How many tablespoons would you need if a recipe called for 1 ½ cups of flour?

Answer:

Step-by-step explanation:

3x² -2 =3*(-3)²-2=3*9 - 2

         = 27 - 2

        = 25

Answer:

The distance between 2 points is 16.1 units.

Step-by-step explanation:

You have to apply distance formula using coordinates,

[tex]distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

Let (x1,y1) be (-6,2),

Let (x2,y2) be (8,10)

[tex]distance = \sqrt{ {(8 - ( - 6))}^{2} + {(10 - 2)}^{2} } [/tex]

[tex]distance = \sqrt{196 + 64} [/tex]

[tex]distance = \sqrt{260} [/tex]

[tex]distance = 2 \sqrt{65} [/tex]

[tex]distance = 16.1 \: units \: (3s.f)[/tex]

Step-by-step explanation:

x^2 -14x + 45 =0

look for two numbers that their :

sum= - 14 (-5 & -9)

products = 45 (-5 & -9)

so,

(x-5)(x-9)=0

thus,

x=5, x=9 (ANS)

Step-by-step explanation:

The answer is A

Bcz In a race runs faster whoever does it in less time

Answer: Because each leaf will not have a single digit.  

Step-by-step explanation:

Step-by-step explanation:

a) There are 4 Queens in a deck, so the probability the first card is a Queen is 4/52 = 1/13.

There are 4 10s in a deck, so the probability the second card is a 10 is 4/52 = 1/13.

The probability of both events is 1/13 × 1/13 = 1/169.

b) There is 1 Queen of Hearts in a deck, so the probability the first card is a Queen of Hearts is 1/52.

There are 4 8s in a deck, so the probability the second card is a 8 is 4/52 = 1/13.

The probability of both events is 1/52 × 1/13 = 1/676.

c) There are 4 Jacks in a deck, so the probability the first card is a Jack is 4/52 = 1/13.

There are 4 Jacks in a deck, so the probability the second card is a Jack is 4/52 = 1/13.

The probability of both events is 1/13 × 1/13 = 1/169.

d) There is 1 5 of Spades in a deck, so the probability the first card is a 5 of Spades is 1/52.

There is 1 Ace of Hearts in a deck, so the probability the first card is a Ace of Hearts is 1/52.

The probability of both events is 1/52 × 1/52 = 1/2704.

Answer:

60 copies

Step-by-step explanation:

Answer: 60 copies

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

313756 is not divisible by 9 .

Easy way to find it out. - 313756

3+1+3+7+5+6 = 25

25 is not divisible by 3...so , it is not divisible by 9 too

Hope it helps you

Answer:

x = - 2, x = 7

Step-by-step explanation:

Given

f(x) = 4x² - 20x - 56

To find the zeros let f(x) = 0, that is

4x² - 20x - 56 = 0 ( divide through by 4 )

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 7 = 0 ⇒ x = 7

Answer:

-37/68

Step-by-step explanation:

3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4

(21/2x+6)-(1/2+2)=(3/2x-3/8)-1/4

(21/2x-1/2x)+(6-2)=3/2x-3/8-1/4

10x+4=3/2x-5/8

37/8=-17/2x

37/8 (2)=-17/2x(2)

37/4=-17x

37/68=-x

-37/68=x

complete question:

A fountain is made up of two semicircles and a quarter circle. The diameter of the semicircles is 10 ft.  Find the perimeter of the fountain. Round your answer to the nearest tenth.  The picture is represented below.

Answer:

The perimeter of the fountain = 47.1  ft

Step-by-step explanation:

The fountain has 2 semi circle from a smaller circle with the diameter represented as 10 ft and a quarter circle from a bigger circle with the radius equals to 10 ft.

The perimeter is the distance around the fountain.The perimeter is the circumference in circular perspective. Therefore,

perimeter for a full circle = 2πr

Half circle = 2πr/2 = πr

For 2 half circle = πr + πr = 2πr

For 2 half circle = 2πr

r = 10/2 = 5

perimeter for 2 half circle = 2 ×  5 × 3.14 = 31.4  ft

Perimeter for the quarter circle

r = 10 ft

Quarter circle perimeter = 1/4 × 2πr = πr/2

Quarter circle perimeter = (3.14 × 10)/2

Quarter circle perimeter = (31.4)/2

Quarter circle perimeter = 15.7  ft

The perimeter of the fountain = 15.7  ft + 31.4  ft = 47.1  ft

Answer:

47.1

Step-by-step explanation:

47.1

please make me branlyest

Answer:

I'm sorry this is kind of a hard question

Answer:

I attached the work to your problem below.

I hope it helps.

Answer:

list the squares

1x1=1

2x2=4

3x3=9

4x4=16

16  the answer because 1+6=7

hope this helps if you have any questions you can ask

Step-by-step explanation:

Answer:

4's square number : 16

5's square number : 25

32's square number : 1024

40's square number : 1600

49's square number : 2401

50's square number : 2500

Step-by-step explanation:

I might have missed a few but ...

Answer:

[tex]|JK|=3\sqrt{3}[/tex]

Step-by-step explanation:

The diagram of the triangle is drawn and attached,

From trigonometric ratios,

[tex]cos \theta =\frac{Adjacent}{Hypotenuse} \\cos60^\circ =\frac{|JK|}{|JL|}\\ 0.5=\frac{|JK|}{6\sqrt{3} }\\$Cross multiply$\\|JK|=0.5*6\sqrt{3}\\|JK|=3\sqrt{3}[/tex]

Answer:

the proof is in the picture

Step-by-step explanation:

So each bottle of water costs $0.85

look at the attached picture

Hope it will help you..

Answer:

85 cents

Step-by-step explanation:

divide 5.10 by 6

Answer: - 24√2

Step-by-step explanation: i did the math this is what i got

Hello there!

x^2 - (1/x^2)

x = 3 - 2√2 -- (1)

1/x = 1/( 3-2√2 )

= ( 3 + 2√2 ) / (3 - 2√2 )(3+2√2 )

= ( 3 + 2√2 ) / 3² - ( 2√2 )²

3^2 = 9 and 2√2 ² = 8

= ( 3 + 2√2 ) / ( 9 - 8 )

= ( 3 + 2√2) -- (2)

x - 1/x = 3 - 2√2 - ( 3 + 2√2 )

= 6

= 3 - 2√2 - 3 - 2√2

= - 4√2

x² - 1/x² = ( x + 1/x ) ( x - 1/x )

= 6 × ( - 4√2 )

6 x ( -4√2 ) = -24√2

The plot Line plot shows a number line from 10 to 15 which is divided into 20 equal parts. 1 dot on 10.5, 3 dots on 11.25, 1 dot on 12, 1 dot on 12.5, and 1 dot on 14.125 is given to represent the data correctly.

Linda is making a line plot of the data below.

11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12.

The measurements 12 inches equals 1 foot

The line plot shows a number line from 10 to 15 which is divided into 20 equal parts.

The dot on 10.5, 3 dots on 11.25, 1 dot on 12, 1 dot on 12.5, and 1 dot on 14.125 are given.

If we look, there's a point at 10.5, 3 points at 11.25, a point at 12, a point at 12.5, and finally a point at 14.125.

This covers all the data provided.

Therefore option A is correct.

To learn more about the data plot visit:

https://brainly.com/question/6592115

Answer:

I’m sorry I really can’t understand the answers but I think it’s a I did it on my test I have proof down there

Step-by-step explanation:

thanks hope it helps have a nice day

Answer:

C and E

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Because I said so

Answer: H = 30ft*cos(2*pi*t/48s + pi) + 38ft.

Step-by-step explanation:

We can use a trigonometric function to model this, let's use:

H = A*cos(w*t) +

where A is a constant, w is the frequency, t is time, and h is of the wheel, this is half the diameter plus the distance above the ground:

30ft + 8ft = 38ft.

A is equal to the radius of the wheel, or half the diameter, A = 60ft/2 = 30ft.

we know that the period is 48 seconds, this means that:

cos(w*0) = cos(w*48s) = 1

then w*48s = 2*pi

w = 2*pi/48s

so now function is:

H = 30ft*cos(2*pi*t/48s) + 38ft.

But we also know that, at t= 0, you must be at the bottom of the wheel, so we must ad a phase of pi to the cosine function

H = 30ft*cos(2*pi*t/48s + pi) + 38ft.

So now when t = 0, we have:

H(0) = 30ft*cos(0 + pi) + 38ft. = 8ft.

[tex]\rm H = 30cos \frac{2 \pi t}{48} + 38 \ ft.[/tex] is the obtained equation below model your height above the ground as a function of time.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Given data;

A is a constant,

ω is the frequency

t is the passage of time

h is the wheel's height,

d is the diameter

h = d/2

The equation for the SHM is found as;

y = Acosωt

For the given condition the equation is written as;

H = Acosωt

The distance above the ground;

30ft + 8ft = 38ft.

⇒cos(ωt)

⇒cos(w × 48) = 1

⇒ω×48s = 2π

⇒w = 2π/48s

The obtained function is;

[tex]\rm H = 30cos \frac{2 \pi t}{48} + 38 \ ft.[/tex]

We must add a phase of π to the cosine function since we also know that at time t=0, you must be at the bottom of the wheel.

So now when t = 0, we have:

[tex]\rm H(0) = 30ft\times cos(0 + \pi) + 38ft.\\\\\ H(0) = 8 \ ft.[/tex]

To learn more, about equations, refer;

https://brainly.com/question/10413253

#SPJ5

Answer:

The answer would be .39

Step-by-step explanation:

So first we have to know the eqation to finding the area of a semicircle, this would be:

2r x π  ÷ 2 (r stands for radius)

Ok so since our diameter is 2 we need to divide that in half to find our radius which we would then get .5

And then you we would fill in the blanks and make our eqaution :

2 x 0.5 x 3.14  ÷ 2 which would give us the answer of .39

i have no idea if this is right so pls lmk!

Answer:

[tex] 904.32 \: {yard}^{3} [/tex]

Step-by-step explanation:

[tex] V_{sphere} = \frac{4}{3} \pi {r}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times {6}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times 216 \\ \\ = \frac{4 \times 3.14 \times 216}{3} \\ \\ = \frac{2,712.96}{3} \\ = 904.32 \: {yard}^{3} [/tex]

Answer:

= 40

Step-by-step explanation:

A = 1/2bh

A = 1/2 x 10 x 8

A = 1/2 x 80

A = 40

Answer:

989 in^2

Step-by-step explanation:

The surface area of the larger cube is

SA = 5 s^2  because she will stain all the sides but the bottom one

SA = 5 * 11^2 = 5*121 = 605

The surface area of the smaller cube is

SA = 6s^2 since she will stain all sides

SA = 6* 8^2 =6*64 =384

Add both surface areas together

605+384

989

Answer:

989 square inches

Step-by-step explanation:

Let's start by finding the surface area of the bottom cube. It has six sides with side length 11, meaning that each side has area 11^2=121. Multiplying this by 5(since she's not staining the bottom), you get 605. For the second sphere, you can calculate this with the expression 6 * 8^2=384. Adding these together, you get a total surface area of 989 square inches. Hope this helps!

Answer:

The value of the snack bar is $ 2 and that of the magazine subscription is 25 $

Step-by-step explanation:

We have a system of two equations and two unknowns, which would be the following:

let "x" be the cost of the snack bar

Let "y" be the cost of the magazine subscription

16 * x + 4 * y = 132

20 * x + 6 * y = 190 => y = (190 - 20 * x) / 6

replacing:

16 * x + 4 * (190 - 20 * x) / 6 = 132

16 * x + 126.66 - 13.33 * x = 132

2.66 * x = 132 - 126.66

x = 5.34 / 2.66

x = 2

for "y":

y = (190 - 20 * 2) / 6

y = 25

Which means that the value of the snack bar is $ 2 and that of the magazine subscription is 25 $

Answer:

1. Add 5 to both sides

2. Divide both sides by 2

3. Take the square root of both sides

4. Subtract 2 from both sides

Step-by-step explanation:

2(x+2)²-5=93

Add 5 to both sides

2(x+2)²=98

Divide both sides by 2

(x+2)²=49

Square root both sides

x+2=7

Subtract 2 from both sides

x=5

Answer:

Let's solve the equation. To do this, we have to get x by itself. Perform the opposite of what is being done to the equation.

1. Add 5 to both sides, since 5 is being subtracted

2(x+2)^2-5=93

2(x+2)^2-5+5=93+5

2(x+2)^2=93+5

2(x+2)^2=98

2. Divide both sides by 2, since 2 is being multiplied

2(x+2)^2=98

2(x+2)^2/2=98/2

(x+2)^2=49

3. Take the square root of both sides, since x+2 is being squared

(x+2)^2=49

√(x+2)^2=√49

x+2=√49

x+2=7

4. Subtract 2 from both sides since 2 is being added

x+2=7

x+2-2=7-2

x=7-2

x=5

Answer:

y-4=3(x-1) A is correct

Step-by-step explanation:

y−y1=m(x−x1) Point slope form

y-4=3(x-1)

Hope this helps! Please mark brainliest :)