The time series graph gives some information about the number of
umbrellas sold in a shop in the first six months of 2015.
The sales target for the first
100
six months of 2015 was to
sell a mean of 65 umbrellas
per month
80
Did the shop meet this target?
Show how you get your answer.
Number of umbrellas sold,
60
40
20
Jan
Feb
May
Jun
Mar Apr
Months

Answer:

It is an acute angle due to the angle formed at the vertex being less than 90 degrees

Answer:

acute triangle

Step-by-step explanation: sorry no step by step explanation i am in a rush anyway have a great day bye!!! :D please give brainliest

Answer:

$20 for the pants $35 in total

Step-by-step explanation:

Answer: Soup is $1.75

Step-by-step explanation:

Salad is $2.50

Sandwich is $3

Soup is $1.75

Answer:

Step-by-step explanation:

Answer: Soup is $1.75

Step-by-step explanation:

Salad is $2.50

Sandwich is $3

Soup is $1.75

Answer:

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years

Step-by-step explanation:

Principal(p)=$13,000

Rate(r)=3.0%

Period(n)=12 months

Time(t)=10 years

A=p(1+r/n)^nt

=13,000(1+0.03/12)^12*10

=13,000(1+0.0025)^120

=13,000(1.0025)^120

=13,000(1.3494)

=17,542.2

A=$17,542.2

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years

Answer:

[tex]g(x) = 8\cdot (x-3)^{2}-5[/tex]

Step-by-step explanation:

Given that parent function represents a parabola, the standard form with a vertex at (h,k) is now described:

[tex]y-k = C\cdot (x-h)^{2}[/tex]

[tex]y = C \cdot (x-h)^{2} + k[/tex]

Where:

[tex]x[/tex], [tex]y[/tex] - Independent and dependent variables, dimensionless.

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical component of the vertex, dimensionless.

[tex]C[/tex] - Vertex factor, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, there is an absolute maximum).

After reading the statement of the problem, the following conclusion are found:

1) New function must have an absolute minimum: [tex]C > 0[/tex]

2) Transformation to the right: [tex]h > 0[/tex].

3) Transformation downwards: [tex]k < 0[/tex]

Hence, the right choice must be [tex]g(x) = 8\cdot (x-3)^{2}-5[/tex].

Answer:

Choice D

Step-by-step explanation:

Took the test

Answer:

D) HL

Step-by-step explanation:

ΔGHJ  ≅ ΔGKJ by HL Congruence rule.

According to the hypotenuse-leg (HL) theorem, a right triangle is congruent if each of its hypotenuse and legs are congruent with their corresponding hypotenuse and legs in another right triangle.

Given:

In ΔGHJ  and  ΔGKJ

<H = <K= 90 degree

GJ= GJ {common}

GH= GK= 8 units.

Thus, ΔGHJ  ≅ ΔGKJ by HL Congruence rule.

Learn more about Congruence rule here:

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Answer:

4x

Step-by-step explanation:

8x^2 = 2*2*2 *x*x

4x = 2*2 *x

The greatest common factor is 2*2*x = 4x

Answer:

A

Step-by-step explanation:

8x² - 4x

Factor out the greatest common factor.

4x(2x) - 4x(1)

4x(2x - 1)

The greatest common factor of the polynomial is 4x.

Answer:

The answer is

Step-by-step explanation:

To find side b we use cosine

cos ∅ = adjacent / hypotenuse

From the question

side c is the hypotenuse

side c = 48 feet

side b is the adjacent

∅ = 35°

We have

cos 35 = b/c

cos 35 = b / 48

b = 48 cos 35

b = 39.319

b = 39.32 feet to 2 decimal places

Hope this helps you

Answer:

b ≈ 39.32 ft

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos35° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{c}[/tex] = [tex]\frac{b}{48}[/tex] ( multiply both sides by 48 )

48 × cos35° = b, thus

b ≈ 39.32 ft ( to 2 dec. places )

Answer:

A. -0.91

Step-by-step explanation:

Correlation coefficient is represented by values from -1 to 1. The closer the value is to -1 or 1, the stronger the correlation coefficient, which indicates that the data points being plotted on a scatter plot are clustered more closely along the best line of fit.

Correlation could be positive or negative.

If negative, it means, as one variable increases, the other variable decreases also. But, if positive, it means as one variable increases, the other variable increases also, or as one variable decreases, the other decreases also. Both change in the same direction.

A correlation coefficient that has a value closer to -1 shows a strong negative correlation. Meaning, the data points are clustered closely along the line slope on the scatter plot.

Therefore, r-value that is the strongest among the given options in the question is -0.91.

The answer is A. -0.91.

Answer:

(A) 1

Step-by-step explanation:

We know that the formula is x = (m/m+n) (x2-x1) + x1.

But the trick to the question which is why everyone is getting it wrong is because it asks for F to D not D to F.

The reason everyone else was getting 4 was because they were using this.

They solved the equation x = (8/8+5) (9-[-4]) -4 where it was D to F. This equation does turn out to be 4 but it is incorrect.

However, the correct equation (because it is supposed to be F to D) is

x = (8/8+5) (-4 -9) +9 which is in fact equal to 1.

I also just took the quiz and got 100%.

PRESS THAT THANKS BUTTON!!!

Answer:

C. 46 degrees

Step-by-step explanation:

In a rotation all angles and side lengths are preserved so the angle measure will be the same in both the image and pre-image.

Answer:

C. 46°

Step-by-step explanation:

When you rotate a shape, it's angles and size do not change. The only things that change are its orientation and location.

Answer:

3x²(x - 2)(x + 5)

Step-by-step explanation:

Step 1: Factor GCF

3x²(x² + 3x - 10)

Step 2: Factor Quadratic

3x²(x - 2)(x + 5)

Answer:

3x^2(x - 2)(x + 5).

Step-by-step explanation:

3x^4 = 3 * x * x * x * x

9x^3 = 3 * 3 * x * x * x

-30x^2 = -1 * 2 * 3 * 5 * x * x

All three terms have a 3 and two x's.

3 * x * x (x * x + 3 * x - 2 * 5) = 3x^2(x^2 + 3x - 10)

x^2 + 3x - 10 = x^2 + 5x - 2x - 10 = (x - 2)(x + 5)

So, 3x^2(x - 2)(x + 5)

Hope this helps!

Answer:

$26.

Step-by-step explanation:

His original salary was $20. It increased by 20%. In other words, the total salary he earns is now:

[tex]20+20(.3)=20(1.3)=26[/tex]

His new salary is $26.

Note: For the second step, I used the distributive property.

[tex]20(1)+20(.3)=20(1+.3)=20(1.3)[/tex]

Answer:

[tex]\sqrt{1728}[/tex]

Step-by-step explanation:

=> [tex](2*6)^{3/2}[/tex]

=> [tex](12)^{3/2}[/tex]

=> [tex]1728 ^{1/2}[/tex]

=> [tex]\sqrt{1728}[/tex]

Answer:

CPCTC

Step-by-step explanation:

You already proved that triangle BAD is congruent to CAD, this means that all of the corresponding angles and sides with be congruent (CPCTC). That means BD is congruent to CD. Hope this helps!

Answer:

D.

Step-by-step explanation:

Since this isn't a credit card, there are no interests or fees on a debit card, so A is incorrect. B is also incorrect. You only need identification when you are withdrawing or depositing at a bank, but purchases made in stores or online do not need your identification. You also don't need to record transactions in your checkbook (but it is recommend to keep track of purchases). Modern day technology already records transaction history and all you need to do is access it online.

D is correct because if someone steals your PIN for your debit card, they could go to stores and use that money. You can dispute charges and report to the bank if that happens.

Answer:

Step-by-step explanation:

vertex of g(x) is (0, 0), so:

[tex]g(x)=a(x-0)^2+0\\\\g(x)=ax^2 \qquad and\qquad (2,\,1)\in g(x)\\\\1=a\cdot2^2\\1=4a\\a=\frac14\\\\g(x)=\frac14x^2=(\frac12x)^2[/tex]

Answer:

The equation that describes the profit the store makes in a day that X units of yo-yo is sold is  P= X × $8.00 - $50.00

Step-by-step explanation:

The information given are;

The price of each yo-yo = $8.00

The only available cost is the store clerk fee cost per day = $50.00

Let us call the number of yo-yo's sold per day as X

Therefore, the amount sold per day = X × $8.00

The company's profit, P = Total sales - Total cost

∴ P= X × $8.00 - $50.00

Therefore, the equation that describes the profit the store makes in a day that X units of yo-yo is sold = P= X × $8.00 - $50.00.

Answer:

see below

Step-by-step explanation:

4! = 4*3*2*1 = 24

10 C3 = 10 CHOOSE 3 =10! /(3! (10 - 3)!) = 10! / 3! * 7! = 10*9*8 / 3*2*1 = 120

7P3 = permutation = 7! / (7-3)! = 7! /4! = 7*6*5 = 210

Answer:

x = -1/2, 3/4

Step-by-step explanation:

Step 1: Factor

(2x + 1)(4x - 3) = 0

Step 2: Find roots

2x + 1 = 0

2x = -1

x = -1/2

4x - 3 = 0

4x = 3

x = 3/4

Answer:

the prime factor of 841 is 29

Step-by-step explanation:

841 divided by 29 gives back 29 without any remainder

Answer:

(might have to round) 1.168224299 euros (I guess round to 1.17)

Step-by-step explanation:

Basically what I did was I made both of the quantities equal to one dollar so £0.8 is a dollar and 100/107 euros is a dollar.

They were both on the same basis so i multiplied by 1.25 to get £1 = 1.168224299 euros

Answer:

All negative numbers

Step-by-step explanation:

They are not whole numbers

Answer:

0

Step-by-step explanation:

Since negative numbers are not considered whole numbers, they are not included here. All natural numbers are whole numbers but not all whole numbers are natural numbers. 0 is a whole number but it doesn't count as a natural number which makes the answer 0

Answer: 70 hours

Step-by-step explanation:

First do 105/3(35)  Then multiply 35*2(70)

Answer:

Monique made an error when writing the factored expression.

Step-by-step explanation:

The factorisation of the expression 4x+16xy is 4x(1+4y).

The given expression is 4x+16xy.

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

Now, 4x=2×2×x and 16xy=2×2×2×2×x×y

so, the GCF of terms 4x.

Now, 4x(4x/4x+16xy/4x)=4x(1+4y)

Therefore, the factorisation of the expression 4x+16xy is 4x(1+4y).

To learn more about the factorisation visit:

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Answer:

y = 7

z = 1

Step-by-step explanation:

If the triangles are congruent

AB = QR

y+ 34 = 41

Subtract 34 from each side

y = 41-34

y = 7

and QP = BC

38 = z+37

Subtract 37 from each side

38-37 = z

1 =z

Answer:

y = 7

z = 1

Step-by-step explanation:

The triangles are congruent, the length of the sides are equal.

y + 34 = 41

y = 41 - 34

y = 7

z + 37 = 38

z = 38 - 37

z = 1

Answer:

8/9

Step-by-step explanation:

Order of operations: Parentheses first.

(30+6)=36,

Then subtract 32

36-32 = 4

Left to right, so don't divide by 18. Instead, divide by 9.

4/9 = 4/9

4/9 times 2/1 = 8/9

Answer:

6

Step-by-step explanation:

i took the test

Answer:

y = 0.5x + 2

Step-by-step explanation:

the y-intercept is 2, as shown in the graph

the slope is 0.5. this is because while the x-value goes up by 2, the y-value goes up by one (from 0, 2 to 2, 3).

using the slope formula of rise / run, you get 1/2, which is equal to 0.5

Answer:

Choice A: -36 + (-8)

Step-by-step explanation:

We want to find the equivalent expression to -36 - 8

The correct option is Choice A.

Choice A is -36 + (-8)

The reason is that the product of the signs + and - is -, i.e.

+ * - = -

Hence, + (-8) is the same thing as -8 and Choice A becomes -36 - 8