Answer:
16.8 or 16 whole 4/5
Step-by-step explanation:
14 divided by 5/6
take reciprocal
14 x 6/5
84/5
16.8
(b) If n(U)= 300, n(M) = 150, n(T) = 144 and n( MT)= 33. Find the value of n(MUT). (ii) Present the above information in a Venn diagram.
Answer:
Step-by-step explanation:
n(M ∪ T) = n(M) + n(T) - n(M∩T)
= 150 + 144 - 33
= 294 - 33
= 261
Select all that apply.
The slope of the graph of a direct variation function is -3. Which of the following is true?
The equation is y = -3x.
The function is linear.
The equation of the function is y = -x .
The point (2, -6) is on the graph of the function.
a and b are correct
c is wrong
d can't be decided, because it can be true for one case, but not for others.
so only go for a and b
Answer:
B. The function is linear. (A and D COULD work)
Step-by-step explanation:
If the graph of a direct variation function has a slope of -3, then we know that the function is linear, and that m in the equation y = mx + b is -3. However, option A could be incorrect since we don't know if there is a y-intercept or not. C is wrong because of -3 being the slope, and D would only be true if A was also correct. So that leaves B. (If you know that there is more than one option, then A, B, and D are correct.)
Find the measure of FG.
Answer:
Choice D, x = 9
Answer:
Step-by-step explanation:
EG = EF + FG = 9 + x - 3 = 6 + x
AG = AH + HG = 6 +x - 2 = 4 + x
Intersecting secant theorem,
FG * EG = HG * AG
(x - 3)*(6 +x) = (x -2)(x + 4)
Use Foil method
6x + x² - 18 - 3x = x² + 4x - 2x - 8
x² + 3x - 18 = x² + 2x - 8
x² - x² + 3x - 2x = -8 + 18
x = 10
verify a(b-c)=ab-ac for a=1.6;b=1/-2;& c=-5/-7
Given:
[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]
To verify:
[tex]a(b-c)=ab-ac[/tex] for the given values.
Solution:
We have,
[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]
We need to verify [tex]a(b-c)=ab-ac[/tex].
Taking left hand side, we get
[tex]a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)[/tex]
[tex]a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)[/tex]
Taking LCM, we get
[tex]a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)[/tex]
[tex]a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)[/tex]
[tex]a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)[/tex]
[tex]a(b-c)=-\dfrac{68}{35}\right)[/tex]
Taking right hand side, we get
[tex]ab-ac=1.6\times \dfrac{1}{-2}-1.6\times \dfrac{-5}{-7}[/tex]
[tex]ab-ac=-\dfrac{16}{20}-\dfrac{8}{7}[/tex]
[tex]ab-ac=-\dfrac{4}{5}-\dfrac{8}{7}[/tex]
Taking LCM, we get
[tex]ab-ac=\dfrac{-28-40}{35}[/tex]
[tex]ab-ac=\dfrac{-68}{35}[/tex]
Now,
[tex]LHS=RHS[/tex]
Hence proved.
What is the surface area of a sphere with a diameter of 14 cm?
Question 6 options:
175.84 cm^2
351.68 cm^2
615.44 cm^2
2461.76 cm^2
Show your work:
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Answer:
(c) 615.44 cm^2
Step-by-step explanation:
The surface area of a sphere is given by ...
A = 4πr² . . . . where r is the radius, half the diameter
A = 4(3.14)(7 cm)² = 196(3.14) cm² = 615.44 cm²
Instructions: Find the measure of the indicated angle to the nearest degree.
?
Answer:
? = 14
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan ? = 8/33
Taking the inverse tan of each side
tan ^-1 ( tan ?) = tan ^-1 ( 8/33)
? =13.62699
To the nearest degree
? = 14
Answer:
14
Step-by-step explanation:
We can solve for either x or y first, but we will choose to solve for x first. The side with length of 8 is opposite the angle x and the side with length of 33 is adjacent. Since we have opposite and adjacent sides, we will use the tangent ratio.
tan(x)= opposite/adjacent
tan(x)= 8/33
To find the measure of angle x, we will use the inverse tan function.
x=tan⁻¹(8/33)= 14
Which inequality is true?
Answer:
[tex]\boxed{\sf Option \ C \ is \ correct .}[/tex]
Step-by-step explanation:
We need to tell which of the given inequality is true . The given inequalities are ,
[tex]\sf A)\pi + 8 <11\\\\\sf B) \dfrac{\pi}{8} > 2 \\\\\sf C) 3\pi > 9 \\\\\sf D) 2\pi - 1 < 5 [/tex]
Let's check the options one by one .
Option A :-
[tex]\sf\longrightarrow \pi + 8 < 11[/tex]
Subtract 8 to both sides ,
[tex]\sf\longrightarrow \pi < 11 - 8 [/tex]
Simplify ,
[tex]\sf\longrightarrow \pi < 3[/tex]
We know the approximate value of pi 3.14 . But the inequality says pi is less than 3 . Therefore the given inequality is incorrect .
______________________________________
Option B :-
[tex]\sf\longrightarrow \dfrac{\pi}{2} > 2 [/tex]
Multiply both sides by 2 ,
[tex]\sf\longrightarrow \pi > 4 [/tex]
We know the approximate value of pi 3.14 . But the inequality says pi is more than 4 . Therefore the given inequality is incorrect .
______________________________________
Option C :-
[tex]\sf\longrightarrow 3 \pi > 9[/tex]
Divide both sides by 3 ,
[tex]\sf\longrightarrow \pi < 9/3[/tex]
Simplify ,
[tex]\sf\longrightarrow \pi > 3 [/tex]
We know the approximate value of pi 3.14 .And the inequality says pi is more than 3 . Therefore the given inequality is correct .
Option C is correct .
Evaluate function from their graph
This is because the point (0,5) is shown on the graph. This is the point on the y axis.
We can say that h(x) = 5 when x = 0.
Answer:
5
Step-by-step explanation:
The fellow who expalined it before before me expalined it correctly, so the answer should be 5.
write a inequality phrase: you have to be at least 21 years of age
Answer:
[tex]a\geq 21[/tex]
Step-by-step explanation:
"At least" is inclusive, so you can be 21 years old.
Answer:
a≥ 21
Step-by-step explanation:
Let a = age
At least means greater than or equal to
a≥ 21
The area of a square, a, depends on its side length, s.
The
is a function of
The function
notation is
_(_).
Answer:
Let area be a and side be s :
[tex]{ \tt{a \: \alpha \: s²}} \\ a = ks²[/tex]
k is a constant, k=1
Porfa es para un examen xD
Answer: -13
Step-by-step explanation:
M(3) → x = 3M(2) → x = 2[tex]\frac{M(3)+M(2)}{2} =\frac{[-2(3)^{2}] +[-2(2)^{2}]}{2}=\frac{(-2)(9)+(-2)(4)}{2}=\frac{-18-8}{2}=\frac{-26}{2}=-13[/tex]
The sum of two numbers is 90. The larger number is 14 more than 3 times the smaller number. Find the numbers.
[ x + y = 90 ; x = 14 + 3y ]
Answer:
fourteen times six equals eighty-four, eighty-four plus six equals 90
What is the value of x in the triangle below?
A. 18
B. 15
C. 6
D. 45
Answer:
it is b I already took it I just checked again
If 4 over 7 ton of concrete covers 7 over 8 of a bridge, how many tons of concrete are required to cover the entire bridge?
Answer:
Your answer would be 32/49.
Step-by-step explanation:
4/7 tons = 7/8 x
4/7 / 7/8
32/49
The tons of concrete are required to cover the entire bridge is 32/49 tons.
What are fractions?A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 4/7.
How many tons is needed to cover the whole bridge?To determine this value, divide 4/7 by 7/8
4/7 ÷ 7/8
4/7 x 8/7 = 32/49 tons
To learn more about the division of fractions, please check: https://brainly.com/question/25779356
PLEASE HELP WILL GIVE BRAINSLIST
Answer: 3. 55° 2. 225° 1. 125°
Step-by-step explanation: don't want brainliest
guys, please help its graph-related. please i will dieeee
(a) Dilation is the process of extending the line segment AB to the longer one A'B'. The scale factor has to be larger than 1, and also it has to be positive.
(b) To get the dilation factor, you should first compute the length of AB, then compare it to the length of A'B'.
A is the point (-4, 2), and B is the point (2, -4). So the length of AB is
√((-4 - 2)² + (2 - (-4))²) = √((-6)² + 6²) = √72
A' is the point (-8, 4) and B' is (4, -8). The coordinates of A' and B' are twice the coordinates of A and B, so the distance is
√((2(-4) - 2(2))² + (2(2) - 2(-4))²) = √(2²×72) = 2√72
Then the dilation factor is
(2√72) / √72 = 2
As for dying, don't worry about it. It happens to everyone.
If 3x−y=12, what is the value of
8x
--
2y
Answer:
wait few minutes i will try
How to solve this truth table ( p-->q) v q
p q
T T
T F
F T
F F
Without using a truth table:
(p ⇒ q) ∨ q ⇔ (¬p ∨ q) ∨ q ⇔ ¬p ∨ q ⇔ p ⇒ q
With a table:
p … q … p ⇒ q … (p ⇒ q) ∨ q
T … T … T … T
T … F … F … F
F … T … T … T
F … F … T … T
A library has 160 books. 3/8 are story books, 1/4 are poetry books and the remainder are books. What fraction is comic books?
Answer:
1/8
Step-by-step explanation:
1/4*2/2=4/8
4/8+3/8=7/8
1-7/8=1/8
solve
[tex]100 {5}^{2} - 500 {5}^{6} [/tex]
Please help before 9:00 pm
PLS HELP 10 POINTS!!!
Identify the term whose coefficient is -12 in the expression:
98x – 12xy2 - 15xy2
Answer:
[tex] - 12xy {}^{2} [/tex]
Step-by-step explanation:
A coefficient is a rational number in front of multiple consecutive terms.
(Question is in the image)
please I really need help
Answer:
c
Step-by-step explanation:
The period is 1 complete cycle of the wave, before repeating.
1 cycle is from - 6 to - 2 , then
period = 4 → c
What is the surface area of the cylinder? Express the answer in terms of pi
d = 8 cm
h = 18 cm
which of the following is equivalent to 18-
[tex] \sqrt{ - 25} [/tex]
a 5i
b 18-5i
c 18+5i
d 23
Answer:
[tex]18-\sqrt{-25}[/tex]
[tex]\sqrt{-25} =5i[/tex]
[tex]=18-5i[/tex]
OAmalOHopeO
A coffee distributor needs to mix a(n) Rift Valley coffee blend that normally sells for $10.20 per pound with a Terraza coffee blend that normally sells for $13.50 per pound to create 40 pounds of a coffee that can sell for $10.37 per pound. How many pounds of each kind of coffee should they mix
Answer:
Rift =37.92 pounds
Terraza=2.08 pounds
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Answer:
Rift Valley: 37 31/33 ≈ 37.94 lbTerraza: 2 2/33 ≈ 2.06 lbStep-by-step explanation:
Let t represent the number of pounds of Terraza blend required. Then 40-t is the number of pounds of Rift Valley blend needed. The cost of the mix will be ...
13.50t +10.20(40 -t) = 10.37(40)
3.30t = 6.8 . . . . . . . . . . . . . . . . . . . . subtract 408
t = 6.8/3.30 = 68/33 = 2 2/33 ≈ 2.06061 . . . . pounds of Terraza
Then the quantity of Rift Valley blend required is ...
40 -2 2/33 = 37 31/33 ≈ 37.93939 . . . . pounds of Rift Valley
Changing some of the values in a data set is called transforming the data.
A. True
B. False
Answer:
The answers is False
Step-by-step explanation:
If the product of two numbers is 1800 and its H.C.F. Is 30, find the L.C.M.
Answer:
LCM = 60
Step-by-step explanation:
Product = HCF × LCM
1800 = 30 × LCM
LCM = 1800/30
∴ LCM = 60
Please help I don’t understand how to solve this !
Answer:
x = 30
Step-by-step explanation:
x + 2x + 3x = 180
6x = 180
6 6
x = 30
Hello again guys I need help with the highest common factor of 12x³yz⁵;16x⁴y³z²
Answer:
hello,
Step-by-step explanation:
a=12*x³yz⁵=4*3*x³yz⁵
b=16*x⁴y³z²=4*4*x⁴*y³*z²
hcf(a,b)=4*x³*y*z²=4x³yz²
When do we use the AC Test?