Multiply the binomials.
(x−7)(x+3)
Answer: =
x
2
−
4
x
−
21
Step-by-step explanation: (
x
+
3
)
.
(
x
−
7
)
=
(
x
)
.
(
x
−
7
)
+
(
3
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.
(
x
−
7
)
ANSWER
x^2-4x-21
EXPLAIN
First expand the brackets by multiplying the number from the first bracket to the second bracket
you will get this = x^2 + 3x- 7x- 21 ,then u collect the like terms which is (3x & -7x).
your answer ( x^2 - 4x - 21 ).
How many vertices does a closed cone have?
A pebble drops from a balcony that is 80 feet above the ground. The pebble lands on the top of a sign that is 16 feet high. The function y=80−16t2 represents the height y (in feet) of the pebble t seconds after dropping from the balcony. How many seconds does the pebble drop before hitting the sign?
The pebble hits the sign after ______ seconds.
Answer:
t =2 seconds
Step-by-step explanation:
We have, a function that represents the height y of the pebble after dropping the balcony as follows :
[tex]y=80-16t^2[/tex]
The pebble lands on the top of a sign that is 16 feet high.
It is required to find the time does the pebble drop before hitting the sign. The above equation becomes,
[tex]80-16t^2=16\\\\-16t^2+80=16\\\\-16t^2=64\\\\t^2=4\\\\t=2[/tex]
So, the pebble hits the sign after 2 seconds.
write an equation of the line passing through the point (-10,3) that is parallel to the line 5x+2y=12
Answer:
y = -2.5x - 22
Step-by-step explanation:
The following are the last 10 run scores Colin got in cricket: 23, 20, 4, 19, 28, 35, 25, 0, 1, 30 a) Work out Colin's mean score. b) Colin plays cricket again on Sunday. He gets 35 runs. What is his new mean score? Give your answers as decimals. Anyone help I hate maths lol
Answer:
I have given it step by step below.
Step-by-step explanation:
(i) Mean = sum of observations/total no. of observation
= 23 + 20 + 4 + 19 + 28 + 35 + 25 + 0 +1 + 30/ 10
= 185/10
= 18.5
(ii) additional 35 runs
New Mean
=previous total + 35/10 + 1 (the 1 gets added in denominator because of the additional observation)
= 185 + 35/11
= 220/11
= 20
Hope this helps you!
What is the solution to the equation Two-thirds x + 1 = one-sixth x minus 7?
Answer:
x = -16
Step-by-step explanation:
2/3x +1 = 1/6x - 7
Multiply each side by 6 to get rid of the fractions
6(2/3x +1) = 6(1/6x - 7)
4x +6 = x - 42
Subtract x from each side
4x-x +6 = x-x-42
3x +6 = -42
Subtract 6 from each side
3x +6-6 = -42-6
3x = -48
Divide each side by 3
3x/3 = -48/3
x = -16
So the right answer is -16
Look at the attached picture
Hope it will help you
Good luck on your assignment
A recipe instructs the cook to use 4 cups of water for each 3 cups of powder. If you used 10 cups of water, how much powder should be added?
Answer:
8 cups
Step-by-step explanation:
hope I could help
Find the area of the shape shown below.
Answer:
23.4375
Step-by-step explanation:
you need to do base x base x height divided by 2. 7.5 x 2.5 x 2.5 = 46.875. divide that by 2 and you get 23.4375
Point A is located at (0, -2) and is rotated 180°. What are the coordinates of point A'?
Answer: The coordinates will be (0,2) after a 180 degrees rotation.
Step-by-step explanation:
90 180
(0,-2) → ( -2,0)→ ( 0,2)
Answer:
(0,2)
Step-by-step explanation:
Rule for a rotation of 180° about the origin: [tex](x,y)\rightarrow(-x,-y)[/tex]
We are given the point (0, -2).
Applying the rule:
[tex](0,-2)\rightarrow(0,2)[/tex]
A' should be at (0,2).
During a pumpkin launching contest, two pumpkins are launched at the same time.
Answer:
Even if they are different weights they will fall at the sam time
Step-by-step explanation:
by fall I mean hit the ground
Observa las dimensiones del siguiente portarretrato, y escribe la expresión que determina el área disponible para la fotografía del portarretrato.
Answer:
DStep-by-step explanation:
The dimensions of the portrait are attached.
The total area of the portrait is represented by its width 5+x and its length x+1.
We know by definition that the area of a rectangle is
[tex]A= w \times l[/tex]
Where [tex]w[/tex] is the width and [tex]l[/tex] is the length.
Using the given expressiones, we have
[tex]A=(5+x)(x+1)=5x+5+x^{2} +x=x^{2} +6x+5[/tex]
Therefore, the right answer is D.
The student body has 190
students. In how many ways
can it elect a president, vice-
president, secretary?
Answer:
6751080 different ways
Step-by-step explanation:
President: 190 choices
Vice president 189 choices
secretary: 188 choices
190*189*188 =6751080 different ways
Which of the following is the radical expression of 5
a_
7
Answer
[tex]\sqrt[7]{a^{5} }[/tex] is the correct answer to the given question.
Step-by-step explanation:
The given question is incomplete the options are missing also the question is also not well described the question is [tex]a^{5/7}[/tex].
[tex]a^{5/7}[/tex]
There is property when we convert any power number into the radical form the denominator of the power number is shifted to the order of the radical number .Here 7 is denominator in the power of [tex]a^{5/7}[/tex] so 7 is shifted to the order of the radical number .So it can be written as [tex]\sqrt[7]{a^{5} }[/tex] is the correct answer.
All instruments used in the song see you again?
Answer:
Of course Piano,keyboard and guitar.
Mrs. Samuelson had $350 to spend on a field trip for herself and 18 students. Admission was $12.50 per person and lunch cost about $5.00 per person. Write an equation to describe the amount of money left after the trip.
Step-by-step explanation:
Answer is $17.5
It says Mrs. Samuelson had $350 to spend on a field trip for herself and 18 students. so there are 19 people. Multiply 12.50*19 you get 237.5.
It also says lunch cost about $5.00 per person. Multiply 5.00*19 you get 95.
Add 95 to 237.5.
You get 332.5
Subtract 350 by 332.5.
Equation: 350-(19*12.50)+(19*5.00)
Answer: $17.5
Kelli does the grocery shopping for her family of four. The net income for the
household is $4,500 a month and she aims to spend 13 percent a month on
groceries. Kelli has decided to begin using a cash system for grocery shopping.
How much cash should Kelli pull out weekly to use at the grocery store?
Answer:
$585
Step-by-step explanation:
simply find 13% of 4500. 0.13 x 4500 is $585
(a) According to the Ministry of Health, the height of Guinean travellers who were quarantined in Tamale for the novel coronavirus were normally distributed about a mean of 160cm and a standard deviation of 8cm. Find the probability that a traveller selected at random has (a) Height between 148cm and 175cm (b) Height above 164cm (c) Height below 179cm
Answer:
a) [tex]P(148<X<175)=P(\frac{148-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{175-\mu}{\sigma})=P(\frac{148-160}{8}<Z<\frac{175-160}{8})=P(-1.5<z<1.875)[/tex]
[tex]P(-1.5<z<1.875)=P(z<1.875)-P(z<-1.5)= 0.970-0.0668= 0.9032[/tex]
b) [tex]P(X>164)=P(\frac{X-\mu}{\sigma}>\frac{164-\mu}{\sigma})=P(Z>\frac{164-160}{8})=P(z>0.5)[/tex]
[tex]P(z>0.5)=1-P(z<0.5)= 1-0.691= 0.309[/tex]
c) [tex]P(X<179)=P(\frac{X-\mu}{\sigma}<\frac{179-\mu}{\sigma})=P(Z<\frac{179-160}{8})=P(z<2.375)[/tex]
[tex]P(z<2.375)= 0.991[/tex]
Step-by-step explanation:
Let X the random variable that represent the heights of Guinean travels , and for this case we know the distribution for X is given by:
[tex]X \sim N(160,8)[/tex]
Where [tex]\mu=160[/tex] and [tex]\sigma=8[/tex]
Part a
We are interested on this probability
[tex]P(148<X<175)[/tex]
We can ue the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Using this formula we got:
[tex]P(148<X<175)=P(\frac{148-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{175-\mu}{\sigma})=P(\frac{148-160}{8}<Z<\frac{175-160}{8})=P(-1.5<z<1.875)[/tex]
And we can find this probability with this difference using the normal standard distribution or excel:
[tex]P(-1.5<z<1.875)=P(z<1.875)-P(z<-1.5)= 0.970-0.0668= 0.9032[/tex]
Part b
[tex]P(X>164)=P(\frac{X-\mu}{\sigma}>\frac{164-\mu}{\sigma})=P(Z>\frac{164-160}{8})=P(z>0.5)[/tex]
And we can find this probability with this difference using the normal standard distribution or excel:
[tex]P(z>0.5)=1-P(z<0.5)= 1-0.691= 0.309[/tex]
Part c
[tex]P(X<179)=P(\frac{X-\mu}{\sigma}<\frac{179-\mu}{\sigma})=P(Z<\frac{179-160}{8})=P(z<2.375)[/tex]
And we can find this probability with this difference using the normal standard distribution or excel:
[tex]P(z<2.375)= 0.991[/tex]
WEGNERKOLMP PLEASE ANSWER THIS MATH QUESTION !!! 20 POINTS AND BRAINLIEST !!
Answer:
c tomato 2.5
pepper = 3.5
Step-by-step explanation:
Let t= the price of tomato plants
p =the price of pepper plants
3t+ 4p = 21.50
5t+ 2p = 19.50
Multiply the second equation by -2
-10t -4p =-39
Add this to the first equation to eliminate p
-10t -4p =-39
3t+ 4p = 21.50
---------------------
-7t = -17.5
Divide by -7
t = 2.5
Now find p
5t+ 2p = 19.50
5( 2.5) + 2p = 19.50
12.5+2p = 19.50
Subtract 12.5 from each side
2p =7
p =3.5
We want the price of 1 tomato and 1 p
3.5+2.5
Answer:
C
Step-by-step explanation:
Let t = price of tomato plants
and p = price of pepper plants
3t + 4p = 21.50 ...... (1)
5t + 2p = 19.50 ..... (2)
Multiplying eqn. (2) by - 2
(5t + 2p) * (- 2) = (19.50) * (- 2)
- 10t - 4p = - 39
-10t - 4p = - 39
3t + 4p = 21.50
____________
-7t = -17.5
t = 2.5
Putting t = 2.5 in eqn. (2), we get:
= 5 * (2.5) + 2p = 19.50
12.5 + 2p = 19.50
2p = 7
= 3.5
Price of one tomato and one pepper plant = 3.50 + 2.50
someone empties 6 jugs of milk into a container. -Each jug contains 4 L of milk. -He uses the container of milk to fill cartons. -Each carton requires 250 mL of milk. How many cartons will he be able to fill?
Answer:
96 cartons
Step-by-step explanation:
Capacity of one jug = 4 L
Capacity of 6 jugs = 4 * 6 = 24 L
Capacity of milk in the container = 24 L
one litre = 1000 ml
24 liter = 24 * 1000 = 24000 ml
Number of cartons = Total capacity of milk/Capacity of milk in one carton
= 24000÷250
= 96 cartons
1 container receives 6 jugs of milk (1 jug of milk=4L)
6×4L=24L
The 1 container of milk is used to fill cartons of milk
The 1 container of milk is used to fill cartons of milk (1 carton=250 ml)
Step 1; Convert ml to L
250ml ÷ 1000 = 0.25L
Step 2; Divide
24L ÷ 0.25L = 96
Ans: 96 cartons of milk can be filled.
A parabola has a vertex at (-1,0) and opens down. What is the equation of the parabola?
Answer:
y = -(x + 1)^2
Step-by-step explanation:
I graphed the parabola on the graph below so you can see that it has a vertex at (-1,0) and opens down.
value of 7 to the - 2 power
Answer:
1/49
Step-by-step explanation:
7^-2= 1/7^2 = 1/49
Solution,
7^-2
=1/7^2
=1/49
Hope it helps
Good luck on your assignment
find the first term 43, 39, 35, 31, 27,
Answer:
23
Step-by-step explanation:
the difference between each number in the sequence is 4. Taking 4 away from 27 gives you 23
Hope this helps!
[25 POINTS] hi um please send help within like, 20 mins bc I'm gonna cry hahahaha
determine a value of c such that cu = 75 where u = 7i + 24j
context: precalc, vector unit
Answer:
c = 3
c = -3
(There are two because absolute value :P)
Step-by-step explanation:
u = 7i + 24j
u = (7, 24)
||c * u|| = 75
75 = || c [tex]\sqrt{7^{2}+24^{2} }[/tex] ||
75 = || c [tex]\sqrt{625}[/tex] ||
75 = || c * 25 ||
3 or -3 = c
HELPPPP MEEEEE ASAPPP :Which angles are pairs of corresponding angles? Check all that apply.
4 lines intersect to form 16 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 9; 9, 10, 11, 12; 13, 14, 15, 16.
Angle1 and Angle3
Angle2 and Angle14
Angle1 and Angle6
Angle3 and Angle7
Angle8 and Angle9
Angle5 and Angle12
9514 1404 393
Answer:
angle 2 and angle 14 angle 3 and angle 7Step-by-step explanation:
Assuming angles are numbered clockwise at each intersection before moving to the next intersection, corresponding angles will differ in their numbers by a factor of 4.
Among the offered choices, the differences of angle numbers are ...
2, 12, 5, 4, 1, 7
Of those pairs listed, angles 2 and 14, and angles 3 and 7 are corresponding angles.
Solve for x. Round to the nearest hundredth.
tan 51° 14.5
Answer:
17.91
Step-by-step explanation:
Rory records the percentage of battery life remaining on his phone throughout a day. The graph represents the percentage of battery life remaining after a certain number of hours. A graph titled Phone Battery Life. The horizontal axis shows Elapsed Time (hours) numbered 2 to 20, and the horizontal axis shows Battery Life (%) numbered 10 to 120. A line begins at 100% in 0 hours, to 20% in 8 hours, to 100% from 10 to 12 hours, to 60% in 16 hours, to 100% from 17 to 20 hours. At which times could Rory's phone have been plugged into the charger? Select three options. 6 hours 9 hours 11 hours 14 hours 19 hours
Answer:
9,11,19
Step-by-step explanation:
let x be the hours and y the percentage
x=0 , y=100
x=8 , y=80
x=9 , y=0
x=10 , y=100 , x=11 still charging so it is still plugged in
x=16 , y=60 and so on ....
x=18 , y=20
and it will charged again
the answer is 9,11,19
Which congruence theorem can be used to prove △WXZ ≅ △YZX? Triangles W X Z and Y Z X share side X Z. Angles W X Z and X Z Y are right angles. Angles X W Z and X Y Z are congruent. AAS ASA SAS HL
Answer:
The correct option is AAS.
Step-by-step explanation:
Consider the diagram below.
It is provided that The triangles △ WXZ and △ YZX share a side XZ.Angles ∠WXZ and ∠XZY are right angles.Angles ∠XWZ and ∠XYZ are congruent.If two angles are congruent it implies that they are same in degrees or radians.
So, the angles ∠XWZ and ∠XYZ are equal.
So, in the diagram below, one of the triangles have two angles that are equal to the corresponding angles on the other triangle and the two triangles share a side.
Then according to the Angle-Angle-Side (AAS) statement the triangles △ WXZ and △ YZX are congruent.
Thus, the correct option is AAS.
The congruence theorem that can be used to prove that △WXZ ≅ △YZX is; AAS
We are told that;ΔWXZ and ΔYZX share side XZ
∠WXZ and ∠XZY are right angles
∠XWZ and ∠XYZ are congruent
Now, from the given parameters, we can say that from reflexive property of congruence, XZ is congruent to itself and thus, we have one side of both triangles that is congruent.Secondly, since ∠WXZ and ∠XZY are right angles, it means they are equal and therefore congruent to each other.Lastly, we are told that ∠XWZ and ∠XYZ are congruent.In summary, we have 2 corresponding angles and one corresponding side that are equal but the corresponding side is not with the included angles and as such the triangles are congruent by AAS Congruency.Read more about AAS Congruency at; https://brainly.com/question/7727792
[tex]x^{3} =216[/tex]
Answer:
x = ±6
Step-by-step explanation:
=> [tex]x^3 = 216\\[/tex]
Taking cube root on both sides
=> x = ±6
What type of correlation does this graph show?
strong positive correlation
weak positive correlation
strong negative correlation
weak negative correlation
no correlation
Answer:
Weak positive correlation
Step-by-step explanation:
Because it can’t be strong otherwise the points would have been very close to the line of best fit
if (-3,-4) is a point on the line y =mx+2 ,find the value of m
Answer:
m = 2
Step-by-step explanation:
Given
y = mx + 2
Since (- 3, - 4) is a point on the line then it satisfies the equation.
Substitute x = - 3 and y = - 4, the coordinates of the point, into the equation and solve for m, that is
- 4 = - 3m + 2 ( subtract 2 from both sides )
- 6 = - 3m ( divide both sides by - 3 )
2 = m
