Answer:
105897 ft²
Step-by-step explanation:
let, r be the radius, so r = 106 ft
Surface area of a hemisphere,
2πr²+πr²
= 2π×106²+π×106²
= 105897 (rounded to the nearest whole number)
The solution to an inequality is graphed on the number
line.
What is another way to represent this solution set?
C OF
O {xx <4.5)
O {x| 4.5}
{x | x > 4.5)
O {x|x 2 4.5}
-5
0
1
2
3
4 5
Save and Exit
Next
SUOMI
Mark this and return
From the given number line, we have inequality as {x|x≤4.5}. Therefore, option B is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Inequalities on a number line allow us to visualize the values that are represented by an inequality. To represent inequalities on a number line we show the range of numbers by drawing a straight line and indicating the end points with either an open circle or a closed circle.
From the given number line, we have inequality as {x|x≤4.5}
Therefore, option B is the correct answer.
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There are 3200 students at Lake High School and 310 of these students are sophomores. If 38 of the sophomores are in favor of the school forming a crew team and 34 of the remaining students (not sophomores) are also in favor of forming a crew team, how many students are opposed to this idea?
Answer: 3128 students
Step-by-step explanation:
Total no of students in the school : 3200
No of sophomores in favor of the school forming a crew team : 38
No of the remaining students in favor of forming a crew team : 34
Total students in favor of forming a crew team = 38+34= 72
No of students against it : Total students - Students in favor
= 3200-72 = 3128 students
I need help
solve for x
log16x=1/4
Answer:
[tex]log16x = \frac{1}{4} \\ x = \frac{ {10}^{ \frac{1}{4} } }{16} \\ x = 0.111[/tex]
What are the zeros of the following quadratic equation: y = 6x2 - 17x - 3
Answer:
[tex]\displaystyle x=-\frac{1}{6}, 3[/tex]
Step-by-step explanation:
Hi there!
[tex]y = 6x^2 - 17x - 3[/tex]
Factor by grouping:
[tex]y = 6x^2 - 18x+1x - 3\\y = 6x(x- 3)+1x - 3\\y = 6x(x- 3)+(x - 3)\\y = (6x+1)(x- 3)[/tex]
Let y=0. Apply the zero product property:
[tex]0 = (6x+1)(x- 3)[/tex]
[tex]6x+1=0\\6x=-1\\\\\displaystyle x=-\frac{1}{6}[/tex]
AND
[tex]x-3=0\\x=3[/tex]
I hope this helps!
Find EF
-----------------------------------------------
===========================================================
Work Shown:
(whole length)*(external part) = (whole length)*(external part)
(EG)*(FG) = (SG)*(HG)
(2x+4)*(4) = (x+5)*(5)
8x+16 = 5x+25
8x-5x = 25-16
3x = 9
x = 9/3
x = 3
Use this x value to find EF
EF = 2x
EF = 2*3
EF = 6
For more information, search out "secant secant formula". It's not a typo that I wrote "secant" twice.
A train is exactly 24km from Smalltown at 7:00p.m. It travels toward Smalltown at a constant rate of 90km per hour. At what time does the train reach Smalltown?
Answer:
7:16 P.M.
Step-by-step explanation:
24/90=4/15. There are 60 minutes in an hour, so we have 240/15=16.
Which of the lines below has a negative slope?
Answer:
A
Step-by-step explanation:
A negative slope goes down from left to right
A positive slope goes up from left to right
A zero slope is a horizontal line
An undefined slope is a vertical line
A is a line that goes down from left to right
If mBAC = 90°, and mZDAC = 68°,
then mBAD = [?]
Answer:
22 degrees
Step-by-step explanation:
BAC=90 and DAC=68
DAC+BAD=BAC=90
so BAD=BAC=DAC
so BAD=90-68
= BAD=22 degrees
Answer:
The answer according to my calculations would be 22 degrees
Step-by-step explanation:
Fill in the box 22
please help (picture) 25 points
Answer:
1) perimeter = sum of all the sides = 3y+9+2y+4+y+3+2y+4 = 8y+20
2) P = 4(5x-2) = 20x-8
The measures of two angles of a triangle are 36 degree and 75 degree . The length of the shortest side of a triangle is 10 cm . The length of longest side of the triangle is:?
please help me someone! asap!
Answer:
please help me to solve these qustions
You are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats. You sample 170 men, and 70% own cats. You sample 190 women, and 40% own cats. Find the proportion of the pooled samples, ( p c pc ), as a decimal, rounded to two decimal places.
Answer:
The proportion of the pooled samples is 0.54.
Step-by-step explanation:
We have that:
70% of men own cats.
The proportion of men in the sample is:
[tex]\frac{170}{170+190} = 0.4722[/tex]
40% of women own cats.
The proportion of women in the sample is: 1 - 0.4722 = 0.5278
Proportion of the pooled samples
[tex]p = 0.7*0.4722 + 0.4*0.5278 = 0.54[/tex]
The proportion of the pooled samples is 0.54.
The F ratio increases as _________. Group of answer choices the variability between means increases relative to the variability within groups the variability within groups remains the same the total variability decreases the total variability increases the variability between means decreases relative to the variability within groups
Answer:
The F-Ratio increases as, the variability between means increases relative to the variability within groups
Step-by-step explanation:
The F-Ratio is given as follows;
[tex]F-Ratio = \dfrac{MS_{between}}{MS_{within}}[/tex]
Where;
[tex]MS_{between}[/tex] = The variance between groups
[tex]MS_{within}[/tex] = The variance within groups
Therefore, as the F-Ratio increases, the variability between groups (means) increases relation to the variability within groups
a regular deck of cards has a total of 52 cards. (Note: Aces count as 1.) if one card is drawn at random from the deck, find the probability of the following events: it a 7, 8, or a king
find the missing side. Round it to the nearest tenth.
Answer:
37.3
Step-by-step explanation:
tan63 = opposite/adjacent = x/19
x = 19tan63 = 37.2895 = 37.3
Formula used: [tex]b=\sqrt{c^2-a^2}[/tex]
a = 19
b = x
c = 63
solution
b = [tex]\sqrt{c^2-a^2}[/tex]
b = [tex]\sqrt{63^2-19^2}[/tex]
b = [tex]\sqrt{3,969 -361}[/tex]
b = [tex]\sqrt{3,608}[/tex]
b = [tex]\sqrt{60.0666}[/tex]
rounded off: 60.0 or just 60
x = 60
I just need to know if my answer is correct or not please!
Answer:
Step-by-step explanation:
correct 100%
SEE QUESTION IN IMAGE
Answer:
B. 48°Step-by-step explanation:
∠OST = 90° as ST ⊥ OS (tangent is perpendicular to radius at same point)
m∠OSP = 1/2(180° - m∠SOP) = 90° - 96°/2 = 42° (sum of interior angles of the triangle SOP)
m∠PST = 90° - m∠OSP = 90° - 42° = 48° (angle addition postulate)
Correct choice is B
A metal rod will be cut into pieces that are each 1/56 meters long. The rod is 7/8
meters long how many pieces will be made from the rod? Write in simplest form.
7/8 = x/56
x = 7 x 7
so, 49/56 = rod
so, 49 pieces will be made
hope it helps :)
PLZ HELP!!!
Find the range of the following piecewise function.
Answer:
B
Step-by-step explanation:
the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.
PLEASE HELP WILL MARK BRAINLIEST!!!! You work for a consumer advocate agency and want to find the mean repair
cost of a washing machine. As part of your study, you randomly select 40
repair costs and find the mean to be $120.00. The sample standard deviation
is $17.50. The 99% confidence interval for the population mean repair cost is? A.(112.86, 127.14) B.(114.58, 125.42) C. (115.43, 124.57) D. (111.57, 128.43)
Answer:
The correct answer is - A.(112.86, 127.14)
Step-by-step explanation:
Given:
mean = $120
sd = $17.50
n = 40
Solution:
Confidence interval for a populationcan be express as mean +/- margin of error (E)
degree of freedom = n-1 = 40-1 = 39
confidence level (C) = 99% = 0.01
significance level = 1 - C = 1 - 0.01 = 0.99 = 99%
by margin of error E = t×sd/√n = 2.58*17.50/√40
= 2.58*2.76
= 7.138 or 7.14
then the lower limit of mean = mean - E = 120 - 7.14 = $112.86
and, the upper limit of population mean = mean + E = 120 + 7.14 = $127.14
Value ofc -x^2+3x+c=0
Answer:
they are the values of the 3 coefficients.
Step-by-step explanation:
HELP!
what is the y-intercept of the function f(x)=5*(1/6)^x
Answer:
The y intercept is (0,5)
Step-by-step explanation:
f(x) = 5 * (1/6)^x
What is the y intercept? Let x = 0
f(0) = 5 * (1/6)^0
f(0) = 5*1 = 0
The y intercept is (0,5)
what is the correct expansion of this expression (w-p)(3p+w)
Answer:
3pw + w^2 - 3p^2 - pw = 2pw + w^2 - 3p^2
Step-by-step explanation:
Multiply every term of the first binomial by every term of the second binomial.
(w - p)(3p + w) = 3pw + w^2 - 3p^2 - pw = 2pw + w^2 - 3p^2
In order for a quadratic to have a vertical compression, what can be said of the a control
value
Answer:
The function will have a vertical compression when 0 < α < 1
Step-by-step explanation:
The vertex form of a quadratic function showing the factors of the transformation of the function, is presented as follows;
[tex]f(x) = a \cdot \left(\dfrac{x}{c} - h \right)^2 + k[/tex]
The vertical scaling of the function (compression and stretching) is given by the value of the α control coefficient
A vertical stretch occurs when α > 1, while a vertical compression occurs when 0 < α < 1
Therefore, in order for a quadratic function to have a vertical compression, 0 < α < 1.
what is 8^100 / 8^50 is 8^50
Answer:
5000
Step-by-step explanation:
which one is the 25th island of Greece?
1. amorgos
2. sus island
3. the hair of dog
Answer:
obviously sus island
Step-by-step explanation:
Mark made a sandwich that was 5 inches long and 7 inches high. If he cuts
the sandwich in half, what would be the diagonal length of the sandwich?
Explanation
a sanwich which is most commonly a square, has the side lengths of 5 and 5.
cuting this in half will give you a 45-45-90 triangle
the legs will be measure of x, and the hypotonuse will be x[tex]\sqrt{2}[/tex]
so the hypotonuse is 5[tex]\sqrt{2}[/tex]
The diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
How to calculate the lengthUsing the Pythagorean theorem, we can calculate the diagonal length as follows:
diagonal² = length² + height²
diagonal² = (5 inches)² + (3.5 inches)²
diagonal² = 37.25 inches²
Taking the square root of both sides, we find:
diagonal = √37.25 inches
Calculating the square root of 37.25, we get:
diagonal ≈ 6.106 inches
Therefore, the diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
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Find the volume of this cylinder. 9cm 20cm
a 29cm
b 38cm
c 180cm
d 1620cm
Step-by-step explanation:
v=Ah
A=9×12
= 108
then, v=108×8
Solve the triangle. Round to the nearest tenth when neccesary or to the nearest minute as appropriate.
Answer:
Here is the detailed answer below
Step-by-step explanation:
Nghiệm của bất phương trình | 2x - 3| - 1 <0
Answer:
x = 1 và 2 x= 1 and 2
Step-by-step explanation:
Đầu tiên trừ đi 1 để được 2x-3 nhỏ hơn -1 sau đó bạn lập phương trình bằng 2x-3 = -1 và 2x-3 = 1 để nhận được kết quả cuối cùng là 1 và 2 do đó x = 1 và 2
First subtract 1 to get 2x-3 is less then -1 then you let the equation equal 2x-3=-1 and 2x-3=1 to get a final answer of 1 and 2 therefore x=1 and 2
