April works as an emergency medical technician (EMT) and is a photographer. As an EMT she earns $19 per hour. Last week she worked t hours as an EMT and her friend paid her $100 for a photoshoot. Write an expression to represent the total amount April earned last week.

Answers

Answer 1

The expression that represents the total amount earned last week $100 + $19t.

What is the expression?

The expression is a function of the amount her friend paid for the photoshoot, the hours worked and the wages per hour.

Total pay = (amount earned per hour x total hours worked) + amount paid for photoshoot

($19 x t) + $100

$19t + $100

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Related Questions

In the following diagram, PQRS is a square of sides 21 cm. PTS and QTR are two semicircles touching each other at T.

Calculate the area, in cm², of the shaded region.
A 94.5 C 141.8 B 113.4 D 189.0 S​

Answers

Answer:

[tex]94.6cm^{2}[/tex]

Step-by-step explanation:

First we will find the area of Square PQRS.

Area of Square PQRS = Length x Width = 21 x 21

= [tex]441cm^{2}[/tex]

Next we will found the Area of Semicircles PS and QR.

Note: Area of Semicircle PS = Area of Semicircle QR

Area of Semicircle = [tex]\frac{1}{2} \pi r^{2}[/tex]

Total Area of Semicircles PS and QR combined = [tex]2(\frac{1}{2} \pi r^{2} )\\=\pi r^{2}[/tex]

We know that the diameter of PS = QR = 21 cm (due to the length of the square)

Radius = Half of Diameter = 0.5 x 21cm = 10.5cm

Total Area of Semicircles PS and QR = [tex]\pi (10.5)^{2} \\=110.25\pi cm^{2}[/tex]

Finally,

Area of Shaded Region = Area of Rectangle PQRS - Total Area of Semicircles PS and QR

= [tex]441 - 110.25\pi\\= 94.6cm^{2} (1dp)[/tex]

In this case , you can choose the nearest answer as there might be some rounding differences.

(2, -7) and (4, -13)

Answers

Answer:

-14 or (6,20)

Jamie has a restaurant bill of $70.70. About how much money should she leave for a 10% tip?





$7.00
$0.70
$1.00
$7.70

Answers

[70.70 x 10 ]/100 = 7.70
Answer is 7.70$
7.70 is the answerrrrrrrrr

Please answer with everything needed i appreciate everyones help:))

Answers

Answer:

[tex]a = (h)(2h - 5)[/tex]

Answer:

Area of the rectangle = 2h² - 5

Step-by-step explanation:

• base length l = 5 less than twice the height h

                        = 2h - 5

• height = h

Area of rectangle = base × height

                             ⇒ l × h

                             ⇒ (2h - 5)(h)

                              ⇒ 2h² - 5

Can someone help me with these 4 geometry questions? Pls it’s urgent, So ASAP!!!!

Answers

Question 4

1) [tex]\overline{BD}[/tex] bisects [tex]\angle ABC[/tex], [tex]\overline{EF} \perp \overline{AB}[/tex], and [tex]\overline{EG} \perp \overline{BC}[/tex] (given)

2) [tex]\angle FBE \cong \angle GBE[/tex] (an angle bisector splits an angle into two congruent parts)

3) [tex]\angle BFE[/tex] and [tex]\angle BGE[/tex] are right angles (perpendicular lines form right angles)

4) [tex]\triangle BFE[/tex] and [tex]\triangle BGE[/tex] are right triangles (a triangle with a right angle is a right triangle)

5) [tex]\overline{BE} \cong \overline{BE}[/tex] (reflexive property)

6) [tex]\triangle BFE \cong \triangle BGE[/tex] (HA)

Question 5

1) [tex]\angle AXO[/tex] and [tex]\angle BYO[/tex] are right angles, [tex]\angle A \cong \angle B[/tex], [tex]O[/tex] is the midpoint of [tex]\overline{AB}[/tex] (given)

2) [tex]\triangle AXO[/tex] and [tex]\triangle BYO[/tex] are right triangles (a triangle with a right angle is a right triangle)

3) [tex]\overline{AO} \cong \overline{OB}[/tex] (a midpoint splits a segment into two congruent parts)

4) [tex]\triangle AXO \cong \triangle BYO[/tex] (HA)

5) [tex]\overline{OX} \cong \overline{OY}[/tex] (CPCTC)

Question 6

1) [tex]\angle B[/tex] and [tex]\angle D[/tex] are right angles, [tex]\overline{AC}[/tex] bisects [tex]\angle BAD[/tex] (given)

2) [tex]\overline{AC} \cong \overline{AC}[/tex] (reflexive property)

3) [tex]\angle BAC \cong \angle CAD[/tex] (an angle bisector splits an angle into two congruent parts)

4) [tex]\triangle BAC[/tex] and [tex]\triangle CAD[/tex] are right triangles (a triangle with a right angle is a right triangle)

5) [tex]\triangle BAC \cong \triangle DCA[/tex] (HA)

6) [tex]\angle BCA \cong \angle DCA[/tex] (CPCTC)

7) [tex]\overline{CA}[/tex] bisects [tex]\angle ACD[/tex] (if a segment splits an angle into two congruent parts, it is an angle bisector)

Question 7

1) [tex]\angle B[/tex] and [tex]\angle C[/tex] are right angles, [tex]\angle 4 \cong \angle 1[/tex] (given)

2) [tex]\triangle BAD[/tex] and [tex]\triangle CAD[/tex] are right triangles (definition of a right triangle)

3) [tex]\angle 1 \cong \angle 3[/tex] (vertical angles are congruent)

4) [tex]\angle 4 \cong \angle 3[/tex] (transitive property of congruence)

5) [tex]\overline{AD} \cong \overline{AD}[/tex] (reflexive property)

6) [tex]\therefore \triangle BAD \cong \triangle CAD[/tex] (HA theorem)

7) [tex]\angle BDA \cong \angle CDA[/tex] (CPCTC)

8) [tex]\therefore \vec{DA}[/tex] bisects [tex]\angle BDC[/tex] (definition of bisector of an angle)

the tens digit of a two digit number is 5 greater than the units digit. if you subtract the reversed number from the original number you will get 1/4 of the original number
what is the original number

Answers

From the given information, the original number is 180. 02

How to determine the original number

Let the unit digit be x

The unit in tens is x+ 5

The original number = 10(x+5) + x = 11x + 50

The reversed number = 10x+ (x+5) = 11x+5

From the information given, we have that

(11x + 50) - (11x + 5) = 1/4 (11x + 50)

Expand the expression

11x + 50 - 11x - 5 = 1/ 4(11x + 50)

Collect like terms

11x - 11x + 50 - 5 = 1/ 4 (11x + 50)

45 = [tex]\frac{11x + 50}{4}[/tex]

Cross multiply

45 * 4 = 11x + 50

180 = 11x + 50

11x = 180 -50

11x = 130

x = 130/11

x = 11. 82

To find the original number, we have

Original number = 11x + 50

Substitute the value of x

Original number = 11(11.82) + 50

Original number = 130. 02 + 50

Original number = 180. 02

Therefore, the original number is 180. 02

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Which quadratic equation does not have a real solution? (1 point)
3x2 − 6x + 3 = 0
−4x2 − 4x − 6 = 0
−x2 − 6x − 9 = 0
2x2 − 10x − 5 = 0

Answers

Since it has a negative discriminant, the quadratic equation that does not have a real solution is given by:

−4x2 − 4x − 6 = 0.

What is the discriminant of a quadratic equation and how does it influence the solutions?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

The solutions are as follows:

If [tex]\mathbf{\Delta > 0}[/tex], it has 2 rational solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has 1 rational solutions.If [tex]\mathbf{\Delta < 0}[/tex], it has 0 real solutions.

We want [tex]\Delta < 0[/tex], hence, for equation -4x² - 4x - 6, we have that a = -4, b = -4, c = -6, hence:

[tex]\Delta = (-4)^2 - 4(-4)(-6) = 16 - 96 = -80[/tex]

Negative discriminant, hence it does not have a real solution.

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Answer:

The answer above is correct. The answer was confirmed by a teacher, and was marked as correct on the test

Step-by-step explanation:

9 times 2/3=
SIMPIFIED

Answers

Answer:

6

Step-by-step explanation:

9 x 2/3

9/1   x 2/3 =   18 / 3  = 6

The Surface Area of a square pyramid is 3600 ft2. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cubic blocks can be stuffed in the pyramid?

(*Some of the blocks might have to be cut up to fit into crevices*)

Answers

The number of 1 foot cubic blocks that can be stuffed in the pyramid are; 10,583 cubes

How to find the surface area of a Pyramid?

The equation for the surface area of a square pyramid is;

Surface area = A + 1/2·p·s

where;

A = area of base

p = perimeter

s = slant height

The volume of the pyramid = (1/3) × A × h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, then there are approximately 10,583 cubes

For rigid cubes we have;

Given that the height of the pyramid = 30·√7

The slope of the pyramid = (30/10)√7 = 3·√7

A increase in height of 1 foot gives a reduction in width of 2/(3√7)

The bottom can hold 400 cubes, Then next layer can hold;

19 × 19 = 361

If we continue to iterate, we will get a total of approximately 9915 rigid cubes in the pyramid.

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what is something you do that can be set up as a two- step equation? how would you set that up as an equation to explain to someone else how it can be solved?

Answers

What you can do that can be set up as a two- step equation is to follow the form which is  [tex]ax + b = c[/tex] and should be noted that  a, b, c are real numbers.

Two- step equation can be solved by following these

Perform the Simplification  by getting rid of all brackets and parenthesis. perform Addition or subtraction to isolate the variable.Simplify to determine the value of the variable.Perform verification through  substituting of answers in the given equation.

What is two- step equation?

Two step equations serves as  algebraic equations which can be solved in exactly two steps to get the  final value of the variable .

Example of this is [tex]2x + 3 = 7.[/tex]

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PLEASE HELP!!!!!!!!!!!!I BEG YOU

Answers

Answer is 100
Reason - it’s a vertical angle, it is the same measurement, it is congruent
The answer is also 100 because it’s a vertical angle so it’s the same

To collect data from a number of people in a sample, use alan

Answers

The ways to collect data in a sample include:

Use of questionnaire.Through observations.Through surveys.

What is a sample?

It should be noted that a sample simply means a subset of a population that has the characteristics of the entire population.

In this case, the ways to collect data in a sample include the use of questionnaire, through observations, and through surveys.

l

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20 points!!
Show that for any real numbers a and b, and any integers x and y so that x≠0, y≠0, x≠y, and x≠-y,
(y/x-x/y)((ax+by)/(x+y)-(ax-by)/(x-y))=2(a-b).

Answers

See below for the proof of the equation [tex]\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)[/tex]

How to prove the equation?

The equation is given as:

[tex]\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)[/tex]

Take the LCM

[tex]\frac{(ax + by)(x - y) -(ax - by)(x + y)}{(x + y)(x - y)}= 2(a - b)[/tex]

Expand

[tex]\frac{ax^2 - axy + bxy - by^2 -ax^2 - axy + bxy + by^2}{(x + y)(x - y)}= 2(a - b)[/tex]

Evaluate the like terms

[tex]\frac{-2axy + 2bxy }{(x + y)(x - y)}= 2(a - b)[/tex]

Rewrite as:

[tex]\frac{-2axy + 2bxy }{x^2 - y^2}= 2(a - b)[/tex]

Factorize the numerator

[tex]\frac{2(a - b)(x^2 - y^2)}{x^2 - y^2}= 2(a - b)[/tex]

Divide

2(a - b)= 2(a - b)

Both sides are equal

Hence, the equation [tex]\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)[/tex] has been proved

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omg help me please!!!!

Answers

the answer is 30yd. the area of the triangle is 36 minus the area of the rectangle which is 6 which gives the answer 30

Find the missing angles. will give brainliest if done correctly.

Answers

Answer:

x = 69 v = 103

Step-by-step explanation:

Angles in a triangle add up to 180 degrees:

34 + 77 + x = 180

x = 69

Angles on a straight line add up to 180:

77 + v = 180

v = 103

Answer:

x = 69°V = 103°

Step-by-step explanation:

the sum of the interior angles in a triangles is 180°, take away from 180 the know angles (34° and 77°) and you will have your answer

180 - 34 - 77 = 69°

Now we find angle V

The angle V and the angle of 77 ° are on a straight line, so the sum is 180°, from 180° you subtract 77 ° and you have the value of V

180 - 77 = 103 °

Classify the following triangle. Check all that apply.

Answers

Well, I can’t see the triangle, but I can give you the defining factors of the types of triangles.

A right triangle will have one right angle (often denoted by a small square connecting the sides of the angle) and two acute angles


An obtuse triangle will have one angle above 90° and two acute angles

An isosceles will have at least two sides of equal length and two angles of equal measure

An equilateral triangle is where all the sides are the same length and all the angles are 60°

A scalene triangle is a triangle in which all the sides are different lengths

What function does this graph represent? f(x) 6 -4 -2 = 6- 4 2- A -6 lo 2 OA. f(x) = -3(x - 2)² + 4 OB. f(x) 3(x + 2)² + 4 Oc. f(x) = 3(x - 2)² + 4 OD. f(x) = -3(x + 2)² + 4​

Answers

This graph represents Option D = [tex]-3(x+2)^{2} + 4[/tex]

As the given figure is a parabola, it will have quadratic equation because the general equation of parabola corresponds  to [tex]x^{2} = 4ay[/tex] which has highest power of the variable equals to 2, thus its a quadratic equation.

The maximum value of a quadratic equation [tex]ax^{2} + b x +c[/tex]  is at points

[tex](-b/2a, c-\frac{b^{2} }{4a} )[/tex]

By looking at the graph we can observe the point at which the graph has achieved maxima is (-2,4).

∴ ([tex]-b/2a = -2[/tex] , [tex]c-\frac{b^{2} }{4a} = 4[/tex]

The coefficient of [tex]x^2[/tex] should be negative the graph opens downwards.

∴ Option B and C are eliminated.

On putting x = -2 only option D yields 4.

Thus this graph represents Option D = [tex]-3(x+2)^{2} + 4[/tex]

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The perimeter of a square field is 336 yards. How long is each side?

Answers

Question:

The perimeter of a square field is 336 yd. How long is each side?

Answer:

1,344 yd

if you anwser the question i give you brainly

Answers

The graph is in a reciprocal relationship with Option C

What is a Function ?

A function is a mathematical statement used to relate a dependent and n independent variable.

The function is represented by the graph

The nature of the graph is exponential

and the equation is determined by the points on the graph

( 1,1) ( 2,4) '

The equation is

y = ( 1/4) 4ˣ

The inverse of the function will be found by replacing the y variable with x and vice versa and then solving to bring the function into the form of x.

x = ( 1/4) [tex]\rm 4^y[/tex]

Plotting this gives the answer as Option C

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look at image.................

Answers

Answer:

-1/3

Step-by-step explanation:

When x is 1, y is 5

When x is 4, y is 4

5-4=1

1-4=-3

1/-3=-1/3

Select the correct graph of −x − 2y = 6.

Answers

Answer:

x = -6-2y

Step-by-step explanation:

Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O A is 3. The length of A A prime is 9.

Triangle ABC is dilated to create triangle A'B'C' using point O as the center of dilation.

What is the scale factor of the dilation?
One-third
3
4
One-fourth

Answers

The scale factor of the dilation shown in the image is: C. 4.

How to Find the Scale Factor of Dilation?

Scale factor = New dimension/corresponding old dimension.

From the image given, we have:

Scale factor = OA'/OA

OA' = 3 + 9 = 12 units

OA = 3 units

Scale factor of dilation = 12 units/3 units

Scale factor of dilation = 4

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C. 4

Next one is 6 if you have the option on edge

help me i give you brainly

Answers

Answer:

False

Step-by-step explanation:

I'm not a 100 percent though

According to a report in USA Today, more and more parents are helping their young adult children get homes. Suppose eight persons in a random sample of 60 young adults who recently purchased a home in Kentucky received help from their parents. You have been asked to construct a 95% confidence interval for the population proportion of all young adults in Kentucky who received help from their parents. What is the margin of error for a 95% confidence interval for the population proportion

Answers

The margin of error for a 95% confidence interval for the population proportion is 0.0815.

Given sample size=60 and confidence interval of 95%.

We have to calculate margin of error for a confidence interval of 95%.

Margin of error is the difference between actual values and calculated values. Margin of error is a part of z test.

We have been given sample size=60.

8 people have received help from their parents from the sample.

p=8/60=0.13

which is sample proportion.

z=1-0.13

=0.87

To calculate standard error=[tex]\sqrt{p*z/n}[/tex]

=[tex]\sqrt{0.13*0.8/60}[/tex]

=0.0416

at 95% confidence interval

z(α/2)=1.96

therefore margin of error=1.96*0.0416

=0.081536

=0.0815

Hence the margin of error for 95% confidence interval is 0.0815

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For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: y = negative 4 x squared

Answers

The values of a, b, and c are -4,0 and 0 and the parabola opens downward with y-intercept (0,0).

we have

y=-4x^2

What is the standard form of the quadratic equation?

The quadratic equation in standard form is equal to

ax^2+bx+c=0

So,In this problem

a=-4, b=0 and c=0

The y-intercept is the value of y when the value of x is equal to zero

y=-4(0)^2=0

The y-intercept is the point (0,0)

The coefficient a is negative, therefore the parabola opens down.

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find f(-1) and find one value of x for which f(x)=0

Answers

[tex]f( - 1) = - 3[/tex]

[tex]f(x) = 0 \\ for \: x = 2 \: or \: x = - 2[/tex]

Caraline is planting flowers in her garden she plants 7 flowers in 4 minutes after 12 minutes she has planted 21 different flowers

Answers

Answer:

A.28 minutes

B.40 minutes

C.56 minutes

D.70 minutes

Step-by-step explanation:

pls step by step on how to do that​

Answers

wth is that wdym ???

A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb is located at the focus of the parabola in order to give the best illumination. The mirror is modeled by y^2=36(x-10), where the measurements are in cm. What is the location of the light bulb?

Answers

Answer:

the third option

Step-by-step explanation:

Our equation is

[tex] {y}^{2} = 36(x - 10)[/tex]

Equation of a vertical parabola is

[tex]( {y - k)}^{2} = 4p(x - h)[/tex]

where (h,k) is the center

The focus is

(h+p, k)

Equation of directrix is

x= h-p,

Here the center is (10,0)

Next, we factor out 4 in the original equation

[tex]4(9)[/tex]

So we have

[tex] {y}^{2} = 4(9)(x - 10)[/tex]

So our p=9,

So our focus is

(10+9,0) or (19,0)

The third option is the answer

The location of the light bulb is at point A. (10, 0).

Option A is the correct answer.

We have,

To find the location of the light bulb, we need to identify the coordinates (x, y) at which the light bulb is located.

In the given parabolic mirror equation, y² = 36(x - 10), the vertex form of the equation for a parabola with a vertical axis is (h, k), where h is the

x-coordinate of the vertex and k is the y-coordinate of the vertex.

Comparing the given equation with the standard form

(y - k)² = 4a(x - h),

we can see that h = 10 and k = 0.

So, the location of the light bulb is at the point (10, 0).

Therefore,

The location of the light bulb is at point A. (10, 0).

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A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb is located at the focus of the parabola in order to give the best illumination.

The mirror is modeled by y² = 36 (x-10), where the measurements are in cm.

What is the location of the light bulb?

A. (10, 0)

B. (14, 0)

C. (19, 0)

D. (36, 0)

A test started at 10:55. the teacher collected the answer scripts 1 hour and 15 minutes later . At what time did she collect them?​

Answers

Answer:

10+1=11 but the 55 so it is now 11:55+15min so it makes it 12:10

Answer:

Hello! The answer to your question is 12:10.

Step-by-step explanation:

1 hour after 10:55 is equivalent to 11:55. Now, we have 15 minutes remaining. We can add in increments of 5 to get to 15 in terms of time:

11:55 + 5 minutes

= 12:00 + 5 minutes

= 12:05 + 5 minutes

= 12:10

5 + 5 + 5 = 15, so we reached 15.

The teacher collected the answer scripts at 12:10.

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