Step-by-step explanation:
Remember (y2-y1)/(x2-x1)
[tex] \frac{y {}^{2} - y ^{1} }{x {}^{2} - x {}^{1} } [/tex]
for y, 10-6 = 4
for z, -3 + 1= -2
4/-2 is -2
your slope is -2
Raina runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64
minutes?
Answer:
5.6 miles
Step-by-step explanation:
[tex]\frac{80 minutes}{7 miles} = \frac{64 minutes}{x}[/tex]
80x = 448
x = 5.6 miles
Considering only functions that have a rate of change less than that represented in the graph, which function has the greatest rate of change?
A.
B.
C.
D.
Answer:
D.
Step-by-step explanation:
I got it right on the test.
Please please please help I cannot figure this problem out
Car A is traveling east at a steady speed of 60 miles per hour after 2 hours, it is 130 miles east of Johnstown. car B is traveling east on the same road. its distance east of Johnstown is represented by the graph.
Answer:
45 mph = x
Step-by-step explanation:
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Distance (D) = Rate (R) * Time (T)
For Car A:
D = 30T {Eqn 1}
For Car B:
The Distance D and the time T is the same as for Car A
But, unlike Car A, Car B travels at two different rates. It travels at 20mph for a time T1. Then it passes Car A and travels at a rate of x for a period of time T2.
D = (20T1) + (x * T2)
Note that T2 must equal the total time T minus T1, so
D = (20T1) + (x * (T - T1)) {Eqn2}
Substitute Eqn 1 into Enq 2 : 30T = 20T1 + xT - xT1
Rewrite as: 30T = 20T1 + x(T-T1) {Eqn 3}
At what point do the two cars pass one another?
Car A travels 30T1 = D1
Car B is traveling in the opposite direction at 20T1 = D2
D2 = D - D1 (where D is the total circular length of the track)
Substituting, 20T1 = D - 30T1. Or 50T1 = D {Eqn 4}
Now we can establish a relationship between T and T1 by substituting Eqn1 into Eqn4
D = 30T = 50T1
30T = 50T1
(30/50)T = T1
T1 = (3/5)T {Eqn 5}
Now substitute Eqn 5 into Eqn 3
30T = 20T1 + x (T-T1)
30T = 20(3/5)T+ x (T - 3/5 T)
30T = 12T + xT(2/5)
18T = (2/5)x
(5/2)18 = x
45 mph = x
Recall that x is the speed that Car B must travel after it passes Car A.
What is 9.2568×10−3 written in standard form?
Answer:
80 9. 0.5 0.06 0.008 (89.568)
Step-by-step explanation:
9.2568x 10-3 would equal 89.568
put -3, 1 3/4, -0.5 and 3 least to greatest to least.
Answer:
-3, -0.5, 1 3/4, 3
Step-by-step explanation: in a number line negative is always less than positive so the bigger the negative number the more is goes down on the number line so that's why -3 is smaller then -0.5 because -0.5 is closer to positive than -3
Men have XYâ (or YX) chromosomes and women have XX chromosomes.â X-linked recessive genetic diseasesâ (such as juvenileâ retinoschisis) occur when there is a defective X chromosome that occurs without a paired X chromosome that is not defective. Represent a defective X chromosome with lowercaseâ x, so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease. Each parent contributes one of the chromosomes to the child.
Required:
a. If a father has the defective x chromosome and the mother hasgood XX chromosomes, what is the probability that a son willinherit the disease?
b. If a father has the defective x chromosome and the mother asgood XX chromosomes, what is the probability that a daughter willinherit the disease?
c. If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, what is theprobability that a daughter will inherit the disease?
d. If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, what is theprobability that a daughter will inherit the disease?
Answer:
A) 0
B) 0
C) 0
D) 0.5
Step-by-step explanation:
We are told that Men have XY (or YX) chromosomes and women have XX chromosomes
A) If a father has the defective x chromosome and the mother has good XX chromosomes, the four possible outcomes will be;
{xX, YX, YX, xX}
The outcome for the son is;
{YX, YX}
The son will have the disease only if it's xY. Thus, probability of son having the disease is; 0/2 = 0
B) If a father has the defective x chromosome and the mother has good XX chromosomes, the four possible outcomes will be;
{xX, YX, YX, xX}
The outcome for the daughter is;
{xX, xX}
The daughter will have the disease only if it's xx. Thus, probability of daughter having the disease is; 0/2 = 0
C) If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, the possible outcomes are;
{xX, xY, XX, XY}
Outcome for daughter is {xX, XX}
The daughter will have the disease it's xx. Thus, probability of daughter having the disease is; 0/2 = 0
D) If a mother has one defective x chromosome and one good Xchromosome, and the father has good XY chromosomes, the possible outcomes are;
{xX, xY, XX, XY}
The male outcome is;
{XY, xY}
The son will have the disease only if it's xY. Thus, probability of son having the disease is; 1/2 = 0.5
The ratio of the weight of an object on Mars to the weight of an object on Earth is 0.4 to 1. How much will a 145 lb astronaut weigh on Mars?
A 145 lb astronaut will weight on Mars.
(Round to the nearest tenth.)
Answer:
58 lbs
Step-by-step explanation:
if it weighs 1 pounds on earth, it weighs 0.4 pounds on Mars. So multiply 145 by 0.4 to get the answer
Please help me solve this equation and show the work show me how you got the answer
Answer: k=3
Step-by-step explanation:
To solve for k, you want to isolate k.
[tex]\frac{2}{5} (5k+35)-8=12[/tex] [add both sides by 8]
[tex]\frac{2}{5} (5k+35)=20[/tex] [multiply both sides by 5/2]
[tex]5k+35=50[/tex] [subtract both sides by 35]
[tex]5k=15[/tex] [divide both sides by 5]
[tex]k=3[/tex]
Now, we know that k=3.
The sum of three consecutive odd integers is -75. What is the smallest number
Answer:
-27
Step-by-step explanation:
First, let's call the smallest number: n
Then, the next two consecutive odd numbers would be:
n+2 and n+4 (this is because it's only odd numbers so we add 2)
We know the sum of these is −75 so we can write this equation and solve for n:
n + (n + 2) + (n + 4) = -75
n + n + 2 + n + 4 = -75
n + n + n + 2 + 4 = -75
n + n + n + 6 = -75
1n + 1n + 1n + 6 = -75
3n + 6 = -75 Subtract 6 from each side, which cancels the 6 on the left.
3n + 6 - 6 = -75 - 6
3n = -75 - 6
3n = -81 Divide each side by 3
3n/3 = -81/3
n = -81/3
n = -27
n + 2 = -27 + 2 = -25
n + 4 = -27 + 4 = -23
The 3 consecutive odd integers would be:
-27, -25, -23
Let's check our work:
-27 + -25 + -23 = -75 We are correct!
The smallest number is -27
Cynthia Besch wants to buy a rug for a room that is 20 feet wide and 34 feet long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 392 square feet of carpeting. What dimensions should the rug have?
Answer:
b
Step-by-step explanation:
+2boxes of 24 pencils each. HOW
have in all?
2. Linda bought a coat for $2265 and a saree for $2150. She gave $5000 to the shopkeeper.
How much money did the shopkeeper return to her?
3. The cost of 21 TY
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[tex]2 \times 24 = 48[/tex]
Thus we have 48 pencils in all.
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[tex]5000 - (2265 + 2150) = [/tex]
[tex]5000 - 4415 = [/tex]
[tex]585 \: \: dollors[/tex]
Thus the shopkeeper returned her 585 $.
put the steps for the deriving for the area of a triangle in the correct order
Answer:
See Below.
Step-by-step explanation:
Steps:
1) Draw the altitude of the triangle from Vertex B to side CA and label it h.
2) Find [tex]\sin(C)[/tex] of the triangle.*
3) [tex]\displaystyle \sin(C)=\frac{h}{a}[/tex]
4) Solve for h.
5) [tex]h=a\sin(C)[/tex]
6) Substitute expression for h into traditional formula for area of a triangle,[tex]\displaystyle A=\frac{1}{2}bh[/tex].
7) [tex]\displaystyle A=\frac{1}{2}ba\sin(C)=\frac{1}{2}ab\sin(C)[/tex]
(We acquire two right triangles after drawing h since it is an altitude. We will use the smaller of the two.)
(-2k^3-7k^2+5k) + (6k^2+3k)
Answer:
-2k³+6k²+k+9
Step-by-step explanation:
Another student answers 21 questions 6 are correct how many points does she score
3
d
Gulliver's Travels
11
10
9
8
Distance imesi
2
1 2 3 4 5 7 8 9 10
Time thous)
Given the graph of the function D(t) of Gulliver's Travels. The function d(t) represents Gulliver's
distance from home after t hours. What is the value of D(3)? *
(1 Point)
Answer: D(3) = 4 miles according to the graph.
Step-by-step explanation:
Look for the 3 on the time scale at the bottom of the graph. Follow the grid line straight up to where it meets the graphed line. Follow the grid line to the distance scale at the left to find the value at that point. It is 4 miles.
1)
If a bag contains 18 red, 6 yellow, 24 blue, and 8 white balloons, what is the part-to-whole ratio of white balloons to all balloons?
a
A)
1:5
B)
16
1:7
D)
1:8
E)
5:1
Answer:
E
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
8 white balloons
56 balloons in total
8:56 = 1:7
Which of the following best describes weight?
A. The amont of space an object takes up
B. The amont of matter in an object
C. The force on an object due to its mass and gravity
D. The force on an object due to its speed and location
Answer:
-The force on an object due to it's mass and gravity
which fraction is equal to 0.5 7
The value of fraction 0.5 7 is equal to 1/2.
We are given that;
Number = 0.57
Now,
There are different ways to express a fraction as a decimal, but one common method is to divide the numerator by the denominator.
For example, 1/2 as a decimal is 1 ÷ 2 = 0.512.
Another method is to use a fraction to decimal conversion chart or calculator345. According to these sources, 0.5 as a fraction is equal to 5/10 or 1/2.
These fractions are equivalent because they have the same value when simplified or reduced.
To simplify a fraction, we can divide both the numerator and the denominator by their greatest common factor (GCF).
Therefore, by algebra the answer will be 1/2.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ6
Line a through (2, 3) is parallel to line b with equation y = -1, which point below a lso lies on line a? A (2,9) B(-5, 3) C (0, 1) D (1, 4)
Answer:
B (-5, 3)
Step-by-step explanation:
The line a passes through point ( 2,3 ).
Line b has equation y= -1
Plot the graph for line b, y=-1 , which is a horizontal line as shown in the attached graph
Plot point (2, 3) and draw the graph of line a, y=3 to form a line a parallel to line b
You will notice that point B (-5, 3) is the one the lies on line a.
The answer option A,(2,9) is incorrect because it does not lie on any of the lines
The answer option C (0, 1) is incorrect because it lies along the y-axis
The answer option D (1, 4) is incorrect because it does not lie on any of the lines.
please helphejejjwjwjw
Answer:
B
Step-by-step explanation:
3x -2
Simplify - root of 0.25
Answer:
0.5
Step-by-step explanation:
[tex] \sqrt{0.25} = \sqrt{ \frac{25}{100} } = \frac{5}{10} = 0.5 \\ [/tex]
Answer:
0.5
Step-by-step explanation:
√
0.25
⇒
√
0.5
×
0.5
⇒
√
(
0.5
)
2
⇒
0.5
A boat traveled 27 miles in 2 hours.At this rate,how many miles will the boat travel in 1/2 hour?
Answer:
13 1/2
Step-by-step explanation:
Round 3 487 to the nearest thousands place.
Answer:
3,000
Step-by-step explanation:
Answer:
3,000
Step-by-step explanation:
Since 4 is less than 5, the digit must not change. Meaning its 3,000
hoped i helped and hopefully i didnt sound confusing
Make 0.26 and a fraction
Answer:13/50
Step-by-step explanation:
Answer: 26/100 or 13/50
Step-by-step explanation: 0.26 means in word form 26 hundreths. so you put 26 over 100. its your choice if you want to simplify though
Which number line expression shows how to find the distance from 2 to -5?
Answer:
5+2=7
Step-by-step explanation:
The length of each side of a square wooden box
Answer:
[tex](8x^2)^3\\= 512x^6[/tex]
You have to multiply the whole equation by cubed, since the parenthesis applies for the entire equation.
Which sequence shows the numbers in order from least to greatest?
Answer:
A. is the answer did you need an explanation
Solve for x
O 10°
O 189
O 20°
O 22.5°
Answer:
[tex]\boxed{x=10}[/tex]
Step-by-step explanation:
We are given two angles, which together, have a sum of 90°. We call these complementary angles. The angle ∠EAF is the complement of angle ∠FAB and vice versa.
Therefore, because they sum up to be 90°, we can simply add the angles together and solve for x this way.
[tex]4x+5x=90\\\\9x = 90\\\\\frac{9x}{9} = \frac{90}{9}\\\\\boxed{x = 10}[/tex]
The variable x equals 10. We can go even further to check and verify that this is correct by substituting our original value for x into the equation.
[tex]4(10)+5(10)=90\\\\40 + 50 = 90\\\\90 = 90[/tex]
90 does in fact equal 90, so your final answer is x = 10°.
Hope this helps! :)
PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP!!
ALGEBRA 2 Radical Expressions to Rational Exponents!
Answer:
a = 1/6b = -3/4Step-by-step explanation:
Solving exponents
a)
(x^1/2)^1/3 = x^ax^(1/2*1/3) = x^ax^1/6 = x^aa = 1/6b)
1/(x^3)^1/4 = x^b1/x^(3*1/4) = x^b1/x^(3/4) = x^bx^-(3/4) = x^bb = -3/4Garrison deposited $500 in an account that earns 5% annual interest compounded annually. If he makes no withdrawals or deposits, what will be the ending balance of his account after 4 years? *