In "dreams from my father," what causes obama's embarrassment on his first day of school?
oa his classmates' questions about his father
ob miss hefty's questions about life in kenya
oc gramps' insistence that they arrive early
od his betrayal of coretta on the playground

Answer:

106°

Step-by-step explanation:

AOD = COB (because of vertical angles)

COB = COF + FOB

COF = 90

FOB = 16

COB = 90 + 16 = 106

AOD = 106

Hope this helps :)

Have a nice day!

Step-by-step explanation:

Answer:

7/20 kilograms

Step-by-step explanation:

Mark gave his sister 1/2 of 7/10 kilograms of sweet

a/b of x/y is a/b * x/y

7/10 * 1/2 = 7/20 kilograms, can it be simplified? No-

Area = (14 x 20) - ( 5 x 9)

Area = 280 - 45

Area = 235 square cm

Answer:

WXZ = 123

XZW = 28.5

XWZ = 28.5

Step-by-step explanation:

Answer:

B. s = 32t

Step-by-step explanation:

The equation would be in the form of s = mt.

Where, m = rate of change

Find rate of change using any two values given in the table, say (1, 32) and (2, 64)

Rate of change (m) = ∆s/∆m = (64 - 32)/(2 - 1) = 32/1 = 32

✔️To write the equation, substite m = 32 into s = mt

s = 32t

Answer:

Animism

Step-by-step explanation:

Animism is often a major idea or thought which is developed in a child preooperational stage according to paiget's theory of cognitive development where a child's learning is driven and derived from by symbols. At this stage, a child often relates with their toys, and other inanimate objects they come across as though they were real, manipulating and transforming them to form different things including relating with these manipulated objects like they were living. This is because at this stage, a child cannot use cognitive or logic to make distinctions.

Answer:

9/10

Step-by-step explanation:

Answer:

0.4 or 2/5

Step-by-step explanation:

Answer:

$9 I think

Step-by-step explanation:

(hhhhhhhhaahahahahshshahahhaahaaaa

Answer:

$8.66 is rounded to $9

Step-by-step explanation:

When rounding a number, you round to the nearest whole number.

If the last digit is 5 or higher (5,6,7,8,9,) it rounds up

If the last digit is 4 or lower (1,2,3,4) it rounds down

Example:

$7.60 would be rounded to $8 because 6 is higher than 5, or in this case,  60 is higher than 50

$4.40 would be rounded to $4 because 4 is lower than 5, or in this case,  40 is lower than 50

equation of the parabola is:
y = (1/12)x^2 - (1/6)x + 49/12
So, the correct answer is not among the given options.

To find the equation of a parabola given the vertex and the directrix, we can use the standard form of the equation for a parabola:

(x - h)^2 = 4p(y - k)

Where (h, k) is the vertex and p is the distance from the vertex to the focus (or the directrix).

Given that the vertex is (1, 4) and the directrix is y = 7, we can determine the value of p. Since the directrix is a horizontal line, the distance from the vertex to the directrix is the same as the distance from the vertex to the focus. Therefore, p = 7 - 4 = 3.

Plugging the values into the standard form equation, we have:

(x - 1)^2 = 4(3)(y - 4)

Simplifying the equation further:

(x - 1)^2 = 12(y - 4)

Expanding the equation:

x^2 - 2x + 1 = 12y - 48

Rearranging the equation:

12y = x^2 - 2x + 49

Dividing by 12:

y = (1/12)x^2 - (1/6)x + 49/12

Therefore,  equation of the parabola is:

y = (1/12)x^2 - (1/6)x + 49/12

So, the correct answer is not among the given options.

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Answer: the correct answer is A. Between 0 and 90

If an angle is between 0 and 90 it is acute

If an angle is EXACTLY 90 it is a right angle

If an angle is between 90 and 180 it is obtuse angle

If it's 360 then it is a full circle

Answer: \(\Large\boxed{C.~21}\)

Step-by-step explanation:

The goal of the question

Find the value of 2abcosC

Given information

a = 4

b = 3

c = 2

Given formula (Law of Cosine)

\(c^2=a^2+b^2-2abcosC\)

Substitute values into the formula (Leave 2abcosC as it is)

\((2)^2=(4)^2+(3)^2-2abcosC\)

Simplify the exponents

\(4=16+9-2abcosC\)

Simplify by addition

\(4=25-2abcosC\)

Add 2abcosC on both sides

\(4+2abcosC=25-2abcosC+2abcosC\)

\(4+2abcosC=25\)

Subtract 4 on both sides

\(4 + 2abcosC-4=25-4\)

\(\Large\boxed{2abcosC=21}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

C

Step-by-step explanation:

a² + b² - 2abcosC = c² ( subtract a² + b² from both sides )

- 2abcosC = c² - a² - b² ( multiply through by - 1 )

2abcosC = a² + b² - c²

a, b, c are the sides opposite vertices A, B, C

here a = 4 , b = 3 , c = 2 , then

a² + b² - c²

= 4² + 3² - 2²

= 16 + 9 - 4

= 25 - 4

= 21

Sample size and the confidence level width have an inverse relationship. As the sample size increases, the confidence level width decreases.

When determining a confidence interval for a population parameter, such as the mean or proportion, a larger sample size provides more information about the population. This increased information leads to a narrower confidence interval.

The confidence level width is influenced by two factors: the sample standard deviation (or the variability of the data) and the critical value associated with the desired confidence level. As the sample size increases, the sample standard deviation becomes a more accurate estimate of the population standard deviation. This reduces the variability and leads to a narrower confidence interval.

A larger sample size leads to a decrease in the confidence level width, providing a more precise estimate of the population parameter with a higher level of confidence.

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Answer:

well the answer is 0.185

Step-by-step explanation:

Answer:

It's the second answer down : Angle B, A and C

Step-by-step explanation:

The sequence from the smallest to the largest is angle B, angle A, angle C .

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given AB= 22 units

BC=16 units

AC=12 units

The property of Triangle says, in a triangle, angle opposite to the greater side have greater angle.

That is angle opposite to the shorter side have shorter angle.

Therefore, we have

Therefore,

angle opposite to side AC is angle B,

angle opposite to side BC is angle A,

angle opposite to side AB is angle C,

Therefore, the sequence from the smallest to the largest is angle B, angle A, angle C .

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The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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Jerry worked for 4.3 hours to install the equipment based on a rate of $20 per hour.

This problem can be solved using a linear equation.

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable raised to the power of 1.

Let's say the number of hours Jerry worked to install the equipment is "h".

According to the problem, Jerry charges $50 to schedule a repair visit, which means that the remaining amount after deducting the scheduling fee from the total bill ($136) is used to pay for the equipment installation.

So, the amount Jerry earned from the equipment installation is:

$136 - $50 (scheduling fee) = $86

We know that Jerry charges $20 per hour to install equipment. Therefore, the equation we can set up is:

$86 = $20 × h

Solving for "h", we get:

h = $86 / $20 = 4.3 hours (rounded to one decimal place)

Therefore, Jerry worked for 4.3 hours to install the equipment.

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Step-by-step explanation:

the smallest :13

the largest :75

Answer:

smallest :13

largest :75

Answer:

16..............................

Using the mathematical induction it can be proved that that for n ∈ X+ ,1 · 2 + 2 · 3 + ··· + n(n + 1) = n(n + 1) (n + 3)/3.

Mathematical induction is a method of proof. The base case is proven initially, then the inductive step is demonstrated.

Proof by mathematical induction,

The goal is to show that P(n) is correct for all integers n, where P(n) is a statement that depends on n.

The proof by mathematical induction has two stages:

Stage 1: Base Case: the basis for mathematical induction is the initial step. When the statement is accurate for the first value of n, this is proven.

Stage 2: Inductive step: the next step is to show that if the statement is valid for any given value of n, it must also be accurate for the next value of n.

Now, proof for the given series of questions,

1. Base case :

n=1, P(1) = 1·2 = 2

LHS = 1·2 = 2

RHS = 1(1+1)(1+3)/3 = 2

So, LHS = RHS

2. Inductive Hypothesis : Let's assume that the given equation is true for some natural number k.

1 · 2 + 2 · 3 + ··· + k(k + 1) = k(k + 1) (k + 3)/33.

Inductive Step, we need to show that the given equation is valid for k+1.

LHS = 1 · 2 + 2 · 3 + ··· + k(k + 1) + (k + 1)(k + 2)

RHS = k(k + 1) (k + 3)/3 + (k + 1)(k + 2)

LHS = RHS

1 · 2 + 2 · 3 + ··· + k(k + 1) + (k + 1)(k + 2)

= k(k + 1) (k + 3)/3 + (k + 1)(k + 2)1 · 2 + 2 · 3 + ··· + k(k + 1) + (k + 1)(k + 2)

= (k + 1)[k(k + 3)/3 + (k + 2)]1 · 2 + 2 · 3 + ··· + k(k + 1) + (k + 1)(k + 2)

= (k + 1)(k + 3)(k + 2)/3

Therefore, we can conclude that for n ∈ X+ ,1 · 2 + 2 · 3 + ··· + n(n + 1) = n(n + 1) (n + 3)/3.

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Answer:

12 cups

Step-by-step explanation

If the size of the bag decreased by 20%, so will the number of cups held.

Number of cups held before the change = 15 cups

If the number of cups held after the 20% reduction in the size of the bag

= (100 - 20)% × 15

=80% × 15

= 12 cups

The new bags will hold 12 cups.

The congruence relation is used to define residue classes.

Congruence is an important idea in algebra that is often used to describe equivalence classes of integers modulo some integer n. A congruence relation on a set of integers is a binary relation that reflects equality modulo some integer n. Specifically, if a and b are two integers, then we say that a is congruent to b modulo n, or a ≡ b (mod n), if a - b is divisible by n.

The congruence relation is used to partition the set of integers into equivalence classes that are referred to as residue classes. Each residue class is represented by a single integer that is congruent to all the other integers in the class. In other words, a residue class is a collection of integers that have the same remainder when divided by n. There are exactly n residue classes modulo n, each of which is represented by a unique integer from 0 to n-1. Residue classes are used extensively in number theory and algebraic geometry, where they are used to study systems of equations and algebraic curves.

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Answer:

(5,1)

Step-by-step explanation:

2x-y=9

(5,1)

There are many ordered pairs you could choose. For instance if x=0, then y=9. So you have the pair (0,9). If y=0, then 2x=9, so x=4.5. So you have the pair (4.5,0). You can keep making pairs by plugging in different values!

Answer:

x=1/16

Step-by-step explanation:

Answer:

Step-by-step explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

From the question

mass = 10 kg

acceleration = 5 m/s²

We have

force = 10 × 5

We have the final answer as

Hope this helps you

Answer:

5/3

Step-by-step explanation:

1) The denominator will be multiply to the whole number to find the improper fraction. 3 (denominator) x 1 (whole number)

2) 1 plus 2 (numerator) equal 5

3) Always keep the denominator (3) for you improper fraction.

4) 5 will be the numerator and 3 will be the denominator.

5/3

Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

after 14 years, there will be approximately 1.97g of the radioactive substance remaining.

To solve this problem, we can use the concept of exponential decay for radioactive substances. The decay of a radioactive substance can be modeled by the equation:

N(t) = N₀ * e^(-kt),

where N(t) is the amount of substance at time t, N₀ is the initial amount of substance, e is the base of the natural logarithm, k is the decay constant, and t is the time elapsed.

In this case, we are given that the initial amount N₀ is 10g and the amount after 9 years N(9) is 5g. We can use this information to find the value of k.

5 = 10 * e^(-9k).

Divide both sides of the equation by 10:

0.5 = e^(-9k).

Take the natural logarithm of both sides:

ln(0.5) = -9k.

Solve for k:

k = ln(0.5) / -9.

Now that we have the value of k, we can use it to find the amount of substance after 14 years, N(14):

N(14) = N₀ * e^(-kt).

N(14) = 10 * e^(-ln(0.5) / -9 * 14).

N(14) = 10 * e^(14 * ln(0.5) / 9).

N(14) ≈ 10 * 0.197 = 1.97.

Therefore, after 14 years, there will be approximately 1.97g of the radioactive substance remaining.

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Answer:

x = 9

Step-by-step explanation:

( 17x + 7 )° = ( 13x + 3 )° + 40°

17x + 7 = 13x + 3 + 40

17x - 13x = 43 - 7

4x = 36

x = 9