Whats the solution of a + 5

What is the area of a circle with a diameter of 37 inches?

Ostrovityanka [42]

A = pi (r)^2, so first you have to find the radius. The radius = 18.5 since its diameter/2. So if you plug it in, its A = pi (18.5)^2 and your answer would be A = 1075.21. Hope I helped :))

4 0

4 years ago

Read 2 more answers

Can you guys help me with this math questions

dimulka [17.4K]

Answer:

2) $40 per shirt

3) 80/9 m = 8.9 m (nearest tenth)

Step-by-step explanation:

The first question has been answered here: brainly.com/question/27846862

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Question 2

Given information:

Previous sales = 300 shirts at $20 each
For every $1 increase in price, the number of sales diminishes by 5

Let $x$ = number of $1 increases

Let $y$ = total revenue (in dollars)

From the given information:

Price change of shirt: $(20 + x)$

Number of sales change: $(300 - 5x)$

Therefore, we can create a quadratic equation with the given information:

$\implies y = (20+x)(300-5x)$

As we need to find the maximum amount of revenue, we need to find the vertex of $y$ . As the equation is already factored, the quickest way to do this is to the find the mid-point of the zeros (since a quadratic curve is symmetrical).

$\begin{aligned}y & =0\\\implies (20+x)(300-5x) & =0\\\implies (20+x) & =0 \implies x=-20\\\implies (300-5x) & = 0 \implies x=60\end{aligned}$

$\textsf{Midpoint}=\dfrac{-20+60}{2}=20$

Therefore, Sammy should have 20 $1 increases to maximize the revenue, so the new price will be:

$\implies \$20 + 20 \times \$1 = \$40\: \sf per\:shirt$

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Question 3

Given information:

Bridge is modeled as a parabola
Width of bridge = 30 m
Max height of bridge = 10 m high (in the middle)

As the bridge is modeled as a parabola, and we have been given the width and height, we can create a quadratic equation using the vertex form.

Vertex form: $y=a(x-h)^2+k$

where:

x is the horizontal distance of the bridge
y is the height of the bridge
(h, k) is the vertex
a is some constant

Middle of the bridge = 30 m ÷ 2 = 15 m

Max height of the bridge = 10 m

Therefore, the vertex of the parabola is (15, 10)

$\implies y=a(x-15)^2+10$

We know that when $x = 0, y = 0$ . Therefore, substitute these values into the equation and solve for a:

$\implies 0=a(0-15)^2+10$

$\implies 0=225a+10$

$\implies 225a=-10$

$\implies a=-\dfrac{10}{225}$

$\implies a=-\dfrac{2}{45}$

Therefore, the equation of the parabola is:

$\implies y=-\dfrac{2}{45}(x-15)^2+10 \quad \quad \textsf{for }0\leq x\leq 30$

The horizontal distance at 5 m right of the middle is:

$\implies \dfrac{30}{2}+5=20\:\sf m$

Therefore, to find the height at this point, input $x=20$ into the equation and solve for y:

$\implies -\dfrac{2}{45}(20-15)^2+10=\dfrac{80}{9}\:\sf m$

Therefore, the height of the bridge at 5 m to the right of the middle is:

$\dfrac{80}{9}\:=8.9\: \sf m\:(nearest\:tenth)$

3 0

2 years ago

Factors of 54 and 36 all factors correct = brainliest answer

Lilit [14]

9514 1404 393

Answer:

54 = 2 × 3³

36 = 2² × 3²

Step-by-step explanation:

The term "factors" can mean different things in this context. Usually, it means "prime factors." Exponents are used to indicate the number of times a factor is repeated. The prime factors of these numbers are ...

54 = 2 × 3³

36 = 2² × 3²

__

Sometimes, we use the word "factors" to mean "positive integer divisors." The number of divisors is the product of the exponents of the prime factors, each increased by 1. That is, 54 has (2·4) = 8 divisors; 36 has (3·3) = 9 divisors. The odd number of divisors is one indication that the number is a perfect square.

The divisors of these numbers are ...

54 is divisible by 1, 2, 3, 6, 9, 18, 27, 54

36 is divisible by 1, 2, 3, 4, 6, 9, 12, 18, 36

5 0

4 years ago

A department store has daily mean sales of $28,372.72. The standard deviation of sales is $2000. On Tuesday, the store sold

DiKsa [7]

Answer:

Tuesday z-score was 3.26.

Tuesday was a significantly good day.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

A score is said to be significantly high if it has a z-score higher than 1.64, that is, it is at least in the 95th percentile.

In this problem, we have that:

$\mu = 28372.72, \sigma = 2000$

On Tuesday, the store sold $34,885.21 worth of goods. Find Tuesday's z-score.

This is Z when $X = 34885.21$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{34885.21 - 28372.72}{2000}$

$Z = 3.26$

Tuesday z-score was 3.26.

Was Tuesday a significantly good day?

A z-score of 3.26 has a pvalue of 0.9994. So only 1-0.9994 = 0.0006 = 0.06% of the day are better than Tuesday.

So yes, Tuesday was a significantly good day.

8 0

3 years ago

Help me with number 3

love history [14]

Well on front, you see 2 x 4 cereal boxes and it has depth of 3 cereal boxes.

So that would be 2×4×3 = 24 cereal boxes in total.

Since each cereal box is 175 in³, that would be 24 × 175 in³ = 4200 in³

So the answer is D.

8 0

3 years ago

Whats the solution of a + 5 > -7?