What's the first step in order to solve the exponential equation?
4-^5x = 21
Divide both sides by 21
O Convert the equation to a logarithm with a base of 21
O Divide both sides by 4
O Convert the equation to a logarithm with a base of 4
O The equation is already solved.

Answer:

with what plz explain the question

Answer:

Step-by-step explanation:

I take it the unmarked angle on the top triangle should be Q

The way the triangles are marked the following are the statements.

<Q = < X                Given

RQ  = XZ               Given

XY =  PQ               Given

Is the angle included between the two given sides?

If yes then the Two Triangles are congruent by SAS

If no then the Two Triangles cannot be conclusively known to be congruent.

I have to leave you to figure out the flow chart symbols. I have no way of showing this as a flow chart if it is a computer program flow chart.  

Answer:

A is the answer it sounds more likely

For given data, being a girl and playing a sport are independent events as P(girl) = P(girl plays a sport) = 0.4.

"If A and B are independent events then, P(A∩B) = P(A).P(B)"

"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.

For given question,

We have been given a table that shows the results broken down by gender.

             Play sports         Do not play sports       Total

Boy            105                            75                        180

Girl             70                             50                        120

Total          175                            125                       300

Using the definition of probability:

⇒ P(girl)  = Number of girls/ Number of students

⇒ P(girl) = 120/300

⇒ P(girl) = 0.4                     ....................(1)

Now we find the probability of girls that play a sport.

Using the definition of probability:

P(girl plays a sport)

= Number of girls who plays a sport/ number of students who plays a sport

= 70/ 175

= 0.4                                    ......................(2)

From (1) and (2),

P(girl) = P(girl plays a sport)

Thus, being a girl and playing a sport are Independent events.

Learn more about independent events here

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Answer: C equilateral triangle

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i did the test :)

75 as a fraction of 125 would be 75/125

Now Lets simplify

75/25=3

125/25=5

We get 3/5

We can not reduce 3/5 anymore, so the answer is 3/5

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25. 75 is 3/5 fraction of 125.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Let 75 be x fraction of 125. Therefore, we can write the statement as,

x × 125 = 75

x = 75/125

x = 3 /5

Hence, 75 is 3/5 fraction of 125.

Learn more about Fraction:

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Angle 4 is an exterior angle which is equal to the sum of the two opposite inside angles.

The two opposite inside angles are given as 51 and 51

Angle 3 = 51 + 51 = 102 degrees.

Answer:

[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

thus our equation is

[tex] \displaystyle {51}^{ \circ} + {51}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]

simplify addition:

[tex] \displaystyle {102}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]

cancel 102° from both sides:

[tex] \displaystyle \angle2 = {72}^{ \circ} \cdots \text{I}[/tex]

By straight line theorem we acquire:

[tex] \displaystyle \angle4 + \angle2 = {180}^{ \circ} [/tex]

substitute:

[tex] \displaystyle \angle4 + {72}^{ \circ} = {180}^{ \circ} [/tex]

cancel 72° from both sides:

[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]

hence, the measure of [tex]\angle 4[/tex] is 108°

Answer:

7/2, 5/4

Step-by-step explanation:

Answer:

x = 7/2 and y = 5/4

Step-by-step explanation:

2(5x - 2y = 15)

2x + 4y = 12

10x - 4y = 30

2x + 4y = 12                 (add)

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

12x = 42

x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]

2x + 4y = 12         (subsitute)

2([tex]\frac{7}{2}[/tex]) + 4y = 12

7 + 4y = 12

4y = 5

y = [tex]\frac{5}{4}[/tex]

Answer:

The area is 112.

Step-by-step explanation:

14 x 16 = 224

224/2 = 112

Answer:

20 feet

Step-by-step explanation:

[tex]1)\ A = \frac{b * h}{2}[/tex]

[tex]2)\ 120 = \frac{12b}{2}[/tex]

[tex]3)\ 12b = 240[/tex]

[tex]4)\ b = 20[/tex]

Answer:

B) (-6,9)

Step-by-step explanation:

since it's reflecting on the x-axis, the x is gonna stay the same. the y changes though. opposite of -9 is 9.

hope this helps <3

Answer:

B, (-6, 9)

Step-by-step explanation:

this is because it's like as if it was a mirror, so that is the correct answer

9514 1404 393

Answer:

  B)  fifth grade boys

Step-by-step explanation:

55 tickets is halfway between the lines marked 50 tickets and 60 tickets. The bar that comes closest to that value is the right-most green bar, representing ...

  fifth-grade boys

Step-by-step explanation:

Starting from the upper left in the clockwise direction:

congruent: no

similar: no

upper right side:

congruent: yes

similar: yes

lower right side:

congruent: no

similar: yes

lower left side:

congruent: yes

similar: yes

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

x + 14 = 5x - 74 (corresponding angles are equal to each other)

[tex]x + 14 = 5x - 74 \\ 14 + 74 = 5x - x \\ 88 = 4x \\ \frac{88}{4} = x \\ 22 = x[/tex]

Answer:

22

Step-by-step explanation:

Angles x + 14 and 5x - 74 are adjacent angles.

Adjacent angles are equal.

5x - 74 = x + 14

5x - x = 14 + 74

4x = 88

x = 88 / 4

x = 22

Answer:

D. Removeable

Step-by-step explanation:

ed2021

Answer:

It's actually C, infinite!

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]1\ hr = 10\ miles[/tex]

Required

The graph that shows the number of miles in x hours

We have:

[tex]1\ hr = 10\ miles[/tex]

Multiply both sides by x

[tex]x * 1hr = 10miles * x[/tex]

[tex]xhr=10x\ miles[/tex]

So, the function is:

[tex]f(x) =10x[/tex]

Answer:

Tens

Step-by-step explanation:

it’s really easy if you know your place values just go ones,tens,hundreds,thousands and keep going but the answer is tens place.

Answer:

E) 6

Step-by-step explanation:

a/b = 6

36/b = 6

6b = 36

b = 36/6 = 6

b/x = 36

6/x = 36

36x = 6

x = 6/36 = 1/6

hence 1/x = 6

Answer:

E) 6

Step-by-step explanation:

a/b=6, b/x=36, and a=36

=>a = 6b

36 = 6b => b =6

b/x = 36 => x = b/36 = 6/36

so, 1/x = 36/6 = 6

Answer:

Step-by-step explanation:

W = 2L + 3, and:

P = 2W + 2L = 192

Substituting 2L + 3 for W, we get:

P = 2(2L + 3) + 2L = 192, or

4L + 6 + 2L = 192, or:

6L = 186

L = 186/6 = 31

The length is 31, the width is 62 + 3, or 65

Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62  = 192 (OK!)

Answer:

[tex]V=6x^3+3x^2[/tex]

Step-by-step explanation:

The given figure shows a cuboid whose length is (2x+1) breadth is x and height is 3x.

We need to find the volume of the three dimensional figure.

The volume of a cuboid is given by :

V = lbh

Substitute all the values,

[tex]V=(2x+1)\times x\times 3x\\\\V=(2x+1)\times 3x^2\\\\= 3x^2(2x)+3x^2\\\\V=6x^3+3x^2[/tex]

So, the volume of the figure is equal to [tex]6x^3+3x^2[/tex].

Answer:

yeah it's 0.35 I agree with the other guy

Answer:

12 inches

Step-by-step explanation:

Find the square root

144² ÷ 2 = 12

Therefore, the length of one of the sides of the board with an area of 144 sq. in is 12 inches.

Answer:

Length of Ladder(Hypotenuse)=18

Height of wall(Opposite) =14

How far from the base... This talks about the adjacent or distance between the wall and the base.

You can get your answer from Pythagoras theorem

Which states

The square of the hypotenuse is = to the squares of the adjacent and Opposite sides

H² = O² + A²

We're looking for the adjacent "A"

Making A the subject

A² = H² - O²

A= √H² - O²

A= √18² - 14²

A=√128

A= 8√2'

If you mirror the graph along the x axis and it lies on itself ( mirror image) it is even, if not it is odd.

If you mirror the top graph the high/ low points would be opposite so the top graph is odd

The bottoms graph can be mirrored so the bottom graph is even.

Answer:

B 720 sq m

Step-by-step explanation:

A= 24^2 + 12^2

= 720 sq m

Answer:

Rotation:

Step-by-step explanation:

Translation is usually movements like up, down, left, right.

Dilation is when one shape is bigger/smaller than the other, but still congruent.

Reflections are usually done over an axis (x or y), and don't change the degree at which a shape is turned. From looking at the triangles, you can see that one triangle was turned clockwise.