answer both questions and you will get 24 points and get brainlist

In this problem, we are trying to find the length of one rod that has been broken-up into 15 equal pieces.

Imagine this is the rod, and it has been cut into pieces:

Answer:

Angle 1 = Angle 2 = 5y -23            (Vertically opposite)

We can see that we have a triangle in the figure

Since the sum of all angles of a triangle is 180,

(2x + 13) + (47) + (5y -23) = 180

2x + 5y + 37 = 180

2x + 5y = 143

5y = 143 -2x -----------------(1)

Assuming l and m to be parallel

angle 1  = 3x (corresponding angles)

5y - 23 = 3x

From equation (1)

143 -2x - 23 = 3x

120 = 5x

x = 24 ---------------------- (2)

Using (2) in (1)

5y = 143 - 2(24)

5y = 143 - 48

5y = 95

y = 19

Therefore,

x = 24

y = 19

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Answer:

I think A is the right answer

Chad's house is 3/8 units farther away than Kelly's house.

By reading the number line, we can see that:

These fractions are the positions of each location. We want to find how much farther is Chad's house than Kelli's house from the library, this is given by:

(Chad's house position - library position) - (Kelli's house position - library position)

Writting the fractions, we get:

(7/8 - 0) - (4/8 - 0)  = 3/8

So Chad's house is 3/8 units farther away than Kelly's house.

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Answer: 3/8

Step-by-step explanation: 7/8 -4/8 equals 3/8

Answer:

x = -7

Step-by-step explanation:

Use the distibutive property on both side:

Right side:

4 ( 1 - x )

( 4 x 1 ) + 4 x -X )

4 - 4x

Left side:

-3 ( x + 1 )

( -3 x X ) + ( -3 x 1 )

-3x -3

4 - 4x + 2x = -3x - 3

Combine like terms:

( 2x + ( -4x ) ) + 4 = -3x - 3

-2x + 4 = -3x - 3

Add 3 to each side:

-2x + 7 = -3x

add 2x to each side:

7 = -x

Divide each side by -1:

-7 = x

Answer:

The lengths of the sides are 12cm, 28cm and 36cm.

Step-by-step explanation:

Let the smallest side be 4x, the middle side be 7x and the largest side be 9x.

Smallest side + middle side + largest side = 60cm

4x + 7x + 9x = 60

20x = 60

x = 60 ÷ 20

x = 3

Smallest side (4x) = 3 × 4

                             = 12

Middle side (7x)  = 7 × 4

                           = 28

Largest side (9x) = 9 × 4

                            = 36

Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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The sum of expected marks is given as follows:

9375.

Each question has four choices, hence the probability of choosing the correct choice is given as follows:

p = 1/4 = 0.25.

Then the expected number of correct answers is given as follows:

E(X) = 0.25 x 150

E(X) = 37.5.

Then the expected grade for a single student is given as follows:

37.5 - 0.25(150 - 37.5) = 9.375.

The expected sum for the 1000 students is then given as follows:

1000 x 9.375 = 9375.

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The percentage discount allowed by the wholesaler is 1%

25 naira = 25 × 100

= 2500 Kobo

Percentage discount allowed = 25 / 2500 × 100

= 0.01 × 100

= 1%

Therefore, the percentage discount allowed is 1%

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Answer:

D. Unimodal

Step-by-step explanation:

We can immediately tell the data is not symmetrical. That leaves B, C, D. The data of this histogram is also not uniform because the numbers vary- eliminating answer choice B. There are three modes of data distribution; unimodal, multimodal, and bimodal. The one demonstrated here is unimodal because there is one "hump" in the data distribution of the histogram and one mode.

The three modes of data distribution for visual context:

Answer:

(a)\(A(n)=5500(1.01)^{4n}\)

(b)$5955.71

(c)15.02 years

Step-by-step explanation:

For an initial principal P deposited in an account at an annual interest r compounded for a number of period k, the amount in the account after n years is given by the model:

\(A(n)=P(1+\dfrac{r}{k})^{nk}\)

(a)Aunt Ga Ga gave you $5,500 to save for college.

P=$5,500

Annual Interest, r=4%=0.04

Since interest is compounded quarterly, Number of Periods, k=4

Therefore, an exponential function modeling this situation is:

\(A(n)=5500(1+\dfrac{0.04}{4})^{4n}\\A(n)=5500(1+0.01)^{4n}\\$Simplified\\A(n)=5500(1.01)^{4n}\)

(b)After 2 years, i.e. when n=2

\(A(2)=5500(1.01)^{4*2}\\=\$5955.71\)

(c)When A(n)=$10000, we have:

\(10000=5500(1.01)^{4n}\\$Divide both sides by 5500\\(1.01)^{4n}=\dfrac{10000}{5500} \\$To solve for n, we change to logarithm form\\Log_{1.01}\dfrac{10000}{5500}=4n\\= \dfrac{ Log \dfrac{10000}{5500}}{Log 1.01}=4n\\4n=60.08\\n=60.08 \div 4\\n=15.02\\$Therefore, in 15.02 years, the account would be worth $10,000.\)

a) The definition of the composite function is: \((f \circ g)(x) = \frac{6}{12 + 2x}\)

b) The domain of the composite function is: (-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

The composite function of f(x) and g(x) is given by the function rule presented as follows:

(f ∘ g)(x) = f(g(x)).

For the composition of two functions, we have that the output of the inner function, which in this example is given by g(x), serves as the input of the outer function, which in this example is given by f(x).

The functions for this problem are given as follows:

Hence the composite function is obtained as follows:

\((f \circ g)(x) = f(\left\frac{6}{x}\right)\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{6}{x} + 2}\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{12 + 2x}{x}}\)

\((f \circ g)(x) = \frac{6}{12 + 2x}\)

The domain is all real values except x = 0, x = -2 and x = -6, as f(x) is not defined at x = -2 and g(x) is not defined at x = 0 and the composite function is not defined at x = -6, hence the interval notation is:

(-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

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It makes more sense to use a relatively small significance level (such as α=0.01) in this situation. The reason is, the consequences of falsely accusing a well-known company of lying in their advertising could be significant, and filing a lawsuit is a serious action.

Therefore, it is important to have a high level of confidence in the evidence before taking such a step. A small significance level would ensure that the evidence gathered is statistically significant, reducing the likelihood of making a false accusation. On the other hand, a relatively large significance level (such as α=0.10) would increase the chances of a Type I error, which is the incorrect rejection of a true null hypothesis, potentially leading to false accusations and legal repercussions.

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Answer: 50 degress

Step-by-step explanation:

i guessed and got it correct

Answer:

The probability of choosing a heart and not a club is

P =  0.1875

Step-by-step explanation:

There are 13 hearts in a deck of 52 cards. The probability that the chosen card will be a heart is given by

Probability = favorable outcome/ Total number of outcomes

P= 13/52= 1/4

There are 13 clubs in a deck of 52 cards.

The probability of not choosing a club would be

P = 52-13/52= 39/52= 3/4

So the  combined probability of choosing a heart and not a club is

P = 1/4 * 3/4= 0.25 * 0.75= 0.1875

Answer:

1/8

Step-by-step explanation:

divide both sides by 3

The range of the data is 30, and the interquartile range (IQR) is 15.

To create a box plot using the given data, we first need to determine the five-number summary, which includes the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value.

From the given data, we can determine the five-number summary as follows:

Minimum: 60

Q1: 70

Median (Q2): 80

Q3: 85

Maximum: 90

Now, let's create a box plot using this information:

```

  |         |         |         |         |

60 |––––––––|––––––––|         |

  |         |         |         |         |

70 |––––––––|––––––––|––––––––|––––––––|

  |         |         |         |         |

80 |––––––––|––––––––|––––––––|––––––––|

  |         |         |         |         |

90 |––––––––|––––––––|         |

  |         |         |         |         |

  ------------------------------------

    60       70        80        90

```

In the box plot, the line within the box represents the median (Q2), the box represents the interquartile range (IQR) from Q1 to Q3, and the lines extending from the box (whiskers) represent the minimum and maximum values. Any data points falling outside the whiskers would be considered outliers.

The range can be calculated as the difference between the maximum and minimum values:

Range = Maximum - Minimum = 90 - 60 = 30

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1):

IQR = Q3 - Q1 = 85 - 70 = 15

Therefore, the range of the data is 30, and the interquartile range (IQR) is 15.

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Answer:

Step-by-step explanation:

according to the question

\( \sf \: 2x + 4 + 62 = 90\)

simplify addition:

\( \implies \sf 2x + 66 = 90\)

subtract 66 from both sides:

\( \sf\implies 2x + 66 - 66 = 90 - 66 \\ \sf\implies2x = 24\)

divide both sides by 2:

\( \sf \implies \: \frac{2x}{2} = \frac{24}{2} \\ \sf \therefore \: x = 12\)

Answer:

Solution given:

62°+2x+4+90=180°[ sum of interior angle of a triangle is 180°]

2x=180-156°

x=24°/2

x=12°

Answer:

m∠F = 45°

Step-by-step explanation:

Notice the lengths of the given sides and the right angle. This is enough information to prove that this is a 45-45-90 triangle, or just basically a square cut diagonally.

Regardless if even just one side is given for a 45-45-90 triangle, all 45-45-90 triangles have one thing in common. The sides that form the right angle are equivalent and the hypotenuse is equal to one of the sides that form the right angle times the square root of two. I'm aware that it sounded confusing, as I'm awful at explaining, so just look at the picture I've attached instead of trying to understand my explanation that seemed like trying to learn a second language.

Look at the picture. See that FD = x times that square root of 2 and that DE = x. Now look back at your picture. It's connecting, now isn't it?

Now that we know that this is indeed a 45-45-90 triangle, we can confirm that m∠F = 45°

log base 16, 32 can be written as log₂⁴ 2₅.

Evaluate with logₐx, write a and x as powers of same.

a) log₁₆ 64

= log₂⁴=2⁶

b) log₈₁ 27

= log₃⁴ 3³

c) log₁₆ 32

= log₂⁴ 2₅

d) log₂₇ 243

= log₃³ 3₅

Therefore, log base 16, 32 can be written as log₂⁴ 2₅.

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Step-by-step explanation:

are you having problems with something if so message this guy

Answer:

D. a + 2 = 5

Step-by-step explanation:

apples + 2 more = 5 total

Answer:

105 km

Step-by-step explanation:

so, 1 cm on the map is 7 km in real life.

15 cm is 15 times 1 cm

so, the real life distance is 15×7 = 105 km

9514 1404 393

Answer:

  -1/3x

Step-by-step explanation:

We want to find the term 'a' such that ...

  (5/6x -4) + a = (1/2x -4)

Add 4-1/2x to both sides.

  (5/6 -1/2)x -4 +4 +a = 0

  (5/6 -3/6)x + a = 0 . . . . . . express the fractions using a common denominator

  1/3x + a = 0 . . . . . . . . . . simplify the difference

  a = -1/3x . . . . . . . . . . .subtract 1/3x

The term you can add to make the desired equivalent is -1/3x.

Answer:

6 hours tutoring and 8 hours landscaping.

Step-by-step explanation:

Helping in the name of Jesus.