Find x and y in the figure​

Answer:

[tex]x =2[/tex]

Step-by-step explanation:

Given

[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]

Required

Find x

We have:

[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]

Apply exponent rule

[tex]\log x\³+ \log5x =\log2^5-\log\frac{2}{5}[/tex]

[tex]\log x\³+ \log5x =\log32 -\log\frac{2}{5}[/tex]

Apply product and quotient rules of logarithm

[tex]\log (x\³* 5x) =\log(32 \div \frac{2}{5})[/tex]

[tex]\log (5x^4) =\log(80)[/tex]

Cancel log on both sides

[tex]5x^4 = 80[/tex]

Divide by 5

[tex]x^4 = 16[/tex]

Take 4th roots of both sides

[tex]x =2[/tex]

Answer:

the new surface Will be 1/4 pf the old surface

Step-by-step explanation:

because the surface with 7 in Is about 294 and with 3.5 (1/2 of 7) Is 73.5.

so 294:4 Is 73.5

excuse me for my bad English but I'm italian

Answer:

n=6 u=28/3

Step-by-step explanation:

system of equations

The number of used books sold will be 7 and that of the new book will be 9.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given

Number of used books = u

Number of new books  = v

In the first case;

12u + 4n =  136

In the second case;

28u + 4n = 248

By both equations,

u = 7 and n = 9

So the number of used books is 7 and the new is 9.

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We are required to find the volume of the object which comprises of a cylinder and a cone

The volume of the object is 108 in³

Volume of a cylinder = πr²h

π = 3

r = diameter / 2 = 4 in / 2 = 2 in

h = 8 in

Volume of a cylinder = πr²h

= 3 × (2 in)² × 8 in

= 3 × 4 in² × 8 in

= 96 in³

Volume of a cone = πr²h/3

= (3 × (2 in)² × 3 in) / 3

= (3 × 4 in² × 3 in) / 3

= 36 in³ / 3

= 12 in³

The volume of the object can be found by adding the volume of the cylinder and the volume of the cone

Total volume = Volume of a cylinder + Volume of a cone

= 96 in³ + 12 in³

= 108 in³

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Answer:

m=9n

Step-by-step explanation:

Linear equation, straight forward m=3n. Highlighted point is n=3 and m=9*3=27

The equation for the total money raised will be m = 9n.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that the drama club sells sweatshirts for $9 dollars each to raise money for their club.

From the table:-

The number of Sweatshirts               Money raised

       1                                                            9

       3                                                          27    

       4                                                           36

The equation will be written as:-

m = 9n

m = 9 x 1 = 9

m = 9 x 3 = 27

m = 9 x 4 = 36

Therefore, the equation for the total money raised will be m = 9n.

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Answer:

r = 100

6.5r = 650

Step-by-step explanation:

let r be resistors.

6.5r + r = 750

Simplify:

6.5r + r = 750

7.5r = 750

------   ------

7.5     7.5

   r = 100

100 × 6.5 = 650

One resistor is 100 ohms, and he other is 650 ohms.

Hope this helped.

The sum of two resistors in 750 ohms. One is 6.5 times the other. Find the size of each resistor in ohms.

According to the question, here we need to take a variable to find the size of each resistor then multiply 6.5 with the variable with the first one. For the second there is no change in the variable. Then adding them we get 750 ohms. Simplifying we get their respective size

Let us assume the other resistor's size be x

Here,

The First resistor's size is 6.5 times the other. Hence, the no. is 6.5x

Given that : the sum of two resistors in 750 ohms

FINDING SIZE :

First Resistor's Size = 6.5x = 6.5*100 = 650 ohms

Other Resistor's Size = x = 100 ohms

[Note : Symbol of ohm is Ω]

Answer:

a. 499

Step-by-step explanation:

a. factors of 1000 are 1,2,4,5,8,10,20,25,40,50,100,125,200,250,500.

the largest one is 500 and the smallest one is 1. So 500 - 1 = 499.

0,3 is the y-intercept (wich is always at x=0)

see screenshot for illustration.

you meant y-intercept, right?

Answer:

Does the answer help you?

Answer:

Step-by-step explanation:

Answer:

B. 50

Step-by-step explanation:

Central limit theorem is used to calculate the sampling distribution of the given case. The number of adults who are 25 years of age or above and not married is 20% of the samples selected. The standard deviation is 0.06 while the sample size should be 50 to conclude the results.

Answer:

To determine which number is greater, 0.5 or 0.14, you must determine which of the two has a higher ratio with respect to a whole number. Thus, since 0.5 is equal to 1/2 and 0.14 is equal to 7/50, 0.5 is the greater number.

Problem 5

Start with the 30-60-90 triangle template

If you divide all values in that template by 2, then you'll get the diagram shown below.

Notice that the ratio of adjacent over hypotenuse leads to sqrt(3)/2

So that diagram shows that cos(30) = sqrt(3)/2

===========================================================

Problem 6

Theta = 210 is between 180 and 270, which places the angle in quadrant Q3. This is in the southwest corner. In Q3, we have sine and cosine negative. They divide to make tangent positive

tan = sin/cos = negative/negative = positive

So tangent is positive in Q3

===========================================================

Problem 7

Cosine is an even function which means cos(-x) = cos(x) for all real numbers x.

So,

cos(170) = cos(-170)

Then we'll find a coterminal angle of -170 which involves adding on 360

-170+360 = 190

The angles -170 and 190 point in the exact same direction

This then means cos(170) = cos(-170) = cos(190)

Or in short, cos(170) = cos(190)

Answer:

First option

Remove 2 tiles

2

3x. + 63x + 9x + 189

Step-by-step explanation:

Use distributive law, in other words multiply the first bracket terms by the second bracket terms

if 2x + 3x = ? the question is incomplete or is it about traingle

Answer:

The smallest Number added to 367 to produse a result divisible by 3 is

(B) 2

EXPLANATION:

(A) 1

367 + 1 = 368

368 NOT DIVISIBLE BY 3

(B) 2

367 + 2 = 369

369 IS DIVISIBLE BY 3

Answer:

Hello,

Answer B

Step-by-step explanation:

A number is divisible by 3 if the sum of its digits is divisible by 3.

Since 3+6+7+=3*(1+2+2)+1

we need to add 2 to the number.

Answer B

Step-by-step explanation:

A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.

h=-16t^2+16t+320

Answer:

Step-by-step explanation:

Decreasing rate = 12% = 0.12

y = 2400 * (1- 0.12)^x = 2400*(0.88)^x

x = 8 years

[tex]y = 2400 *(0.88)^{8}\\\\= 2400*0.36\\\\= 863[/tex]

Answer:

as per my nowledge ans wud be b

as A means difference of highest and lowest

C means value appearing frequently

D means middle number or ascending or descending sequence

beainliest plz

Answer:

b

i dont want brainlist

Step-by-step explanation:

Answer:

eegwhwiwveejekjeevwhejecs

Point-slope form

y -24 = -4/5(x -0)

Find x when y is 0 (X-intercept)

0 -24 = -4/5(x -0)

-24 = -4/5x

x = -120/-4

x = 30

Answer: A. 30 minutes

Answer:

Write as a percent.0.6 = 0.60 = 60%

Answer:

Its 60 percentage

HAVE A GREAT DAY :)

Answer:

52.5

Step-by-step explanation:

Since ED ≈ AD, ∆AED is a isosceles triangle where <EAD and <AED has same angle measurement

Now, m<B = 105°, since ABCD is a parallelogram, <B = <D

so, m<ADC = 105° so, m<ADE = 180°-105° = 75°

Now, m<EAD+m<AED+m<ADE = 180°

or, m<AED+m<AED+m<ADE = 180°

or, x+x+75°=180°

or, 2x=180+75°

or, 2x=105°

or, x=52.5°

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

7x-2=-14

29-(-14)=43

hope this helps :)

Answer:

-b - 6

Step-by-step explanation:

4(1 - 2b) + 7b - 10

Apply the distributive property:

4(1 - 2b) + 7b - 10

(4)(1) + (4)(−2b) + 7b + (−10)

4 + (−8b) + 7b + (−10)

Combine like terms:

4 + −8b + 7b + −10

(−8b + 7b) + (4 - 10)

-b - 6

Answer:

-b - 6

Step-by-step explanation:

4 (1 - 2b) + 7b - 10

4 - 8b + 7b - 10

-b - 6

Answer:

So the amplitude is 7

The period is pi

The phase shift is negative pi/2

The midline is -3

Step-by-step explanation:

A trigonometric function is the same as

[tex]f(x) = a \cos(b(x + c)) - d[/tex]

Where a is the amplitude, 2 pi/ absolute value of b is the period, c is the phase shift, and d is the vertical shift or midline.

Given the function

[tex]7 \cos(2x + \pi) - 3[/tex]

The amplitude is 7, and the midline is -3. The period is

[tex] \frac{2\pi}{2} = \pi[/tex]

The phase shift is

[tex]2x + \pi = 0[/tex]

[tex]2x = - \pi[/tex]

[tex]x = - \frac{\pi}{2} [/tex]

So the amplitude is 7

The period is pi

The phase shift is negative pi/2

The midline is -3.

Answer:

3015.92894745 cm^3

Step-by-step explanation:

Formula for volume of cylinder(v)= πr^2h

Here,

r=8 cm

h=15cm

Now,

V=πr^2h=π8^2*15=π64*15=960π=3015.92894745 cm^3

[tex]2\pir = 1828 + 49 = [/tex]Hey Shona playing how much town