What are the solutions to the quadratic equation 4x^2 = 64?
A. x = −16 and x = 16
B. x = −8 and x = 8
C. x = −4 and x = 4
D. x = −2 and x = 2

Answer:

Step-by-step explanation:

F = ma

ma = F

a = F/m

Answer:

An unclosed shape or one with lines not straight.

Step-by-step explanation:

Answer:

I have provided a picture of the typical polygons so if an option doesn't look like this, then it's probably not a polygon. Also, polygons are any 2-d shape made with straight lines, so a circle or a 3D shape is wrong

Answer:

Step-by-step explanation:car 10 percent

Phone 1 percent

Clothes 5 percent

Charity 3.84 percent

Mac 0.4percent

Apple watch 0.2 percent

Hawaai trip 1.57 percent

Home 73 percent

Answer: its d

Step-by-step explanation:

Answer:

-7 and 3

-5 and 1

-3 and -1

They all give the same total i.e. -4

Answer:

-7 and 3

-5 and 1

-3 and -1

Step-by-step explanation:

The total is -4

Answer:

12a - 6b

Step-by-step explanation:

Given

8a + 3b + 4a - 9b ← collect like terms

= (8a + 4b) + (3b - 9b)

= 12a + (- 6b)

= 12a - 6b

Answer:

4y^2 + 12y + 9

Step-by-step explanation:

Unclear what your (2y + 3) represent.  If it's the length of one side of the square, please say so.

If that's the case, then the area of the square is (2y + 3)^2, or 4y^2 + 12y + 9, which is a trinomial.

Answer:

10

Step-by-step explanation:

Use the Pythagorean theorem: a^2+b^2=c^2 to find the hypotenuse

a=6

b=8

6^2+8^2=c^2

36+64=c^2

100=c^2

10=c

Hope this helps! :)

Answer:

10 cm.

Step-by-step explanation:

By Pythagoras:

BC^2 = 6^2 + 8^2

BC^2 = 100

BC = 10.

Answer:

a) 0

Step-by-step explanation:

Given that TRAP × 9 = PART and  T, R, A, P all have different integer values (that is their values are different). TRAP and PART are both made up of four integers digits, that means 1000 ≤ TRAP and PART ≤ 9999. This means that TRAP × 9 ≤ 10000. The value of R can be gotten from:

[tex]TRAP<\frac{10000}{9}<1112(rounding \ to \ the \ next \ whole \ number)[/tex]

T cannot be 0, therefore T= 1, Since their values are different, R cannot be equal to T, we get that R can only be 0

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]\frac{3}{5} \times 20[/tex]

[tex]\frac{60}{5}[/tex]

[tex]=12[/tex]

Answer:

12 students

Step-by-step explanation:

First make 3/5 into a percent or whole number because it's easier to solve that way. How do you do that? Divide it how it is, so 3/5 = 0.60. So 60% of her class has at least one pet.

Knowing this, we multiply 60% by 20 to know how many students are that 60% that have pets. So 0.6 x 20= 12

12 students have pets in Ms. Johnson's class

157 dollars per ticket

Show work

5 tickets times 18 dollars equals 90 dollars

875 minus 90 dollars in insurance equals 785

785 dollars divided by 5 tickets equals $157

Answer:

29 ounces

Step-by-step explanation:

1 pound equals to 16 ounces

Answer:

29 ounces

Step-by-step explanation:

1 pound is 16 ounces so 29 ounces is equal to 1.8 pounds.

Answer:

20.4 years

Step-by-step explanation:

The nper formula in excel comes handy in this scenario:

=nper(rate,pmt,-pv,fv)

Rate is the monthly rate of 5.4%/12

Assuming actual investment is $5,000 which is pv

The triple amount would be $5,000*3=$15,000 which is future value fv.

pmt is the regular cash flow the investment which is zero

=nper(5.4%/12,0,-5000,15000)= 244.68  months

Yearly it can be expressed as = 244.68/12  =20.39  years

When rounded to one decimal place it becomes 20.4 years

Answer:

see explanation

Step-by-step explanation:

The area (A) of the square = s² ( s is the measure of the side )

Here s = x + 2 and A = 7 , thus

(x + 2)² = 7 ← expand left side using FOIL

x² + 4x + 4 = 7 ( subtract 4 from both sides )

x² + 4x = 3 ← as required

Answer:

(x + 2)² = 7  

x² + 4x + 4 = 7  

x² + 4x = 3

Step-by-step explanation:

Answer:

Length of the string let out by Jim is 156.9 m.

Step-by-step explanation:

From the figure attached,

Jim observes the angle of elevation of the kite = 85°

And Patty observes the angle of elevation of the kite = 40°

Angle formed between the lines joining kite to Jim and Patty = 180° - (85 + 40)° = 55°

Distance between Jim and Patty = 200 m

Let the length of the string between Jim and the kite = x meters

By applying Sine rule in the triangle formed between Jim, Patty and the kite,

[tex]\frac{\text{Sin}55}{200}=\frac{\text{Sin}40}{x}[/tex]

x = [tex]\frac{200\times \text{Sin}40}{\text{Sin}55}[/tex]

x = 156.94 m

  ≈ 156.9 m

Therefore, length of the kite string from Jim and the kite is 156.9 m.

Answer:

B. -2/5

Step-by-step explanation:

Use the "rise over run method"

Do this by finding two points on the graph, then finding the distance between the two points. First find the vertical distance, then the horizontal. The direction represents whether the slope will be negative or positive. When it goes up, it'll be positive, down=negative. Right=positive, left=negative. Two negatives make a positive, but one positive and one negative make a negative.

Answer:

sqrt21/5

Step-by-step explanation:

You can solve this by taking advantage of the trigonometric identity of sin^2(x) + cos^2(x) = 1

So square sinθ to get, 4/25

Subtract that from one to get:

cos^2(θ) = 21/25

Take the square root to get:

cosθ = sqrt21/5

The value of cosθ = (√21)/ 5.

The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilize the sine function.

Given that the angle θ lies in Quadrant I.

That means all the value of in θ the first quadrant are positive from 0° to 90°.

Here sinθ =  2/5.
And we know cosθ = √(1-sin²θ )

So cosθ = √{1- (2/5)²}

⇒  cosθ = √{1- (4/25)}

⇒  cosθ = √{21/25)}

⇒  cosθ = (√21)/ 5

Therefore, cosθ = (√21)/ 5

To learn more about the sine function;

https://brainly.com/question/12015707

#SPJ2

Answer:

C 30

Step-by-step explanation:

g(t) = t^2-t

f(x) = 1+x

g(f(2)+3)

First find f(2)

f(2) = 1+2 = 3

g(f(2)+3) = g(3+3) = g(6)

g(6) = 6^2-6

      =36-6

      = 30

Answer:

This is because when you multiply the fraction what you get is 60/30. This is equal to the number of 2. So the volume is 2.

5/3 * 3/2 * 4/5

= 5*3*4 = 15*4 = 60

= 3*2*5 = 6*5 = 30

Volume = 5/3 x 3/2 x 4/5

5/3 x 3/2 = 15/6

15/6 x 4/5 = 60/30 = 2

Volume = 2 cubic units

The answers are A and D. Hope this helps!

Answer:

57 degree

Step-by-step explanation:

Using cos formula again~

So AB^2=BC^2+AC^2-2*BC*AC*cosC

AB= 25.15cm

BC^2=AB^2+AC^2-2ABACcosA

Cos A=0.55

A=56.58degree

Answer:

6 Celsius

Step-by-step explanation:

Initial temperature at 12pm is 0 Celsius.

Rises by 6 (add by 6).

[tex]0+6[/tex]

[tex]6[/tex]

Answer: B

Step-by-step explanation:

Let's solve the given equation. Then we can see which other equation has the same answer.

-5n+31=-14n-5

36=-9n

n=-4

We need to fina another equation that gives n=4 as the answer.

A. Incorrect

3-6n+3n=-3+4-4n

3-3n=1-4n

n=-2

B. Correct

[tex]\frac{11}{4} n+2=-3+\frac{3}{2}n[/tex]

[tex]\frac{5}{4}n=-5[/tex]

[tex]n=-4[/tex]

C. Incorrect

1=0.75n+3.25

-2.25=0.75n

n=-3

D. Incorrect

-1-22n=-20n-9

8=2n

n=4

Answer:

  see below

Step-by-step explanation:

In order by increasing number of angle marks, the vertices of the lower triangle are ...

  I H G

In the same order, the vertices of the upper triangle are ...

  H I E

Using these as the names of the triangles, we can write the congruence statement ...

  ΔIHG ≅ ΔHIE . . . . . matches the 2nd choice

Answer:

1. 276040 = 300000

2.£200

3. 20000km

Step-by-step explanation:

According to some reaserch,

To round to a significant figure:

1. look at the first non-zero digit if rounding to one significant figure

2. look at the digit after the first non-zero digit if rounding to two significant figures

3.draw a vertical line after the place value digit that is required

4. look at the next digit

5.if it's 5 or more, increase the previous digit by one

6.if it's 4 or less, keep the previous digit the same

fill any spaces to the right of the line with zeros, stopping at the decimal point if there is one

Answer:

Step-by-step explanation: boy do it

1-2 /23 46 me

Answer.

Step-by-step explanation: Whole numbers are written on cards and then placed in a bag. Pilar selects a single card, writes down the number, and then places it back in the bag. She repeats this 46 times.

Pilar calculates the relative frequency of each number card.

Outcome 1 2 3 4 5

Relative Frequency 0.05 0.35 0.26 0.13 0.21

Which statement about Pilar's experiment is true?

The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Pilar's experiment.

The outcomes appear to be equally likely, so a uniform probability model is not a good model to represent probabilities in Pilar's experiment.

The outcomes do not appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Pilar's experiment.

The outcomes appear to be equally likely, so a uniform probability model is a good model to represent probabilities in Pilar's experiment.

Answer: x > 3

Step-by-step explanation:

We have the inequality:

-4*(2*x - 7) < 10 - 2*x

We want to find the possible values for x.

first, we expand the left side.

-8x + 28 < 10 - 2x

now we want to have all the terms with x in one side and the terms without x in the other side.

-8x + 2x < 10 - 28

-6x < -18

now we divide both sides by -6, as we divide by a negative number, the direction of the inequality changes:

x > 18/6 = 3

x > 3

This means that x must be larger than 3.

Answer: 4 and 5

Step-by-step explanation:

4.89 is higher than 4 and lower than 5