How is this wrong? Reflect shape A in the x-axis.

Answer:

I agree with your answer C!!

Step-by-step explanation:

Answer:

Sushil got 15 sweets

Step-by-step explanation:

we can use law of indices property as shown below

a:b:c = ax:bx:cx

that if we multiply each term of ratio by same number , the ratio does not change

____________________________

given

Malachy, Sushil and Fiona share some sweets in the ratio 1:3:1.

let

Malachy gets 1x sweets

sushil gets 3x sweets

Fiona gets 1x sweets

but given that

Malachy got 5 sweets

thus

1x = 5

x = 5

Sushil got 3x sweets = 3*5 = 15 sweets.

Sushil got 15 sweets.

Answer:

17/24

Step-by-step explanation:

This expression simplifies to the following:

-7     15        1          1

---- * -----  -  -----  +  -----

18     -7        4          8

Reducing the product, we get

  15        1

-------- - -----

  18        8

and this simplifies further:

 5       1

----- - -----

 6       8

The LCD is 24.  Thus, we have:

20      3         17

------ - -----  =  -----

24      24       24

*The dot plot is shown in the attachment below

Answer:

2

Step-by-step explanation:

Interquartile range is the difference between the upper median (Q3) and the lower median (Q1).

First, let's write out each value given in the data. Each dot represents a data point.

We have:

2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7

=>Find the median:

Our median is the middle value. The middle value is the 6th value = 4

==>Upper median Q3) = the middle value of the set of data we have from the median to our far right.

2, 3, 3, 4, 4, |4,| 4, 5, [5], 6, 7

Our upper median = 5

==>Lower median(Q1) = the middle value of the data set we have from our median to our far left.

2, 3, [3], 4, 4, |4,| 4, 5, 5, 6, 7

Lower median = 3

==>Interquartile range = Q3 - Q1 = 5-3 = 2

Answer:

2

Step-by-step explanation:

In the graph the line shifted down by 3 units, so k=3. Therefore, option B is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

From the given graph,

The coordinates of line red are (0, 5) and (3, 6)

Here, slope (m) = (6-5)/(3-0)

= 1/3

Substitute m=1/3 and (x, y)=(0, 5) in y=mx+c, we get

5=1/3 (0)+c

c=1/3

Now, g(x)=1/3 x

The coordinates of line blue are (0, 2) and (3, 4)

Here, slope (m) = (4-2)/(3-0)

= 2/3

Substitute m=2/3 and (x, y)=(0, 2) in y=mx+c, we get

2=2/3 (0)+c

c=0

So, f(x)=2/3 x

From the graph the line shifted down by 3 units

Therefore, option B is the correct answer.

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Answer:

This is False.

Step-by-step explanation:

I hope this helped you! :)

Answer: false

Step-by-step explanation:

Answer:

5√17=

20.6

Step-by-step explanation:

[tex]adj \: = 5 \\ opp \: = 20 \\ hyp \: = \: \\ pythagoras \: theorem \: \: = \\ {hyp}^{2} = {opp}^{2} + {adj}^{2} [/tex]

[tex] {hyp \:}^{2} = {20}^{2} + {5}^{2} \\ {hyp }^{2} = 400 + 25 \\ {hyp}^{2} = 425 \\ \sqrt{ {hyp}^{2} } = \sqrt{425} [/tex]

[tex]hypotenuse \: = 5 \sqrt{17} [/tex]

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the tree is 20.6257 feet.

The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

The digram for the given condition is given below. Now, in ΔABC, the tangent value for ∠A can be written as,

tan(38°) = BC/AB

tan(38°) = 5 feet / AB

AB = 6.3997 feet

Now, in ΔABC and ΔADE for ∠A the value of the tangent can be written as,

tan(38°) = BC/AB = ED/AD

5/6.3997 = ED/(20 + 6.3997)

ED = 20.6257 feet

Hence, the height of the tree is 20.6257 feet.

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Answer:

This is equation 1.

Step-by-step explanation:

Step 1: Write a quadratic equation in standard form choosing your own coefficients and constant.

Conditons that need to be satisfied: B can be 0 in only one question, parabola should open up and have a negative y intercept.

1. The parabola should open upwards: a> 0

2. [tex]3x^2+7x-6[/tex] (a>0), y-int is negative (0s for x's)

                     3(0)^2 + 7(0) -6

                                   y= -6

Step 2:

1. Factor the original equation: (3x-2)(x+3)

x=2/3, -3

2. Strategy used (factor by grouping)

Answer:

ΔAKL is congruent to ΔBML by the Side Angle Side rule of congruency and ΔALB is isosceles as two of its sides [tex]\overline {AL}[/tex] and [tex]\overline {BL}[/tex] are congruent

Step-by-step explanation:

The given parameters are;

The given triangle ΔKLM has sides [tex]\overline {KL}[/tex] ≅ [tex]\overline {LM}[/tex],   Given

ΔKLM is isosceles Δ (two equal segments),         Definition of isosceles Δ

∠LKM ≅ ∠LMK,                                                       Base ∠s of isosceles Δ are ≅

Point A is on segment [tex]\overline {KM}[/tex],                                  Given    

Point B is also on segment [tex]\overline {KM}[/tex],                          Given

Segment [tex]\overline {AK}[/tex] ≅ segment [tex]\overline {BM}[/tex],                              Given

ΔAKL ≅ ΔBML,                                                       SAS rule of congruency

Segment [tex]\overline {AL}[/tex] ≅ segment [tex]\overline {BL}[/tex],                                CPCTC

ΔALB is isosceles (two equal segments),            Definition of isosceles Δ

Where:

SAS = Side Angle Side

CPCTC = Congruent parts of congruent triangles are congruent.

Answer:

m∠AKL=m∠BML | Base Angle Theorem (Base ∠ TH.)

Step-by-step explanation:

KL=LM | Given

A ∈ KM | Given

B ∈ KM | Given

AK=BM | Given

m∠AKL=m∠BML | Base ∠ TH.

Answer:

0.4 ; 0.8

Step-by-step explanation:

Given that :

y varies jointly as x and z and inversely as the square of w

y ∝ xz ∝ 1/w^2

y = kxz/w^2 - - - - (1)

Given that y =3 when x=3, z=10, w=2

Inputting the values into (1)

3 = (k*3*10) / 2^2

3 = 30 × k / 4

k × 30 = 3 × 4

k × 30 = 12

k = 12/30

k = 0.4

B.) Given that ;

y=4 when x=4 z=20 w=4

Input values into (1)

y = kxz/w^2

4 = ( k * 4 * 20) / 4^2

4 = (k * 80) / 16

k * 80 = 16 * 4

k * 80 = 64

k = 64 / 80

k = 0.8

Answer:

False

Step-by-step explanation:

Took the test and got it wrong

Answer:

[tex]\left(x^2+3i\right)\left(x^2-3i\right)[/tex]

Step-by-step explanation:

[tex]x^4+9[/tex]

[tex]x^4+9[/tex] can be written as [tex]x^4--9[/tex].

Apply the formula for the difference of two squares.

[tex](a^2-b^2)=(a+b)(a-b)[/tex]

[tex]-9=3i^2[/tex]

[tex]x^4=(x^2)^2[/tex]

[tex](x^2)^2-(3i)^2=(x^2+3i)(x^2-3i)[/tex]

Answer:

(x^2 - 3i) ( x^2 +3i)

Step-by-step explanation:

X^4+9

x^4 - -9

This is the difference of squares (a^2 - b^2) = (a-b)(a+b)

(x^2) ^2 - ( 3i)^2

(x^2 - 3i) ( x^2 +3i)

Answer:35 square

Step-by-step explanation:

Answer:

william's age=x-5, mrs boiler=3 (x-5), mr boiler=4+3 (x-5) the sum=7x-31

Answer:

1 and 3; 1 and 4; 2 and 3; 2 and 4

Step-by-step explanation:

Adjacent angles are those with a common side and common vertex (corner point). Of your choices, the ones provided above are the ones that meet the needs of adjacent angles.

Answer:

I just answered this question lol but the answer is 2^0*3^0*7^47=329. Hope this helps!!

Step-by-step explanation:

at a map scale of 1:1500, 12 centimeters on the map is equivalent to 1.8 kilometers on the ground.

step-by-step

since the scale is 1 to 15,000 you simply multiply it by the 12 cm

12cm × 15,000 = 180,000

but you still have to convert it to kilometers (the measurement on the ground).

to go from centimeters to kilometers move the decimal 5 place values to the left.

final answer

1.8 kilometers

Answer:

6

Step-by-step explanation:

6 is the answer

? =6

Answer:

6

Step-by-step explanation:

1. 17 * 10 = 170

2. 17 * 4 = 68

3. 170 - 68 = 102

4. 102 / 17 = 6

Answer:

see explanation

Step-by-step explanation:

(a)

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 8 when x = 10. then

8 = 10k ( divide both sides by 10 )

0.8 = k

y = 0.8k ← equation of proportion

(b)

when x = 25, then

y = 0.8 × 25 = 20

(c)

when y = 25, then

25 = 0.8x ( divide both sides by 0.8 )

x = 31.25

Answer:

39.936 ( not rounded )

Step-by-step explanation:

Use Pythagorean theorem

a^2 + 6.4^2 = 9^2

height = 6.24 (rounded to nearest hundredth)

1/2 * base * height = area

1/2 * 12.8 * 6.24

= 39.936 ( not rounded )

Answer:

The perimeter of the shape is (7x²+10x+81) inches.

Step-by-step explanation:

When finding the perimeter of a shape, you have to add up all the side lengths :

[tex]p = 31 + (4 {x}^{2} + 8x) + (3 {x}^{2} - 5x + 20) + (7x + 30)[/tex]

[tex]p = 31 + 4 {x}^{2} + 8x + 3 {x}^{2} - 5x + 20 + 7x + 30 [/tex]

[tex]p =( 7 {x}^{2} + 10x + 81) \: inches[/tex]

Answer:

9x9

Step-by-step explanation:

Divide 108/12

108/12=9

you have a 9x9 photo

hope this helps!

Answer:

A.9x – 13.2

Step-by-step explanation:

2*(3.5x-7+x+0.4)=2*(4.5x-6.6)=9x-13.2

Answer:

It is A

Step-by-step explanation:

Answer:

180 meters

Step-by-step explanation:

Distance from the balloon to the boat = 108 meters

Distance from the boat to the shore = 144 meters

Since the boat is directly below the balloon, the problem forms a right triangle in which the distance from the balloon to shore is the hypotenuse.

Let the length of the hypotenuse = l

Using Pythagoras Theorem

[tex]l^2=108^2+144^2\\l^2=11664+20736\\l^2=32400\\l=\sqrt{32400} \\l=180$ meters[/tex]

The distance from Fossett's balloon to the shore is 180 meters.

Fossett's balloon is 180m from the shore

data;

To solve this problem we can assume this is situation forms a right angle triangle and we can solve this using pythagoras theorem.

[tex]x^2 = y^2 + z^2\\[/tex]

Let's substitute the values and solve

[tex]x^2 = y^2 + z^2\\x^2 = 108^2 + 144^2\\x^2 = 32400\\x = \sqrt{32400} \\x = 180m[/tex]

Fossett's balloon is 180m from the shore

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Answer:

the correct option is A

Step-by-step explanation:

hope this helps

Using the standard normal distribution table, the probability of having a Zscore less than 0.97 would be 0.8340

To obtain the probability z P(Z < 0.97) ; we use a standard normal distribution table or a Z probability calculator ;

Using a normal distribution table :

Therefore, the most appropriate option is 0.8340

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Answer:

x<-8

Step-by-step explanation:

x+6<-2

subract 6 from both sides

x+6-6<-2-6

x<-8

Answer:

Step-by-step explanation:

To evaluate the derivative of this function you need the chain rule. The pattern I teach to my calculus students is to find

u =

u' =

f(u) =

f'(u) =

First pick your "u". u will be the inner function, the one inside the parenthesis.

u' will then be the derivative of u.

f(u) is the function in terms of u, and

f'(u) is the derivative of the function in terms of u.

The derivative then, finally, will be u' * f'(u). Let's begin.

Our u, or the part of the function inside the parenthesis is 3 - 2x; hence,

u = 3 - 2x

The derivative, u', then is

u' = -2

f(u) is the function in terms of u, so

f(u) = [tex]u^{-\frac{1}{2}[/tex] and the derivative in terms of u is

f'(u) = [tex]-\frac{1}{2}u^{-\frac{3}{2}[/tex]

u' * f'(u) then is

[tex]-\frac{1}{2}u^{-\frac{3}{2}*(-2)[/tex] Simplify that by subbing back in for u and multiplying -2 by -1/2 to get

[tex]y'=(3-2x)^{-\frac{3}{2}[/tex]

Answer:

Yes.

Base: 4

Step-by-step explanation:

Since we have 4 to the power of x, we do indeed have an exponent. The -2 just signifies vertical movement down.

Answer:

7 < x < 34

Step-by-step explanation:

The answer must be greater than 7, else the two sides are less than or equal to the third. That triangle is impossible. The answer must also be less than 34, because then the two other sides would equal the third, making an impossible triangle.

Answer:

7 < x < 34

it just is