Chester, the dog, loves to eat treats. He has eaten twice as many today as yesterday. He has eaten a total of 15 dog treats in both days.
-write the equation-

Answer:

[tex] \sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4} [/tex]

Step-by-step explanation:

[tex] \because \: x = 4 \tan \theta \\ \therefore\frac{x}{4} = \tan \theta....(1) \\ \\ \because \: { \sec}^{2} \theta = 1 + { \tan}^{2} \theta \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \tan}^{2} \theta } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \bigg( \frac{x}{4} \bigg)}^{2} } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \frac{x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm\sqrt{{ \frac{16 + x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4} [/tex]

Answer:

Angle one is a angle of depression

Step-by-step explanation:

Answer:

A parallelogram is a shape with 4 equal sides like a square or a rectangle. I hope this helped!

Answer:

22

Step-by-step explanation:

Answer:

45 are pink 55 are not pink

Step-by-step explanation:

a) The number of pink seashells is A = 45

b) The number of seashells that are not pink = 55

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the total number of seashells be = 100

Let the percentage of the seashells that are pink = 45 %

If 45% of the 100 seashells are pink, then the remaining 55% must be not pink. We can find the number of pink shells by multiplying 100 by 45%:

Number of pink shells = 100 x 0.45 = 45

To find the number of shells that are not pink, we can subtract the number of pink shells from the total number of shells:

Number of shells not pink = 100 - 45 = 55

Hence , there are 55 seashells that are not pink and 45 seashells that are pink.

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Answer:

irational number, non-repeating

Answer:

What account are you talking about?

Step-by-step explanation:

Answer:

Exact Form: − 29 30 Decimal Form: − 0.9 ¯ 6

Hoped I helped

Answer: 4.485

Step-by-step explanation:

We need to find the number between [tex]\dfrac {17}{4}[/tex] and [tex]\sqrt{20}[/tex].

For this , we first simplify the above numbers.

[tex]\dfrac{17}{4}= 4.25[/tex]  [divide 17 by 4]

[tex]\sqrt{20}=\sqrt{4\times5}=2\sqrt{5}= 2(2.236)=4.472[/tex]   [ [tex]\sqrt{5}=2.236[/tex] ]

Now, Midpoint of  4.25 and 4.472 = [tex]\dfrac{4.25+4.72}{2}=\dfrac{8.97}{2}=4.485[/tex]

Number between 4.25 and 4.472 =4.485

Or number between [tex]\dfrac {17}{4}[/tex] and [tex]\sqrt{20}[/tex] is 4.485.

Answer:

A = 24 cm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 (12)*4

A = 24 cm^2

Answer:

1/2bh.

1/2×12×4= 1/2×48.

=24cm^2

Step-by-step explanation:

Given:

h=7in

w=9in

l=6in

Required:

v=?

Formula:

v=l*w*h

Solution:

v=l*w*h

v=6in*9in*7in

v=54in^2*7in

v=378in^3

Hope this helps ;) ❤❤❤

Answer:

What's the question, what are you meant to find??

Answer:

The  probability is  [tex]P(X = 5) = 0.222[/tex]

Step-by-step explanation:

From the question we are told that

   The  proportion of business travelers that plan their own business trip is [tex]p = 0.45[/tex]

   The  sample  size is  n  = 12

    The  random number considered is  x =  5

Generally the  proportion of business travelers that do not  plan their own business trip is mathematically evaluated as

      [tex]q = 1- p[/tex]

=>   [tex]q = 1-0.45[/tex]

=>    [tex]q = 0.55[/tex]

 This  can study can be said to follow binomial distribution as there is only two outcomes

So the probability exactly 5 travelers plan their own trips is mathematically represented as

     [tex]P(X = 5) = ^{12} C_5 * p^5 * q^{12- 5 }[/tex]

Generally using a combination calculator  

      [tex]^{12} C_5 = 792[/tex]

So

    [tex]P(X = 5) = 792 * (0.45)^5 * (0.45)^{12- 5 }[/tex]

    [tex]P(X = 5) = 0.222[/tex]

Answer:

x+10

Step-by-step explanation:

Answer: The distance would be, (3, 4)

To get 8.98, the decimal point is moved 6 places to the left. This means the exponent is positive 6

The answer is D. 8.98 x 10^6

Answer: the answer is d

Step-by-step explanation:

Answer:

713/40 or as mixed fraction of 17 33/40 (see setps below)

Step-by-step explanation:

Simplify the following:

-(3 + 7/8) (-(4 + 3/5))

Hint: | Multiply all instances of -1 in -(3 + 7/8) (-(4 + 3/5)).

(-1)^2 = 1:

(4 + 3/5) (3 + 7/8)

Hint: | Put the fractions in 3 + 7/8 over a common denominator.

Put 3 + 7/8 over the common denominator 8. 3 + 7/8 = (8×3)/8 + 7/8:

(4 + 3/5) (8×3)/8 + 7/8

Hint: | Multiply 8 and 3 together.

8×3 = 24:

(4 + 3/5) (24/8 + 7/8)

Hint: | Add the fractions over a common denominator to a single fraction.

24/8 + 7/8 = (24 + 7)/8:

(4 + 3/5) (24 + 7)/8

Hint: | Evaluate 24 + 7 using long addition.

| 1 |  

| 2 | 4

+ | | 7

| 3 | 1:

(4 + 3/5)×31/8

Hint: | Put the fractions in 4 + 3/5 over a common denominator.

Put 4 + 3/5 over the common denominator 5. 4 + 3/5 = (5×4)/5 + 3/5:

31/8 (5×4)/5 + 3/5

Hint: | Multiply 5 and 4 together.

5×4 = 20:

((20/5 + 3/5)×31)/8

Hint: | Add the fractions over a common denominator to a single fraction.

20/5 + 3/5 = (20 + 3)/5:

31/8 (20 + 3)/5

Hint: | Evaluate 20 + 3.

20 + 3 = 23:

23/5×31/8

Hint: | Express 23/5×31/8 as a single fraction.

23/5×31/8 = (23×31)/(5×8):

(23×31)/(5×8)

Hint: | Multiply 5 and 8 together.

5×8 = 40:

(23×31)/40

Hint: | Multiply 23 and 31 together.

| 3 | 1

× | 2 | 3

| 9 | 3

6 | 2 | 0

7 | 1 | 3:

Answer: 713/40

________________________________________

Convert to a mixed number:

713/40

Hint: | Use long division to get a quotient and remainder.

Divide 713 by 40:

4 | 0 | 7 | 1 | 3

Hint: | How many times does 40 go into 71?

40 goes into 71 at most one time:

| | | 1 | |  

4 | 0 | 7 | 1 | 3 |  

| - | 4 | 0 | |  

| | 3 | 1 | 3 |  

Hint: | How many times does 40 go into 313?

40 goes into 313 at most 7 times:

| | | 1 | 7 |  

4 | 0 | 7 | 1 | 3 |  

| - | 4 | 0 | |  

| | 3 | 1 | 3 |  

| - | 2 | 8 | 0 |  

| | | 3 | 3 |  

Hint: | Summarize the results.

Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:

| | | 1 | 7 | (quotient)

4 | 0 | 7 | 1 | 3 |  

| - | 4 | 0 | |  

| | 3 | 1 | 3 |  

| - | 2 | 8 | 0 |  

| | | 3 | 3 | (remainder)

Hint: | In the equivalent mixed fraction, the quotient becomes the whole number part, the remainder becomes the numerator part, and the divisor (denominator) remains the denominator.

The quotient of 713/40 is 17 with remainder 33, so:

Answer: 17 33/40

Answer:

Step-by-step explanation:

-10m + 35 + 5 = 120

-10m + 40 = 120

-10m = 80

m = -8

Answer:

Relative frequency

Step-by-step explanation:

In a    relative frequency distribution, the frequency of a class is replaced with a proportion or percent.

A relative frequency distribution displays how the proportion of totality of the observations related to each class is correlated to the probability distribution. A relative frequency distribution shows the proportion of times a value occurs in each class. It can be determined by the division of the frequency with the total number of data values.

Answer:

400%

Step-by-step explanation:

20-16=4

4*100%=400%

Answer:

  4/9 cubic units

Step-by-step explanation:

The volume of a rectangular prism is the product of its edge lengths:

  V = LWH

  V = (1/2)(2/3)(4/3) = (1·2·4)/(2·3·3) = 4/9 . . . . cubic units

Answer:

D. y= -3x+ 5

Step-by-step explanation:

[tex]12x + 4y = 20[/tex]

Move 12x to the right and change its sign

[tex]4y =20-12x[/tex]

Divide through by 4

[tex]\frac{4y}{4} = \frac{20}{4} -\frac{12x}{4} \\\\Simplify\\y = 5-3x\\y =-3x+5[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{y = - 3x + 5}}}}}[/tex]

Option D is the correct option.

Step-by-step explanation:

[tex] \sf{12x + 4y = 20}[/tex]

Move 12x to right hand side and change it's sign

⇒[tex] \sf{4y = - 12x + 20}[/tex]

Divide both sides of the equation by 4

⇒[tex] \sf{ \frac{4y}{y} = \frac{ - 12x + 20}{4} }[/tex]

⇒[tex] \sf{y = \frac{ - 12x}{4} + \frac{20}{4} }[/tex]

Divide -12x by 4 . Also divide 20 by 4

⇒[tex] \sf{y = - 3x + 5}[/tex]

Hope I helped!

Best regards!! :D

Answer:

none

Step-by-step explanation:

no x because (y-3)=14 so the x wouldnt repeat

Answer:

y = 5

Step-by-step explanation:

-7(y-3)= -14

Divide each side by -7

-7/-7(y-3)= -14/-7

y-3 = 2

Add 3 to each side

y-3+3 = 2+3

y = 5

Answer:

11.70

Step-by-step explanation:

Answer: 17.92

Step-by-step explanation:

32% of 56  

Change to fraction

32 /100 x 56

Change to decimal

0.32 x 56

= 17.92

MUN = {6, 7, 8, 9, 10}

Step-by-step explanation:

M={ }

N = {6, 7, 8, 9, 10)

MUN = {6, 7, 8, 9, 10} .. (because A∪∅=A)

Answer:

(Weight (lb), Price ($) ) = (0.45,2.3)

That means :

1) So, if we want to find the price per pound, we'll divide 2.3 by 0.45:

=> [tex]\frac{\$ 2.3}{0.45 \ lb}[/tex] [True]

2) Second Statement: [False]

The weight of every 0.45 lb of bag is 2.3 pounds not for per bag.

3) Third Statement: [False]

2.3 pounds of almonds cost $0.45

This is incorrect according to the graph.

4) Fourth Statement: [False]

Almonds cost $0.45 per pound

Let's check it out

0.45 lb = $2.3

Dividing both sides by 0.45

1 lb = $5.11

It is not $4.5

5) Fifth Statement: [True]

0.45 pounds of almond costs $2.30

For every 0.45 pounds, there are $2.30 . So, this statement is true!