All categories

1 year ago

What is the solution for the equation 2⋅7^x = 43.86

Mathematics

1 answer:

skelet666 [1.2K]1 year ago

3 0

$x = log_{2.7}(43.86)$

♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡

You might be interested in

Please help!! 50/25 points!! Compute the sum

AfilCa [17]

Answer:

3577

Step-by-step explanation:

From the question given above, the following data were obtained:

7•2ᶦ

i = 0, 1, 2, .., 8

Sum =?

The sum can be obtained as follow:

7•2ᶦ

i = 0

7•2⁰ = 7 × 1 = 7

i = 1

7•2ᶦ = 7•2¹ = 7 × 2 = 14

i = 2

7•2ᶦ = 7•2² = 7 × 4 = 28

i = 3

7•2ᶦ = 7•2³ = 7 × 8 = 56

i = 4

7•2ᶦ = 7•2⁴ = 7 × 16 = 112

i = 5

7•2ᶦ = 7•2⁵ = 7 × 32 = 224

i = 6

7•2ᶦ = 7•2⁶ = 7 × 64 = 448

i = 7

7•2ᶦ = 7•2⁷ = 7 × 126 = 896

i = 8

7•2ᶦ = 7•2⁸ = 7 × 256 = 1792

Sum = 7 + 14 + 28 + 56 + 112 + 224 + 448 + 896 + 1792

Sum = 3577

4 0

2 years ago

Omar makes a total of $51.75 selling brownies and muffins at a bake sale if he sells 16 brownies for $2.25 each how many muffins

telo118 [61]

Answer:

He can make 9 Muffins

Step-by-step explanation:

16*2.25=36

51.75 - 36=15.75 Subtract the total number of selling he made by how much he made with the brownies

15.75/1.75=9 Divide the number you got after subtracting by by how many he is going to sell each of then

8 0

2 years ago

A contractor has submitted bids on three state jobs: an office building, a theater, and a parking garage. State rules do not all

german

Answer:

The following are the answer to this question:

Step-by-step explanation:

In the given question the numeric value is missing which is defined in the attached file please fine it.

Calculating the probability of the distribution for x:

$\to f(x) = 0.19\ for \ x=14\\\\\to f(x) = 0.29 \ for\ x=7\\\\\to f(x) = 0.38\ for \ x=1\\\\\to f(x)=0.14 \ for \ x=0\\$

The formula for calculating the mean value:

$\bold{ E(X)= x \times f(x)}$

$=14 \times 0.19+7 \times 0.29+1 \times 0.38+0\times 0.14\\\\=2.66 + 2.03+0.38+ 0\\\\=5.07$

$\bold{E(X^2) = x^2 \times f(x)}$

$=14^2 \times 0.19+7^2 \times 0.29+1^2 \times 0.38+0^2 \times 0.14 \\\\=196 \times 0.19+ 49 \times 0.29+1 \times 0.38+0 \times 0.14\\\\= 37.24+ 14.21+ 0.38+0 \\\\=51.83$

use formula for calculating the Variance:

$\to \bold{\text{Variance}= E(X^2) -[E(X)]^2}$

$= 51.83 - (5.07)^2\\\\= 51.83 - 25.70\\\\=26.13$

calculating the value of standard deivation:

Standard Deivation (SD) = $\sqrt{Variance}$

$= \sqrt{26.13} \\\\=5.111$

6 0

3 years ago

Why do translations produce parallel lines?

BigorU [14]

Answer:

Step-by-step explanation:

The slopes are not changed.

See the picture of the 2 graphs. The slopes are the same,, but the y intercepts are different, so the lines are parallel.

5 0

1 year ago

Which congruency theorem can be used to prove that △ABD ≅ △DCA? SSS ASA SAS AAS

NISA [10]

Answer:

SAS

Step-by-step explanation:

Given: Two triangles ΔABD and ΔDCA,

We have, AD=AD (common)

∠A=∠A (Given)

BA=CD (Sides opposite to equal angles are always equal)

With the SAS rule of congruency,

ΔABD≅ΔDCA

3 0

2 years ago

Read 2 more answers