What are the solution to the equation below? 4x^2+ 9 = 25

Answer:

4/3

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}}[/tex]

From the law of exponent:

[tex]\displaystyle \large{a^{-\frac{1}{2}}=\dfrac{1}{\sqrt{a}}}[/tex]

Convert to the form above:

[tex]\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\sqrt{\dfrac{9}{16}}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{1}{\dfrac{3}{4}}}\\\displaystyle \large{\left(\dfrac{9}{16}\right)^{-\dfrac{1}{2}}=\dfrac{4}{3}}[/tex]

Therefore, the solution is 4/3

Answer:

Step-by-step explanation:

Isolate the term of x from one side of the equation.

First, add by 9 from both sides.

x-9+9=-21+9

Solve.

-21+9=-12

X=-12

Switch sides.

x+10=112

Subtract by 10 from both sides.

x+10-10=112-10

Solve.

112-10=102

X=102

Switch sides.

x-30=14

Add by 30 from both sides.

x-30+30=14+30

Solve.

x=44

Switch sides.

x-12=3

Add by 12 from both sides.

x-12+12=3+12

Solve.

Add the numbers from left to right.

3+12=15

x=15

I hope this helps you! Let me know if my answer is wrong or not.

Check the picture below.

Answer:

The Answer is 4

Step-by-step explanation:

Right on Acellus

have a great day!

:)

Answer: The chances of landing on blue are 1 in 4, or one fourth. The chances of landing on red are 1 in 4, or one fourth.

Step-by-step explanation:

Reduce 1/4 to lowest terms14 is already in the simplest form. It can be written as 0.25 in decimal form (rounded to 6 decimal places). Steps to simplifying fractions find the GCD (or HCF) of numerator and denominator GCD of 1 and 4 is 1 divide both the numerator and denominator by the GCD1 ÷ 14 ÷ 1 reduced fraction: 14Therefore, 1/4 simplified to lowest terms is 1/4.

Answer:

960 cm²

Step-by-step explanation:

Area of trapezoid: (a + b)(h)/2

A = (20 + 40)(32)/2

A = 60(32)/2

A = 1920/2

960 cm²

Answer:

8.5 hrs * 5 day work week = 42.5 hrs. But usually 0.5 hr per day is considered lunch and is usually not payed so theoretically the workweek is only 40 hrs per week (full time)

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

You can use the triangle area theorem-

15x4(/2)=30

Answer:

19.6

Step-by-step explanation:

According to the

Cosine Theorem

e² = d² + f² - 2dfcos /_E

°Cos 13° = 0.974

e² = (7.1) 2 + (26.5) 2-2 × 26 = 5 × 7.1 × 0.974

=752.66 - 366.516

= 386.14

e = 386.14 = 19.6

Answer:

0.45

3.25

Step-by-step explanation:

16.25 ÷ 5 = 3.25

15.25 - 3.25 × 4 = 2.25

2.25 ÷ 5 = 0.45

Check Answer:

3.25 × 5 = 16.25

0.45 × 4 = 2.25

3.25 - 2.25 = 1

16.25 - 1 = 15.25

~lenvy~

Answer:

[tex]tanA=\frac{12}{20}\\\\tanB=\frac{20}{12}[/tex]

Step-by-step explanation:

[tex]tan(theta)=\frac{Opp}{Adj}[/tex]

Unless you want to solve for A and B plug that into inverse calculator.

A = tan^-1 ( 12/20 ) = 31°

A = 31.0°

B = tan^-1 ( 20/12 ) = 59.0°

B = 59.0°

Answer: x= -2

Step-by-step explanation:

Answer:

D; y=125.3x2+257.8x+183.3

Step-by-step explanation:

I just took the test

have a good day! :)

Answer:

x = [tex]\sqrt{165}[/tex]

Step-by-step explanation:

Pythagorean Theorm: a^2 + b^2 = c^2

a^2 + b^2 = c^2

14^2 + x^2 = 19^2

196 + x^2 = 361

x^2 = 165

x = [tex]\sqrt{165}[/tex]

[tex]f(x)=a(b)^x \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{0}~~,~~\stackrel{y}{1})\qquad 1=a(b)^0\implies 1=a~\hfill \underline{f(x)=1(b)^x} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{2}~~,~~\stackrel{y}{25})\qquad 25=1(b)^2\implies 25=b^2\implies \sqrt{25}=b\implies 5=b \\\\[-0.35em] ~\dotfill\\\\ f(x)=1(5)^x\implies \underline{f(x)=5^x}[/tex]

Answer:

b = 5√3

Step-by-step explanation:

I would honestly just use pythag, but I'll use trig:

tanθ = opposite/adjacent

tan(30°) = 5/b

btan(30°) = 5

b = 5/tan(30°)

b = 5/(√3/3) = 15/√3

b = 15/√3 · (√3/√3) = 15√3/3

b = 5/√3

Check with pythag:

a² + b² = c²

5² + 5√3² = 10²

25 + 25(3) = 100

25 + 75 = 100  ✅

I hope this helps!

Answer:

Revenue=$6000

Step-by-step explanation:

A = PRT

100

A= (10,000×4×15)/100

= (10,000×60)/100

= 600,000/100

=$6000

Hideki recognizes a $17,490.06 revenue.

Revenue is the total amount of income generated by the sale of goods and services related to the primary operations of the business.

Given that on January 1, 2022, Hideki Matsuyama provides services in exchange for a $10,000 zero-interest bearing note due in 4 years, and the effective interest rate for a note of this type is 15 percent,

To determine how much revenue does Hideki recognize on January 1, 2022, the following calculation must be made:

x = 10000 x 1.15^4

x = 10000 x 1.749

x = 17490.06

Therefore, Hideki recognizes a $17,490.06 revenue.

Learn more about revenue in brainly.com/question/14695611

#SPJ3

Answer:

B

Step-by-step explanation:

A. 8 * x = 80

8 * 5 = 40. 40 is not 80, so it doesn't work.

B. x + 4 = 9

5 + 4 = 9. This works.

C. 10 ÷ x = 5

10 ÷ 5 = 2. 5 is not 2, so it doesn't work.

D. x - 6 = 1

5 - 6 = -1. 1 is not -1, so it doesn't work.

Answer:

I think so none

answer to the following steps below:-

I hope my answer helps.

Answer:

<(6/√85),(7/√85>

Step-by-step explanation:

Let vector o = 6i + 7j,

The magnitude, | o | = √(6²+7²) = √85

Unit vector, ô = (6i + 7j)/√85

= (6/√85)i + (7/√85)j

In component form, ô = <(6/√85),(7/√85>

Step-by-step explanation:

y - x = 4x (vertically opposite angles)

y = 5x

4x+ y+x = 180

5x+5x = 180

x = 18

y = 90

Answer:

5) A - slope is positive, b = 0

6) D - slope is negative, b = 1, function is linear

7) D - b = 0

8) C - slope is negative, b = negative

Step-by-step explanation:

Hope this helps!

Answer:

addition because it's in parentheses and following PEMDAS parentheses comes first so you do addition first.  

I hope you find this helpful :D

Answer:

(7+3)

After that you do (6+8)

Explanation:

Use PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

(receipt one)

burger = 9

18% tip = 2.16

total with tip = 14.16

(receipt two)

salad = 8

total = 11

total with tip = 12.98

(receipt three)

salad = 8

water = 1.5

total = 9.50

18% tip = 1.71

Step-by-step explanation:

calculator

Answer:

C 5.55

Step-by-step explanation:

253/60 = 4.21

80/60 = 1.33

4.21 + 1.33 = 5.55

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

  see attached

Step-by-step explanation:

The truth table technique shows the first proposition is True. However, the second proposition cannot be shown to be a tautology, because it isn't true.

__

The "equals" relation is commutative: (a=b) ≡ (b=a), hence the expression ...

  (p=q)∧(q=p)

is equivalent to

  (p=q)∧(p=q)

We know that the And of p with itself is just p, so that fact ensures the truth of ...

  (p=q)∧(p=q) = (p=q)

Hence

  (p=q)∧(q=p) = (p=q)

The top truth table in the attached shows the final comparison of the two expressions is true for all values of p and q.

__

The attached truth table shows that the given relation is not a tautology.

Answer: Choice A

Jackson likes earning rewards on his purchases.

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

Explanation:

Debit cards do not give out reward points for using them. Credit cards on the other hand do offer such a feature. So if Jackson wants reward points, he'll need to use a credit card. This is why choice A is the answer.

Choice B is ruled out because shopping locally could involve either type of card, or simply cash, depending the merchant's payment preferences. There's no incentive to use a credit card here.

Choice C is ruled out because a debit card is tied to a checking account. Blake making weekly transfers to this account seems to heavily imply he uses it a lot; therefore, he's likely using a debit card here.

Choice D is ruled out because Jena being careful with money would likely use a debit card. With debit cards, you use only the money in the checking account. No money is borrowed like with a credit card. This means there's no worry about going into debt when using a debit card.