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3 years ago

0.07 is 10 times as great as

Mathematics

2 answers:

Phoenix [80]3 years ago

5 0

0.07 is 10 times greater than 0.007

dem82 [27]3 years ago

3 0

Answer: The required number is 0.007 and so we can say that "0.07 is 10 times as great as 0.007".

Step-by-step explanation: We are given to find a number such that 0.07 is 10 times as great as that number.

Let the required number be represented by x.

Then, according to the given information, we have

$0.07=10\times x\\\\\Rightarrow x=\dfrac{0.07}{10}\\\\\Rightarrow x=0.007.$

Thus, the required number is 0.007 and so we can say that "0.07 is 10 times as great as 0.007".

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PLEASE HELP ME JUST NEED TO ANSWER A OR B OR BOTH IF U WANT

Solnce55 [7]

Answer: Part A - 113°

Step-by-step explanation:

A. 6x-5 = 5x+7 -> x = 12

6x-5 -> 6(12)-5 = 72-5 = 67

180-67 = 113

6 0

3 years ago

What is the probability that a person who is above 35 years old has a hemoglobin level of 9 or above?

lorasvet [3.4K]

Answer:

Option C. $P=0.531$

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

Let

x------> size of the event space (total person's hemoglobin level of 9 or above with age above 35 years)

y-----> size of the sample space (total person's age above 35 years)

$P=\frac{x}{y}$

In this problem we have

$y=162$

Complete the table to find the total person's hemoglobin level of 9 or above (person's age above 35)

Let

y------> total person's hemoglobin level between 9 and 11 (person's age above 35)

$y+76+40=162$

$y=46$

Find the value of x

$x=46+40=86$

substitute the values

$P=\frac{86}{162}=0.531$

4 0

3 years ago

Read 2 more answers

6. This solid is a composite of a cube and square pyramid. The base of the solid is the base of the cube. Find the surface area

Sergio039 [100]

Answer:

960 ft^2

Step-by-step explanation:

There are 9 surfaces forming the solid.

5 of them are congruent squares and 4 of them are congruent triangles.

area of square = (side)^2

area of triangle = (base)(height)/2

total surface area = 5 * area of square + 4 * area of triangle

A = 5 * (12 ft)^2 + 4 * (12 ft * 10 ft)/2

A = 5 * 144 ft^2 + 4 * 60 ft^2

A = 720 ft^2 + 240 ft^2

A = 960 ft^2

3 0

2 years ago

Find the equation of the tangent line to the curve (a lemniscate)

olya-2409 [2.1K]

Answer:

$m=\frac{9}{13}$ and $b=\frac{40}{13}$

Step-by-step explanation:

The equation of curve is

$2(x^2+y^2)^2=25(x^2-y^2)$

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

$2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})$

$4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})$

The point of tangency is (-3,1). It means the slope of tangent is $\frac{dy}{dx}_{(-3,1)}$ .

Substitute x=-3 and y=1 in the above equation.

$4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})$

$40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})$

$-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}$

$80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240$

$130\frac{dy}{dx}=90$

Divide both sides by 130.

$\frac{dy}{dx}=\frac{9}{13}$

If a line passes through a points $(x_1,y_1)$ with slope m, then the point slope form of the line is

$y-y_1=m(x-x_1)$

The slope of tangent line is $\frac{9}{13}$ and it passes through the point (-3,1). So, the equation of tangent is

$y-1=\frac{9}{13}(x-(-3))$

$y-1=\frac{9}{13}(x)+\frac{27}{13}$

Add 1 on both sides.

$y=\frac{9}{13}(x)+\frac{27}{13}+1$

$y=\frac{9}{13}(x)+\frac{40}{13}$

Therefore, $m=\frac{9}{13}$ and $b=\frac{40}{13}$ .

5 0

3 years ago

Convert the following values into scientific notation. Which one has the negative exponent.

REY [17]

Answer:

B has a negative exponent: 8 x 10^-7

A doesn't: 4.267 x 10^7

6 0

3 years ago