Write the sentence as an equation.
u more than 178 equals p reduced by 309
Type a slash ( 1 ) if you want to use a division sign.
Submit

Answer:

The abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering ( applied mathematics )..

Ex :- Plus , minus

Mathematics is a very important field of study in human society that can be described as the study of:

Mathematics is a science and one that is constantly evolving to allow us better understand our surroundings.

There are several ways to study the subjects described above such as by applying them to things such as engineering and other sciences, or simply studying them on their own.

In conclusion, math is a science of numbers.

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Answer: D hope this helps

Using the range concept, it is found that the greatest element in the range of this relation is 9.

Hence, the range is: {0, 5, 8, 9}.

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Method used:-

Completing the square method.

Steps :-

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

Now, make the left hand side of the equation by adding the square of ½ to both sides of the equation.

[tex]x^{2}+x+\left(\frac{1}{2}\right)^{2}=\left(\frac{1}{2}\right)^{2} \\x^{2}+x+\frac{1}{4}=\frac{1}{4} \\\left(x+\frac{1}{2}\right)^{2}=\frac{1}{4} \\\sqrt{\left(x+\frac{1}{2}\right)^{2}}=\sqrt{\frac{1}{4}} \\[/tex]

Simplify the equation. You'll get a +ve & -ve value.

[tex]x+\frac{1}{2}=\frac{1}{2} \\x+\frac{1}{2}=-\frac{1}{2}[/tex]

Simplify it further.

[tex]\boxed{\sf\:x=0}\\ \boxed{\sf\:x=-1 }[/tex]

The solutions are :-

x = 0 & x = -1

______

Hope it helps ⚜

Answer:

$8,698.50

Step-by-step explanation:

289.95x30= $8,695.50

The amount that should deposit monthly is $164.98

The formula for calculating the compound amount is expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Substitute the given values into the formula to have:

[tex]75000=P(1+\frac{0.075}{12} )^{12(18)}\\75000 = P(1.00625)^{216}\\75000 =P(3.84125)\\P = \frac{75000}{3.84125}\\P= \$19,524.89[/tex]

Hence the amount of money they started with is $19,524.89.

Amount to deposit monthly = 19,524.89/120

Amount to deposit monthly = $164.98

Hence the amount that should deposit monthly is $164.98

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Answer:

11

Step-by-step explanation:

(f/g)(5)=

f(5)=(5)2+1÷g(5)=5-4

10+1/1

11/1

(f/g)=11

The required simplified value of the given function as (f/g)(5)  is 26.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
f(x) = x² +1

f(5) = 5² + 1
f(5) = 26

g(x) = x - 4
g(5) = 5 - 4 = 1

f/g(5) = f(5) / g(5)
       = 26 / 1 = 26

Thus, the required simplified value of the given expression (f/g)(5)  is 26.

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Answer:

9 quarters and 14 nickles

The number of quarters is 9.

The number of nickels is 14.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

Number of quarters = x

Number of nickels = y

Now,

1 quarter = $0.25

1 nickel = $0.05

Two equations are:

x + y = 23 ____(1)

x = 23 - y _____(2)

0.25x + 0.05y = 2.95 _______(3)

Putting (2) in (3) we get,

0.25(23 - y) + 0.05y = 2.95

5.75 - 0.25y + 0.05y = 2.95

5.75 - 2.95 = 0.20y

2.8 = 0.20y

y = 2.8/0.20

y = 14

Now,

x + y = 23

x = 23 - 14

x = 9

Thus,

There are 9 quarters and 14 nickels.

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Answer:

B

Step-by-step explanation:

Each number you're adding 12.

24 + 12 = 36, 36 + 12 = 48,. etc..

B

A shows factors of 12 instead of multiples, and C just doesn’t show numbers of relation to 12

Answer:

x=1.2

Step-by-step explanation:

2(5x-4)=4

distribute 2 to 5x and -4

10x-8=4

add 8 to negative 8 and 4

10x=12

now divide both sides by 10

10x/10= 12/10

x=1.2

The value of x for the logarithmic expression will be x=1.2.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is log2(5x-4)=4. The value of x will be calculated as,

2(5x-4)=4

Distribute 2 to 5x and -4,

10x-8=4

Add 8 to negative 8 and 4,

10x=12

Now divide both sides by 10,

10x/10= 12/10

x=1.2

Therefore, the value of x for the logarithmic expression will be x=1.2.

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Answer:

first one

Step-by-step explanation:

Answer:

(1,-1)

Step-by-step explanation:

Answer:

what kind kind of prob

Step-by-step explanation:

dp you have a Story

Answer:

there is no picture to explain your qustion and im confused

Step-by-step explanation:

Answer:

y = 4 (-3) - 2

y = -12 - 2

y = -14

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

[tex]y = 3\sqrt{2}[/tex]

Just use pythagorean theorem, very simple.

c = [tex]\sqrt{a^{2}+b^{2} }[/tex]

In your case c is y

your answer calculated will come out to 4.24 but put in terms your teacher wants will be

[tex]y = 3\sqrt{2}[/tex]

i do not know but its something around number

Answer:

Okay, to graph this equation we need to graph the y-intercept first.  This time its 7 for you, meaning 0,7.  So graph (0,7) as your first point.  Then we have your slope, which is -2/3`.  So, from (0,7) we will do rise/run.  So, our next point will be (3,5).  We went down 2 and ran 3.  Since its negative, we went DOWN.

-

if you want a third point, just ask!

-

Hope this helps.

-

<3

Complementary angles have a submission of 90 degrees thus :

[tex]angle \: \: A + angle \: \: B = 90°[/tex]

[tex](4x - 28)° + (4x - 8)° = 90°[/tex]

[tex]4x + 4x - 28 - 8 = 90[/tex]

Collect like terms

[tex]8x - 36 = 90[/tex]

Add both sides 36

[tex]8x - 36 + 36 = 90 + 36[/tex]

[tex]8x = 126[/tex]

Divide both sides by 8

[tex] \frac{8x}{8} = \frac{126}{8} \\ [/tex]

[tex]x = 15.75[/tex]

_____________________________________________

Now let's find the measure of A :

[tex]A = 4x - 28[/tex]

[tex]A = 4 \times (15.75) - 28[/tex]

[tex]A = 63 - 28[/tex]

[tex]A = 35°[/tex]

And we're done...

Don't have a good day , Have a great day ♡

Answer:

65.4 degrees

Step-by-step explanation:

cos(x) = 5/12

x = arccos(5/12), which is approximately  65.3756816 (on calculator). to the nearest tenth that is 65.4

Answer: I think its C

Step-by-step explanation:

Answer: b because i did the eqaution on paper

Step-by-step explanation:

Answer:

50-2

Step-by-step explanation:

there is 50 donuts and 2 that are frosted :)

Step-by-step explanation:

2 have frosting, therefore 50-2 = 48 don't.

so, the ratio is for frosting vs. non-frosting

2 : 48 (which would be also 1 : 24).

Using the power rule for differentiation, the first derivative of

[tex]f(x) = -x^{\frac12}[/tex]

is

[tex]f'(x) = -\dfrac12 \cdot x^{\frac12-1} = -\dfrac12 x^{-\frac12}[/tex]

and the second derivative is

[tex]f''(x) = -\dfrac12 \cdot \left(-\dfrac12 \cdot x^{-\frac12 - 1}\right) = \dfrac14 x^{-\frac32}[/tex]

which makes E the correct choice.

The missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)

The corresponding angles in the image given are: ∠2 and ∠3.

Since ∠2 ≅ ∠3, therefore lines l and m will be parallel.

In conclusion, the missing piece of information in the paragraph proof to prove that l║m is: ∠2 and ∠3 (corresponding angles)

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Your Question is incomplete..

Diana is baking bread, and the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will Diana use?

Answer:

3 3/4

Step-by-step explanation:

To figure out how many cups of flour Diana will use, you can set up a proportion.

1 1/2 = 3/2

2 1/2 = 5/2

2 1/4 = 9/4

Floor required for 3/2 teaspoons of yeast = 5/2

Floor required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4

= 5/2 * 2/3 * 9/4

= 15/4 = 3 3/4

Answer:

(The question is not complete so I will complete it)

Diana is baking bread, the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will diana use ?

A) 1 7/8

B) 3 1/2

C) 3 1/2

D) 3 3/4

E) 4

Step-by-step explanation:

The correct answer is D

To figure out how many cups of pour diana will use, you can set up a proportion

1 1/2 = 3/2

2 1/2 = 5/2

2 1/4 = 9/4

Flour required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4

= 5/2 * 2/3 * 9/4

= 15/4 = 3 3/4

Answer: D) 3 3/4

Answer:

C.

Step-by-step explanation:

Because in the parentheses, it says -2, you would graph the parabola, 2 to the right of the vertex. Then place the parabola up 1, to get the vertex as (2,1).

f(x)=(x-2)^2+1

Answer: NO GAIN for the shopkeeper

Step-by-step explanation:

20/100 *5000=1000

Answer:

9/10 < 7/5

Step-by-step explanation:

7/5 = 14/10

9/10 < 14/10

Answer:

7/5 is greater than 9/10

Step-by-step explanation:

7/5 = 14/10

Answer:6_1/4

Step-by-step explanation:

They are different by a multiple of 3, for example, 3_1/4 * 3 = 9_3/4, etc.

This means that you just have to divide 18_3/4 bu 3, which is 6_1/4