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2 years ago

Jake biked 24 miles in 4 hours. If he biked at a constant rate of speed, how far did he bike in 1 hour?

Mathematics

2 answers:

DochEvi [55]2 years ago

8 0

Answer:

24 divided by 4 is 6

Step-by-step explanation:

larisa [96]2 years ago

4 0

6 miles

24/4 = 6 so it would be 6 miles you have divide 24 by 6

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Find the zeros of y = x + 6x- 4 by completing the square.

dsp73

Answer:

$\large\boxed{x=-3\pm\sqrt{13}}$

Step-by-step explanation:

$(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\\\x^2+6x-4=0\qquad\text{add 4 to both sides}\\\\x^2+2(x)(3)=4\qquad\text{add}\ 3^2=9\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=4+9\\\\(x+3)^2=13\Rightarrow x+3=\pm\sqrt{13}\qquad\text{subtract 3 from both sides}\\\\x=-3\pm\sqrt{13}$

8 0

2 years ago

Someone help me pleaseeee

11111nata11111 [884]

Answer:

1/5

Step-by-step explanation:

formula is y = kx

k is the constant of proportionality

when x is 5 y is 1

when x is 10 y is 2

so 1 = k * 5

so k = 1/5

5 0

2 years ago

How to solve 9 * 4 - 8 / 2 *4

egoroff_w [7]

Answer: the answer is 20

Step-by-step explanation:

Use order of operations and divide 8 by 2 and you get 4. Then use the PEMDAS (parentheses,exponents,multiplacation,division,addition, subtraction) method. Go left to right. And solve. :) I hope this helps

8 0

2 years ago

Read 2 more answers

Question 2b only! Evaluate using the definition of the definite integral(that means using the limit of a Riemann sum

lara [203]

Answer:

Hello,

Step-by-step explanation:

We divide the interval [a b] in n equal parts.

$\Delta x=\dfrac{b-a}{n} \\\\x_i=a+\Delta x *i \ for\ i=1\ to\ n\\\\y_i=x_i^2=(a+\Delta x *i)^2=a^2+(\Delta x *i)^2+2*a*\Delta x *i\\\\\\Area\ of\ i^{th} \ rectangle=R(x_i)=\Delta x * y_i\\$

$\displaystyle \sum_{i=1}^{n} R(x_i)=\dfrac{b-a}{n}*\sum_{i=1}^{n}\ (a^2 +(\dfrac{b-a}{n})^2*i^2+2*a*\dfrac{b-a}{n}*i)\\$

$=(b-a)^2*a^2+(\dfrac{b-a}{n})^3*\dfrac{n(n+1)(2n+1)}{6} +2*a*(\dfrac{b-a}{n})^2*\dfrac{n (n+1)} {2} \\\\\displaystyle \int\limits^a_b {x^2} \, dx = \lim_{n \to \infty} \sum_{i=1}^{n} R(x_i)\\\\=(b-a)*a^2+\dfrac{(b-a)^3 }{3} +a(b-a)^2\\\\=a^2b-a^3+\dfrac{1}{3} (b^3-3ab^2+3a^2b-a^3)+a^3+ab^2-2a^2b\\\\=\dfrac{b^3}{3}-ab^2+ab^2+a^2b+a^2b-2a^2b-\dfrac{a^3}{3} \\\\\\\boxed{\int\limits^a_b {x^2} \, dx =\dfrac{b^3}{3} -\dfrac{a^3}{3}}\\$

4 0

2 years ago

When multiplying fractions what is the answer to -4/5x7/10

Marianna [84]

Answer:

-14/25

Step-by-step explanation:

-4/5 * 7/10

Multiply the numerators

-4*7 = -28

Multiply the denominators

5*10 = 50

numerator/ denominator

-28/50

Divide top and bottom by 2

-14/25

4 0

2 years ago

Jake biked 24 miles in 4 hours. If he biked at a constant rate of speed, how far did he bike in 1 hour?​

Jake biked 24 miles in 4 hours. If he biked at a constant rate of speed, how far did he bike in 1 hour?