simplify (3³ × 3⁴) ÷ 3²
A person weighing 206 lb volunteers for a clinical trial of a new diet pill. If he loses 2.0 lb per month using the diet pill combined with regular exercise, when will he weigh less than 188 lb?
Answer: 9 months
Step-by-step explanation:
Given
Weight of the person is 206 lb
If he looses 2 lb per month, his weight after x months becomes 188 lb
Net Reduction in weight is [tex]206-188=18\ lb[/tex]
for 18 lb , time period is
[tex]\Rightarrow x=\dfrac{18}{2}\\\\\Rightarrow x=9\ \text{months}[/tex]
can someone explain how to do this :) im very confused
Answer:
the answer is 36q^7
Step-by-step explanation:
multiply the bases and add the exponents
The polynomial, −4x2+5 , is considered by classification to be a
Answer:
here u go
Step-by-step explanation:
binomial
Which expression is equivalent to
Answer:
2 * x^10 * y^12
Step-by-step explanation:
when dividing by exponents with the same base, you subtract the exponent.
find the value of x.
Answer:
x = sqrt(33)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
4^2 + x^2 = 7^2
16 + x^2 = 49
Subtract 16 from each side
x^2 = 49-16
x^2 = 33
Take the square root of each side
sqrt(x^2) = sqrt(33)
x = sqrt(33)
[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{c}^{2} = {a}^{2} + {b}^{2} }}[/tex]
To find the value of x. Let's use this formula:[tex]\quad\quad\quad \boxed{ \tt{\color{blue}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
Imagine that "a" is the "x".[tex]\quad\quad\quad \boxed{ \tt{\color{black}{a} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {c}^{2} - {b}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {7}^{2} - {4}^{2} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt{{x} = \sqrt{ {49} - {16} \: \: } }}[/tex]
[tex]\quad\quad\quad \boxed{ \tt \color{black}{{x} = \sqrt{ 33} }}[/tex]
Hence, The value of x is,[tex]\quad\quad\quad \boxed{ \tt \color{green}{{x} = \sqrt{ 33} }}[/tex]
_________
#LetsStudy
If a chicken eats 7 food pellets every 10m, and sleeps for 12h, how many pellets would you need for a week and what is the equation
Answer:767
Step-by-step explanation:
Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1)
Answer:
y = (-1/4)x
Step-by-step explanation:
the factor of x is in a line equation the slope of the line.
it residents actually the ratio of y/x.
in our original equation that means that for every change of x by 1 unit y changes by 4 units (actually -4 units) => -4/1 ratio.
a perpendicular line just reverses that ratio.
now, x had to change by 4 units for y to change by 1 unit (actually -1 unit)
=> -1/4
so, our wanted line equation must be in the form of
y = (-1/4)x + c
c is the offset of the line from the (0,0) point in y direction.
so, what is c ?
now we use the information of the point that is stored to be in that line : (4,-1)
=> -1 = (-1/4)×4 + c
=> -1 = -1 + c
=> c = 0
therefore, the desired line is
y = (-1/4)x
What is the perimeter of this rectangle?
w2 + 13
W + 5
A w3 + 18
B 2W + 2w + 36
o w3 + 5w? + 13w + 65
D w
+ W + 18
DA
(ОВ
Answer:
B. 2w^2 + 2w + 36
Step-by-step explanation:
The equation to find the perimeter of anything is: Length + Length + Width + Width = Perimeter.
Applying this logic to this problem, the equation would be as follows:
[tex]w^{2} + 13 + w^{2} + 13 + w+5+w+5[/tex]
Then, we simplify. The like terms go together, and you have your solution.
[tex]2w^{2} + 2w+36[/tex]
find the value of x what makes DEF ~ XYZ
Answer:
x = 4
Step-by-step explanation:
[tex]\frac{14}{2x-1} = \frac{10}{5} \\10(2x-1) = 5*14\\20x - 10 = 70\\20x = 70+10\\20x = 80\\x = 80:20\\x = 4[/tex]
For every person who walked, there were forty-four who drove. If 270 made the trip, how many walked? PLEASE HELP! NO SPAMMING OR I WILL REPORT!
On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Triangle L M N has points (1, negative 1), (1, negative 4), and (5, negative 1). Which best explains whether or not ΔABC ≅ ΔLMN? The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are congruent because a 180 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are not congruent because point B corresponds with point N and point C corresponds with point M. The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.
Answer:
The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.
Calculate the exact value of 0.5/0.5 * 0.3. Show working please
Answer:
0.3 if you typed the calculating correctly.
because then all operations are of the same priority and ranking, and we go simply from left to right :
0.5/0.5 = 1
and then there is 1 × 0.3 = 0.3
but if you missed to write any brackets like for
0.5/(0.5 × 0.3)
then this goes differently, because now 0.3 is in the bottom part of the division/quotient.
we can still shorten the expression, as the 0.5 on top and on the bottom eliminate each other to 1. but it leaves us with
1/0.3
now, what is 0.3 ?
it is actually 3/10.
so, we have 1/(3/10) which is the same as
(1/1) / (3/10)
to solve this, the two inner numbers of the quotient multiply and the two outer numbers multiply giving us
(1×10) / (1×3) = 10 / 3 = 3.33333...
so, please pick the solution that best fits your actual question.
Help,anyone can help me do quetion
geckos sundry cheri suffering augusto
Answer;
B3 = 72°
C3 = 84°
Solution
B3: x = 180° - 55° - [ 180° - 127° ] = 127°- 55° = 72°
C3: x = 180° - 133°+ [ 180°-143° ] = 47°+37°= 84°
feedback
hope it helps you. thank you.
Triangle ABC has angle measrures as shown
(a) what is the value of x? show your work.
(b) what is the measures of the angle C? Show your work
Answer:
[tex]\text{(a) } x=11,\\\text{(b) } \angle C=12^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles in a triangle is always equal to 180 degrees. Therefore, we have the following equation:
[tex](3x+28)+(5x+52)+(2x-10)=180[/tex]
Solving for [tex]x[/tex]:
[tex](3x+28)+(5x+52)+(2x-10)=180,\\3x+28+5x+52+2x-10=180,\\10x+70=180,\\10x=110,\\x=\boxed{11}[/tex]
Substitute [tex]x=11[/tex] to solve for angle C:
[tex]m\angle C=2x-10,\\m\angle C=2(11)-10,\\m\angle C==22-10=\boxed{12^{\circ}}[/tex]
Abby’s employee benefits include family health care coverage. She contributes 15% of the cost. Abby gets paid bi-weekly and $105.00 is taken out of each paycheck for family health care coverage. How much does Abby and her employer contribute annually for the family coverage?
Answer:
.........................
Nick spends 18% of his monthly budget on his rent payment, which is $700.
Which proportion can be used to calculate Nick’s total monthly budget?
Answer: [tex]\frac{700}{y} =\frac{18}{100}[/tex]
Step-by-step explanation: 18% is a fraction [tex]\frac{18}{100}[/tex]
In this case since 700 18% of the budget we can do the same thing with the budget being valued as y.[tex]\frac{700}{y}[/tex]
Can you guys help me
Got another question for you lovely folk, don’t understand how to do this one either
Answer:
97.12°
Step-by-step explanation:
the value of the highlight angle =
tan~¹ 1/3 + tan~¹ 5/1 =
18.43° + 78.69° = 97.12°
What do these terms represent? -8,-4, 0, 4, 8, 12
Answer:
They represent positive and negative numbers.
Step-by-step explanation:
What is the least common denominator of the equation 3/4(x-3)-1/2=2/3
Answer:
3(x-3)/4-1/2=2/3
The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...
Step-by-step explanation:
4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12
pls help i really need this grade
Sabe-se que o preço a ser pago por uma corrida de táxi inclui uma parcela fixa, que é denominada bandeirada, e uma parcela variável, que é função da distância percorrida. Se o preço da bandeirada é R$4,60 e o quilômetro rodado é R$0,96, qual a distância percorrida por um passageiro que pagou R$19,00?
a) 15 km
b) 16 km
c) 17 km
d) 18 km
e) 19 km
Answer:
El pasajero recorrió 15 kilómetros.
Step-by-step explanation:
Dado que se sabe que el precio a pagar por un viaje en taxi incluye una parte fija, que se denomina bajada de bandera, y una parte variable, que es función de la distancia recorrida, si el precio de la bajada de bandera es de R $ 4,60 y el kilómetro recorrido es de R $ 0,96, para determinar cuál es la distancia recorrida por un pasajero que pagó R $ 19,00 se debe realizar el siguiente cálculo:
Costo total = (0.96 x cantidad de km recorridos) + 4.60
19 = 0.96X + 4.60
19 - 4.60 = 0.96X
14.4 = 0.96X
14.4 / 0.96 = X
15 = X
Por lo tanto, el pasajero recorrió 15 kilómetros.
A right triangle has side lengths d, e and f as shown below use these lengths to find cos x, tan x and sin x
SOMEONE HELP ASAP PLZ
Answer:
To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.
sin x = O/H
cos x = A/H
tan x = O/A
where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.
sin x = f/d
cos x = e/d
tan x = f/e
Step-by-step explanation:
The trigonometric ratio's as per given side length of a triangle are as follow,
cosx = f/e , sinx = d/e , and tanx = d/f.
Let us consider triangle name as ABC,
Measure of angle ABC = x degree
Measure of angle BAC = 90 degree
Side length AB = f
Side length AC = d
Side length BC = e
For angle x ,
AC is the opposite side , AB is the adjacent side, and BC is the hypotenuse.
cosx = adjacent side / hypotenuse
= f / e
sinx = opposite side / hypotenuse
= d / e
tanx = opposite side / adjacent side
= d / f
Therefore, the value of the trigonometric ratio for the given side length of a triangle are cosx = f/e , sinx = d/e , and tanx = d/f.
learn more about triangle here
brainly.com/question/29122914
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You can earn money by shoveling your neighbors' driveways in the winter and get paid $10 per hour. What is a function that would define this situation?
Answer:
Total income= $100
Step-by-step explanation:
Giving the following information:
Hourly rate=$10
To calculate the total income, we need to use the following formula:
Total income= hourly income*number of hours
For example, for 10 hours shoveling in a week:
Total income= 10*10
Total income= $100
the union of 2 sets is all the elements of both set's, excluding the common elements true or false
Answer:
true
Step-by-step explanation:
AUB=A+B-(A∩B)
Please tell me how to slove this?
Answer:
:)
Step-by-step explanation:
ok so first you have to find the area of the white triangles, so the first one is 2 x 4= 8 cm2 and the second one is 3 x 2.5= 7.5 cm2, 8+7.5= 15.5 cm2, so the non-shaded region is 15.5 cm2, ok now find the area of the whole rectangle and subtract 15.5 from it hope this helped :)
What is the constant rate of change shown in the table?
A. 5 mph
B. 1.5 mph
C. 15 mph
D. 1/5
a
0*5 =0
1*5=5
2*5=10
3*5=15
For the pair of similar triangles, find the value of x.
Answer: The value of x is 184.
Step-by-step explanation:
According to the similar right angled triangle properties, the product of same side of triangles is equal to the another side product.
Now calculating the value of x for the given pair of similar triangles.
According to the given figure:
24 × (2x - 8) = 45 × (x + 8)
(24 × 2x) - (24 × 8) = (45 × x) + (45 × 8)
48x - 192 = 45x + 360
48x - 45x = 360 + 192
3x = 552
x = 184
Thus, the value of x is 184.
can anyone help me please?
Answer:
yes i can help you with all the time
