The slope is the change in Y over the change in x:
Slope = (0-1) / 4-0) = -1/4
Slope = -1/4
Y intercept is the Y value when x is equal to 0. In the point (0,1) x is 0 and y is 1, so the y-intercept is 1
A principal of $2600is invested at 6.75% interest, compounded annually. How much will the investment be worth after 14 years
Answer:
$6488.19
Step-by-step explanation:
To solve this problem we use the compounded interest formula:
[tex]amount = principal(1 + (r \n))^({n}{t})[/tex]
a = $2600(1+(0.0675/1))¹*¹⁴
a = $6488.19
-5x12 step by step ….
Answer: 60
Step-by-step explanation:
5+5+5+5+5+5+5+5+5+5+5+5=12 so 5x12 is 60 use repeated addition
Write three integers that do not ali have the same sign that have a sum
of -20.
Type the correct answer in each box. Use numerals instead of words. A race car is driven by a professional driver at 99 . What is this speed in and ? 1 mile = 1.61 kilometers 1 hour = 60 minutes Round your answers to the nearest tenth. The speed is equivalent to , or
Answer:
[tex]Speed = 159.4\ km/hr[/tex]
[tex]Speed = 2.6\ km/m[/tex]
Step-by-step explanation:
The question has missing details; However, the given parameters are
[tex]Speed = 99\ miles/hour[/tex]
Required
Determine the speed in
- kilometre per hour
- kilometre per minute
From the question; we have that
[tex]1\ mile = 1.61\ kilometers[/tex]
[tex]1\ hour = 60\ minutes[/tex]
[tex]Speed = 99\ miles/hour[/tex] can be rewritten as
[tex]Speed = \frac{99\ miles}{hour}[/tex]
It can be further expressed as
[tex]Speed = \frac{99\ *\ 1\ mile}{hour}[/tex]
Recall that [tex]1\ mile = 1.61\ kilometers[/tex]'
So;
[tex]Speed = \frac{99\ *\ 1.61\ kilometre}{hour}[/tex]
[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]
[tex]Speed = 159.39\ kilometres/hour[/tex]
[tex]Speed = 159.4\ km/hr[/tex] -- Approximated
Solving further to get kilometre per minute equivalent
[tex]Speed = \frac{159.39\ kilometres}{hour}[/tex]
This can be rewritten as
[tex]Speed = \frac{159.39\ kilometres}{1\ hour}[/tex]
Recall that [tex]1\ hour = 60\ minutes[/tex]; So,
[tex]Speed = \frac{159.39\ kilometres}{60\ minutes}[/tex]
[tex]Speed = \frac{2.5565\ kilometres}{minute}[/tex]
[tex]Speed = 2.5565\ kilometres/minute[/tex]
[tex]Speed = 2.6\ km/m[/tex] --- Approximated
Answer:
Speed of the car is equivalent to 159.39 KM/hour or 2.6565 Km/min.
-Step by Step-:
-The speed of the car is given as 99 mi/hour.
Now, WE know that 1 Mile = 1.61 KM
Hence, in order to calculate the speed of the car in KM/hour we will multiply the speed of the car in miles with 1.61.
⇒The speed of the car in KM/hour = 99 × 1.61 KM = 159.39 KM/hour
Also, 1 hour = 60 minutes
⇒ Speed of the car in KM/min = (159.39) ÷ 60 = 2.6565 K/min
please help you can answer it by saying something like option 3 or option 2 that would be ok
Answer:
maby option 5
Step-by-step explanation:
Write the fraction as a decimal.
how can i learn math well?
Answer:
you can use brainly because the ppl on here are smarter than all of us and they also explain how to solve answer so you can focus really hard to understand heh
In right triangle ΔABC (m∠C = 90°), point P is the intersection of the angle bisectors of the acute angles. The distance from P to the hypotenuse is equal to 4 in. Find the perimeter of △ABC if AB = 12 in.
Answer:
the perimeter of ΔABC is 32in
Step-by-step explanation:
We know that intersection point of the angle bisectors refers to the incenter of the triangle,.
Given tmthe radius of 4inch for the centre of the incircle.
One of the properties of the incircle is that the distances (d) from vertex C to the nearest touchpoints are equal and have the value
In an incircle , the distances (d) along vertex C and touchpoints have equal value and can be expressed as
d = 1/2(a +b -c)
And a, b, c represent lengths of the sides
We were given the hypotenuse (c) as 12 in, with the radius of 4inch for the
distance from the right-angle vertex C to the incircle touchpoints .
We can determine the sum a+b as
4 = (1/2)(a+b -12) .
4/(1/2)= (a+b -12)
8= (a+b -12)
20=a+b
Which is the addition of length of the two legs of the triangle.
We can determine the perimeter which is the addition of the leg lengths as well as the hypotenuse length.
perimeter = 20 in + 12 in = 32 in
Therefore, the perimeter of ΔABC is 32in
Hi!! Can you please help with this question and explain how to solve it??
Find the height in centimeters of a square pyramid with a volume of 144 cm3 and a base edge length equal to the height. Give the approximate answer rounded to 2 decimal places.
9514 1404 393
Answer:
7.56 cm
Step-by-step explanation:
The volume is given by the formula ...
V = 1/3b²h . . . . where b is the base edge length, and h is the height.
Here we have V = 144 cm³, and b = h. Filling in these values and solving for h, we get ...
144 cm³ = 1/3h³
432 cm³ = h³
h = ∛432 cm ≈ 7.55953 cm
The height of the pyramid is about 7.56 cm.
Answer:
[tex]7.56cm[/tex]
Step-by-step explanation:
Given that,
base length = Height
so,
[tex]volume = \frac{1}{3} {b}^{2} h \\ [/tex]
We can also write this as( according to this question)
[tex]v = \frac{1}{3} \times {b}^{2} \times b \\ v = \frac{ {b}^{3} }{3} [/tex]
let's solve
[tex]v = \frac{ {b}^{3} }{3} \\ 144 = \frac{ {b}^{3} }{3} \\ 144 \times 3 = {b}^{3} \\43 2 = {b}^{3} \\ \sqrt[3]{432} = b \\ b = 7.55[/tex]
[tex]base = height = 7.55cm \\ [/tex]
= 7.56cm
What is the volume of the cylinder?
•576 cm3
•2887 cm3
•96 cm3
•192 cm3
[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\red{Volume \: \: of \: \: cylinder \: = \: \pi \: {r}^{2} \: h }}}}}\end{gathered}[/tex]
r represents radius of cylinder.h represents height of cylinder.So ,r = 6 cmh = 16 cmπ = 3.14Substuting the values⇥Volume of the cylinder = π r² h
⇥Volume of the cylinder = 3.14 × 36 × 16
⇥Volume of the cylinder = 113.04 × 16
⇥Volume of the cylinder = 1808.64
Hence , the volume of cylinder is 1808.64 cm²
HELP ASAPPPPPP PLEASEEEE !!
Answer:
y=0
Step-by-step explanation:
Answer:
y=0 This is because if you add -5y -2y you get 0=-7y. You want to isolate the y-value so you would divide both side by 7. Once you do that you will come up with 0/-7. If you simplify that you end up getting just 0.
Round 2.1 to the nearest whole number.
When you round 2.1 to the nearest whole number, the answer will be 2.
Answer:
2 is the answer
Step-by-step explanation:
to round 2.1 to the nearest whole number consider the tents value of 2.1 which is 1 end less than five therefore we have to round down the ones place value of 2.1 . 2 remains 2 and the decimal point is removed.
2.1 to the nearest whole number is 2
What is the solution to the linear equation?
2/7+x=6/7+3/7x
Group of answer choices
1
7
1/2
4
Answer:
The answer to your question is 1, or answer choice A.
Step-by-step explanation:
x+ 2 /7 = 3 /7 x+ 6 /7
x+ 2 /7 − 3 /7 x= 3 /7 x+ 6 /7 − 3 /7 x
4 /7 x+ 2 /7 = 6 /7
4 /7 x+ 2 /7 − 2 /7 = 6 /7 − 2 /7
4 /7 x= 4 /7
( 7 /4)*( 4 /7 x)=( 7 /4 )*( 4 /7 )
x=1
If MQ = 9, NP = 27, and LQ = 15, calculate the length of LP. Assume ΔLMQ ~ ΔLNP. Image not set to scale.
Answer:
LP = 45
Step-by-step explanation:
MQ/NP = LQ/LP
= 9/27
= 1/3
if LQ is 15 and is 1u, LP (3u) is 15 × 3 = 45
Answer:
[tex]\huge \boxed{45}[/tex]
Step-by-step explanation:
We can solve by using ratios since the triangles are congruent.
[tex]\displaystyle \sf \frac{MQ}{NP} =\frac{LQ}{LP}[/tex]
Let the length of LP be x.
[tex]\displaystyle \frac{9}{27} =\frac{15}{x}[/tex]
Cross multiply.
[tex]9x=15 \times 27[/tex]
[tex]9x=405[/tex]
Divide both sides by 9.
[tex]\displaystyle \frac{9x}{9} =\frac{405}{9}[/tex]
[tex]x=45[/tex]
Can someone help me on this math question its confusing ill give brainly when right!!!
The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]? There are four points connected by a curve on the graphs. The points are (0, 0), (5, 1), (9, 6), (11, 11). Two-fifths 1 2 Five-halves
Answer:
Below
Step-by-step explanation:
Let f be our function:
● f(9) = 6
● f(11) = 11
Let m be the average speed over the interval [9,11]
● m = [f(11)-f(9)] / 11-9
● m = 11-6 / 2
● m = 5 / 2
● m = 2.5
So the answer is five halves.
Answer:
5/2
Step-by-step explanation:
D on edge
2. Distribute the -1
(6h + 4) - (2h - 3)
Answer:
6h+4 -2h +3
Step-by-step explanation:
(6h + 4) - (2h - 3)
Distribute
6h+4 -2h +3
Given three consecutive odd integers whose sum is 369, find the smallest of the three integers.
Answer:
Step-by-step explanation:
369 = x + (x+2) + (x+4)
369 = 3x + 6
363 = 3x
121 = x
now that we know that x = 121, we can solve the equation by plugging in the variable
369 = x + (x+2) + (x+4)
369 = 121 + 123 + 125
369 = 369
The smallest three integers are 121,123 and 125.
Let, the smallest odd integers be n
Then according to the given condition,
[tex]n+(n+2)+(n+4)=369\\3n+6=369\\3n=363\\n=121[/tex]
So, the numbers are,
[tex]n=121\\n+2=121+2=123\\n+4=121+4=125[/tex]
Learn More:https://brainly.com/question/2254193
Evaluate 2^2⋅4^3=
Your answer
Answer:
256
Step-by-step explanation:
First, handle the exponent:
2²=4 (2*2=4) and 4³=64 (4*4=16*4=64)
Now multiply those two outcomes:
4*64=256
This equation is also known as 4⁴
What is the value of z for the equation fraction 1 over 2z = −fraction 3 over 4 + fraction 1 over 4z? −3 −1 1 3
Answer:
z= -3
Step-by-step explanation:
Given:
1/2z =-3/4 + 1/4z
Collect like terms
1/2z - 1/4z = -3/4
Add 1/2z - 1/4z
2z-z / 4 = -3/4
We have
z/4=-3/4
Same as
z(1/4) = -3/4
Divide both sides by 1/4
z(1/4) ÷ 1/4 = -3/4÷1/4
z(1/4) × 4/1= -3/4 × 4/1
z(4/4) = -12/4
z= -3
The value of z= -3
Answer:
-3
Step-by-step explanation:
I got it right on the test
Two rectangles are joined together to form a single large area. The rectangles do not overlap. The first rectangle has side lengths of 333 meters and 555 meters. The second rectangle has side lengths of 777 meters and 444 meters. What is the combined area?
Answer:
Step-by-step explanation:
333 times 555=184815
777 times 444=344988
now add 184815+344988=529803
Date: Pages The recent price of a car is Rs. 10.00,000: If its price reduces by to1 yearly after how many year its price will be Rs 7, 29,000?
Answer:
729000 year it's price will Rs 729000
12) Express in standard form :
a) 0.000000056 b) 56780000000 c) 1923.8
13) The diameter of a plant cell is 1.26 m and the length of a bacterium is 5.1 m. Compare their
diameters.
Answer:
part a)
Step-by-step explanation:
Jamal uses factoring to find the zeros of the equation x2+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.
Which statement BEST explains whether Jamal is correct or incorrect?
A
Jamal is correct because x2+4x−32 is equivalent to (x+4)(x−8).
B
Jamal is correct because x2+4x−32 is equivalent to (x−4)(x+8).
C
Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8).
D
Jamal is incorrect because x2+4x−32 is equivalent to (x+4)(x−8).
Answer:
c)
Step-by-step explanation:
x^2+4x-32 = (x-4)(x+8)
hence,
(x-4)(x+8) = 0
x = 4 or x = -8
the graph intersects at 4 not -4
Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.
Jamal uses factoring to find the zeros of the equation x²+4x−32=y. He concludes that the graph intersects the x-axis at x=−4 and x=8.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
x²+4x−32=y
Let y = 0
x²+4x−32=0
x² + 8x - 4x - 32 = 0
x (x + 8) - 4 (x + 8) = 0
(x - 4)(x + 8) = 0
Thus, Jamal is incorrect because x2+4x−32 is equivalent to (x−4)(x+8). Option C is correct.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option A, 168 km³
Step-by-step explanation:
Volume of the rectangular prism,
7×4×6
= 168
3a
[tex] \frac{3a + a {}^{2} }{a} [/tex]
Simplify.
Answer:
(3+a)
Step-by-step explanation:
3a + a^2
-------------
a
Factor out an a in the numerator
a(3+a)
-------------
a
Cancel like terms
(3+a)
Step-by-step explanation:
[tex] \frac{3a + {a}^{2} }{a} \\ = \frac{3a}{a} + \frac{ {a}^{2} }{a} \\ = 3 + a \\ thank \: you[/tex]
999999999999999*22222222222222
Answer:
22222222222221977777777777778
Step-by-step explanation:
I hope it is clear for you. please rate brainliest
Answer: 2.22222222E+28
Step-by-step explanation:
please click thanks and mark brainliest if you like :)
Multiply. (2x - 3)(x + 4) a 2x² + 11x - 12 b 2x² + 5x - 12 c 2x² + 11x - 7 d 2x² + 3x - 7
Answer:
2x^2 +5x-12
Step-by-step explanation:
(2x - 3)(x + 4)
FOIL
first 2x*x = 2x^2
outer 2x*4 = 8x
inner -3x
last -3*4 = -12
Add these together
2x^2 +8x-3x-12
Combine like terms
2x^2 +5x-12
Simplify the expression in simplest form (3x - 5)x4 +2
Answer:
12x-8
Step-by-step explanation:
We can use PEMDAS to solve this expression.
P: Parenthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
The first step to do is use the distribute property to simplify the parenthesis.
The second step will be to simplify the exponent, but there aren't any so we can skip that step.
The third is to multiply but we can skip that and division while we are at it because there isn't any we can do to simplify.
The fourth step will be to add -20 with 2. We then get -18.
And finally, we have our answer
(3x - 5)x4 +2
12x-20+2
12x-18
20 POINTS!!! Please Help! No nonsense answers please!
Answer:
[tex](2-\sqrt{7}, 2+\sqrt{7})[/tex]
Step-by-step explanation: