Terry has $5.79 to go shopping Which mixed number below is the fraction equivalent to $5.79? 500 a 5 79/100 b. 5 79/1000 57 9/100 d 57 9/10​

Answer:

\(\huge\boxed{\sf 1}\)

Step-by-step explanation:

f(x) = 3x - 4

Put x = 3

f(3) = 3(3) - 4

f(3) = 9 - 4

Also,

g(x) = x²

Put x = 2

g(2) = (2)²

Subtract Eq. (2) from Eq. (1)

= 5 - 4

\(\rule[225]{225}{2}\)

Answer:

F(3) -g(2) = 1

Step-by-step explanation:

F(3)= 3(3) -4= 5

g(2)= \(2^{2}\) = 4

f(3) -g(2)= 5-4 =1

Answer:

137

Step-by-step explanation:

This is an arithmetic sequence with first term (a₁) being 2 and common difference (d) being 11 - 2 = 9.

Explicit formula: aₙ = a₁ + (n - 1) * d so our formula is:

aₙ = 2 + (n - 1) * 9

= 2 + 9n - 9

= 9n - 7

a₁₆ = 9(16) - 7 = 137

One game that fits the description is a deck-building card game called "RandomQuest." In this game, each player creates their own unique character at the beginning by selecting different attributes, abilities, and starting equipment. These choices determine the character's overall strength and capabilities.

During gameplay, players are dealt a hand of random item cards from a shared deck. These item cards represent weapons, armor, spells, potions, and other useful items that the character can utilize. The goal is to strategically use these item cards to overcome challenges and defeat enemies.

The outcome of each encounter is determined by a combination of factors, including the player's character attributes, the chosen item cards, and the random elements introduced by the game mechanics. Each item card has specific effects and values, such as attack power, defense bonuses, or special abilities, which contribute to the character's overall performance.

To calculate the chances of winning, players must consider the strength of their character, the capabilities of their opponents, and the potential synergies between the item cards they possess. They should strategically choose which item cards to play in each encounter, considering factors like the enemy's weaknesses, their own character's strengths, and the potential risks and rewards of each card.

"RandomQuest" is a deck-building card game where players use randomly assigned item cards to win encounters and overcome challenges. Through strategic decision-making and synergistic card combinations, players can maximize their chances of success and achieve victory.

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Answer:

21 rounds

Step-by-step explanation:

\(1\) \(round = 0.4km\)

\(Total\) \(distance = 8.4km\)

\(8.4/0.4\)

\(=21\)

The number of rounds he makes, if he runs a total of 8.4 km distance.

\(\large\boxed{R=\frac{Total \: distance}{Distance \: covered \: in \: 1 \: round}}\)

So, we'll have to divide the total distance covered by distance covered in 1 round.

Let's substitute according to the formula.

\(R= \frac{8.4}{0.4}\)

= 21 rounds

Hence, the number of rounds he makes, if he runs a total of 8.4 km distance is 21

Answer:

The first one is B

Step-by-step explanation:

if you count how many faces or sides it has its 5

Answer:

1. B

2. D

3. D

4. A

5. C

REMEMBER TO DOUBLE-CHECK JUST IN CASE.

Answer:

The answer is D. {(8, 1), (4, 1), (0, 1), (-15, 1)}

Step-by-step explanation:

It's not A because Since  

x

=

−

2

produces  

y

=

4

and  

y

=

11

, the relation  

(

−

2

,

−

12

)

,

(

−

2

,

0

)

,

(

−

2

,

4

)

,

(

−

2

,

11

)

is not a function.

The relation is not a function.

it's not B. because Since  

x

=

1

produces  

y

=

2

and  

y

=

3

, the relation  

(

0

,

1

)

,

(

0

,

2

)

,

(

1

,

2

)

,

(

1

,

3

)

is not a function.

The relation is not a function.

It's not C. because Since  

x

=

1

produces  

y

=

−

2

and  

y

=

0

, the relation  

(

−

4

,

−

6

)

,

(

−

3

,

−

2

)

,

(

1

,

−

2

)

,

(

1

,

0

)

is not a function.

The relation is not a function.

Answer:

b and d

Step-by-step explanation:

Given the dimensions of the rectangular ceiling below

Let us sketch out the image of the rectangle ceiling.

We are to solve for x, which represents the cost of garland Mia will need to reach from one corner of the ceiling to the opposite corner.

Let us now sketch out the triangular shape from the rectangle.

Using Pythagoras theorem to solve for x,

Therefore,

Hence, the cost of garland Mia will need to reach from one corner of the ceiling to the opposite corner is 87feet.

Answer: True

Step-by-step explanation:

Isometries include rotation, translation, reflection, glides, etc.

The ∆ABC is an isosceles triangle and have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.

An isosceles triangle have the measure of its base angles to be equal, and the sum of the interior angles sum up to 180°.

Given that sides AB ≅ BC, then the triangle ∆ABC has two sides with similar length and base angles so;

angles m∠A and m∠C are the base angles are both equal to 51°

m∠B = 180° - (51 + 51)° {sum of interior angles of a triangle}

m∠B = 180° - 102°

m∠B = 78°

Therefore, the isosceles triangle ∆ABC have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.

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Based on the AA Similarity Theorem, triangles PQR and TSR are proven to be similar to each other because they have two pairs of corresponding angles that are congruent to each other.

The AA (Angle-Angle) Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. This means that the corresponding sides of the triangles are in proportion to each other.

With the information given, the proof that shows that the two triangles are similar as as follows:

Statements                                         Reasons                                        

1. ∠QPR ≅ ∠STR                                1. Given

2. QR ⊥ PT                                         2. Given

3. ∠QRP ≅ ∠SRT                               3. def. of perpendicular

4. ΔPQR ~ ΔTSR                                4. AA Similarity Theorem

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The graph of the parabola given below.

Here, we have,

Here we have the function:

g(x) = (15x)^2

Notice that this is a contraction of scale factor 15 of the function f(x) = x^2

To graph this, we can just evaluate the function in 3 points, the vertex and two other ones.

for x = 0.

g(0) = (15*0)^2 = 0

So we have the point (0, 0).

Evaluating in x = 1 and x = -1 (give the same value) we get:

g(±1) = (±15)^2 = 225

So we have the points (1, 225) and (-1, 225).

Now we can just connect these 3 points with a parabola.

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a. The equivalent angle within the given range is θ = 445°.

b.  The value of cot θ is √5/2.

c. The value of θ is approximately 143.13°.

a. To find θ where tan θ = tan 265° and θ ≠ 265°, we can use the periodicity of the tangent function, which repeats every 180°. Since tan θ = tan (θ + 180°), we can find the equivalent angle within the range of 0° to 360°.

First, let's add 180° to 265°:

θ = 265° + 180°

θ = 445°

So, the equivalent angle within the given range is θ = 445°.

b. Given sin θ = 2/3 and cos θ > 0, we can use the Pythagorean identity sin²θ + cos²θ = 1 to find the value of cos θ. Since sin θ = 2/3, we have:

(2/3)² + cos²θ = 1

4/9 + cos²θ = 1

cos²θ = 1 - 4/9

cos²θ = 5/9

Since cos θ > 0, we take the positive square root:

cos θ = √(5/9)

cos θ = √5/3

To find cot θ, we can use the reciprocal identity cot θ = 1/tan θ. Since tan θ = sin θ / cos θ, we have:

cot θ = 1 / (sin θ / cos θ)

cot θ = cos θ / sin θ

Substituting the values of sin θ and cos θ:

cot θ = (√5/3) / (2/3)

cot θ = √5 / 2

Therefore, the value of cot θ is √5/2.

c. Given the equation 5/2 cos θ + 4 = 2, we can solve for θ:

5/2 cos θ + 4 = 2

5/2 cos θ = 2 - 4

5/2 cos θ = -2

cos θ = -2 * 2/5

cos θ = -4/5

To find θ, we can use the inverse cosine function (cos⁻¹):

θ = cos⁻¹(-4/5)

Using a calculator, we find that θ ≈ 143.13°.

Therefore, the value of θ is approximately 143.13°.

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Using an absolute value equation, the minimum acceptable mass for the sand of bag is of 48 ounces.

The absolute function is defined by:

It measures the distance of a point x to the origin.

For this problem, the difference between x and 50 is of 2 ounces, hence:

|x - 50| = 2.

Thus the minimum value is found as follows:

x - 50 = -2 -> x = 48.

The minimum acceptable mass for the sand of bag is of 48 ounces.

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The phenomena of hiding distribution characteristics in a system from applications and users is known as distribution transparency. Access transparency, location transparency are some examples.

Distributed databases have the attribute of distribution transparency, which keeps consumers from knowing the internal workings of the distribution.

Thus, access transparency, location transparency are some examples of the (distribution) transparency.

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Answer:

Was the park administrator girl? I have never seen a Female park adminstrator especially one who is counting people who bring dogs.

well i think she should use a machine or ask the gaurd and give extra salary to him for counting.

Answer: 1 tablespoon

Step-by-step explanation:

the probability that at most 40 will get less than 40 seconds and at most 40 will get more than 40 seconds to solve the puzzle.

less than 40 seconds -  Event A

more than 40 sec  - A ' ( A bar / A compliment)

not

maximum number of people in Event A = 40

maximum number of people in A' = 40

total number of maximum people in A or A'  = 40 +40 = 80

but here there are 100 people > 80

hence

this is not possible

Required probability = 0

Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. The probability of an event is a number between 0 and 1, with approximately 0 indicating the improbability of the event and 1 indicating certainty.

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Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

The line of reflection that produces z²(10, 7) is the x-axis.

To determine the line of reflection that produces the image of point Y at the point (9,-3), we need to find the midpoint of the line segment YY', where Y' is the reflection of Y.

Using the midpoint formula, we get the midpoint N as (-4,0). Since this point lies on the horizontal line passing through the origin (0,0), the line of reflection is the x-axis.

To determine the line of reflection that produces the image of the line segment XY at the line segment X'Y', we need to find the perpendicular bisector of XY, which is the reflection line. Using the midpoint formula, we get the midpoint P as (-5.5,3.5).

The slope of XY is (3-4)/(-9+2)=-1/7, so the slope of the perpendicular bisector is 7. Therefore, the equation of the perpendicular bisector is y-3.5=7(x+5.5). Solving for y, we get y=7x+49.5. Since this line passes through the origin (0,0), the line of reflection is y=x.

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Answer:

Step-by-step explanation:

If you got together on December 27, 2021, your 1-month anniversary would be on January 27, 2022, which is exactly 31 days later.

Your 2-month anniversary would be on February 27, 2022, which is exactly 61 days later. Since February has only 28 days in 2022, it means that your 2-month anniversary would fall on the last day of February.

Your 3-month anniversary would be on March 27, 2022, which is exactly 90 days later.

To determine if the mean launch temperature for flights with o-ring damage is significantly less than for flights with no o-ring damage, we can perform a two-sample t-test with equal variances. Here are the steps:

Step 1: Calculate the sample means and standard deviations for each group:

For flights with o-ring damage:

Sample mean: (43 + 57 + 58 + 63 + 70 + 70 + 75) / 7 = 63.14

Sample standard deviation: 13.42

For flights with no o-ring damage:

Sample mean: (66 + 67 + 67 + 67 + 68 + 69 + 70 + 70 + 72 + 73 + 75 + 76 + 76 + 78 + 79 + 81) / 16 = 72.56

Sample standard deviation: 5.69

Step 2: Calculate the pooled standard deviation:

s_p = sqrt(((n1-1)*s1^2 + (n2-1)*s2^2) / (n1+n2-2))

where:

n1 = sample size of flights with o-ring damage = 7

n2 = sample size of flights with no o-ring damage = 16

s1 = sample standard deviation of flights with o-ring damage = 13.42

s2 = sample standard deviation of flights with no o-ring damage = 5.69

s_p = sqrt(((7-1)*13.42^2 + (16-1)*5.69^2) / (7+16-2)) = 9.88

Step 3: Calculate the t-test statistic:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 = sample mean of flights with o-ring damage = 63.14

x2 = sample mean of flights with no o-ring damage = 72.56

s_p = pooled standard deviation = 9.88

n1 = sample size of flights with o-ring damage = 7

n2 = sample size of flights with no o-ring damage = 16

t = (63.14 - 72.56) / (9.88 * sqrt(1/7 + 1/16)) = -2.70

Step 4: Calculate the degrees of freedom:

df = n1 + n2 - 2 = 7 + 16 - 2 = 21

Step 5: Determine the critical value of t at 5% level of significance and the corresponding p-value:

At 5% level of significance and 21 degrees of freedom, the critical value of t is ±2.08 (from a t-distribution table or calculator).

The p-value for a two-tailed test with t = -2.70 and df = 21 is 0.013 (from a t-distribution table or calculator).

Step 6: Compare the t-test statistic with the critical value and the p-value with the level of significance:

Since the absolute value of the t-test statistic (-2.70) is greater than the critical value of t at 5% level of significance (2.08), we reject the null hypothesis and conclude that there is a significant difference in mean launch temperature between flights with o-ring damage and flights with no o-ring damage.

Moreover, the p-value (0.013) is less than the level of significance (0.05), providing further evidence to reject the null hypothesis.

Therefore, we can say that the mean launch temperature for flights with o-ring damage is significantly less.

The median would best compare the centers of the data

from

Class 1 and class 2

In class 1, we have no outliers

So, we use the mean as the centers of the data

In class 2, we have outliers

So, we use the median as the centers of the data

Since we are using median in one of the classes, then we use median in both classes

Hence. the median would best compare the centers of the data

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Answer:

She's, "HOT"!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

y

Miki has a dozen oranges of the same size and a dozen pears of the same size.

Miki uses her juicer to extract 88 ounces of pear juice from 33 pears and 88 ounces of orange juice from 22 oranges. She makes a pear-orange juice blend from an equal number of pears and oranges. What percent of the blend is pear juice?The ratio of ounces of orange juice to the number of oranges is: 88/22 = 4. The ratio of ounces of pear juice to the number of pears is 88/33 = 2.67.The number of pears and oranges used in the blend is equal and since 2.67 is not equal to 4, we know that neither 22 nor 33 is the number of pieces used for the blend.

To find out the number of pieces used in the blend, we need to find a common multiple of 22 and 33, which is 66.The amount of pear juice used in the blend is (66/2) × (2.67/12) = 5.5 ounces.The amount of orange juice used in the blend is (66/2) × (4/12) = 22 ounces.The percentage of pear juice in the blend is: (5.5 / (5.5 + 22)) × 100% = 20%.Therefore, the percent of pear juice in the blend is 20%.

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The distance between the Bumper Boats and the Parachute Plunge is given by:

15 units.

Suppose that we have two points with coordinates given yb \((x_1,y_1)\) and \((x_2,y_2)\). The shortest distance between them is given by the following rule:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

This formula is derived from the Pythagorean Theorem, as the points form a right triangle in the xy-plane, with the hypotenuse representing the distance between them.

In the context of this problem, the coordinates of the Bumper Boats and of the Parachute Plunge are given as follows:

Hence the distance between these two points is given as follows:

\(D = \sqrt{(6 - (-6))^2+(11 - 2)^2}\)

D = sqrt(12² + 9²)

D = 15 units.

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Answer: its 225

Step-by-step explanation: you should try it and find out. / I did  

Answer:

30cm²

Step-by-step explanation:

Since there are two 10 centimeter sides, this can be shown as 10cm×2=20cm. Since there are two 5 centimeter sides, this can be shown as 5cm×2=10cm. 20cm+10cm=30cm².