Answer:
The rate that the distance between the police car and car is changing = 3 m/s
Step-by-step explanation:
The given speed of the police car = 35 mph
The speed of the speeding car = 30 mph
The position of the police car = 0.75 miles north
The position of the speeding car = 1 miles east
The distance of the police car from the speeding car, d = √(0.75² + 1²) = 1.25
d² = x² + y²
2d·dd/dt = 2x·dx/dt + 2·y·dy/dt
Where;
dx/dt = 30 mph
dy/dt = -35 mph
x = 1
y = 0.75
Substituting gives;
2×1.25 ×dd/dt = 2×1×30 - 2×0.75×35
2×1.25 ×dd/dt = 7.5
dd/dt = 7.5/2.5 = 3
dd/dt = 3 m/s
The rate that the distance between the police car and car is changing = dd/dt = 3 m/s
Answer:
The answer is increasing by 3 mph
Step-by-step explanation:
6) Which list shows how many equal-sized groups of 18 students Ms. Lee can make?
1, 2, 3, 4, or 6
7, 9, 14, 18, or 28
1, 2, 3, 6, 9, or 18
1, 2, 4, 7, 14, or 28
Answer:
1,2,3,6,9
Step-by-step explanation:
Got it right
You spin the spinner twice. Find the probability of spinning a 2 then a number greater than 2. ( 6 spaces)
Answer:
1/9
Step-by-step explanation:
You take 1/6 times 4/6 which equals 1/9.
Hope that helped! :)
Three times a number increased by 8 is no more than the number decreased by 4. Find the number.
Answer:
(-oo, -6]Step-by-step explanation:
Let the number be x
3x + 8 ≤ x - 43x - x ≤ -4 - 82x ≤ -12x ≤ -6x = (-oo, -6]There are 14 boys and 13 girls in a class. Write the ratio of boys
to girls.
Answer
The answer is 14:13
enter your answer as a number like this:42
n Huda evaluated the expression below. -3(8-5)--(-7) -3(3)- - (-7) -3(9)-(-7) 27-(-7) What was Huda's error? Huda evaluated (3) 2 incorrectly. 0 Huda found the product of -3 and 9 as positive. Huda subtracted -7 from 27 incorrectly. Huda did not follow the order of operations.
Answer:
B
Step-by-step explanation:
A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1, 040 gallons after 9
minutes. How long would it take for the pool to be completely drained? (1 point)
Answer: 35 minutes
Step-by-step explanation:
For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:
= (1320 - 1040) / (9 - 2)
= 280/7
= 40 gallons per minute
Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:
= 1320 gallons + (40 × 2)
= 1320 gallons + 80 gallons
= 1400 gallons
The time taken for the pool to be completely drained will be:
= Total water in pool / Gallons drained per minute
= 1400 / 40
= 35 minutes
Which of the following units are units of capacity?
A)ml
B)mm
C)tonne
D)mg
E)cl
F)kg
G)cm
H)km
I)m
j)g
K)l
Answer:
A, D, E, F, J, and L
Explanation :
These units can hold things!
Work out the value of the expression 2(a +5b) when a=4 and b=3
Answer:
38
Step-by-step explanation:
2(4+5(3))
2(4+15)
2(19)
38
Answer:
38
Step-by-step explanation:
2(4+5*3)
2(4+15)
2(19)
38
Please help me 100 POINTS!
Answer:
1.y=3x
2.y=-3x+4
3.y=1.5x-7
4.y=7
5.y=-1.5x-4
Step-by-step explanation:
1.m=3,b=0
2.m=-3,b=4
3.m=1.5,b=7
4.m=0,b=7
5.m=-1.5,b-4
hope it helps po
Answer:
see below and attached
Step-by-step explanation:
y=3xm = 3
b = 0
y = -3x + 4m = -3
b = 4
y = -1.5x + 7m = 1.5
b = 7
y = 7m = 0
b = 7
y = -1.5x - 4m = -1.5
b = -4
Help is it b???????????????
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Vertically opposite angles are equal
please help, i need to know this answer!!
Answer:
It is d
Step-by-step explanation:
what is the measure of <x
Answer:
14°
Step-by-step explanation:
We know that ∠PQS is a right angle.
We also know that ∠PQR is 76°.
So, to find ∠RQS, we can do 90°-76° = 14°
x° = 14°
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{x = 14 \degree}}}}[/tex]
Step-by-step explanation:
♨ First , let's know about complementary angles :
Two angle are said to be complementary if the sum of their measures is 90° .The best way to think of a complementary angle is ' L - Pattern ' .✎ Now, set up an equation and solve for x :
[tex] \sf{x \degree + 76 \degree = 90 \degree}[/tex]Move 76° to R.H.S ( Right Hand Side ) and change it's sign
➺ [tex] \sf{x \degree = 90 \degree - 76 \degree}[/tex]
➺ [tex] \boxed{ \bold{ \sf{x \degree = 14 \degree}}}[/tex]
And we're done !
Hope I helped!
Have a wonderful time ! ツ
The question is in the image! Please help if u can its due really soon
Answer:
88°
Step-by-step explanation:
m∠AOB = m∠DOE = 88°
A line passes through point (8, -2) and has a slope of -5/4
Write an equation in Ax+By= C form for this line.
Use integers for A, B, and C.
show work on how you got it
Answer:
4y+5x=32
Use slope intercept form, then change to Ax+By= C form.
Find the angle measure.
Angle E
Triangle ABC is an isosceles triangle. This means that base angles A and C are the same measure.
Triangle CDE is also isosceles. This means that angles C and D are the same measure.
The hatch marks shown in both triangles clearly indicate this fact of geometry.
So, if angle C is 40 degrees, C and D must be 70 degrees each because the sum of the angles in a triangle is 180 degrees.
Angle C = 70 degrees.
Question 6 (1 point) Fossils are usually found in sedimentary rock. O True O False
Answer: true
Step-by-step explanation:
In 56 years, Kevin will be 999 times as old as he is right now.
Answer:
55,944
Step-by-step explanation:
Answer:Wont that mean he would be dead? Or is he like a type of animal that lives for a very long time?
Step-by-step explanation:
I need this last one I would give all my pints bcz I don’t understand it
the one dot by itself is 6,-5 and the line that is pink with two black dots are the slope-intercept of the equation y=3/4x-2 and theirs the answer copy and paste my image and quote to answer the question.
Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?
Answer:
-24/12= -2
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
If I'm wrong please tell me
Can someone please help me?
Answer:
$2000
Step-by-step explanation:
The value of the savings account is
v(m) = 2000(1.005)^m
where m is the number of months.
Compare with the formula for compound interest,
F = P(1 + r)^(nt)
where P = principal amount invested.
Answer: $2000
can you help me and explain how you got that answer also I only have 8-10 mins to finish this please help me
Answer:
I'm not sure on the first but the second is -32
and in the third 25,000 represents the starting value of the car.
WORK:
2:
h(-5)=(-5)^2 -7
h(-5)=-25-7
h(-5)=-32
(3x2)(−2x4) = 3(−2)x2∙4 = 6x8
Could you please find out what's wrong and say what should be there instead? The problem is : (3x to the power of 2 ) (-2x to the power of 4) = 3(-2)x to the power of 2.4 = 6x to the power of 8
Answer:
The correct answer is -6x⁶
Step-by-step explanation:
Given that:
[tex]3x^2 ( - 2x^4 ) \\ \\ =3(-2)x^{2.4} \\ \\ = 6x^8[/tex]
From the second step above, using the law of indices the correct format should be
[tex]= (3\times -2)x^{2+4}[/tex]
So, the problem lies where we have 2.4, it is not supposed to be (2*4). It supposed to be 2+4 because the law of indices states that we multiply the index together and add their power.
Then the result of that yields
= -6x⁶
In the third step, they also omit the negative sign, when multiplying (3 * -2).
Thus, the correct answer is -6x⁶
Someone help me with this please
Graph y = 5/3x - 9
Answer:
The answer is in the attached screenshot
the Y intercept is 9
the slop is 5/3
hope this helps.
Step-by-step explanation:
May I have brainliest please? :)
Answer:jdjej
Step-by-step explanation: so u can give him brainliest
find the range value of x which satistfy inequality (x + 2)² > 2x + 7
Answer:
the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]
Step-by-step explanation:
We need to find the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex]
Solving:
[tex](x + 2)^2 > 2x + 7[/tex]
Using formula: [tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex]x^2+4x+4>2x+7\\x^2+4x+4-2x-7>0\\x^2+4x-2x+4-7>0\\x^2+2x-3>0[/tex]
Now factoring the term: [tex]x^2+2x-3>0[/tex]
Breaking the middle term: 2x= 3x-x
[tex]x^2+2x-3>0\\x^2+3x-x-3>0\\x(x+3)-1(x+3)>0\\(x-1)(x+3)>0\\x-1>0 \ or \ x+3>0\\x>1 \ or \ x<-3[/tex]
So, the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]
What is an equation of the line that passes through the points (3,4) and (−4,−3)? Put your answer in fully reduced form
Answer:
The equation of the line is y = x + 1
Step-by-step explanation:
The equation of the line is y = m x + b, where
m is the slope of the lineb is the y-interceptThe rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ The line passes through points (3, 4) and (-4, -3)
∴ x1 = 3 and y1 = 4
∴ x2 = -4 and y = -3
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{-3-4}{-4-3}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = 1(x) + b
∴ y = x + b
→ To find b substitute x by 3 and y by 4 in the equation
∵ 4 = 3 + b
→ Subtract 3 from both sides
∵ 4 - 3 = 3 - 3 + b
∴ 1 = b
→ Substitute it in the equation
∴ y = x + 1
∴ The equation of the line is y = x + 1
HELP ME NOW HURRY ASAP PLEASE
Four tenths of a number increased by the second number equals 19. One tenth of the first number decreased by the second number is equal to 1. What are the two numbers?
Answer:
The two numbers are 40 and 3
Step-by-step explanation:
Assume that the first number is x and the second number is y
∵ Four tenths = [tex]\frac{4}{10}[/tex] = 0.4
∵ One tenth = [tex]\frac{1}{10}[/tex] = 0.1
∵ Four tenths of 1st number increased by the 2nd number equals 19
∵ The 1st number = x and the 2nd number = y
∴ 0.4x + y = 19 ⇒ (1)
∵ One tenth of the 1st number decreased by the 2nd number is equal to 1
∴ 0.1x - y = 1 ⇒ (2)
Now we have a system of equations to solve it
→ Add equations (1) and (2) to eliminate y
∵ (0.4x + 0.1x) + (y + -y) = (19 + 1)
∴ 0.5x + 0 = 20
∴ 0.5x = 20
→ Divide both sides by 0.5 to find x
∵ [tex]\frac{0.5x}{0.5}[/tex] = [tex]\frac{20}{0.5}[/tex]
∴ x = 40
→ Substitute the value of x in equation (1) or (2) to find y
∵ 0.4(40) + y = 19
∴ 16 + y = 19
→ Subtract 16 from both sides
∴ 16 - 16 + y = 19 - 16
∴ y = 3
∴ The two numbers are 40 and 3
Find the theoretical probability.
Simplify completely.
Answer:
[tex] \frac{1}{8} [/tex]
Answer:
The correct answer is 1/4!
Step-by-step explanation:
On Acellus
Have a great day!
A chorus teacher is arranging students on bleachers for a performance. The 1st row of the bleachers has 10 students, the 2nd row has 14 students, the 3rd row has 18
students, and the 4th row has 22 students.
Assuming the trend continues, how many students will be on the 6th row of the bleachers?
Assuming the trend continues, there will be 30 students on the 6th row of the bleachers.
According to the question,
We have the following details:
Number of students in 1st row = 10
Number of students in 2nd row = 14
Number of students in 3rd row = 18
Number of students in 4th row = 22
Now, if we carefully observe the arrangement made by the chorus teacher, we will observe that the arrangement has a pattern.
It is to be noted that with each row 4 students are increasing.
For example, in 2nd row the number of students is 14 (4 more than the previous row), in 3rd row the number of students is 18 (4 more than the previous row), etc.
Now, we have to find the number of students in 6th row. So, first we need to find the number of students in 5th row.
Number of students in 5th row = number of students in 4th row + 4
Number of students in 5th row = 22+4
Number of students in 5th row = 26
Now,
Number of students in 6th row = number of students in 5th row + 4
Number of students in 6th row = 26+4
Number of students in 6th row = 30
Hence, there are 30 students on the 6th row of the bleachers.
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