Ask question

Ask question

All categories

3 years ago

6

The weight of a dolphin increased by 17% when it became pregnant. What is the approximate pregnant weight of the dolphin if it w

as 278 lbs. before it became pregnant? Round to the nearest tenth of a pound.

1 answer:

atroni [7]3 years ago

5 0

Answer:

230.74

Step-by-step explanation:

You might be interested in

Population Growth The population of a town of 5000

Nesterboy [21]

Answer:

a) $A=5000{(1.03)}^{t}$

b) 5464 inhabitants.

Step-by-step explanation:

The formula used for compound interest becomes very helpful in this case.

$A=P{(1+r)}^{t}\\\\When:\\A = Final Value\\P = Initial Value\\r = Rate of Change (Decimal)\\t = Time (Years)$

Knowing this, we can easily calculate the value for any year, counting from the original 5000.

From this formula, we can derive a specific one that will serve for any value of <em>t</em>.

a)

$A=5000{(1+0.03)}^{t}\\A=5000{(1.03)}^{t}$

b) Apply the formula:

$A=5000{(1.03)}^{3}\\A=5000(1.092727)\\A=5463.635=5464$

The town will have 5464 inhabitants.

5 0

3 years ago

How to solve this problem

nevsk [136]

Let C be the center of the circle. The measure of arc VSU is $2+114x$ , so the measure of the minor arc VU is $360-(2+114x)=358-114x$ . The central angle VCU also has measure $358-114x$ .

Triangle CUV is isosceles, so the angles CVU and CUV are congruent. The interior angles of any triangle are supplementary (they add to 180 degrees) so

$m\angle VCU+2m\angle CUV=180$

$\implies m\angle CUV=\dfrac{180-(358-114x)}2=57x-89$

UT is tangent to the circle, so CU is perpendicular to UT. Angles CUV and VUT are complementary, so

$(57x-89)+(31x+3)=90$

$\implies88x=176$

$\implies x=2$

So finally,

$m\widehat{VSU}=2+114\cdot2=230$

degrees.

6 0

3 years ago

I really need help I would appreciate it if someone could help me

sleet_krkn [62]

Answer:

a) The vertex of the graph is $(h,k) = (0, 31)$ , b) $a = -16$ , c) The equation of the parabola is $f(t) = -16\cdot t^{2}+31$ .

Step-by-step explanation:

a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.

The vertex of the graph is $(h,k) = (0, 31)$ .

b) If we know that $(h,k) = (0, 31)$ , $f(t) = a\cdot (t-h)^{2} + k$ and $(t,f(t)) = (1,15)$ , then the value of $a$ is:

$f(t) = a\cdot (t-h)^{2} + k$

$15 = a\cdot (1-0)^{2}+31$

$15 = a\cdot 1 + 31$

$a = 15-31$

$a = -16$

c) The equation of the parabola is $f(t) = -16\cdot t^{2}+31$ .

4 0

3 years ago

Can somebody plz help answer all these questions CORRECT thanksss!

Natali5045456 [20]

Answer:

37%, 93%, 58%, 21%, 54%, 13%, 34%, 90%, 80%, 52%, 35%

Step-by-step explanation:

37/100 = 37%, 93/100 = 93%, 58/100 = 58%, 21/100 = 21%, 54/100 = 54%, 13/100 = 13%, 17/50 = 34/100 = 34%, 9/10 = 90/100 = 90%, 4/5 = 80/100 = 80%, 13/25 = 52/100 = 52%, 7/20 = 35/100 = 35%

3 0

2 years ago

I clearly don't know how to do it if i did i wouldn't be asking for help.

kow [346]

Answer:

132 degrees

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers