9514 1404 393
Answer:
-2/3
Step-by-step explanation:
2^a = 0.5 = 2^-1 ⇒ a = -1
5^b = 125 = 5^3 ⇒ b = 3
Then the expression a^b +b^a is ...
a^b +b^a = (-1)^3 +3^(-1) = -1 +1/3 = -2/3
Please helped timed question. Solve for a, b, and A. Round to the nearest tenth.
Answer:
[tex]\angle A=90-72[/tex]
[tex]\angle A=18[/tex]
---------------
[tex]sin~72=\frac{b}{11}[/tex]
[tex]11\times sin~72=6[/tex]
[tex]b=10.5[/tex]
----------------
[tex]11\times cos~72=a[/tex]
[tex]a=3.4[/tex]
----------------
ANSWER:
a=3.4
b=10.5
∠A=18
-----------------------
hope it helps...
have a great day!!
Solve for F (15 Points)
Answer:
f = - [tex]\frac{15}{4}[/tex]
Step-by-step explanation:
Given
f + [tex]\frac{1}{4}[/tex] = - [tex]\frac{7}{2}[/tex]
Multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions
4f + 1 = - 14 ( subtract 1 from both sides )
4f = - 15 ( divide both sides by 4 )
f = - [tex]\frac{15}{4}[/tex]
Given that g(x)=x2, find each of the following.
a) g(3)
b) g(-1)
c) g( - x)
d) g(2y)
e) g(1 + h)
a) g(3) = (Simplify your answer.)
Step-by-step explanation:
a)
g(3) = 9
b)
g(-1) = 1
c)
g(-x) = x²
d)
g(2y) = 4y²
e)
g(1 + h) = 1 + h² + 2h
using the identity (a +b)² = a² + b² + 2ab
Answer:
a) g(3) = 9
b) g(-1) = 1
c) g(-x) = x²
d) g(2y) = 4y²
e) g(1+h) = 1 + 2h + h²
Step-by-step explanation:
a) when x = 3 ,
g(3) = 3² = 9
b) when x = -1 ,
g(-1) = (-1)² = 1
c) when x = -x ,
g( -x ) = (-x)² = x²
d) when x= 2y ,
g( 2y ) = (2y)² = 4y²
e) when x = 1 + h ,
g( 1 + h ) = ( 1 + h )² = 1 + 2h + h²
if 5 miles is 8km . Convert 33.7 km into miles
Answer:
20.94021
Step-by-step explanation:
mark me brainlist
Answer:
53.92
Step-by-step explanation:
5 miles = 8 km
1 miles = 1.6 km
33.7 x 1.6 = 53.92
Please help me!!! ASAP!
Which table represents a linear function?
A. X. Y
2. -46
4. -18
6. 58
B. X. Y
2. -2
4. 4
6. 14
C. X. Y
2. 11
4. 14
6. 17
D. X. Y
2. -6
4. 6
6. 26
Answer:
ans is C................
Cans of soda at a local store a six-pack of soda costs $2.59 and indivdual cans cost $0.80. What is the maximum of cans of soda that can be purchased for $15
Answer: 30 cans (buy them by the six-pack; so you'd buy 5 six-packs)
==============================================================
Explanation:
Let's say you buy six-packs only. Divide the amount of money you have over the cost per six-pack.
15/(2.59) = 5.7915 which rounds down to 5.
If you buy six-packs only, then you can buy a max of 5 of them. That gets you 5*6 = 30 cans of soda.
-------------
Now let's say you buy individual cans only. We'll use the same idea mentioned earlier but this time divide over 0.80
15/(0.80) = 18.75 which rounds down to 18
We round down because we can't buy that 19th can of soda (note how 19*0.80 = 15.2 which is larger than 15).
So if you buy individual cans only, then you can get a max of 18 cans.
We see that it's better to go with the six-pack option (in the first section) since we can get 30 cans compared to 18 cans.
A tailor had 5000 buttons.He sawed 9 buttons on each shirt and had 2048 buttons left.Then,he sold all shirts at $36 each.find the total amount collected by the tailor?
Answer: $11,808
Step-by-step explanation:
5000 - 2048 = 2952
By subtracting the total number of buttons by the number of buttons left, it can be calculated that the tailor used a total of 2952 buttons.
Each shirt has 9 buttons, therefore the number of shirts can be calculated as:
2952 ÷ 9 = 328.
Since the shirts sold at $36 each and there are 328 shirts made, the total amount can be calculated as $36 · 328 = $11,808
(I hope this is right :\)
The total amount collected by the tailor $11,808.
What is division?Division is the process of splitting a number or an amount into equal parts.
Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
A tailor had 5000 buttons.
He sawed 9 buttons on each shirt and had 2048 buttons left.
Then, he sold all shirts at $36 each.
now,
5000 - 2048 = 2952
By subtracting the total number of buttons by the number of buttons left, it can be calculated that the tailor used a total of 2952 buttons.
Each shirt has 9 buttons, therefore the number of shirts can be calculated as:
2952 ÷ 9 = 328.
Since the shirts sold at $36 each and there are 328 shirts made,
the total amount can be calculated as $36 · 328
= $11,808
Hence, the total amount collected by the tailor $11,808.
To learn more on division click:
brainly.com/question/21416852
#SPJ2
A solid wooden block in the shape of a rectangular prism has a length, width and height
Step-by-step explanation:
Volume of the block
[tex] = lbh[/tex]
[tex] = \frac{3}{8} \times \frac{1}{8} \times \frac{5}{8} [/tex]
[tex] = \frac{3 \times 5}{ {8}^{3} } [/tex]
[tex] = \frac{15}{512} [/tex]
18. (a)
A football club sells tickets at different prices dependent on age group.
The table shows the football ticket prices for the different age groups.
Price Age:
Under 18 = $15
18 to 60 = $35
Over 60 = $18
At a particular game there were 42 600 tickets sold.
14% were sold to people aged under 18
2/3 of the tickets were sold to people aged 18 to 60
The remainder were sold to people aged over 60
Answer:
5,964 people are under 18 , 400 people are aged 18 to 60 , 8,236 people are over 60
Step-by-step explanation:
42 , 600 x 14/100 = 5,964 people are under 18
42,600 x 2/3 = 28 , 400 people are aged 18 to 60
The remaining over 60 = 42 , 600 - (5,964 + 28400)
42,600 - 34,364 = 8,236 people are over 60
Consider this graph of a quadratic function.
Type the correct answer in each box.
The shape of the graph is called a
The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers
greater than or equal to
When x = -1, f(x) =
Answer:he's right
Step-by-step explanation:
Let u = <-7, -2>. Find 4u.
Answer:
<-28, -8>
Step-by-step explanation:
you multiply the values by 4 because that's what the question tells you to do.
if <-7,-2>=u and it's asking for 4u, then the answer is the solution to the equation 4(<-7,-2>)
Write a pair of integers whose sum gives: a) a negative integer
b) zero
c) an integer smaller than the both integers
Answer:
a) 4-5 = -1
b) -6+6 = 0
c) 6+(-4) = 2
what is the length of segment LM?
Here we are provided with a diagram of a triangle. We need to find out the length of the segment LM . As we can see that ,
∆ KNL ≈ MNL , [ By AAS ]
Therefore ,
KN = MN ( by cpct )⇒ KN = MN
⇒ 14x - 3 = 25
⇒ 14x = 25 + 3
⇒ 14x = 28
⇒ x = 2
Put this x = 2 in LM :-
⇒ LM = 9x + 5
⇒ LM = 9*2 + 5
⇒ LM = 18 + 5
⇒ LM = 23
Hence the required answer is 23 .
Find the area
Help me please
Answer:
72
Step-by-step explanation:
You add the base which is 8 and 18 then multiply by 11 which is 144. after that you divide by two and get your answer 72
4. The mean of the data 2, 3, 4, 5, 0, 1, 3, 3, 4, 3 is a. 2 b. 2.2 C. 2.4 d. 2.8
Answer:
its 2•8
u add all together then divide it number of times e.g 2+3+4+5+0+1+3+3+4+3=28
so 28/10= 2•8
Answer:
mean=sum of all the data number of the data
= 2+3+4+5+0+1+3+3+4+3/10
= 28/10
= 2.8
I hope this helps
Is the following statement a good definition? Why?
An obtuse angle is an angle whose measure is greater than 90°.
Answer:
yes it is all obtuse angles have measures greater than 90°.
Answer:
Yes it is. All obtuse angles have measures greater than 90.
Step-by-step explanation:
Reasoning It has to be Higher then 90 degrees to be called obtuse. This rule applys for all.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the systems of equations to their solutions.
Answer:
Step-by-step explanation:
1). 2x + y = 12 -----(1)
x = 9 - 2y -------(2)
By substituting the value of x from equation (2) to equation (1)
2(9 - 2y) + y = 12
18 - 4y + y = 12
18 - 3y = 12
3y = 18 - 12
y = 2
By substituting the value of x in equation (2)
x = 9 - 2(2)
x = 9 - 4
x = 5
2). x + 2y = 9 ------(1)
2x + 4y = 20
x + 2y = 10 -------(2)
Since, both the equations are the parallel equations,
Therefore, No solutions will be the answer.
3). x + 3y = 16 -------(1)
2x - y = 11 ---------(2)
Multiply equation (2) by 3 the add to equation (1)
6x - 3y + (x + 3y) = 16 + 33
7x = 49
x = 7
From equation (1),
7 + 3y = 16
3y = 9
y = 3
4). y = 11 - 2x -------(1)
4x - 3y = -13 -------(2)
By substituting the value of y from equation (1) to (2),
4x - 3(11 - 2x) = -13
4x - 33 + 6x = -13
10x = 33 - 13
10x = 20
x = 2
From equation (1)
y = 11 - 2(2)
y = 7
5). y = 10 + x -------(1)
-3x + 3y = 30
-x + y = 10
y = 10 + x ------(2)
Equations (1) and (2) are same.
Therefore, Infinite solutions will be the answer.
6). 2x + y = 11 --------(1)
x - 2y = -7 ---------(2)
Multiply equation (1) by 2 then add to equation (2)
4x + 2y + (x - 2y) = 22 - 7
5x = 15
x = 3
From equation (2)
3 - 2y = -7
2y = 3 + 7
y = 5
Please help me my little sister and i don’t understand!!
Hi!
These two angles are alternate interior angles, so they are congruent. Thus:
∠A = ∠B
6x + 5 = 4x + 45
Solve for x:
2x + 5 = 45
2x = 40
x = 20
Solve for ∠A by substituting in this value:
∠A = 6(20) + 5 = 125°
Johan published a monthly poetry magazine. In March he printed 1400 copies of magazine. In April he increased his print run by 15%
Answer:
1610
Step-by-step explanation:
Answer:
1610
Step-by-step explanation:
you can easily get the solution without a calculator:
1400
+ 140 (+10%)
+ 70 (+5%)
= 1400 + 210
Question 17 (5 points)
Determine the value of x in the isosceles trapezoid.
2x
х
x = 60°
x= 65°
x= 180°
*= 90°
write twelve thousand twelve hundred and twelve in numbers
Answer:
12, 120,012
Step-by-step explanation:
Find each measure
Please help me
Answer:
19) 100
20) 360 - 90 = 270
21) 360- 125 = 235
22) 45
Step-by-step explanation:
Central angles and the arcs they create are congruent.
[tex]y = x {}^{2} - 9x + 14[/tex]
Given that y can be written in the form
[tex](x + a) {}^{2} + b[/tex]
, where a and b are constants, find the value of a and the value of b.
pls help i rly need this Pls pls pls pls
Answer:
a = - [tex]\frac{9}{2}[/tex] , b = - [tex]\frac{25}{4}[/tex]
Step-by-step explanation:
To obtain the required form use the method of completing the square
add/ subtract ( half the coefficient of the x- term)² to x² - 9x
y = x² + 2(- [tex]\frac{9}{2}[/tex] )x + [tex]\frac{81}{4}[/tex] - [tex]\frac{81}{4}[/tex] + 14
= (x - [tex]\frac{9}{2}[/tex] )² - [tex]\frac{81}{4}[/tex] + [tex]\frac{56}{4}[/tex]
= (x - [tex]\frac{9}{2}[/tex] )²- [tex]\frac{25}{4}[/tex] ← in the form (x + a)² + b
with a = - [tex]\frac{9}{2}[/tex] and b = - [tex]\frac{25}{4}[/tex]
Answer:
a = 4.5
b = -6.25
Step-by-step explanation:
The given equation to us is ,
[tex]\implies y = x {}^{2} - 9x + 14[/tex]
And its given that it can we written in the form of ,
[tex]\implies (x + a) {}^{2} + b[/tex]
Where ,
a and b are constants .Therefore ,
[tex]\implies y = x^2 -9x + 14 [/tex]
Multiplying 9x by 2/2 ,we have ,
[tex]\implies y = x^2 -\dfrac{2}{2}\times 9 x + 14 [/tex]
Adding and subtracting (9/2)² ,
[tex]\implies y = \bigg\{ x^2 -\dfrac{2}{2}\times 9 x + \bigg(\dfrac{9}{2}\bigg)^2 \bigg\} +14 -\bigg(\dfrac{9}{2}\bigg)^2[/tex]
Therefore , we can write it as ,
[tex]\implies y = \bigg( x + \dfrac{9}{2}\bigg)^2 + 14 - 20.25 \\\\\implies \underline{\underline{ y = \bigg( x + \dfrac{9}{2}\bigg)^2 - 6.25 }}[/tex]
Hence the value of a is 9/2 and b is -6.25 .
can someone please help me with this question? I have been stuck on it for a while now
Answer:
w = 12 cm and l = 20 cm
Step-by-step explanation:
Help me out please, thanks
Hello!
f(x) = x² + 12x <=>
<=> a = 1, b = 12 <=>
<=> x = -12/2×1 <=>
<=> x = -6 <=>
<=> f(-6) = -36 <=>
<=> (-6; -36)
Good luck! :)
Evaluate the expression -4 ( n - 6) + m when n = -5 and m = 2? Show your steps
Answer: -42
Step-by-step explanation:
-4(n-6)+m
and then they give you the values of each
basically what you do is put the value of m into where it shows on the equation as well as the n.
-4(-5-6)+2 and then you should get
-42
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
39.30°
Step-by-step explanation:
In ∆ KLM :-
cos x = LK / KM cos x = 6.5/8.4 cos x = 65/84 x = cos -¹( 65/84)x = 39.30°Can someone help me with this math homework please!
9514 1404 393
Answer:
(a) Micah's solution is wrong.
Step-by-step explanation:
After adding 5/2x to both sides, Micah should have obtained ...
5/6 = 8
This would indicate there are no values of x that make the statement true.
Which property was used to simplify the expression?
30+9+4- 40+
distributive property
commutative property
associative property
inverse property
HELP SMB PLEASE!!!
Answer:
Distributive property.
Step-by-step explanation:
.
Answer:
holis polis trolis bsuslsgddnnbz
Find the probability of rolling a three first and then a six when a pair of dice is rolled twice.
a. 1/18
b. 5/648
c. 1/54
d. 5/324
Plz help me
Answer:
5 / 648
Step-by-step explanation:
Given tbe sample space for a pair of dice attached below :
Sample space for a pair of dice = 6² = 36
Rolling a 3 first :
Recall, probability = required outcome / Total possible outcomes
P(rolling a 3). = 2 / 36 = 1 /18
Probability of rolling a 6 (second roll)
P(rolling a 6) = 5 / 36
Hence,
P(3) then P(6) ;
1 / 18 * 5/36 = 5 / 648