Ken makes $400 a week before a 5% raise, and then another 6% raise. What is his weekly pay now? Can someone please help me with this

3rd option is correct

13 × 2 + 13 × 9

Answer:

-7

Step-by-step explanation:

Given

[tex]\begin{array}{ccc}x & {y} & {First\ difference} & {-2} & {34} & {}&{-1} & {27} & {} &{0} & {20} & {} & {1} & {13} & {} & {2} & {6} &{} \ \end{array}[/tex]

Required

The first difference

To do this, we simply calculate the difference between the consecutive y-values.

i.e.

[tex]d = y_{n+1} - y_n[/tex]

So, we have:

[tex]d = y_2 - y_1 = 27 - 34 = -7[/tex]

[tex]d = y_3 - y_2 = 20 - 27 = -7[/tex]

[tex]d = y_4 - y_3 = 13 - 20 = -7[/tex]

[tex]d = y_5 - y_4 = 6-13 = -7[/tex]

Hence, the first differences are -7 (all through)

An ellipse is a plane curve that surrounds two focus points and has a constant sum of the two distances to the focal points at all places on the curve. In the graph, the A represents the minor axis of the ellipse.

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with major ellipse parallel to x-axis, then the equation of that ellipse would be:

[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]

Coordinates of its foci would be: (h±c, k) where c² = a² - b²

If its major axis is parallel to y-axis, then,

coordinates of its foci would be:  (h, k±c) where c² = a² - b² and its equation would be:

[tex]\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1[/tex]

An ellipse is a plane curve that surrounds two focus points and has a constant sum of the two distances to the focal points at all places on the curve. Since an ellipse has two diameter, the major and the minor diameter. Therefore, in the graph, the A represents the minor axis of the ellipse.

Learn more about Ellipse here:

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Answer:

B.) x^12

Step-by-step explanation:

You don't multiply the exponents when multiplying x^7 × x^5, you add them.

If we add the exponents, we get x^12.

Hope this helps!

If there is something wrong, just let me know.

Answer:

[tex]-7x^2+x+9=-6x[/tex]

[tex]-7x^2+x+9+6x=-6x+6x[/tex]

[tex]-7x^2+7x+9=0[/tex]

[tex]quadratic\: formula[/tex]

[tex]x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\left(-7\right)\cdot \:9}}{2\left(-7\right)}[/tex]

[tex]\sqrt{-7^{2} -4(-7)\times9} =\sqrt{301}[/tex]

[tex]x_{1,\:2}=\frac{-7\pm \sqrt{301}}{2\left(-7\right)}[/tex]

[tex]\frac{-7+\sqrt{301}}{2\left(-7\right)}[/tex]

[tex]=\frac{-7+\sqrt{301}}{-2\cdot \:7}[/tex]

[tex]=\frac{-7+\sqrt{301}}{-14}[/tex]

[tex]\frac{-7-\sqrt{301}}{2\left(-7\right)}[/tex]

[tex]=\frac{-7-\sqrt{301}}{-2\cdot \:7}[/tex]

[tex]=\frac{-7-\sqrt{301}}{-14}[/tex]

[tex]answer=\frac{7+\sqrt{301}}{14}[/tex]

[tex]OAmalOHopeO[/tex]

Answer: (0, 0), (0, 1), (1, 2), (1, 3) does NOT represent a function

Step-by-step explanation:

to tell whether a set of ordered pairs are functions or not, all domains must have different ranges!

range: x-axis (0,0)

domain: y-axis (0,0)

pair 1:

all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs

pair 2:

all the ranges - 0, 0, 1, 1 - are NOT all different, which means it is NOT a set of ordered pairs

pair 3:

all the ranges - 1, 2, 3, 4 - are different, which means it IS a set of ordered pairs

pair 4:

all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs

let me know if you have any more questions or if i made any mistakes. hope this helped, and good luck! ˶ˆ꒳ˆ˵

Answer:

I don't know the answer to this question

Answer:

statement 1 is the true answer

The correct statements about function h(x) are:

1) As x approaches ∞, h(x) approaches ∞

2) The y-intercept is (0, 5)

3) The domain of a function h(x) is [tex](-\infty, \infty)[/tex]

4) As x approaches -∞, h(x) approaches -∞

"A function of the form [tex]f(x)=a^x[/tex], where “x” is a variable and “a” is a constant."

"It is a set of all possible input values for which a function is well defined."

"It is a set of all possible output values."

"It is a point at which the graph of the function intersects the X-axis or Y-axis."

For given question,

A function [tex]f(x)=x^{\frac{1}{3} }[/tex] is transformed to function [tex]h(x)=(2x)^{\frac{1}{3} }+5[/tex]

The domain of function h(x) is all real values.

To find the y-intercept, substitute x = 0

[tex]\Rightarrow h(0)=(2\times 0)^{\frac{1}{3} }+5\\\\ \Rightarrow h(0)=5[/tex]

So, the y-intercept of function h(x) is (0, 5)

To find the x-intercept, substitute y = 0 i.e., h(x) = 0

[tex]\Rightarrow 0=(2x)^{\frac{1}{3} }+5\\\\\Rightarrow (2x)^{\frac{1}{3} }=-5\\\\\Rightarrow 2x=-125\\\\\Rightarrow x=-62.5[/tex]

This means, the x-intercept of h(x) is (-62.5, 0)

From the graph of the function h(x), we can observe that as x approaches -∞ then h(x) approaches -∞ and as x approaches ∞ then h(x) approaches ∞

Therefore, the correct statements about function h(x) are:

1) As x approaches ∞, h(x) approaches ∞

2) The y-intercept is (0, 5)

3) The domain of a function h(x) is [tex](-\infty, \infty)[/tex]

4) As x approaches -∞, h(x) approaches -∞

Learn more about the function here:

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Answer:

V =48 cm^3

Step-by-step explanation:

The volume of a prism is given by

V = l*w*h

V = 3*4*4

V =48 cm^3

V =48 cm^3

Step-by-step explanation:

The volume of a prism is given by

V = l*w*h

V = 3*4*4

V =48 cm^3

Answer:

2663.0 cm³ (3 s.f.)

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{3}\pi {r}^{3} }[/tex]

Radius= diameter ÷2

Radius of sphere

= 17.2 ÷2

= 8.6 cm

Volume of sphere

[tex] = \frac{4}{3} (3.14)(8.6)^{3} [/tex]

= 2663.0 cm³ (3 s.f.)

Answer:

$0.25

Step-by-step explanation:

Let's represent the comics by assigning it the letter C.

20C = $5.00

C = $5.00/20

= $0.25

We can confirm this by using the example where he uses 30 comics.

30C = $7.50

C = $7.50/30

= $0.25.

Therefore each comic costs $0.25

Answer:

Eric   80

Step-by-step explanation:

Take 4+3 = 7

140 /7 = 20

There is 20 in each block

Eric gets 4 of the blocks so 4*20 = 80

Shiloh gets 3 of the blocks 3*20 = 60

Answer:

80

Step-by-step explanation:

4 : 3

4x + 3x = 140

7x = 140

x =20

4*20 = eric's amount

= 80

Answer:

B. 2, 4, 5, 7

Step-by-step explanation:

6x<48

Divide by 6 on both sides:

x < 8 (excluding 8)

You can test values greater than 8, and if it yields false, then try different numbers.

Hope this helps!

Answer:

x = 14

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

48 ^2 + x^2 = 50^2

2304+x^2=2500

x^2 = 2500-2304

x^2 =196

Taking the square root of each side

sqrt(x^2) = sqrt(196)

x = 14

Answer:

14

Step-by-step explanation:

Use A^2+B^2=C^2

A=48

C=50

So B=sqrt(C^2-A^2)

B=sqrt(50^2-48^2)

B=sqrt(2500-2304)

B=sqrt(196)

B=14

4.5

= 4.5/1

= 4.5/1.0

= 45/10 [Shifting the decimal to right]

= 9/2 [Reducing to the simplest form]

So, the answer is 9/2.

Answer:

There is overwhelming evidence that human activities, especially burning fossil fuels, are leading to increased levels of carbon dioxide and other greenhouse gases in the atmosphere, which in turn amplify the natural greenhouse effect, causing the temperature of the Earth's atmosphere, ocean, and land surface to ...

Answer:

Step-by-step explanation:

y = x^2 + 4

x = 11  Put this value in wherever you see an x on the right.

y = 11^2 + 4

11^2 = 11 * 11 = 121

y = 121 + 4

y = 125

Answer:

Value of given expression x is -4

Step-by-step explanation:

Given equation in question;

4 + 2|3x + 4| = -4

Find:

Value of given expression

Computation:

4 + 2|3x + 4| = -4

Using BODMAS rule;

⇒ 4 + 2|3x + 4| = -4

⇒ 2|3x + 4| = - 4 - 4

⇒ 2|3x + 4| = - 8

⇒ |3x + 4| = - 8 / 2

⇒ |3x + 4| = - 4

⇒ 3x + 4 = - 8

⇒ 3x = -8 - 4

⇒ 3x = -12

⇒ x = -12 / 3

⇒ x = -4

Value of given expression x is -4

Answer:

$7200 at 10%

$4800 at 15%

Step-by-step explanation:

Answer:

x=5, y=3

Step-by-step explanation:

Answer:

$40

Step-by-step explanation:

Let

Original price = x

Selling price = $10

Discount = 75%

Selling price = original price - (Discount * original price)

10 = x - 75% of x

10 = x - 0.75 * x

10 = x - 0.75x

10 = 0.25x

x = 10/0.25

x = 40

Original price = x = $40

Answer:

Yes it can

Step-by-step explanation:

To check wether it's a right angle triangle we need to apply the Pythagoras theorem

h^2= a^2 +b^2

Hypotenuse is always the longest side so

5^2 = 3^2 + 4^2

This is correct, so the triangle is a right angle triangle

Answer from Gauthmath

Answer:

045

Step-by-step explanation:

North is equal to 360 or 0 degrees. East is equal to 90 degrees because that is 1/4 of 360.

Thus, northeast is 45 degrees. This image may help.

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

[tex]R =(5,5)[/tex]

[tex]S= (2,1)[/tex]

[tex]T = (1,3)[/tex]

LMN

[tex]L = (0,-1)[/tex]

[tex]M= (2,-4)[/tex]

[tex]N= (-2,-3)[/tex]

Required

Compare both areas

The area of triangle is:

[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|[/tex]

For RST, we have:

[tex]Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|[/tex]

[tex]Area = \frac{1}{2}|-10|[/tex]

Remove absolute signs

[tex]Area = \frac{1}{2}*10[/tex]

[tex]Area = 10[/tex]

For LMN, we have:

[tex]Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|[/tex]

[tex]Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|[/tex]

[tex]Area = \frac{1}{2}|-14|[/tex]

Remove absolute signs

[tex]Area = \frac{1}{2}*14[/tex]

[tex]Area = 7[/tex]

By comparing both areas, we can conclude that LMN has a larger area

First, we'll set up two equations. One for the amount of each coin and another for the value of the coins.

N will represent nickels

D will represent dimes

N + D = 30

---The problem tells us that there are 30 total coins

0.05N + 0.10D = 2.95

---Nickels are worth 5 cents and dimes are worth 10 cents, and the total value of the coins is 2.95

Now that we have our equations, we need to solve for one of the variables in the first equation. I will solve for N.

N + D = 30

N = 30 - D

Then, we take that equation and substitute our new value for N into the second equation (value) and solve for D.

0.05(30 - D) + 0.10D = 2.95

1.5 - 0.05D + 0.10D = 2.95

1.5 + 0.05D = 2.95

0.05D = 1.45

D = 29

Now that we know how many dimes there are, we can plug that value into our equation for N and solve for N.

N = 30 - D

N = 30 - 29

N = 1

Therefore, there are 29 dimes and 1 nickel.

Hope this helps!

Answer:

[tex]b\geq 9[/tex]

In other words, the base must be at least 9 feet long.

Step-by-step explanation:

The schools wants the height of the triangle to be eight feet, and the area of the logo to be at least 36 square feet.

Recall that the area of a triangle is given by:

[tex]\displaystyle A = \frac{1}{2}bh[/tex]

Since we want to area to be at least 36 square feet:

[tex]\displaystyle \frac{1}{2}bh \geq 36[/tex]

We are given that the height is eight feet. Substitute:

[tex]\displaystyle \frac{1}{2}(8)b\geq 36[/tex]

Simplify:

[tex]4b\geq 36[/tex]

Divide both sides by four. Hence, our inequality is:

[tex]b\geq 9[/tex]

In words, this means that the base must be at least 9 feet long.

Answer: LM = 23

Step-by-step explanation:

Solve the algebraic equations:

Line KN: (solve for x)

[tex]14x-3=25[/tex]

move the 3 to the other side with addition

[tex]14x=28[/tex]

divide by 14 to get x by itself

[tex]x=2[/tex]

Now that we have x we can find line KL:

[tex]9(2)+5\\18+5\\23[/tex]

So we now know that KL is 23 units. And we know that KL = LM

Answer:

The bases of an isosceles trapezoid are congruent is false.

Step-by-step explanation:

Let's analyse each option.

In a Rhombus, the diagonals are perpendicular at the point of intersection and bisect each other is true.

In isosceles trapezoid, the sides are congruent but not the bases. So, this incorrect!

The rectangle is an Equi-angular because all the angles are equal. So, this is true.

The base angles are congruent in isosceles trapezoid. So, this is true too.

Answer:

HT = 17 cm

<T = 58°

<H = 32°

Step-by-step explanation:

✔️Find HT:

Since it's a right triangle, we would apply the Pythagorean Theorem given as c² = a² + b²

Where,

a = HW = 15 cm

b = WT = 8 cm

c = HT

Plug in the values:

HT² = 15² + 8²

HT² = 289

HT = √289

HT = 17 cm

✔️Find <T by applying trigonometric ratio formula:

Recall: SOH CAH TOA

Reference angle (θ) = <T

HW = 15 cm = Opposite side length

WT = 8 cm = Adjacent side length

Apply CAH:

Cos θ = Adj/Hyp

Substitute

Cos T = 8/15

T = [tex] cos^{-1}(0.5333) [/tex]

T ≈ 58°

✔️Find <H:

Sun of interior angles of a triangle = 180°

Therefore,

m<H + m<T + m<W = 180°

Substitute

m<H + 58° + 90° = 180°

m<H + 148° = 180°

m<H = 180° - 148°

m<H = 32°