Answer:
speed is 2t - 5
velocity is 2t - 5
a = 2 m/s²
Step-by-step explanation:
Given the position of a particle expressed as:
s(t) = t^2 - 5t + 1
speed v = ds/dt
ds/dt = 2t - 5
Hence the speed is 2t - 5
velocity can also be expressed as the speed, hence, velocity is 2t - 5
Acceleration is the change in velocity with respect to time. Hence;
a = dv/dt
a = 2 m/s²
Given that Ray B A bisects ∠DBC, which statement must be true?
B is the midpoint of DC.
What is the slope of the graph?
points are
(0,3)(1,0)[tex]\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{0-3}{1-0}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-3}{1}[/tex]
[tex]\\ \sf\longmapsto m=-3[/tex]
13. Which equation represents the line below?
A. y = -x +3
B. y = 2x - 6
c. y = -x + 4
D. y = 1/2x -3
Answer:
y = -2/3x + 3
Step-by-step explanation:
First, we need to calculate the slope of the line. We can do this by using the slope formula using two points:
(y₂ - y₁) / (x₂ - x₁)
If we take the points (-3,5) and (3,1), then: y₂ = 1; y₁ = 5; x₂ = 3; x₁ = -3
Next, we can substitute in values in the equation above to get (1 -5)/(3+3)
** We got 3+3 because it was 3 - (-3), where two negatives equal a positive**
Then, we get, -4/6, which simplifies to -2/3. Our slope is -2/3
After that, we need to find the y-intercept, which is where the line intercepts the y-axis. Here, that is at (0,3).
Therefore, if we put the above information into slope-intercept form:
y = mx + b --> m = -2/3; b = 3
y = -2/3x + 3
Though I don't think that answer choice is there...
0.007407 in standard form
Step-by-step explanation:
To convert 0.007407 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 7.407, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 7.407 × 10-3
i think this may help you tq
A furniture store is having a sale on sofas and you're going to buy one. The advertisers know that buyers get to the store and that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement. Let X be the cost of the sofa. What is the average cost of a sofa if the advertised sofa is $250 and the more expensive sofa is $450
Answer:
$290
Step-by-step explanation:
We are told that 1 out of 5 buyers change to a more expensive sofa than the one in the sale advertisement.
Now we are told that the advertised sofa is $250 and the more expensive sofa is $450.
Thus;
P(x) for expensive sofa = 1/5
P(x) for sofa in sale advertisement = 4/5
Thus, expected value is;
E(X) = (1/5)450 + (4/5)250
E(x) = 90 + 200
E(x) = $290
Answer:
The average cost of a sofa = [tex]\$290[/tex]Step-by-step explanation:
Cost of advertised sofa = [tex]\$250[/tex]
Cost of more expensive sofa = [tex]\$450[/tex]
So, the average cost of sofa,
[tex]E(x) = (450*\frac{1}{5})+ (250*\frac{4}{5})\\\\E(x) = 90 + 200\\\\E(x) = 290[/tex]
Hence,
The average cost of a sofa = [tex]\$290[/tex]
For more information, visit
https://www.bartleby.com/questions-and-answers/question-13-a-furniture-store-is-having-a-sale-on-sofas-and-youre-going-to-buy-one.-the-advertisers-/61410cf1-5b19-4491-9893-42336374e48e
Which of the following statements is false?
A. A rectangle is a parallelogram.
B. A rhombus is a parallelogram.
C. The height of a trapezoid is the distance between its bases.
D. Given quadrilateral ABCD, AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are adjacent
to Answer:
D is false
Step-by-step explanation:
AB and CD are not adjacent.
AB is adjacent to BC and AD but not to CD.
If m∠A = 43° and the measure of arc AB = 69°, then m∠B = ° (Blank 1). (Round your answer to one decimal place, if necessary.)
====================================================
Explanation:
If angle A is 43 degrees, then minor arc BC is 2*43 = 86 degrees according to the inscribed angle theorem. The central angle is twice that of the inscribed angle. Both of these angles subtend the same minor arc.
When I say "minor arc BC", I mean that we go from B to C along the shortest path. Any minor arc is always less than 180 degrees.
Since minor arc AB is 69 degrees, and minor arc BC is 86 degrees, this means arc ABC is arcAB+arcBC = 69+86 = 155 degrees
Let's say point D is some point on the circle that isn't between A and B, and it's not between B and C either. Refer to the diagram below. The diagram is to scale. The diagram your teacher provided is not to scale because arc ABC is way too big (it appears to be over 180 degrees). Hopefully the diagram below gives you a better sense of what's going on.
Because arc ABC = 155 degrees, this means the remaining part of the circle, arc ADC, is 360-(arc ABC) = 360-155 = 205 degrees
Inscribed angle B subtends arc ADC. So we'll use the inscribed angle theorem again, but this time go in reverse from before. We'll cut that 205 degree angle in half to get 205/2 = 102.5 degrees which is the measure of angle B. This value is exact. In this case, we don't need to apply any rounding.
Someone please help fasttt!!
Answer:
the slope is -1/4 throughout the line.
Step-by-step explanation:
the slope of a line never changes anywhere on the line. otherwise it would not be a line.
the slope is expressed by the ratio y/x indicating how many units y changes, when x changes by a certain number of units.
and in this graphic, when x changes 4 units to the right (positive), y changes 1 unit down (negative).
therefore -1/4
Answer:
3rd option
Step-by-step explanation:
The line has the same slope over the whole line
Calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = O (0, 0) and (x₂, y₂ ) = B (- 12, 3)
m = [tex]\frac{3-0}{-12-0}[/tex] = [tex]\frac{3}{-12}[/tex] = - [tex]\frac{1}{4}[/tex]
The slope is - [tex]\frac{1}{4}[/tex] throughout the line
What is the radius and diameter of the following circle? 5.1 cm
Answer:
A circle of radius = 0.8117 or diameter = 1.623 or circumference = 5.1 cm has an area of: 2.07 × 10 -10 square kilometers (km²) 0.000207 square meters (m²) 2.07 square centimeters (cm²)Step-by-step explanation:
Divide. Write your answer as a fraction in simplest form. −2 4/5÷(−7)=
the answer is in the photo
Answer:
2/5
Step-by-step explanation:
[tex] - 2\frac{4}{5} \div ( - 7)[/tex]
[tex] = \frac{2 \times 5 + 4}{5} [/tex]
[tex] = \frac{10 + 4}{5} [/tex]
[tex] = \frac{14}{5} [/tex]
[tex] = - \frac{14}{5} \times 7[/tex]
[tex] = \frac{14}{5} \div 7[/tex]
[tex] = \frac{2}{5} [/tex]
What is – x4 + 2x3 + 6x2 – 10x – 4 divided by X – 2?
Answer:
-x^3 + 6x + 2
Step-by-step explanation:
lets try this again plz help
Answer:
[tex] \frac{x - 6}{3} = 5 \\ x - 6= 3 \times 5 \\ x - 6 = 15 \\ x = 15 + 6 \\ x = 21 \\ thank \: you[/tex]
A package of 15 apples contains two defective apples. Four apples are selected at random, (a) Find the probability that none of the selected apples is defective. (b) Find the probability that at least one of the selected apples is defective.
Combination of n things taken r at a time: nCr
a) combinations of healthy apples/all combinations
=13C4/15C4
=715/1365
=.5238
.
b) 1-.5238=.4762
.
Ed
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
At the Scott wedding, 12 guests sat on the groom's side and 10 guests sat on the bride's side. At the Smith wedding, 13 guests sat on the bride's side and 18 guests sat on the groom's side. Which wedding had a lower ratio of guests of the groom to guests of the bride?
A. not enough information
B. the Smith wedding
C. neither, the ratios are equivalent
D. the Scott wedding
Answer:
D. The Scott Wedding
Step-by-step explanation:
Scott: 12 guests on the groom's side and 10 guests on the bride's side
Smith: 18 guests on the the groom's side and 13 guests on the bride's side
I rlly need help like pleasee
The parallelogram in Quadrant III is the image of the parallelogram in Quadrant II after a counterclockwise rotation about the origin. What is the angle of rotation?
A.) 90 B.) 180 C.) 270 D.) 360
Answer:
A. 90
Step-by-step explanation:
Correct on EDGE
Answer:
maybe 90
Step-by-step explanation:
If x^a=y^b=z^c and y^2=zx ,show that :. 1 by a + 1 by c = 2 by b.
Answer:
1/a + 1/c = 2/b
Step-by-step explanation:
.......................
4x^2-12x+9.
4x^2+4x+1.,
1+12x+36^2
Answer:
Step-by-step explanation:
please answer this!!!
Answer:
[tex]BC=40[/tex]
Step-by-step explanation:
Since AC is a tangent and PB is the raduis
[tex]\angle PBC= 9[/tex]
By pythagoras
[tex]PC^{2} =PB^{2} +BC^{2}[/tex]
[tex]41^{2} =9^{2} +BC^{2}[/tex]
[tex]1681-81=BC^{2}[/tex]
[tex]1600=BC^{2}[/tex]
[tex]BC=\sqrt{1600}[/tex]
[tex]BC=40[/tex]
OAmalOHopeO
Answer:
40
Step-by-step explanation:
A tangent to a circle is perpendicular to the radius intersection by definition. That makes BPC a right triangle at B. BP and PD are both equal (9) because every radius of a circle is equal. So
PC**2 = BP**2 + BC**2 or
41**2 = 9**2 + BC**2
1681 = 81 + BC**2
1681 - 81 = BC**2
1600 = BC**2
40 = BC
What are the solutions of x2 - 2x +5 = 0
Answer:
x = -3 or x = -5
Step-by-step explanation:
x (x -2 ) = -5
x = -5 or x = -5+2
x = -3
point O is at a distance named K from the line D. What should be the value of K if we want to find three points that their distance from line D is 4cm and from point O is 6cm?
1)4
2)8
3)2
4)3
and please tell me how to solve this, I'll mark you the brainliest
Answer:
the answer is number 3)2
Step-by-step explanation:
subtract the both
Graph the function need ASAP help
Is it a, b , c or d?
Answer:
D
Step-by-step explanation:
(the line is a / shape, so the slope is positive)
(the line crosses the y axis at (0,-2)
(using the above information, the equation is y=2x-2)
Answer:
y = 2x - 2
Step-by-step explanation:
Start with
y = mx + b
The graph shows the y-intercept -2.
We have y = mx - 2
slope = m = rise/run
The slope is rise of 2 and run of 1, so m = 2.
y = 2x - 2
What is the midpoint of a line segment connecting the points (−4,6) and (8,2) Need answer fast
Answer:
-12 & -18
Step-by-step explanation:
Answer:
Step-by-step explanation:
____×____=126
Fill the blank pls I need it fast
Answer:
Answer for this is 62 * 2 = 126
Step-by-step explanation:
Answer:
14×9=126
Step-by-step explanation:
how do you explain it lol
In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C
Answer:
the answer is the number 6
PLS HELP ME I WILL MARK YOU AS BRAINLIEST!!!
Answer:
volume = length x width x height
v=11x5x11 = 605
hope that answers your question
Given that x : 3 : 9/2 = 15/4 : 4 1/2 : y, find the value of x and y.
Answer:
x = [tex]\frac{5}{2}[/tex] , y = [tex]\frac{27}{4}[/tex]
Step-by-step explanation:
Equate the first 2 parts of the ratios on both sides of the equation and solve for x.
Expressing the ratios in fractional form, then
[tex]\frac{x}{3}[/tex] = [tex]\frac{\frac{15}{4} }{\frac{9}{2} }[/tex] = [tex]\frac{15}{4}[/tex] × [tex]\frac{2}{9}[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )
6x = 15 ( divide both sides by 6 )
x = [tex]\frac{15}{6}[/tex] = [tex]\frac{5}{2}[/tex]
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Equate the last 2 parts of the ratios on both sides and solve for y
[tex]\frac{\frac{9}{2} }{y}[/tex] = [tex]\frac{3}{\frac{9}{2} }[/tex] = 3 × [tex]\frac{2}{9}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2y = [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex] ( divide both sides by 2 )
y = [tex]\frac{27}{4}[/tex]
What is the Answer to: 120 Times 2/3
Answer:
80
Step-by-step explanation:
You could multiply by 2 and then divide by 3
120*2 = 240
240/3 = 80
Or you could divide by 3 and then multiply by 2
120/3 = 40
40*2 = 80
Answer:
80Step-by-step explanation:
120 × 2/3= 120/1 × 2/3= 240/3= 80[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Name the number system in which only the whole number less than 5 are used
Stay Safe, Stay Happy and stay healthy
Step-by-step explanation:
Whole numbers less than 5 may be termed as Rational numbers.
I need help ASAP!!Please be sure that you know the answer
Answer:area is 60, height is 4, and perimeter is 34
Step-by-step explanation:
An angle measures 89.8° more than the measure of its complementary angle. What is the measure of each angle?
Complementary angles always are 90 degrees when added to each other, so:
x = angle 1
x + 89.8 = angle 2
x + x + 89.8 = 90
2x = 90 - 89.8
2x = 0.2
x = 0.1
angle 1 = 0.1 degrees
angle 2 = 0.1 + 89.8 = 89.9 degrees
if you want to check, just sum one to the other and see if they equal 90, like this: 89.9 + 0.1 = 90
