Solve for x

Answer options:
4
5
8
3
2

Answer:

4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 30 = x/8

8 sin 30 =x

8 (1/2) = x

4

Answer:

The answet is A. 4

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

a) For payments made at the beginning of the period, the annuity is called an "annuity due." The formula in the first attachment tells how to compute the payment for a given present value ($500,000), number of periods (N=10), and interest rate (i=0.08).

  pmt = $500,000/(1 +(1 -(1 +i)^(-N+1))/i) = $500,000/(1 +(1 -(1.08^-9))/.08)

  pmt ≈ $68,995.13 . . . . annual payment

__

b) After the first payment, the account balance is ...

  $500,000 -68,995.13 = $431,004.87

After subsequent payments, the account balance will be ...

  $431,004.87×1.08 -68,995.13 = $396,490.13 . . . after 2nd payment

  $396,490.13×1.08 -68,995.13 = $359,214.21 . . . after 3rd payment

The payment amount that can be made in perpetuity is the amount of the monthly interest on this balance:

  X = $359,214.21 × (0.08/12) = $2394.76

Answer:

52 is (a)

55 is.( d)

56. is (d)

Answer:

D represents a proportional relationship

Step-by-step explanation:

Proportional graphs always intersect with zero

Answer:

solution,

5x/7-5=50

5x-35=50

5x=50-35

5x=15

x=15/5

x=3.

Answer:

x = 77

Step-by-step explanation:

Solve for x:

5x/7 - 5 = 50

5x/7 -5 (+5) = 50 (+5)

5x/7 = 55

5x/7 (*7) = 55 (*7)

5x = 385

5x (÷5) = 385 (÷5)

x = 77

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Answer:

  ∠C = ∠A = 53°

  ∠D = 127°

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so ...

  ∠A = ∠C

  13x -25 = 9x -1

  4x = 24

  x = 6

  ∠C = ∠A = 9(6) -1

  ∠C = ∠A = 53°

Adjacent angles of a parallelogram are supplementary.

  ∠D = 180 -∠C

  ∠D = 180 -(9(6) -1) = 180 -53

  ∠D = 127°

Answer: 80

Step-by-step explanation:

p   …   q   …   ¬q   …   p ∨ ¬q   …   (p ∨ ¬q) ⇒ q

T   …   T   …    F   …        T        …          T

T   …   F   …    T   …        T        …          F

F   …   T   …    F   …        F        …          T

F   …   F   …    T   …        T        …          F

Start with the first two columns, taking every possible pair of True/False for p and q.

¬q is just the negation of q, so True becomes False and False becomes True.

p ∨ q is the logical disjunction, or logical "or". It's True if either p or q is True, and False otherwise. So p ∨ ¬q is True only if either p or ¬q is True.

p ⇒ q is the logical implication. It's True only when both p and q are True, or when p is False. So (p ∨ ¬q) ⇒ q is True when both p ∨ ¬q and q are True, or when p ∨ ¬q is False.

Answer:

a1 = 24

an = an-1 × 1/2, n >1

Step-by-step explanation:

a geometric sequence is a sequence where we multiply every previous term by a certain factor to create the next term.

so, we multiply 24 by something to get 12.

and then 12 by the same something to get 6.

and then 6 by the and something to get 3.

do you see the pattern ? hmmm ?

right, we always divide by 2 (or multiply by 1/2).

the starting value a1 = 24

so,

an = an-1 × 1/2, n>1

or

[tex]an = a1 \times {(1 \div 2)}^{n - 1} [/tex]

n>1

Answer:

107.14 ml of 70% dextrose and 392.86 ml of sterile water should be used.

Step-by-step explanation:

Since a label prints in the pediatric pharmacy satellite for 500 mL of dextrose 15% solution, but this concentration is not available commercially and needs to be compounded, and available in your pharmacy, you have a 1 L bag of sterile water and a 1 L bag of dextrose 70% available to compound the solution, to determine how many mLs of each are needed to make the requested solution, the following calculation must be performed:

500 x 0.15 = 75

100 x 0.70 = 70

A x 0.70 = 75

A = 75 / 0.70

A = 107.14

Therefore, 107.14 ml of 70% dextrose and 392.86 ml of sterile water should be used.

Answer:

[tex] {4}^{m} = \frac{1}{16} [/tex]

[tex] {4}^{m} = {4}^{ - 2} [/tex]

[tex]same \: base \: so[/tex]

[tex]m = - 2[/tex]

[tex]hope \: this \: help \: u[/tex]

Answer:

Answer:

{4}^{m} = \frac{1}{16}4

m

=

16

1

{4}^{m} = {4}^{ - 2}4

m

=4

−2

same \: base \: sosamebaseso

m = - 2m=−2

hope \: this \: help \: uhopethishelpu

Answer:

we use the terms, the hypothesis is incorrect or we lack sufficient evidence to declare the hypothesis incorrect. in hypothesis testing

Step-by-step explanation:

The conclusion made by the researcher after conducting a hypothesis test ( i.e. hypothesis is correct ) is not the right decision because in hypothesis testing we either reject the Null hypothesis or we fail to reject the Null hypothesis.  

These conclusions can be made when;

P-value < ∝  ( reject null hypothesis ) and P-value > ∝ ( fail to reject null hypothesis )

and We do not use the term  the hypothesis is correct But we use these terms, the hypothesis is incorrect or we lack sufficient evidence to declare the hypothesis incorrect.

Answer:

2; 28.5 ; 34 ; 36 ; 38

Step-by-step explanation:

Given the data:

X = 25, 28, 29, 30, 34, 35, 35, 37, 38

n = 9

Values have been arranged in ascending order ;

The 5 number summary :

Maximum value : highest data value in the list = 38

Minimum value : Lowest data value in the list = 25

The lower quartile ; Q1 = 1/4(n+1)th term

Q1 = 1/4(10) th term = 2.5th term

Q1 = (2nd + 3rd) / 2 = (28+29)/2 = 28.5

Q2 = 1/2(n+1)th term

Q2 = 1/2(10) th term = 5th term

Q2 = 34

Q3 = 3/4(n+1)th term

Q3 = 3/4(10) th term = 7.5th term

Q3 = (7th + 8th) / 2 = (35+37)/2 = 36

Maximum value = 38 (highest data value in the list)

Answer:

(0,-2)

Step-by-step explanation:

The width of the actual garden patio according to the scale drawing is 14 meters.

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Given the scale of 1 cm : 2 m

For a patio of 7 cm, then:

Actual patio = 7 cm / (1 cm/ 2m) = 14 m

The width of the actual garden patio according to the scale drawing is 14 meters.

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Answer:

  B. (-2, -4)

Step-by-step explanation:

Use one equation to substitute for y in the other.

  3x +2 = -2x -8

  5x = -10 . . . . . . . . add 2x-2

  x = -2 . . . . . . . . . tells you choice B is correct

Then ...

  y = 3(-2) +2 = -4

Answer:

Hence his displacement would be 10 miles and the total distance he travels is 18 miles.

Step-by-step explanation:

Jack travel 4mile in South then come home so his net displacement is zero because his initial and final point coincide. Now he again travels 10 miles within the South so his displacement would be 10 miles and therefore the total distance he travels is

              ⇒    4 +4+ 10 =18 miles.

20’ / 5’ = 4

4 x 10” = 40”

40’ /5’ = 8

8 x 10” = 80”

Scaled dimension: 40” x 80”

A ratio shows us the number of times a number contains another number. The correct option is C.

A ratio shows us the number of times a number contains another number.

Given that the model rectangle with a scale of 5' = 10'' is to be made. Therefore, the ratio is,

5' = 10"

1' = (10/5)" = 2"

If the dimensions of a rectangle are 20' by 40'.

20' = 20 × 2" = 40"

40' = 40 × 2" = 80"

Hence, the correct option is C.

Learn more about Ratios:

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Step-by-step explanation:

This is a translation (x + 5, y + 2).

Answer:

C) Vertical angles

Step-by-step explanation:

They’re vertical angles because they’d be equal to each other and they’re located across from one another in the corners of the "X" formed by 2 straight lines.

Answer:

90

Step-by-step explanation:

39+23+28=90

180-90=90

Answer:

See below

Step-by-step explanation:

3. What are two ways that a vector can be represented?

Considering a vector [tex]\vec{v}[/tex] in some vector space [tex]\mathbb R^n[/tex] we have

[tex]\vec{v} = \langle a,b\rangle[/tex]

This is the component form. I don't like that way. It is probably used in high school, but

[tex]\vec{v} = \begin{pmatrix} a\\ b\\ \end{pmatrix}[/tex]

is preferable because the inner product on [tex]\mathbb R^n[/tex] is defined to be

[tex]$\langle a,b\rangle := \sum_{i = 1}^n a_i b_i$[/tex]

You can also write it using linear form such as [tex]\vec{v} = 2i+2j[/tex]

4.

For this question, I think you meant

vectors

[tex]\vec{u_1} = (-8, 12)[/tex]

[tex]\vec{u_2} = (13, 15)[/tex]

Once

[tex]\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}[/tex]

Considering that the dot product is

[tex]\vec{u_1}\cdot \vec{u_2} = (-8)\cdot 13 + 12\cdot 15 = -104+180= 76[/tex]

and the norm of [tex]\vec{u_1}[/tex] is [tex]||\vec{u_1}|| = \sqrt{(-8)^2 + 12^2} = \sqrt{64 + 144}= \sqrt{208}[/tex]

and the norm of [tex]\vec{u_2}[/tex] is [tex]||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}[/tex]

Thus,

[tex]\cos(\theta)=\dfrac{76}{\sqrt{208} \sqrt{394}} = \dfrac{19}{\sqrt{13}\sqrt{394}}=\dfrac{19}{\sqrt{5122}}[/tex]

[tex]\therefore \theta = \arccos \left(\dfrac{19}{\sqrt{5122}} \right)[/tex]

Answer:

E(penny) = 1.75 and E(nickel) = 1.5, so she should play with the pennies.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

trust meh

Answer:

no it is 10 times greater because we use the base 10 system where each number to the left is 10 times greater

Step-by-step explanation:

Answer:

option 2 4x²- 8x -4 ghhhhhhhhhhj8

Answer:

y = 2x-3

Step-by-step explanation:

y – 1 = 2(x – 2)

Distribute

y-1 =2x-4

Add 1 to each side

y-1+1 = 2x-4+1

y = 2x-3

Answer:

[tex]\frac{41}{28}[/tex] = [tex]1\frac{13}{28}[/tex]

Step-by-step explanation:

In order to add fractions, the denominators must all be the same value (the lowest common denominator). The lowest common denominator is the smallest value that all of the given denominators (in this case, the denominators are 4, 14, and 7) can divide into.

Here, the smallest number that all three of the given denominators can perfectly divide into is 28:

28 ÷ 4 = 7

28 ÷ 14 = 2

28 ÷ 7 = 4

Therefore, our lowest common denominator is 28.

The next step is to change our numerators to match our lowest common denominator. To do this, we have to multiply the numerator by the same value that we would need to multiple the denominator by in order to get our lowest common denominator.

For our first term of 1/4, we need to multiply our denominator (4) by 7 in order to get our lowest common denominator of 28. So, we need to also multiply our numerator by 7:

[tex]\frac{1}{4}[/tex] × [tex]\frac{7}{7}[/tex] = [tex]\frac{7}{28}[/tex]

Therefore, our first term becomes [tex]\frac{7}{28}[/tex].

For our second term of 5/14, we need to multiply our denominator (14) by 2. So, we need to also multiply our numerator by 2:

[tex]\frac{5}{14}[/tex] × [tex]\frac{2}{2}[/tex] = [tex]\frac{10}{28}[/tex]

Therefore, our second term becomes [tex]\frac{10}{28}[/tex].

For our third term of 6/7, we need to multiply our denominator (7) by 4. So, we need to also multiply our numerator by 4:

[tex]\frac{6}{7}[/tex] × [tex]\frac{4}{4}[/tex] = [tex]\frac{24}{28}[/tex]

Therefore, our third term becomes [tex]\frac{24}{28}[/tex].

Now that they all have the same denominator, we simply have to add all three together:

[tex]\frac{7}{28}[/tex] + [tex]\frac{10}{28}[/tex] + [tex]\frac{24}{28}[/tex] = [tex]\frac{41}{28}[/tex]

When we simplify this into a mixed number, we get:

[tex]\frac{41}{28}[/tex] = [tex]1\frac{13}{28}[/tex]

Answer:

41/28 = 1 (13/28)

Step-by-step explanation:

gotta make the denominators the same.