Answer:
-15 < x < -5
Step-by-step explanation:
-3 < x/5 < -1
Multiply all sides by 5
-3*5 < x/5 *5 < -1*5
-15 < x < -5
You are designing a new, larger coral reef habitat that will stun visitors with its size and vibrant colors. The tank requires special glass to protect this delicate environment. The glass costs $25,000 + a 10% engineering fee + a 5% shipping fee. The shipping fee is calculated on the cost of the glass plus engineering charges. What is the total cost of the glass, including fees?
Answer:
$28,875
Step-by-step explanation:
First, we would have to find 10% of $25,000
10% of $25,000 = $2,500
Now, we have to add the 2 values together
$25,000 + $2,500 = $27,500
Now, we can find the shipping fee, since it includes the engineering fee
5% of $27,500 = $1,375
Now, we can add the shipping fee to find the total
$27,500 + $1,375 = $28,875
Use the Distributive Property to complete the equivalent expression. Enter your answers in the boxes.
4(y – 3) = __ - ___
SOMEONE HELP EXTREMELY QUICK PLSSS
PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 3
Problem 1
Answer: Choice A[tex]f(n) = 59,000\left(1.08^{n-1}\right)[/tex]
---------------------------
Explanation:
The right hand side for choice A is in the form [tex]a(r)^{n-1}[/tex] which is the nth term of a geometric sequence.
a = first term = 59,000 = starting salaryr = common ratio = 1.08 = tells us how the salary increases year to yearThe 1.08 represents an increase of 8% because,
1.08 = 1 + 0.08 = 100% + 8% = 108%
=======================================================
Problem 2
Answer: Choice C[tex]\frac{(y-60)^2}{144} + \frac{x^2}{100} = 1[/tex]
---------------------------
Explanation:
The ellipse is 20 inches wide, which cuts in half to 10 inches. This is the corresponding value plugged into the denominator of the 'x' fraction, as x deals with the horizontal component. So we'll have a^2 = 10^2 = 100 in the denominator under the x term. Only choice C has this, so this is the answer we go for. For the vertical component, we cut 24 in half to get 12, then square it to get 144, which explains the denominator for the y term.
=======================================================
Problem 3
Answer: Choice C30 feet; major axis
---------------------------
Explanation:
Pick the larger denominator 225. Apply the square root to get 15. Then double this value to land on 30. This is the length of the major axis which is the longer axis through the center of the ellipse. The major axis also passes through both foci.
Let's say points P and Q are any two random points on the ellipse. The longest segment PQ can get is 30 feet.
A TON OF POINTS AND BRAINLIEST IF ANSWERED CORRECTLY! I RLY NEED HELP PLZZZ ANSWER
Use the function f(x) = 2x^2 − 3x − 5 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)
Answer:
Step-by-step explanation:
For
f(x) = 2x2-3x -5
For Part A
Set f(x) = 0
Factor the Quadratic
Set the factors = 0
Solve each factor for x to find your x intercepts
For Part B
You need to use the coefficients in your Quadratic
List them
a = 2 , b = -3 and c = -5
Since a is positive, your parabola opens up
Find the x coordinate of the vertex it is -b/2a
One you get the x coordinate, plug it into to your Quadratic to get f(x) your y coordinate of the vertex
For Part C
You can plot the vertex, both x intercepts on a coordinate grid
Do both of them for 50 points
Answer:
1) 7/12, 2) 7/24
Step-by-step explanation:
Just plug in the values of c and d.
1) given: c = -1 1/4, d = -1
1/3 * (-1 1/4) - (-1)^3 = -5/12 + 12/12 = 7/12
(-1^3 is -1 (there's a positive in front as well so the negatives cancel out and it's just 1) and then convert everything to a common denominator (which is 12). 1/3 times -1 1/4 becomes -5/12 when you multiple straight across).
2) given: c = 4 1/4, d = 1 1/2
1/3 * (4 1/4 - (1 1/2)^3) = 1/3 * (17/4 - 27/8) = 1/3 * (34/8 - 27/8) = 1/3 * 7/8 = 7/24
(use pemdas/order of operations and solve the exponent first, then the parentheses. 1 1/2^3 is 27/8, and 4 1/4 is 34/8. when you subtract you get 7/8, then you can multiply straight across with 1/3 and you get 7/24.)
What number must each side of the equation 3/5x= 12 be multipled by to produce the equivalent equation x = 20?
Answer:
1
Step-by-step explanation:
First, find out what the product would be if you multiply 20 with the fraction:
(3 * 20)/5 = 60/5 = 12
12 = 12 ∴ (3/5)(20) = 12
As 20 is your answer, you would need to only multiply 1 to obtain the correct balance for the equation.
Work out the area of the shaded shape 4m 9m 14m 8m
Answer:
76 m^2
Step-by-step explanation:
To find the area of the figure, you must divide the figure into multiple shapes. By dividing the figure into a 4 x 9 rectangle and a 5 x 8 rectangle, you can calculate the area of these two figures and add them together. After doing this, your answer should be 76 m^2.
For what value of x does 32X – 9^3x-4?
Answer: X = 4/61
Step-by-step explanation
What are the prime numbers out of 4 5 6 7 8 9 ?
Name.
Solve using
Substitution
L
y = 3x + 2
6x - 2y = 8
Answer:
No solution
Step-by-step explanation:
There is no solution to the system of equations y=3x+2 and 6x-2y=8, meaning that they are parallel to each other on a graph, with no points ever intersecting on each other's lines.
most of the mathematical symbols were not invented until 16th century, before that how equations were written?
Answer:
During the 16th and early 17th Century, the equals, multiplication, division, radical (root), decimal and inequality symbols were gradually introduced and standardized. ... In the Renaissance Italy of the early 16th Century, Bologna University in particular was famed for its intense public mathematics
Prior to the invention of the Mathematical Symbols, mathematical equations were written in words.
For example, Y + 10 = 4.5 would be written as
The thing plus ten equal to eight.
It is true that MOST, that is, the majority of the mathematical symbols we have today were invented in the 16th century. Examples of such symbols are:
Multiplication Sign × (1618)Plus/Minus Sign ± (1628)Inequality Signs > and < (1631)Percentage Sign % (1650)Infinity Sign ∞ (1655)Division Sign ÷ (1659) to mention a few.Prior to the 16th century, some mathematical signs were already in use. They are:
Plus Sign + (1360)Minus Sign - (1489)Square Root Sign (1525)Equals Sign = (1557) to mention a few.See the link below for more about Mathematical Signs:
https://brainly.com/question/11855662
Ella takes 1 3/5 hours to complete a
painting. Holly takes 3/4 of the time that
Ella takes. How long will Holly take to complete 5 paintings?
Answer:
6 hours
Step-by-step explanation:
FInding Holly's time of Ella's
Ella = [tex]1 \frac{3}{5}[/tex]
Holly = [tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]
Solve:
[tex]\frac{3}{4} \:\mathrm{of}\:1 \frac{3}{5}[/tex]
[tex]= \frac{3}{4} \times1 \frac{3}{5}[/tex]
[tex]1\frac{3}{5} =\frac{8}{5}[/tex]
[tex]\frac{3}{4}\times \frac{8}{5}=\frac{24}{20}[/tex]
[tex]\frac{24}{20} =\frac{6}{5}[/tex]
Now, we can find how many hours it takes holly to complete 5 paintings:
[tex]\frac{6}{5}\times5[/tex]
[tex]=6[/tex]
Therefore, it will take Holly 6 hours to complete 5 paintings.
Y=1/3x-4 + Y=-7/3x+4
Answer:
-2
Step-by-step explanation:
if you arrange them over each other you get [tex]\frac{1}{3} -4 \\+\frac{-7}{3} +4[/tex]
the -4 and +4 cancel out to 0
and 1-7= -6
-6/3 is -2
A French class has a total of 31 students. The number of males is 7 more than the number of females. How many males and how many females are in the class?
Answer:
12
Step-by-step explanation:
The sum of three consecutive even numbers is 36. What is the smallest numbers ?
Answer:
The numbers are 11,12,13
The smallest number is 11
Step-by-step explanation:
Let the first number be x
The next number is x+1
The third number is x+2
x+x+1+x+2 = 36
Combine like terms
3x+3 = 36
Subtract 3 from each side
3x+3-3 = 36-3
3x=33
Divide each side by 3
3x/3 = 33/3
x=11
The numbers are 11,12,13
The smallest number is 11
What is the volume if a cylinder with height 13 and radius 6?
What is the exponential expression for the numerical expression 6·6·6·6·6? 5·6^5 5^6. 6^5. 30^5
32 POINTS
Mandy has 37 red markers and 24 green markers. She wants to place an equal number of markers on 4 tables. What is the greatest number of markers she could place on each table ? Explain please
Answer:
15 marker's
Step-by-step explanation:
37+24=61
61÷4=15.25
because she wants an even number of makers the answer is 15.
Written as a simplified polynomial in standard form, what is the result when
(2x + 7)2 is subtracted from 2X- 8?
[tex]2x-8 - (2x+7)^2\\\\=2x-8 -(4x^2 + 2\cdot 2x \cdot 7 + 7^2)\\\\=2x-8-(4x^2 + 28x +49)\\\\=2x - 8 -4x^2-28x -49\\\\=-4x^2 -26x -57\\\\[/tex]
Math temperature question
Answer:
-10.9
Step-by-step explanation:
Add -20.4, -7.6, -15.8, -9.5, 4.2 and -16.3 to get -65.4.
Divide -65.4 by the count of the numbers. (6)
How much would you have to deposit today to have an accumulated amount 20,000 in 20 years if yearly interest is 4.75% compounded continuously?
The principal investment required to get a total amount of $20,000.00 from compound interest at a rate of 4.75% per year compounded 12 times per year over 20 years is $7,749.34
Given dataPrincipal =?
Final amount = $20,000
rate = 4.75%
Time = 20 years
First, convert R as a percent to r as a decimal
r = R/100
r = 4.75/100
r = 0.0475 per year,
Then, solve the equation for P
P = A / (1 + r/n)^(nt)
P = 20,000.00 / (1 + 0.0475/12)^(12)(20)
P = 20,000.00 / (1 + 0.003958333)^(240)
P = $7,749.34
Learn more about Compounding interest at:
https://brainly.com/question/1570054
Write the equation for the function graphed below
Answer:
Step-by-step explanation:
looks to be a parabola, so use vertex mode (h, k) = (-1, 2)
y = a(x - h)² + k
y = a(x + 1)² + 2
another point on the curve seems to be (1, 6)
6 = a(1 + 1)² + 2
1 = a
y = (x + 1)² + 2
or expand for standard form y = ax² + bx + c
y = (x² + 2x + 1) + 2
y = x² + 2x + 3
I NEED HELP PLSSS GEOMETRY
Answer:
Its the first one (top left option)
Step-by-step explanation:
ur in a rush so i wont explain, pls give me brainliest
A train travels 150 miles in three hours at the same rate how many miles will it travel in eight hours
Answer:400
Step-by-step explanation:
150 / 3 = 50 so 50 x 8= 400
is 7 a solution to 21-w<14?
(please answer asap!)
Answer:
no
Step-by-step explanation:
well, is 21-7 < 14?
Line’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Answer:
hi the answer to your question should be 50 miles
Step-by-step explanation:
hope this helps have a great day!
.. Write the number word of 0.036???
Answer:
zero point zero three six
pythagorean theorem to find the length of the hypotenuse in the triangle 16 30
Answer:
the answer is 34.
Step-by-step explanation:
what is most likely to be represented by the number -40
Answer:
You tell me the question properly and i will edit this and put answer
Step-by-step explanation:
Until then bye
Answer:
Read Explanation Below
Step-by-step explanation:
So... I didn't know what you were referencing nor did I see a paper, so I came up with a scenario that I thought would represent this number. (also, if you could send a picture so I know what you're referencing, that would be awesome)
1. When James took a nap at 3pm, he saw that the temperature outside was 70 degrees. However, when he woke up at 8pm, he checked the weather and it was 30 degrees. How much did the temperature change during his nap.
Justin has ridden 34 miles of a bike course. The course is 40 miles long. What percentage of the course has Justin ridden so far?
85%
Step-by-step explanation:Justin has ridden 34 miles out of 40 miles. This can be expressed as a fraction, 34/40.
If you carry out the division 34 ÷ 40, you get 0.85. This is the proportion of the course that Justin has ridden, and is always less than one. To convert this to a percentage, you multiply it by 100:
0.85 * 100 = 85%
