a recipe calls for 5 8 cup butter angie wants to triple the recipe but she only has 1 1/8 cups of butter.

Select the point that satisfies y less than or equal to x^2-3x+2

solong [7]

Answer:

Point (4,4) satisfies the required condition.

Step-by-step explanation:

x²-3x+2 = x²-2x-x+2

= x(x-2)-1(x-2)

= (x-2)(x-1)

According to the given information

y ≤ (x-2)(x-1) ...(1)

So lets consider one point having coordinates (4,4).

Substitute (4,4) in equation (1), we get

4≤ (4-2)(4-1)

4 ≤ 6

Hence point (4,4) satisfies the above condition. It's only one example there will be more points which satisfies the required condition.

6 0

3 years ago

Read 2 more answers

Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Debnil have?

forsale [732]

Debnil have 2 tablespoons to salt.

Step-by-step explanation:

Given,

Number of teaspoons of salt = 6

Ratio of teaspoons to tablespoons = 3:1

Let,

x be the number of tablespoon of salt for 6 teaspoons.

Ratio of teaspoons to tablespoons = 6:x

Using proportion

Ratio of teaspoons to tablespoons :: Ratio of teaspoons to tablespoons

$3:1::6:x$

Product of mean = Product of extreme

$6*1=3*x\\6=3x\\3x=6$

Dividing both sides by 3

$\frac{3x}{3}=\frac{6}{3}\\x=2$

Debnil have 2 tablespoons to salt.

Keywords: ratio, proportion

Learn more about proportion at:

#LearnwithBrainly

5 0

3 years ago

Estimate. what is 0.4% of 520

Snezhnost [94]

0.4% of 510 is 2.04
so answer is 2.04

7 0

3 years ago

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A projectile is fired with initial speedv -100 feet per second from a height of h 0 feet atan angle of θ-7/6 above the horizonta

denpristay [2]

Answer:

Maximum altitude: 497.96 ft

Horizontal range: 1007.37 ft

Speed at impact: 165.21 ft/s

Step-by-step explanation:

angle(α) = atan (7/6) = 49.4°

Maximum altitude is given by the formula:

$h=\frac{V_0^2sin^2\alpha }{2g}$

$h=\frac{100^2 sin^2(49.4)}{2*9.81} =\frac{9770}{19.62}=497.96 ft/s$

Horizontal range is given by the formula:

$X=\frac{V_0^2sin(2\alpha)}{g}$

$X=\frac{100^2sin(2*49.4)}{*9.81}=1007.37 ft$

Speed at impact is given by the formula:

$V_f=\sqrt{V_x^2 + Vy^2}$

where:

$V_x= V_0cos(\alpha )= 100cos(49.4)=65.07 ft/s$

$V_y=V_0sin(\alpha ) + gt=100sin(49.4)+9.81(t)$

$t=\frac{V_0sin(\alpha) }{g}=\frac{100sin(49.4)}{9.81}=7.74s$

So;

$V_y= 100sin(49.4)+(9.81)(7.74)= 151.86 ft/s$

$Vf=\sqrt{V_x^2 + V_y^2} =\sqrt{65.07^2+151.86^2}=165.21 ft/s$

3 0

3 years ago

The weights of steers in a herd are distributed normally. The standard deviation is 200lbs and the mean steer weight is 1000 lbs

ElenaW [278]

Answer:

0.9466 = 94.66% probability that the weight of a randomly selected steer is between 639 and 1420lbs.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 1000, \sigma = 200$