Answer:
5 minutes per lap.
Step-by-step explanation:
45÷9=5
write an equation in slope intercept form that represents the line shown
Answer:
[tex]y - 2 = -\frac{1}{3}(x + 3)[/tex]
Step-by-step explanation:
The equation of a line, in slope-intercept is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which [tex](x_0,y_0)[/tex] is a point in the line and m is the slope.
We have these following points:
(-3,2), (0,1)
I am going to use [tex](x_0,y_0) = (-3,2)[/tex]
So
[tex]y - 2 = m(x - (-3))[/tex]
[tex]y - 2 = m(x + 3)[/tex]
Finding the slope
The slope, given two points, is given by the change in y divided by the change in x. In this question:
Points (-3,2) and (0,1).
Change in y: 1 - 2 = -1
Change in x: 0 - (-3) = 0 + 3 = 3
So
[tex]m = \frac{-1}{3} = -\frac{1}{3}[/tex]
So the equation of the line is:
[tex]y - 2 = -\frac{1}{3}(x + 3)[/tex]
Name two obtuse vertical angles.
39
Simplify
3-12
이
들
1
이
o
33
0 321
Evaluate the expression x2 + 5 for x = 3
Answer:
14
Step-by-step explanation:
give the other guy brainliest pls
translate the following words into an expression:
Three less than "x"
A. 3 - x
B. x - 3
C. -x - 3
D. -x + 3
On a map of the city, 2 inches represents 1 mile. Michelle is trying to plan out her trip from downtown to uptown. On the map, the distance is 16 inches. What is the actual distance that Michelle will travel from downtown to uptown?
Answer: 8 miles
Step-by-step explanation:
2 in=1 mile.
16 divided by 2 is 8
The blue dot is at what value on the number line?
- 8
Answer:
4
Step-by-step explanation:
If you look carefully at the number line between -4 and -8 and see the line between the two, you can see that each mark is |2| apart.
If you go up from -4 to the blue dot, you go: -2, 0, 2, 4. There are 4 lines above from -4, so this matches.
Your answer is 4.
Using your own words, create a word problem around the given problem. Then solve it
65% of $300
Answer:
Philip got $300 from his relatives, he puts 65% of the money he got into the bank. How much money did Philip put in the bank? $195
Hector must find the sum of 50 + 83 + 50 by using mental math. Which property allows Hector to simplify the equation to 50 + 50 + 83 and find an equivalent sum?
associative property
commutative property
distributive property
identity property
Answer:
183 A
Step-by-step explanation:
Answer:
The associative property because it allows you to group together numbers to make it easy to add.
I hope this helps!
Write an equation in slope-intercept form of the line that passes through (-1,4) and (0,2).
Answer:
1,3
Step-by-step explanation:
Answer: y=-2x+2
Step-by-step explanation:
Find the slope of the two points:
m= (4-2)/(-1-0)=-2
The y int: (0,2) which is given
The slope int form is y=mx+b: y=-2x+2
A fruit seller has 264 oranges packed in bags with 8 oranges in each bag she sells each bag of oranges for $4 how much money does the fruit seller collect in all bags
Answer:
$132
Step-by-step explanation:
264 divided by 8 = 33. 33 x 4 = 132
Answer:
132
Step-by-step explanation:
Total number of oranges = 264
Total number of oranges in each bag = 8
264 ÷ 8
= 33
33×4
= 132
The area of the opening of a rectangular window is to be 120 square feet. If the length is to be 2 feet more than the width, what are the dimensions
Answer:
Width = 10ft
Length = 12ft
Step-by-step explanation:
For a rectangle of length L and width W, the area is calculated as:
A = L*W
In this case, we know that:
The area is 120 ft^2.
The length is 2 ft more than the width.
Then we can write:
L = W + 2ft.
If we use these two equations and replace them in the equation for the area of a rectangle, we get:
A = 120ft^2 = W*L = W*(W + 2ft)
120ft^2 = W*(W + 2ft)
Now we can solve this for W
120 ft^2 = W^2 + 2ft*W
Now we can rewrite this as:
W^2 + 2ft*W - 120ft^2 = 0
The solutions of this equation can be found by the Bhaskara's formula.
We know that for an equation of the form:
a*x^2 + b*x + c = 0
The two solutions are given by:
[tex]x = \frac{-b +\sqrt{b^2 - 4*a*c} }{2*a}[/tex]
in our case, we have:
a = 1
b = 2ft
c = -120ft^2
Then the solutions for the equation W^2 + 2ft*W - 120ft^2 = 0 are:
[tex]W = \frac{-2ft + -\sqrt{(2ft)^2 - 4*1*(-120ft^2)} }{2*1} = \frac{-2ft +- 22ft}{2}[/tex]
Then the two solutions are:
W = (-2ft - 22ft)/2 = -12ft (this is a negative measure, does not have a real meaning in this case, so this solution can be discarded)
The other solution is:
W = (-2ft + 22ft)/2 = 10ft (this is the correct solution)
Then the width is 10ft, and we know that the length is 2 ft longer than the width, then the length is:
L = W + 2ft = 10ft + 2ft = 12ft
Expression for x = 6 and y = 17.
2x + (20 - y)
Answer:
The president is permitted to veto specific legislative acts, but Congress has ... and judicial appointments and on the approval for ratification of treaties. ... State shall have the Qualifications requisite for Electors of the most numerous Branch of the State Legislature. ... No Bill of Attainder or ex post facto Law shall be passed. Step-by-step explanation:
Answer:
2(6)+(20-(17))
Step-by-step explanation:
i think thats what you mean
A rectangular solid has a base that measures 12 feet by 16 feet, and a height of two feet. Its surface area is (blank)
square feet
Answer:
192 feet is your answer .
Step-by-step explanation:
12×16=192 feet base.
You are inviting people over for a pool party but your parents said that you can spend at most $100 on food and beverages for the party. If you've already spent $20 on the cake, and each person invited is going to cost you $5 worth of food, how many friends can you invite? Group of answer choices
Answer:
16
Step-by-step explanation:
100 is at the very limit, you've already spent 20 on the cake, now just count by fives to eighty and 16 x 5 = 80
which equation has the solution of x=4
Answer:
do you have a picture of the equations? then I can help you when you do
Duck #1 lays eggs whose weights are normally distributed with a mean of 70gramsand a standard deviation of 6 grams.Duck #2 lays eggs whose weights are also normally distributed with a mean of 65 grams and a standard deviation of 5 grams. If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?
Answer:
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?
Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.
When we subtract normal distributions, the mean is the subtraction of the means. So
[tex]\mu = 65 - 70 = -5[/tex]
The standard deviation is the square root of the sum of the variances. So
[tex]\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81[/tex]
Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-5)}{7.81}[/tex]
[tex]Z = 0.64[/tex]
[tex]Z = 0.64[/tex] has a pvalue of 0.7389
1 - 0.7389 = 0.2611
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg
how can i do this? i’m not good with slope at all
Determine which, if any, of the given values is a solution.
8p − 16 = 40
p = 5; p = 7; p = 9
p = ?
Answer:
p – 7 = -12
The answer
P = 7
8p - 16 = 40
40 + 16 = 56
8p = 56
56 ÷ 8 = 7
Find the missing numerical value in the box for which the equation 23(6x−12)=8+□(2x−4) 2 3 ( 6 x - 12 ) = 8 + □ ( 2 x - 4 ) has no solution.
Answer:
23
Step-by-step explanation:
Fran's snowmobile weighs 0.8 ton.
What is the weight of the snowmobile
in pounds?
Answer:
1,600
Step-by-step explanation:
Answer:
1600
Step-by-step explanation:
Given the numbers 9 and 6 as legs of a right triangle, what is the length of the hypotenuse? Round your answer to the nearest
hundredth (2 decimal places).
[tex]hypotensuse \: = \sqrt{ {6}^{2} + {9}^{2} } = \sqrt{36 +81 } = \sqrt{117} = 10.82[/tex]
Which measurements could create more than one triangle?
A. A triangle with angles measuring 75°, 60°, and 45°
O B. A triangle with sides measuring 5 cm end 10 cm and an included
angle measuring 40°
C. A triangle with sides measuring 6 inches, 8 inches, and 10 inches
D. A triangle with sides measuring 4 inches, 8 inches, and 15 inches
Answer:
why yall got the question i use to have now this 2021 i won nun off this ughhh i think it is D
Step-by-step explanation:
Answer:
A. A triangle with angles measuring 75°, 60°, and 45°
Step-by-step explanation:
plsssss answer thisss!!! will mark brainliest!
Answer:
35
Step-by-step explanation:
35 is the answer, it cant be 15 due to red being 21 MORE
Jordie wants to save $175 for a trip to an amusement park. He sets aside $14 of his allowance at the end of each week. How many weeks will it take him to save enough money for the whole trip?
How many weeks will it take jordie will it take to save money
right and correct answer gets 64 points.
Answer:
12.5 weeks <3
Step-by-step explanation:
Julie has $10.00. She plans to buy 4 bagels and then buy pastries with the money she has left. According to the price list, what is the maximum number of pastries she can buy?
Answer:
picture please
Step-by-step explanation:
Solve for n |2n|-4=8
A football player team gained 7 2/5 yards and then lost 1 3/5
Answer:
if you need an answer it's 5 4/5
3cm, b=3(m, calculate C
B
b. a. 7m, b: 8cm, calculate
-113
c
4. Trangle ABC haw AB = AC
BC = 10 and 2 BAC 90° calculate
the longth of side AB and Ac
to the neareut milimetre
90°
10
X
10
5
ow-90°
TO
OD Hub
cow-45 /
10
y = tans
0.5810
Answer:
The Answer is C
Step-by-step explanation:
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(TCO 1) A signal given by 15 Cos (20t) 20 Sin (40t) is sampled at a rate of 15 Hz. Is the Nyquist theorem violated
Answer:
Fs = 15 Hz > 12.7322 Hz
Hence, Nyquist theorem is NOT violated
Step-by-step explanation:
Given that;
a signal given by 15cos(20t) + 20sin(40t)
sampled at a rate of 15 Hz
Is the Nyquist theorem violated?
so;
from 15cos(20t) + 20sin(40t)
Freq F1 = 20/2π Hz
F1 = 3.1830 Hz
and
Freq F2 = 40/2π
F2 = 6.3661 Hz
Now, Nyquist's rate FN ≥ 2 × F_max
FN ≥ 2 × 6.3661
FN ≥ 12.7322 Hz
Now our given signal was sampled at a rate of 15 Hz
so, Fs = 15 Hz > 12.7322 Hz
Hence, Nyquist theorem is NOT violated