======================================================
Explanation:
Writing [tex]P \to Q[/tex] is another way of saying "if P, then Q".
P and Q are placeholders. Instead of holding numbers, they hold statements. The statements can be anything you want (generally they should be something that can be verified).
The two statements are
P: x = 5
Q: 2x = 10
So the format "if P, then Q" turns into "if x = 5, then 2x = 10" after replacing P and Q with the proper definitions.
Side note: it might help to think of the "search and replace" feature in many word documents.
What is the value of this expression when t = -12? -3|t − 8| + 1.5
Answer:
-59.5
Step-by-step explanation:
We are given the expression
-3|t − 8| + 1.5
t = -12
Subtituting -12 for t in the expression, we have:
-3|-12 - 8| + 1.5
-3|-20| + 1.5
Note : |-20| = 20
-3 × 20 + 1.5
= -60 + 1.5
= -59.5
The value of the expression = -59.5
Which expression is equivalent to -8? A=-2^-3 B=(-1/2)^-3 C=(1/2)^-3 D=2^-3
Answer:
The answer is option B.
Step-by-step explanation:
[tex]( - \frac{1}{2} ) ^{ - 3} = ( - 2) ^{3} = - 8[/tex]
Hope this helps you
Answer:
B. (-1/2)^-3Step-by-step explanation:
B is the answer. This is because you have to calculate (-1/2)^-3 on a calculator. When I did that calculation, I got -8.
(-1/2)^-3 = (-2)^3 = -2*-2*-2 = 4 * -2 = -8
Hope this helped,
Kavitha
HELP HELP HELP,The length of the one of the legs of a right triangle is 8m and the hypotenuse is 12m. Which of the following choices is the length of the other leg? 5 4 5 None of these choices are correct.
Answer:
4[tex]\sqrt{5}[/tex]
Step-by-step explanation:
the third leg is of the length 4[tex]\sqrt{5}[/tex]
In the next three questions, complete the proof of Theorem 31 (Opposite angles of a parallelogram are congruent.) by selecting the best reason or statement.
Answer:
see attached figure
Step-by-step explanation:
table completed. See figure
Please solve i will give brainiest 100 point question ****** do the whole page please need to pass or i will fail its my final test
Answer:
1. Find the difference between the areas.
Area of the small rectangle: [tex](x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14[/tex]
Area of the big rectangle: [tex](x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99[/tex]
The difference is: [tex]11x+85[/tex]
[tex]( x^2+20x+99)- (x^2+9x+14)=x^2+20x+99-x^2-9x-14=11x+85[/tex]
2.
You can solve this question just by looking at the graph.
a) The height is 4 meters.
[tex]f(d)=h=-2d^2+7d+4[/tex]
To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.
[tex]f(0)=h=-2(0)^2+7(0)+4[/tex]
[tex]h=4[/tex]
The height is 4 meters.
b) 9 meters.
For [tex]d=1[/tex]
[tex]f(1)=h=-2(1)^2+7(1)+4[/tex]
[tex]f(1)=h=-2+7+4[/tex]
[tex]h=9[/tex]
b) The ball travels 4 meters.
But to calculate it, it is when [tex]h=0[/tex]
[tex]0=-2d^2+7d+4[/tex]
Using the quadratic formula:
[tex]$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]
[tex]$d=\frac{-7 \pm \sqrt{7^2-4\left(-2\right)4}}{2\left(-2\right)}$[/tex]
[tex]$d=\frac{-7\pm\sqrt{81}}{-4}$[/tex]
[tex]$d=\frac{-7\pm9}{-4}$[/tex]
It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.
[tex]$d=-\frac{1}{2} \text{ or }d=4$[/tex]
3.
In this question, we have to find the area of the cylinder and the sphere.
From the information given, we have
a = 5mm and d = 5mm, therefore the radius is 2.5 mm.
The volume of a cylinder:
[tex]V=\pi r^2h[/tex]
[tex]V=\pi (2.5)^2 \cdot 5[/tex]
[tex]V=31.25 \pi[/tex]
[tex]V_{c} \approx 98.17 \text{ m}^3[/tex]
The volume of the sphere:
[tex]$V=\frac{4}{3} \pi r^2$[/tex]
[tex]V_{s} \approx 65.4 \text{ m}^3[/tex]
The volume of the capsule is approximately [tex]163.57 \text{ m}^3[/tex]
Mike can drive his car 66km on petrol worth Rs.384. How much money does he need to reach his hometown from Delhi by car distance between his hometown from Delhi=6006km
Answer:
Rs.34,944
Step-by-step explanation:
(6006 km)/(66 km) = 91
The distance from his hometown to Delhi is 91 times 66 km.
He will need 91 times the amount of petrol.
91 * Rs.384 = Rs.34,944
If a circle has a diameter with endpoints of (-3, 0) and (5, 4), then the equation of the circle is?
Which of the binomials below is a factor of this trinomial? X^2+2x-63
Answer:
x+9
Step-by-step explanation:
If we use syntetic division we get that
[tex]x^2+2x-63=(x+9)(x-7)[/tex]
Answer:
(x+9)(x-7)
Step-by-step explanation:
For this trinomial, we will factor the constant at the end into 7 and 9. From here we will break down the trinomial into a binomial form.
(x + or - #) ( x + or - #)
We know that our middle value is positive so we want the larger factor to be positive, and we know our constant is negative, so we want the smaller value to also be negative, so that when multiplied together we still get back the original trinomial.
(x + 9) (x - 7) = x^2 + 9x - 7x - 63 = x^2 + 2x - 63
Cheers.
What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?
O A. -6
O B. -12
O C. 12
O 0.6
Answer:6 a p e x
Step-by-step explanation:
A ladder leaning against a wall makes a 35° angle with the ground. The foot of the ladder is 5 meters from the wall. What is the length of ladder? (to the nearest tenth)
Answer:
L = length of the ladder;
K = distance between wall and the foot of the ladder;
a = angle between ladder and the ground
cos(a) = K/L,
L=K/cos(a),
L=K/cos(35°),
L=5/cos(35°),
L=6.1 m
Answer: 6.1
Step-by-step explanation:
circumference of a circle is 18Pi inches. What is the area of the circle?
Answer:
81pi or 254.34 inches square
Step-by-step explanation:
18pi = 2pi*r
pi*r = 9pi
r = 9
pi*(9)^2 = 81pi = 254.34 inches square
Answer: 81 pi inches, or around 254.34 inches.
Step-by-step explanation:
Since the formula for circumference of a circle is 2piR (where R would be the radius), we know that the radius of this circle is 9. From that, we simply need to plug it into the formula for area of a circle: piRsquared. 9 squared is 81, and pi is around 3.14.
Hope this helped.
y = 5x + 4
Write two ordered pairs (x, y) that are solutions
Write two ordered pairs (x, y) that are NOT solutions
Answer:
Correct (1,9), (2,14)
Incorrect (1,8),(2,13)
Step-by-step explanation:
It is simple.
To find the correct values plug a x value.
For Example;
X=1
y=5(1)+4
y=5+4
y=9
so your X value is 1 and your Y value is 9
To solve for the incorrect values
Find the correct values and subtract 1 form the Y value.
Which of the following is(are) the solution(s) to |x+3| = 12?
A. X= 15
B. X = 9.-15
C. X = 15,-9
O D. x = 9
Answer:
B. x = 9 or -15Step-by-step explanation:
|x+3| = 12
x+3 = 12 or x+3 = -12
x = 9 or x = -15
Josephine is going on a run around the lake. She knows the distance around the lake, but she would like to complete her run
in a certain amount of time. Josephine knows she can used the formula d = rt.
Which equation correctly rearranges the formula to find the time it will take her to run around the lake?
A. T= d/r
B. T= r/d
C. T=d + r
D. T=d-r
Hey there! I'm happy to help!
We want to see which of the formulas is a correct rearrangement of d=rt. To figure this out, we will solve each of our answer options for d. If d is equal to rt, then that option is the correct rearrangement.
OPTION A
t=d/r
We flip the equation around so d is on the left side.
d/r=t
We multiply both sides by r.
d=tr
Using the associative property, we see that d=tr is the same thing as d=rt.
We immediately see that this is the correct option. Therefore, the answer is A. T=d/r.
From the original d=rt, equation, we see that they solved for t by dividing both sides by r, giving you t=d/r.
Have a wonderful day! :D
The solutions of the equations -x² + 4x +3 = 0 are
A. (x = -3) and (x = -1)
B. (x = 1) and (x = 3)
C. (x = -2 -√7) and (x = -2 + √7)
D. (x = 2 -√7) and (x = 2 + √7)
can someone explain this pls
Answer:
D. x = 2 − √7 and x = 2 + √7
Step-by-step explanation:
-x² + 4x + 3 = 0
Multiply both sides by -1.
x² − 4x − 3 = 0
Factor using quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ -(-4) ± √((-4)² − 4(1)(-3)) ] / 2(1)
x = (4 ± √28) / 2
x = (4 ± 2√7) / 2
x = 2 ± √7
x = 2 − √7, 2 + √7
Please answer question
Answer:
346.4 cm^2
Step-by-step explanation:
area = base * height/2
We can use UW as the base.
U + V + W = 180
24 + V + 36 = 180
V = 120
[tex] \dfrac{\sin W}{UV} = \dfrac{\sin V}{UW} [/tex]
[tex] \dfrac{\sin 36^\circ}{34} = \dfrac{\sin 120^\circ}{UW} [/tex]
[tex] UW = \dfrac{34\sin 120^\circ}{\sin 36^\circ} [/tex]
[tex] UW = 50.1 [/tex]
Now drop a perpendicular from V to UW to be the height, h.
[tex]\sin 24^\circ = \dfrac{h}{UV}[/tex]
[tex] \sin 24^\circ = \dfrac{h}{34} [/tex]
[tex] h = 34 \sin 24^\circ [/tex]
[tex] h = 13.8 [/tex]
area = base * height/2
area = UW * h/2
area = 50.1 cm * 13.8 cm/2
area = 346.4 cm^2
Math is dumb and i can't do it
Answer:
B
Step-by-step explanation:
its a graph and I agree math is dumb
Answer:
agreed
Step-by-step explanation:
Starting at home, Luis traveled uphill to the gift store for 50minutes at just 6 mph. He then traveled back home along the same path downhill at a speed of 12mph.
Answer:
Average speed for the entire trip, both ways, is
(Total distance) divided by (total time) .
We don't know the distance from his house to the gift store,
and we don't know how long it took him to get back.
We'll need to calculate these.
-- On the trip TO the store, it took him 50 minutes, at 6 mph.
-- 50 minutes is 5/6 of an hour.
-- Traveling at 6 mph for 5/6 of an hour, he covered 5 miles.
-- The gift store is 5 miles from his house.
-- The total trip both ways was 10 miles.
-- On the way BACK home from the store, he moved at 12 mph.
-- Going 5 miles at 12 mph, it takes (5/12 hour) = 25 minutes.
Now we have everything we need.
Distance:
Going: 5 miles
Returning: 5 miles
Total 10 miles
Time:
Going: 50 minutes
Returning: 25 minutes
Total: 75 minutes = 1.25 hours
Average speed for the whole trip =
(total distance) / (total time)
= (10 miles) / (1.25 hours)
= (10 / 1.25) miles/hours
= 8 miles per hour
Step-by-step explanation:
BC=6, EF=12
Based on the given information, choose the similarity statement that you would use to say ABC~DEF. If you could NOT conclude the triangles similar, then choose NOT
A: AA
B: SAS
C: SSS
D: NOT
Answer:
C: SSS
Step-by-step explanation:
Two triangle are said to be similar if they have the same shape and proportion. This means that their angles are the same or their sides are in proportion. They are similar if:
i) All three corresponding angles are the same (AAA)
ii) All three corresponding sides are the same proportion (SSS)
iii) Two corresponding angles are equal and a side is in the same proportion (ASA)
iv) Two sides are in the same proportion and a corresponding angles are the same (SAS)
Given that:
AB = 12, BC = 6, AC = 3, DE = 24, EF = 12 and DF = 6
[tex]\frac{DE}{AB} =\frac{DF}{AC} =\frac{EF}{BC}\\\\\frac{24}{12}=\frac{6}{3}=\frac{12}{6}=2[/tex]
Since All the sides are in the same proportion, it supports the SSS rule.
Answer: SSS
I have done this assignment before
Helpppppppppp pleasessssss
Answer:
A.
Step-by-step explanation:
When it says (x + 7), that means the graph will be shifting to the right (so parallel to the x-axis.
sinxcosy=1/2(sin(x+y)+cos(x-y))
True or False?
Thanks for the help!
Answer:
False
Step-by-step explanation:
To be able to answer this, we will need to make a reference to the sum and product formula.
What we have in the question is the product and we want to see if the sum correlates.
Using the sum formula, we have the value on the right hand side as;
(1/2)[sin(x+y)+sin(x-y)]
Seeing that the expression we have here is not equal to that which was given, we can conclude that the answer is false
PQRS is a parallelogram. Find the values of a and b. Solve for the value of c, if
c= a + b.
Answer:
B
Step-by-step explanation:
The opposite sides of a parallelogram are parallel and congruent, thus
SR = PQ , that is
8a - 4 = 6a + 10 ( subtract 6a from both sides )
2a - 4 = 10 ( add 4 to both sides )
2a = 14 ( divide both sides by 2 )
a = 7
In a parallelogram consecutive angles are supplementary, thus
∠ P + ∠ Q = 180, that is
18b - 11 + 9b + 2 = 180, that is
27b - 9 = 180 ( add 9 to both sides )
27b = 189 ( divide both sides by 27 )
b = 7
Thus c = a + b = 7 + 7 = 14 → B
Which shows how to solve the equation Three-fourths x = negative 6 for x in one step?
Answer:
x = -8
Step-by-step explanation:
Let's put this into numbers: [tex]\frac{3}{4}[/tex]x =-6
The first thing you want to do is to multiply both sides by 4:
3x=-24
Next you need to divide by 3:
x=-8
The answer is -8
Answer:
-8
Step-by-step explanation:
Let's put this into numbers: x =-6
The first thing you want to do is to multiply both sides by 4:
3x=-24
Next you need to divide by 3:
x=-8
The answer is -8
a map has a scale of 1cm:11.5km.two cities are 5.5cm apart on the map.to the nearest tenth of a kilometer, what is the actual distance corresponding to the map distance?
Answer:
The actual distance between the two places to the nearest tenth of a kilometer is 63.3 km
Step-by-step explanation:
Here, we want to get the actual distance between two places on a map, given the scale used to draw the map and the distance of both places on the map, in terms of the scale.
The scale used here is 1cm to 11.5km
Since 1cm = 11.5km
then 5.5cm = x km
Thus ; x = 5.5 * 11.5
x = 63.25 km
Our answer in wanted to the nearest tenth of a kilometer so the answer is 63.3 km
Please Help. Given a graph of a system that has exactly one solution, how would you estimate the solution to the tenths place? Explain the process.
Answer:
Sample Answer: First determine the integers the x-coordinate and the y-coordinate are between. Then look at each to decide which integer the x- or y-value is closer to, and approximate the coordinate value to the tenths place.
Step-by-step explanation:
To estimate to the tenths place, you have to determine the actual solution and the approximate.
Assume the solution to the system of equation is:
[tex]\mathbf{(x,y) = (1.25, 1)}[/tex]
1.25 is to the hundredth place.
So, the next thing is to approximate 1.25 to 1.3 (the tenth place).
So, we have:
[tex]\mathbf{(x,y) = (1.3, 1)}[/tex]
Hence, the actual solution must be approximated to the tenths place.
Read more about system of equations at:
https://brainly.com/question/12895249
David scored points less than six times the number of points Rich scored in a video game. If represents the number of points scored by Rich, write an expression representing the number of points scored by David.
Answer:
David scored : 24 < 6x = 0
Step-by-step explanation:
From the information given;
David scored ??? points less than six times the number of points Rich scored in a video game.
If ??? represents the number of points scored by Rich
The objective is to write an expression representing the number of points scored by David.
since the value of David points and Rich letter representing the number of points scored by RIch are not given, Let's based our calculation on assumptions, the main thing is to understand the the process in solving the question.
Assumption:
Let assume that,
David scored 24 points and x should be the number of points scored by Rich
Then; the linear equation representing David score is:
David scored : 24 < 6x = 0
Plz help me.. thanks if you do
Answer: the answer is C.
Step-by-step explanation: 5 is lesser than or equal to meaning its a open sign. and 2 is the opposite.
Answer:
The answer is C!
Step-by-step explanation:
Hope you have a great day :D
(Brainliest?)
Lucy is tiling her bathroom. She buys white and blue tiles in the ratio 13:2.Blue tiles cost £2.80 while white tiles cost £2.35.If she buys 16 blue tiles how much does Lucy spend on tiles in total?
Answer:
* Lucy spent £289.2 on tiles *
Step-by-step explanation:
We know that the tiles are present in a 13 to 2 ratio ( 13 : 2 ) so if there are 16 blue tiles that she buys, the number of red tiles bought should be represented the following -
[tex]\frac{13}{2}[/tex] = [tex]\frac{x}{16}[/tex] ... now this is only assuming that the 13 : 2 ratio is meant by white : blue tiles. Let's solve through cross - multiplication,
13 [tex]*[/tex] 16 = 2[tex]x[/tex],
208 = 2[tex]x[/tex],
[tex]x[/tex] = 104 white tiles
So if there are 104 white tiles, and 16 blue tiles, we can determine the total amount Lucy spent on tiles by associating the cost to the type of tile,
£2.80 [tex]*[/tex] 16 = £44.8,
£2.35 [tex]*[/tex] 104 = £244.4,
Total Amount Lucy Spent on Tiles = £44.8 + £244.4 = £289.2
Lucy spent £289.2 on tiles
The calculation is as follows;[tex]\frac{13}{2} = \frac{x}{16}\\\\ 13\times 16 = 2x\\\\ 2 x = 208[/tex]
x = 104 while tiles
Now the total amount should be
[tex] 2.80 \times 16 = 44.8\\ And, \\ 2.35 \times 104 = 244.4[/tex]
So,
= 44.8 + 244.40
= 289.2
Learn more: https://brainly.com/question/10283285?referrer=searchResults
A triangle has side lengths of 13, 9, and 5. Is the triangle a right triangle? Explain.
2Points
Use complete sentences in your explanation.
Hint: Pythagorean Theorem: a^2+ b^2 = c^2
Answer: This triangle is not a right triangle
Step-by-step explanation:
In a right triangle, the hypotenuse(c) is always the longest side and a and b are the shorter sides. Thus, 5^2+9^2=13^2. Simplify this to get 25+81=169, then 106=169. Because 106 does not equal 169, it is not a right triangle.
Hope it helps <3
figure out if the equation is inverse or direct
Answer:
A. Inverse variation
B. Direct variation
C. Direct variation
D. Inverse variation
Hope this helps you