Answer:
please mark me brainlist
Step-by-step explanation:
1.Evaluate
a.(243/32)^-0.4
Answer:
4/9
Step-by-step explanation:
negative exponent means 1/...
so, this is
(32/243)^(4/10) = (32/243)^(2/5)
that means to the power of 2 and then pulling the 5th root.
so, let's pull the 5th root first, and then we square
(32/243)^(2/5) = (2⁵/3⁵)^(2/5) = (2/3)^2 = 4/9
how many degrees does a unit angle measure a 10° B 90° c 180 degrees d 100 degrees
Help me come up with a YT name plz. I’m looking for something that POPS, but I keep coming up with the same names/words.
Emily puts away basketballs after the gym class. there are 15 basketballs, and each rack holds 4 basketballs. how many racks does Emily completely fill? How many basketballs are left?
Answer:
emily fills 3 racks
3 basketballs are Left!
Step-by-step explanation:
15/4 = 3.3
Help please Algebra 1
Simplify 4y-6yx+y
What is the axis of symmetry for y = 3x^2 + x - 2
How do you calculate percentage or find the per cent value
Answer:
Divide the number you want to find the percentage for by the total amount of items in that group. Then, multiply that value by 100.
Step-by-step explanation:
Ex. There are 3 boys in a group of 4. What percentage of the group are boys?
[tex]\frac{3}{4} =0.75[/tex]
[tex]0.75*100=75[/tex]
75% of the group are boys
Given: The equation of a parabola is x2 = 8y.
Step 3: Where does the directrix for the given parabola lie? Enter the equation for the directrix line. Use your keyboard and the keypad to enter your answer. Then click Done.
Answer:
x=-2
Step-by-step explanation:
Answer:
Since a = 2, the equation for the directrix line will be y = −2.
Step-by-step explanation:
X+3y=2 and y=2x+3
Please explain using substitution method.
- X + 3Y = 2 (*)
⇔X = 2 - 3Y (1)
- Y = 2X + 3 (2)
(1),(2)⇒ Y = 2(2 - 3Y) +3
⇔ Y = 4 - 6Y + 3
⇔ Y = 1 (**)
(*),(**)⇒ X + 3×1 =2
⇔ X = -1
Which angles are supplementary to each other?
Angle 4 and Angle 2
Angle 5 and Angle 2
Angle 4 and Angle 3
Angle 2 and Angle 7
Answer:
The answer is Angle 4 and Angle 3.
Answer:
It's answer is angle 4 and angle 3
Find H.C.F
a2-25 and a2-12a+35
Step-by-step explanation:
Explanation is in the attachment
Hope my answer is helpful to you ✌️❣️☪️❇️❇️☪️❣️✌️
What is the slope, in its most simplified form, of the line that contains (1, 3) and (5, 9)
The expression 13.25×5+6.5 gives the total cost in dollars of renting a bicycle and helmet for 5 days. The fee for the helmet does not depend upon the number of days.
Answer:
13.25×5+13, cost per day with a helmet.
Step-by-step explanation:
Numerical Expressions • Practice
Answer:
13.25×5+13, Per day without a helmet
Step-by-step explanation:
help please tries 2 times
Answer:
(2,1)
Step-by-step explanation:
2x - 2y = 2
5x + 2y = 12
again just add them in this case
7x = 14
x = 2
4 - 2y = 2
-2y = -2
y = 1
the length of a rectangular box is 8cm. If its diagonal is 10cm. Find its width
Answer:
Step-by-step explanation:
The diagonal of this rectangular box serves as the hypotenuse of the 2 right triangles that exist within this rectangle. The length is one leg, the hypotenuse is...well, the hypotenuse, so we need to use Pythagorean's Theorem to find the missing leg.
[tex]10^2=8^2+x^2[/tex] and
[tex]100-64=x^2[/tex] and
[tex]x^2=36[/tex] so
x = 6. The width is 6.
A person walks on average 4000 steps per day. If one step is about 2 feet long, how much would the average person walk per week? HELP
Answer:
56000 ft
Step-by-step explanation:
4000 steps a day.
7 days in a week.
2 ft per step
so, we calculate how many steps in a week
4000 × 7 = 28000
and then we calculate the distance by saying each of these steps is 2 ft
so,
28000 × 2 = 56000 ft
as a little extra thought :
there are 5280 ft in a mile.
so, the person walks
56000 / 5280 miles = 10.61 miles
in a week.
Triangle Q R S is shown. Line R Q extends through point P. Angle Q S R is 35 degrees. Angle S R Q is 58 degrees. Exterior angle S Q P is x degrees. What is the value of x?
The triangle is missing and so i have attached it.
Answer:
x = 93°
Step-by-step explanation:
From the triangle attached, we can say that;
<SQP + <SQR = 180°
This is because sum of angles on a straight line equals 180°.
Secondly, we know that sum of angles in a triangle also equals 180°.
Thus;
<SQR + <QSR + <SRQ = 180
From the attached triangle, we see that;
<QSR = 35°
<SRQ = 58°
Thus;
<SQR + 35° + 58° = 180°
<SQR + 93° = 180°
<SQR = 180° - 93°
<SQR = 87°
From earlier on, we saw that;
<SQP + <SQR = 180°
Plugging in <SQR = 87°, we have;
<SQP + 87° = 180°
<SQP = 180° - 87°
<SQP = 93°
We are told in the question that <SQP is denoted by x.
Thus;
x = 93°
Answer:
The value of x is answer D: 93
The polygons in each pair are similar. Find the missing side length.
Answer:
12
Step-by-step explanation:
We can say that two polygons are similar to each other if both of the polygons have the same shape and their corresponding sides are in the same proportion, hence the ratio of their corresponding sides are equal to each other.
As we can see from the problem since both of the polygons are similar, hence the ratio of their corresponding sides are in the same proportion, therefore let x represent the missing length, hence:
[tex]\frac{x}{15} =\frac{32}{40} =\frac{32}{40} \\\\\frac{x}{15} =\frac{32}{40} \\\\x=\frac{32*15}{40} \\\\x=12[/tex]
PLS HELP ME!!!
A sample is generated from a population of 20 items. Each of the 20 items are given a label, and a 20-sided die is rolled 3 times to determine which 3 items are in the sample. This is an example of a __________.
A. systematic sample
B. random sample
C. convenience sample
D. self-selecting sample
Answer:
Option B, random sample
That should be the answer
Anyone could please answer this??
Answer:
Ans no. 1 = 14/15
Ans no. 2= 1/192
can someone help me out
Product of the zeroes of polynomial 3x²-2x-4 is ? No spam ❌ Want accurate answers ✔ No spa.
full explain
9514 1404 393
Answer:
-4/3
Step-by-step explanation:
Quadratic ax² +bx +c can be written in factored form as ...
a(x -p)(x -q)
for zeros p and q. The expanded form of this is ...
ax² -a(p+q)x +apq
Then the ratio of the constant term to the leading coefficient is ...
c/a = (apq)/a = pq . . . . the product of the zeros
For your quadratic, the ratio c/a is -4/3, the product of the zeros.
_____
Additional comment
You will notice that the sum of zeros is ...
-b/a = -(-a(p+q))/a = p+q
Answer:
[tex] \green{ \boxed{ \bf \: product \: of \: the \: zeros \: = - \frac{4}{3} }}[/tex]
Step-by-step explanation:
We know that,
[tex] \sf \: if \: \alpha \: and \: \beta \: \: are \: the \: zeroes \: of \: the \: \\ \sf \: polynomial \: \: \: \pink{a {x}^{2} + bx + c }\: \: \: \: then \\ \\ \small{ \sf \: product \: of \: zeroes \: \: \: \alpha \beta = \frac{constant \: term}{coefficient \: of \: {x}^{2} } } \\ \\ \sf \implies \: \pink{ \boxed{\alpha \beta = \frac{c}{a} }}[/tex]
Given that, the polynomial is :
[tex] \bf \: 3 {x}^{2} - 2x - 4[/tex]
so,
constant term c = - 4coefficient of x^2 = 3[tex] \sf \: so \: product \: of \: zeroes \: \: = \frac{ - 4}{3} = - \frac{4}{3} [/tex]
Tell whether the line for x = -5 is horizontal, vertical, or neither.
Answer:
vertical
Step-by-step explanation:
The line x = -5 includes all points where the value of x is -5, regardless of the value of y. This can be graphed as a vertical line going through (-5, 0), as the line represents the only place where x is the value -5.
Find the values of x and y.
Answer:
I think it's 43 and 43 degrees. I just subtracted 180-94, got 86, and divided it so yea.
I really need this answered!
Answer:
Its AA similaroty theorem
Adding the fractions
3/14+2/21+1/6
Answer:
[tex]\frac{10}{21}[/tex]
Step-by-step explanation:
The LCM of 14, 21 and 6 is 42
We require to change the fractions to fractions with a denominator of 42
[tex]\frac{3(3)}{14(3)}[/tex] + [tex]\frac{2(2)}{21(2)}[/tex] + [tex]\frac{1(7)}{6(7)}[/tex]
= [tex]\frac{9}{42}[/tex] + [tex]\frac{4}{42}[/tex] + [tex]\frac{7}{42}[/tex] ← add the numerators, leaving the denominator
= [tex]\frac{9+4+7}{42}[/tex]
= [tex]\frac{20}{42}[/tex] ← divide both values by 2
= [tex]\frac{10}{21}[/tex] ← in simplest form
Given an arithmetic progression 17,13,9,..... find the number of terms required so that its sum is - 33 .
Answer:
11 terms.
Step-by-step explanation:
We are given the arithmetic sequence:
17, 13, 9, ...
And we want to find the number of terms required such that the sum is -33.
Recall that the sum of an arithmetic series is given by:
[tex]\displaystyle S = \frac{k}{2}\left( a + x_k\right)[/tex]
Where k is the number of terms, a is the first term, and x_k is the last term.
The desired sum is -33. The first term is 17 as well. Thus:
[tex]\displaystyle (-33) = \frac{k}{2} \left( (17) +x_k\right)[/tex]
Simplify:
[tex]-66 = k(17 + x_k)[/tex]
We can write a direct formula to find the last term x_k. The direct formula of an arithmetic sequence has the form:
[tex]x_ n = a + d(n-1)[/tex]
Where a is the initial term and d is the common difference.
The initial term is 17 and the common difference is -4. Hence:
[tex]\displaystyle x_n = 17 - 4(n-1)[/tex]
Then the last term is given by:
[tex]x_k = 17 - 4(k-1)[/tex]
Substitute:
[tex]\displaystyle -66 = k\left( 17 + \left( 17 - 4(k-1)\right)\right)[/tex]
Solve for k:
[tex]\displaystyle \begin{aligned} -66 &= k(17 + (17 - 4k + 4)) \\ -66 &= k(38 -4k) \\ -66 &= -4k^2 + 38k \\ 4k^2 -38k -66 &= 0 \\ 2k^2 - 19k -33 &= 0 \\ (k-11)(2k+3) &= 0 \\ k-11&= 0 \text{ or } 2k+3 = 0 \\ \\ k &= 11 \text{ or } k = -\frac{3}{2}\end{aligned}[/tex]
Since we cannot have a negative amount of terms, we can ignore the second solution.
Therefore, the given sequence must have 11 terms such that it sums to -33.
Answer:
Here is 2 methods
Step-by-step explanation:
1) we use excel to find n=11 for lasy students
2) mathematical method
[tex]u_1=17\\u_2=13=17+(2-1)*(-4)\\u_3=9=17+(3-1)*(-4)\\\\\\\boxed{u_n=17+(n-1)*(-4)}\\\\\\\displaystyle s_n=\sum_{i=1}^nu_i\\=\sum_{i=1}^n(17+(i-1)*(-4))\\\\\\=(\sum_{i=1}^n 17) + (-4)*\sum_{i=1}^n (i) +4*\sum_{i=1}^n (1)\\\\\\=17*n+4*n-4*\frac{n*(n+1)}{2} \\\\\\=21n-2n^2-2n\\\\\\=-2n^2+19n\\\\=-33\\\\\\\Longrightarrow\ 2n^2-19n-33=0[/tex]
[tex]\Delta=19^2+4*2*33=625=25^2\\\\n=\dfrac{19-25}{4} =-1.5\ (excluded)\ or\ n=\dfrac{19+25}{4}=11\\\\[/tex]
. Error Analysis Describe and correct the error
a student made when ordering numbers from
least to greatest.
HELP ASAP
Answer:
Step-by-step explanation:
[tex]\sqrt{144} = 12[/tex]
the error was in not take the root of the number correctly
the student assumes that the root of 144 was equal to 72
2. Find 3 rational number between:
1) -5 and -6 2) ( -1/7) and (1/8)
i need steps
explanation also pls guys
Step-by-step explanation:
between -5 and -62
-7,-10,-60...so..on
between -1/7 and 1/8
Multiply any number by number with both the numbers but it should be multiplied by both the numbers:
for example:
-1/7×3/3= -3/21 ; 1/8×3/3= 3/24
So,
-2/21,2/24,1/24
hope it helps
If n(a)=40,n(b)=60 and n(a∪b)=80.find the value of (a∩b.
Answer:
20
Step-by-step explanation:
we know,
n(aUb)=n(a)+n(b)-n(a∩b)
so,
80=40+60-n(a∩b)
or, 80-(40+60)=-n(a∩b)
or, -n(a∩b)=80-100
or, -n(a∩b)=-20
or, n(a∩b)=20