Answer:
[tex] {( {x}^{ \frac{1}{2} }. {y}^{ - \frac{1}{4} } .z) }^{ - 2} \\ = (x. {y}^{ - \frac{1}{2} } . {z}^{ - 2} )[/tex]
Find the value of 'x
Answer:
x = 16
Step-by-step explanation:
The sum of the angles of a triangle are 180
128+ 2x-3 +23 = 180
Combine like terms
2x+148=180
Subtract 148 from each side
2x+148 -148 = 180-148
2x = 32
Divide by 2
2x/2 = 32/2
x =16
3
Solve for x.
X =
8
20
35
Answer:
x=00
Step-by-step explanation:l
nnm
Point M is located at (3,-2) on the coordinate plane. Point M is reflected over the
x-axis to create point M'. What ordered pair describes the location of M'?
The answer would be (3,2) because you would do (x,-y)
According to the fundamental theorem of algebra, how many zeros does the function f(x)= 3x^4 + x + 2 have?
Answer:
4
Step-by-step explanation:
Any polynomial of degree n has n roots
but we may need to use complex numbers
This is a 4th degree polynomial therefor:
4 roots
The ratio of three angles of a triangle is 1:2:3. Find the measurement of the angles
Answer:
all the angles add up to 180 degrees
So 180÷6=30
(i got 6 cuz 1+2+3)
so 1=30
2=30*2=60
3=30*3=90
What is the MINIMUM of the data set: 35, 20, 30,25, 20?"
a. 15
b. 20
c. 35
d. 25
Answer:
B) 20
The minimum of a data set is the smallest term of that set.
We arrange the terms in ascending order
→ 20,20,25,30,35
So, the minimum is 20
--------------------------------
hope it helps...
have a great day!!
My mom is making me do prayice and i need the answer for this thanks very much
if m<1 = 23^ and m<2 = 32^, find the measures of all other angles
Step-by-step explanation:
given,
m1=23°
m2=32°
m3=m1+m2+m3=180°{straight angle}23+32+m3=180°m3=180-55°m3=125°m3=m6{vertically opposite angle r equal}m6=125°m2+m3+m4=180°(straight angle)m4=180-157°m4=23°m3+m4+m5=180°{straight angle}m5=180-148°m5=32°hope it helps
stay safe healthy and happy....Each Friday, the sixth grade students in Mr. Shin's physical education class spend the first five minutes doing crunches. Instead of keeping track of the weekly total number of crunches, Mr. Shin keeps track of how they do compared to the week before, and then records the result as a positive or negative number. Record the number for each of the following:
Ben did 10 more crunches this week than last week. What number would Mr. Shin record?
Gail did 8 less crunches this week than last week. What number would Mr. Shin record?
Nathaniel did the same number of crunches this week as last week. What number would Mr. Shin record?
Answer:
I guess it would go
Ben did:+10
Gail:-8
Nathaniel:0
Step-by-step explanation:
hope this was what you wanted
best of luck
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
656.3844
Step-by-step explanation:
Area of squares = [tex]s^{2}[/tex]
s = measure of a side, all sides are the same.
[tex]25.62^{2}[/tex] use a calculator
A business consultant wanted to investigate if providing day-care facilities on premises by companies reduces the absentee rate of working mothers with children under six years old. She took a sample of 45 such mothers from companies that provide day-care facilities on premises. These mothers missed an average of 6.4 days from work last year with a standard deviation of 1.20 days. Another sample of 50 such mothers taken from companies that do not provide day-care facilities on premises showed that these mothers missed an average of 9.3 days last year with a standard deviation of 1.85 days.
a. Using a 2.5% significance level, can you conclude that the mean number of days missed per year by mothers working for companies that provide day-care facilities on premises is less than the mean number of days missed per year by mothers working for companies that do not provide day-care facilities on premises?
b. Construct a 98% confidence interval for the difference between the two population means.
i. State the hypothesis
ii. State the rejection or nor rejection region
iii. Calculate the test statistics
iv. State the conclusion
Answer:
Part a:
The null and alternate hypotheses are
i) H0: ud ≥ u vs Ha: ud < u
ii) As the significance level is ∝= 0.025 and it is one tailed test then the critical region R < - 1.96
iii) The test statistics is =−9.15
iv) We accept the alternate hypothesis.
Part b: CI = (−3.637,−2.163)
Step-by-step explanation:
AS the sample sizes are sufficiently large (n1,n2> 30) we can use the sample standard deviations in place of population standard deviations.
Part a:
The null and alternate hypotheses are
i) H0: ud ≥ u vs Ha: ud < u
where
ud is the mean of the days missed per year by mothers working for companies that provide day-care facilities on premises
and
u is the mean number of days missed per year by mothers working for companies that do not provide day-care facilities on premises
ii) As the significance level is ∝= 0.025 and it is one tailed test then the critical region R < - 1.96
iii) The test statistics is
z= xˉ1 − xˉ2/√ s 1² /n 1 +s 2² /n 2
= 6.4−9.3/ √1.2 ² /45+ 1.85² /50
=−9.15
iv) The calculated z = −9.15 values lies in the critical region= R < - 1.96 and the null hypothesis is rejected. Hence the mean of absentees for companies that provide day-care facilities on premises is less than the
the mean number of absentees for companies that do not provide day-care facilities on premises.
We accept the alternate hypothesis.
Part b:
The confidence interval can be calculated using the formula
CI = ( xˉ1 − xˉ2) ± z∝/2 √ s 1² /n 1 +s 2² /n 2
CI = (6.4−9.3) ± 2.326 * √1.2 ² /45+ 1.85² /50
CI = (−3.637,−2.163)
Mary wants to fill a cylindrical cup with water. The dimensions of the cup are labeled below.
Radius: 6cm
Height: 15cm
How much water can Mary put in the cup without it overflowing?
A. 1,620
B. 540
C. 270
D. 180
Step-by-step explanation:
Volume of cylinder: πr²h
= π(6)² x 15
= 36π x 15
= 1620 cm³
Answer: A
Answer:
B. 540 picm3
Step-by-step explanation:
(6)2 X 15= 540
A box with a square base and open top must have a volume of 171500 c m 3 . We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x , the length of one side of the square base. [Hint: use the volume formula to express the height of the box in terms of x .] Simplify your formula as much as possible.
Answer:
The dimensions of the box that minimize the amount of material used is length of square base x = 70 cm and height of box = 35 cm
Step-by-step explanation:
The volume of the box with square base is V = x²h where x = length of side of square base and h = height of box.
Now, the area of the of box open at the top with dimensions of length, l , width, w and height, h are
A = 2lh + lw + 2wh
Now for a box of square base, l = w = x.
So, A = 2xh + x² + 2xh
A = x² + 4xh
Since V = x²h and V = 171500 cm³,
h = V/x² = 171500/x²
substituting h into A, we have
A = x² + 4xh
A = x² + 4x(171500 cm³/x²)
A = x² + 4 × 171500 cm³/x
A = x² + 686000 cm³/x
To find the value of x that minimizes A, we differentiate A with respect to x
So, dA/dx = d[x² + 686000 cm³/x]/dx
dA/dx = 2x - 686000 cm³/x²
equating this to zero, we have
2x - 686000 cm³/x² = 0
2x = 686000 cm³/x²
2x³ = 686000
x³ = 686000 cm³/2
x = ∛(343000 cm³)
x = 70 cm
To determine if this in a minimum dimension for A, we differentiate dA/dx and insert x = 70 cm
So, d²A/dx² = d[2x - 686000 cm³/x²]/dx
d²A/dx² = 2 + 3 × 686000 cm³/x³
d²A/dx² = 2 + 2058000 cm³/x³
with x = 70 cm, we have
d²A/dx² = 2 + 2058000 cm³/(70 cm)³
d²A/dx² = 2 + 2058000 cm³/343000 cm³
d²A/dx² = 2 + 6
d²A/dx² = 8 > 0
So, x = 70 is a minimum value for the dimension
Since h = 171500 cm³/x²
h = 171500 cm³/(70 cm)²
h = 171500 cm³/4900 cm²
h = 35 cm
So, the dimensions of the box that minimize the amount of material used is length of square base x = 70 cm and height of box = 35 cm
missing coordinates to complete the following ordered pair y+4x=7
Answer:
(1,3)
Step-by-step explanation:
This might be wrong, sorry.
y+4x=7
I would think the pair is
(1,3)
solve for x:
-x/3 = 2
Answer:
x = -6
Step-by-step explanation:
-x/3 = 2
Multiply each side by -3 to isolate x
-x/3 * -3= 2*-3
x = -6
Answer:
x= -6
Step-by-step explanation:
you want to issolate x.
Start by getting rid of that divison by inversing it. The inverse of division is multiplication, so we multiply 2 by 3 to get 6.
Now -x= 6
in order for it to be truely isolated, we must inverse the negative sign.
its x= -6
If 3^2x+1 = 3^x+5, what is the value of x?
Answer:
4
Step-by-step explanation:
Since the bases are equal the powers also are equal
so
2x + 1 = x + 5
2x - x = 5 - 1
x = 4
835×79 with formula and all
If the height of the pyramid were increased to 512 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase
Complete question:
The base of a pyramid covers an area of 14.0 acres (1 acre = 43, 560 ft² ) and has a height of 481 ft. If the volume of a pyramid is given by the expression V = bh/3, where b is the area of the base and h is the height. If the height of the pyramid were increased to 512 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase
Answer:
The percentage increase of the volume is 6.45 %
Step-by-step explanation:
The volume of pyramid is calculated as;
V = bh/3
The initial volume of the pyramid is calculated as follows;
[tex]V = \frac{bh}{3} \\\\V_0 = (\frac{1}{3} ) \times (14 \ acres \ \times \frac{43,560 \ ft^2}{1 \ acre} ) \times (481 \ ft)\\\\V_0 = 97,777,680 \ ft^3[/tex]
The final volume of the pyramid when the height is increased to 512 ft.
[tex]V_1 = (\frac{1}{3} ) \times (14 \ acres \ \times \frac{43,560 \ ft^2}{1 \ acre} ) \times (512 \ ft)\\\\V_1 = 104,079,360 \ ft^3[/tex]
The percentage increase of the volume;
[tex]= \frac{104,079,360 - 97,777,680}{97,777,680} \times 100\%\\\\= 6.45 \ \%[/tex]
The volume of the pyramid will increase by 11.79%
The volume of a Pyramid is calculated using:
[tex]V = \frac{Bh}3[/tex]
Where:
B represents the base areah represents the heightWhen the height is increased from 458 to 512, then the initial and the final volumes are:
[tex]V_1 = \frac{458}{3}b[/tex]
[tex]V_2 = \frac{512}{3}b[/tex]
The percentage change is then calculated as:
[tex]\% Change = \frac{V_2 -V_1}{V_1} \times 100\%[/tex]
This gives
[tex]\% Change = \frac{512b/3 -458b/3}{458b/3} \times 100\%[/tex]
Simplify the numerator
[tex]\% Change = \frac{54b/3}{458b/3} \times 100\%[/tex]
Evaluate the quotient
[tex]\% Change = 0.1179 \times 100\%[/tex]
Express as percentage
[tex]\% Change = 11.79 \%[/tex]
Hence, the volume of the pyramid will increase by 11.79%
Read more about volumes at:
https://brainly.com/question/1972490
if 2lbs of fertilizer will cover 252 square feet of lawn how many pounds would be needed to cover 1008 square feet?
Answer:
[tex]252 \: sq \: feet = 2 \: lbs \\ 1008 \: sq \: feet = ( \frac{1008 \times 2}{252} ) \\ = 8 \: lbs[/tex]
Answer:
8lbs of fertilizer
Step-by-step explanation:
1008 ÷ 252 = 4
2 × 4 = 8
approximate 10.56 to the nearest whole number
Answer:
11.
Step-by-step explanation:
As the first decimal place is 5 we round up the whole number.
Answer:
11
Step-by-step explanation:
See image below:)
Find the solution of the system of equation shown on the graph
9514 1404 393
Answer:
(-7, -6)
Step-by-step explanation:
The solution to the system of equations is the point that is on both lines: their point of intersection. That point is (-7, -6).
Examine the triangle below. Use it to answer question 31.
Question 3
What type of trangle is shown?
Acute Equilateral Triangle
Acute Scalen Triangle
C. Obuse Scalene Triangle
D. Right Isosedes Triangle
Answer:
It’s blurry but I think it’s an obtuse triangle
Step-by-step explanation:
Maybe a right triangle
What is the value of a?
Answer:
a = 6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]c^{2}[/tex] = [tex]18^{2}[/tex] (pythagoras theorem)
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]4^{2}[/tex] (pythagoras theorem)
[tex]c^{2}[/tex] + [tex]b^{2}[/tex] = [tex]22^{2}[/tex] (pythagoras theorem)
From these 3 equations we can find the value of a
please yelp me find the area
Please help me no links!!
Answer:
Slope is -3
y-intercept is -3 and equation is y=-3x-3
Answer:
Slope: -3
y-intercept: -3
Equation: y = -3x - 3
Step-by-step explanation:
1. To get the slope (m):
m = rise / run = -3 / 1 --> it's negative 3 since the slope is going downwards
2. the y-intercept is the point that crosses the y-axis or when the x point is 0, so (0, -3)
3. Put is all together: y = -3x - 3
Which temperature is warmer, -8 degrees Celsius, or -20 degrees Celsius?
Answer:
-8 degrees Celsius is warmer
Answer:
-8 degrees C.
Step-by-step explanation:
2(5j + 2 + 4j) as a verbal expression
Answer:
theres a few ways to go about this...
ten j plus, four, plus eightj SIMPLIFY eighteen j's plus four
orrrr
2 times 5j+2 times2+2times4j and combine like terms to get the above expression
Please help me pleasee quick !
Answer:
a 4,1. helpful answer
what is the image of point 0,6 after a dilation of 1/3
Answer:
(0,4)
Step-by-step explanation:
PLEASE HELP ME WITH THIS
9514 1404 393
Answer:
3. $0.45
4. 50%
5. -5°, -1°, 1°, -2°, 5°
Step-by-step explanation:
3. The difference in tip amounts is ...
15%($25) -15%($22) = 15%($25 -22) = 15%($3.00) = $0.45
Jasmine paid $0.45 more tip than Candice.
__
4. If 25% were sick, then the crew that showed up was 75% of the full crew. If 1/3 of those 75% went home early, then the remaining (2/3)(75%) = 50% were the fraction working at the end of the day.
__
5. The Fridays in January were Jan 2, 9, 16, 23, and 30. The middle of the month was the 16th. For something like this, it can help to read through a couple of times, as the relations are not given in a way that gives a solution without skipping around.
We are given that the temp on the 30th was 5°, and that the 23rd was 7° less, so -2°. The low on the 2nd was 3° lower than on the 23rd, so was -5°. The temp on the 16th was 6° higher than on the 2nd, so was -5+6 = 1°, and the temp on the 9th was 2° lower than that, so -1°.
The low temperatures were ...
2nd: -5°9th: -1°16th: 1°23rd: -2°30th: 5°