Find the range of the function
Answer:
y€ R : y greater than or equal to 1
find the range of f(x)=2/5x + 5 for the domain (-4, -2, 0 3)
my answer is 3.4, 4.2, 5, 6.2 but im not fully sure
Answer:
Your answers are correct
Step-by-step explanation:
I need help please with this assignment
Answer:
a) 10 yards and 10[tex]\sqrt{3}[/tex] yards
Step-by-step explanation:
The intersection of the support beams in the middle form four right angles, since all four sides are equal. Because you know two angles of the triangle on the right hand side (90° and 30°), you can calculate the third angle (given that a triangle has 180°):
180°-90°-30° = 60°
This is a 30-60-90 triangle (if you don't know what that is, you can look it up). In a 30-60-90 triangle, the hypotenuse is 2x. In this case, the hypotenuse is 10 yards, so you can set up an equation given that information:
2x = 10
x = 5
Now that you know x of the 30-60-90 triangle, you can solve for the other two sides of the triangle.
The side directly across from the 30° angle is just x, which is equal to 5. The side directly across from the 60° angle is x[tex]\sqrt{3}[/tex], which in this case would be 5[tex]\sqrt{3}[/tex].
Because you want the full length of both beams, you'd multiple both sides by two to get the length of both entire beams:
5*2 = 10
(5[tex]\sqrt{3}[/tex])*2 = 10[tex]\sqrt{3}[/tex]
*I hope this makes sense!*
Joseph is a friend of yours. He has plenty of money but little financial sense. He received a gift of $12,000 for his recent graduation and is looking for a bank in which to deposit the funds. Partners' Savings Bank offers an account with an annual interest rate of 3% compounded semiannually, while Selwyn's offers an account with a 2.75% annual interest rate compounded continuously. Calculate the value of the two accounts at the end of one year, and recommend to Joseph which account he should choose.
Answer:
The value for partners savings bank at the end of 1 year is $12,362.70. The value for Selwyn's at the end of 1 year is $12,334.58. The future value obtained by investing in Partners Saving Bank is more as compared to Selwyn’s Saving Bank. Hence Joseph is recommended to choose Partners Saving Bank.
Step-by-step explanation:
The value of the interest rate and the compounding applied, gives the
value in the account after one year.
The value of the account with Partner's Bank after one year is approximately $12,362.7, which is higher than the value in the Selwyn's account.The value in Selwyn's which after one year is $12,344.58.Joseph should choose the Partner's Bank accountReasons:
The amount Joseph receives as gift, A₀ = $12,000
Amount interest from Partner's Savings Bank, r = 3% compounded semiannually
Interest rate offered by Selwyn's, r = 2.75% compounded continuously
Required:
The value of the two account at the end of one year.
Solution:
[tex]A_t = A_0 \cdot \left(1 + \dfrac{r}{2} \right)^{2 \times t}[/tex]
The amount at the end of one year (t = 1) in Partner's Savings Bank is therefore;
[tex]A_t = 12,000 \times \left(1 + \dfrac{0.03}{2} \right)^{2 \times 1} = 12,362.7[/tex]
The value in the Partner's Savings Bank after one year, A(t) ≈ $12,362.7The value of an account at Selwyn's is therefore;
The interest rate compounded continuously is presented as follows;
[tex]A(t) = \mathbf{A_0 \cdot e^{r \cdot t}}[/tex]
A₀ = The original amount invested = $12,000
Which gives;
[tex]A(t) = 12,000 \times e^{0.0275 \times 1} \approx \mathbf{12,334.58}[/tex]
The value of the account at Selwyn's after one year, A(1) ≈ $12334.58Therefore, the account Joseph should choose is the Partner's Savings Bank that gives a higher value in the account after one year.Learn more here:
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[tex] \frac{ - 48 + 6}{ - 7} + ( - 3)( - 4)( - 2)[/tex]
Step-by-step explanation:
[tex] \frac{ - 48 + 6}{ - 7} + ( - 3)( - 4)( - 2) \\ = \frac{ - 42}{ - 7} + 12( - 2) \\ = 6 + ( - 24) \\ = 6 - 24 \\ = - 18[/tex]
Please help!
look at photo to answer!!!
Answer:
the answer is A
Step-by-step explanation:
-1+6=5
0+6=6
1+6=7
What is another way to express 52 + 24?
8 (6 + 3)
4(13+6)
6 (9+4)
13 (4+2)
Done
Answer:
it's the 2nd one
Step-by-step explanation:
hoped I helped:)
Mrs. Smedema likes cookies. Each student in her 8th grade math class presented her with a cookie. One-third of the students each gave her an oatmeal cookie, one-sixth of the students each gave her a cinnamon cookie, one-fourth of the students each gave her a chocolate chip cookie, and the remaining 9 students each gave her a peanut butter cookie. How many students are in Mrs Smedema’s 8th grade math class?
Late answer, but whatever.
Answer:
36. There are 36 students in the class.
Step-by-step explanation:
4/12 oatmeal
2/12 cinnamon
3/12 chocolate
9 peanut
The fractions added together = 9/12
This means the 9 students = 3/12 of the class
3 x 4 = 12
9 x 4 = 36
Need this answer as soon as possible
Answer:
x=22
Step-by-step explanation:
Rule states diagonals = same so 6x-36 = 96 in which x=22 cause 6(22)=132
132-36 = 96
Graph a line that has a slope of 5/2 and includes the point (-2, -7)
the arc measure of a sector in a given circle is doubled. will the area of the sector also be doubled? explain your reason
Answer:
Yes. See explanation below.
Step-by-step explanation:
The central angle and the degree arc measure of a sector of a circle are equal. Doubling the arc measure, doubles the central angle measure and vice versa.
Area of the the original sector:
[tex] A_{sector} = \dfrac{n}{360^\circ}\pi r^2 [/tex]
where n = measure of the central angle of the sector
Since the central angle and the arc measure of the sector are equal, changing the arc measure has the same effect as changing the central angle measure.
Let's double the central angle to 2n which is the same as doubling the arc measure.
Area of the sector with a doubled central angle or a doubled arc measure:
[tex] A_{sector} = \dfrac{2n}{360^\circ}\pi r^2 [/tex]
Now we divide the area of the doubled sector by the area of the original sector.
[tex]\dfrac{\frac{2n}{360^\circ}\pi r^2}{\frac{n}{360^\circ}\pi r^2} =[/tex]
Simplify:
[tex]= \dfrac{2n}{n} \times \dfrac{360^\circ \pi r^2}{360^\circ \pi r^2}[/tex]
[tex] = \dfrac{2n}{n} [/tex]
[tex] = 2 [/tex]
The ratio of the areas is 2, so the area of the sector is indeed doubled.
Answer: Yes.
Consider the function shown below.
g(x) = 2^x
If the function g is horizontally compressed by a factor of 1/2 and reflected across the x-axis to obtain function f, which of the following graphs matches the above transformation?
The graph of the transformation by of horizontally compressing g(x) by a factor of 1/2 and then reflecting across the x-axis is graph Y
How to determine the graph?The function is given as:
[tex]g(x) = 2^x[/tex]
When compressed horizontally by a factor of 1/2, the transformation rule is:
g'(x) = g(2x)
So, we have:
[tex]g(2x) = 2^{2x}[/tex]
[tex]g(2x) = 4^x[/tex]
When reflected across the x-axis, the transformation rule is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]f(x) = -4^x[/tex]
The graph represented by this is graph Y.
Hence, the graph of the transformation is graph Y
Read more about transformation at:
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Which expression is equivalent to 2x + 2
A (2 + x) + 2
B 2(x + 2)
C 2(x + 1)
D 4x
how do I solve sin(4x)=sin(2x)?
Answer:
sin(4x) = sin(2x) is unsolvable.
Step-by-step explanation:
The two sides are not equal.
wuestion
A restaurant customer left $1.05 as a tip. The tax was 6% and the tip was 15% of the cost including
tax.
What was the total bill?
Plz help due at 11:59
I will mark right answer brainliest
Answer will give brainliest!
Answer:
One point would be on (0,0) and the other on (1,-5)
Step-by-step explanation:
hope this helped :)
can anyone help me on this question but explain? What’s the difference between gross and net income
Answer & Explanation:
Gross income is the total pay you earn before any reduction and adjustments (taxes, mortgage, etc.).
Net income is the amount of pay you get after taxes and other reductions are taken out of your gross income; it's the money that you "actually get to take home in your pocket with" on the payday.
A: y=5x+7 b:y= 3x+5 c: y=2x+5
Answer: A: y=5x+7
Step-by-step explanation: Hope this help :D
If a dog can eat 16 treats in 2 hours, how many can it eat in 6 hours?
Answer:
48 treats
Step-by-step explanation:
16 treats / 2 hours = 8 treats / hour
8 treats / hour x 6 hours =
48 treats
Hope that helps! :)
a - 2/3 = 3/5 how much is a?
Answer:
19/15
Step-by-step explanation: In order to solve for A add 2/3 to both sides of the equation to get A alone and 2/3 + 3/5 is equal to 10/15 + 9/15 which means the answer is 19/15.
Find the amount necessary to fund the given withdrawals.
Semiannual withdrawals of 270$ for 6 years, interest rate is 6.2% compounded semiannually
Answer:
the amount that necessary to fund is $2,671.61
Step-by-step explanation:
The computation of the amount is shown below;
Given that
PMT = $270
NPER = 6 × 2 = 12
RATE = 6.2% ÷ 2 = 3.1%
FV = $0
The formula is shown below:
=-PV(RATE;NPER;PMT;FV;TYPE)
After applying the above formula the present value is $2,671.61
hence, the amount that necessary to fund is $2,671.61
Duncan has cups of sand. He divides the sand equally into 4 containers. He uses all the sand in 1 container to make pieces of sand art. It takes cups of sand to complete each piece of sand art. How many pieces of sand art does Duncan make? A. 1 2/3 B. 2 C. 4 D. 5 5/9
Answer:
4
Step-by-step explanation:
From the above question:
1/4 cup of sand = 1 sand art
1 cup of sand = x
Cross Multiply
x × 1/4 cup of sand = 1 cup of sand × 1 sand art
x = 1 cup of sand × 1 sand art/1/4 cup of sand
x = 1 ÷ 1/4
x = 1 × 4
x = 4 pieces sand art
Therefore, Duncan can make 4 pieces of sand art.
Which of the following sets of points would create a rectangle when connected?
A.
(1,2) , (2,3) , (3,5) , (5,1)
B.
(2,1) , (3,2) , (5,3) , (1,5)
C.
(1,2) , (3,1) , (3,2) , (1,5)
D.
(1,2) , (3,2) , (3,5) , (1,5)
Landon is going to invest in an account paying an interest rate of 4.3%
compounded continuously. How much would Landon need to invest, to the
nearest hundred dollars, for the value of the account to reach $11,300 in 14
years?
Answer:
$6,100
Step-by-step explanation:
So to solve this problem, let's give the amount of money the variable "x". We just need to do x - 0.043 × x. Then we replace x with our answer and repeat the process 13 more times.
Answer:
$6200
Step-by-step explanation:
PLEASE HELP ASAP!!!
In △PQS, m∠Q=22°, m∠S=65°, and s=176. Identify q rounded to the nearest tenth.
Using the law of sines, the value of q is: D. 72.7.
What is the Law of Sines?The law of sines is given as: sin A/a = sin B/b = sin C/c.
Thus, given △PQS, where:
m∠Q = 22°
m∠S = 65°
s = 176
Applying the law of sines, we have:
sin Q/q = sin S/s
Substitute
sin 22/q = sin 65/176
q = (sin 22 × 176)/sin 65
q = 72.7
Therefore, using the law of sines, the value of q is: D. 72.7.
Learn more about the law of sines on:
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Find the distance from (-6, 1) to (-3, 5).
Answer:
9.8 units
Step-by-step explanation:
distance = sqrt (x2 - x1)^2 + ( y2 - y1)^2
sqrt (-3 - (-6))^2 + (5 - 1)^2
sqrt (9)^2 + (4)^2
sqrt 81 + 16
sqrt 97
9.848857802
Sombody please help ASAP!
Answer:
a translation down 9 unit
Step-by-step explanation:
Ben rolls a number cube 50 times. He records the result of each roll in the table below. RESULTS OF ROLLING NUMBER CUBE Outcome 1 2 3 4 5 6 Frequency 7 6 5 11 10 11 Based on the data, which statement is true? Ben will roll an even number about 250 times if the number cube is rolled 500 times. Ben will roll an even number about 220 times if the number cube is rolled 500 times. Ben will roll an even number about 700 times if the number cube is rolled 1,000 times. Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.
Answer:Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.
Step-by-step explanation:
can anyone help with this pls
Answer:
9
Step-by-step explanation:
Answer:
9 square meter
Step-by-step explanation:
1/2xbasexheight
=1/2x6x3
=9
plz mark me as brainliest.
3. A piece of wire 16 feet long is strung from
the top of the side of a house to the
ground. The distance from the base of the
house to where the wire meets the ground
is 9 feet, as shown in the picturt.
st
19 lei
(The figure is not drawn to scale.)
How tall, in feet, is the house?
B. 20
C. 175
D. 337
Answer:
its c because its not a b or d and its alround 13 feet
Step-by-step explanation: