Answer :
It will take 5 hours for Rachel to catch up with Nick.Explaination :
Here we are given with two equations,
f = 7h + 20 (Equation No 1)f = 10h + 5 Equation No 2)So in order to calculate the number of hours (h). We would simply substitute the value of f in first equation. (i.e., keeping them equal)
>> 7h + 20 = 10h + 5
>> 10h - 7h = 20 - 5
>> 3h = 15
>> h = 15 / 3
>> h = 5
x = √2x-1
Simplify each equation. Make sure to check for extraneous solutions
x= V2 x-1
x-V2 x= -1
x+x = 1/V2
2x = 1/V2
x = 1/2V2
x = V2/4
Can a triangle have sides with the given lengths?
2 in, 4 in, 6 in
Answer:
NO
Step-by-step explanation:
Because the sum of the minor sides equals the measure of the major side, it must be less.
2 + 4 = 6
Hope this helps
HELP for (ii)…..how do we find a?
By using the information given on the graph, we can see that a = 3.
How to find the value of a?
Here we have an exponential of the form:
[tex]y = p*a^x[/tex]
And by looking at the graph, it passes through (0, 4) and (2, 36), so we can write:
[tex]4 = p*a^0\\\\36 = p*a^2[/tex]
From the first equation we get that p = 4, replacing that on the second one we get:
[tex]36 = 4*a^2\\\\36/4 = 9 = a^2\\\\\sqrt{9} = 3 = a[/tex]
So we conclude that a = 3.
If you want to learn more about exponential equations:
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find x ...............
In the first circle, x is the radius and also the hypotenuse of a right triangle with legs measuring 9 and 12. So by the Pythagorean theorem,
x² = 9² + 12² = 225 = 15² ⇒ x = 15
In the second circle, the chords AB and CD have the same length, and each of AP, BP, CP, and DP are radii of the circle and also have the same length. This means ∆ABP and ∆CDP are congruent, so the two labeled angles are also congruent, so x = 54.
One number is ten more than twice another. Their sum is one. Find the numbers.
answer:
x = 4
y = -3
steps :
x = 10 + 2y
x + y = 1
2y = x - 10 -> y = 1/2x - 5
x + y = 1 -> y = 1 - x
since theyre both equal to y they are equal to each other
1/2x - 5 = 1 - x
3/2x = 6
x = 4
plug 4 back where x is
y = 1 - 4
y = -3
https://brainly.com/question/13442163
Find the slope, if it exists, of the line containing the pair of points (1, -2) and (1, - 4).
Answer:
no answer
Step-by-step explanation:
1, -2 ; 1, -4 : -4-2/1-1 = no solution
Evaluate the determinant
Please solve with explanation (high points)
a) Angles ACB in ∆ABC and ECD in ∆EDC are congruent, since they form a vertical angle pair.
Angles ABC and EDC are clearly congruent, since they are both right angles.
The legs AB and ED are parallel, so angles BAC and DEC are congruent alternating interior angles.
Then ∆ABC is similar to ∆CDE by the angle-angle-angle postulate.
b) Because they're similar, corresponding sides occur in a fixed ratio, which tells us that
CD/BC = ED/AB
p/(5 cm) = (4 cm)/(6 cm)
p = 10/3 cm
All of the following are negative examples of how climate change has impacted the Earth EXCEPT...
A. Destruction of coral reefs
B. Extinction risk for animals
C. Longer farming season
Answer:
C is the answer
Step-by-step explanation:
C. is only saying how farming seasons would be longer and is not an example of how climate change has impacted the Earth.
Answer:
I believe the answer to your question is the third answer (C).
Step-by-step explanation:
The reason why I chose the third answer is because the destruction of coral reefs is bad because multiple organisms in the water rely on them and if it's destroyed there will be a chain reaction with the ecosystem in a bad way. In addition, it is also not an extinction risk for animals because it is also a disadvantage because biodiversity will decrease and that will also cause problems. I believe a longer farming season is the answer because food and other things that farmers have to grow will last for longer periods of time and won't really disrupt anything going on in the ecosystem I think. I hope this helps although it may be wrong. I am not an expert when it comes to this type of stuff.
What is true about open-end credit? OA It is not typically used for a single purchase but for many purchases over a period of time. B. This type of credit is sometimes referred to as a consumer loan. OC. This type of credit is commonly used for big ticket things like mortgages or car loans. Payments typically stay the same amount from month to month.
Answer:
Option B
Step-by-step explanation:
Open end credit 's biggest example is our credit card
You use credit card and take the money borrow from bank as per your requirement.If you pay in time your credit score increases else decreases.Option B is correct
The perimeter of a rectangle is 84cm if the width of rectanle is 16 cm Find its lenth.
what is :
2 tons + 10 pounds
And
4 tons + 10 pounds
and then explain it properly
2 tons + 10 pounds = 4,010 pounds
4 tons + 10 pounds = 8,010 pounds
Step-by-step explanation:
2,000 POUNDS EQUALS 1 TON.
a.) 2 tons = 2,000 X 2 = 4,000 pounds
4,000 pounds + 10 pounds = 4,010 pounds
2 tons + 10 pounds = 4,010 pounds
b.) 4 tons = 2,000 X 4 = 8,000 pounds
8,000 pounds + 10 pounds = 8,010 pounds
4 tons + 10 pounds = 8,010
Sophia is 12 years old. Her Uncle Reynald tells her that if she adds 5 to her age, multiplies the sum by 3, and then subtracts 4 from the product, she will find his age. She tells him that his age equals the expression 12 + 5 × 3 − 4 . Is Sophia correct? Choose the correct answers from the drop-down menus. Sophia is Choose... . Her uncle's actual age is Choose... .
Answer:
Yes, Sophia is correct
Step-by-step explanation:
The expression is correct and if you solve it, you get 23 which should be her uncle's age.
help will mark Brainliest!!
Answer:
1/20
Step-by-step explanation:
1/4 = 0.25
0.25 / 5 = 0.05
0.05 as a fraction = 5/100
simplified
5 / 5 = 1
100 / 5 = 20
1/20
Given that circumference of a circle is 44m. Calculate it's area
Answer:
Area=154.062 [tex]m^{2}[/tex]
Step-by-step explanation:
As Circumference of a circle is given by;
[tex]C=2\times \pi\times r[/tex]
As the circumference is 44m so we can calculate the value of r by using the above formula.
[tex]44=2\times \pi \times r\\\\\frac{44}{2\pi} =r\\\\\implies r=\frac{22}{\pi} =7.003 m[/tex]
Now to Calculate the Area of a Circle.
As the area of a circle is,
[tex]Area =\pi \times r^{2}\\ Area=\pi \times (7.003)^{2} \\Area=\pi \times 49.039\\Area=154.062m^{2}[/tex]
what are the zeros of this function? f(x) = 3x^2 + 2x - 8
Answer:
4/3, -2
Step-by-step explanation:
Ms. Wall will roll a dice. What is
the probability that she will roll an even number?
Answer:
50%
Step-by-step explanation:
half of the numbers on dice are even
50 POINTS PLEASE HELP What is the volume of this prism???
Answer:
128
Step-by-step explanation:
multiply length, width, and hight.
[Not including the "triangle roof"] 128 in²
V = L * W * H
V = 8 in * 4 in * 4 in
V = 128 in²
[Including the "triangle roof"] 176in²
V = [tex]\frac{ L * W * H}{2}[/tex]
V = [tex]\frac{8\text{ in }*\,4\text{ in }*\,3\text{ in }}{2}[/tex]
V = [tex]\frac{96\;in^2}{2}[/tex]
V = 48 in²
-
48 in² + 128 in² = 176in²
7. In which step does a mistake first occur? 8÷2+ (3 x 3-2) Step 1: 8÷2 + (3 x 1) Step 2: 8÷2+3 Step 3: 4+3 Step 4: 7
Answer: Step 1
A mistake first happens in Step #1. PEMDAS is not followed correctly.
(PEMDAS = parentheses, exponents, multiplication, division, addition, subtraction)
When solving 8÷2+(3x3-2), you first move left to write and solve the problems working through the correct order of operations.
Correct Steps:
1) 8÷2 + (3x3-2)
2) 4 + (9-2)
3) 4 + 7
4) 4+7 = 11
Help urgent need this help please
Answer:
First option is the correct answer
[tex] A(\triangle ABC) =572\: yd^2[/tex]
Step-by-step explanation:
Given scale is: 3 cm = 6 yd [tex] \implies[/tex] 1 cm = 2 ydBased upon the above scale, we find:Base of the triangle (AC) = 13 cm = 26 ydHeight of the triangle (h) = 22 cm = 44 yd[tex] A(\triangle ABC) = \frac{1}{2} * AC*h[/tex][tex] \implies A(\triangle ABC) = \frac{1}{2} (26)(44)[/tex][tex] \implies A(\triangle ABC) =572\: yd^2[/tex]This is had can you help me
Answer:
#9 is 6 #10 is 1 #11 is 7 #12 is 6
Step-by-step explanation:
.
A jar contains 11 green marbles, 6 red marbles, and 9 blue marbles. A marble is selected at random, not replaced, and then a second marble is selected. What is the probability of selecting a red marble followed by a green marble?
Answer:
red marbel
[tex] = \frac{3}{13} [/tex]
green marbel
[tex] = \frac{9}{26} [/tex]
Step-by-step explanation:
for the red marbel you first add all the number of balls given and the total is 26 then you take the number of red marbels dividing the total number of all the balls and if you are able to cancel out you can and there you get your answer same applies to the green marbel
Use the substitution method to determine the solution to the system of equations below. y-2x+2=1 6x - 3y = 3
Answer:
y = 2x - 1
Step-by-step explanation:
y - 2x + 2 = 1
6x - 3y = 3
[tex]y - 2x + 2 = 1 \\ +2x - 2 +2x - 2\\y = 2x - 1[/tex]
Plug in for y:
6x - 3(2x - 1) = 3
6x - 6x + 3 = 3
Simplified, 3 = 3
Answer: this solution has infinite solutions
Step-by-step explanation:
original system:
y-2x+2 = 1
6x-3y = 3
Move 2 to right side of equation
y -2x = -1
-3y+6x = 3
solve for y in first equation
⇒ y = 2x - 1
insert y into second equation
⇒ -3(2x-1) + 6x = 3
simplify
⇒ -6x+3+6x = 3
simplify once more
⇒ 3 = 3
this solution has infinite solutions
In the given right triangle, write all trigonometric ratios ?
Answer:
see below
Step-by-step explanation:
You will need the hypotenuse 12 ^2 + 9^2 = h^2 h = 15
In a right triangle:
S O H C A H T O A
sin s = S A H = Opposite / Hypotenuse = 12/15
cos r = C A H = Adjacent / Hypotenuse = 12/ 15
Tan s = T O A = 12 / 9
cos (theta) = cos s = 9 / 15
Tan r = 9/12
arc cos(theta) = theta = arccos(9/15) = 53.13 degrees
what transformation of figure 1 results and figure 2?
reflection
dialation
translation
4. (1) Solve forx: 13 11 3x+16 65
Step-by-step explanation:
13113x+1665
_____________________________
Rewrite 13113 as 9 . 1457
Rewrite 1665 as 9 . 185
= 9 . 1457x + 9 . 185
=9(1457x + 185)
Find the area of the figure.
Answer:
Area = 38 ft^2
Step-by-step explanation:
Divide two parts of a rectangle.
Big Rect: A = 10 ft * 3 ft = 30 ft^2
Small Rect: A = 2 ft * 4 ft =8 ft^2
Total Area = 30 + 8 = 38 ft^2
The measure of an angle is 60 greater than the measure of its complement find the measure of each angle
Answer:
[tex] \\ \\ 90-60=30degree \\ \\ [/tex]
Answer:
15° and 75°
Step-by-step explanation:
The sum of the measures of complementary angles is 90.
Angle 1 measures x.
Angle 2 measures x + 60.
Their sum is 90.
x + x + 60 = 90
2x + 60 = 90
2x = 30
x = 15
x + 60 = 75
Answer: 15° and 75°
PLEASE HELP 25 POINTS!!!
Sequence: 2 + 1 + 1/2 + 1/4 + 1/8 + ...
Explanation:
Here Given Sum to Infinity
[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]
Identify following
a1 = 2r = 1/2Solve:
[tex]\rightarrow \sf S \infty \ =2 \ x \ \dfrac{1}{1-\frac{1}{2} }[/tex]
[tex]\rightarrow \sf S \infty \ =4[/tex]
The sum of this infinity series is 4
In a certain family, the probability of having twins in 0.08 and the probability of having a single baby is 0.92.
What is the probability of a family having two sets of twins?
Answer: SE = √. pA(1 - pA). nA. +. pB(1 - pB). nB. = √. 0.08(0.92). 200. +. 0.344(0.656). 200. = 0.039. (b) The sample sizes of 200 are large enough
Step-by-step explanation: