What is the slope of the line whose equation is
2y = 5x + 4?
1) 5 2) 2 3) 5/2 4) 2/5

Step-by-step explanation:

The magnitude of x is equal or less than 7.

=> We have |x| <= 7.

Answer:

1.17 x 10^2

Step-by-step explanation:

Im pretty sure its right

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

UT is shorter than WT, therefore you cannot use it on this triangle.

I am joyous to assist you at any time.

Answer: 1,152 toys can be stored in the box.

Step-by-step explanation:

For an object with measures L (length) by W (width) by H (height) the volume is calculated as:

V = L*W*H

We know that the measures of each toy are: 4in x 3in x 3in

Then the volume of each toy is:

V = 4in*3in*3in = 36in^3

The toy box is 4ft x 2ft x 3 ft

First we should write the measures in the same units as before, we know that:

1ft = 12 in.

Then:

4ft = 4*12 in = 48 in

2ft = 2*12in = 24in

3ft = 3*12in = 36in

Then the measures of the box are:

48in x 24in x 36in

Then the volume of the box is:

V = 48in*24in*36in = 41,472 in^3

Now, the number of toys that can be stored in the box is the same as the number of times that  36in^3 is in 41,472 in^3

this is equal to the quotient between 41,472 in^3 and 36in^3

N = 41,472 in^3/36in^3 = 1,152

1,152 toys can be stored in the box.

Answer:

[tex]r=11[/tex]

Step-by-step explanation:

The equation of a circle is commonly denoted as:

[tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h, k)[/tex] is the center of the circle.

This equation is already written in that format, therefore:

[tex]r^2=121,\\r=\fbox{$11$}[/tex],

Answer:

i think it is 12

Step-by-step explanation:

Answer:

There is not enough information to tell the answer to this problem.

Step-by-step explanation:

sorry

Answer:

Sorry but I cant solve this bc there is not enough info

Step-by-step explanation: :/

Answer:

lol brainliest

Step-by-step explanation:

The probability that he makes at least 3 shots is P{E} = 0.15

Given is that Zared plays basketball on his high school team. One of the things he needs to practice is his free throws. On his first shot, there is a probability of 0.6 that he will make the basket. If he makes a basket, his confidence grows and the probability he makes the next shot increases by 0.05. If he misses the shot, the probability he makes the next one decreases by 0.05.

If he takes 5 shots, than the probability that he makes at least 3 shots is-

P{E} = 5 x 0.05 - 2 x 0.05

P{E} = 0.25 - 0.1

P{E} = 0.15

Therefore, the probability that he makes at least 3 shots is P{E} = 0.15.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

SPJ2

Answer:

307.88

Step-by-step explanation:

Answer: 37.5 rounded it would be 38

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope it helps!

Answer:

-1 and 1/7

Step-by-step explanation:

hope this helps! have a great day!

Answer:

Subtract 5x

Step-by-step explanation:

Cause then you would only get one x in the equation instead of 6x and 5x. Hope this helps!

Answer:

this is what i used as my answer on the advice i would give tucker for what to do as his first step.

Step-by-step explanation:

i would tell tucker to add 5 negative x-tiles because then he would be isolating the x variable and that would help him with not getting confused when gets to the part where he has to isolate the variable if he was to add 1 negative unit tile to both sides as his first step.

Either first step will isolate the variable.

Answer:

Step-by-step explanation:

a). By applying Pythagoras theorem in right triangle ABC,

AC² = AB² + BC²

20² = 16² + BC²

BC = [tex]\sqrt{400-256}[/tex]

     = 12

Therefore, another leg of the triangular base = 12 cm

Area of the triangular base ABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                                      = [tex]\frac{1}{2}(16)(12)[/tex]

                                                      = 96 cm²

Volume of a triangular prism = Area of the triangular base × height

                                       960 = 96 × b

                                          b = 10 cm

b). Area of the triangle ABC = 96 cm²

Answer:

Step-by-step explanation:

First find factors of 81

3 81

3 27

3 9

3 3

1

81 = 3×3×3×3

81 = 3^4

Taking squareroot

∴ -√81 = -√3^4

= -3^2

= -9

Answer:

8/6

Step-by-step explanation:

That is because 8 and 6 are double than that of 4 and 3 so it is an equavalent equation.

Answer:

8/6

Step-by-step explanation:

Multiply the numerator and denominator by 2! :)

Answer:

a) the required probability is 0.0013

b) the required probability is 0.0288

c) the required probability is 0.9759

Step-by-step explanation:

Given the data in the question;

let x be the thickness measurements

Given that X follows a Normal distribution with mean μ = 5.4

standard deviation σ = 0.8

then z = x-μ / σ = x-5.4 / 0.8   follows standard Normal

a) probability that the thickness is less than 3.0 mm

P( x<3 ) = P( x-5.4 / 0.8  <  3-5.4 / 0.8 ) = P( Z < -3.00 ) = 0.0013

Therefore, the required probability is 0.0013

b) the thickness is more than 7.0 mm

P( x>7 ) = P( x-5.4 / 0.8  >  7-5.4 / 0.8 ) = P( Z > 2.00)

= 1 - P( Z ≤ 2)

= 1 - 0.9772

= 0.0288

Therefore, the required probability is 0.0288

c) the thickness is between 3.0 mm and 7.0 mm

P(3< x<7 ) = P( x<7) - P(x<3)

= P( x-5.4 / 0.8  >  7-5.4 / 0.8 )  - P( x-5.4 / 0.8  <  3-5.4 / 0.8 )

= P( Z< 2 ) - P( Z < -3)

= 0.9772 - 0.0013

= 0.9759

Therefore, the required probability is 0.9759

Answer:

y=-[tex]\frac{1}{2}[/tex]x+[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find

m=(y2-y1)/(x2-x1)

  =(2-(-4))/(-2-1)

  =6/-3

  =-2

in this equation the slope is 2, and to find the first equation, use y=mx+b

use the point (1, -4) to find b

-4=(2)(1)+b

-4=2+b

b=-6

the first equation of the line is y=2x-6

to find the x intercept of that line substitute 0 for y

0=2x-6

2x=6

x=3

the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2

for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b

y=mx+b

0=(-1/2)(3)+b

b=3/2

thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-[tex]\frac{1}{2}[/tex]x+3/2

The equation of the line that is perpendicular to the line through (1,-4) and (-2,2) is [tex]y= \frac{1}{2}x+3[/tex]

The equation of the line perpendicular to the line passing through the points (x₁, y₁) and (x₂, y₂) is given as:

[tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]

The slope m is calculated using the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{2-(-4)}{-2-1} \\\\m=\frac{6}{-3} \\\\m=-2[/tex]

For the line passing through the points (1,-4) and (-2,2), substitute m = -2, x₁ = 1, and  y₁ = -4 into the equation [tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]

[tex]y-1=\frac{-1}{-2} (x-(-4))\\\\y-1=\frac{1}{2}(x+4)\\\\y=\frac{1}{2}x+2+1\\\\y= \frac{1}{2}x+3[/tex]

Learn more on equation of a line here: https://brainly.com/question/13763238

9514 1404 393

Answer:

  circle of radius 27 inches

Step-by-step explanation:

Anywhere a plane cuts a sphere, the cross section is a circle. When the plane includes the center of the sphere, the circle has the same radius the sphere has.

The cross section is a circle of radius 27 inches.

Answer:

3/9 is 1/3 but 4/9 is already simplified :D

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Operations With Fractions

Evaluate the expression:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}[/tex]

The division of fractions is can be done by multiplying the fraction on the numerator by the reciprocal of the fraction on the denominator:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{4}\cdot\frac{4}{5}[/tex]

Simplifying:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{5}{4}}=\frac{3}{5}[/tex]

Answer: [tex]\frac{3}{5}[/tex]

Answer:

um what

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm not sure if you wanted the answer or not but here's the answer to that.

4.7z + 13y + 34/5

Answer:

9.5-2.75=h

Step-by-step explanation:

Answer:

9^3 times 7^2

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

30 divided by 3 is 10 so 4 multiplied by 10 is $40

Answer: 129

Step-by-step explanation: 43•3=129

Answer:

1 is false

2 is blueprints

Step-by-step explanation:

Answer:

I think c but I'm not sure

Answer:

C: (-3,6)

Step-by-step explanation:

add both equations

5x+2x+2y-2y=-15+(-6)

7x=-21

x=-3

input x=3 into any equation in system and solve for y

2(3)-2y=-6

-2y=-12

y=6

solution: (-3, 6)