7 cm
Intro
5 cm
A
5 cm
D
4 cm
B
E
3 cm
3 cm
C
7 cm
Which face has an area of 28 cm²?
Face
4 of 10
Done

The values of the x in the given equation are x = 6.46 and x = -0.46

From the question, we are to solve the equation for x

The given equation is

(x+3)² -10 = 2

First, add 10 to both sides of the equation

(x+3)² -10 +10 = 2 +10

(x+3)²  = 12

Now, take the square root of both sides to get

x + 3 = ±√12

∴ x = 3 ± √12

x = 3+√12 OR 3-√12

x = 3 + 3.46 OR 3 - 3.46

x = 6.46 OR -0.46

Hence, the values of the x in the given equation are x = 6.46 and x = -0.46

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Answer:

7x  + 9/10  ft

Step-by-step explanation:

To find the perimeter of a triangle, add the lengths of the three sides

P = 2x + 1/5  +  4x + 1/2  + x+ 1/ 5

Combine like terms

P = 7x + 2/5 +1/2

Get a common denominator

P = 7x + 2/5(2/2) + 1/2 * (5/5)

   = 7x + 4/10 + 5/10

   = 7x  + 9/10

The conversion of the vectors into coordinate notation rule are as follows;

It follows from the task content that the vectors given in the task content can be converted to coordinate notation form by mapping x and y to their respective transformation units. It therefore follows that the coordinate notation form of the vectors are;

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The significance of 3,548 estimates the average grams of salt used in 2012.

A connection between independent variables and the dependent variable.is defined by the function.

Functions help to represent graphs and equations. A function is represented by two variables, one is dependent, and another one is an independent function.

The study discovered that the function can represent the data after the year 2012 as,

f(x) = 52.3x + 3,548

Where x is the number of years since 2012.

Hence, The significance of 3,548 estimates the average grams of salt used in 2012.

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Answer:

a = 2m - b , a = 15

Step-by-step explanation:

(a)

m = [tex]\frac{1}{2}[/tex] (a + b) ← multiply both sides by 2 to clear the fraction

2m = a + b ( subtract b from both sides )

2m - b = a

(b)

when m = 19 and b = 23 , then

a = 2(19) - 23 = 38 - 23 = 15

a. 'a' in terms of m and b is given by: a = 2m - b.
b. when m = 19 and b = 23, the value of 'a' is 15.

a. To express a in terms of m and b, we can rearrange the mean formula:

m = (1/2)(a + b)

Now, we'll solve for 'a':

Multiply both sides by 2 to eliminate the fraction:

2m = a + b

Subtract 'b' from both sides:

2m - b = a

So, 'a' in terms of m and b is given by: a = 2m - b.

b. Now that we have the expression for 'a', we can find its value when m = 19 and b = 23:

a = 2m - b

a = 2(19) - 23

a = 38 - 23

a = 15

So, when m = 19 and b = 23, the value of 'a' is 15.

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USD per person = $[tex]2.31[/tex] × [tex]10^{13}[/tex].

To find how many dollars would each receive:

Avogadro's number of pennies is divided equally among 261 million people.

Avogadro's number is [tex]6.022[/tex] × [tex]10^{23}[/tex].

To find the number of pennies each person will receive, we divide [tex]6.022[/tex] × [tex]10^{23}[/tex] by 261 million.

Pennies per person = [tex]\frac{6.022 * 10^{23} }{261 million} = \frac{6.022 * 10^{23} }{261 * 10^{6} } = 2.31 * 10^{15}[/tex]

This is equal to the number of cents each person receives.

To convert pennies into dollars, 1 USD = 100 pennies, divide [tex]2.31 * 10^{15}[/tex] by [tex]100[/tex].

USD per person = [tex]\frac{2.31 * 10^{15} }{100} = $2.31 * 10^{13}[/tex]

Therefore, USD per person = $[tex]2.31[/tex] × [tex]10^{13}[/tex].

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The question you are looking for is here:

If Avogadro's number of pennies is divided equally among the 261 million men, women, and children in the United States, how many dollars would each receive?

Using an exponential function, it is found that Mary's initial investment was of $3,030.

An exponential function is modeled by:

[tex]y = ab^x[/tex].

In which:

Her investment model, in thousands of dollars, is:

[tex]M(x) = 3.03(1.28)^{2x}[/tex]

Then a = 3.03, since we measure the amount in thousands of dollars, Mary's initial investment was of $3,030.

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Answer:

You add the numerator

multiply the denominator and substract

then you can divide the expression.

Step-by-step explanation:

According to BODMAS

division comes before multiplication, addition and subtraction.

but in some cases like this, it's difficult to follow that procedure

Answer:

C. 52.8 ft.

Step-by-step explanation:

Calculate the perimeter of the garden

[tex]P=2l+2w=2(15.6)+2(10.8)=31.2+21.6=52.8[/tex]

The perimeter represents the length of the fencing material she needs

Hope this helps

Answer:

52.8 if u give me brainliest tht will be so help full:)

Step-by-step explanation:

Answer:

12/13

Step-by-step explanation:

     [tex]\sf Cos \ x = \dfrac{adjacent \ side \ to \ \angle x}{hypotenuse}\\\\[/tex]

              [tex]\sf = \dfrac{XY}{ZX}\\\\=\dfrac{36}{39}\\\\=\dfrac{36 \div3}{39 \div 3}\\\\=\dfrac{12}{13}[/tex]

your anwer would be 12/13 love

Answer:

[tex]y=7x[/tex]

I hope this helps and that you can give a brainliest!

Step-by-step explanation:

If x and y vary directly, that means that y is directly proportional to x. So, the parent function is y = kx.

So, by plugging in the given y=42 when x=6 into this parent function, we get:

42=6k

If we solve for k, we end up with 7.

Now if we plug in the value of k back into the parent function of this scenario, we get:
[tex]y=7x[/tex]

Answer:

d

Step-by-step explanation:

there is a common difference between consecutive terms in the series, that is

4 - 13 = - 5 - 4 = - 14 - (- 5) = - 23 - (- 14) = - 9

this indicates the series is arithmetic with sum to n terms

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 13 and d = - 9 , then

S₂₉ = [tex]\frac{29}{2}[/tex] [ (2 × 13) + (28 × - 9) ]

      = 14.4(26 + (- 252))

      = 14.5(26 - 252)

      = 14.5 × - 226

      = - 3,277

When sampling is finished without replacement, each member of a population could also be chosen just once. during this case, the chances for the second pick are full of the results of the primary pick. The events are considered to be dependent or not independent.

lets understand with the help of an Example

You have a good, well-shuffled deck of 52 cards. It consists of 4 suits. The suits are clubs, diamonds, hearts and spades. There are 13 cards in each suit consisting of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king) of that suit.

Sampling without replacement:

Suppose you decide three cards without replacement. the primary card you choose out of the 52 cards is that the K of hearts. you place this card aside and pick the second card from the 51 cards remaining within the deck. it's the three of diamonds. you place this card aside and pick the third card from the remaining 50 cards within the deck. The third card is that the J of spades. Your picks are . Because you have got picked the cards without replacement, you can not pick the identical card twice.

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The expected value of drawing a  marble from the jar is -$0.8.

Given that jar is filled with 50 coloured marbles out of which 8 are red , 20 are blue and 22 are green and we have to find the expected value that a player will get by drawing one marble from the jar if the prize of drawing red marble is $20 and loss of $10 if blue marble is drawn.

Probability that a red marble is drawn from jar=8/50

Probability that a blue marble is drawn from jar=20/50

Probability that a green marble is drawn from jar=22/50

Value that player can expect by drawing a red marble from jar=

=P(X=red)*20-P(X=blue)*10+P(X=green)*0

=8/50*20-20/50*10+0

=16/5-20/5

=-4/5

=-0.8

It is negative ,means that player will not get any money. In fact player will lose $0.8.

Hence the expected value that player can expect is -$0.8.

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Question is incomplete as it should include that calculate the expected value of drawing a marble.

Answer:

98 days

Step-by-step explanation:

140*70%=140*(7/10)=14*7=98

The citizens of a state may only register to vote after proving to have submitted their census survey is a "false" statement.

In order to create statistics that define populations and their characteristics, such as age, education, housing, and income, the U.S. Census Bureau compiles data from households.

The purpose of census survey are-

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The complete question is-

The citizens of a state may only register to vote after proving to have submitted their census survey.(True/False)

Hello,

3a - 2 + 5a + 3 + 6a + 1 = 86

14a + 2 = 86

14a = 86 - 2

14a = 84

a = 84/14

a = 6

lengths :

3a - 2 = 3 × 6 - 2 = 18 - 2 = 16 cm

5a + 3 = 5 × 6 + 3 = 30 + 3 = 33 cm

6a + 1 = 6 × 6 + 1 = 36 + 1 = 37 cm

Answer:

b

Step-by-step explanation:

b shows direct variation because we can clearly tell that the slope of the graph is 1/2. The graph is also linear, and it crosses the origin (0,0).

a: This graph can be represented as y=2, and that is not a direct variation.

b: Above explanation. This graph is a direct variation.

c: This graph can be represented as x=-8, and that is not a direct variation.

d: This graph has the slope, but it does not cross the origin, so it is not a direct variation.

Answer:

Graph b

Step-by-step explanation:

Direct variation means "y varies directly as x”:

Direct variation equation:

[tex]y=kx[/tex]

where k is the (non-zero) constant of variation.

Note, therefore, that a direct variation equation passes through the origin,  as when x = 0:  

[tex]\implies y=k(0) \implies y=0[/tex]

Graph a

y does not change as x varies.

Therefore this graph does not model a direct variation.

Graph b

As x gets bigger, so does y.  As x gets smaller, so does y.  

The line passes through the origin (0, 0).

Therefore this graph models a direct variation.

Graph c

x does not change as y varies.

Therefore this graph does not model a direct variation.

Graph d

As x gets bigger, so does y.  As x gets smaller, so does y.  

However, the line does not pass through the origin (0, 0).

Therefore this graph does not model a direct variation.

The equation of the parallel line is y = -5x - 1

The equation is given as:

5x + y = 4

Make y the subject

y = -5x + 4

The slope of the above equation is

m = -5

Parallel lines have equal slope.

This means that the slope of the new line is 5

The equation is then calculated as:

y = m(x - x1) + y1

So, we have:

y = -5(x + 1) + 4

Expand

y = -5x - 5 + 4

Evaluate

y = -5x - 1

Hence, the equation of the parallel line is y = -5x - 1

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The probability of the Bob arrived before 1.30 P.M is 1/2 if the Alice arrives after Bob.

According to the question,

Alice and Bob each arrive at a party at a random time between 1.00 P.M and 2.00 P.M.

In probability theory, the sample space(s) of a random trial is the set all possible results of that trial.

Let 'x' be the arrival time of Alice and 'y' be the arrival time of Bob.

s = {(x, y) /1≤x≤2 and 1≤y≤2}

In order to find the probability of the Bob arrived before 1.30 P.M, if the Alice arrives after Bob.

Formula for Probability = [tex]\frac{Number of favorable events}{Total number of events}[/tex]

= 1/2

Hence, the probability of the Bob arrived before 1.30 P.M is 1/2 if the Alice arrives after Bob.

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[tex]\tan 45^{\circ}=\frac{x}{2\sqrt{10}}\\\\1=\frac{x}{2\sqrt{10}}\\\\\boxed{x=2\sqrt{10}}\\\\\\\\\sin 45^{\circ}=\frac{2\sqrt{10}}{y}\\\\\frac{1}{\sqrt{2}}=\frac{2\sqrt{10}}{y}\\\\y=2\sqrt[20}\\\\\boxed{y=4\sqrt{5}}[/tex]

Answer:

first option

Step-by-step explanation:

Always remember to graph a diagram :)

The measurement of angle C in the given figure is 118°.

Given that are two lines intersecting at a point making 4 angles, 118°, C, D and B.

B and D are opposite to each other and C and 118° are opposite to each other.

We need to find the measurement of angle C.

To find the measurement of angle C, we can use the concept of vertical angles.

Vertical angles are a pair of non-adjacent angles formed when two lines intersect.

They are always congruent, meaning they have the same measure.

In this case, angle 118° and angle C are vertical angles. So, their measures are equal:

Angle C = 118°

Therefore, the measurement of angle C is 118°.

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Answer:

The correct answer choice is D

Answer:

8 minutes.

Step-by-step explanation:

We work in fractions of the wall they can paint in 1 minute, so

1/12 + 1/24 = 1/x  where x is the time it takes when working together.

Multiplying through by 24x:

2x + 1x = 24

3x = 24

x = 8 minutes.

A is proportional.

Lets simplify the problem,

← divide numerator/ denominator by 4

= 4/20= 1/5

Thus A form a proportion

≠ 1/5

Thus B is not a proportion

← divide numerator/ denominator by 4

=  2/5 ≠ 1/5

Thus C is not a proportion

5/1 ≠ 1/5

Thus D is not a proportion

A is proportional.

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On Monday: 35 mosquitos.

On Tuesday: 6 flies.

As you can notice in the diagram, the frog eats 3 flies for every 7 mosquitoes (for lunch). Then you can define this ratio as pursues:

3: 7 or 3/7.

Based on the table below:

If the frog swallows 15 flies on Monday, then the number of mosquitos that it eats can be estimated as pursues:

3/7 = 15/mosquitoes

mosquitoes [tex]$= \frac{15*7}{3}[/tex]

mosquitoes = 35

If the frog eats 14 mosquitoes on Tuesday, then the number of flies that it eats can be estimated as pursues:

3/7 = flies/14

flies [tex]$= \frac{14*3}{7}[/tex]

flies = 6

The complete question is:

A frog catches insects for his lunch. The frog likes to eat flies and mosquitoes in a certain ratio, which is shown in the diagram. The table shows the number of flies and the number of mosquitoes that the frog eats for two lunches.

Based on the ratio, complete the missing values in the table.

Day Flies Mosquitoes

Monday 151515

Tuesday

141414

Disregard Above

Use Picture

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Answer: [tex]y+6=-2(x-4)[/tex]

Step-by-step explanation:

See attached image.