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3 years ago

Need help with some questions:

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

3 0

Step-by-step explanation:

did question 4 for you :)

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11. Find the product: (50z + 20)(10z + 4) ( 1 ) 12. Find the product: (88a + 80)(8a + 8) ( 1 ) 13. Find the product: (40y + zy)(

Vika [28.1K]

Answer:

11. $500z^{2} +400z+80$

12. $704a^2 + 1344a + 640$

13. $160y^2 + 44zy^2 + z^2y^2$

Step-by-step explanation:

11. $(50z + 20)(10z + 4) = ?$

Using Formula:

$(a+b) (c+d) = a(c+d)+b(c+d)$

$50z(10z+4) + 20(10z + 4) = \\\Rightarrow 500z^{2} + 200 z+200z+80\\\Rightarrow 500z^{2} +400z+80$

12. $(88a + 80)(8a + 8) = ?$

Using Formula:

$(a+b) (c+d) = a(c+d)+b(c+d)$

$\Rightarrow 88a(8a+8) + 80(8a + 8)\\\Rightarrow 704a^2 + 704a + 640a + 640\\\Rightarrow 704a^2 + 1344a + 640$

13. $(40y + zy)(4y + zy) = ?$

Using Formula:

$(a+b) (c+d) = a(c+d)+b(c+d)$

$\Rightarrow 40y(4y + zy) + zy(4y + zy)\\\Rightarrow 160y^2 + 40zy^2 + 4y^2z + z^2y^2\\\Rightarrow 160y^2 + 44zy^2 + z^2y^2\\$

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3 years ago

Find the height of X. Having a hard time figuring this out

Delvig [45]

Use the pythagorean theorem:
$a^2 +b^2 = c^2$

where c is the hypotenuse of the triangle.

$x^2 +12^2 = 14^2 \\ \\ x^2 +144 = 196 \\ \\ x^2 = 52 \\ \\ x = \sqrt{52} = 2 \sqrt{13}$

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4 years ago

Factor the expression 36a+27+90d 35g+50 18u+81 I know it's a lot I'm sorry

never [62]

The answer to the question

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3 years ago

Flaky pastry can be made using flour and fat in the ratio 4 : 3. Jake makes some flaky pastry using 90 grams of fat. What weight

lubasha [3.4K]

Answer:

He use 120 grams of flour.

Step-by-step explanation:

Given:

Flaky pastry can be made using flour and fat in the ratio 4 : 3. Jake makes some flaky pastry using 90 grams of fat.

Now, to find the weight of flour he use in making flaky pastry.

Let the weight of flour be $x.$

Weight of fat = 90 grams.

The ratio of flour and fat used in making flaky pastry is 4 : 3.

As, 4 is equivalent to 3.

Thus, $x$ is equivalent to 90.

Now, to solve using cross multiplication method:

$\frac{4}{3} =\frac{x}{90} \\\\By\ cross\ multiplying\ we\ get:\\\\360=3x\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\120=x\\\\x=120\ grams.$

Therefore, he use 120 grams of flour.

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3 years ago

A large national company is considering negotiating cellular phone rates for its employees. the human resource department would

Rufina [12.5K]

Sample size=n=250
sample proportion=p=0.4
95% confidence interval so significance level α=1-0.95=0.05
So, α/2=0.025
z_( α/2)=1.960 (value taken from statistic z-table)
use formula;

p(+/-)z_(α/2)square root(p(1-p)/n)

(0.4-1.960 sq.root(0.4(1-0.4)/250), 0.4+1.960 sq.root(0.4(1-0.4)/250))
(-0.2073,0.4607) (estimation of population proportion)

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3 years ago