Answer: 1/4 cup of fizzy water
========================================
Work Shown:
1/2 = 0.5
(1 cup fizzy water)/(2 tsp flavor) = (x cups fizzy water)/(0.5 tsp flavor)
1/2 = x/0.5
1*0.5 = 2*x ... cross multiply
0.5 = 2x
2x = 0.5
x = 0.5/2
x = 0.25
x = 1/4
He needs to add 1/4 cup of fizzy water
The ___ is the number of times a base is multiplied by itself indicated by an exponent.
7×3 22222222222222222222×5
Answer:
Power
Step-by-step explanation:
A(n) ___ is the number of times a base is multiplied by itself indicated by an exponent.
Power
i need help with this
Answer: x=32
Step-by-step explanation:
The angles in a triangle add up to 180 degrees.
Since we know a=10 the other two angles must add up to 170 degrees.
[tex]2x+3x=170[/tex]
We can now solve for x
[tex]2x+3x=170\\5x=170\\\frac{5x}{5} =\frac{170}{5}\\x=34[/tex]
We can sub in x to both angles to see if they angles add up to 180
[tex]2(34)+3(34)+10=180\\68+102+10=180\\180=180[/tex]
Write an equation in the standard form of the line that passes
through (7, -3) and has a y-intercept of 2.
Answer:
[tex]5x + 7y = 14[/tex]
Step-by-step explanation:
1: Formulate equations/expressions:
[tex]based \: on \: the \: given \: conditions \: formulate \\ b = 2[/tex]
2: Write the equations:
[tex]write \: the \: equation \: of \: linear \: function \\ y = mx + b[/tex]
3: Substitute:
[tex]y = mx + b \\ b = 2 \: (7 \: - 3) \\ - 3 = m \: . \: 7 + 2[/tex]
4: Solve the equation:
[tex] - 3 = m \: . \: 7 + 2 \\ multiply \: the \: monomials \\ - 3 = 7m + 2 \\ rearrange \: unknown \: terms \: to \: the \: left \: of \: the \: equation \\ - 7m = 2 + 3 \\ calculate \: the \: sum \: or \: differences \\ - 7m = 5 \\ divide \: both \: sides \: of \: the \: equations \: by \: the \: coefficient \: variable \\ m = 5 \div ( - 7) \\ calculate \\ m = - \frac{5}{7} [/tex]
5: Substitute:
[tex]y = mx + b \\ b = 2 \: m = - \frac{5}{7} \\ y = - \frac{5}{7} x + 2[/tex]
6: Rewrite the equations:
[tex]y = - \frac{5}{7} x + 2 \\ standard \: forms \\ find \: the \: required \: form \\ 5x + 7y = 14[/tex]
If a = 27, b = -10 and c = 40, show that a-(6-c) +(a - b)-C.
Answer:
58
Step-by-step explanation:
a = 27, b = -10 and c = 40
= a - (6 - c) + (a - b) - C
= 27 - (6 - 40) + (27 - (-10)) - 40
= 27 - (-34) + (37) - 40
= 27 + 34 + 37 - 40
= 58
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{a - (6 - c) + (a - b) - c}[/tex]
[tex]\large\textsf{= 27 - (6 - 40) + (27 - (-10)) - 40}[/tex]
[tex]\large\textsf{6 - 40 = \bf -34}[/tex]
[tex]\large\textsf{= 27 - (-34) + (27 - (-10)) - 40}[/tex]
[tex]\large\textsf{= 27 + 34 + 27 + 10 - 40}[/tex]
[tex]\large\textsf{27 + 34 = \bf 61}[/tex]
[tex]\large\textsf{= 61 + 27 + 10 - 40}[/tex]
[tex]\large\textsf{61 + 27 = \bf 88}[/tex]
[tex]\large\textsf{88 + 10 - 40}[/tex]
[tex]\large\textsf{88 + 10 = \bf 98}[/tex]
[tex]\large\textsf{98 - 40}[/tex]
[tex]\large\textsf{= \bf 58}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 58}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
please help me if you can. please show how you got the answer.
Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
[tex]\frac{x}{4.5}=\frac{15.3+7.4}{7.4}[/tex] which simplifies a bit to
[tex]\frac{x}{4.5}=\frac{22.7}{7.4}[/tex] and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
HELP PLEASEE
Find the approximate values of the five-number summary for the data set represented by this box plot.
Answer:
i dont know i need points im so sorry, i honestly hope you have the best life possible im sorry for this have a great day
Step-by-step explanation:
Esteban y Teresa son usuarios habituales del tren. Esteban siempre paga su pasaje. Teresa, en cambio, lo usa sin pagar. El viaje cuesta $ 0,68 y el revisor pone una multa de $ 50 cuan-do detecta un viajero sin pasaje, lo que ocurre en un 15% de los casos. ¿Cuál de los dos actúa más inteligentemente?
Respuesta:
Esteban actuó de forma más inteligente
Explicación paso a paso:
De la narración dada arriba, podemos concluir que la decisión de Esteban de pagar siempre la tarifa de su boleto es un movimiento muy inteligente. Esto se debe a que al comparar la tarifa del boleto y el monto de la multa para aquellos que no pagan y la probabilidad de que una persona sea atrapada, se podría concluir que las personas que no paguen terminarán pagando más a largo plazo;
Tarifa de entrada = $ 0,68
Tarifa de multa = $ 50 con un 15% de probabilidad de ser atrapado; tarifa esperada = (0.15 * 50) + (0.85 * 0) = $ 7.5
10. Which is the correct classification of the value 7 pi?
Answer:
the answer is that it is real rational integer
Matrix Question please help
THE ONE THAT YOU HAVE DONE IS CORRECT.
ALL DIAGONAL MATRICES ARE SQUARE MATRIX....
HOPE THIS HELPS YOU.......
Please help
For my finals I need help within 2 hours I’ll you give extra points also !
You are working 32 hours a week and earning $17.00 per hour.
1. Calculate how much you will make in a week.
2. Calculate how much you will make in a month. Use 4.33 for the number of weeks in a
month.
3. Calculate how much you will make in a year. There are 52 weeks in a year.
Numbers 4 , 5 and 6 is on the pictures
Answer:
1: 544
2: 2,355.52
3:28, 288
What is
V7
in simplest radical form?
Enter your answer in the box.
Answer:
ans: square root of whole term (7/11), I.e 1/2 power of (7/11)
Step-by-step explanation:
square root or radical can be written in power form as
7^(1/2) / 11^(1/2)
use laws of indices I.e
(7/11)^(1/2)
which is in simple radical form
Select the correct answer.
What is the slope of the line represented by the equation f(x) = -3x + 7?
ОА.
-7
OB. 3
O C. 3
OD. 7
Answer:
The slope should be -3.
Step-by-step explanation:
:)
What is the value of m in the equation 1/2m -3/4n=16 when n=8
Answer:
m = 44
Step-by-step explanation:
First plug in 8 for n in the equation.
3/4 x 8 = 6
1/2m - 6 = 16
add 6 to both sides
1/2m = 22
divide both sides by 1/2
m = 44
Plz, help! NO LINKS!!
write a function to describe the following scenario.
A basketball player practices jump shots. She starts at zero points and scores 5 points per minute. How many points will she have scored after a certain number of minutes?
y=?x
if f(x) = 3x + 2, what is f(5)?
Answer:
f(x)=3x+2 what is f(5)
f(5)=3(5)+2 = 17
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]f(5)=17[/tex]
»»————- ★ ————-««
Here’s why:
Replace the 'x' with the given value (in this case 5) and solve.⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow f(x)=3x+2; f(5)\\-------------\\\rightarrow f(5)=3(5)+2\\\\\rightarrow f(5)=15+2\\\\\rightarrow \boxed{f(5)=17}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
How do I find out 4)?
Answer:
Step-by-step explanation:
Given expression is,
[tex]\lim_{m \to \infty} \frac{4m^2-6m+1}{3m^2+5m+7}[/tex]
By dividing denominator and numerator of the given fraction by m²,
[tex]\lim_{m \to \infty} \frac{\frac{4m^2-6m+1}{m^2} }{\frac{3m^2+5m+7}{m^2} }[/tex]
= [tex]\lim_{m \to \infty} \frac{4-\frac{6}{m} +\frac{1}{m^2} }{3+\frac{5}{m} +\frac{7}{m^2} }[/tex]
We know that [tex]\lim_{n \to \infty} \frac{1}{n}=0[/tex]
[tex]\lim_{m \to \infty} \frac{4-\frac{6}{m} +\frac{1}{m^2} }{3+\frac{5}{m} +\frac{7}{m^2} }=\frac{4-0+0}{3+0+0}[/tex]
[tex]=\frac{4}{3}[/tex]
Therefore, We can evaluate the limit of the expression by substituting ∞ in for m.
A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready function tomorrow the situation. Determine the percent increase of the population of most of each month.
Answer:
[tex]y=120 * 1.1^x[/tex] --- function
The monthly rate is 10%
Step-by-step explanation:
Given
Let
[tex]x \to months[/tex]
[tex]y \to mice[/tex]
So, we have:
[tex](x_1,y_1) = (0,120)[/tex] --- Monday
[tex](x_2,y_2) = (1,132)[/tex] --- One month later
Required
The function
The function is represented as:
[tex]y=ab^x[/tex]
In [tex](x_1,y_1) = (0,120)[/tex], we have:
[tex]120 = a * b^0[/tex]
[tex]120 = a * 1[/tex]
[tex]120 = a[/tex]
[tex]a=120[/tex]
In [tex](x_2,y_2) = (1,132)[/tex], we have:
[tex]132 = a * b^1[/tex]
[tex]132 = a * b[/tex]
Substitute: [tex]a=120[/tex]
[tex]132 = 120 * b[/tex]
Solve for b
[tex]b = \frac{132}{120}[/tex]
[tex]b = 1.1[/tex]
So, the function is:
[tex]y=ab^x[/tex]
[tex]y=120 * 1.1^x[/tex]
To calculate the monthly rate (r), we have:
[tex]y =a(1 + r)^x[/tex]
Compare to: [tex]y =ab^x[/tex]
[tex]1 + r = b[/tex]
Make r the subject
[tex]r = b-1[/tex]
Substitute [tex]b = 1.1[/tex]
[tex]r = 1.1-1[/tex]
[tex]r = 0.1[/tex]
Express as percentage
[tex]r = 0.1*100\%[/tex]
[tex]r = 10\%[/tex]
find the volume of the larger one pls
Answer:
284 u^3
Step-by-step explanation:
a b c d e f g h i j k l m n o p q r s t u v w x y z
Which of the following are equivalent to
a^2•a^10
Select all that apply
A) a^8•a^4
B) a^4•a^5
C) a^12
D) a^7•a^5
E) a^20
F) a^2•a^6
Which type of parent function does the equation f(x) = vc represent?
O A. Reciprocal
O B. Cube root
O C. Square root
O D. Absolute value
Answer: D: absolute value
Step-by-step explanation:
The parent function does the equation f(x) = √c represent is,
⇒ Square root
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ f (x) = √ c
Now, We get;
The parent function does the equation f(x) = √c represent is,
⇒ Square root
Because its write in square root.
Thus, The parent function does the equation f(x) = √c represent is,
⇒ Square root
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
expand and simplify (x-5)^2
^2= to the power of 2
Step-by-step explanation:
thats my answer thankyou
mark me as BRAINLIEST
follow me
carry on learning
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
[tex] \large{ \tt{✤ \: FIRST ,\: MEMORISE \: THESE}} : [/tex]
[tex](a + b)^{2} = {a}^{2} + 2ab + {b}^{2} [/tex][tex] (a - b) ^{2} = {a}^{2} - 2ab + {b}^{2} [/tex][tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex][tex] {a}^{2} + {b}^{2} = {(a + b)}^{2} - 2ab \: [/tex] or [tex] {(a - b)}^{2} + 2ab[/tex][tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
[tex] \large{ \tt{⋆ \: (x - 5) ^{2} }}[/tex]
Use the formula of ( a - b ) ². Assume ' x ' as ' a ' & ' 5 ' as ' y ' :[tex] \large{ \tt{↦ {x}^{2} - 2 \times x \times 5 + {5}^{2} }}[/tex]
[tex] \boxed{ \large{ \tt{↦ \: {x}^{2} - 10x + 25 }}}[/tex]
Hence , the required answer is x² - 10x + 25And we're done! ♡
[tex] \large{ \# \: \mathfrak{StayInAndExplore \: ☂}}[/tex]
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Please help ASAP
A map uses a scale of 3 centimeters to represent 20 miles. The distance between Mt. Hope and
Camden is 56 miles. Which proportion can be used to find 2, the distance between Mt. Hope and
Camden on the map?
Answer:
Option B is correct
Step-by-step explanation:
Hope that helped u
A triangle is rotated 90° about the origin. Which rule describes the transformation?
Answer:
Rotation
Step-by-step explanation:
It's kind of in the statement, but because the triangle is being rotated, that transformation is called a rotation.
Y=6*2x for x=-2 evaluate the function
Answer:
Y = -24
Step-by-step explanation:
For this problem, evaluate simply means for each x, replace the value with -2. So, let's do that.
Y = 6*2x
Y = 6*2(-2)
Y = 6*-4
Y= -24
Cheers.
HELP HELP HELP HELP HELP HELP HELP HELP
Answer:
first option is correct
Step-by-step explanation:
3x+12+x=180 degree (being linear pair)
4x+12=180
4x=180-12
x=168/4
x=42
Given a triangle with side PQ=8 cm. To get a line PQ’=3/4 of PQ, we divide the line segment PQ in the ratio
Answer:
3:4
Step-by-step explanation:
Given -
Length of line PQ = 8 cm
In order to get a line PQ’=3/4 of PQ, we first need to divide the line PQ into four equal parts and each of these parts would be of equal lengths i.e 8cm/4 = 2 cm
Now out of these 4 parts, three are to be taken to form line PQ'
So length of PQ' = 3*2 cm = 6 cm
Ration should be 6:8 = 3:4
hello i give points!
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
Answer:
i would say that the box plot will look somewhat in the middle between 18 and 36 with 36 being the largest and 18 as the smallest
the data will also wont have a major difference in them
hope this helps<3
Solve for a
5 + 7a = 19
What is the measure of the reference angle for a -289 angle
A. 89
B. 71
C. 289
D. 19
Answer:
B
Step-by-step explanation:
The reference angle and the given angle are the same angle.
Add 360° to the given angle , so
reference angle = - 289° + 360° = 71° → B
reg is visiting the united states and needs to convert 2,000 rupees to US dollars
Answer:
27.3 dollars
Step-by-step explanation:
