A car is traveling at 70 mi/hour. What is the car's speed in feet per second?
Solve the system of equations using matrices. Use Gaussian elimination with back-substitution.
x + y + z = -5
x - y + 3z = -1
4x + y + z = -2
share £50 in the ratio 4:1
Help! I'm giving brainiest!!!
33/2 =16.5
round down: 16 numbers at most are less than 22
You decide to put $100 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 2% per year and is compounded monthly, how long does it take you to earn $3,000 without depositing any additional funds?
Answer:
170.202 years
Step-by-step explanation:
From the compound interest formula, that has interest rate in times per year but compounds monthly we have
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
A is the amount you want to save, P is the principal (what you put down, in this case 100), r is the anual interest rate, n is 12 i.e the times it compounds, and t is the amount of years it will take. So we have data for all variables but t.
Solving for t we have
[tex]\frac{A}{P}=(1+\frac{r}{n})^{nt}[/tex]
taking logs
[tex]log(\frac{A}{P})=nt \,log(1+\frac{r}{n})[/tex]
finally
[tex]t = \frac {log(\frac{A}{P}) }{ n[log(1 + \frac{r}{n})]}[/tex]
replacing and calculating we get t=170.202
The average height of a female draft is 4.6 meters. Was her height in centimeters.
Final answer:
To convert the average height of a female giraffe from meters to centimeters, multiply 4.6 meters by 100, resulting in 460 centimeters.
Explanation:
To convert the average height of a female giraffe from meters to centimeters, we need to use the conversion factor where 1 meter is equivalent to 100 centimeters. If the average height is 4.6 meters, then we need to multiply this value by 100 to find the height in centimeters
Step-by-step calculation
This conversion process, from meters to centimeters, simplifies the representation of the average height of a female giraffe. Utilizing the conversion factor, where 1 meter equals 100 centimeters, the calculated result of 460 centimeters provides a more practical and commonly used metric. Such conversions are valuable for ensuring consistency in measurement units and facilitating communication across different contexts, enhancing our understanding of the physical dimensions of giraffes in a more accessible manner.
the diagram shows the dimensions of a teepee. find the volume of the building to the nearest cubic unit. use 3.14 for pi. height is 17 ft and width is 20 ft.
I need the answer i don't know the answer so please help me
1. In ∆ABC the angle bisectors drawn from vertexes A and B intersect at point D. Find ∠ADB if: m∠A = α , m∠B = β
2.Angle bisectors of the angles ∠A and ∠B of a triangle ∆ABC intersect each other at point M. Find m∠AMB, if m∠A = 58°, m∠B = 96°.
The measure of an angle formed by the intersection of two angle bisectors in a triangle is the semisum of the two angles being bisected. So, in both situations, ∠ADB and ∠AMB will be (α + β)/2.
Explanation:In a triangle, the angle formed by the intersection of two angle bisectors is always equal to the semisum of the two angles being bisected. Therefore, in ∆ABC, the measure of ∠ADB (∠ formed by the intersection of the bisectors from ∠A and ∠B) will be (α + β)/2.
For example, if angle A is 40° (let's represent it by α) and angle B is 60° (let's represent it by β), the ∠ADB will be (40 + 60) / 2, which equals 50°.
In the second problem, the measure of ∠AMB will also be equal to the average of ∠A and ∠B, so m∠AMB = (58° + 96°) / 2 = 77°. This rule applies to any triangle ABC, regardless of the type of triangle.
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Answer:
Hi, sorry, but my computer is glitching and I can't put in the answer for some reason.... I'm REALLY sorry...
Step-by-step explanation:
A cubic foot of water weighs about 62.5 pounds. if an aquarium is 18 feet long, 10 feet deep, and 12 feet wide, what's the approximate pounds-per-square-inch pressure (psi) on the bottom of the tank?
To find the psi on the bottom of an 18x10x12 feet aquarium, calculate the total weight of water, 135,000 pounds, and divide it by the bottom area in square inches, resulting in approximately 4.34 psi.
Explanation:To calculate the pounds-per-square-inch pressure (psi) on the bottom of the aquarium, we need to determine the weight of the water above a single square inch of the aquarium's bottom.
Given that the aquarium dimensions are 18 feet long, 10 feet deep, and 12 feet wide, we first calculate the volume of water in the aquarium by multiplying these dimensions together, which gives us 2160 cubic feet.
Next, since we know that each cubic foot of water weighs about 62.5 pounds, the total weight of the water in the tank can be found by multiplying the volume by this weight, resulting in 135,000 pounds (2160 cubic feet * 62.5 pounds/cubic foot).
To find the pressure in psi, we divide this total weight by the area of the bottom of the tank in square inches.
The tank bottom is 18 feet by 12 feet, which is 216 square feet or 31,104 square inches (216 square feet * 144 square inches/square foot).
Dividing 135,000 pounds by 31,104 square inches, we get approximately 4.34 psi pressure exerted on the bottom of the tank.
Angela enjoys swimming and often swim a at a steady pace to burn calories. At this pace, Angela can swim 1,700 meters in 40 minutes. What is Angela's unit rate?
The graph of a combination of line segments that passes the vertical line test is a ?
Nonlinear function (A)
The graph of a combination of line segments that passes the vertical line test is a Non Linear function.
What is vertical line test?The vertical line test states that a graph represents a function if and only if all vertical lines intersect the graph at most once.
The vertical line check is a graphical approach of determining whether or not a curve inside the aircraft represents the graph of a function by means of visually examining the variety of intersections of the curve with vertical lines.A vertical line intersects with them only once, making them features.Parabolas that face upward and downward are capabilities.They may be functions because a vertical line intersects the curve no extra than once.
If a vertical line intersects a curve on an xy-plane greater than once then for one price of x the curve has multiple value of y, and so, the curve does now not represent a function. If all vertical lines intersect a curve at most once then the curve represents a function.
The vertical line take a look at helps to find it a given curve represents a function or now not. If the vertical line cuts the graph of the equation at simplest one factor, then it's miles a characteristic, and if cuts the graph of the characteristic at a couple of point, then it does not constitute a characteristic. A vertical form is a shape with layers stacked on top of every other, with a fixed layer top, for instance a spherical tower where the radius corresponds to the datapoint.
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What is the x coordinate in the solution of the system of equations y =-2/3x and 4x - 9y =-40
The x-coordinate in the solution of the given system of equations is -4.
Explanation:The x-coordinate in the solution of the given system of equations can be found by substituting the value of y from one equation into the other equation and solving for x. Let's solve the system of equations:
Start with the equation y = -2/3x. Substitute this into the second equation:
4x - 9(-2/3x) = -40
Now simplify and solve for x:
4x + 6x = -40
10x = -40
x = -4
So, the x-coordinate in the solution of the system of equations is -4.
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Order number in least to greatest, 1/5, 0.1, -1/2, -0.25, 0.3
Final answer:
The numbers ordered from least to greatest are -1/2 (-0.5), -0.25, 0.1, 1/5 (0.2), and 0.3. The decimals provide a common format that makes comparisons straightforward.
Explanation:
The student is asking to order numbers from least to greatest. To compare these numbers, we convert them to a common format, such as decimals, and then we can easily arrange them:
-1/2 = -0.5 (the smallest negative number)-0.25 is the next smallest number, it is greater than -1/20.1 is equal to 1/10 and is the smallest positive number1/5 = 0.2, which is greater than 0.10.3 is the largest positive numberTherefore, the numbers ordered from least to greatest are: -1/2, -0.25, 0.1, 1/5, 0.3.
What is the x-intercept of the line in the equation 4x+2y=12
1. Solve for t: I=Prt
2. The bill (parts and labor) for the repair of a car was $458. The cost of parts was $339. The cost of labor was $34 per hour. Write and solve the equation to find the number of hours of labor.
3. 85% of 300 is what number?
4. What distance is 24% of 710 miles?
A store is offering a $30 mail in rebate on all color printers. Luis is looking at different color printers that range in price from $175 to $260. How much can he expect to spend after the rebate?
subtract 30 from both prices shown
175 -30 = 145
260 -30 = 230
he will spend between 145 and 230 after the rebate
After applying the $30 mail-in rebate, Luis can expect to spend anywhere from $145 to $230 on a color printer.
Explanation:The problem is asking to find out how much Luis will spend on a color printer after applying a $30 mail-in rebate. Given that the printers range in price from $175 to $260, we subtract the rebate from each of these prices to get the range Luis might expect to pay.
To calculate the minimum price, we take the lowest price of $175 and subtract the mail-in rebate: $175 - $30 = $145.
And to calculate the maximum price, we take the highest price of $260 and subtract the rebate: $260 - $30 = $230.
So, after applying the $30 mail-in rebate, Luis can expect to spend anywhere from $145 to $230 on a color printer.
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How to find the slope and y-intercept of 2y=8?
help
Factor.
8x9−27y15
Answer:
The factored form is [tex]8x^9-27y^{15}=(2x^3-3y^5)(4x^6+6x^3y^5+9y^{10}[/tex]
Step-by-step explanation:
Given : Expression [tex]8x^9-27y^{15}[/tex]
To find : Factor the expression ?
Solution :
Re-write expression as
[tex]8x^9-27y^{15}=(2x^3)^3-(3y^5)^3[/tex]
Applying identity, [tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]
Here, [tex]a=2x^3[/tex] and [tex]b=3y^5[/tex]
[tex]8x^9-27y^{15}=(2x^3-3y^5)((2x^3)^2)+(2x^3)(3y^5)+(3y^5)^2[/tex]
[tex]8x^9-27y^{15}=(2x^3-3y^5)(4x^6+6x^3y^5+9y^{10}[/tex]
Therefore, The factored form is [tex]8x^9-27y^{15}=(2x^3-3y^5)(4x^6+6x^3y^5+9y^{10}[/tex]
Ashley is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges
$
103
and allows unlimited mileage.
Company B has an initial fee of
$
75
and charges an additional
$
0.80
for every mile driven.
For what mileages will Company A charge less than Company B?
Use
m
for the number of miles driven, and solve your inequality for
m
.
Which example supports the given conjecture? the sum of two odd numbers is an even number.
a. 0 + 3 = 3
b. 2 + 6 = 8
c. 5 + 7 =12
d. 4 + 9 = 13?
ALGEBRATIC EXPRESSIONS HELP
the product of 4 and a number is increased by 7
product means multiply
increased by means add
so product of 4 and a number would be 4n
than add 7
so you have 4n+7
Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold? Set up system of equations and solve
Michael is walking from home to work. The function graphed represents the remaining distance to his work, in kilometers, x hours after he starts walking.
What is the meaning of each key feature of the graph?
Drag the answer into the box to match each item.
Let
x------> the time in hours
y------> the distance in kilometers
we know that
The x-intercept is the value of x when the value of y is equal to zero
In this problem the x-intercept is about the point [tex](0.80,0)[/tex]
that means
The number of remaining hours it takes to walk to work is [tex]0.80[/tex] hours (about [tex]48[/tex] minutes
The y-intercept is the value of y when the value of x is equal to zero
In this problem the y-intercept is the point [tex](0,4)[/tex]
that means
The remaining distance from home to work after Michael starts walking is [tex]4[/tex] kilometers
therefore
the answer in the attached figure
The previous task asked you to select the rectangle that did not represent an enlargement of the given rectangle. explain how you determined which rectangle was not an enlargement.
The ratio table should show dimensions that are proportional to the original rectangle. That is, the dimensions of the other rectangles should be multiplied by a scale factor for the enlargement. I checked each dimension to see if it was a multiple of the original rectangle.
Final answer:
To determine if a rectangle is an enlargement, compare the corresponding sides of the rectangles.
Explanation:
To determine which rectangle is not an enlargement of the given rectangle, you should compare their corresponding sides. An enlargement is a proportional increase in the dimensions of the original shape. If the corresponding sides of the two rectangles are not scaled by the same factor, then it is not an enlargement.
Identify the dimensions of the given rectangle.Compare the corresponding sides of each rectangle.If the corresponding sides are not scaled by the same factor, then the rectangle is not an enlargement.A man standing 13 feet from the base of a lamppost casts a shadow 5 feet long. if the man is 6 feet tall and walks away from the lamppost at a speed of 450 feet per minute, at what rate, in feet per minute, will the length of his shadow be changing?
The length of his shadow be changing 2250/13.
What is proportion?A proportion is an equation in which two ratios are set equal to each other.
Given:
height of men = 6 feet
Shadow height= 5 feet
speed of men= 452 feet/ min
So, Lampost's height = 6 x (5 +13)/ 5 =108/5
Now, using the proportion
L/ (L + 13 + 450 t)= 30/108
108 L= 30 L + 390 + 13500t
78 L = 390 + 13500t
L= 5 + 2250/13 t
hence, length of his shadow be changing 2250/13.
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How do you solve x in this equation ?
both angles need to equal 180 degrees
so you get
2x + 4x+150 = 180
combine like terms
6x + 150 =180
subtract 150 from each side
6x =30
x = 30/6
x = 5
Perform the indicated operation.
4/11 x 10/8
To solve the operation 4/11 x 10/8, multiply the numerators and denominators separately. The result is 0.45454545454.
Perform the indicated operation: 4/11 x 10/8
Multiply the numerators: 4 x 10 = 40
Multiply the denominators: 11 x 8 = 88
The result is 40/88 = 0.45454545454
(01.07)
Name the algebraic property demonstrated in the example below:
(2 + x) + y = 2 + (x + y) (1 point)
Commutative Property of Addition
Associative Property of Addition
Distributive Property
Transitive Property
Suppose that you have the option to buy an item with either cash or credit. Under which condition would you use credit?
Answer:
By having or building a good credit history.
Step-by-step explanation:
When an item is to bought by you on credit , for you to have or build a good credit history , Buying something with credit means that you are buying something with money you don't have at that very time
Later on, you will have to give back this money borrowed to a person,an interest will be paid for lending it.