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photoshop1234 [79]

3 years ago

5

OLYMPICS The first Olympics were held in Greece more than 7 × 7 × 7 × 7 years ago. Write this product using an exponent. Then fi

nd its value.

2 answers:

Tom [10]3 years ago

7 0

Answer:

7^4 = 2,401

Step-by-step explanation:

7^4 = 2,401

Margarita [4]3 years ago

4 0

Answer:

7 ^ 4

Step-by-step explanation:

7 ^ 4 = 2401

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Can somebody help me????

ddd [48]

$f(x)=5x^2-3\\\\\\
f(x+a)=5(x+a)^2-3=5(x^2+2ax+a^2)-3=\\\\=\boxed{5x^2+10ax+5a^2-3}$

On the other hand:

$f(x+a)=5x^2+30x+42$

so:

$10ax=30x\\\\10a=30\qquad|:10\\\\\boxed{a=3}$

Answer C.

8 0

4 years ago

The force in Newtons acting on a particle located x meters from the origin is given by the function F(x)=12x2+7. What is the wor

Shkiper50 [21]

$W = \displaystyle \int^{5}_{2} F(x) ~ dx\\\\\\= \displaystyle \int^{5}_{2} \left(12x^2 +7\right) ~dx\\\\\\= 12\displaystyle \int^{5}_{2} x^2 ~dx + \displaystyle \int^{5}_{2} 7~ dx\\\\\\=12 \left[\dfrac{x^3}3 \right]^{5}_{2} + 7\left[x\right]^{5}_{2}\\\\\\=4(5^3-2^3) + 7(5-2) = 468 + 21 = 489~ J$

5 0

2 years ago

a recipe for pie crust calls for 2/3 cups of flour. a chef is making 1/2 of the recipe. how much flour should the chef use?

natka813 [3]

Answer:

1/3 cups of flour

Step-by-step explanation:

The recipe originally calls for 2/3 cups of flower. However, if the chef only wants to make <u>half</u> of the recipe, we must divide the original recipe by 2. Dividing by 2 is the same as multiplying by 1/2.

2/3 * 1/2 = 2/6 (multiply across)

Simplify 2/6 - 1/3.

8 0

4 years ago

Read 2 more answers

Helwp please thank uuu!

Minchanka [31]

Step-by-step explanation:

<h3><em><u>Given</u></em><em><u>,</u></em></h3>

GRAM is a parallelogram
m<GMA = 66°
m<GRP = 32°
m<PAM = 41°

<h3><em><u>Solutions</u></em><em><u>:</u></em></h3>

i) <em>Since</em><em>,</em>

Angles on the same side of a transversal in a parallelogram, there sum is 180° so,

<RGM + <GMA = 180°

=> <RGM = 180° - <GMA

=> <RGM = 180° - 66°

=> <em><u><RGM = </u></em><em><u>114</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

ii) <em>Since</em><em>,</em>

Opposite angles of a diagonal as a transversal (here RM) are equal so,

<em><GRP = <PMA = 32°</em>

As we have <GMA = 66° so,

=> <GMP = <GMA - <PMA

= 66° - 32°

=> <em><u><</u></em><em><u>GMP</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>34</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

iii) <em>Since</em><em>,</em>

Opposite angles of a parallelogram are equal so,

<em><</em><em>RGM</em><em> = <</em><em>RAM</em><em> = </em><em>114</em><em>°</em>

As we have <PAM = 41° so,

=> <GAR = <RAM - <PAM

= 114° - 41°

=> <em><u><</u></em><em><u>GAR</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>73</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

iv) <em>Since</em><em>,</em>

We got <PMA = 32° and <PAM = 41°, so by angle sum property of a triangle PMA,

=> <MPA = 180° - 32° - 41°

=> <em><u><</u></em><em><u>MPA</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>107</u></em><em><u>°</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

7 0

2 years ago

Look at this triangle work out length bc

Natali [406]

Answer:

perpendicular = 10.24 cm

Step-by-step explanation:

by pythagorus theorem,

$h {}^{2} = b {}^{2} + h {}^{2}$

( where, h = hypotenuse, b = base,

p = perpendicular )

so,

=》

$13 {}^{2} = 8 {}^{2} + p {}^{2}$

=》

$169 = 64 + p {}^{2}$

=》

$169 - 64 = p {}^{2}$

=》

$p = \sqrt{105}$

perpendicular = 10.24 ( root 105 )

3 0

3 years ago