The amount liters of liquid needed for 2 servings of pudding.
Solution:1 serving:[tex]600 + 120[/tex]
[tex] = 720 \: ml[/tex]
2 serving:[tex]720 \times 2[/tex]
[tex] = 1440 \: ml[/tex]
Let's solve[tex]\boxed{\sf{Formula: 1 \: L = 1000 \: ml}}[/tex]
[tex] \frac{1440}{1000} [/tex]
[tex]\large\boxed{\sf{= 1.44 \: L}}[/tex]
Therefore, 1.44 litres of liquid are required for 2 servings.
Find the greatest common factor (GCF) for the pair of 12 and 15
Answer:
3
Step-by-step explanation:
in the image Attached
......
Answer:
3
Step-by-step explanation:
Prime factorize both numbers :
12 = 2² x 315 = 5 x 3The GCF is the highest common term that both terms share.
Hence,
GCF (12, 15) = 3in a semiconductor company's quality control test, a machine found that 22 out of a sample of 600 computer chips were defective how many of the 36,000 computer chips the company makes each would you expect to be defective?
Answer:
1320 should be expected
Step-by-step explanation:
22 = 600
x10
220 = 6,000
x6
1320=36,000
what principle will amount to $4000 if invested at 8.5% compounded quarterly for 5 years?
Answer:
$2626.75
Step-by-step explanation:
First, let's set up the equation for this: [tex]4000 = P(1 + \frac{0.085}{4})^{4(5)}[/tex]
Now, we can simply divide [tex]\frac{4000}{(1+\frac{0.085}{4})^{20} }[/tex]
and we get P ≈ $2626.75
Help!!!!PLEASE & THANKS
x° = 25°
25° is the answer
In a recent survey of gun control laws, a random sample of 1000 women showed that 65% were in favor of stricter gun control laws. In a random sample of 1000 men, 60% favored stricter gun control laws. Construct a 95% confidence interval for p1 − p2.
Answer:
[tex]CI\approx\{0.0076,0.0924\}[/tex]
Step-by-step explanation:
The formula for a z-confidence interval for a difference of proportions is [tex]\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}[/tex]:
Let [tex]\hat{p}_1=0.65[/tex] to represent the sample proportion of [tex]n_1=1000[/tex] women who are in favor of stricter gun control laws and let [tex]\hat{p}_2=0.60[/tex] to represent the sample proportion of [tex]n_2=1000[/tex] men who are in favor of stricter gun control laws.
A 95% confidence level corresponds to a critical value of [tex]z^*=1.96[/tex], so now we perform the necessary calculations assuming conditions are met:
[tex]\displaystyle CI=(0.65-0.60)\pm 1.96\sqrt{\frac{0.65(1-0.65)}{1000}+\frac{0.60(1-0.60)}{1000}}\approx\{0.0076,0.0924\}[/tex]
Hence, we are 95% confident that the true difference in the proportion of women and men who favor stricter gun control laws is between 0.0076 and 0.0924
Since the interval does not contain "0" and only contain values greater than "0", it is more likely that the proportion of women who were in favor of stricter gun control laws is higher than the proportion of men who were in favor of stricter gun control laws.
Solve the equation by completing the square. x^2 + 12x + 36 = 0 x = [?]
Answer:
x = - 6
Step-by-step explanation:
x² + 12x + 36 = 0 ( subtract 36 from both sides )
x² + 12x = - 36
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(6)x + 36 = - 36 + 36
(x + 6)² = 0 ( take square root of both sides )
x + 6 = [tex]\sqrt{0}[/tex] = 0 ( subtract 6 from both sides )
x = - 6
✓ Be sure your photo is not blurry
7x-3(5x+2)-6(7+2x)
Answer:
-20x-48
Step-by-step explanation:
7x-(15x +6)-6(7+2x)
7x-(15x+6)-(42+12x)
7x-15x-6-42-12x
(7x -15x-12x)+(-6-42)
=-20x-48
Answer:
-20x - 48
Step-by-step explanation:
7x - 3(5x +2) - 6*(7 + 2x) = 7x + (-3)*5x + (-3)*2 + (-6)*7 + (-6)*2x
= 7x - 15x - 6 - 42 - 12x
= 7x - 15x - 12x - 6 -42 {Combine like terms}
= -20x - 48
In a house, there is a small statue in the shape of a cylinder. The cylinder has a diameter of 8 inches and a height of h inches
Which equation can be used to find V, the volume of the cylinder in cubic inches?
The equation that best represent the volume of the cylinder in cubic inches is V = π4²h.
What is a cylinder?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi.
Given that;
Diameter d = 8inRadius r = d/2 = 8in/2 = 4inHeight = hVolume of the cylinder V = ?V = π × r² × h
V = π × (4)² × h
V = π4²h
Therefore, the equation that best represent the volume of the cylinder in cubic inches is V = π4²h.
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help, urgently pls, check out my profile i need help with pls
Answer:
Perimeter = 132.2 ft
Area = 766.9 ft^2
Step-by-step explanation:
Perimeter of Circle : P = 2 * pi * r
Perimeter of Rectangle : P = 2*l + 2*w
Perimeter of Circle : P = 2 * pi * 15 = 30*pi ft
Perimeter of Rectangle : P = 2*15 + 2*4 = 30 + 8 = 38 ft
Total Perimeter = 132.2 ft
Area of Circle : A = pi * r^2
Area of Rectangle = L * W
Area of Circle : A = pi * 15^2 = 225*pi ft^2
Area of Rectangle = 15 * 4 = 60 ft^2
Total Area = 225*pi + 60 = 766.9 ft^2
Answer:
236.7 = area
55.1 = perimeter
7) m² - 12m +26=0 find the vertex
Answer:
(14, -2)
I could totally be wrong though, I haven't done this type of math in years.
The area of the circle is square
inches and the circumference is
inches.
16л, 8л
8л, 16
O 161, 641
o 640, 165
Answer:
16л, 8л
Step-by-step explanation:
r=4
area=4*4л
=16л
circumference= 2л*4
=8л
H The price of a 2 pack Mini Brands is no more than $15. Write an inequality to represent this scenario.i
Directions:Solve this equation
[tex]5 + 5x= 12x - \frac{12}{5} \times 7\div 5[/tex]
Thanks to whoever answers! <3
Answer:
-3.21538461538
Step-by-step explanation:
[tex]\mathrm{Equation\;Given:}\; 5+5x=\frac{12x-\frac{12}{5}\cdot \:7}{5}[/tex]
[tex]\mathrm{Multiply\;both\;sides\;by\;5}:[/tex] [tex]5\cdot \:5+5x\cdot \:5=\frac{12x-\frac{12}{5}\cdot \:7}{5}\cdot \:5[/tex]
[tex]\mathrm{Now\;we\;have\;}:[/tex] [tex]25+25x=12x-\frac{84}{5}[/tex]
[tex]\mathrm{Subtract\;by\;sides\;by\;25}:[/tex] [tex]25+25x-25=12x-\frac{84}{5}-25[/tex]
[tex]\mathrm{Thus\;we\;have}:[/tex] [tex]25x=12x-\frac{209}{5}[/tex]
[tex]\mathrm{Subtracting\;12x\;from\;both\;sides}:[/tex] [tex]25x-12x=12x-\frac{209}{5}-12x[/tex]
[tex]\mathrm{So\;then\;we\;have:}[/tex] [tex]13x=-\frac{209}{5}[/tex]
[tex]\mathrm{Now\;divide\;both\;sides\;by\;13}:[/tex] [tex]\frac{13x}{13}=\frac{-\frac{209}{5}}{13}[/tex]
[tex]\mathrm{Hence\;we\;have}:\;\;x=-\frac{209}{65}[/tex]
[tex]\mathrm{Decimal\;form}:-3.21538461538[/tex]
Kavinsky
suppose you throw a ball straight up from the ground with a velocity of 224 feet per second. as the ball moves up, gravity slows it. eventually, the ball begins to fall back to the ground. the height h of thr ball after t seconds in the air is given by the equation h=-16t^2 + 224t. use the given information to answer.
a. find the height of the ball after four seconds. (type a whole number)
b. how long will it take the ball to reach a height of 768 ft?
c. how long after you throw the ball will it return to the ground? (type w whole number)
a. The height of the ball after four seconds is 640 ft
b. The time the ball reachs a height of 768 ft is 6 s or 8 s.
c. The time the ball reachs the ground after it is thrown is 14 seconds.
Since the height of the ball is a parabola, we need to know the equation parabola is
What is a parabola?A parabola is an equation of the form x(t) = at² + bt + c
a. Height of the ball after four secondsThe height of the ball after four seconds is 640 ft
Since the height of the ball is represented by the equation h(t) = -16t² + 224t. The height of the ball after four seconds is when t = 4.
So, h(t) = -16t² + 224t.
h(4) = -16(4)² + 224(4)
h(4) = -16(16) + 224(4)
h(4) = -256 + 896
h(4) = 640 ft
The height of the ball after four seconds is 640 ft
b. How long will it take the ball to reach a height of 768 ft?The time it takes the ball to reach a height of 768 ft is 6 s or 8 s.
To find this time, we substituie h = 768 into the equation for the height of the ball.
So, h(t) = -16t² + 224t
768 = -16t² + 224t.
16t² - 224t + 768 = 0
t² - 14t + 48 = 0
Using the quadratic formula, we find t
[tex]t = \frac{-(-14) +/- \sqrt{(-14)^{2} - 4 X 1 X 48} }{2 X 1} \\t = \frac{14 +/- \sqrt{196 - 192} }{2}\\t = \frac{14 +/- \sqrt{4} }{2}\\t = \frac{14 +/- 2 }{2}\\t = \frac{14 + 2 }{2} or t = \frac{14 - 2 }{2}\\t = \frac{16}{2} or t = \frac{12}{2}\\t = 8 or 6[/tex]
So, the time it takes the ball to reach a height of 768 ft is 6 s or 8 s.
c. How long after you throw the ball will it return to the ground?The time it takes the ball to reach the ground after it is thrown is 14 seconds.
To find the time it takes the ball to reach the ground, the height, h = 0.
So, h(t) = 0
-16t² + 224t = 0
-16t(t - 14) = 0
t(t - 14) = 0
t = 0 or t - 14 = 0
t = 0 or t = 14 s
So, the time it takes the ball to reach the ground after it is thrown is 14 seconds.
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Part A - determine the slope of Line MN.
Part B - determine the length of line MN.
share the ration .....
Answer:
Tom: £166
Ben: £581
Step-by-step explanation:
In the ratio 2 : 7 there are 9 portions total (2 + 7 = 9).
£747 / 9 = £83
For Tom:
£83 * 2 = £166
For Ben:
£83 * 7 = £581
Checking our work:
Since the decimals are the same, this means the ratios are equal.
2/7 = 0.2857
166/581 = 0.2857
Triangle
RST is graphed on a coordinate plane with vertices
R(-2, -2),
S(5,-1), and
T(-1,-4). Which of the following methods would
prove that triangle
RST is a right triangle? Select ALL that apply.
A. Applying the slope formula on each of the sides and showing that two of the slopes are negative reciprocals.
B. Applying the distance formula on each of the sides and showing that the three lengths satisfy the converse of the Pythagorean Theorem.
C. Applying the midpoint formula on two of the sides and showing that the segment with the two midpoints as endpoints is half the length of the third side.
Answer:
A. and B.
Step-by-step explanation:
A local couple is deciding to invest their lifetime savings of $68,000.00 into a Fijian business. They are considering two businesses. Business A, in the food and beverage (FNB) industry, provides an annual cash income of about $8,000 for 10 years. Business B, in the clothing and textiles industry, provides an annual cash income of $7,500 for 11 years commensurate with their level of investment. If the couple on the other hand decide to leave their lifetime savings into a fixed deposit at their current bank, which is a large international bank, they would get about 1.5 percent per annum. The economy is currently in the expansionary phase of the business cycle. However, it is forecasted that a severe global downturn is expected in 1 years’ time and the resulting recession will last about 1 year thereafter. During the recession, it is expected that cash flows in the FNB industry will fall by 40 percent per annum. In the clothing and textiles industry, it is expected that cash flows will fall by about 35 percent per annum. The general elections are expected to be held in 4 years’ time. Policy changes around taxation could be expected but at present are uncertain.
Required:
i. Calculate the present value of the cash inflows of both alternatives and compare it against the investment required. Clearly show which investment is preferred
ii. Identify and discuss the key risks faced by the couple in each scenario
iii. Against the type of risks involved, please discuss which investment would you choose
The best investment option for this couple is the Food and Beverage industry because it is the one that gives them the highest profits within 11 years compared to the other alternatives.
How to calculate the profit of the couple in each investment alternative?To calculate the pair's gain in each alternative we must perform the following mathematical operations:
Food and beverage (FNB) industry
$8,000 × 10 years = $80,000$8,000 ÷ 100 = $80$80 × 40% = $3,200$80,000 - $3,200 = $76,800$76,800 + $8,000 = $84,800Clothing and textiles industry
$7,500 × 11 years = $82,500$7,500 ÷ 100 = $75$75 × 35% = $2,625$82,500 - $2,625 = $79,875Current Bank
$68,000 ÷ 100 = $680$680 × 1.5% = $1,020$1,020 × 11 = $11,200$68,000 + $11,200 = $79,220Based on the foregoing, it can be inferred that the best investment option for the couple is the Food and Beverage (FNB) industry because it is the one that leaves the highest profits despite the decrease in profits during the second year.
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what are the domain and range of the function represented by the set of ordered pairs?.
Answer:
a
Step-by-step explanation:
domain is based on x values in the front
range is based on y values in the back
ANWER THIS CORRECTLY FOR BRAINLIEST (algebra)
Answer:
6202.73 cubic centimeters
Explanation:
volume of sphere: 4/3 π(radius)³
Here given:
diameter: 22.8 cmradius: diameter/2 - 22.8/2 = 11.4 cmVolume:
4/3 π(radius)³insert values
4/3 (3.14)(11.4)³simplify
6202.73 cm³C (-1,-7), A (1,4), T (5, 1). What kind of triangle is CAT? Calculate the area and the perimeter of CAT.
A) Right Angle Triangle
B) 25 units²
C) (15 + 5√5) units
Figure Their Length:[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Distance between C and A
[tex]\rightarrow \sf CA = \sqrt{(1 - (-1))^2 + (4 - (-7))^2} \ = \ 5\sqrt{5}[/tex]
Distance between C and T
[tex]\rightarrow \sf CT = \sqrt{(-1-5)^2+(-7-1)^2} \ = \ 10[/tex]
Distance between A and T
[tex]\rightarrow \sf AT = \sqrt{(1-5)^2 +(4-1)^2} \ = \ 5[/tex]
Part A:
When drawn on graph, we can identify it is a right angle triangle.
Or use Pythagoras Theorem:
10² + 5² = (5√5)²
125 = 125... Hence it is a right angle triangle confirmed.
Part B:
Area of triangle = ½ × base × height = ½ × 10 × 5 = 25 units²
Part C:
Total Sum or measure of all sides: 5 + 10 + 5√5 = 15 + 5√5 units
can anyone help me identify the center and radius on these 3 pls , brainly
Answer:
See below
Step-by-step explanation:
Circle equation standard form
(x-h)^2 + ( y-k)^2 = r^2 h, k is the center
All are centered at 0,0
radii are sqrt(225) = 15 sqrt 49 = 7 and sqrt 178
If you complete the square in the quadratic equation , you get the quadratic formula for the solutions x _______.
Answer:
[tex]D. \ \ x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]
Step-by-step explanation:
ax² + bx + c = 0
[tex]a\left( x^{2}+\frac{b}{a} x+\frac{c}{a} \right) =0[/tex]
[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}}{4a^2}+\frac{c}{a} \right) =0[/tex]
[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a^2}\right) =0[/tex]
[tex]a\left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a}=0[/tex]
[tex]a\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a}[/tex]
[tex]\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a^2}[/tex]
[tex]x+\frac{b}{2a} =\frac{\pm \sqrt{b^{2}-4ac} }{2a}[/tex]
[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]
10)
Ross has (8x-5) tickets for Chuck E Cheese. He is going to play today and wants to buy
a prize that is (15x+1) tickets. How many tickets must be win to have enough tickets to buy the
prize?
Answer:
(7x + 6) tickets
Step-by-step explanation:
Tickets Ross has : 8x - 5
Tickets Ross needs : 15x + 1
To find out the remaining amount, subtract the tickets Ross has from the number of tickets he needs.
15x + 1 - (8x - 5)15x + 1 - 8x + 5(7x + 6) ticketsMust ticket win
Prize-Previous amount15x+1-(8x-5)15x+1-8x+515x-8x+1+57x+6 ticketsfind the volume of the shape
Answer:
hmmm the mass are the numbers of the up and volume of the bottom
Step-by-step explanation:
!!PLEASE HELP!!
I've been stuck on this for 2 hours I have no idea what I'm doing pls explain your answer am begging you
Answer:
So basically there are the letters V, U , T, and S on each corner right? If you remove the X and cross in the middle, the shape of V, U, T, and S gives you a parallelogram. A parallelogram is a shape that has two pairs of parallel sides. The lines V and U are parallel to the lines S and T. The same goes for lines V and S; they are parallel to U and T.
Step-by-step explanation:
I hope this helped! I tried to explain the best as I could..
What are the phrase in a business cycle
order least to greatest -20 3/4, -15 1/2, -14 3/4,-1/4
Answer:
its already in order from least to greatest
Step-by-step explanation:
6 minus the diffrence x and 3
Answer: It's 3
The sum of 6 and 3 divided by the difference of 6 minus 3
Step-by-step explanation:
The sum of 6 and 3: 6+3The difference of 6 minus 3: 6-3The sum of 6 and 3 divided by the difference of 6 minus 3:
I hope this helps :) [tex]\frac{6}{3} \frac{6}{3} =\frac{9}{3} =3[/tex]
A design for a garden is composed of a triangle and 2 rectangles. Some side lengths of the garden design are shown.
What is the area of the garden in square feet?
Answer:
215.625square feet
Step-by-step explanation:
area rectangle = l x w = 7.5x12.5
area triangle = ½ x b x h = ½x 7.5 x 7.5
area of shape = 93.75+93.75+28.125= 215.625square feet