The equation of a curve is y = a^x
Q is the point where the curve intersects the y-axis.
Write the coordinates of Q.​

Answers

Answer 1

Answer:

Q(0, 1 )

Step-by-step explanation:

To find where the curve crosses the y- axis let x = 0 in the equation and evaluate for y, that is

x = 0 → y = [tex]a^{0}[/tex] = 1 , thus

Q(0, 1 )

Answer 2

If the equation of curve is y=[tex]a^{x}[/tex] and Q is the point where the curve intersects the y axis then the coordinates of Q are (0,1).

What is equation?

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

How to find coordinates?

We have been given an equation y=[tex]a^{x}[/tex]and we have to find the coordinates of point Q which is the point where the line touches y axis. When a line touches the y axis, it's x coordinate will be zero. So in order to find the y coordinate we have to just put x=0 in the given equation.

y=[tex]a^{x}[/tex]

y=[tex]a^{0}[/tex]

y=1 (We know that something of power 0 is equal to 1)

Hence if the equation of curve is y=[tex]a^{x}[/tex] and Q is the point where the curve intersects the y axis then the coordinates of Q are (0,1).

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Related Questions

88-55+ 5x-7=180
Find the value of x

Answers

Answer:

x = 30.8

Step-by-step explanation:

88 - 55 + 5x -7 = 180

33 + 5x -7 = 180

5x -7 = 180 - 33

5x - 7 = 147

5x = 147 +7

5x = 154

x = 154/5

x = 30.8

Hope you got it.

Please mark as Brainliest.

BRIANLY I NEED HELP PLS THE RIGHT ANSWER ASP !PLS

Answers

Answer:c

Step-by-step explanation:

math

10pts and I’ll mark brainliest!
(Also EXPLAIN the reasoning you used to write the expression)

Answers

9514 1404 393

Answer:

  area = x(3x +10)

Step-by-step explanation:

The lengths of the unmarked sides are found as the difference between the lengths of the parallel marked sides.

  horizontal unmarked = (2x+15) -x = x +15

  vertical unmarked = (2x -5) -(x -5) = x

The area of the figure is the sum of the areas of parts of the figure. The area can be divided several ways. One is shown in the attachment, along with the areas of the parts and of the whole.

The whole area is ...

  x(2x -5) +x(x +15) = x((2x -5) +(x +15)) = x(2x -5 +x +15) = x(3x +10)

-5.8 C +4.2 subtract 3.1+1.4 C

Answers

Answer:

-4.4C+1.1

Step-by-step explanation:

-5.8C+4.2-3.1+1.4C

Add the variables

-5.8C+1.4C

-4.4C

-4.4C+4.2-3.1

Subtract the numbers

4.2-3.1

1.1

-4.4C+1.1

What are the solution(s) to the absolute value equation below?

Answers

Answer:

C

Step-by-step explanation:

Given

5| x - 7 | + 4 = 4 ( subtract 4 from both sides )

5 | x - 7 | = 0 ( divide both sides by 5 )

| x - 7 | = 0, thus

x - 7 = 0 ( add 7 to both sides )

x = 7 ← is the only solution → C

Which is greater, 4 4/10 or 32/10? Explain how u know.

Answers

Answer:

4 4/10

Step-by-step explanation:

Well, 32/10 would by 3 2/10 when you divide it, I think. So 4 4/10 is greater.

Fractions may be equal or unequal.

[tex]\mathbf{4\frac{4}{10}}[/tex] is greater than [tex]\mathbf{\frac{32}{10}}[/tex]

The fractions are given as:

[tex]\mathbf{F_1 = 4\frac{4}{10}}[/tex]

[tex]\mathbf{F_2 = \frac{32}{10}}[/tex]

Express the fractions as improper fractions

[tex]\mathbf{F_1 = \frac{44}{10}}[/tex]

Both fractions have the same denominator.

So, the fraction with a greater numerator is greater.

By comparison: 44 is greater than 32

i.e. 44 > 32

Hence, [tex]\mathbf{4\frac{4}{10}}[/tex] is greater than [tex]\mathbf{\frac{32}{10}}[/tex]

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simplify (4/5-2). ignore this it has to be 20 characters to work

Answers

Answer:

-1.2

Step-by-step explanation:

i need help will mark brianlyest

Answers

Answer: it is 98

Step-by-step explanation:

Answer:

800

Step-by-step explanation:

The product of 5 and a number x is 1/4 What is the value of x?
x=19/4
x=1/20
x =5/4
x =4 3/4​

Answers

Answer:

x=19/4

Step-by-step explanation:

The product of 5 and a number x is 1/4

72 persons have enough food for 7 days . but after one day they decided to finish the food in 3 remaining days . For if they invited more persons how many persons did they invite?​

Answers

Answer:

We have been given that

72 persons has enough food for 7days.

After 1 day they decided to finish the food in remaining 3 days.

We need to find number of invitees to finish the food.

After one day there are 72 people and they have food for 6 days.

If people are changed n times, time will change to (1/n) of initial time.

\frac{1}{n}\times 6\ =\ 3n1×6 = 3

Therefore n = 2

Total number of people needed  = n × 72

Total number of people needed = 72×2

Total number of people needed  = 144

Hence the number of invitees = 144 - 72 =72

72 people are invited to finish the food in 3 days

please help!!!

only answer if you know ​

Answers

16 is the answer
Bc the problem says 16 squared plus 300 would give u the answer the problem if the problem was how many seconds would it take to get the ground but it’s asks how many seconds does it take to get to the top of the tree, it’s 16

What is the hypothesis of the following conditional statement? Conditional Statement: If a triangle has three congruent sides, then it is an equilateral triangle.

A.) The triangle has three sides.
B.) If it is an equilateral triangle, it has three congruent sides.
C.) It is an equilateral triangle.
D.) A triangle has three congruent sides.

Answers

The correct answer is A

Answer:

A triangle has three congruent sides

Step-by-step explanation:

100% .

Find the slope:
(2, 18), (4, 28)

Answers

Answer: Okay, I can find the slope, the answer is m=5.

Step-by-step explanation: To find the slope, use this formula:[tex]m=\frac{rise}{run}=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Please mark me as brainliest.

The slope as evaluated from the given pair of points is; Slope, m = 5.

Slope of given Points

The slope of a line defined by two points simply refers to the rate of change of the function given by the line.

Hence, slope, m = (28 -18)/(4 -2)

Slope, m = 10/2

Slope, m = 5

Read more on slope of given Points;

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If 5cos^2θ + 6sin^2θ =11/2
, the value of cosecθ =--------

Answers

Answer:

[tex]\csc(\theta)=\sqrt{2}[/tex]

Step-by-step explanation:

Please refer to the attachment below.

We have:

[tex]5\cos^2(\theta)+6\sin^2(\theta)=11/2[/tex]

Remember that cosine is the ratio of the adjacent side to the hypotenuse. Therefore:

[tex]\cos(\theta)=\frac{b}{c}[/tex]

And sine is the ratio of the opposite side to the hypotenuse. Therefore:

[tex]\sin(\theta)=\frac{a}{c}[/tex]

Substitute into our original equation:

[tex]5(\frac{b}{c})^2+6(\frac{a}{c})^2=11/2[/tex]

Square:

[tex]\frac{5b^2}{c^2}+\frac{6a^2}{c^2}=\frac{11}{2}[/tex]

Multiply both sides by c squared:

[tex]5b^2+6a^2=\frac{11}{2}c^2[/tex]

Let’s also multiply both sides by 2 to eliminate the fraction:

[tex]10b^2+12a^2=11c^2[/tex]

Remember that according to the Pythagorean Theorem:

[tex]c^2=a^2+b^2[/tex]

Hence, we can make another substitution:

[tex]10b^2+12a^2=11(a^2+b^2)[/tex]

Distribute:

[tex]10b^2+12a^2=11a^2+11b^2[/tex]

Subtract 10b² from both sides:

[tex]12a^2=11a^2+b^2[/tex]

Subtract 11a² from both sides:

[tex]a^2=b^2[/tex]

Take the square root of both sides:

[tex]a=b[/tex]

Hence, a is equivalent to b.

Then, we must have a 45-45-90 Triangle.

Therefore, our angle θ is 45°.

We can substitute this back into our original equation to make sure. Remember that cos(45)=sin(45)=√2/2:

[tex]\begin{aligned} 5\cos^2(45)+6\sin^2(45)&=11/2 \\ 5(\frac{\sqrt{2}}{2}})^2+6(\frac{\sqrt{2}}{2})^2&=11/2 \\ 5(2/4)+6(2/4)&=11/2 \\ 5(1/2)+6(1/2)&=11/2 \\ 5/2+6/2&=11/2 \\ 11/2&=11/2 \;\checkmark \end{aligned} \\[/tex]

Hence:

[tex]\begin{aligned} \sin(45)&=\frac{1}{\sqrt{2}} \\ \Rightarrow \csc(\theta)&=\sqrt{2} \end{aligned}[/tex]

write this number in scientific notation 56,700,000

Answers

Answer:5.67* 10^7

Step-by-step explanation:

In triangle def the measure of angle F=90 degrees fe=21 df=20cand ed=29 what is the cosine of angle e to nearest hundredth

Answers

Answer:

four angles at point B in this second diagram.

Step-by-step explanation:

Write an equation of the line below.

Answers

Answer:

y=1/2x+4

Step-by-step explanation:

Refer to the picture that given :)

The first thing you have to find is the y-intercept.

The y-intercept is when the line INTERCEPT the y-axis and as you can see point 4 is the one that is intercepting.

To find the slope you just have to use the slope intercept form
M= rise/run

rise(up+/down-) and run(right+/left-)

So you put your pencil in point for and go 2 times up(+) and then 6 times left(-) to each the other point.

You slope is -2/6 or you can simplify to -1/3 because you can divide by 2 (2:2=1 and 6:2=3)

The slope was negative because number 2 is positive and number 6 is negative (+) + (-) is negative.

The final equation is y= -1/3x+4

The formula that you use is this y=Mx+b

(M is the slope, x is just x and b is the y intercept)

Hope this explanation helps you :D



he side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube

Answers

Answer:

V=(3x+2y)^3

Step-by-step explanation:

V=s^3

s=3x+2y

Substitute

V=(3x+2y)^3

A cuboid with a volume of 374 cm'has dimensions
2 cm, (x + 3) cm and (x + 9) cm.
Show clearly that x2 + 12x - 160 = 0
Solve the equation by factorisation, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.​
WILL MARK BRAINLIEASTT

Answers

Answer:

(x+3)(x+9)=x²+12x+27

2x²+24x+54=374

2x²+24x-320=0

x²+12x-160=0

x=-20 x=8  

2cm,(-20+3)cm,(-20+9)cm

L=2cm W=-17cm H=-11

Step-by-step explanation:

Expand (x+3) and (x+9) -----> x^2+12x+27

Multiply the answer by two 2x^2+24x+54

Move 374 to the side by taking away ----->54-374=320

Divide the whole equation by 2 ---> x^2+12x-160

Factorise

The Width of cuboid is 11cm and Height of cuboid is 17 cm

What is Quadratic Equation?

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax²+ bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a≠ 0) for an equation to be a quadratic equation. The x² term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are often expressed as integral values rather than fractions or decimals.

Given:

Volume of Cuboid= 374

length= 2cm

width= x+ 3

height= x+ 9

Now, Volume of cuboid= length x width x height

2(x+3)(x+9)=374

2(x² + 12x +27)= 374

x² + 12x +27 = 187

x² + 12x -160=0

Now, factorizing

x² + 20x -8x-160=0

x( x+20) -8(x+ 20)=0

(x+ 20)(x -  8)=0

x= 8 and x= - 20

As. the dimensions cannot be negative.

So, Width= x+3 = 8+3 = 11cm

Height= x+9 = 3+9 = 17 cm

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On a coordinate plane, a solid straight line has a negative slope and goes through (0, 1) and (1, 0). Everything to the left of the line is shaded. The solutions to the inequality y ≤ −x + 1 are shaded on the graph.

Which point is a solution?
(2, 3)
(3, –2)
(2, 1)
(–1, 3)

Answers

Answer:

B

Step-by-step explanation:

The equation is

y<=-x+1.

We test all and figure that B is correct.

-2<=-3+1

-2<=-2.

Correct!

So the answer is B

Hope this helps ;D

Answer:

Step-by-step explanation:

the answer is bee

There are 40 teachers that work in a school. On
Friday, 26 teachers were present. What percent
of the teachers showed up for work?

Answers

Answer:

65% sorry if it isn't right

A man travels at 42 degrees northwest, and ends up 8.5 miles west of his starting point. How far did he travel?

Answers

Answer:

The man traveled 12.70 miles.

Step-by-step explanation:

We can find the distance traveled by the man knowing:

[tex]d_{W}[/tex]: the distance at the west = 8.5 miles

[tex]\theta_{NW}[/tex]: the northwest angle = 42°

Then by using the following trigonometric identity we have:

[tex] sin(\theta) = \frac{d_{W}}{d_{NW}} [/tex]

[tex] d_{NW} = \frac{d_{W}}{sin(\theta)} = \frac{8.5 miles}{sin(42)} = 12.70 miles [/tex]

Therefore, the man traveled 12.70 miles.

I hope it helps you!                                    

can i have the answer please

Answers

Answer:

x=0,4

Step-by-step explanation:

Ok i figured out the other question with some help but this one is actually confusing to me

Answers

I believe either B or C
Answer:

I ran it through an interest calculator for both.

The compound interest accumulates to about 2,812.16$.

The simple interest accumulated to 2,800$.

Adding them both together you get a total of 5,612.16$.

Your answer is B.

use the elimination method to solve the system of equation choose the correct ordered pair 3x+6y=36 3x-6y=0

Answers

Answer:

x=6

y=3

Step-by-step explanation:

i u can't open the image i attached, pls inform me

Use the numbers 2,4,6,8 to make 60. You can use any operations and use brackets as well.

Answers

Answer:

6*4*2+8+2+2=60

Step-by-step explanation:

6*4=24

24*2=48

48+8=56

56+2=58

58+2=60

lol other person did the multiplication so i did the long way

The arithmetic operation is used to make 60 by the number 2,4,6,8 with operation 6×4×2+8+4=60.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Multiplication, Subtraction, Summation, and division.

As per the given numbers,2,4,6,8

Let's multiply 6 and 4

6 × 4 = 24

Now let's multiply 24 by 2

24 × 2 = 48

So, 6 × 4 × 2 = 48

Now we need to add only 12 to get 60 so, 8 + 4 = 12

So, 6 × 4 × 2 + 8 + 4 = 60

Hence "The arithmetic operation is used to make 60 by the number 2,4,6,8 with operation 6×4×2+8+4=60".

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the sum of two numbers is 31. if one of these numbers is x and x is 11 more than the other number what is the value of x

Answers

Answer:

y equals 17

So the larger of the two numbers is 17.

Step-by-step explanation:

So, here is what is given.

x+y=31

2x=y+11

So if x+y=31, then 2x+2y will equal 62. Replace 2x with what's given.

y+11+2y=62

3y+11 -11 =62 -11

3y=51

y=17.

Alternatively

x+y=31, and 2x=y+11

x -x +y=31 -x

y=31-x

2x=31-x+11

2x +x=42-x+x

3x=42

x=14

2(14)=y+11

28 -11 =y+11 -11

Again, y equals 17.

So the larger of the two numbers is 17.

This is trigonometry and I need to find angle yxz and the answer has to be to 3 sf

Answers

Answer:

Below.

Step-by-step explanation:

tan < XYZ = opposite/adjacent

= 8/20  = 0.4.

XYZ = 21.8 degrees to 3 s f.

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

Answer:

Acute not equiangular

Step-by-step explanation:

The angles are all below 90 degrees and are not all the same.

Determine whether AB and CD are parallel, perpendicular,
or neither.
A (12,3), B(-3,9), C (-6,4), D (-2,-6)

Answers

Answer:

Step-by-step explanation:

we can find the equations for both lines and analyze after

[tex]y = mx + b\\where\\m = \frac{y_2-y_1}{x_2-x_1}\\\\[/tex]

AB:

[tex](12, 3), (-3, 9)\\m = \frac{9-3}{-3-12} = \frac{6}{-15} = \frac{-2}{5}[/tex]

[tex]y = \frac{-2}{5}(x) + b\\3= \frac{-2(12)}{5} + b\\3 = \frac{-24}{5} + b\\b = \frac{39}{5} \\y = \frac{-2}{5}(x) + \frac{39}{5}[/tex]

CD:

[tex](-6, 4) (-2, -6)\\m = \frac{4-(-6)}{-6-(-2)} = \frac{10}{-4} = \frac{-5}{2} \\y = \frac{-5}{2}(x) + b\\4 = \frac{-5(-6)}{2} + b\\4 = 15 + b\\b = -11\\y = \frac{-5}{2}(x) - 11[/tex]

Determining whether two lines are parallel or perpendicular involves looking at their slopes. AB has a slope of -2/5, CD has a slope of -5/2. Since these are not equal (not parallel) and not negative reciprocals of each other (not perpendicular), the lines are neither perpendicular or parallel.

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