Find the surface area of the prism. 3m, 12m, 13m, 5m

The height of the stump is 3 ft.

The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.

In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:

h(0) = -16(0)² + 64(0) + 3

Since any term multiplied by zero is zero, we can simplify further:

h(0) = 0 + 0 + 3

Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.

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Answer:

\(x=-\frac{4}{5}\)

Step-by-step explanation:

\(6=\frac{3}{4}(10x+16)\\\mathrm{or,\ }6\times 4=3(10x+16)\\\\\mathrm{or,\ }24=30x+48\\\\\mathrm{or,\ }-24=30x\\\\\mathrm{\therefore}\ x=-\frac{4}{5}\)

∠13 = 70.5° [Vertically Opposite angles]

∠13+∠14=180° [Linear pair]

70.5°+∠14=180°

∠14=180-70.5

∠14=109.5

∠15=∠14=109.5 [Vertically opposite angles]

∠13=∠12= 70.5° [Co-interior angles]

∠12=∠10= 70.5° [Vertically Opposite angles]

∠14=∠11=109.5 [Co-interior angles]

∠9=∠11= 109.5 [Vertically opposite angles]

∠13=∠7= 70.5° [Alternate interior angles]

∠7=∠5=70.5° [Vertically Opposite angles]

∠7+∠8=180° [Linear Pair]

70.5+∠8=180

∠8=180-70.5

∠8=109.5°

∠8=∠6= 109.5° [Vertically Opposite angles]

∠6=∠3=109.5° [Co-interior angles]

∠7=∠2=70.5° [Co-exterior angles]

∠2=∠4= 70.5° [Vertically Opposite angles]

∠3=∠1= 109.5° [Vertically Opposite angles]

\(\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}\)

Answer:

Angles 1, 3, 5, 7, 9, 11 and 13 = 70.5°

Angles 2, 4, 6, 8, 10, 12, 14 and 15 = 109.5°

Step-by-step explanation:

Angle Theorems used:

Angles 1, 3, 5, 7, 9, 11 and 13 = 70.5°

180 - 70.5 = 109.5°

Angles 2, 4, 6, 8, 10, 12, 14 and 15 = 109.5°

The percentages are given as follows:

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

The normal distribution is symmetric, meaning that 50% of the measures are below the mean and 50% are above.

Both 55 and 99 are within two standard deviations of the mean, hence the percentage is given as follows:

95%.

44 is three standard deviations below the mean of 77, hence 99.7% of the 50% of the measures below 77 are between 44 and 77, hence the percentage is of:

0.5 x 99.7 = 49.85%.

99 is two standard deviations above the mean, hence only the top 5/2  = 2.5% is above 99.

44 is three standard deviations below the mean, hence only the bottom 0.3/2 = 0.15% is below 44.

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The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

8:15:30

Step-by-step explanation:

8:15:30 a.m hope I helped ;)

Answer: -2

Step-by-step explanation:

\(5(4m+2)\\\\=20m+10\)

After simplification of the given expression, the resultant answer is (B) −3.03u + (−8).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

It's possible to multiply, divide, add, or subtract with this mathematical operation.

Keep in mind that terms can be coefficients, constants, or variables. So, 1+1 is a straightforward example of an expression.

This equation has one operation, two constant terms, and (addition). x3 is another illustration.

So, the given expression is:

(4.57u − 14) − (−6 + 7.6u)

Then, solve as follows:

4.57u - 14 - ( -6 + 7.6u)

4.57u - 14 + 6 - 7.6u

4.57u - 7.6u = -3.03u AND -14 + 6 = -8

-3.03u - 8 (or -3.03u + (-8) )

Therefore, after simplification of the given expression, the resultant answer is (B) −3.03u + (−8).

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Correct question:

Simplify the expression.

(4.57u − 14) − (−6 + 7.6u)

A. −3.03u + (−20)

B. −3.03u + (−8)

C. 12.17u + (−20)

D. 12.17u + (−8)

\(A = \pi \cdot 7^2 = 49\pi \approx 154 ~ ft^{2}\)

\(\large\huge\green{\sf{Given:-}}\)

\(\large\huge\green{\sf{ToFind:-}}\)

\(\large\huge\green{\sf{Solution:-}}\)

\(area \: of \: circle= πr² \\ = \frac{22}{7} \times (7) {}^{2} \\ = \frac{22}{7} \times 7 \times 7 \\ = 22 \times 7 = 154ft {}^{2} \)

Answer:

4

Step-by-step explanation:

there are 3 cups in a quart

since there are 3 quarts i.e 4*3=12

since you need 3 cups to make a serving

12/3 =4 servings can be made

Answer:

use formula

(x-x^1)=m(y-y^1)

Answer:

\(y = 25 + 46x\) --- Equation

$46 monthly

Step-by-step explanation:

Given

\(Registration = \$25\)

\(Total = \$577\)

Solving (a): The equation

Out of $577, $25 is paid as registration fee

So, the members are left with $552 (i.e. $577 - $25) to pay over 12 months

Let the number of months be x and the total amount to pay be y.

The equation is:

\(y = Registration + Monthly * x\)

\(y = 25 + \frac{552}{12}*x\)

\(y = 25 + 46*x\)

\(y = 25 + 46x\)

Solving (b): The monthly payment

In (a) above, we established that:

"So, the members are left with $552 (i.e. $577 - $25) to pay over 12 months"

The monthly payment is:

\(Monthly = \frac{552}{12}\)

\(Monthly = \$46\)

The value of the number is x = 34.

Let's break down the problem and solve it step by step.

1. "Five less than twice the value of a number": This can be represented as 2x - 5, where x is the number.

2. "Three times the quantity of 4 more than 1/2 the number": This can be represented as 3 * (x/2 + 4).

According to the problem statement, the two expressions are equal. We can set up the equation as follows:

2x - 5 = 3 * (x/2 + 4)

Now, let's solve the equation:

2x - 5 = 3 * (x/2 + 4)

Distribute the 3 to both terms inside the parentheses:

2x - 5 = (3/2)x + 12

Multiply through by 2 to eliminate the fraction:

2(2x - 5) = 2((3/2)x + 12)

4x - 10 = 3x + 24

Next, let's isolate the x term by moving the constant terms to the other side of the equation:

4x - 3x = 24 + 10

Simplify:

x = 34

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Answer:

y = 3.3x

Step-by-step explanation:

for the table we can determine that every hamburger delivery takes five minutes

you can do this by dividing 4 by 0.8 which gets you five

the pizza deliverys speed can be figured out by dividing 50 by 15

this gets you 3.33...

therefore y = 3.3x would be your answer as the pizza delivery is faster

Answer:

1/27 in^3.

Step-by-step explanation:

1/3 * 1/3 * 1/3

Answer:

x = 1.

Step-by-step explanation:

x + y + z = 5

2x - y - z = -2

3x = 3

x = 1

Hope this helps!

Answer:

Just multiply two with the value of one penny,one,nickel,one dimes,one quarters and add them you will get the ans.

Answer:

To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.

Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles

Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles

Total distance = Distance for the first 5 days + Distance for the next 5 days

Total distance = 17.5 miles + 21.25 miles

Total distance = 38.75 miles

Therefore, the student ran a total of 38.75 miles during these 10 days.

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

googl really helps sorry

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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On solving the provided question we can say that expression 12S+3T-9S equivalent to 3T and 3T + 3 and 3T - 3

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

the expression we have here is

12S+3T-9S equivalent to

when S = 0

3T

when S = 1

3T + 3

when S = -1

3T - 3

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The probability that Jack wins the race, and Martina finishes last, is 1/9.

The study of random events or phenomena falls under the category of probability, which is a branch of mathematics. It is concerned with calculating the probability or likelihood of an event happening. A number between 0 and 1, where 0 denotes an improbable event and 1 denotes a certain event, is used to express the likelihood of an event. An occurrence is more likely to occur the higher its probability. Several disciplines, including statistics, physics, economics, and engineering, employ probability theory to study and forecast unpredictable events.

As there are three equally plausible outcomes and only one of them corresponds to Jack winning, the likelihood that Jack will win the race is 1/3.

As there are three equally possible outcomes and only one of them corresponds to Martina placing last, the likelihood that she does so is also 1/3.

P(Jack wins and Martina finishes last) = P(Jack wins) x P(Martina finishes last) = (1/3) x (1/3) = 1/9

Hence, the probability that Jack wins the race and Martina finishes last is 1/9.

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The complete question is:

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \\ {9}^{2} + {40}^{2} = {41}^{2} \\ 81 + 1600 = 1681 \\ 1681 = 1681\)

Answer:

  TL ≈ 9.90

Step-by-step explanation:

The Pythagorean theorem tells you ...

  TC² +LC² = TL²

In this isosceles triangle, LC = TC, so we have ...

  TL² = TC² +TC² = 2·TC²

Taking the square root gives ...

  TL = TC√2 = 7√2

  TL ≈ 9.90

Answer:

= 160 units

Step-by-step explanation:

Relevant data provided as the situation is below:-

Total available time = 480

Cycle time = 3

According to the given situation, the computation of the daily production rate is shown below:-

Daily production rate is

\(= \frac{ Total\ available\ time}{Cycle\ time}\)

= \(\frac{480}{3}\)

= 160 units

Therefore we have solve the daily production rate to reach the daily production rate.