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3 years ago

What is the solution to the equation below round your answer to two decimal decimal places log4 x=2.1

Mathematics

2 answers:

Natali [406]3 years ago

4 0

Answer:

B 18.38

Step-by-step explanation:

log4x = 2.1

logx/log4 = 2.1

logx = log(4) x 2.1

logx = 1.2643

x = antilog(1.2643)

x = 18.38 (to 2 d.p)

worty [1.4K]3 years ago

4 0

Answer:

X=18.38

Step-by-step explanation:

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Stephen is testing the difference in means between time it takes to travel school in a bus and time it takes to travel to school

EastWind [94]

Answer:

Kindly check explanation

Step-by-step explanation:

To test for Difference in mean times

Null hypothesis, H0 will be, there is no difference in mean times ; m1 = m2

Alternative hypothesis, there is difference in mean times ; m1 ≠ m2

Decision region :

When p value < α ; reject the Null

Here. ;

Pvalue = 2% = 0.02

α = 1% = 0.01

Pvalue > α

0.02 > 0.01

Since, Pvalue > α ; we do not reject the Null ;

Hence, conclusion should be, there is no difference in mean times of bus and car

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3 years ago

Which point is a solution to the linear inequality y < x 2? (2, 3) (2, 1) (3, –2) (–1, 3)

gayaneshka [121]

Alternative $1$

we have

$y < x+2$

we know that

If a point is a solution of the inequality

then

the point must be satisfy the inequality

we're going to verify all the points.

case A) point $(2,3)$

Substitute the value of x and the value of y in the inequality

$x=2\ y=3$

$y < x+2$

$3 < 2+2$

$3 < 4$ ------> is true

therefore

The point $(2,3)$ is a solution of the inequality

case B) point $(2,1)$

Substitute the value of x and the value of y in the inequality

$x=2\ y=1$

$y < x+2$

$1< 2+2$

$1 < 4$ ------> is true

therefore

The point $(2,1)$ is a solution of the inequality

case C) point $(3,-2)$

Substitute the value of x and the value of y in the inequality

$x=3\ y=-2$

$y < x+2$

$-2< 3+2$

$-2 < 5$ ------> is true

therefore

The point $(3,-2)$ is a solution of the inequality

case D) point $(-1,3)$

Substitute the value of x and the value of y in the inequality

$x=3\ y=-2$

$y < x+2$

$3< -1+2$

$3 < 1$ ------> is not true

therefore

The point $(-1,3)$ is not a solution of the inequality

Alternative $2$

we have

$y < x-2$

we know that

If a point is a solution of the inequality

then

the point must be satisfy the inequality

we're going to verify all the points.

case A) point $(2,3)$

Substitute the value of x and the value of y in the inequality

$x=2\ y=3$

$y < x-2$

$3 < 2-2$

$3 < 0$ ------> is not true

therefore

The point $(2,3)$ is not a solution of the inequality

case B) point $(2,1)$

Substitute the value of x and the value of y in the inequality

$x=2\ y=1$

$y < x-2$

$1< 2-2$

$1 < 0$ ------> is not true

therefore

The point $(2,1)$ is not a solution of the inequality

case C) point $(3,-2)$

Substitute the value of x and the value of y in the inequality

$x=3\ y=-2$

$y < x-2$

$-2< 3-2$

$-2 < 1$ ------> is true

therefore

The point $(3,-2)$ is a solution of the inequality

case D) point $(-1,3)$

Substitute the value of x and the value of y in the inequality

$x=3\ y=-2$

$y < x-2$

$3< -1-2$

$3 < -3$ ------> is not true

therefore

The point $(-1,3)$ is not a solution of the inequality

4 0

4 years ago

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agasfer [191]

The missing height is 5 inches.

The height parallel to the missing height is 15, subtract 10 to find 5.

8 0

4 years ago

A sqware has an area of 49 sqware feet. A rectangle has an area of 24 sqware feet its lanth is 2 feet longer than its width witc

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

If the square has an area of 49 ft^2, then the length of one of its sides is

s = √(49 ft^2) = 7 ft, and its perimeter is P = 4(7 ft) = 28 ft.

As for the rectangle: let W and L represent the width and length, respectively. Then W*L = 24 ft^2 is the area. L = W + 2 ft. Therefore,

W(W + 2) = 24, or W^2 + 2W - 24 = 0, or (W +6)(W - 4) = 0. Thus, W = 4 ft.

The perimeter of this rectangle is P = 2W + 2L, or

P = 2(4 ft) + 2(6 ft) = 24 ft.

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4 years ago

A class of 25 students is making necklaces. The necklaces each have 30 beads. How many beads are needed for each student to make

Bess [88]

Answer:

I have no clue

Step-by-step explanation:

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3 years ago

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