Step-by-step explanation:
janine is running 10 kilometer per 60 minutes
means janine runs 1 km in
=60/10
=6
since,Janine runs 1 km per 6 minutes
how much time does janine takes to run 15 km
=15 ×6
=90
Therefore Janine takes 90 minutes to run 15 km ie1 hour 30 minutes
Jane't solves the inequality 23x+7≤5 and shows her solution on a number line, as shown below. x ≥ 3 All values of x ____________ to _________ make the expression have a value to ______________.
Answer:
values of x that makes the expression true are less than -2/23
Step-by-step explanation:
GIven the expression
23x + 7 ≤5
Subtract 7 from both sides
23x+7-7 ≤5 -7
23x < -2
x ≤ -2/23
Hence the values of x that makes the expression true are less than -2/23
Which table represents a quadratic function?
f(x)
x
x
fx)
f(x)
x
f(x)
-4
-5
-4
-4
2
-10
-4
0.5
47
-2
-2
-2
1-6
-2
1
ok
10
0
1
0
2
0
2
2
-7
N
4
2
6
co
N
4
4
2
4
7
4
10
4
8
0
9514 1404 393
Answer:
see below
Step-by-step explanation:
The x-values in each table are evenly-spaced (increasing by 2). So, the quadratic function can be identified by its second differences: they will be a non-zero constant.
Table 1 has first differences that are constant at 3. -2-(-5) = 3, for example. It represents a linear function.
Table 2 has first differences of 4, 8, 4, 4, neither constant, nor linearly increasing. The function does not have a name.
Table 3 has first differences of -9, -3, +3, +9, and these have differences of +6. This represents a quadratic function.
Table 4 has first differences of 0.5, 1, 2, 4. These have a constant ratio, as do the values in the table. It represents an exponential function.
The table that represents a quadratic function is C. Table 3.
What is a quadratic function?A quadratic function simply means a function that's in the form of f(x) = ax² + bx + c.
In this case, the table that represents a quadratic function is table 3. It has first differences of -9, -3, +3, +9, and these have differences of +6. It can be deduced that in the quadratic function, b and x are numbers.
Learn more about quadratic function on:
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What is the surface area of the right rectangular prism?
Answer:
Hello! answer: 250
Step-by-step explanation:
10 × 5 = 50
10 × 5 = 50
10 × 5 = 50
10 × 5 = 50
5 × 5 = 25
5 × 5 = 25
50 × 4 = 200
200 + 25 + 25 = 250 the total surface area is 250 hope that helps!
A rectangle has an area of 500 square meters. If it's length is 4x-3 meters and it's width is 2x+6 meters, what is the actual width of the rectangle?
Answer:
25 meters .
Step-by-step explanation:
The actual width of the rectangle is 24.5 meters.
What is area of rectangle?The area of rectangle equals the base(width) times the height.
A = w × h
Given
Area of rectangle = 500 square meters.
Length of rectangle = 4x - 3 meters
Width of rectangle = 2x + 6 meters
Area of rectangle = length × width
500 = (4x - 3) (2x + 6)
⇒ 500 = [tex]8x^{2}+24x-6x-18[/tex]
⇒ 500 = [tex]8x^{2}+18x-18[/tex]
⇒ 500 = [tex]2(4x^{2}+9x-9)[/tex]
⇒ [tex]\frac{500}{2}=4x^{2}+9x-9[/tex]
⇒ [tex]250=4x^{2}+9x-9[/tex]
⇒ [tex]4x^{2}+9x-9-250=0[/tex]
⇒ [tex]4x^{2}+9x-259=0[/tex]
⇒ 4x(x + 7) -37(x + 7) = 0
⇒ (x + 7) (4x - 37) = 0
⇒ x = -7, x = [tex]\frac{37}{4}[/tex]
-7 is not satisfied because it is a negative number.
By substituting x = [tex]\frac{37}{4}[/tex] in width of rectangle
Actual width of rectangle = 2x + 6
= 2( [tex]\frac{37}{4}[/tex]) + 6
= [tex]\frac{37}{2}[/tex] + 6
= [tex]\frac{37+12}{2}[/tex]
= [tex]\frac{49}{2}[/tex]
= 24.5 meters
Hence, the actual width of the rectangle is 24.5 meters.
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on the product by rounding to the nearest that NO LINKS
Arithmetic
To round, go to the length behind it.
2,413
If it is four or under, you keep the four and, you must turn everything to the left side to zero.
If it is five and up, turn the number into 3000.
Note: This cannot be rounded to 2,500 and 2,400 due to the question being asked.
Meaning, the equation formed is:
5x2,000=10,000
Answer: 10,000
Step-by-step explanation:
the equation is 5 x 2000=10,000
because 1 - 4 let it stay and 5-9 higher up the grade so is was a 2 but you don’t look at the 2 it depends on the number that’s next to it which is 4 and that Means it stays and everything turns into a zero except the two remains it means 5×2000 = 10,000
i hope this helps
What is an equation of the line that passes through the points (6, -3)and (−6,−5)?
Answer:
y = 1/6x -4
Step-by-step explanation:
First find the slope
m= ( y2-y1)/(x2-x1)
m=(-5 - -3)/( -6 -6)
= (-5+3)/ (-6-6)
= -2/-12
= 1/6
The slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 1/6 x +b
Substitute a point into the equation
-5 = 1/6(-6) +b
-5 = -1+b
Add 1 to each side
-4 = b
y = 1/6x -4
Answer:
y=1/6x-4
Step-by-step explanation:
Which of the following is a rational number but not an integer?
74, 3/10, -25, or 170
Answer:
3/10Step-by-step explanation:
As,
Integers includes whole numbers, and negative of the whole numbers.
And Rationals includes every fraction, Integers and negative fraction.
So,
170, -25, and 74 are both Integers and Rationals.
But,
Only 3/10 is a fraction included only in rationals and not in Integers
Math help please show work thanks so much
Answer:
1.1+2. =3
2.1+2+3 =6
3.1+2+3+4 =10
4.1+2+3+4+5=15
5.1+2+3+4+5+6=21
6.1+2+3+4+5+6+7=28
triangle numbers
Answer:
Step-by-step explanation:
Diagram (n) Number of circles ([tex]T_n[/tex])
1 3
2 6
3 10
4 15
5 21
6 28
Pattern:
[tex]T_n = \frac{(n+1)(n+2)}{2}[/tex]
Where n = diagram number,
OR
Diagram Number of circles
1 1 + 2
2 1 + 2 + 3
3 1 + 2 + 3 + 4
4 1 + 2 + 3 + 4 + 5
5 1 + 2 + 3 + 4 + 5 + 6
6 1 + 2 + 3 + 4 + 5 + 6 + 7
n 1 + 2 + 3 + 4 + 5 + . . . + (n + 1)
what is meaning of volume
Step-by-step explanation:
Volume is the measure of the capacity that an object holds. For example, if a cup can hold 100 ml of water up to the brim, its volume is said to be 100 ml. Volume can also be defined as the amount of space occupied by a 3-dimensional object or solid shape.
Answer:
the amount of space that a substance or object occupies.
basically the volume of a container, like space in a container.
Mind answering this? It's due in a few days and I'll give the correct answer Brainliest.
Match the values of a, b, and c given the equation in the standard form below:
h = -16t^2 + 8t + 24
Answer:
a = -16 b = 8 and c =24
Step-by-step explanation:
h = -16t^2 + 8t + 24
A quadratic function can be in the form
ax^2 + bx+c
Replace x with t
-16 is the coefficient of the squared term 8 is the coefficient of the linear term and 24 is the constant
a = -16 b = 8 and c =24
Help me answer ??????
Answer:
the triangle is not a right angle
Step-by-step explanation:
5²+12²=169
15²=225
what is x the missing side length in triangle DEF
Answer:
x = 9.75
Step-by-step explanation:
We know that Triangle ABC and DEF are congruent, therefore;
[tex]\frac{CB}{FE} = \frac{AB}{DE}[/tex]
[tex]\frac{12}{9 }=\frac{13}{x}[/tex]
=> 12*x = 9*13
=> 12x = 117
=> x = 117 / 12
=> x = 9.75
Hope this helps!
Need help ASAP please and thank you
Bob's car uses 6 L of gasoline per 100 km. How many litres of gas
will he use for a 400 km trip?
A circular plate has circumference 27 inches. What is the area of this plate? Use 3. 14 for a The area of this plate is about square inches (Round the final answer to the nearest whole number as needed Round all intermediate values to the nearest thousandth as needed)
Answer:
58.01 in^2
Step-by-step explanation:
Which of the following expressions is correctly written in scientific notation?
Answer:
The 3rd choice.
Step-by-step explanation:
The third choice has what it takes to be a scientific notation.
I need a very detailed in depth explanation of laws of Sine and Cosine. (With examples, Law rules etc.)
Answer:
A law stating that the square of a side of a plane triangle is equal to the sum of the squares of the other two sides minus twice the product of the other sides multiplied by the cosine of the angle between them.As we learned, sine is one of the main trigonometric functions and is defined as the ratio of the side of the angle opposite the angle divided by the hypotenuse. It's important for finding distances or height and can also be used to find angle measures, which are measured in radians.Law of cosines signifies the relation between the lengths of sides of a triangle with respect to the cosine of its angle. ... If ABC is a triangle, then as per the statement of cosine law, we have: a2 = b2 + c2 – 2bc cos α, where a,b, and c are the sides of triangle and α is the angle between sides b and c.RULE OF LAW Defined
The rule of law is a principle of governance in which all persons, institutions and entities, public and private, including the State itself, are accountable to laws that are publicly promulgated, equally enforced and independently adjudicated, and which are consistent with international human rights norms and standards. It requires, as well, measures to ensure adherence to the principles of supremacy of law, equality before the law, accountability to the law, fairness in the application of the law, separation of powers, participation in decision-making, legal certainty, avoidance of arbitrariness and procedural and legal transparency.A rule of law framework that includes the following:
Constitution or its equivalent, as the highest law of the land;A clear and consistent legal framework, and implementation thereof;Strong institutions of justice, governance, security and human rights that are well structured, financed, trained and equipped;Transitional justice processes and mechanisms; A public and civil society that contributes to strengthening the rule of law and holding public officials and institutions accountable.[tex]\color{yellow}{}[/tex]
Given v = u + 5t; Find v when u= -15 and t=4
v = u + 5t
v = -15 + 5(4)
v = -15 + 20
v = 5
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]v = u + 5t[/tex]
Given,
[tex]u = - 15 \\ t = 4 \\ v = \: ?[/tex]
To find the value of v, we must substitute the values of u & t in the equation ⇻ v = u + 5t.
[tex]v = u + 5t \\ v = ( - 15) + 5(4) \\ v = - 15 + 20 \\ v = 5[/tex]
✐ The value of v is 5.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
What is the solution set for -2n – 2 > 2?
Answer:
n < -2
Step-by-step explanation:
-2n – 2 > 2
-2n (– 2 + 2) > 2 + 2
-2n > 4
-2n/-2 > 4/-2
n < -2
A sighting is made of a sailboat from a lighthouse. If the lighthouse is 123.5 m above
the level of the water, how far is the sailboat from the shore if the angle of depression
is 18°?
△ABC is congruent to △DEF. What is the value of x? Explain how you determined your answer.
Answer:
3
Step-by-step explanation:
It is 3 because fi you multiply 5 by 3 you get 15, and if you multiply 10 by 3 you get 30. Subtract 30 by 6 and get 24. And finally, if you multiply 2 by 3 it gives you 9. 9+12= 21.
Mrs. Lia has 11 pounds of modeling clay. She divides the clay into 1 2 - pound blocks. If Mrs. Lia sets aside 7 of the blocks and gives the rest to the students in her art class, how many 1 2 - pound blocks of clay does Mrs. Lia give to her class?
Answer:
Assuming she is dividing into 1/2 lb blocks.
15 of the 1/2 lb are given to the class.
Step-by-step explanation:
She can make 22 of the 1/2 lb blocks out of 11 lbs. If she sets aside 7, then 22-7=15. She has 15 of the 1/2lb blocks left to give to the class.
¿Cuál es la energía cinética de un objeto de masa igual a 30 kg que se desplaza a una velocidad de 25 m/s?
Answer:
9,375 J
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Mass (m) = 30 kg
Moving speed or Velocity (v) = 25 m/s
So, we can calculate kinetic energy by using following formula,
Kinetic energy = (1/2)m[tex]v^{2}[/tex]
By putting the value in the formula, we get
Kinetic energy = (1/2) 30 × [tex]25^{2}[/tex]
= 15 × 625
= 9,375 J
Can someone please help me out
Answer:
x = 8, A = 182 units²
Step-by-step explanation:
The perimeter P of a rectangle is calculated as
P = 2l + 2b ( l is the length and b the breadth )
Given P = 66, then
2(7) + 2(3x + 2) = 66 ← distribute and simplify left side
14 + 6x + 4 = 66
6x + 18 = 66 ( subtract 18 from both sides )
6x = 48 ( divide both sides by 6 )
x = 8
Then
3x + 2 = 3(8) + 2 = 24 + 2 = 26, so
A = 7 × 26 = 182 units²
The level of the tide in a harbor changes from 813 8 1 3 feet to 256 2 5 6 feet above sea level over a period of 212 2 1 2 hours. What is the change in tide level per hour over this period of time? Feet per hour
Answer:
-2.63 ft./hour
Step-by-step explanation:
The level of the tide in a harbor changes from 813 feet to 256 feet above sea level over a period of 212 hours. What is the change in tide level per hour over this period of time?
Solution:
The initial tide level was 813 feet while the final tide level was 256 feet above sea level within a period of 212 hours.
The change in tide level per hour is the ratio of the change in tide level to the period taken. Hence:
Change in tide level per hour = (Final tide level - initial tide level) / time taken
Change in tide level per hour = (256 ft. - 813 ft.) / 212 hours
Change in tide level per hour = -2.63 ft./hour
Which expression is equivalent to
НЕ
оооо
Answer:
q^12
Step-by-step explanation:
q^6^2
We know that a^b^c = a^(b*c)
q^6^2 = q^(6*2) = q^12
Which ratio is equivalent to the ratio 32:40?
A 16 to 20
B 30:16
C 16 to 30
D 20:16
Answer:
A, 16 to 20
Step-by-step explanation:
32 / 2 = 16
40 / 2 = 20
How many quarts are in 583.7 liters? Round to the nearest tenth.
Answer:
616.8
Step-by-step explanation:
look it up
Answer:
616.8 quarts
Step-by-step explanation:
HELP PLZZZZZZZZZZZZZZZZZ
For the following geometric sequence find the explicit formula.
{12, -6, 3, ...}
Answer:
Tn = 12(-1/2)^n
Step-by-step explanation:
We have the nth term of a geometric sequence as
Tn = ar^n-1
a is the first term
r is the common ratio
n is term number
by dividing the second term by the first, we can have the common ratio
We have this as -6/12 or 3/-6 = -1/2
a the first term is 12
So we have the explicit formula as;
Tn = 12(-1/2)^n