Day 5
Now, in this part, your knowledge will be tested again. To assess
your understanding of our lesson for this week, answer the following
tasks: Learning Task 7: Identify and describe the triangles according
to their sides
and angles.
Triangles
Sides
Angles
1.
2.
3.
4.
5.
In this part
we can measure our learnings in identifying and describing

Answer:

2 Percent or %

Step-by-step explanation:

The decimal 0.02 would be equivalent to 2 percent, or 2 per hundred.

Answer:

0.02 is 2 percent as a percent

After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.

Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.

The period of compounding in a year determines the worth of the future value.

The future value can be ascertained using an online finance calculator as follows:

Interest periods: = 4 times yearly (Quarterly)

Principal = $5,000

Annual interest rate = 9%

Number of years: 18

N (# of periods) = 72 quarters (18 years x 4)

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $24,815.83

Total Interest = $19,815.83

Interest periods: = Annually

N (# of periods) = 18 years

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $23,585.60

Total Interest = $18,585.60

Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)

Thus, an investment compounded periodically earns more than an investment compounded annually.

Learn more about compounded interest at https://brainly.com/question/28020457.

#SPJ1

Answer:

As the sample size is large enough, i.e. n = 198 > 30 the central limit theorem can be applied to describe the sampling distribution for the sample proportion of children who are​ nearsighted.

Step-by-step explanation:

Let the random variable p denote the proportion of children affected by nearsightedness.

The previously known proportion was, p = 0.12.

A random sample of n = 198 children are selected.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

\(\mu_{\hat p}=p\)

The standard deviation of this sampling distribution of sample proportion is:

\(\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}\)

As the sample size is large enough, i.e. n = 198 > 30 the central limit theorem can be applied to describe the sampling distribution for the sample proportion of children who are​ nearsighted.

Answer:

4(11+8+28)

Step-by-step explanation:

44 + 32 + 112

4(11+8+28)

I found the GCF of all three numbers.

Hope this helps :)

Answer:

  5√5 ≈ 11.18 units

Step-by-step explanation:

The Pythagorean theorem can be used to find the unknown leg of a triangle with hypotenuse 15 and one leg 10:

  d = √(15^2 -10^2) = 5√(3^2 -2^2) = 5√5

The plane is 5√5 units from the center of the sphere.

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

For more such questions on carbohydrate, click on:

https://brainly.com/question/29917711

#SPJ8

Answer:

mZR = (4x + 160)°

Step-by-step explanation:

cause, mZR = mZN

;-))

Answer:

11

Step-by-step explanation:

duh add 1 and 1 merge it together to get 11

that's a hard question imma go with 2 though

Step-by-step explanation:

for this problem let's let x=1 and y also =1 so x+y=2 hope this helps

Step 1:

When by either

f(x) or x is multiplied by a number, functions can “stretch” or “shrink” vertically or horizontally, respectively, when graphed.

In general, a vertical stretch is given by the equation

y=bf(x). If b>1, the graph stretches with respect to the y-axis, or vertically. If b<1, the graph shrinks with respect to the y-axis. In general, a horizontal stretch is given by the equation y=f(cx) If c>1, the graph shrinks with respect to the x-axis, or horizontally. If c<1, the graph stretches with respect to the x-axis.

Step 2:

The function is vertically stretched by a factor of 2.

Step 3:

A horizontal translation is generally given by the equation

y=f(x−a). These translations shift the whole function side to side on the x-axis.

Hence, the function is translated 6 units to the right

Final answer

Answer:75.6

Step-by-step explanation:

Answer:

x = - 2, y = 6

Step-by-step explanation:

y = - 3x

x + y = 4

Substitute y = - 3x in " x + y = 4 ",

x + y = 4

x - 3x = 4

- 2x = 4

x = 4 / - 2

x = - 2

Substitute x = - 2 in " y = - 3x ",

y = - 3x

= - 3 * ( - 2 )

y = 6

Therefore,

the value of,

x = - 2

y = 6

Hence, the system is solved.

Answer:

\( \pink{ \pmb{SOLUTION:-}}\)

Here,

\(\displaystyle{ \frac{6 + x}{16 + x} = \frac{36 + x}{76 + x} }\)

\((6 + x)(76 + x) = (36 + x)(16 + x)\)

\(456 + 6x + 76x + {x}^{2} = 576 + 36x + 16x + {x}^{2} \)

\(82x + 456 = 576 + 52x\)

\(82x - 52x = 576 - 456\)

\(30x = 120\)

\(\displaystyle{x = \frac{120}{30} }\)

\({ \rightarrow{ \pmb{x = 4}}}\)

Answer:

(2/5)*b+1 = -11 // + 11

(2/5)*b+1+11 = 0

2/5*b+12 = 0 // - 12

2/5*b = -12 // : 2/5

b = -12/2/5

b = -30

b = -30

Step-by-step explanation:

hope this helped :)

Step-by-step explanation: First: Multiply 2/5 by 2. 5x2=10. 10 then turns into o a whole number +1=11.

10+1=11

Answer: 25/28 or 0.892857

Step-by-step explanation:

25/28 is already in the simplest form. It can be written as 0.892857 in decimal form

Answer:

11.0 cm

Step-by-step explanation:

Answer:

11.8 cm

Step-by-step explanation:

2.5 + 5 + 2.5√3 = 7.5 + 2.5√3 = 11.8 cm

[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.

A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").

Let's substitute the given truth values for the propositional variables in the given statement:

[~F & (F V F)] ≡ (T ⊃ F)

Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:

[T & F] ≡ (T ⊃ F)

Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:

F ≡ F

Since both sides of the equivalence have the same truth value, the statement is true.

Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.

Learn more about truth table visit:

https://brainly.com/question/29155453

#SPJ1

Answer:

x+2=10

x minus 4 = 4

x minus 2 = 10

3x = 4 are the answers .

Answer:

what he said ex for x-2=10 thats naught rite the correct are:

X+2=10

X-4=4

3x=24

X/8=1

Step-by-step explanation:

did it on the test!!!

Answer: The party ended at 11:40

Answer:

it will end at 11:40

Step-by-step explanation:

Answer:

About $150

The exact amount spent is $153.60 though

Step-by-step explanation:

Just multiply 25.60 x 6

Answer: 150.

Use long multiplication to evaluate.

153.6

Round 153.6.

three is not greater than five so the final product is

150.

The 22 half-pieces Kristin had from cutting the sheets she started with and the 7 pieces she found, indicates, that the solution to the word problem is that the number of sheets of paper Kristin started with are;

A word problem is a mathematical question in which the scenario of the question is described using verbal terms, or complete sentences, rather than mathematical symbols or expressions, but which are solved using mathematical calculations.

Let x represent the initial number of paper Kristin had.

The extra number of papers Kristin found = Seven more pieces

The size in which Kristin cut each piece of paper = In half

The number of pieces she had after cutting the papers = 22 half-pieces

Therefore, the following equation can be used to find the number of sheets of paper, x, she started with;

2 × (x + 7) = 22

2 × (x + 7)/2 = 22 ÷ 2 = 11

x + 7 = 11

x = 11 - 7 = 4

The number of sheets of paper Kristin started with, x = 4 sheets of paper

Learn more on writing equations here: https://brainly.com/question/24628957

#SPJ1

Real solutions to the quadratic equation that is 3x2 + 16x = 8x are : x = 0 and x = -8.

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

where a, b, and c are numerical coefficients and x is an unknown variable. For instance, the equation \(x^{2}\) + 2x + 1 is quadratic or quadratic.

To find the equation's roots, use the quadratic equation formula. There will be two solutions to the problem because quadratics have a degree of two. If a\(x^{2}\) + bx + c = 0 is the quadratic equation, then the formula to determine its roots is:

x = [-b±√(\(b^{2}\)-4ac)]/2a

The plus/minus symbol indicates that there are two possible solutions for x.

Given Quadratic Equation is 3\(x^{2}\) + 16x = 8x

∴ 3\(x^{2}\) + 16x - 8x = 0

3\(x^{2}\) + 8x = 0.

3x ( x+8 ) = 0.

∴ x = 0 and x = -8.

So therefore the solution of given equation is x = 0 and x = -8

To learn more about Quadratic equation visit : brainly.com/question/17177510

#SPJ4

Answer:

Step-by-step explanation:

30 - [(9 X 2) - (3 X 4)]

30 - [ 18 - 12 ]

30 - 18 + 12

= 42 - 18

= 24

Hope this helps

plz mark as brainliest!!!!!!

Answer:

24

Step-by-step explanation:

30-[18-12]

30-18+12

12+12

=24

Answer:

42,43,44

Step-by-step explanation:

The first integer is x, the second consecutive integer is x+1, the third is x+2

x+x+1=x+2+41

2x+1=x+43

x=42

x+1=43

x+2=44

In this problem we have a circle centered at origin with radius 4 units

we have an angular speed of 2 radians per second

step 1

Find out the circumference of the circle

we have

r=4

substitute

the length of the circumference subtends a central angle of 2pi radians

we have 2 radians per second

If the point has traveled for 0.25 seconds and the angular speed is 2 radians per second

that means

has traveled 0.25*2=0.50 radians

the distance between point (-4,0) and (4,0) is pi radians

the point need

(pi-0.50) radians

The angle needs to be swept out from the 3 o'clock position to get to the point's current position will be 0.50 radians.

The rate of change of angular displacement is known as the angular speed, and it is written as follows: ω = θ t. t is the time, and θ is the angular displacement.

It is given that, Starting at the coordinates (4,0), a point travels CCW at a constant angular speed of 2 radians per second. The circle's center is (0,0).

Let t be the number of seconds since the point first began moving and the point has swept out and the point has traveled for 0.25 seconds (t=0.25).

In this problem, the circle has a radius of 4 units, and its angular speed is 2 radians per second. The circle's circumference is,

C=2πr

C=2π×4

C=8π

We have 2 radians per second if the circumference's length subtends a central angle of 2pi radians.

If the angular speed is 2 radians per second and the point has traveled for 0.25 seconds, then the point has traveled.

=0.25 × 2

=0.50 radians

Thus, the angle that needs to be swept out from the 3 o'clock position to get to the point's current position will be 0.50 radians.

Learn more about the angular speed here,

https://brainly.com/question/14663644

#SPJ2

The length of the side of the square is given as follows:

20 cm.

In the figure, there are two expressions used to give the side length to each square, as follows:

In a square, all the four side lengths have the same length, hence the value of x is obtained as follows:

6x - 1 = 4x + 6

2x = 7

x = 3.5 cm.

Then the side length of the square is obtained as follows:

6(3.5) - 1 = 20 cm.

More can be learned about the side length of a square at https://brainly.com/question/24487155

#SPJ1

Answer: $0.576

Step-by-step explanation:

The total amount in prizes is $1800.

For there to be 60% profit, the total cost of the tickets need to be \(1800(1.6)=\$ 2880\).

Thus, each ticket must sell for \(\frac{2880}{5000}=\$ 0.576\)

Answer: The answer is D

Step-by-step explanation:

Pythagorean theorem: a²+b²=c²

x²+x²=14²

2x²=196

Evaluate...

x=7√2