In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1

Answer:

y = (1/2) x -10

Step-by-step explanation:

Perpendicular lines are lines make right angles. The slopes of perpendicular lines are opposite reciprocals !

2x + y = -7 rewrite in form y=

y = -7 -2x

slope of this line is -2

perpendicular lines are opposite reciprocals so the line p has a slope = 1/2

line p passes through (8, -6) so plug in point into equation of p and get ?

y = 1/2 x +?

-6 =1/2(8) +?

-6 =4 + ? subtract 4 from both sides

-6-4 = ?

-10 = ?

y = (1/2) x -10

Answer:

BC = 4

Step-by-step explanation:

The diagram shows a circle with radius AE and chord BD.

Assuming that the radius bisects the chord, then AE is perpendicular to BD. So the measure of angle ACB is 90°.

This means that triangle ACB is a right triangle, with legs AC and BC, and hypotenuse AB.

The length of the radius is:

\(AE = 3 + 2 = 5\)

As AB is also the radius, AB = 5.

To find the length of BC, use Pythagoras Theorem:

\(AC^2+BC^2=AB^2\)

    \(3^2+BC^2=5^2\)

      \(9+BC^2=25\)

\(9+BC^2-9=25-9\)

           \(BC^2=16\)

        \(\sqrt{BC^2}=\sqrt{16}\)

            \(BC=4\)

Therefore, the length of line segment BC is 4.

Answer:

17

Step-by-step explanation:

180 - 5 - 5 = 170 : 2 = 85 : 5 = 17

The area between the two functions is 0

The functions are given as:

f₁(x)= 1

f₂(x) = |x - 2|

x ∈ [0, 4]

The area between the functions is

A = ∫[f₂(x) - f₁(x) ] dx

The above integral becomes

A = ∫|x - 2| - 1 dx (0 to 4)

When the above is integrated, we have:

A = [(|x - 2|(x - 2))/2 - x] (0 to 4)

Expand the above integral

A = [(|4 - 2|(4 - 2))/2 - 4] - [(|0 - 2|(0 - 2))/2 - 0]

This gives

A = [2 - 4] - [-2- 0]

Evaluate the expression

A = 0

Hence, the area between the two functions is 0

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Answer:

1. 3 hours   2. 150 ft

Step-by-step explanation:

1. a) 50 + 60 + 60 + 60 = $230 = 3 hours

  b) 80 + 50 + 50 + 50 = $230 = 3 hours  

  Answer: 3 hours

2. 10 * 5 * 3 = 150 ft

Answer:1 3 hours 2 150

Step-by-step explanation:

The first part

continuation (second part)

Step-by-step explanation:

First, we need to find the unit rate of each animal (how many feet each animal can fly in a second). We do this by dividing the number of feet flown by the number of time.

Bat: 232/4 = 58 ft per second
Hummingbird: 343/7 = 49 ft per second

Based off of this information, we can conclude that the bat can fly faster than the hummingbird.

Answer:

A Tailed Bat can fly 58 feet per secound, I got this awnser because I divided 232/4. A Humingbird can fly 49 feet per secound, I got this info because i diveded 343/7.

Step-by-step explanation:

A Tailed Bat can fly faster then a Humingbird by 9 feet in a secound. I got my info by subtrackting 58-49=9

The absolute value of the elevation difference between the valley and sea level is 94 feet.

The absolute value of a number is the distance of that number from zero on the number line. It represents the magnitude or size of a quantity without considering its direction. In the given scenario, we are dealing with the elevation difference between a valley and sea level.

The valley is described as being 94 feet below sea level. To find the absolute value of the elevation difference, we need to ignore the negative sign and consider the magnitude of the difference.

In this case, since the valley is below sea level, the elevation difference is negative. However, when we take the absolute value, we disregard the negative sign and focus solely on the numerical value of the difference.

By applying the absolute value to the elevation difference of -94 feet, we remove the negative sign and consider only the magnitude. Thus, the absolute value of -94 is simply 94.

Therefore, the absolute value of the elevation difference between the valley and sea level is 94 feet. It indicates that the valley is 94 feet away from sea level in terms of elevation, regardless of the direction (above or below sea level). The absolute value provides a measure of the magnitude of the difference while disregarding the direction or sign associated with it.

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Answer:

The total weight of the purchased cherries is \(11\frac{1}{4}\) pounds.

Step-by-step explanation:

Multiply \(2\frac{1}{4}\) by 5.

\(2\frac{1}{4} * 5 = 11 \frac{1}{4}\)

Answer:

11.25 or 45/4

Step-by-step explanation:

2 1/4 times 5

Answer:

56-123x+78 = -235

Step-by-step explanation:

too lazy for a diss.

56-123(3)+78

56-369+78

-313+78

-235

(could be wrong)

Answer:

-235

Step-by-step explanation:

56 - 123(3) =

56 - 369 = -313

-313 + 78 = -235

MEH SORRY AGAIN

Answer:

j=13, g=20.8, h=24

Step-by-step explanation:

The overall shape given and the shape within, are both right triangles. With right triangles, you are allowed to use the pythagorean theorem formula (\(a^{2} + b^{2} = c^{2}\)) in order to solve for some sides. In this case, that would be j and h. The five in the smaller triangle is represented by b and the 12 is the hypotenuse so it is represented by c. When you plug in those numbers in the pythagorean theorem formula, you will find the value of j to be 13. When looking at this, we see that 12 is the second greatest value in the right triangle values that we just found, so we know the the opposing angle for that one will be 60 degrees. The 5's opposing side is therefore 30 degrees. When subtracting 90 and 30, we get 60, so therefore you can use the 30 60 90 formula to find the sides of the bigger triangle. The 60 degrees represents g. This formula will be \(a\sqrt{3}\). The a is 12 since it is the smallest value. So therefore, g is \(12\sqrt{3}\), which is 20.8. Now that we have this side, we can just use the pythagorean theorem formula to find the remaining side. Therefore, h is going to be 24

The ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is 4:3, or 4/3.

To find the ratio of the surface areas of the two similar cylinders, we need to consider the ratio of their corresponding dimensions. Since the two cylinders are similar, their radii are proportional to their heights. Let's denote the height of the smaller cylinder as h1, the height of the larger cylinder as h2, the radius of the smaller cylinder as r1, and the radius of the larger cylinder as r2.

Given:

h1 = 15 inches

h2 = 20 inches

The ratio of the heights is:

h2 / h1 = 20 / 15 = 4 / 3

Since the cylinders are similar, the ratio of their radii is the same as the ratio of their heights:

r2 / r1 = 4 / 3

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The equation relating the hours and page  is 20x=60

The number of  pages can read in 5 more hours is 160 pages.

X=Hours

y=Pages

1 hour =20pages

20*x=60

x=3

pages can you read in 5 more hours  is 160 pges

20*3+5=160

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Answer:

1/2

Step-by-step explanation:

5 x 1/10 = 0.5

0.5 = 1/2

Answer:

                    1 / 2

Step-by-step explanation:

The sum of the first 19 terms of the sequence is 1254.From the given options, the correct answer is (3) 1254.

To find the sum of the first 19 terms of the sequence, we need to identify the pattern and use the formula for the sum of an arithmetic series.

Looking at the given sequence, we can see that each term is obtained by adding 7 to the previous term. So, the common difference is 7.

The formula for the sum of an arithmetic series is:

Sn= (n/2)(2a + (n-1)d),

where Sn is the sum of the first n terms, a is the first term, and d is the common difference.

In our case, the first term a is 3, and the common difference d is 7.

Plugging these values into the formula, we have:

S19 = (19/2)(2(3) + (19-1)(7)).

Simplifying the equation:

S19 = (19/2)(6 + 18(7)).

S19 = (19/2)(6 + 126).

S19 = (19/2)(132).

S19 = 19(66).

S19 = 1254.

Therefore, the sum of the first 19 terms of the sequence is 1254.From the given options, the correct answer is (3) 1254.

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Answer:

100 miles

Step-by-step explanation:

Let m be the number of miles.

\(100 + .30m = 50 + .80m\)

\(100 = 50 + .50m\)

\(.50m = 50\)

\(m = 100\)

Answer:

100

Step-by-step explanation:

You can put into a graph such as desmos and see where the lines intersect. the x value of the intersection is the answer you want.

Answer:

y > 2x - 1

Step-by-step explanation:

the first thing we see in the graph is the dotted line. so, the line itself will not be included. therefore, no "<=" or ">=", but there was none in the answer options anyway.

then we see the shaded area is "above" (in tendency) the line. so, we are talking about a "y > ..." inequality.

then we see the y-intercept (the y value when x=0). it is -1, but all the answer options have "-1" as y-intercept. OK.

and then we see the slope of the line. when checking after (0, -1) the next point on the line with whole numbers as coordinates, we find (1, 1). so, while x increased by 1, y increases by 2. so, the slow is "y change"/"x change" = 2/1 = 2

so, in total, we are looking for the line

y = 2x - 1

and to cover the whole area above the line (but without the line) we get then

y > 2x - 1

Answer:

\(r \geqslant - 16\)

Step-by-step explanation:

\( \frac{ - 10 + r}{2} \geqslant - 13\)

multiply both sides by 2:

\( - 10 + r \geqslant - 26\)

add 10 on both sides:

\(r \geqslant - 16\)

Answer:

\(r \ge -16\)

Step-by-step explanation:

To solve any equation/inequality:

1. get the variable to show up exactly once

2. isolate it

\(\frac{-10+r}{2} \ge -13\)

Multiply both sides by 2 and simplify (note that we're multiplying by a positive, not a negative, so the direction of the inequality stays the same, whereas multiplying or dividing by a negative would have changed the direction of the inequality)

\(\frac{-10+r}{2} *2 \ge -13 *2\)

\(-10+r \ge -26\)

Add 10 to both sides, and simplify

\((-10+r)+10 \ge (-26)+10\)

\(r \ge -16\)

The correct option regarding the domain of the reflected absolute value function is given as follows:

All real numbers.

The domain of a function is the set that contains all possible input values for the function.

The absolute value function is defined for all real numbers, and the reflection does not change the domain, hence the domain is all real numbers.

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Step-by-step explanation:

yes its important because we need to know the measurements of the side

Answer:

1/3 is the only fraction here that is greater than 3/10.

Step-by-step explanation:

Convert these to decimals first, which can make it easier.

1/3 as a decimal is 0.33333333333333333333333333... which is greater than 0.3, which is 3/10.

3/11 as a decimal is 0.27272727272727.... which is LESS than 0.3, which is 3/10.

4/15 as a decimal is 0.26666666666666666666666666666666, which is less than 0.3, which is 3/10.

29/100 as a decimal is 0.29, which is less than 0.3, which is 3/10.

So the answer is 1/3.

The best way to represent histograms is by decreasing to increasing order.

The mean is the arithmetic mean and is calculated by adding a group of numbers and dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

Given the values:

50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45

We have that:

(22+24+28+28+30+31+31+32+32+35+36+37+38+41+42+42+44+44+45+46+46+47+47+49+50)/25=37.88.

The average age that a large construction company wants to know is 38.

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In the given problem, we are given a sequence of keys that are in sorted order, and we want to build a binary search tree from these keys. We are also given the probabilities for each key that a search will be performed for it. Some searches can also be for values not in K, so we have to add dummy keys representing values not in K. We also have probabilities for these dummy keys.The expected cost of the search time for a set of n=7 keys with the following probabilities is given as:p1=0.04, p2=0.06, p3=0.08, p4=0.02, p5=0.10, p6=0.12, p7=0.14, q0=0.06, q1=0.06, q2=0.06, q3=0.06, q4=0.05, q5=0.05, q6=0.05, q7=0.05.To solve the problem, we use dynamic programming. We will create a 2D array named ‘expected cost’ to store the expected cost of search time for all possible subtrees. The size of the array will be n+2, n for the original keys, and 2 for the dummy keys. We will also create another 2D array named ‘root’ to store the root of each subtree. The size of this array will be n+1. We have to initialize the values of both arrays to 0.

For all i=1 to n+1, we set expected_cost[i][i-1]=qi.
For all i=1 to n:
   We set expected_cost[i][i]=pi.
   We also set root[i][i]=i.
For L=2 to n+1:
   For i=1 to n-L+2:
       j=i+L-1.
       We set expected_cost[i][j]=INF.
       For k=i to j:
           We calculate the expected cost of the left subtree from i to k-1 and the right subtree from k+1 to j.
           We add the cost of searching for the root node k to the expected cost of both subtrees.
           We then update the expected cost of the current subtree if it is less than the current expected cost.
           We also update the root of the current subtree in the root array.
Finally, the expected cost of the optimal binary search tree can be found in expected_cost[1][n], and the structure can be found in the root array.

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Answer:

The perimeter is all side plus together

hypotenuse(2x)= 8

then x=4

the side that is perpendicular is (x√3)=4√3=6.92

the other side(x)= 4

The perimeter is 8+4+6.92=18.92

Answer:

The perimeter is

12 + 4root3

A decimal approximation for this value is 18.93

Step-by-step explanation:

30° -60°-90° triangles are very special. There are fabulous SHORTCUTS for calculating the lengths of the sides of the triangle.

The hypotenuse is the longest side, it is DOUBLE the shortest side (short leg). The short leg is HALF the hypotenuse.

Your triangle has hypotenuse 8, so the short leg is 4.

Another SHORTCUT: The long leg is the short leg × root3. So your triangle has a short leg 4, so the long leg is 4root3.

Perimeter means the distance all the way around the shape. So add all three sides.

8 + 4 + 4root3

12 + 4root3

approx= 18.93

Answer:

8 records were sold on Wednesday, and 24 records were sold on Thursday

Step-by-step explanation:

Let's call the number of records sold on Wednesday w, and the number sold on Thursday t.

t+w=32

t=3w

Substituting:

(3w)+w=32

4w=32

w=8

t=3w=3(8)=24

Hope this helps!

From the question, three siblings are to two cookies equally.

To get the quantity of cookies each siblings get,

Therefore, each siblings would get 2/3 of a cookie.

Hence the answer is B.

The number of missed shots after 10 weeks of practice is 1

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

The line of best fit

Also, we have the equation to be

y  = -1/2x + 6

At the 10th weeks, we have

x = 10

Substitute the known values in the above equation, so, we have the following representation

y  = -1/2 * 10 + 6

Evaluate

y = 1

Hence, the number of missed shots after 10 weeks of practice is 1

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