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3 years ago

If 3 times a certain number is increased by 4 the result is 28. What is the number?

1 answer:

8 0

3x+4=28 because 3 times an unknown number was mentioned first and mentioned together so they will be together, increased by 4 is +4 and comes after, the result of is the same as equals so you put the equals sign and whatever number they gave after.

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Repeated-measures experiments measure the same set of research participants two or more times, while matched-subjects experiment

levacccp [35]

Answer:

c. The researcher must compute an estimated standard error for the mean difference score to compute a t statistic.

Step-by-step explanation:

As already defined that repeated-measures experiments measure the same set of research participants two or more times, while matched-subjects experiments study participants who are matched on one or more characteristics.

Both repeated-measures experiment and a matched-subjects experiment when used to compare two treatment conditions use the same t statistic. Therefore, researcher must compute an estimated standard error for the mean difference score to compute a t statistic.

8 0

3 years ago

A car and a truck are moving at the same speed. The car drives 2 hours. The truck drives 2.5 hours and goes 20 miles farther tha

Reptile [31]

Answer: 40 miles an hour

Step-by-step explanation:

It goes .5 more than the car so

if .5 = 20

.5 x 2 = 1

1 = 40

So 40 miles an hour

5 0

2 years ago

A ball is launched out of a cannon that is 24 feet off the ground. The height of the ball after "t" seconds is represented by

Olegator [25]

Given:

The height of ball is represented by the below function:

$h(t)=-16t^2+20t+24$

To find:

The number of seconds it will take to reach the ground.

Solution:

We have,

$h(t)=-16t^2+20t+24$

At ground level, the height of ball is 0, i.e., $h(t)=0$ .

$-16t^2+20t+24=0$

Taking out greatest common factor.

$-4(4t^2-5t-6)=0$

$4t^2-5t-6=0$

Splitting the middle term, we get

$4t^2-8t+3t-6=0$

$4t(t-2)+3(t-2)=0$

$(t-2)(4t+3)=0$

Using zero product property, we get

$(t-2)=0$ and $(4t+3)=0$

$t=2$ and $t=-\dfrac{3}{4}$

Time cannot be negative, so $t=2$ .

Therefore, the ball will reach the ground after 2 seconds.

7 0

3 years ago

3(2x+1)=21 <br> Solve this multi-step equation using the distributive property

Tasya [4]

3 (2x + 1) = 21
6x + 3= 21
-3 -3
6x = 18

Divide each side by 6, and x equals 3.

3 (2(3) + 1) = 21
3 (6 + 1) = 21
18 + 3 = 21

Hope this helps! Can I please have brainliest so I can level up? Thank you!

7 0

2 years ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

wlad13 [49]

Answer:

$\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

$f(x)=\frac{u(x)}{v(x)}\\$ , the derivative is express as

$\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }$

from $y=lnx/x^{2}$

we assign u(x)=lnx and v(x)=x^2

and the derivatives

$\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\$ .

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e $y=lnx\\\frac{dy}{dx}=\frac{1}{x}$

If we substitute values into the quotient expression we arrive at

$\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

8 0

3 years ago