|Large{\frac {x}{x + 3} = \frac {5}{2}}

Answer:

C. Scarlett shaded the multiples instead of the factors of 15

Step-by-step explanation:

Scarlett tried to shade all the factors of 15 on the hundred chart 15,45,75,30,60,90 What mistake did she make

She shaded 15,45,75,30,60,90 on the chart

Factors of 15 are 1, 3, 5 and 15

15, 45, 75, 30, 60, 90 are multiples of 15

That is,

15 × 1 = 15

15 × 3 = 45

15 × 5 = 75

15 × 2 = 30

15 × 4 = 60

15 × 6 = 90

Therefore Scarlett's mistake is:

C. Scarlett shaded the multiples instead of the factors of 15

Step-by-step explanation:

Hey there!

From the given figure;

Measure of angle V + measure of angle W = measure of angle VUF {exterior angle is equal to the sum of opposite interior angles}

Therefore, angle VUF= 94°.

Hope it helps!

Answer:

<V + <W = < VUF

94 = < VUF

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

<V + <W = < VUF

71+ 23 = < VUF

94 = < VUF

Answer: c = 72

Step-by-step explanation:

You didn't tell us which segment has a length of c, but I'm assuming you meant WX because it corresponds to PA. If two figures are similar, we know that their side length are in proportion. With this, we can set up our proportion[tex]\frac{18}{24} =\frac{c}{96}[/tex] where c is the length of WX. By cross multiplying and dividing, you get  72 for the value of c.

Answer:

Solution given:

[tex]\bold{4*3^{x+1}-9^{x}=27}[/tex]

let 3^xbe a

4*a*3-a²=27

a²-12a+27=0

a²-9a-3a+27=0

a(a-9)-3(a-9)=0

(a-9)(a-3)=0

either

a=9

3^x=3²

:.x=2

or

a=3

3^x=3^1

x=1

x=2,1

Answer:

Equation: y=45x+1000

A. $45

B. 1,000

C. y=45x+1000-->Independent=1,000-->Dependent=45

D. y=45(20)+1,000=1,900

E. 30 weeks

Step-by-step explanation:

To solve step "E", you must set up an equation.

Specifically--> 45x+1,000=2350, then solve

45x=1350

x=30

Answer:

0.3927 m²

Step-by-step explanation:

Since a post is open at both ends, then it means it has no top nor bottom and as such the surface area is;

S.A = 2πrh

Where;

r is radius

h is height

We are given;

diameter; d = 50mm = 0.05 m

We know that; radius = diameter/2 = 0.05/2 = 0.025 m

Height; h = 2.5 m

Thus;

S.A = 2 × π × 0.025 × 2.5

S.A = 0.3927 m²

Answer:

B

Step-by-step explanation:

The central angle is twice the angle on the circumference, subtended on the same arc, then

a = 0.5 × 110° = 55° → B

the required measure of angle b inscribed in the circle is 125.

A figure is shown, in which a measure of b is to be determined.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²,

where h, k is the coordinate of the circle's center on a coordinate plane, and r is the circle's radius.

Since, As shown in the figure

the angle subtended by an arc on center is twice the angle subtended by the same are to the point of circumference corresponding point on the circle.

Angle b ,
2b = 360 - 110
2b = 250
b = 250/2
b = 125

Thus, the required measure of angle b inscribed in the circle is 125.

Learn more about circle here:

brainly.com/question/11833983

#SPJ5

Answer:

We can define the algebraic transformations used here as:

Horizontal translation.

For a general point (x, y), a horizontal translation of N units is written as:

(x + N, y)

if N < 0, the translation is to the left

if N > 0, the translation is to the right.

Vertical translation:

For a general point (x, y), a vertical translation of N units is written as:

(x , y + N)

If N < 0, the translation is downwards

if N > 0, the translation is upwards.

Vertical dilation:

For a point (x, y), a vertical dilation of scale factor k is given by:

(y, k*y)

Horizontal dilation:

A dilation of scale factor k is written as:

(x/k, y)

Here we go from:

(x, y) to (3x - 4, (1/5)*y - 2)

So we have:

An horizontal dilation of scale factor 1/3 followed of a horizontal translation of 4 units.

And a vertical dilation of scale factor (1/5) followed by a translation downwards of 2 units.

Answer:

11

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[6 - (-5)]² + (6 - 6)²

√(11)² + (0)²

√121

= 11

Answer:

(-1.25, 0) or (-5/4, 0)

Step-by-step explanation:

The x-intercept is when y = 0, so let's plug 0 into the equation:

3(0) - 8x = 10

Now we use basic algebra to solve for x:

0 - 8x = 10

-8x = 10

x = -5/4 or -1.25

So the answer is (-1.25, 0) or (-5/4, 0).

Hope this helps (●'◡'●)

Answer:

YES by SAS

triangle TUV is similar to triangle TLM

Step-by-step explanation:

The ratios of the sides

24/6 = 4

36/9 = 4

so the sides are similar

We know angle UTV = angle LTM because they are vertical angles

we have side included angle side

The triangles are similar by SAS  ( side angle side)

triangle TUV is similar to triangle TLM

Answer:

5

Step-by-step explanation:

(4/7)/(?/-6)=(-24/35)

(4/7)×(-6/?)=(-24/35)

(4×-6)/(?×7)=(-24/35)

-24/(?×7)=(-24/35)

-->7×?=35

-->?=35÷7

-->?=5

Answer:

10m-5t

Step-by-step explanation:

3(4m-3t) - 2(m-2t)

(12m - 9t) + (-2m+4t)

12m-2m - 9t+4t

10m-5t

Answer:

Step-by-step explanation:

3(4m - 3t) = 12m - 9t    

-2(m - 2t) = -2m + 4t

Write the 2 terms together.

12m - 9t -2m + 4x

12m - 2m - 9t + 4t

10m - 5t

Answer:

$43,799.50

Step-by-step explanation:

USing the formula:

A = P(1+r)ⁿ

n is the time = 5

1 + r = 1.04

P = 36,000

Substitute the values into the formula

A = 36000(1.04)⁵

A = 36,000(1.2166529024)

A = 43,799.50

Hence the value in the fifth year will e $43,799.50

Answer:

The x intercept is (-7.5,0) and the y-intercept is (0,5.5)

[tex] \\ \tt \longmapsto 2 \frac{1}{3} \div 4\frac{1}{3} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{3} \div \frac{13}{3} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{3} \times \frac{3}{13} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{13} = \frac{7}{x} \\ \\ \tt \longmapsto 7x = 7 \times 13 \\ \\ \tt \longmapsto 7x = 91 \\ \\ \tt \longmapsto x = \frac{91}{7} \\ \\ \tt \longmapsto x = 13[/tex]

Answer:

[tex]x = 13[/tex]

Step-by-step explanation:

[tex] \frac{2 \frac{1}{3} }{4 \frac{1}{3} } = \frac{7}{x} \\ \frac{7}{3} \div \frac{13}{3} = \frac{7}{x} \\ \frac{7}{ 3} \times \frac{3}{13} = \frac{7}{x} \\ \frac{7}{13} = \frac{7}{x} \\ 7x = 13 \times 7 \\ x = \frac{13 \times 7}{7} \\ x = 13[/tex]

Answer:

D) 80°

Step-by-step explanation:

(n - 2)180 = 4(180) = 720

78 + 134 + 136 + 132 + 2x + x = 720

3x + 480 = 720

3x = 240

x = 80

Answer:

The answer is D:80 degrees.

Step-by-step explanation:

Answer:

y = x + 6

x = 1

y = ¼(x - 5) + 3

Step-by-step explanation:

Vetices are;

A(1,5), B(5,3) and C(-3, -2)

Thus;

Median of AB is; D = (1 + 5)/2, (5 + 3)/2

D = (3, 4)

Median of BC is; E = (5 + (-3))/2, (3 + (-2))/2

E = (1, 0.5)

Median of AC is; F ; (-3 + 1)/2, (-2 + 5)/2

F = (-1, 1.5)

Thus, the median lines will be;

CD, AE & BF.

Thus;

Equation of CD is;

(y - (-3))/(x - (-2)) = (-2 - 4))/(-3 - 3)

(y + 4)/(x + 2) = -6/-6

y - 4 = 1(x + 2)

y = 4 + x + 2

y = x + 6

Equation of AE;

(y - 5)/(x - 1) = (0.5 - 5)/(1 - 1)

(y - 5)/(x - 1) = -4.5/0

Cross multiply to get;

0(y - 5) = -4.5(x - 1)

-4.5x = -4.5

x = 1

Equation of BF;

(y - 3)/(x - 5) = (1.5 - 3)/(-1 - 5)

(y - 3)/(x - 5) = -1.5/-6

(y - 3)/(x - 5) = 1/4

y - 3 = ¼(x - 5)

y = ¼(x - 5) + 3

Answer:

hope it helps mark me brainlieast!

Step-by-step explanation:

For triangle ABC with sides  a,b,c  labeled in the usual way,

c2=a2+b2−2abcosC  

We can easily solve for angle  C .

2abcosC=a2+b2−c2  

cosC=a2+b2−c22ab  

C=arccosa2+b2−c22ab  

That’s the formula for getting the angle of a triangle from its sides.

The Law of Cosines has no exceptions and ambiguities, unlike many other trig formulas. Each possible value for a cosine maps uniquely to a triangle angle, and vice versa, a true bijection between cosines and triangle angles. Increasing cosines corresponds to smaller angles.

−1≤cosC≤1  

0∘≤C≤180∘  

We needed to include the degenerate triangle angles,  0∘  and  180∘,  among the triangle angles to capture the full range of the cosine. Degenerate triangles aren’t triangles, but they do correspond to a valid configuration of three points, namely three collinear points.

The Law of Cosines, together with  sin2θ+cos2θ=1 , is all we need to derive most of trigonometry.  C=90∘  gives the Pythagorean Theorem;  C=0  and  C=180∘  give the foundational but often unnamed Segment Addition Theorem, and the Law of Sines is in there as well, which I’ll leave for you to find, just a few steps from  cosC=  … above. (Hint: the Law of Cosines applies to all three angles in a triangle.)

The Triangle Angle Sum Theorem,  A+B+C=180∘ , is a bit hard to tease out. Substituting the Law of Sines into the Law of Cosines we get the very cool

2sinAsinBcosC=sin2A+sin2B−sin2C  

Showing that’s the same as  A+B+C=180∘  is a challenge I’ll leave for you.

In Rational Trigonometry instead of angle we use spreads, squared sines, and the squared form of the formula we just found is the Triple Spread Formula,

4sin2Asin2B(1−sin2C)=(sin2A+sin2B−sin2C)2  

true precisely when  ±A±B±C=180∘k , integer  k,  for some  k  and combination of signs.

This is written in RT in an inverted notation, for triangle  abc  with vertices little  a,b,c  which we conflate with spreads  a,b,c,  

(a+b−c)2=4ab(1−c)  

Very tidy. It’s an often challenging third degree equation to find the spreads corresponding to angles that add to  180∘  or zero, but it’s a whole lot cleaner than the trip through the transcendental tunnel and back, which almost inevitably forces approximation.

Answer:

A

Step-by-step explanation:

I did not look up the actual numbers, but it can only be A.

of course, the whole aim is larger than the nucleus, which is why C is impossible with its negative exponent (which would make the whole aim smaller than the nucleus).

and B. can't be true, because it is so big 10¹⁴ times bigger than a 10-¹⁵ atom ? this would make the whole atom the size of about 10-¹ meters. so, 10 cm. a single hydrogen atom would be bigger than a tennis ball. which it isn't.

so, that only leaves A.

Answer:

46

Step-by-step explanation:

4 * 22 ÷ 2 + 2

Multiply and divide from left to right

88 ÷ 2 + 2

44 +2

Add

46

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{\dfrac{4\times22}{2}+2}[/tex]

[tex]\mathsf{4\times22 = \bf 88}[/tex]

[tex]\mathsf{\dfrac{88}{2}+2}[/tex]

[tex]\mathsf{\dfrac{88}{2}=\bf 44}[/tex]

[tex]\mathsf{= 44 + 2}[/tex]

[tex]\mathsf{\bf = 46}[/tex]

[tex]\huge\checkmark\boxed{\huge\textsf{Possible answer \#1: \bf 46}}\huge\checkmark[/tex]

[tex]\huge\text{OR........}[/tex]

[tex]\mathsf{\dfrac{4\times2^2}{2}+2}[/tex]

[tex]\mathsf{2^2}[/tex]

[tex]\mathsf{= 2\times2}[/tex]

[tex]\mathsf{= \bf 4}[/tex]

[tex]\mathsf{= \dfrac{4\times4}{2}+2}[/tex]

[tex]\mathsf{4\times4}[/tex]

[tex]\mathsf{\bf = 16}[/tex]

[tex]\mathsf{= \dfrac{16}{2}+2}[/tex]

[tex]\mathsf{\dfrac{16}{2}}[/tex]

[tex]\mathsf{= \bf 8}[/tex]

[tex]\mathsf{= 8 + 2}[/tex]

[tex]\mathsf{\bf = 10}[/tex]

[tex]\huge\checkmark\boxed{\huge\textsf{Possible answer \#2: \bf 10}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Please find the complete question and the graph in the attached file.

Step-by-step explanation:

On the basis of the data,

The level of importance is [tex]\alpha = 0.01[/tex]

Freedom levels [tex]= n -1 = 13 -1 = 12[/tex]

For the right-tailed test, the critical value is [tex]t_c = 2.681[/tex]

(Partially t-table permitted [tex]\alpha = 0.01 \ and\ df =12[/tex])

Answer:

2x+5x+3x=180°

10x=180°

x=180/10

x=18° ans..

Answer:

18

Step-by-step explanation:

Sum of angles in a straight line is 180,

2x + 5x + 3x = 180

10x = 180

x = 180 / 10

x = 18

Answer:

?

Step-by-step explanation:

Answer:

2 sets I think

Step-by-step explanation:

what are the answer choices

Answer:

1       a

2      b

3      c

4      d

Step-by-step explanation:

1b

2d

3c

4a

Answer:

10(4) > 10,000

10-(4) > 0.0001

10(4)/10(2) > 0.000001

10-(4) * 10(2) > 1/10(4) 0.01

Step-by-step explanation:

Answer:

It's 2, 1, and y = 2x + 1.

Step-by-step explanation:

You can see the rise is 2 and the run is 1, making the slope = 2, and the y-intercept is 1 because that is where it crosses the y axis. Once you have the slope and y intercept, you can put it in a function, with the form being y=2x+1, the slope being the number before the x and the y-int value being after the x.

Answer:

1.  2

2. 1

3. y = 2x+1

Step-by-step explanation:

1. [tex]\frac{rise}{run}[/tex]

2. Where does the line cross the y-axis?

3. y = mx+b

m= slope

b = y-intercept

Answer:

g(x) = 5x + 1

Step-by-step explanation:

Given data

We have the following expressions to work with

f(x) = 2x − 6 and

g(x) = 5x + 1

say the value of x = 3

let us put x into the two expressions above and compare the output

f(x) = 2*3 − 6= 6-6= 0

g(x) = 5*3 + 1= 15+1= 16

Hence the second function has the greatest output