Answer:
The area of the room is 37.5 square inches.
Step-by-step explanation:
Consider that the room is rectangular in shape.
The dimensions of the rooms are:
Length (l) = 7.5 inches
Breadth (b) = 5 inches
The area of a rectangle is:
Area = l × b
Compute the area of the room as follows:
Area = l × b
[tex]=7.5\times 5\\=37.5[/tex]
Thus, the area of the room is 37.5 square inches.
Tobias made a fruit salad with a blueberry to raspberry ratio of 8:6. Tobias' container of blueberries contains 72 blueberries. If he keeps to the same ratio, how many raspberries will Tobias use?
Answer:
54.
Step-by-step explanation:
8/6 = 72/ x where x is the number of raspberries.
8x = 6*72
8x = 432
x = 54.
Given the following exponential function, identify whether the change represents growth or decay, & determine the percentage rate of increase or decrease
y = 250 (1.078) ^x
Answer:
The exponential function represents growth, the percentage rate of increase is 7.8 %
Step-by-step explanation:
Please see the attachment.
The exponential function represents growth, the percentage rate of increase is 7.8 %
You buy 3 new shirts for $17 each and 5 new pairs of pants for $12 each. You give the cashier $110. Which of the following is a good estimation of the change you will get back?
Answer:No change
Step-by-step explanation:
3*17=51 + 5*12=60
So 51+60=111. So in reality you would still need to pay $1.
Answer:
you still owe 1 dollar to the store
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
f(x) = x^2 - 2x + 12
Step-by-step explanation:
the f(x) equation has a y-intercept of 12 because f(x)=x^2 - 2x has a y-intercept of 0 and the + 12 at the end shifts the function up 12 units putting the y-intercept at (0,12) while on the graph of the function g(x) it intercepts the y-axis at (0,1).
For how many teachers are both p Ar true and q false?
The diagram represents three statements about teachers:
p.9, andr
2.
OOOO
9
5
GA
7
9
2.
9
4.
6
Mark this and retum
Save and Exit
Next
Submit
Answer:
C. 5
Step-by-step explanation:
Believe in me
Simply Savings Bank offers a simple interest rate of 10% per year. Compound Capital Bank offers an interest rate of 8% per year compounded continuously. If Shakira plans to invest $200 for 5 years, which bank should she choose?
Answer:
She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.
Step-by-step explanation:
A simple interest rate account yields a return that follows the formula below:
[tex]return = C + C*r*t[/tex]
Where C is the invested money, r is the interest rate and t is the elapsed time in years.
While a compound interest rate account yields a return that follows the formula below:
[tex]return = C*e^{r*t}[/tex]
Therefore for the Simply Saving Bank she'll earn:
[tex]return_{1} = 200 + 200*0.1*5\\return_{1} = 200 + 100\\retrun_{1} = 300[/tex]
While the Capital Bank she'll earn:
[tex]return_2 = 200*e^{0.08*5}\\return_2 = 200*e^{0.4}\\return_2 = 200*1.49182\\return_2 = 298.364[/tex]
She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.
What is the equation of the line, in point-slope form, that passes through the points (-7, -10) and (-6, -8)?
Answer:
not sure if that is the Answers
The equation of a line is y = mx where m is the slope. That line passes through the origin. If you want it to pass through some point (a, b) you subtract the coordinates like this: y - b = m (x - a). That is the point-slope form, and you can rewrite it in other forms if it is convenient. You may do this with any point on the line.
Step-by-Answers
What does pi equal??
WILL GIVE BRAINLIEST!!!!!!!!:)
Answer:
The digits go on for infinity (3.14159. . .), but the simplified version is equal to 3.14.
Step-by-step explanation:
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!! No explanation needed !!!
Answer: x = 2
Step-by-step explanation:
Answer:
x = ± 2
Step-by-step explanation:
Given
(x² + 4)² - 11(x² + 4) + 24 = 0
Use the substitution
u = x² + 4, then
u² - 11u + 24 = 0 ← in standard form
(u - 3)(u - 8) = 0
Equate each factor to zero and solve for u
u - 3 = 0 ⇒ u = 3
u - 8 = 0 ⇒ u = 8
Change u back into terms of x
x² + 4 = 8 ( subtract 4 from both sides )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
One value of x tat is a solution is x = 2
Kelsi has 48 books 2/6 of those books are fantasy and sci-fi .3/8 of those books are sci-fi . How many of kelsi’s books are sCI-fi
Answer:
We know that 2/6 * 48 = 16 books are fantasy and sci-fi. Of those, 16 * 3/8 = 6 books are sci-fi.
Answer:
[tex]6[/tex]
Step-by-step explanation:
[tex]\frac{2}{6} \times 48[/tex]
[tex]16[/tex]
[tex]16 \times \frac{3}{8}[/tex]
[tex]\frac{48}{8}[/tex]
[tex]=6[/tex]
What is the awnser to(3+4)x6
Answer:
42
Step-by-step explanation:
(7)x6
42
Answer:
42
Step-by-step explanation:
Remember:
P arenthesess
E xponent
M ultiplictaion
D ivision
A ddition
S ubtraction
First,
3 + 4 = 7
Then,
7 x 6 = 42
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
a ferris wheel with a 40-ft diameter rotates once every 30 seconds. the bottom of the wheel is located 1.5 feet above the ground. you get on at the very bottom of the ferris wheel at time t = 0 and then the ferris wheel begins to turn counter-clockwise. for the problems below, assume the wheel makes 2 full rotations.
a. at what times are you at the top of the ferris wheel? what is the height at the top of the ferris wheel?
b. at what times are you at the bottom of the ferris wheel? what is the height at the bottom of the ferris wheel?
c. at what times are you in the exact middle of the ferris wheel? what is the height of the exact middle of the ferris wheel?
d. write a cosine function to model your height above the ground over time, t.
Answer:
Step-by-step explanation:
Let y = -A cos B(t -c) + D
A, amplitude = 20ft
Period = 2π / B ( B = π / 15)
= 30
c = 0
Vertical shift D = 21.5 ft
Equation becomes
[tex]y= -20 \cos \frac{\pi}{15}( t-0)+21.5[/tex]
[tex]\to y=-20\cos \frac{\pi}{15} t+21.5[/tex]
a) Top of the ferris wheel is
t = 15sec, 45sec, height = 41.5ft
b) At the bottom of the ferris wheel
t = 0, 30sec, 60 sec
height = 1.5ft
c) Exact middle of the ferris wheel
t = 15/ 2 = 7.5sec, 22.5sec, 37.5sec, 52.5sec
d) [tex]f(t) or h = -20 \cos (\frac{\pi}{15} t)+21.5[/tex]
32/34 Marks
Show that 155 can be expressed as the sum of a power of 2
and a cube number.
Answer:
[tex] 155 = {2}^{7} + {3}^{3} [/tex]
Step-by-step explanation:
[tex] \because \: 155 = 128 + 27 \\ 128 = {2}^{7} \: \: and \: \: {3}^{3} \\ \\ \huge \red{ \boxed{ \therefore \: 155 = {2}^{7} + {3}^{3} }}[/tex]
the altitudes of a triangle intersect at the______
Answer:
the altitudes of a triangle intersect at the "orthocenter".
Step-by-step explanation:
The orthocenter is the point where the three altitudes of a triangle meet if the triangle is acute.
Expand the brackets and solve
3(2x+1)=x-7
Two triangles are similar. The sides of one are three times as long as the sides of the other. What is the ratio of the areas of the smaller to the larger?
Answer:
1 : 9
Step-by-step explanation:
Given 2 similar figures with sides in ratio a : b , then
ratio of areas = a² : b²
Here the ratio of sides = 1 : 3 , thus
ratio of areas = 1² : 3² = 1 : 9
The ratio of the areas of the similar triangles is 1 : 9
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔDEF
And , they are similar triangles
Now , the sides of one are three times as long as the sides of the other
Let's call the sides of the smaller triangle a, b, and c, and the sides of the larger triangle 3a, 3b, and 3c. Then we know that:
a : 3a = b : 3b = c : 3c
Simplifying this, we get:
1 : 3 = 1 : 3 = 1 : 3
This means that the corresponding sides of the two triangles are in a ratio of 1:3
Now, let's use the formula for the area of a triangle:
A = ( 1/2 ) x base x height
The base and height of the two triangles are also in a ratio of 1:3, so the ratio of their areas is:
(1/2) x 1 x 1 : (1/2) x 3 x 3
So , the ratio is 1 : 9
Hence , the ratio of the areas of the smaller triangle to the larger triangle is given by 1 : 9
To learn more about similar triangles click :
https://brainly.com/question/29378183
#SPJ2
Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2, and the z-term has a coefficient of -1. The expression has a constant term less than zero. Which expression could he have written? 2 x + z + 5 minus 6 z squared
2 x minus z minus 5 + 2 z squared
Negative 2 x minus z minus 5 + 2 z squared
Negative 2 x + z minus 5 + 2 z
squared
Thank you in advice
[tex]2x - z - 5 + {2z}^{2} [/tex]
Step-by-step explanation:
The coefficient of x is 2= 2x
the coefficient of z is -1 which is = (-1)z= -z
the constant term is less than zero which means that the constant term is a negative number.
so the answer becomes
[tex]2x - z - 5 + {2} { (- 1)}^{2} [/tex]
which is =2x-z-3
Answer:
2 x minus z minus 5 + 2 z squared
Step-by-step explanation:
cebOOK
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
y = -1 + 2
y = 3r -4
Answer:
r = 5/3
Step-by-step explanation:
Olivia has $143 in the bank. She withdraws $40. Then she deposits &92. Write an addition expression to represent the situation. Then find the sum.
Answer & Step-by-step explanation:
Answer after you have shown organized work to get to the solution. 4. If you have ... content that you may have trouble with- search under 6th and 7th grade math. If you are ... Olivia has $143 in the bank. She withdraws. $40. Then she deposits $92. Write an addition expression to represent the situation. Then find the sum. 8
what is the inverse of the function f(x)=2x-10 ?
Answer:
1/2x +5
Step-by-step explanation: Right answer
Answer:
[tex]f^{-1} (x)=\frac{x+10}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=2x-10[/tex]
[tex]y=2x-10[/tex]
[tex]y+10=2x[/tex]
[tex]\frac{y+10}{2}=x[/tex]
[tex]\frac{x+10}{2}=y[/tex]
[tex]\frac{x+10}{2}=f^{-1} (x)[/tex]
The temperature was 54° at 7:00 a.M. At 3:00 p.M. On the same day, the temperature was 82°. What is the rate of change in temperature during this time?
Answer:
3.5°/hour
Step-by-step explanation:
Rate of change of temperature=change in temperature/Change in time
Change in temperature
=82° - 54°
=28°
Change in time=3:00pm - 7:00am
=8:00 hours
Rate of change of temperature=28°/8 hours
=3.5°/hour
Answer:
The rate of temperature change is 3.5 degree celcius per hour
Step-by-step explanation:
Here, we want to calculate the rate of change of temperature
Firstly, we calculate the number of hours it took the temperature to change
that mathematically = 15:00(3pm) - 7:00(7 am) = 8 hours
now let’s calculate the temperature rise = 82-54 = 28
The rate of temperature change is thus = change in temperature/ number of hours taken
= 28/8 = 3.5 degree celcius per hour
Please help ! I really don’t understand:((
Answer: B
Step-by-step explanation:
just took that
Answer:
the answer is B
Step-by-step explanation:
sin(Sin^-1 x) = x for -1
Please select the best answer from the choices provided
True?
False?
Thanks!
Answer:
True
Step-by-step explanation:
If the 30/8 give me 3 6/8 explain to me how did I get 3 6/8 please
Answer:
See explanation.
Step-by-step explanation:
The question is not very clear, but I am assuming that you are asking how to get from 30/8 to 3 6/8
This is a mere simplification problem. We have simplified 30/8 into 3 6/8.
To start, let's check out the multiples of 8 that are less than 30
8, 16, 24. We want the largest multiple, 24. here we have
[tex]\frac{24}{8} + \frac{6}{8}[/tex]
Simplify 24/8 into 3.
Now you're done!
3 6/8!
20 POINTS !! PLEASE ANSWER THIS MATH QUESTION !!
Answer:
7.8
Step-by-step explanation:
Sine 50=6/x
x= 6/Sine 50
x=7.8
Answer:
h ≈ 7.8 cm
Step-by-step explanation:
Use sines to determine the length of the hypotenuse. You know that there is a 50 degree angle, and that the ratio for sine is opposite/hypotenuse. You know that the opposite side from that angle is 6 cm, so you can set up the following equation:
sin50 = 6/h
sin50h = 6
h ≈ 7.8 cm
6a - 4b = 6b + 2a
solve for a
Answer:
[tex]a = \frac{5}{2}b[/tex]
Step-by-step explanation:
6a - 4b = 6b + 2a
Combine like terms:
6a - 2a - 4b = 6b (Subtract '2a' from both sides)
4a = 6b + 4b (Add '4b' to both sides)
4a = 10b
[tex]a = \frac{5}{2}b[/tex] (Divide both sides by 4)
Therefore, when simplified, [tex]a = \frac{5}{2}b[/tex].
Among 120 people , 80 drink tea and 40 drink
coffee. 20 of them drink neither tea or coffee;
answer the following question with the help of
a venn-diagram
1.how many of them drink tea only
[tex]please \: see \: the \: attached \: picture \: for \: \\ full \: solution \\ hope \: it \: helps....[/tex]
Zachary is solving the following equation.
Three-fourths (x minus 8) = 12
Which is the best first step to begin to simplify the equation?
Answer:
look below
Step-by-step explanation:
first distribute 3/4 into (x-8)= 3/4x-6
3/4x-6=12
then add 6 to both sides to get rid of -6
3/4x=18
Now multiply 4 times 18 to get rid of division (72)
now you are left with 3x=72, so you now divide by 3 and you get x=24
Answer:
The correct answer is C
The number one is an example of an element in the set of natural numbers true or false
For which function defined by a polynomial, are the zeros of the polynomial -2 and -7?
Answer:
Step-by-step explanation:
f(x)=a(x+2)(x+7)=a(x²+2x+7x+14)
or f(x)=a(x²+9x+14)
it has zeros as -2 and -7.
