900 students attend Ridgewood Junior High School. 4% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?

Answer:

d^2/c^3

Step-by-step explanation:

write problem with negative exponent rule

(1/c^6 d^4)^1/2

combine 1/c^6 & d^4

(d^4/c^6)^1/2

use exponent rules to finish simplifying

d^2/c^3

Answer:

Diagonals linse

Step-by-step explanation:

Answer:

1375 miles

Step-by-step explanation:

0.20x+95=370

0.20x=275

x=1375

The midpoint of the given line segment with the given endpoints

(-3, 8) and (2, -4) is (-0.5, 2)

The formula for calculating the midpoint of coordinate is expressed as;

M(x, y) = (x₁+x₂/2, y₁+y₋/2 )

Given the coordinate points( -3, 8) and (2, -4)

Substitute

M(x, y) = (-3+2/2, 8-4/2)

M(x, y)= (-1/2, 4/2)

M(x, y) =(-0.5, 2)

Hence the midpoint of the given line segment with the given endpoints

(-3, 8) and (2, -4) is (-0.5, 2)

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The name of the metric system prefix are :  10^-6: micro , 1/100: centi , 0.001: milli, 1000: kilo

In mathematical exponents, prefixes are referred to as the alphabetic names related to the mathematical factors, such as 10⁻⁹:  it nano ,10⁻¹²: Pico and so on.In order to identify the prefixes of the metric system, we first convert from factor to exponent form.

such :

10^-6  is micro  

1/100 = 0.01x 10^2: centi

0.001 = 1x 10 ^-3 : milli

1000 =  1x 10^3 : kilo

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Write the name of the metric system prefix associated with each mathematical factor. Do not use any hyphens in your answers and do not abbreviate the prefixes. Spelling counts.

10^-6 ______________

1/100 ______________

0.001 _____________

1000 ______________

Answer:

First term = 53,

Step-by-step explanation:

a10 = a1 + (10 - 1)d so:

98 = a1 + 9*5

a1 = 98 - 45

    = 53,

Answer:

8(n+5)=5-n

Step-by-step explanation:

First it says "the product of". A product is formed when you multiply two numbers or expressions. The word "and" is used to divide the two items being multiplied. So "The product of 8 and ---" means that you are multiplying 8 and what ever follows the "and" in the problem, in this case it is "the sum of a number and 5". Since what follows the "and" is another expression, it would be written in parentheses. To this point we have: 8 * ( ?? ), where the ?? replaces the expression.

The words "the sum" means that we are adding two numbers or expressions. As with multiplication, "and" separates the two addends. The first addend in the sum is "a number" - thus we know it isn't another expression and that we need to use a variable, because we aren't told the number. You can choose any letter or figure for your variable name, so lets call it "n". The part following the "and" is the number 5. Putting it together results in (n + 5), which will now be combined with the 8 * in the product, resulting in 8 * (n + 5).

The next thing that comes in your problem is "results in". This means "is equal to" and may also be written "is". Mathematical replacement is "=". Following the "=" is another expression: "the difference between 5 and the number". A difference is subtraction and, again, the "and" represents the break between the two values. The first number is 5 the second number is "the number" meaning the same number as before, so we use the same variable. The "difference between 5 and the number" is written: 5 - n

Putting it all together: "The product of 8 and the sum of a number and 5results in the difference of 5 and the number." Translates into math as:

The value and the summation expression are 2 and -6 + 8

The expression is given as:

8 - 6

When expressed as a sum, the expression can be rewritten as

-6 + 8

When the expression is evaluated, we have

-6 + 8 = 2

Hence, the value and the summation expression are 2 and -6 + 8

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The value of given equation i.e. [tex]m^{3} -\frac{1}{m^{3} }[/tex] is [tex]\frac{63}{8}[/tex]

Given a equation i.e.[tex]\frac{m-1}{m}[/tex]=3 and asked  to calculate the value of the equation  [tex]m^{3} -\frac{1}{m^{3} }[/tex]

To calculate the value of   [tex]m^{3} -\frac{1}{m^{3} }[/tex] , Need to use various operations like subtraction and division)

Given .[tex]\frac{m-1}{m}[/tex]=3

⇒m-1=3m ( cross multiplies 3 and m)

⇒2m=-1( subtraction is used)

⇒m=-[tex]\frac{1}{2}[/tex]( division is used)

Thefore the value of m in the given equation i.e.[tex]\frac{m-1}{m}[/tex]=3 is -[tex]\frac{1}{2}[/tex]

⇒ [tex]m^{3} -\frac{1}{m^{3} }[/tex]

Here the value of m =-[tex]\frac{1}{2}[/tex]

Substituting the value of m in the given equation

⇒[tex](\frac{-1}{2} )^{3}[/tex]-[tex](-2)^{3}[/tex]

⇒[tex]\frac{-1}{8}[/tex]+8(addition is used)

⇒[tex]\frac{64-1}{8}[/tex]

⇒[tex]\frac{63}{8}[/tex]

Therefore, the value of the given equation i.e.  [tex]m^{3} -\frac{1}{m^{3} }[/tex] is [tex]\frac{63}{8}[/tex]

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Answer:

80

Step-by-step explanation:

[tex]\frac{24.5}{100} *x = 19.6\\x = 19.6 *\frac{100}{24.5} \\x = 80[/tex]

19.6 is 24.5% of 80

Answer:

24.5% of 80= 19.6

Step-by-step explanation:

24.5% of what number is equal to 19.6

24.5

____ x = 19.6

100 100

x = 19.6 x ____

24.5

= x =80

HOPE IT HELPS

Answer:

Graph A

Step-by-step explanation:

First, isolate the y variable and simplify

12 = 3x + 4y

-3x+12=4y

-(3/4)x+3=y

From here, you can tell that your graph has a negative slope and a y-intercept at 3.

Graph A is the only graph with a negative slope.

A function assigns the values. The output(y) of the function y=20x + 38 if the input is -9 is -142.

A function assigns the value of each element of one set to the other specific element of another set.

Given the function y=20x+38, therefore, if the input of the function is -9, then the output can be calculated by substituting the value of x as -9. Therefore, we can write the function as,

y = 20x + 38

y = 20(-9) + 38

y = -180 + 38

y = -142

Hence, the output(y) of the function y=20x + 38 if the input is -9 is -142.

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Answer:

41.666 =~41.67

Step-by-step explanation:

3a=125

a=125÷3

a=41.67

Answer:

41.667

Step-by-step explanation:

3a=125

a= 125/3

a=41.667

Answer:

The sum is negative because the number with the greatest value is negative.

Step-by-step explanation:

If the it's the same sign add, if not subtract.

8-3=5

keep the sign of the bigger number.

-5

Hope It Helps

Sorry If I'm Wrong

Answer: Yes

Step-by-step explanation:

The answer is negative. That is because you are adding three to negative 8.

Think about it. 8 is greater than three, right?

-8 + 3 = -5

You are bringing -8 closer to 0:

-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...

Bring -8 three spaces closer to 0. You get -5.

Hope this helps.

Answer:

n = 3p

Step-by-step explanation:

12n + 7p - 6n = 25p

12n - 6n +7p = 25p

12n - 6n = 25p - 7p

6n = 18p

[tex]n=\frac{18p}{6}[/tex]

n = 3p

The water level after the rainfall is 3.05m

The water level in colorado river is 2.55m below average

A larger rainfall happened and the water level rose by 0.8m

Therefore the water level after the rainfall can be calculated by adding the previous water level which is 2.55 by the new increase which is 0.8

= 2.55 + 0.8

= 3.05

Hence the water level after the rainfall is 3.05 m

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Answer:

240 miles

Step-by-step explanation:

Because it took 5 hours going 48 miles per hour, therefore 5 x 48 =240

Answer:

x² + (y + 3)² = 25

Step-by-step explanation:

the centre (C) of the circle is at the midpoint of the diameter.

using the midpoint formula

midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

with (x₁, y₁ ) = P (3, 1 ) and (x₂, y₂ ) = Q (- 3, - 7 )

C = ( [tex]\frac{3-3}{2}[/tex] , [tex]\frac{1-7}{2}[/tex] ) = ( [tex]\frac{0}{2}[/tex] , [tex]\frac{-6}{2}[/tex] ) = (0, - 3 )

the radius r is the distance from the centre to either P or Q

using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = C (0, - 3 ) and (x₂, y₂ ) = P (3, 1 )

r = [tex]\sqrt{(3-0)^2+(1-(-3)^2}[/tex]  

 = [tex]\sqrt{3^2+(1+3)^2}[/tex]

 = [tex]\sqrt{3^2+4^2}[/tex]

 = [tex]\sqrt{9+16}[/tex]

 = [tex]\sqrt{25}[/tex]

 = 5

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (0, - 3 ) and r = 5 , then

(x - 0 )² + (y - (- 3) )² = 5² , that is

x² + (y + 3)² = 25

The derivative of the function using the definition of derivative is 3.

The given function is g(t) = 3t.

We have to find the derivative of the function using the definition of derivative.

We know that,

Definition of derivative:-

The derivative of a function is the rate of change of the function's output relative to its input value.

Here,

Input value = t

Output value = g(t)

Given y = g(t), the derivative of g(t), denoted g'(t) (or dg(t)/dt), is defined by the following limit:

[tex]g'(t)= \lim_{h \to 0} \frac{g(t+h)-g(t)}{h}[/tex]

We have the function:-

g(t) = 3t

Hence, according to the data given in the question, we can write,

g'(t) =

[tex]\lim_{h \to 0} \frac{g(t+h)-g(t)}{h} \\\\ \lim_{h \to 0} \frac{3(t+h)-3(t)}{h}\\\\ \lim_{h \to 0} \frac{3t+3h-3t}{h}\\\\ \lim_{h \to 0} \frac{3h}{h}\\\\\lim_{h \to 0} 3[/tex]

g'(t) = 3

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No, Kareem is not correct because the ratio of 4:1 can never be equal to the ratio of 12:9.

Here,

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.

Because 4+8=12 and 1+8=9.

We have to find that Kareem is correct or not.

What is a ratio?

Ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.

Now,

Kareem says that the ratio 4:1 is equivalent to the ratio 12:9.

Calculate the ratio as;

12 / 9 = ( 3 x 4 ) / ( 3 x 3 ) = 4/3

So,

12 / 9 = 4 / 3

Hence, Kareem is incorrect because the ratio of 4:1 can never be equal to the ratio of 12:9.

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The expression c = 9.10 + 0.42(w-5) ; w > 5 will represent the cost c in terms of w, the total weight in pounds of a package weighing over 5 lbs.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Total cost below 5 lbs = base fee

Total cost over 5 lbs = base fee + additional 0.42/pound

Let's say the total cost is c and the total pounds is w

Then,

c = 9.10 + 0.42(w-5) ; w > 5

Here for w = 6 it will gives w - 5 = 6 - 5 = 1 lbs.

Hence "The expression c = 9.10 + 0.42(w) ; w > 5 will represent the cost c in terms of w".

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Answer:

VU = 120° , WX = 100°

Step-by-step explanation:

(7)

An inscribed angle is half the measure of its intercepted arc , or

the intercepted arc is twice its inscribed angle, then

arc TV = 2 × 30° = 60°

the diameter is TU then arc TU = 180°

the sum of the arcs in the circle = 360° , so

VU + TV + TU = 360°

VU + 60°  + 180° = 360°

VU + 240° = 360° ( subtract 240° from both sides )

VU = 120°

(8)

WY = 2 × 75° = 150°

WX + WY + YX = 360°

WX + 150° + 110° = 360°

WX + 260° = 360° ( subtract 260° from both sides )

WX = 100°

Answer:

x=-2, -6

Step-by-step explanation:

factor the expression

y=x^2+ 8x + 12

y= (x+2)(x+6)

set the equation equal to 0, since you are finding zeros, or solutions

0=(x+2)(x+6)

split the equation into two parts

0=(x+2) and 0=(x+6)

solve the equations

you should get 2 zeros

x=-2, -6

Answer:

b=7

Step-by-step explanation:

3-5b=-32

-5b=-32-3

-5b=-35

Divide both sides by -5

b=7

( I also had trouble with these kind of expressions)

Answer:

I'm pretty sure the answer is D

Step-by-step explanation:

I took the test

The sentence that contains a dangling modifier is D. Searching frantically, the homework was finally found and turned in.

A word or phrase that modifies a term that is not explicitly expressed in the sentence is known as a dangling modifier. A modifier provides a concept's definition, clarification, or more information.

A grammatical modifier that could be mistakenly understood as being connected to a word other than the one intended is known as a hanging modifier. A hanging modifier, which usually refers to a participle, has no subject.

Therefore, the sentence that contains a dangling modifier is Searching frantically, the homework was finally found and turned in.

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Answer:

y=-x-3

Step-by-step explanation:

Write in slope-intercept form, the equation is y=mx+b .

y=−x−3

(a) Differentiate [tex]s(t)[/tex] to get the velocity.

[tex]s(t) = \cos(t^2 - 1)[/tex]

Use the chain rule.

[tex]u = t^2 - 1 \implies \dfrac{du}{dt} = 2t[/tex]

[tex]s(u) = \cos(u) \implies \dfrac{ds}{du} = -\sin(u)[/tex]

[tex]\implies \dfrac{ds}{dt} = \dfrac{ds}{du} \dfrac{du}{dt} = \boxed{-2t\sin(t^2-1)}[/tex]

(b) Evaluate the derivative from (a) at [tex]t=0[/tex].

[tex]\dfrac{ds}{dt}\bigg|_{t=0} = -2\cdot0\cdot\sin(0^2-1) = \boxed{0}[/tex]

(c) The object is stationary when the derivative is zero. This happens for

[tex]-2t \sin(t^2 - 1) = 0[/tex]

[tex]-2t = 0 \text{ or } \sin(t^2 - 1) = 0[/tex]

[tex]t = 0 \text{ or } t^2 - 1 = n\pi[/tex]

(where [tex]n[/tex] is any integer)

[tex]t = 0 \text{ or } t = \pm\sqrt{n\pi + 1}[/tex]

We omit the first case. In the second case, we must have [tex]n\ge0[/tex] for the square root to be defined. Then in the given interval, we have two solutions when [tex]n=\in\{0,1\}[/tex], so the times are

[tex]t_1 = \sqrt{1} = \boxed{1}[/tex]

[tex]t_2 = \boxed{\sqrt{\pi + 1}} \approx 2.035[/tex]

(d) A picture is worth a thousand words. See the attached plot. If you're looking for a verbal description, you can list as many features of the plot as are relevant, such as

• intercepts (solve [tex]s(t)=0[/tex] to find [tex]t[/tex]-intercepts and evaluate [tex]s(0)[/tex] to find the [tex]s[/tex]-intercept)

• intervals where [tex]s(t)[/tex] is increasing or decreasing (first derivative test)

• intervals where [tex]s(t)[/tex] is concave upward or concave downward (second derivative test; at the same time you can determine any local extrema of [tex]s(t)[/tex], which you can see in the plot agrees with the critical points found in (c))