Suppose an ice cream cone is 10 cm deep with a diameter of 4cm. How much ice cream can fit into the cone without it overflowing?

Answer:

(x + 9)(x - 1)

Step-by-step explanation:

First, set the equation equal to zero by subtracting 4 from both sides:

x² + 8x - 5 = 4

x² + 8x - 9 = 0

Then, find two factors of -9 that add to 8.

These factors are the numbers 9 and -1.

Then, using these factors, put the equation in factored form:

x² + 8x - 9 = 0

(x + 9)(x - 1) is the factored equation

Answer:

1/2 yard is equal to 18 inches

Step-by-step explanation:

Answer:

do u have pics?

Step-by-step explanation:

The equation is represented by the table is y= 4x - 1.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the table

 x    y

 1    3

-1    -5

 2    4

-3   -7

Now, using the above table we can write the equation

(y - 3) = (-5-3)/ (-1-1)  (x- 1)

y - 3 = (-8) / (-2) (x -1)

y - 3 = 4 (x - 1)

y - 3 = 4x - 4

y = 4x - 4 +3

y= 4x - 1

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Answer:

The answer is -70

Step-by-step explanation:

How I got the answer.....

-21-49 = -70

Hope this helps! :)

Answer:

the answer is 4!!!!!!!!!!!!!!

Answer:

4

Step-by-step explanation:

LOL

Answer: 28 hours and 5 min

Step-by-step explanation:

So there are 60 min in hour so the fourmula would be 60x=1683 and when you solve you get 28.05

Answer:

Dude First show the pie chart

Mrs. Yusuf spend the most money on Food.

Given is pie chart showing the information about the money Mrs. Yusuf spent on petrol, on clothes, on food and on other items,

We need to identify the portion which tell that she spend the most money on that item,

So, we know that the more portion one item has on the pie chart the more she had spend on that item,

Here in the pie chart we can see the food portion is largest.

So, we can say she spend her most money on food items.

Hence the correct answer is Food.

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The third is true

ok bye

lm'iranian

11years old

Answer:

you're right!! its C

Step-by-step explanation:

For lines to be perpendicular, the multiplied slopes of the line need to be -1, so

y=1/3x-1

y=-3x-4

(1/3)*(-3)=-1

therefore, they are perpendicular

143 because 180-37 is 143

Answer: It is linear

Answer:

[tex]d = 340.7m[/tex]

Step-by-step explanation:

See attachment for question illustration

From the attachment, we have:

[tex]AB = 125m[/tex]

[tex]<A = 41.6[/tex]

[tex]<B = 124.3[/tex]

Required

Solve d

First, we need to calculate <C

[tex]<A + <B + <C = 180[/tex] --- angles in a triangle

[tex]41.6+ 124.3 + <C = 180[/tex]

[tex]165.9+ <C = 180[/tex]

Make <C the subject

[tex]<C = 180 - 165.9[/tex]

[tex]<C = 14.1[/tex]

Next, we apply Sine's law to solve for d

[tex]\frac{A}{Sin\ A} = \frac{B}{Sin\ B} =\frac{C}{Sin\ C}[/tex]

In this case:

[tex]\frac{d}{Sin\ 41.6} = \frac{125}{Sin\ 14.1}[/tex]

Make d the subject

[tex]d = \frac{125 * sin\ 41.6}{sin 14.1}[/tex]

[tex]d = \frac{125 * 0.66392621265}{0.24361501178}[/tex]

[tex]d = \frac{82.9907765812}{0.24361501178}[/tex]

[tex]d = 340.663639629[/tex]

[tex]d = 340.7m[/tex]

Hence, the base of the lake is approximately 340.7m

Answer:

384

Step-by-step explanation:

12 book stores and 32 copies of a book for each book store

12 times 32 = 384 books

Answer:

The sample statistics follows a standard normal distribution since the sample size are large enough.

Step-by-step explanation:

Given that:

First population:

Sample size [tex]n_1[/tex] = 49

Population standard deviation [tex]\sigma_1[/tex]  = 3

Sample mean [tex]\overline x _1[/tex]= 10

Second population:

Sample size [tex]n_2[/tex] = 64

Population standard deviation [tex]\sigma_2[/tex]= 4

Sample mean [tex]\overline x_2[/tex]= 12

The sample statistics follows a standard normal distribution since the sample size are large enough.

The null and alternative hypotheses can be computed as:

[tex]\mathbf{H_o:\mu_1=\mu_2}[/tex]

[tex]\mathbf{H_1:\mu_1\ne\mu_2}[/tex]

Level of significance  = 0.01

Using the  Z-test statistics;

[tex]Z = \dfrac{\overline x_1 - \overline x_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_2^2}{n_2}}}[/tex]

[tex]Z = \dfrac{10- 12}{\sqrt{\dfrac{3^2}{49} + \dfrac{4^2}{64}}}[/tex]

[tex]Z = \dfrac{-2}{\sqrt{\dfrac{9}{49} + \dfrac{16}{64}}}[/tex]

[tex]Z = \dfrac{-2}{\sqrt{0.18367 +0.25}}[/tex]

[tex]Z = \dfrac{-2}{\sqrt{0.43367}}[/tex]

[tex]Z = \dfrac{-2}{0.658536}[/tex]

Z = - 3.037

Z [tex]\simeq[/tex] - 3.04

The P-value = 2P (z < -3.04)

From the z tables

= 2 × (0.00118)

= 0.00236

Thus, since P-value is less than the level of significance, we fail to reject the null hypotheses [tex]H_o[/tex]

Final Answer: [tex]4.69[/tex]

Steps/Reasons/Explanation:

Step 1: You will need to find the perfect square root of a number that is less than [tex]22[/tex]. So [tex]4^{2}[/tex] is [tex]16[/tex].

Step 2: Write down the square root of [tex]16 = 4[/tex].

Step 3: Solve [tex]\frac{22 - 16}{4 * 2}[/tex] which is [tex]0.75[/tex].

Step 4: Add [tex]4 + 0.75 = 4.75[/tex], so [tex]\sqrt{22}[/tex] is approximately ≈[tex]4.7[/tex].

~I hope I helped you :)~

Answer:

Simplifying

5x = 95

Solving

5x = 95

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '5'.

x = 19

Simplifying

x = 19

Step-by-step explanation:

Answer:

6 cm, 8 cm, 12cm

Step-by-step explanation:

Answer:

10 + 5x

Explanation:

5 times a number x is going to be 5x.

The sum of 10 and 5x will be them added together which is 10 + 5x

Answer:

(-5,5)

Step-by-step explanation:  add the equations in order to solve first variable. put the value in the other equations to solve the remaining variables- math  way

Answer:

-2, 3/7, 1/2, 1.2

Step-by-step explanation:

Increasing == least to greatest in value.

-2 = -2

3/7 = 0.429

1/2 = 0.5

1.2 = 1.2

Answer:

40 centimeters

Step-by-step explanation:

Answer:

Say it out loud like 93/and 75 hundrenths you count the denominators place and since it has two you say hundrenths.

Answer:

93 3/4

Step-by-step explanation:

93.75 = 93.75/1

93.75/1 × 100/100 = 9375/100

9375 ÷ 25 / 100 ÷ 25 = 37/54

93 3/4

93.75 = 93 3/4

Answer:

21

Step-by-step explanation:

solved it

Answer:

the answer is y, I just took the test