I need a written answer for all three questions please.

Answer:

10, 14, 18

Step-by-step explanation:

We know that the nth term is '4n+6', so we just have to plug in whichever number we want for n, where n is the nth term in the sequence. The first term would be 4 * 1 + 6 = 10, the second term would be 4 * 2 + 6 = 14, and finally the third term would be 4 * 3 + 6 = 18. Therefore, your answer should be 10, 14, 18.

The correct answer is option A which is  Observational study.

This is an example of an observational study because the biologist is not interfering or interacting with the subjects of the study but just watching and registering data (recording with cameras).

The biologist is not conducting an experiment because (he is not setting up special conditions to register different responses to drive conclusions), and the biologist is not making any survey (questionnaires for example).

Therefore the correct answer is option A which is  Observational study.

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Congruent triangles are exact copies of each other. The correct options are 1, 2, 3, and 4.

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes the length of line segment AB, and so on for others).

The following details about the two given congruent triangles TUV and WXY can be written,

[tex]\rm m\angle T = m\angle W \: or \: \: \angle T \cong \angle W\\\\\rm m\angle U = m\angle X\: or \: \: \angle U \cong \angle X \\\\\rm m\angle V = m\angle Y \: or \: \: \angle V \cong \angle Y \\\\\rm |TU| = |WX| \: \: or \: \: TU \cong WX\\\\\rm |VU| = |YX| \: \: or \: \: VU \cong VU\\\\\rm |TV| = |WY| \: \: or \: \: TV \cong TV[/tex]

Hence, the correct options are 1, 2, 3, and 4.

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Answer: A,,B, C, D

Step-by-step explanation:

Answer: C. Parabola

Definition: a parabola is a conic section in which it is mostly characterised of having a U-shape wherein it is symmetrical and an open plane curve.

Answer:

800 is the answerrrr....

Answer:

#1 (4b + 6a) #2  150y

Step-by-step explanation:

#1 :area of right triangle: ab/2

4x2/2 = 4b

area of rectangle: length x width

2 x 3 = 6a

#2:

5y + 2.5y = 7.5y x 2 = 15y

so the top and bottom are both 15 y

the sides are each 5y so thats 10 y

15x10= 150y

Answer:

There are no "following values" in the problem.

Step-by-step explanation:

ƒ(x) = -2x + 3

For any value of X, enter that number in the equation and calculate f(x) [y].

For example, if x is 2:  

ƒ(x) = -2x + 3

ƒ(2) = -2(2) + 3

y =  -2(2) + 3

y = -4+3

y = -1

The ordered pair for when x=2 would be (2,-1)

Answer:

y = 1.5x + 1

Step-by-step explanation:

→ Choose 2 points

( 2 , 4 ) ( -2 , -2 )

→ Find the gradient

-6 ÷ -4 = 1.5

→ Write into format

y = 1.5x + c

→ Substitute in ( 2 , 4 )

4 = 3 + c

→ Minus 3 from both sides

1 = c

y = 1.5x + 1

rate of change is change in y / change in x

(-1 - -3)/ (0 - -6) = 2/6 = 1/3

initial value is the y value when x is 0 , which is -1

Answer:

5x(2x - 1)

Step-by-step explanation:

Factor 10x^2 - 5x:

Then:  10x^2 - 5x = 5x(2x - 1), since 5x is common to the two given terms

Answer:

[tex]10x^{2} -5x[/tex] in factored form would be [tex]5x(2x-1)[/tex]

Step-by-step explanation:

If we look at all of the terms in this binomial, we can see that they both have 5x in common.  We can now factor 5x out of the equation to get our answer.

To do this, we must divide both terms by 5x.

[tex]10x^2[/tex] divided by [tex]5x[/tex] is [tex]2x[/tex], and [tex]-5x[/tex] divided by [tex]5x[/tex] is [tex]-1[/tex].

So, our final answer is [tex]5x(2x-1)[/tex].

1) Angles IDO and ILO are congruent, and both measure 122 degrees. So, as angles in a quadrilateral add to 360°, angle LOD measures 360-122-122-32=84°

2) As referred to in the first question, angle ODI measures 122°

3) In a kite, there are two pairs of disjoint congruent sides. This means that in this case, ID=IL=21 and LO=OD. As the perimeter is 74, this means LO=(74-21(2))/2=16

4) LI=ID, so ID=21

Answer:

35, 31, 25, 18

Step-by-step explanation:

10 x 7/2 = 35

10 + 7 + 14 = 31

8 1/3 x 6/2 = 25

4 1/3 + 5 1/3 + 8 1/3 = 18

Answer:

Step-by-step explanation:

Solution

The general equation for this kind of problem is

y = k x

30 = k * 6                Divide both sides by 6

30/6 = 6k/6             Combine

5 = k

So the connection between x and y is that to get a value for y, you must divide it by 6.

Step-by-step explanation:

sorry but I dont know

Answer: 654 grams

Step-by-step explanation:

that's the answer it gave it when I got it wrong.

When the callable bond is 75 basis points using on-the-run treasuries as benchmark rates,it implies that the nominal speed is 75bp over the treasury benchmark rates.

It should be noted that a callable bond is the debt instrument whee the issuer has the right to return the principal of the investor.

Callable bonds are also known as redeemable bonds and they're paid off before the maturity date of the bond by the issuer.

It gives room for companies to pay off their debt early and then get benefit regarding favorable interests.

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Answer:

1 and -2 (has a multiplicity of 2)

Step-by-step explanation:

so since x=-2 is a root then (x+2) is a factor of the polynomial. This means you can divide the polynomial by (x+2) by using synthetic or long division. So for this example I'll using synthetic division which is much more simple than long division

-2 | 1   3    0   -4

         -2   -2    4

     1    1    -2   0

(x+2)(x²+x-2)

Now you can factor the quadratic into

(x+2)(x-1)

x+2 = 0

x = - 2

x-1 =0

x = 1

The remainder of the polynomial equation is -49

The remainder of a quantity in an algebraic expression of a polynomial equation is the remaining amount of the quantity left and can not be divisible by the divisor.

From the given information, we are to find the remainder of the given algebraic equation:

[tex]\mathbf{= \dfrac{5x^3+7x+5}{x+2} }[/tex]

Using the long division method, we have:

[tex]\mathbf{= \dfrac{5x^3+7x+5}{x+2} } \implies \mathbf{5x^2 + \dfrac{-10x^2+7x+5}{x+2}}[/tex]

Divide by [tex]\mathbf{ \dfrac{-10x^2+7x+5}{x+2}}[/tex], we have:

[tex]\mathbf{= 5x^2- 10x+ \dfrac{27x+5}{x+2}}[/tex]

Divide by [tex]\mathbf{\dfrac{27x+5}{x+2}}[/tex], we have:

[tex]\mathbf{= 5x^2- 10x+ 27 +\dfrac{-49}{x+2}}[/tex]

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Answer:

The third option: y=4x-2

Step-by-step explanation:

Slope-intercept form formula is: y=mx+b

First option is not correct because it has a number before the y value.

Second option is not correct because x is on the left of the equal side instead of the right.

Third option is correct.

Fourth option is not correct because it is written in standard form.

Hope this helps!

If not, I am sorry.

The graph first represents the provided piecewise function option first is correct.

The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.

We have a piecewise function shown in the picture.

[tex]\rm y=\left\{x\le-2:\sqrt{-x-2}\right\}[/tex]

[tex]\rm y=\left\{-2 < x < 1:\dfrac{x}{x^{2}+x-2}\right\}[/tex]

[tex]\rm y=\left\{x\ge1:\log_{2}\left(x+1\right)\right\}[/tex]

After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.

Thus, the graph first represents the provided piecewise function option first is correct.

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Answer:

This point is not on the line, NOT TRUE

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

           b represents the y-intercept

where the format of a point is (x, y)

Given: y = 1/4x + 5, (−1, 6)

we can plug in the point (−1, 6)

6 = 1/4(-1) + 5

6 = -1/4 + 5

6 = 4.75

6 does not equal 4.75 so this point is not on the line

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You work for a lending institution and are tasked with whether or not to approve a home loan, its  Somewhat likely; that recurring debt is very close to what is allowed. Option B.

Generally,  any payment that is utilized to repay debt obligations that occur on a continuous basis is said to be recurrent debt.

In conclusion, Recurring debt consists of payments that cannot be readily canceled at the request of the payer. Examples of this kind of debt include alimony, child support, and loan installments.

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Answer:

its B

Step-by-step explanation:

The trigonometric relation is solved and the length of side DE is given by the relation DE = 3.8 ( tan 40° )

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔEFD

Now , the measure of side EF = 5 units

The measure of side DF = 3.8 units

And , from the trigonometric relations , we get

tan θ = opposite / adjacent

On simplifying , we get

tan 40° = DE / DF

Multiply by DF on both sides , we get

DE = 3.8 ( tan 40° )

Hence , the trigonometric relation is solved

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Answer:

4.4

Step by step explanation: If Rafael gave the cashier 40, cashier will return 4.4 by subtracting 35.60 from 40

Answer:

See attached image

Step-by-step explanation:

Answer:

Draw a line from one point A to B into the XY line in a angle

Draw a line parallel to the lines

Point a dot in the middle and name it O

Step-by-step explanation:

Hope it helps

Answer:

20/7

Step-by-step explanation:

5×4/7

numerator5×numerator4=20

denominator 7×denominator1=hence,answer is

20/7

Answer:

the answer is 4 units im pretty sure

Step-by-step explanation:

The height of the prism is 6 units.

The correct option is C.

A prism is a polyhedron in three dimensions with two identical ends.

To find the height of the prism, we need to use the formula for the volume of a prism, which is:

Volume = Base area x Height

Since the prism has two congruent hexagonal bases, we can find the base area by adding the areas of the two congruent isosceles trapezoids.

The area of an isosceles trapezoid is given by the formula:

Area = ((b1 + b2) / 2) x h

where b1 and b2 are the lengths of the two parallel bases, and h is the height of the trapezoid.

In this case, the two parallel bases have lengths of 5 and 8, and the height of each trapezoid is 3, so the area of one trapezoid is:

Area = ((5 + 8) / 2) x 3 = 19.5 square units

The base area of the prism is then:

Base area = 2 x 19.5 = 39 square units

We are given that the volume of the prism is 234 cubic units, so we can use the formula for the volume of a prism to find the height:

Volume = Base area x Height

234 = 39 x Height

Height = 6 units

Therefore, the height of the prism is 6 units.

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Answer:

Step-by-step explanation:

Solution

This (after combining the top 2 fractions, is a 4 tier fraction.

1/4*3/4 = 3/16

So the question now becomes 3/16 ÷ 10/3

The rule for such a question is invert (turn up side down) the second fraction and multiply.

3/16 * 3/10                   Combine

(3*3)/(16* 10)          

9 / 160

0.05625

[tex]\bf{\dfrac{1}{4}\times\dfrac{3}{4}\div\dfrac{10}{3} }[/tex]

Multiply 1/4 by 3/4 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

[tex]\bf{\dfrac{1\times3}{4\times4}\div\dfrac{10}{3} \ \ \to \ \ \ Multiply.}[/tex]

Do the multiplications in the fraction 1 × 3 / 4 × 4.

[tex]\bf{\dfrac{3}{16}\div\dfrac{10}{3} }[/tex]

Divide 3/16 by 10/3 by multiplying 3/16 by the reciprocal of 10/3.

[tex]\bf{\dfrac{3}{16}\times\left(\dfrac{3}{10}\right) }[/tex]

Multiply 3/16 by 3/10 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

[tex]\bf{\dfrac{3\times3}{16\times10 } \ \ \to \ \ \ Multiply }[/tex]

Do the multiplications in the fraction 3 × 3 / 16 × 10

[tex]\bf{\dfrac{9}{160} \ \ \to \ \ Answer }[/tex]

[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

1) The normal room temperature is said to be about 20°C

2) 5 day is equivalent to 120 hr

3) 756 m³/s is equivalent 56000 L/s

4) It would take the snail 5 hours to crawl 75 m

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

1) The normal room temperature is said to be about 20°C

2) 1 day = 24 hr

5 day = 5 day * 24 hr per day = 120 hr

3) 1 m³ = 1000 L

756 m³/s = 56 m³/s * 1000 L/m³ = 56000 L/s

4) 1 m = 100 cm

75 m = 7500 cm

Time = 7500 / (25 cm/min) = 300 min = 5 hours

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