Answer:
640 feet.
Step-by-step explanation:
Let d represent the distance required to stop and let s represent the speed of the car.
The distance required to stop varies directly as the square of its speed. In other words:
[tex]d=ks^2[/tex]
Where k is the constant of variation.
250 feet are required to stop a car traveling 60 miles per hour. Substitute:
[tex](250)=k(60)^2[/tex]
Simplify and solve for k:
[tex]\displaystyle 3600k=250\Rightarrow k=\frac{250}{3600}=\frac{25}{360}=\frac{5}{72}[/tex]
So, our equation is:
[tex]\displaystyle d=\frac{5}{72}s^2[/tex]
Then the distance required to stop a car traveling 96 miles per hour will be:
[tex]\displaystyle d=\frac{5}{72}(96)^2=\frac{5}{72}(9216)=640\text{ feet}[/tex]
The valuesStartRoot 10 EndRoot and StartRoot 15 EndRoot are plotted on the number line.
Jude arrived at work 7:55 am and left at 4:15pm . For how long was he at work
Answer:
500 minutes= 8.33 hr
Step-by-step explanation:
The number of hours that he works will be 8 hours and 20 minutes.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Jude arrived at work at 7:55 am and left at 4:15 pm.
Convert the time into 24 hours system. Then we have
4:15 pm = 16: 15
7:55 am = 7: 55
Then the number of hours is given as,
16: 15
- 7: 55
8: 20
Then the number of hours that he works will be 8 hours and 20 minutes.
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John had a total of $150. He purchased a DVD box set which costs $50 as well as a single DVD. He is left with $75. Which equation could be used to find the cost p of the DVD?
a. 150 + 50 + p = 75
b. 150 + 50 + 75 = p
c. 150 − 50 + 75 = p
d. 50 + p + 75 = 150
ps: absurd answers will be reported !!
Answer:
please mark as brilliant
Could someone please help and explain how to do this
Answer:
Step-by-step explanation:
just remember that [tex]\sqrt{x} = x^{1/2} ....... \sqrt[3]{x} = x^{1/3} \\also that (x^{a})^{b} = x^{a*b}[/tex]
1) x^3 = x^ (3/4) ===> FALSE
2) x^3/4 = x^3/4 ===> TRUE
3) x^3/4 = x^3/4 ===> TRUE
4) x^(4/3) = x^(4/3) ===> TRUE
Answer:1) x^3 = x^ (3/4) ===> FALSE
2) x^3/4 = x^3/4 ===> TRUE
3) x^3/4 = x^3/4 ===> TRUE
4) x^(4/3) = x^(4/3) ===> TRUE
Step-by-step explanation:
Arithmetic Sequences
Find the missing term. . . . 14, __, 28, . . .
Answer:
21
Step-by-step explanation:
goes up by 7
Recall that variables represent changing values. In this unit, you will work with
equations that contain two different variables. What types of situations might be
modeled with equations containing two or more variables? If the value of one variable
changes, must the value of the other variable change for the equation to remain true?
How would the number of solutions for an equation with two variables differ from the
number of solutions for an equation with only one? Explain
Answer:
It depends on the equations and the variables.
Example of an equation in 2 variables with infinitely many solutions:
sin2x - cos2y + cos2x - sin2y = 0
Example of an equation in 1 variable with 2 solutions:
(x - 1)(x - 2) = 0
Example of 2 equations in 2 variables with no solution:
The intersection of the lines given by
y = 3x + 1
y = 3x + 2
Example of an equation in 1 variable with 1 solution:
5x - 4 = 15
Example of an equation in 1 variable with no real solution:
x2 + 49 = 0
We can go on and on with examples like this. The question is way too general.
Step-by-step explanation:
please mark as brainliest
please mark as brainliest
Please solve with explanation
Answer:
56+8√2=8(7+√2)
Step-by-step explanation:
1. P= AB+BC+CD+DE+EF+FG+GA
2. AB=DC=12
BC=16
AG=ED=4
AG+ED+GE=16
4+4+GE=16
GE=16-8
GE=8
GF²= EF²+GE²
GF²=64+64
GF²=128
GF=8√2
3.P= 12+16+12+4+8+8√2+4= 56+8√2
Answer:
Area = 160 sq cm
Perimeter = 67.31 cm
Step-by-step explanation:
Area of the figure = Area of rectangle with dimensions 16 cm and 12 cm - Area of the right triangle with base and height ecah 8 cm.
=16*12 - 1/2 * 8 *8
= 192 - 32
= 160 sq cm
GEF is a right triangle.
Therefore, by Pythagoras theorem:
[tex] FG^2 = FE^2 + GE^2 [/tex]
[tex] \therefore FG^2 = 8^2 + 8^2 [/tex]
[tex] \therefore FG^2 = 64+64 [/tex]
[tex] \therefore FG^2 = 128 [/tex]
[tex] \therefore FG =\sqrt {128}[/tex]
[tex] \therefore FG =11.3137085[/tex]
[tex] \therefore FG = 11.31\: cm[/tex]
Perimeter of the figure
= 12 + 16 + 12+4+8+11.31+4
= 67.31 cm
John has 12 tissues, but they caught on fire, because his older brothers a pyromaniac.
So John has to eat his boogers. He has to do it precisely, without accidentally scratching his nose and bleeding, so he has to go slow.
How long does it take for him to eat his boogers? Sometimes, he has a friend join him, and they eat their own boogers in each others presence. How long would that take?
A. 12 minutes.
B. 20 Minutes for each person.
C. An Hour.
D All day.
Answer:
Dude wt,f? The answer is B. Obviously.
Step-by-step explanation:
COMMON SENSE
complete the table of values for y=2x+3
Find the gradient of the line y=4x-7
Answer:
4
Step-by-step explanation:
Answer:
gradient = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
y = 4x - 7 ← is in slope- intercept form
with gradient m = 4
A diver was at 58m below sea level.The diver swam up 4m every 12 seconds. Where is the location of the diver after 2 minutes?
Answer:
18 metres below sea level.
Step-by-step explanation:
Since the diver swims up 4 metres every 12 seconds, that means the diver swims up 4 * (60/12) metres = 20 metres every minute. Therefore, he will have swum up 20 * 2 = 40 metres after 2 minutes. Factoring in the diver's original position, -58m, we can calculate his position to be -58 + 40 metres = -18 metres, meaning 18 metres below sea level.
Hope this helped!
Answer:
18 m below sea level
Step-by-step explanation:
QUICK I NEED HELP! I WILL MARK BRAINLIEST!
Answer:
go a head what can i help you with
Answer:
Step-by-step explanation:
[tex]y_A = 9x -3x - 4 \\y_A = 6x - 4\\\\y_B = 12x - 4\\\\y_C = 5x + x - 4\\y_C = 6x -4[/tex]
Standard equation of a line with slope, m and y - intercept b is y = mx + b.
Clearly. for the second equation has a different coefficient for x.
a ) The coefficient for x , is the slope of the line.
Though the y - intercept for each equation is same = - 4.
For example :
Expression A = 2 , when x = 1
Expression B = 8 , when x = 1
Expression C = 2 , when x = 1
b) From above :
[tex]y_A \ and \ y_C \ are \ the \ same \ expression.[/tex]
c) Expression A and C are equivalent because the coefficient of x
is the same for A and C.
Please help I’ll give brainliest
What is the slope of the line? − 3 x + 5 y = 2 x + 3 y
Answer:
m=5/2
Step-by-step explanation:
just did
Convert log_8 1=0 into an exponential equation
o 1^0=8
O 0^8=1
o '8^0=1
o '8^=8
Given:
The logarithmic equation is:
[tex]\log_81=0[/tex]
To find:
The exponential equation for the given logarithmic equation.
Solution:
We have,
[tex]\log_81=0[/tex]
It can be rewritten as:
[tex]8^{\log_81}=8^{0}[/tex]
Using [tex]a^{\log_ax}=x[/tex], we get
[tex]1=8^0[/tex]
[tex]8^0=1[/tex]
Therefore, the correct option is C.
8. Find TN, MP, TQ, PT
Please and thank you!
Answer:
TN = 13 units
MP = 22 units
TQ = 6.93 units
PT = 13 units
Step-by-step explanation:
If T is a circumcenter of the given triangle MNP,
Measure of TN = Measure of TM = Measure of TN
By applying Pythagoras theorem in ΔMRT,
MT² = TR² + MR²
MT² = (12)² + 5²
MT = [tex]\sqrt{169}[/tex]
MT = 13
Measure of TN = 13 units
Since, TQ, TS and RT are the perpendicular bisectors of the sides MP, NP and MN respectively,
Measure of MP = 2(PQ)
= 2(11)
= 22 units
By applying Pythagoras theorem in ΔTQM,
MT² = TQ² + MQ²
(13)² = TQ² + (11)²
TQ = [tex]\sqrt{169-121}[/tex]
TQ = [tex]\sqrt{48}[/tex]
TQ = 6.93
Measure of PT = Measure of TN = 13 units
Decide if the answer to 8/7 x 12 is less than, greater than, or equal to 12.
A. equal to
B. less than
C. greater than
Answer:
Option C.
Step-by-step explanation:
Answer:
C. greater than
Step-by-step explanation:
Since 8/7 is greater than 1
multiply it by 12 will result in a larger number.
Write an equation that represent the value of an 8700 investment that has 9.1% interest rate compounded yearly y=a(b)^x
Answer:
future value = $8700(1.091)^x
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r) n
FV = Future value
P = Present value = 8700
R = interest rate = 9.1%
N = number of years = x
future value = $8700(1.091)^x
A spinner with 12 equal sections is spun. Each section is numbered 1 to 12. What Is the probability of landing on an odd number. A) 25% B) 75% C) 100% D) 50%
Answer:
D
Step-by-step explanation:
answer choices:
a. 122
b. 102
c. 138
d. 85
Answer:
option b
Step-by-step explanation:
The sum of the interior angles of a quadrilateral is 360°.
That is,
120 + y + 85 + 53 = 360
y = 360 - 120 - 85 - 53
y = 102
Answer:
Option B is correct
Step-by-step explanation:
Hint :
Sum of angles in quadrilateral = 360°
Simplify :
[tex] {y}^{o} + {120}^{o} + {85}^{o} + {53}^{o} = {360}^{o} \\ {y}^{o} + {258}^{o} = {360}^{o} \\ {y}^{o} = {360}^{o} - {258}^{o} \\ {y}^{o} = {102}^{o} [/tex]
Hope it is helpful...En el subnivel basica superior de la unidad manuela cañizares el numero de estudiantes que se alimentan de forma inadecuada ( grasa saturada ) el triple del numero de estudiantes que consumen alimentos saludables menos 8. Si existen 392 estudiantes entre los que consumen alimentos sludables y los que no se alimentan de forma adecuada palntea una ecuacion y determina ¿cuantos estudiantes se alimentan de manera saludable y cuantos estudiantes se alimentan inadecuadamente?
Answer:
La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.
Step-by-step explanation:
Existen 392 estudiantes entre los que consumen alimentos saludables y los que no se alimentan de forma adecuada. Esto es:
Estudiantes que se alimentan adecuadamente + Estudiantes que no se alimentan adecuadamente= 392
El numero de estudiantes que se alimentan de forma inadecuada es el triple del número de estudiantes que consumen alimentos saludables menos 8. El triple de un número se calcula multiplicando el número por 3. Entonces, siendo x la cantidad de estudiantes que se alimentan adecuadamente, la cantidad de estudiantes que no se alimentan adecuadamente se puede calcular como: 3*x - 8
Por lo que:
x + 3*x - 8= 392
Resolviendo:
x + 3*x= 392 + 8
4*x= 400
x= 400÷4
x= 100
Entonces: 3*x - 8= 3*100 -8= 300 - 8= 292
La cantidad de estudiantes que se alimentan de manera saludable es 100 y la cantidad de estudiantes que se alimentan inadecuadamente es 292.
What must be multiplied by 0.0426 to get 4260 ??
Answer:
[tex]{ \tt{let \: that \: value \: be \: { \bf{x}}}} \\ 0.0426 \times x = 4260 \\ { \tt{0.0426x = 4260}} \\ { \tt{x = \frac{4260}{0.0426} }} = 100000 \\ { \tt{answer = 100000}}[/tex]
0.0426 × y = 4260
y = 4260÷0.0426
y=100000
what is the scale factor from figure a to figure b
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides , B to A
The right vertical side of B is 2 units
The right vertical side of A is 4 units
scale factor = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
Given that f(x) = x^2 - 6x + 8 and g(x) = x – 2, find (f.g)(x) and express
the result in standard form.
Answer:
(F.g(x))=x^2-10x+24
Step-by-step explanation:
when when we have a composition function, like f of g of x, we put the second function g of x in place of every x in f of x,
so f(x)=x^2-6x+8
and we will put x-2 which is g(x) in the place of every x
so f(g(x))=(x-2)^2-6(x-2)+8
so we ca n simplify that into f(g(x))=x^2-4x+4-6x+12+8
which simplifies to f(g(x))=x^2-10x+24
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.
What expression represents the profit?
27x – 650
27x + 390
33x – 650
33x + 390
The expression which represents the profit is 33x + 390, the correct option is D.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
The polynomial= 2x3 + 30x – 130
The cost, in dollars, of producing the skateboard= 2x3 – 3x – 520.
Now,
To find the expression that represents the profit, we need to subtract the cost from the revenue. So, we have:
profit = revenue - cost
profit = (2x^3 + 30x - 130) - (2x^3 - 3x - 520)
profit = 2x^3 + 30x - 130 - 2x^3 + 3x + 520
profit = 33x + 390
Therefore, the expression will be 33x + 390.
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GUYS PLEASE HELP ME, PLEASE SHOW WORK AND I WILL MARK BRAINLEST!
helpppp i neeeed to know this in order to pass
B
The y-values go from at least -6 to at most 9 so B fits that
Answer:
-6 <=y <=9
Step-by-step explanation:
Which gives the correct values for points A,B,C, and D?
Answer:
The answer would be A
Step-by-step explanation:
Write and solve a real-world problem that involves finding the volume of a rectangular or triangular prism
Answer:
l
Step-by-step explanation:
a half + a quarter , HELP PLZ RNN
Answer:
Three quarter
Step-by-step explanation:
;]
Answer:
3/4
Step-by-step explanation:
1/2 + 1/4
2/4 + 1/4
2+1/4
3/4
