The model shows the expression 20 + 16.
Which expression is equivalent to this sum?
4(5) + 4
O 4+5+4
4(5+4)
514+4)

Answer:

\(a_1 = 7 \\ a_n = - 2a_{n - 1} \\ a_2 = - 2a_1 = - 2(7) = - 14 \\ a_3 = - 2a_2 = - 2( - 14) = 28 \\ a_4 = - 2a_3 = - 2(28) = - 56 \\ a_5 = - 2a_4 = - 2( - 56) = 112\)

The value of a₅ on calculating  if, a₁ = 7, aₙ = -2aₙ₋₁ is 112.

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given:

a₁ = 7, aₙ = -2aₙ₋₁

Calculate the value of a₅ as shown below,

a₅ = -2a₅₋₁

a₅ = -2a₄

a₅ = -2 (-2a₄₋₁)

a₅ = 4a₃

a₅ = 4 (-2a₃₋₁)

a₅ = -8a₂

a₅ = -8 (-2a₂₋₁)

a₅ = 16 a₁

a₅ = 16 × 7

a₅ = 112

Thus, the value of a₅ is 112

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Answer:

C

Step-by-step explanation:

Based on the information provided, it can be determined that there are 120 steps visible on the escalator at any given time.

Assume that there are x total steps, e for the escalator speed, and b for Bob's pace.

Bob noticed 75 stairs and climbed the entire escalator in the time it took him to ascend it. As a result, the escalator must have added an extra x + 75 steps.

Let e and b be the speeds of the escalator and Bob, respectively.

Alice took 150 steps at a speed of (3b-e) step rate as she descended the stairs.

Bob took 75 steps at a speed of (b+e) each step as he ascended.

Since, Al and Bob were walking the same distance at a time , we have,

150(3b-e) = 75(b+e)  

Solving  these two equation we get ,  e/b = 3/5

Thus while Bob took 75 steps to go up, the escalator contributed an extra

3/5 * 75 = 45 steps

Finally, there is a total of 75+45=120 steps in the length of the escalator.

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Therefore ,we  reject H₀   Percentage of type A blood  donations differs from 40% (percentage of population having type A blood)

According to the scientific method, a theory cannot be regarded as scientific unless it has been tested. The majority of scientific hypotheses are based on observations from the past that cannot be adequately explained by the state of knowledge at the time.

Here,

We are going to develop a proportion test.

Information we have:

Proportion   P₀   =  40 %      P₀   =  0,4  (percentage of population having type A blood)

Sample size    n   =   150

Sample  mean   P  =  82/ 150      P  = 0,5466

As  P₀  =   0,4      Q₀  =  0,6     P₀*Q₀   =  0,24

1.-Test Hypothesis:

H₀    null hypothesis                            P₀   =   0.4

Hₐ   alternative hypothesis                 P₀   ≠   0.4

2.- signficance level

    a  )   α  =  0.01    we have a two tail-test      α/2    =   0.005  

    b  )   α  =  0.05                                               α/2    =   0.025

Then  from t-student table we get t(c)   n  = 150    df =  149

    a  )   α/2    =   0.005             t(c)    =  2.581

    b  )   α/2    =   0.025             t(c)    =  1.962

3.-Compute t(s)

t(s)   =   (  P  -  P₀ )  / √P₀Q₀/n  

Plugging  in known values  

t(s)   =[ ( 0.5466 -  0,4  )*√150 ] / √0.24

t(s)   = 0,1466 * 12.25 / 0.4899

t(s)   =  3.6657

Compare t(s)  and  t(c)

t(s)  >  t(c)       3.6657  >  2.581      

Then  t(s) is out of the acceptance region  we reject  H₀.

Simple inspection led us see that for

α/2    =   0.025             t(c)    =  1.962

The situation is the same

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1) True

2) If you consider that a+b can be equal to c, then, (a+b)^2 = c^2.

c^2 is in exponential form. Hence, the given statement is true.

3) (ab)^3 = a^3*b^3. The given statement is false.

4) Take into account that the number (-5)^10 is positive regardless the base is 5 or -5 (becasue the exponent is odd, then, the result is always positive). Then,

(-5)^10 can be written also as (5)^10 and the given statement is true.

5) By definition, a term written in the form x, y or a, has exponent 1. The statement is true.

Area of the other square is 7/20 cm²

Let side of the larger square be 'b' and side of the smaller square be 'a'.

Given the perimeter of the smaller square = 2 cm

⇒ 4a = 2

⇒ a = 2/4 = 1/2 cm

Given, ratio of the areas of squares = 5 : 7

⇒ area of smaller square/ area of larger square = 5 : 7

⇒ a²/b² = 5/7

⇒ (1/4)/b² = 5/7

⇒ b² = 7/(5×4) = 7/20

Therefore, area of the larger square = 7/20 cm²

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Answer:

down the middle of an object with vertical symmetry, the two sides  

will be mirror images of each other.

  Examples of capital letters that have vertical symmetry are:

    A H I M O T U V W X Y

Step-by-step explanation:

I believe the answers is it has a 30% chance to land on a letter with a vertical line of symmetry

Correct me if I'm wrong hope this helps plz mark brainliest

Answer:

x intercept is -7 and y intercept is 2

Step-by-step explanation:

Answer:

x intercept (-7,0)

y intercept (0,2)

Since more than 4 vans will be required in total, at least 4 vans should be reserved.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another. In mathematics, inequalities specify the relationship between two non-equal values. Equal does not imply inequality. The "not equal symbol ()" is typically used to indicate that two values are not equal. The expression 5x 4 > 2x + 3 resembles an equation, but the equals sign has been replaced by an arrowhead. It is an illustration of inequality. This shows that the left part, 5x 4, is bigger than the right part, 2x + 3.

Here,

Since the total number of people is at least 28, then the total number of people must be 28 or more, so

7v≥28

v≥4

The total number of vans needed will be more than 4 that is at least 4 vans should be booked.

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Answer:

y = 35x + 20

Step-by-step explanation:

See attached graph.

Answer:

C. To make predictions about the values of y for a given​ x-value (I THINK)

Answer:

she would be 9

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Let's denote the amount invested at 8% as x and the amount invested at 10% as y.

According to the given information, Karim wants to invest a total of $100,000, and the combined annual income from both investments should be $9,000.

Set up the equations based on the information:

The first equation represents the total amount invested:

x + y = 100,000

The second equation represents the total annual income from the investments:

0.08x + 0.1y = 9,000

Solve the equations:

We can use the substitution or elimination method to solve the system of equations. Let's use the elimination method:

Multiply the first equation by 0.08 to match the coefficients of x:

0.08x + 0.08y = 8,000

Now subtract this equation from the second equation to eliminate x:

(0.08x + 0.1y) - (0.08x + 0.08y) = 9,000 - 8,000

0.02y = 1,000

Divide both sides of the equation by 0.02:

y = 1,000 / 0.02

y = 50,000

Substitute the value of y back into the first equation to solve for x:

x + 50,000 = 100,000

x = 100,000 - 50,000

x = 50,000

Calculate the amounts to invest:

Karim should invest $50,000 at 8% and $50,000 at 10% in order to obtain an annual income of $9,000 from both investments.

Karim should invest $50,000 at 8% and $50,000 at 10% in order to obtain an annual income of $9,000 from his investments.

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Answer:

B

Step-by-step explanation:

650000 = 10⁵x 6.5

Answer:

The answer is b.

Step-by-step explanation:

Answer:

2 hours and 5 minutes

Step-by-step explanation:

50/40=1.25 km/m

100*1.25=125 minutes

125 minutes= 2.08 hours= 2 hours and 5 minutes

The mean will be the middle number or 12.1.

According to our question-

The median is the middle number  in the data set when the data set is written from least to greatest.

least to greatest 4.8, 6.9, 12.1, 14.8, 16.2

Hence, The mean will be the middle number or 12.1.

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If an employee has already measured out 59 pounds of wild rice. The  number of pounds of long grain brown rice should she add to make the blend is: 88.5 pounds of long grain.

Let x represent number of pounds of long grain

6.45×59+3.95x=(59+x)×4.95

380.55+3.95x =292.05+4.95x

380.55–x =292.05

-x=292.05-380.55

-x = -88.5

x = 88.5 pounds of long grain

OR

6.45×59+3.95x=(59+x)×4.95

x=(6.45-4.95)×59

x=1.5×59

x=88.5 pounds of long grain

Therefore If an employee has already measured out 59 pounds of wild rice. The  number of pounds of long grain brown rice should she add to make the blend is: 88.5 pounds of long grain.

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The following are the values of the missing sides using the trigonometric ratios of sine, cosine, and tangent:

m = 3√2

e = 3

a = 5√3

t = 5

s = 7

e = 7

p = 14

c = 7√3

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

recall that sin45° = √2/2, cos45° = √2/2, tan45 = 1, sin60° = √3/2, cos60° = 1/2, sin30° = 1/2, and cos30° = √3/2

sin45° = 3/m {opposite/hypotenuse}

m = 3/sin45°

m = 3 ÷ √2/2

m = 3√2

tan45° = 3/e {opposite/adjacent}

e = 3/tan45°

e = 3/1

e = 3

sin60° = a/10 {opposite/hypotenuse}

a = 10 × sin60°

a = 10 × √3/2

a = 5√3

cos60° = t/10 {adjacent/hypotenuse}

t = 10 × cos60°

t = 10 × 1/2

t = 5

sin45° = s/7√2

s = 7√2 × sin45°

s = 7√2 × √2/2

s = 7

cos45° = e/7√2

e = 7√2 × cos45°

e = 7√2 × √2/2

e = 7

sin30° = 7/p

p = 7/sin30°

p = 7/(1/2)

p = 14

cos 30° = c/14

c = 14 × cos30°

c = 14 × √3/2

c = 7√3/2

Therefore, the values of the missing sides using the trigonometric ratios of sine, cosine, and tangent are:

m = 3√2

e = 3

a = 5√3

t = 5

s = 7

e = 7

p = 14

c = 7√3

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Answer:

b) because it's in descending exponent order

Step-by-step explanation:

Answer:

B!

Step-by-step explanation:

When dealing with an equation you need to do the same thing to both sides. When you divide by two DIFFERENT numbers you are making an incorrect statement.

Answer:

какие?

Step-by-step explanation:

Answer:

-13/4, -3, 16/5, 5

Step-by-step explanation:

-13÷4= -3.25

-3=-3

16÷5=3.2

5=5

For -13/4, you can just take away the negative symbol and do 13÷4, then add it on for 3.25. That does not work for every problem like this though.

Please give brainliest if I helped! :)

If he puts away 10% of his $32,000 salary every year, The total of his 401(k) be in 10 years is: a. $67,266.16.

First step

Contribution=(10% ×$32,000)+ 50% from employer

Contribution=$3,200+ ($3,200×50%)

Contribution=$3,200+$1,600

Contribution=$4,800

Second step

Future value= 4800 (1 + 0.073)^10 – 1/ 0.073

Future value= 4800 (1 .073)^10 – 1/ 0.073

Future value= 4800 (2.0230062274104 – 1) / 0.073

Future value= 4800 (1.0230062274104) / 0.073

Future value=$4,910.42989157/0.073

Future value=$67,226.16

Therefore the total of his 401(k) be in 10 years is: a. $67,266.16.

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Answer:a. $67,266.16.

Step-by-step explanation:edge

Step-by-step explanation:

Let the midpoint formula be expressed as;

M(X,Y) = {x2+x1/2, y2+y1/2}

X = x2+x1/2

Y = y2+y1/2

Get x2

-3 = x2 + 1/2

-6 = x2 + 1

x2 = -6-1

x2 = -7

Get y2;

Y = y2+y1/2

8 = y2+6/2

16 = y2+6

Y2 = 16-6

y2 = 10

hence the coordinate of B is (-7, 10). Option A is correct

Answer:

This time, ratio is 4:1 for you and 24:5 for your friend

Step-by-step explanation:

For You: Using the same method, join (4,1) and (8,2) with a line and extend it
For your friend: Take (24,5) and (48,10), extend line joining them
Done!

Edit: I took the time variable for the y axis, here's the right graph

Answer: in the graph.

Step-by-step explanation:

When you look at the graph you see time is the x axis and cubes are on the y axis. So your first point is (2, 8) for two hours:8 cubes. From zero, go right 2 and up 8 and place your point. From there go right 2 and up another 8 for your 2nd point. Draw your line. For your second line, 5 hours: 24 cubes, so your first point is right 5 and up 24, place your dot. From there, go right 5 and up 24, draw your dot. Now draw your second line. Graph attached.

Answer:

Mrs. Sigmon

Step-by-step explanation:

Mrs. Sigmon 480/3= 150 seconds/lap

Mrs. Huss  500/4= 125 seconds/lap

Mrs. Leatherman 230/2 =115 seconds/lap

Answer:

well we dont know other vegis are going for each pound is 2.26 but any vegtable thats is going 2.26 per pound works  

Step-by-step explanation:

The inequality that can be used to calculate how many outfits Bashir  can buy for the price he can afford is.

Since the French Revolution, when proponents of  on the left side of the first Assemblée , inequality has been the defining subject of the left-right political spectrum. Leftists have consistently contended that capitalism has a propensity to produce economic inequality, which can be countered by group social and democratic political action.

The right has argued that inequalities are just the result of normal distinctions between people or social groupings and shouldn't be interfered with.

There is evidence that societies with compressed social hierarchies tend to be healthier. In fact, it has been demonstrated that a variety of social disorders, including violent crime, are associated with sharp socioeconomic gradients.

Hence, The inequality that can be used to calculate how many outfits Bashir  can buy for the price he can afford is.

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