Answer:N(5)=1.5
Step-by-step explanation:The independent variable x represents the Number of hours driven and the dependent variable is the gallons of gas remaining, because the gallons of gas remaining depends on the number of hours driven.
A function relating these variables is Nx=14-2.5
So N(5)=1.5 meaning 5 hours of driving will result in 1.5 gallons left in the tank.
A computer is on sale for 45% off the original price of $879. If you use the store credit card, you can receive an additional 10% off of the sale price.
What is the final price of the computer if you use the store credit card?
Answer:
$395.55
Step-by-step explanation:
45%+10%=55%
100%-55%=45%
Since 45% is 45/100 in fractions, use that x 879 for the final price.
45/100x879=395.55
Hope this helps! Thanks.
Answer:
435.11
Step-by-step explanation:
First find the sale price of the computer. Then take the additional 10% off of the sale price.
need help with this algebra ii question
The parabola crosses the x-axis at x = 1 and x = -3.
x - 1 = 0
x = 1
x + 3 = 0
x = -3
b = 3
Hope this helps!! :)
Prove that: (sin x - 2 sin³ x)/(2 cos³ x - cos x) = tan x
[tex]\large\underline{\sf{Solution-}}[/tex]
We have to prove that:
[tex]\rm\longmapsto \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) } = \tan(x) [/tex]
Taking LHS, we get:
[tex]\rm = \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) }[/tex]
We can take sin(x) as common from numerator part. We get:
[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{2 \cos^{3} (x) - \cos(x) }[/tex]
Similarly, we can take cos(x) as common from first two terms. We get:
[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{ \cos(x) \{ 2 \cos^{2} (x) -1\}}[/tex]
[tex]\rm = \dfrac{ \sin(x) }{ \cos(x) } \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]
As we know that:
[tex]\rm\longmapsto \dfrac{ \sin(x) }{ \cos(x) } = \tan(x) [/tex]
We get:
[tex]\rm = \tan(x) \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]
Now, we will expand the terms in fraction:
[tex]\rm = \tan(x) \cdot \dfrac{\{1- \sin^{2} (x) - { \sin }^{2}(x) \}}{\{\cos^{2} (x) + \cos^{x}(x) -1\}}[/tex]
As we know that:
[tex]\rm \longmapsto \sin^{2}(x)+cos^{2}(x)=1[/tex]
[tex]\rm \longmapsto\cos^{2}(x)=1-sin^{2}(x)[/tex]
[tex]\rm \longmapsto\cos^{2}(x) - 1=-sin^{2}(x)[/tex]
Now substitute the values in the expression, we get:
[tex]\rm = \tan(x)\cdot \dfrac{ \cos^{2} (x)-{ \sin }^{2}(x)}{\cos^{2} (x) - \sin^{2} (x) }[/tex]
[tex]\rm = \tan(x)\cdot1[/tex]
[tex]\rm = \tan(x)[/tex]
Here, we notice that LHS = RHS
Proved.
In right triangle PQR, PR = 17, RQ = 15,
= 15,
and PQ = 8. What is tan P?
Answer:
[tex]\sf\bold \longmapsto \: Tan \: P = \frac{15}{8} [/tex]
Step-by-step explanation:
We know,The formula of Tan ∅ is–
[tex]\sf\longmapsto \: \tan = \frac{opposite}{adjacent} [/tex]
Therefore,Tan P will be Option D
[tex]\sf\longmapsto \: \frac{15}{8} [/tex]
find the approximate value of 2.49 and 2.98 when they are cubed
[tex]\huge\fbox\orange{S} \huge\fbox\red{C}\huge\fbox\blue{R}\huge\fbox\green{O}\huge\fbox\gray{L}\huge\fbox\purple{L>}[/tex]
[tex]\huge\underline\mathtt\colorbox{cyan}{2.49 cubed=15.438249}[/tex]
[tex]\huge\underline\mathtt\colorbox{red}{2.98 cubed=26.463592}[/tex]
A pole that is 2.6 m tall casts a shadow that is 1.26 m long. At the same time, a nearby tower casts a shadow that is 37.25 m long. How tall is the tower?
Answer:
Step-by-step explanation:
The ratio of height to shadow length will be proportional.
2.6 / 1.26 = h / 37.25
h = 37.25(2.6)/1.26 = 76.865079...
h = 76.9 m
each big square below represents one whole. what percent is represented by the shaded area?
Answer:
43%
Step-by-step explanation:
mark me as brainliest please
Please help meeeeeeeeeeeeee
Answer:
⅓,⁵/12,⁵/24,⁷/48You can think about them like if they are more or less than the half of the fraction
A food scientist is developing a new recipe. He needs it to have between 3 and 5 teaspoons of sugar per serving and between 3 and 6 grams of fiber. Each teaspoon of sugar has 5 carbohydrates. Each gram of fiber counts as a carbohydrate when counting total carbohydrates. If the recipe already has 10 carbohydrates per serving from other sources, create a linear programming feasible region to minimize the total carbohydrates in the recipes nutrition profile.
Answer:
aaaaaaaa nad its by
Step-by-step explanation:
Kevin picked 3/4 of a pound of strawberries. That afternoon, his sister ate 2/3 of the strawberries Kevin picked. How many pounds of strawberries did Kevin's sister eat? Use a visual model (such a number line, area diagram or pattern blocks) to find the answer to the problem. State the answer and explain how you determined the answer from your model.
Answer:
1/12 pounds of strawbebbies left.
Step-by-step explanation:
For each team, find the unit rate games per loss.
Answer:
Ой ну не знаю очень сложный вопрос
what is the greatest common factor of 42, 12, and 6?
Answer:
The greatest common factor is surprisingly 6.
All three numbers can be divided by 6 and it is the highest value that can be taken from all three numbers.
Step-by-step explanation:
Hope this helps.
<3
Answer:
the GCF of those numbers is 6.
Step-by-step explanation:
One way to solve this is to list the factors of them, then find the greatest one that they share.
42: 1, 2, 3, 6, 7, 14, 21, 42
12: 1, 2, 3, 4, 6, 12
6: 1, 2, 3, 6
If we look at them, notice that six is in all of them. All of them have factors of six. Can we go any higher than that? No because six is the greatest factor of six, so we can't go any higher and still have all of them share a GCF. So your answer is 6.
If a unicorn went 200 miles how many feet did it take to get home?
Answer:1 mile traveled at the rate of 200 miles in 60 minutes. ... Therefore, it would take 18 seconds to travel 1 mile going at a speed of 200 miles per hour!
Step-by-step explanation:
Calculate the range of change and identify the y-intercept. who ever answer this gets ranked.
Find the value of (64)1/2x(125)1/3
jerry runs at a speed of 9 feet per second. Write his speed as a rate
Answer:
is this what your looking for?
please help me with this sum
Answer:
lol no34532534
Step-by-step explanation:
Find the missing value so that the line passing through the points has the given slope.
(7,1) and (x,4); m = 3/4
Answer:
11
Step-by-step explanation:
4-1=3/11-7=4
The ratio of the side length of square A to the length of Square B is 4:9 The side length of square A is 12 yards. What is the perimeter of Square B
Step-by-step explanation:
side A / side B = 4/9
side A = 12 yards
=>
12 / side B = 4/9
12 = side B × 4/9
9×12 = side B × 4
side B = 9×12/4 = 9×3 = 27 yards
perimeter of B is 4×side B = 4×27 = 108 yards
If f ( x ) is a linear function, f ( − 1 ) = 2 , and f ( 5 ) = − 5 , find an equation for f ( x ) . f ( x ) =__
show your work!
Step-by-step explanation:
Let's first find the slope
(-5-2)/(5--1) = -7/6
the equation should be
[tex]y = \frac{ - 7}{6} x + c[/tex]
To find c, we replace X with -1 and Y with 2
c= 5/6
So the equation is
[tex]y = \frac{ - 7}{6} x + \frac{5}{6} [/tex]
And if you multiply everything by 6 you get
6y = -7x +5
A.4/10
B.1/20
C.3/40
D.2/20
Answer:
it's C. 3/40
Step-by-step explanation:
ghjfrukkbf
Calculate the state income tax per year in PA on a salary of $55,000 *
1 point
$1688.50
$200.00
$700.00
Answer:
If you make $55,000 a year living in the region of Pennsylvania, USA, you will be taxed $11,017. That means that your net pay will be $43,984 per year, or $3,665 per month. Your average tax rate is 20.0% and your marginal tax rate is 32.8%.
Step-by-step explanation:
Three cubes with volumes 8 cm3, 27 cm3 and 64 cm3 are glued together to form a solid figure. What the least possible surface area (cm2) of the solid figure?
Answer:
148 cm²Step-by-step explanation:
The cubes have sides of 2 cm, 3 cm and 4 cm respectively.
Their face area of the cubes is 4 cm², 9 cm² and 16 cm² respectively.
Total surface area of each cube is:
Side 2 cm - 6*(2*2) = 24 cm², Side 3 cm - 6*(3*3) = 54 cm², Side 4 cm - 6*(4*4) = 96 cm².Total of three cubes:
24 + 54 + 96 = 174 cm²When you glue the cubes together you lose an area equal to double face area of the smaller cube from the total surface area.
Possible decrease, provided full faces area covered:
2 cm cube with the other two ⇒ loss of four 2x2 faces 4*4 = 16 cm²3 cm or 4 cm cube with the other two ⇒ loss of two 3x3 and two 2x2 faces 2(9+4) = 26 cm²The least possible surface area is:
174 - 26 = 148 cm²3Cubes :
Volume = 8cm³ ==> r = 2cmVolume = 27cm³ => r = 3cmVolume = 64cm³ => r = 4cmSoo :
Volume - 1 = 6 × 2² = 6 × 4 = 24cm²
Volume - 2 = 6 × 3² = 6 × 9 = 54cm²
Volume - 3 = 6 × 4² = 6 × 16 = 96cm²
Totals = 24 + 54 + 96 = 174cm²[tex] \: [/tex]
surface area = 174 - 2(3² + 2²)
surface area = 174 - 2(9 + 4)
surface area = 174 - 2(13)
surface area = 174 - 26
serface area = 148cm²
[tex] \: [/tex]
-HayabusaBrainly
Please answer this hurry!!!!!
Edward opens a new account and makes a deposit of $150. He then makes withdrawals of $10, $20 and $25, before depositing $30 more. What is the new balance?
Please help me thank you!!
Answer:
what the hell
Step-by-step explanation:
can someone help me with this it’s due!!!
Answer:
10 feet tall
Step-by-step explanation:
(Triangle problem was answered in a previous question)
So like before, we have a ratio: 1.5inches:2.5feet
We have a starting value as well: 6 inches
All we have to do is convert from inches to feet (not with a real life equation, but with the given equation)
To begin, dvide 6 by 1.5
6inches/1.5inches = 4 (The units canceled out during division)
Not multiply by the ratio:
4 * 2.5feet = 10 feet (It takes the units in feet)
Therefore, the tree is actually 10 feet tall.
please help me if you can. Sorry if it’s blurry
Step-by-step explanation:
oh, come on, just multiplication.
7.5×10⁴ years is 7.5×10000 =75000 years.
0.005 inches per year for 75000 years means
0.005 × 75000 = 5 × 75 = 375 inches.
Please do 5 and 6!!!!
1/5 x 7/8 in simplest form s
Answer:
[tex]\huge\boxed{\sf \frac{7}{40} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{1}{5} \times \frac{7}{8} \\\\= \frac{1 \times 7}{5 \times 8} \\\\= \frac{7}{40} \\\\Hence, this \ is \ the \ simplest \ form.\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
7/40
Step-by-step explanation:
7 cant go into 40 so it just stays as 7/40