What is the measure of 2L?
K
7
7
25°
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Answer:

B. (8,1)

Step-by-step explanation:

x+y=9

x-y=7

x=7+y

Therefore in the equation x+y=9 , x=7+y

(7+y)+y=9

7+2y=9

2y=9-7

2y=2

y=2/2=1

therefore x=7+y

=7+1=8

The solution of the system of equation are,

⇒ (8, 1)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

System of equations are,

x + y = 9  .. (i)

x - y = 7  .. (ii)

Now, We can simplify as;

From (i);

x = 9 - y

Put in (ii);

x - y = 7

9 - y - y = 7

9 - 2y = 7

9 - 7 = 2y

2y = 2

y = 1

From (i);

x = 9 - y

x = 9 - 1

x = 8

Thus, The solution of the system of equation are,

⇒ (8, 1)

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Answer:

b = 28

Step-by-step explanation:

Given

a(7x+2)=bx+8

=> 7ax + 2a = bx + 8

in both the equation there is a term containing x and a term not containing x.

since value of both equation is equal. hence

term containing x on both side will be equal to each and

term independent of x will be equal in both the equation

thus

7ax = bx

2a = 8

=> a = 8/2 = 4

now, plugging a = 4 in 7ax = bx

7*4x = bx

=> b = 7*4x/x = 28.

Thus, value of b is 28.

Answer:

94.6m³

Step-by-step explanation:

The diagram shown in this question is a trapezoidal prism.

The volume of a trapezoidal prism is calculated as:

L × H × (P + Q/2)

Where L = Length = 4m

H = Height = 4.3m

P = Base width = 8m

Q = Top width = 3m

The volume of the trapezoidal prism =

4 × 4.3 ×(8+3/2)

=4 × 4.3 ×(11/2)

= 94.6m³

Therefore, the volume of the trapezoidal prism to the nearest tenth = 94.6m³

Answer:

7:10:34

Step-by-step explanation:

1. Ratio outline:

       Length 1:Length 2:Perimeter

2. Length 1 = 35 feet

3. Length 2 = 50 feet

4. Perimeter = Length of all sides

     - Since, a ractangle has 4 sides and the opposite sides are equal, we do Perimeter = 35+50+35+50 = 170

5. Substitute the values into the ratio outline:

        35:50:170

6. Convert into simplest form: Divide by greatest common factor (5)

         7:10:34

Answer:

trapezoid (U.S.A.)

trapezium (UK)

Step-by-step explanation:

On the right side, two sides are perpendicular to the same side. That makes those two sides parallel. A quadrilateral with 2 parallel sides is a trapezoid (in the U.S.) or trapezium (in the UK.)

Answer:

It’s a trapezoid

Step-by-step explanation:

A trapezoid can have a flat side and can look normal.

Step-by-step explanation:

number of correct answer is x and

number of wrong answer is y

according to question

In the case of Radhika

5x-2y=30

x=10

y=10

In the case of Jay

5x-2y=-12

x=4

y=16

incorrect answer by Radhika is 10 and by jay is 16

Answer:

60 feet cubed

Step-by-step explanation:

We are told type of pyramid is a rectangular pyramid.

The volume of a rectangular pyramid = 1/3 × Length × Width × Height

We are told that the pyramids have a base of 4 feet by 5 feet and a height of 4.5 feet.

Volume for one of the pyramid =

1/3 × 4 × 5 × 4.5

= 30 cubic feet

Since the pyramid has the same measurements, that means the second pyramid also has the volume of = 30 cubic feet.

The total volume of the figure of the two pyramids stacked together = 30 cubic feet + 30 cubic feet = 60 cubic feet or 60 feet cubed.

Answer:

60 ft

Step-by-step explanation:

Answer:

0.421

Step-by-step explanation:

add all numbers: 59 + 68 + 12 + 1 = 140

blue jays: 59

p(blue jay) = 59/140 = 0.421

Answer:

0.421

Step-by-step explanation:

59 + 68 + 12 + 1 = 140

59/140 = 0.421

Hey there! :)

Answer:

False.

Step-by-step explanation:

In a point, the coordinates are in the format:

(x, y).

In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:

Move right 5, down 3.

Answer:

False

Step-by-step explanation:

To plot the point (5, -3) you would move right 5, then down 3.

Answer:

Step-by-step explanation:

first we will break the parts of the question down:

d= distance

t= time

function: d=t(60)

the independent variable is t, time, because the (distance) that the car travels depends   on how long the car has been traveling for (time) meaning that the dependent value is distance.

A table we can create with 5 coordinate pairs is:

(time)        (distance)

1 hr            60miles

2 hr           120 miles

3 hr          180 miles

4 hr            240 miles

5 hr           300 miles

(to graph the coordinate pairs, you can graph the points listed in the table. the time value represents the x value since it is the independent variable, and the y value will be the distance values since it is dependent.)

Answer:

Last Choice: Angles F and C are congruent

Step-by-step explanation:

Angles F and C are congruent because they are vertical angles.

All other pairs of angles in the choices are not necessarily congruent.

Answer:

-5^7/-5^2=5^7/5^2= 5^(7-2)=5^5 this is the answer

Step-by-step explanation:

plz give me brianlist

Answer:

I think it's a,c,and e that aren't polynomials

Answer:

A, C, and E

Step-by-step explanation:

A is not a polynomial because its exponents is negative.

C is not a polynomial because the power of x is ½ and exponents can only be integers

E is not a polynomial because one cannot divide by a variable and the exponent of x is negative

Answer:

Volume = 65.55 cm³

Step-by-step explanation:

Given

Volume of a ball = 4 in³

Required

Convert volume from in³ to cm³

Recall that

Volume of the ball = 4 in³

Simplify the expression above

Volume = 4 * 1 in³ ------ Equation 1

From laws of indices:

1in³ = 1in * 1in * 1n

Substitute the above law in Equation 1

Volume = 4 * 1 in * 1 in * 1 in --- Equation 2

From the question,

1 in = 2.54cm

Substitute 2.54cm for 1 in in equation 2

Volume = 4 * 1 in * 1 in * 1 in becomes

Volume = 4 * 2.54 cm * 2.54 cm * 2.54 cm

Volume = 65.548256 cm³

Volume = 65.55 cm³ (Approximated)

Hence, the volume of the ball in cm³ is approximately 65.55 cm³

Answer:

Hey there!

1 liter is equal to 1000 milliliters.

0.25 liters is equal to 250 milliliters.

One mega meter is equal to 1000000 meters.

1.2 Mm= 1200000 meters.

Hope this helps :)

Step-by-step explanation:

1l = 1000ml

Convert 0.25 litres to milliliters

0.25 x 1000 = 250 ml

1 megametre = 1000000

1.2 x 1000000= 1200000m

Answer: 172

 If something is below underwater then it is a negative. They are under water they are both negatives. To find the distance you subract both number and get their absolute value.

-227-55= -172

Absolute value=172

Answer:

4.9

Step-by-step explanation:

In this case, the ratio of the surface area is equal to the square root of the ratio of surface area ; 6 : 9

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or

[tex]\dfrac{a}{b}[/tex]

The ratio of a cube with a surface area of 36 m² to a cube with a

surface area of 81 m².

The face assumed to be square, hence the area is equal to the square of the length.

36 / 81 = 6 / 9

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Answer:

0.3 Train is late

Step-by-step explanation:

20% - Train is early

50% - Train is on time

add

0.2 + 0.5 = 0.7

subtract from 1

1 - 0.7 = 0.3

Answer:

x = -0.23

Step-by-step explanation:

2000=5000e^4x

=> e^4x = 2000/5000 = 2/5

taking the natural logarithn on LHS and RHS

ln e^4x = ln2/5

=> 4x lne = ln2/5

we know ln e = 1, also ln a/b = lna - ln b

ln 2 = 0.693, ln 5 = 1.609

4x = ln2 - ln5

4x = 0.693 - 1.609

x = -0.916/4 = -0.229

Thus, x = -0.23 rounded to two decimal place.

Answer:

h(t) = h₀ + v₀·t + 1/2 g t² with

h₀=0.125, v₀=80 ft/s and g=32.174 ft/s²

4.9 seconds

Step-by-step explanation:

16.087 (t - 2.48648)^2 - 94.5842 = 0

solving as a quadratic equation yields t ≈ 4.9 seconds

Answer:

We fail to reject H₀.

At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.

Step-by-step explanation:

The hypothesis for the statistical test is defined as follows:

H₀ : μ =25 vs. Hₐ : μ > 25

The test statistic value is, z₀ = 0.22.

The p-value of the test is, p-value = 0.41.

The significance level is, α = 0.05.

The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.

A small p-value (typically ≤ 0.05) specifies strong evidence against the null hypothesis (H₀), so you discard H₀.

A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.

Here, p-value = 0.41 > α = 0.05.

The null hypothesis was failed to be rejected at 5% level of significance.

Conclusion:

There is not enough evidence to support the claim that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.

Answer:

change in y

over

change in x

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

please make me brainliest

Answer:

A. 2614 m^2 to the nearest square meter.

Step-by-step explanation:

Volume of the sphere

= 4/3 pi r^3 = 4000 pi

4/3 r^3 = 4000

r^3 = 4000 * 3/4 = 3000

r = ∛(3000)

The surface area

=4 pi r^2

= 4 * pi *  (∛(3000)^2

= 4 * pi * 208.008

= 2613.91 m^2.

if g(x) = 0, then

x = 0 -- > g(0) = 0^2 + 2(0) = 0 + 0

AND x = -2 --> g(-2) = -2^2 + 2(-2) = 4 + (-4) = 0.

I don't know why f(x) was given at all, but when x = 0, f(0) = -5, and when x = -2, f(-2) = -8.

Answer:

Option B.

Step-by-step explanation:

The given relation is

[tex]x=2y^2+6[/tex]

At y=-2,

[tex]x=2(-2)^2+6[/tex]

[tex]x=2(4)+6[/tex]

[tex]x=8+6[/tex]

[tex]x=14[/tex]

Similarly,

At y=-1,

[tex]x=2(-1)^2+6=8[/tex]

At y=0,

[tex]x=2(0)^2+6=6[/tex]

At y=1,

[tex]x=2(1)^2+6=8[/tex]

At y=2,

[tex]x=2(2)^2+6=14[/tex]

So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).

Therefore, the correct option is B.

Answer:

Here is the full proof:

AC bisects ∠BCD      Given

∠CAB ≅ ∠CAD          Definition of angle bisector

DC ⊥ AD                    Given

∠ADC = 90°               Definition of perpendicular lines

BC ⊥ AB                    Given

∠ABC = 90°               Definition of perpendicular lines

∠ADC ≅ ∠ABC          Right angles are congruent

AC = AC                     Reflexive property

ΔCAB ≅ ΔCAD          SAA

BC = DC                     CPCTC          

Answer:

The answer is number 2 because a positive number is always bigger than a negitive number

Step-by-step explanation:

The displacement of a particle d (in km) as a function of time t (in hours) is given by :

[tex]d=2t^3+5t^2-3[/tex]

Displacement at t = 4 hours,

[tex]d(4)=2(4)^3+5(4)^2-3=205\ km[/tex]

Velocity of particle is given by :

[tex]v=\dfrac{dd}{dt}\\\\v=\dfrac{d(2t^3+5t^2-3)}{dt}\\\\v=6t^2+10t[/tex]

Velocity at t = 4 hours,

[tex]v=6(4)^2+10(4)=136\ km/h[/tex]

Acceleration of the particle is given by :

[tex]a=\dfrac{dv}{dt}\\\\a=\dfrac{d(6t^2+10t)}{dt}\\\\a=12t+10[/tex]

At t = 4 hours,

[tex]a=12(4)+10=58\ km/h^2[/tex]

Therefore, the displacement, velocity and acceleration at t = 4 hours is 205 km, 136 km/h and 58 km/h² respectively.