the area of the triangle is 2/5 square foot the height is 6/5 ft. what is the length in feet of the base of the triangle?

Answers

Answer 1

Answer: $\bf \textit{area of a triangle}\n\nA=\cfrac{1}{2}bh~~\begin{cases}A=(2)/(5)\n\nh=(6)/(5)\end{cases}\implies \cfrac{2}{5}=\cfrac{1}{2}\left( b\cdot \cfrac{6}{5} \right)\implies \cfrac{2}{5}=\cfrac{6b}{10}\n\n\n\cfrac{20}{5}=6b\implies \cfrac{20}{30}=b\implies \cfrac{2}{3}=b$

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Which of the following expressions has the greatest value when x=5? show how you arrived at your choice.2x^2+7

x^3-5/3

10x -2/ x-3

Answers

Answer:

2x^2+7

Step-by-step explanation:

Let x=5

2x^2+7

2 ( 5)^2 +7 = 2*25 +7 = 50+7 = 57

(x^3-5)/3

(5^3 -5)/3 = (125-5)/3 = 120/3 = 40

(10x -2)/ (x-3)

(10*5-2)/(5-3) = (50-2)/(2) = 48/2 = 24

A random sample of size 13 is selected from men with hypertension. For each person, systolic blood pressure was measured right before and one hour after taking the medicine. The mean reduction of the blood pressures was 10.1 and the standard deviation of the difference was 11.2. Test if there is sufficient evidence to conclude that the hypertension medicine lowered blood pressure. What is the value of the test statistic (round off to second decimal place)

Answers

Answer:

Yes, hypertension drugs lowers blood pressure.

Step-by-step explanation:

Claim: The hypertension medicine lowered blood pressure.

The null and alternative hypothesis is

H0:\mu_{d}\geq 0

H1:\mu_{d}< 0

Level of significance = 0.05

Sample size = n = 13

Sample mean of difference = \bar{d} = 10.1

Sample standard deviation of difference = s_{d} = 11.2

Test statistic is

t=\frac{\bar{d}}{s_{d}/\sqrt{n}}

t = ((10.1) / (11.2 /squre root of 13)) = 3.251

Degrees of freedom = n - 1 = 13 - 1 = 12

Critical value =2.179( Using t table)

Test statistic | t | > critical value we reject null hypothesis.

In Conclusion: The hypertension medicine lowered blood pressure

What is the slope of the line described by the equation below?y= 10x + 2
A. -10
B. 10
C. 2
O D. -2

Answers

Answer:

B because when you compare y= mx+ c where M is the slope or gradient

What’s the answer and how did you get to it

Answers

Answer: Perpendicular

Step-by-step explanation:

when you have parallel lines, you have the same slope. With perpendicular lines, its opposite slopes. 1/3 flipped is 3/1 or 3. Then you change the sign. Therefore, the perpendicular slope of 1/3 is -3.

Patricia, audrey, and laticia are in a nursery buying plants for their gardens. Patricia orders six magnolias and two camellias. Audrey orders four camellias and three azaleas. leticia orders three magnolias, two camellias, and four azaleas. If patricia, audrey, and leticia paid $168.00, $150.30, and $222.50 respectively, what are the individual costs of a magnolia, a camellia, and an azalea?

Answers

Answer:

The cost of each magnolia plant is $23.24, the cost of each camellia plant is $14.28, and the cost of each azalea plant is $31.05.

Step-by-step explanation:

I attached the explanation.

IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every year. write formula for student population and estimate student population in 2020

Answers

Answer:

Amount = Initial value × (1 + rate of interest)^years and 374

Step-by-step explanation:

The formula to determine the student population and the estimated student population is given below:

As we know that

Amount = Initial value × (1 + rate of interest)^years

= 284 × (1 + 0.04)^7

= 284 × 1.04^7

= 373.72

= 374

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