Simplify the following expression

Answer:

the image shows reduction

Step-by-step explanation:

1.7

Answer:

0.5

Step-by-step explanation:

First divide 1.7 to 3.4 and then you get your answer

Hope this helps :)

Answer:

The cousin would be longer.

Step-by-step explanation:

4/5 = .8, and 3/4= .75, making the cousin longer at birth.

By using normal Distribution we found 15 women ran faster than Joan

The  average amount of variability in our data set is known as Standard Deviation.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

standard deviations from the mean is used to measure Z-score

If data point's score is identical to the mean score then the z score will be zero

 Standard deviations a score X is above or below the mean measures z-score measures

From z- table we find the p values respectively.

By given , Joan’s finishing time for the Bolder Boulder 10K race was 1.83 standard deviations faster than the women’s average for her age group.

So,  Z - score = 1.83

From z - table,

If  Z =1.83 , then p-value is 0.9591.

It means that Joan was faster than 95.91% of the participants and slower than 100-95.91 = 4.09% of the participants.

Since, There were 375 women who ran in her age group.

we computed that, 4.09% faster than Joan

Number of women run faster than Joan is, = 375/100*4.09= , nearly = 15

Thus, 15 women ran faster than Joan.

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Answer:

the answer you're looking for is 31

answer:

the total angle of a triangle is 180°

since all of the sides of the triangle are even, then it means that all the angles are also equal

180 divided by 3 (because theres 3 angles) = 60

since one of the interior angle of the triangle is 60, the congruent angle of x also equals to 60° and also 60+60+60=180 (straight line)

i made a little diagram above for you, i hope it helps you and goodluck!! :)

The value of angle x is 60° in the triangle.

Triangle is defined as the polygons of the three-sided and three-sided variety. The fundamental equation for a triangle's area is A = 1/2 b h, where b and h are the product of the triangle's base and height. All triangle shapes, including scalene, isosceles, and equilateral triangles, can be calculated using this formula.

The exterior angle of a triangle is equal to the sum of the interior angles at the other two vertices, and angle x is one of the triangle's exterior angles.

Given that all three angles in a triangle are equal and all three sides of the triangle are even, the total angle of the triangle is 180°.

Since one of the interior angles of the triangle is 60°, the congruent angle of x is also 60°, therefore 60+60+60=180. (straight line).

So, the value of x is 60°

Thus, the value of angle x is 60° in the triangle.

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Answer: 1000

Step-by-step explanation: since the number next to it is a seven and seven is closer to ten and ten is the first two digits of the answer. The answer is 1000.

Round the integer number 973 nearest hundred will be 1000.

The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.

The integer is given below.

⇒ 973

Round the number 973 nearest hundred.

If the tens place is more than 5, then the hundred places will be increased by one.

In the tens place is 7, then the number 9 is increased by one that is 10.

Round the integer number 973 nearest hundred will be 1000.

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Answer:

one variabk depends on another variable  to help

A function is a relation between two sets of variables such that one variable depends on another variable. We can represent different types of functions in different ways. Usually, functions are represented using formulas or graphs. There are four ways for the representation of a function

Algebraically= mathematical  model

Numerically=table of values or chart

Visually=continuous graph or scooter plot

Verbally=Word description

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Rotates and then translates 7 to the left.

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given the following question:

[tex]2\frac{7}{8} \div3\frac{5}{6}[/tex]

To find the answer we need to convert the mixed numbers into improper fractions, then we apply KCF (Keep, Change, Flip) to the equation and then we solve.

[tex]2\frac{7}{8} \div3\frac{5}{6}[/tex]
[tex]2\frac{7}{8} =8\times2=16+7=23=\frac{23}{8}[/tex]
[tex]3\frac{5}{6} =6\times3=18+5=23=\frac{23}{6}[/tex]
[tex]\frac{28}{8} \div\frac{23}{6}[/tex]

Apply KCF:
[tex]\frac{28}{8} \div\frac{23}{6}[/tex]
[tex]\frac{28}{8} \times\frac{6}{23}[/tex]
[tex]28\times6=168[/tex]
[tex]8\times23=184[/tex]
[tex]=\frac{168}{184}[/tex]

Simplify by reducing:
[tex]\frac{168}{184}[/tex]
[tex]=\frac{168}{184}\div46=\frac{3}{4}[/tex]
[tex]=\frac{3}{4}[/tex]

Your answer is "3/4."

Hope this helps.

Answer:

[tex](f\circ g)(8)=-3[/tex]

Step-by-step explanation:

Composite Function

Given f(x) and g(x) real functions, the composite function named [tex](f\circ g)(x)[/tex] is defined as:

[tex](f\circ g)(x)=f(g(x))[/tex]

For practical purposes, it can be found by substituting g into f.

The functions are defined as follows:

[tex]f(x)=x^2-4[/tex]

[tex]g(x)=7-x[/tex]

To find [tex](f\circ g)(8)[/tex], we evaluate g in x=8 and then apply the composition formula.

[tex]g(8)=7-8=-1[/tex]

[tex](f\circ g)(8)=f(g(8))[/tex]

[tex](f\circ g)(8)=f(-1)[/tex]

[tex](f\circ g)(8)=(-1)^2-4=1-4[/tex]

[tex]\boxed{(f\circ g)(8)=-3}[/tex]

Answer:

1. Square

A square has 4 side of equal lengths, and all right angles.

2. Triangle

A triangle has 3 sides and 3 angles. It could either be an isosceles, equilateral or obtuse triangle.

3. Rectangle

A rectangle has 4 sides. 2 are parallel and the other 2 are parallel. All angles are 90 degrees.

4. Trapezoid

This shape has 4 sides. Only 1 pair of sides is parallel. The other 2 sides are not parallel

5. Parallelogram

It has 4 sides, and both pair of opposite sides are parallel.

Answer: 20

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

[tex]x^2=8(8+42)\\\\x^2=8*50\\\\x=20[/tex]

~

Answer: 10.193

Step-by-step explanation:

Answer:

145/36

Step-by-step explanation:

(29/6) / (6/5) = 145/36

Answer:

29/6÷ 4(3/10)

145/36

Step-by-step explanation:

Step-by-step explanation:

I assume the boat is going straight out on the same horizontal line.

we have 2 right-angled triangles.

at point A

there is the ground distance from A to the lighthouse. which is 1390 ft.

then there is the height of the lighthouse.

and the line of sight from A to the lighthouse light.

the angle at A is 7°.

the angle at the bottom of the lighthouse is 90°.

therefore, the angle at the lighthouse light = 180 - 90 - 7 = 83°.

at point B

the ground distance from B to the lighthouse.

the height of the lighthouse again.

and the line of sight of B to the lighthouse light.

the angle at B = 4°.

the angle at the lighthouse bottom is again 90°.

therefore, the Angie at the lighthouse light is 180 - 90 - 4 = 86°.

we need the law of sine to solve this and find the missing side lengths.

a/sin(A) = b/sin(B) = c/sin(C)

with the sides and the correlated angles being opposite.

the first we need to do is finding the height of the lighthouse via triangle A, so that we can use it then also in triangle B.

1390/sin(83) = height/sin(7)

lighthouse height = 1390×sin(7)/sin(83) = 170.6705397... ft

now, we can use that in triangle B to get the ground distance to the lighthouse :

height/sin(4) = ground distance/sin(86)

ground distance = height×sin(86)/sin(4) =

= 2,440.702427... ft

the distance from A to B is the difference between that ground distance and the original distance of 1390 ft :

2,440.702427... - 1390 = 1,050.702427... ft ≈

≈ 1,051 ft

Answer:

C

Step-by-step explanation:

use Pythagorean theorem to get the missing side of the triangle as 12.

Find the area of the triangle and add ot to the area of the rectangle...so (9)(12)/2=54 for area of triangle + area of rectangle is (15)(12)=180. so 54 + 180 = 234

Answer:

y = 3/5 + 4

Step-by-step explanation:

Given Coordiantes:

(0,4) - Y-intercept

(5,7) - Coordinates

To make an equation, first find the slope.

[tex]m=\frac{rise}{run} =\frac{y}{x}[/tex]

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]m=\frac{7-4}{5-0}[/tex]

[tex]m=\frac{3}{5}[/tex]

In decimals:

[tex]m = 0.6[/tex]

Now convert to point slope.

[tex]y-y_{1} =m(x-x_{1} )[/tex]

[tex]y-4=\frac{3}{5} (x-0)[/tex]

In decimals:

[tex]y-4=0.6(x-0)[/tex]

Now convert to slope-intercept form.

Find the Equation of the Line:

[tex]y=mx+b[/tex]

by solving for y using the Point Slope Equation.

y = 3/5 + 4

Answer:

BRUHHHH IM WEAK

Step-by-step explanation:

no one is giving ash kash on here

Answer:

You get points by ansewing others questions on the app. The points are given to you through the app, the points are not real money. A user asking a question can choose how much points to give any one who answers their question.

Step-by-step explanation:

HOPE THIS HELPS!!!!!!!

Answer:

$4,637.50

Step-by-step explanation:

Answer:

[tex]y=Cx^2[/tex]

Step-by-step explanation:

Clearly, [tex]\frac{dy}{dx}[/tex] is a function of x, so we can eliminate the second option.

The slope field does not resemble a circle nor hyperbola, so we can eliminate the last two options.

This leaves us with [tex]y=Cx^2[/tex] as our general solution.

Answer:

The weighted average for the following score is   [tex]W = 85.72[/tex]

Step-by-step explanation:

From the question we are told that

  The worth of the lab score is  23% of  total grade  i.e 0.23

   The worth of each major test is 22.5% of the total grade  0.225

   The  worth of the final  exam is  32% of the total  grade 0.32

   The  score on lab is 85  

    The score on first major test is 95

    The score on the second major test is 91

     The score on the final exam is  76

Generally the weighted average is mathematically represented as

     [tex]W  =  [0.23 *  85 ]+ [0.225 * 95] +  [0.225 * 91 ]+ [0.32 *76  ][/tex]

=>  [tex]W = 85.72[/tex]

Answer:

the answer is b

Step-by-step explanation

Ratios are written as fractions:

The ratio of girls to boys would be girls / boys = 10/5 which can be reduces to 2/1

The ratio of boys to girls would be boys / girls = 5/10 which can be reduced to 1/2

Answer:

a) 2/44 = 0.045

b) 9/22 = 0.409

Step-by-step explanation:

a) The probability the first can is diet soda is 3/12.

The probability the second can is diet soda is 2/11.

The probability of both is (3/12) (2/11) = 2/44 ≈ 0.045.

Alternatively, you can use combinations:

₃C₂ × ₉C₀ / (₁₂C₂) = 2/44

b) If the first can is diet soda, and the second can isn't, the probability is (3/12) (9/11) = 9/44.

If the first can isn't diet soda, and the second can is, the probability is (9/12) (3/11) = 9/44.

The total probability is 9/44 + 9/44 = 9/22 ≈ 0.409.

Alternatively, using combinations:

₃C₁ × ₉C₁ / (₁₂C₂) = 9/22

Let's factor out

[tex]\\ \rm\Rrightarrow 64m^2-9n^2[/tex]

[tex]\\ \rm\Rrightarrow (8m)^2-(3n)^2[/tex]

[tex]\\ \rm\Rrightarrow (8m-3n)(8m+3n)[/tex]

Done

Answer:

90 - ( -4 ) and 90 + 4

Step-by-step explanation:

I got it correct on the test :)

Answer:

3/25

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

1) E and S

2) Pentagon

3) No, No, Yes

4) Infinite

5)

a. 4, 90°

b. 4 plates

c. Yes, see attachment.

My apologies if the picture isn't very neat/clear.

Step-by-step explanation:

[tex]1) \: e \: and \: s \\ 2) \: pentagon \\ 3) \: no \: no \: yes \\ 4)infinite \\ 5)4 \: \: \: \: \: . \: 90 \\ b) \: uplates \\ c) \: yes \: see \: attachment[/tex]

# Jerry Don is here#

Answer:

a. 7:05 am

b. 7:00 am

c. 6:55 am

d. 6:50 am

e. 6:49 am