The angle that would be used to show the number of children that chose tomato soup on a pie chart is 200°.
What angle reprsents the children that chose tomato soup?
A pie chart displays data in a circle. The sum of angles in a pie chart is 360 degrees
The first step is to determine the angle that would be used for children that chose chicken soup: 1/4 x 360 = 90
Remaining angle = 360 - 90 = 250 degrees.
Angle that can be used to represent the children that chose tomato soup: 4x + x = 250
5x = 250
x = 50
50 x 4 = 200 degrees
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Amanda and her little brother each throw a model airplane at the same time, but from different heights on the playground. The functions h(x) = -16x2 + 24x + 40 and g(x) = -16x2 + 10x + 21 represent the heights of Amanda's plane and her brother's plane, respectively, x seconds after the planes are thrown.
Which of the following statements is true?
Amanda's brother's model airplane will stay in the air for 3 seconds longer than Amanda's model airplane.
Amanda's brother's model airplane will touch ground 2 seconds earlier than Amanda's model airplane.
Amanda's model airplane will touch ground 4 seconds earlier than Amanda's brother's model airplane.
Amanda's model airplane will stay in the air for 1 second longer than Amanda's brother's model airplane.
find the value of x?
Answer:
x = 63 units
Step-by-step explanation:
130 tan 39 = entire L side
130 tan 39 - 130 tan 18 = x = 63
A circle has a donated of 4.5cm a larger circle has a diameter of 24cm what is the aporximent diffrent in the circumference of the two circles
Answer:
difference ≈ 61.3 cm
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = πd ( d is the diameter ) , then
difference = 24π - 4.5π = 19.5π ≈ 61.3 cm ( to 1 dec. place )
The elevation of Death Valley is -86 meters. Which equation shows how many meters below sea level Death Valley is located? Group of answer choices |-86| = 86 |-86| = - 86 |86| = -86 |86| = 86
Answer:
|-86| = 86
The absolute value of -86 is 86!
Tip : The absolute value is always positive.
Answer:
|-86| = 86
Step-by-step explanation:
Ali is in charge of the dinner menu for his senior prom, and he wants to use a one-sample z interval to estimate
what proportion of seniors would order a vegetarian option. He randomly selects 30 of the 150 total seniors
and finds that 7 of those sampled would order the vegetarian option.
Which conditions for constructing this confidence interval did Ali's sample meet?
Choose all answers that apply:
A. the data is a random sample from the population of interest
B. np^>_10 and n(1-p^)>_10
C. individual observations can be considered independent
Answer: A: The data is a random sample from the population of interest
Step-by-step explanation: kahn
A
The bases are the same size and shape and perpendicular to each
other.
B
The bases are a different size and shape and parallel to each other.
с
The bases are a different size and shape and perpendicular to each
other.
D
The bases are the same size and shape and parallel to each other.
What is the value ofthe expression 1 2 (m-4).. when me 12 and na 3 4 OA) ? OB) 1 OC) 2 OD)
HELP ASAP
1 is the answer......
WHATS UP KID
Consider the sequence below:
-9, -6, -1, 6, 15 …
What is the 8th term of the sequence?
Please answer and have a great day :)
Answer:
180-108=72.
72/3=24.
24x2=48
For which values of x is the expression undefined
Answer:
x = ±1
Step-by-step explanation:
x² - 1 = 0
x² = 1
x = ±1
I hope this helps!
5. The sports store sold three times as many basketballs as footballs last month. If they sold
140 fewer footballs than basketballs, how many of each type of ball did they sell last
month?
Answer:
basketballs = 210 footballs = 70
Step-by-step explanation:
footballs =b
basketballs= 3b
if there ate 140 fewer footballs than basketballs it means that the difference between basketballs and footballs sold is 140
hence 3b - b = 140
2b= 140
b= 70
hence footballs are 70
while basketballs are 70×3 = 210
A simple random sample of 49 8th graders at a large suburban middle school indicated that 89% are involved in some type of after school activity. Find the 95% confidence interval that estimates the proportion of them that are involved in an after school activity.
A. [0.722], [0.978]
B. [0.802], [0.978]
C. [0.702], [0.928]
D. [0.802], [0.778]
E. [0.852], [0.857]
F. None of the above
Answer:
B. [0.802], [0.978]
Step-by-step explanation:
n=49
p=.89
confidence level of 95% has a z value of 1.960
z*= 1.960
z*=qnorm(1.95/2)
p+/-z* multiplied by sqrt[ P * ( 1 - P ) / n ]
p+/-z*times(√(p)(1-p)/n)
.89+/-1.960* (square root of (.89)(.11)/49))
calculatornetconfidenceintervalcalculatorhtml
mathuheducathyMath2311TestsTest2032311PT3helppdf
Simplify the expression.
Answer:
the answer is
[tex] \frac{12 {c}^{8} }{ {d}^{2} } [/tex]
Step-by-step explanation:
[tex] \frac{12}{ {c}^{ - 8} {d}^{2} } [/tex]
solve the right triangle (all sides and angles) please help!!!
prove that
[tex]4cot45 ^{2} - 3tan ^{2} 60 + 2sec ^{2}60 = 3[/tex]
help me
Answer:
[tex]4 \cot {}^{2} (45) - 3 \tan {}^{2} (60) + 2 \sec {}^{2} (60) = 3 \\ [/tex]
[tex]LHS = 4 \cot {}^{2} (45) - 3 \tan {}^{2} (60) + 2 \sec {}^{2} (60) \\[/tex]
let us first take a look at the values of the trigonometric ratios given in the question so that we get quite clear about what is to be done.
here ,
[tex] \cot(45) = 1 \\ \\ \tan(60) = \sqrt{3} \\ \\ \sec(60) = 2[/tex]
now ,
we just have to plug in the values considering certain other things given in the question and we're done!
so let's start ~
[tex]4(1) {}^{2} - 3( \sqrt{3} ) {}^{2} + 2(2) {}^{2} \\ \\ \dashrightarrow \: 4(1) - 3(3) + 2(4) \\ \\ \dashrightarrow \: 4 - 9 + 8 \\\\ \dashrightarrow \: 12 - 9 \\ \\\dashrightarrow \: 3 = RHS[/tex]
hence , proved ~
hope helpful :D
y + 9 * 3 / 4
3/4 is the fraction
Answer:
y+6.75
Step-by-step explanation:
Answer: y+6.75
Follow Order of Operations
y+9*3/4
9*3/4 = 6.75
y+6.75
1)
Which of these are equations of lines that are parallel to the x-axis?
Select all that apply.
A. y=-3
3
4
B. y =5.3
5
C. X=
6
x 6
D. X=-7
k
E. y = 20
F. X = 8.2
Write the algebraic expression that represents the phrase “the quotient of a number and 4?”
Answer:
x/4
Step-by-step explanation:
i need help on this badly
Answer:
shorter than, shorter than, will not
Step-by-step explanation:
First, we can find out the diagonal of the base of the box using Pythagoras' theory - a² + b² = c²
32² + 8² = 1088
c = √1088 = 32.984845
This means that the diagonal of the base of the box is shorter than the bat (32.984845 is less than 34)
Next, we can work out the interior diagonal, again using Pythagoras' theory - a² + b² = c²
32.984845² + 6² = 1124
c = √1124 = 33.52610923
This means that the length of the interior diagonal of the box is shorter than the bat (33.52610923 is less than 34)
Therefore, Julian's bat will not fit in the box.
Hope this helps!
What is the value of the x-coordinate of point A?
Answer:
(1/2,square root 3/2) is the answer
Acme Movers charges $45 plus $40 per hour to move household goods across town. Hank's Movers charges $55 per hour. For what lengths of time does it cost less to hire Hank's Movers?
The time when Hank's Movers will cost less is the point when the total charges is both Movers are Equal, the time is at 3 hours
Word ProblemGiven Data
Acme Movers charges $45Plus $40 per hour Hank's Movers charges $55 per hourLet x be the time takenFor Acme, the expression for the total charges is
Total = 45+40x ----------1
For Hank, the expression for the total charges is
Total = 55x ----------------2
Equating both expressions we have
45+40x = 55x
collect like terms
45 = 55x-40x
45 = 15x
divide both sides by 15
x = 45/15
x = 3 hours
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(x – 5)² + (y + 11)² = 49
a. What type of conic is this?
b.What is the center?
c. What is the radils?
d. What is the area of this shape?
Help pleaseee
Answer:
See below for answers and explanations
Step-by-step explanation:
Part A
The equation is in the form of [tex](x-h)^2+(y-k)^2=r^2[/tex], which happens to be the equation of a circle
Part B
For the equation of the circle, its center is at [tex](h,k)\rightarrow(5,-11)[/tex]
Part C
Since [tex]r^2=49[/tex], then the radius of the circle is [tex]r=7[/tex]
Part D
The area of a circle is [tex]A=\pi r^2[/tex], so the area is [tex]49\pi[/tex] square units.
You had $250 to spend on six hydro flask. After buying them you had $10 . How much did each flask cost?
Step-by-step explanation:
[tex]see \: if \: 10 \: are \: left \: then \: we \: hve \: spent \\ 250 - 10 = 240 \: dollars \\ [/tex]
hence
[tex]six \: flasks \: cost \: 240 \: dollars \\ so \: if \: we \: divide \: 240 \: by \: 6 \: we \: get \: 40 \: \\ [/tex]
so one flask costs 40$
If alpha and beta are the zeros of the polynomial 2x2+5x+k, find k such that (alpha)2+(beta)2+(alpha)*(beta)=24
Answer:
k = -35.5
Step-by-step explanation:
When α and β are zeros of the polynomial 2x² +5x +k, it can be written in factored form as ...
2x² +5x +k = 2(x -α)(x -β)
When the factored form is expanded, it becomes ...
= 2x² -2(α+β)x +2αβ
Comparing this to the original, we see that ...
5 = -2(α+β)k = 2αβ__
Then the given expression can be used to find k:
α +β = -5/2 . . . . . solved the first relation for α+β
(α +β)² = (α² +β² +αβ) +αβ = 24 +αβ
(-5/2)² = 24 +αβ . . . . . . . use -5/2 for α+β
αβ = 25/4 -24 = -17.75 . . . . . solve for αβ
Then the value of k is ...
k = 2αβ = 2(-17.75)
k = -35.5
List three numbers that are less than -7
Answer:
Step-by-step explanation: first one way that you can answer this question is to use a numberline, so you start at zero and go to the left of the numberline and the numbers behind -7 would be -8,-9, and or ,-10 they are all less than negative seven
Veronica wants to convert 108 inches to feet. What does she need to do?
Answer:
Divide 108 by 12 since there are 12 inches in a foot.
108 ÷ 12 = 9
Veronica needs to divide 108 inches by 12 to get 9 feet.
To convert inches to feet, Veronica needs to divide the number of inches by 12, as there are 12 inches in a foot.
Given that Veronica wants to convert 108 inches to feet, she should perform the following calculation:
108 inches ÷ 12
= 9 feet
Therefore, Veronica needs to divide 108 inches by 12 to get 9 feet.
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Write a polynomial with zeros 0,-3, and 2 with multiplicities 2,1, and 2, respectively. What is its degree?
Polynomial is an expression that consists of indeterminates(variable) and coefficients. The degree of the polynomial will be 5.
What are polynomials?
Polynomial is an expression that consists of indeterminates(variable) and coefficients, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The polynomial with zeros 0,-3, and 2 with multiplicities 2,1, and 2, respectively, can be written as,
[tex](x-0)^2(x+3)^1(x-2)^2\\\\= x^2(x+3)(x^2+4-4x)\\\\=(x^3+3x^2)(x^2+4-4x)\\\\=x^5 +4x^3-4x^4+3x^4+12x^2-12x^3\\\\=x^5 -x^4-8x^3+12x^2\\[/tex]
Hence, the degree of the polynomial will be 5.
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3⁄4 of 2⁄3 =? givin brainliest
Answer:
1/2
Step-by-step explanation:
3/4 of 2/3 = 3/4 × 2/3 = 6/12 = 1/2
The probability distribution for a random variable x is given in the table.
(see image)
Find the probability that x<-3
Answer:
30%
Step-by-step explanation:
The sign means that x can be equal to or LESS than -3. The only ones are -3 and -5. 0.17+0.13=0.30
What's the difference between arithmetic and geometrical sequence with examples please.
Answer:
An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.
-- Credit -- libretexts
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Answer:
An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.
Step-by-step explanation:
