope = 18/3

slope = 6

slope intercept equation is

y - y1 = m(x - x1)

m = slope = 6

y1 = 19 and x1 = 8

y - 19 = 6(x - 8)

open the parentheses

y - 19 = 6*x - 6*8

y - 19 = 6x - 48

make y the subject of the formula

y = 6x - 48 + 19

y = 6x - 29

We know that the average speed (v) can be calculated as the quotient between the distance D and the time t.

As v = 59 mi/h and D = 377.6 mi., we can calculate the time as:

Answer: he drove for 6.4 hours.

SOLUTION

The given data in desending order is:

Recall that the median is the middle number of set of numbers arranged in ascending or descending order.

Notice that there are 10 data values Hence the area two middle value

The median is the average of the middle values:

Hence the median is 17.5

Recall that an outlier is a data point that differs significantly from other observations

Hence the outlier is 101.

Note that new data will become:

Therefore the median is 15

The zeroes of the polynomial  f(x)= x³ - 4x² + x + 6 = 0 are x - 1, x = 2
and x = 3.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, f(x)= x³ - 4x² + x + 6 = 0.

Now, zeroes of the polynomial should be factors of 6 they are ±1, ±2. ±3, ±6.

Now at x = 1 f(x) = 4 so not a zero, at x = - 1, f(x) = 0 so x = - 1 a zero

at x = 2 f(x) = 0 so x = 2 is a zero,

at x = 2 f(x) = so x = 3 is a zero.

learn more about polynomials here :

https://brainly.com/question/20121808

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The scale drawing is

Inches : Feet

0.5 : 3

We need to find the length of the classroom on the drawing if it is 30 feet

Let us use the ratio above to find it

Inches : Feet

0.5 : 3

x : 30

by using cross multiplication

3x = 15

Divide both sides by 3 to find x

x = 5

The length on the drawing must be 5 inches

a) 6 inches is incorrect because the length on the drawing must be 5 inches

b) The student is 6 ft long

let us use the ratio above to find his length on the drawing

Inches : Feet

0.5 : 3

y : 6

By using cross multiplication

Divide both sides by 3 to find y

b) his length on the drawing is 1 inch

for number c) choose any length by feet and use the ratio to find its length on the drawing

Your height is 8 feet

Let us find it in the drawing

Inches : Feet

0.5 : 3

h : 8

By using cross multiplication

Divide both sides by 3 to find h

c) Your height on the drawing is 4/3 inches

The formula to find the variance of a binomial distribution given the values n and p is:

In this case, you have:

Then

Now, the standard deviation is the square root of the variance. So, you have

Therefore, the variance and standard deviation of the binomial distribution with the given values n y p are

SOLUTION

Let x be a construction company,

Let y be a biotech company

From the question, we have that :

The correct answer is d. $273

Fergus worked 48 hours in the week. This means that for 40 hours he was paid $5.25 per hour; And for 8 hours he was paid 150% of the normal (150% is one and a half time)

Then for the regular paid hours:

$5.25 per hour by 40 hours => 5.25*40= $210

Now for the 8 remaining hours we need to calculate how much Fergus is paid by hour.

Then 50% of $5.25 is the same as 5.25 divided by 2: 5.25/2 = $2.625

Then the 150% is equal to 100% + 50%. The 100% is $5.25 and the 50% is $2.625

5.25 + 2.625 = $7.875

This is what Fergus gets paid for every overtime hour. This week he worked 8 overtime hours.

Then, $7.875 * 8 = $63

Now the total earning of the week is equal to $210 + $63 = $273 and that's option D.

The cost of shipping is the flat rate plus the cost per pound times the number of pounds

c = flat rate + rate* pounds

c = 4 + 0.85*p

The write the second part in the opposite order

c = 0.85p +4

When we add the order doesn't matter

Answer B c = 0.85p + 4

Answer:

The remaining zero is;

Explanation:

Given that two of the zeros of a polynomial are;

to get the remaining zero.

Recall that according to complex conjugates, complex roots/zeros comes in pairs;

where a and b are real numbers.

Applying the rule to the given roots.

Since we have a complex root;

we must also have the other pair of the complex root;

Therefore, the remaining zero is;

We have the following angle:

We know that the reference angle is the smallest angle that the terminal side of a given angle makes with the x-axis. In this case, we have the following reference angle:

To find the value of the reference angle, we substract 297 from 360:

therefore, the reference angle for a rotation of 297° is 63°

Solution

Therefore the value of

First, notice that the line intersects the y-axis at the point (0,5), and that it also passes through the point (2,4). Then, we can use the equation for the slope given two points:

in this case, we get the following:

now that we have that the slope is m = -1/2 and that the y-intercept is 5 (since the intersection is the point (0,5)), then, the equation of the line in slope intercept form is:

The function is given as:

We need to find the expression g(a + 5).

This means that we are going to plug in "a + 5" into "x" of the function. So, substituting, it gives us,

Now, we need to simplify the expression. Steps are shown below:

ANSWER

$137.48

EXPLANATION

We have to find the 14% of $982,

Hence, she must pay

$137.48

let:

P = Number of plastic dolls = 420 - 70 = 350

N = total number of dolls in store inventory