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2 years ago

There are 86 calories in 100 g of banana

1 answer:

Crank2 years ago

5 0

184.8 calories :)

the grams are both 100, meaning we can use percentages. banana: 70% of 86 (.7*86=?) is 60.2 calories. yogurt: 140% of 89 (1.4*89=?) is 124.6 calories. 60.2+124.6=184.8 calories

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Jonathan goes to the store and purchases 3 pencils for 0.28 each, and y number of erasers for 0.38 each. Write an expression tha

laiz [17]

Keywords

linear equation, variables

Step 1

Define the variables

Let

x-----> number of erasers

y-----> total cost

we know that

------> this is the linear equation that represent the situation

therefore

the answer is y = 0.84 + (0.38)x

5 0

3 years ago

Read 2 more answers

What is the sum of the geometric series 2^0 + 2^1 + 2^2 + 2^3 + 2^3 + 2^4 + … + 2^9?

mars1129 [50]

The nth term is
an=a1(r)^(n-1)
an=1(2)^(n-1)
a1=1
r=2

the sum of a geometric seequence is
$S_{n}=\frac{a_{1}(1-r^{n})}{1-r}$
a1=1
r=2
we want to find $S_{10}$ (since we minus 1, the highest exponet is 9 so add 1 to make it correct)

$S_{10}=\frac{1(1-2^{10})}{1-2}$
$S_{10}=\frac{(1-1024}{-1}$
$S_{10}=\frac{(-1023}{-1}$
$S_{10}=1023$

3 0

2 years ago

Read 2 more answers

The answer to this word problem usinf discriminant

solniwko [45]

$\bf h=-9.8t^2+45t+1.2\implies 64.5=-9.8t^2+45t+1.2
\\\\\\
0=-9.8t^2+45t-63.3\\\\
-------------------------------$

$\bf \qquad \qquad \qquad \textit{discriminant of a quadratic}
\\\\\\
0=\stackrel{\stackrel{a}{\downarrow }}{-9.8}t^2\stackrel{\stackrel{b}{\downarrow }}{+45}t\stackrel{\stackrel{c}{\downarrow }}{-63.3}
~~~~~~
\stackrel{discriminant}{b^2-4ac}=
\begin{cases}
0&\textit{one solution}\\
positive&\textit{two solutions}\\
negative&\textit{no solution}
\end{cases}
\\\\\\
(45)^2-4(-9.8)(-63.3)\implies -456.36$

the discriminant is a negative value, thus no solution for such quadratic, meaning if we use h=64.5 like we did, there's no "t" seconds at which point the ball hits the batting cage.

8 0

2 years ago

Complete the sentence

ryzh [129]

Answer: b, d

Step-by-step explanation:

Corresponding angles are formed when two parallel straight lines are cut by a transversal

$\angle b=62^{\circ}$

In the figure, $\angle d\ \text{and}\ 62^{\circ}$ are alternate angle

$\therefore \angle d=62^{\circ}$

3 0

2 years ago

I need help PLEASE!!!

Stella [2.4K]

9514 1404 393

Answer:

y = -4/3x +23/2

Step-by-step explanation:

The tangent of interest is perpendicular to the radius at the given point on the circle. To find the perpendicular, it helps to know the slope of the radius segment. To find that, we need the center of the circle.

The center of the circle can be found by completing the square for each variable.

(x^2 -2x) +(y^2 +4y) = 20

(x^2 -2x +1) +(y^2 +4y +4) = 20 +1 +4

(x -1)^2 +(y +2)^2 = 25

Comparing this equation to the standard form equation for a circle, we can find the center.

(x -h)^2 +(y -k)^2 = r^2 . . . . . . . circle of radius r centered at (h, k)

The center of circle P is (1, -2).

The slope m' of the line segment between (1, -2) and (5, 1) is given by ...

m' = (y2 -y1)/(x2 -x1)

m' = (1 -(-2))/(5 -1) = 3/4

The slope m of the perpendicular line is the opposite reciprocal of this, so is ...

m = -1/m' = -1/(3/4) = -4/3

The y-intercept of the desired line can be found from ...

b = y -mx . . . . . . . for m=-4/3 and (x, y) = (5, 1)

b = 1 -(-4/3)(5) = 23/3

Then the equation of tangent line AB is ...

y = mx +b

y = -4/3x +23/3

6 0

2 years ago