Answer:
105
Step-by-step explanation:
The order of operations is written as PEMDAS. These letters stand for:
-Parentheses
-Exponents
-Multiplication
-Division
-Addition
-Subtraction
We follow these steps in order to solve expressions efficiently. Now, we are going to use PEMDAS to evaluate the expression 3(5+2)(7-2) step by step.
3(7)(5) The first step is to simplify the numbers in the parentheses.
There are no exponents, so we skip to the next step, multiplication.
(3*7)(5)
21(5)
105
PEMDAS is no longer needed because 105 has come out to be our answer.
I hope this helps you out! Have an an awesome day :3
In Exercises 1-4, determine whether the dilated figure or the original figure is closer to the center of dilation. Use the given location of the center of dilation and scale factor k.
1. Center of dilation inside the figure; k = 3
Center of ditation inside the figure, k = 1/2
3. Center of dilation outside the figure: = 120%
4. Center of dilation outside the figure; k = 0.1
When the Center of dilation is inside the figure
The original figure is closer to the center of dilationThe dilated figure is closer to the the center of dilationWhen the Center of dilation is outside the figure
3. The original figure is closer to the the center of dilation
4. The dilated figure is closer to the center of dilation
The center of dilation is the fixed point from which the distances in a dilation are measured
The scale factor is ratio of the side lengths of an original figure or preimage to the side lengths of the newly formed image
Center of dilation is inside the figure
Where the center of dilation is inside the figure, and the scale factor is larger than 1, k = 3 > 1, we have;The distance of a point on the dilated figure, including the distances from the center of dilation is 3 times the distances of points on the original image from the center of dilation
Therefore, the original figure has a shorter distance to and is therefore closer to the the center of dilation than the dilated figure
2. Where the center of dilation is inside the figure, and the scale factor is a fraction between 0 and 1 k = 1/2, we have;
The distance of a point on the dilated figure, including the distances from the center of dilation is 1/2 times the distances of points on the original image from the center of dilation
Therefore, the dilated figure has a shorter distance to and is therefore closer to the the center of dilation than the original figure
Center of dilation outside the figure
3. Given that the center of dilation is outside the figure and the scale factor is larger than 1, k = 120% = 120/100 = 1.2 > 1, we have;
The distance of the dilated figure from the center of dilation is 120% of the distance of the original figure from the center of dilation, therefore, the original figure is closer to the the center of dilation than the dilated figure
4. Where the center of dilation is outside the figure and the scale factor is a fraction between 0 and 1, k = 0.1 < 1
The distance of the dilated figure from the center of dilation is only 0.1 times the distance of the original figure from the center of dilation, and therefore, the dilated figure is closer to the center of dilation
Learn more about scale factors and center of dilation here;
https://brainly.com/question/12162455
help! please!!!!!! look at photo :))
Hey there!
We know that Danielle earns $10 per hour, so muliply that by 3 and get 30.
Because Danielle works an extra half an hour, divide 10 by 2 and get 5.
Danielle earns $35 in 3 hours and a half.
Hope this helps! Please mark me as brainliest!
Have a wonderful day :)
Which functions have a maximum value greater than the maximum of the function g(x) = -(x + 3)2 - 4?
Answer:
max: -4
Step-by-step explanation:
(x+3)^2 》0 mọi x
<=> -(x+3)^2 《0
<=> -(x+3)^2 -4 《 -4
how do i find the length of VN
Answer:
30
Step-by-step explanation:
let the length of VN be x
VNB ~ VMD
VN/VM = BN/DM
x/(30+x) = 12/24
24x=12(30+x)
24x=360+12x
12x=360
x = 30
Find the slope intercept form and the point slope the line perpendicular to 4x-7y=2 going through (-6,1)
Answer:
Slope-intercept form: [tex]y=-\frac{7}{4}x-\frac{19}{2}[/tex]
Point-slope-form: [tex]y-1=-\frac{7}{4}(x+6)[/tex]
Step-by-step explanation:
Hi there!
We want to find the equation of the line perpendicular to the line 4x-7y=2 that goes through (-6, 1) in slope-intercept form, as well as the point-slope form
Slope-intercept form is defined as y=mx+b, where m is the slope and b is the y intercept
Point-slope form is defined as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point
Meanwhile, perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1
So let's find the slope of the line 4x-7y=2
The equation of the line is in standard form, which is ax+by=c, where a, b, and c are integer coefficients a is non-negative, and a and b aren't 0
So let's find the slope of the line 4x-7y=2
One way to do that is to convert the equation of the line from standard form to slope-intercept form
Our goal is to isolate y onto one side
Subtract 4x from both sides
-7y=-4x+2
Divide both sides by -7
y=[tex]\frac{4}{7}x-\frac{2}{7}[/tex]
So the slope of the line 4x-7y=2 is [tex]\frac{4}{7}[/tex]
Now, we need to find the slope of the line perpendicular to it
Use this formula: [tex]m_1*m_2=-1[/tex]
[tex]m_1[/tex] in this case is [tex]\frac{4}{7}[/tex]
[tex]\frac{4}{7}m_2=-1[/tex]
Multiply both sides by [tex]\frac{7}{4}[/tex]
m=[tex]-\frac{7}{4}[/tex]
Let's see the equation of the perpendicular line so far in slope-intercept form:
y=[tex]\frac{-7}{4}x[/tex]+b
We need to find b now
The equation of the line passes through (-6,1), so we can use it to solve for b.
Substitute -6 as x and 1 as y
[tex]1=-\frac{7}{4}*-6+b[/tex]
Now multiply
1=[tex]\frac{42}{4}+b[/tex]
Subtract 42/4 from both sides to isolate b
-19/2=b
Substitute -19/2 as b into the equation
The equation in slope-intercept form y=[tex]\frac{-7}{4}x-\frac{19}{2}[/tex]
Now, here's the equation in point-slope form
Recall that the slope is [tex]\frac{-7}{4}[/tex] , our point is (-6, 1), and point-slope form is [tex]y-y_1=m(x-x_1)[/tex]
Let's label the value of everything to avoid any confusion
[tex]m=-\frac{7}{4} \\x_1=-6\\y_1=1[/tex]
Now substitute those values into the equation
[tex]y-1=-\frac{7}{4}(x--6)[/tex]
We can simplify the x--6 to x+6
[tex]y-1=-\frac{7}{4}(x+6)[/tex]
Hope this helps!
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A sample of 500 U.S. teachers are asked to express their opinions on standardized testing for their students. The population in this study is _______________.
A. all U.S. students
B. standardized tests
C. all U.S. teachers
D. the 500 U.S. teachers
Answer:
Option A
Step-by-step explanation:
Dont let the sample of 500 teachers fool you the 500 teachers opinion is on their students standardized testing experience. In this case the students are the test subjects(population).
Charlene is a salesperson. Let y represent her total pay (in dollars). Let x represent the number of
items she sells. Suppose that x and y are related by the equation y=32x + 1900.
What is Charlene's total pay if she doesn't sell any items?
A. $32
B. $1,900
C. $3,200
D. $19
I'LL GIVE BRAINLIEST !!! FASTERR !
Answer:
Option A, 86°
Step-by-step explanation:
each diagonals of a rhombus divides the angles at half, so a+b+c+d = 360°/2 = 180°
now, a+b+c+d-94° = 180°-94° = 86°
Answer:
D 266°
Step-by-step explanation:
a+b+c+d-94°
90°+ 90°+ 90°+ 90° -94°
360°-94°
266°
Write the sum using the summation notation assuming the suggested pattern continues 2, -10, 50, -250, +…
Is this sequence arithmetic or geometric? How do you know?
Answer:
geometric
x=number of terms
∑ 2(-5)^(k-1)
k=1
Step-by-step explanation:
the sequence has a ratio of -5 (2*-5=-10, -10*-5=50)
x=number of terms
∑ 2(-5)^(k-1)
k=1
for this i don't know what the last term is since it doesn't show in the question but just find 2(-5)^x and x will be the top term
5. Which pair of equations represents parallel lines?
A. y =2x+7
Y=2x-7
B. Y=7
X=7
C. Y=2x-7
Y=-1/2-7
D. Y=2x+7
Y=x+7
Answer:
C
Step-by-step explanation:
solve the equation:
|x+3| >2x-1
Answer:
x < 4
Step-by-step explanation:
|x+3| >2x-1 [|a| is the absolute value of a]
x+3 > 2x-1
4 > x
Therefore,
x < 4
The negative case doesn't have equal RHS and LHS so, it isn't valid.
What is the factored form of 1,458,43 – 2?
Answer:
Factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458. There are 14 integers that are factors of 1458. The biggest factor of 1458 is 1458. Positive integers that divides 1458 without a remainder are listed below.
PLEASE HELP!! Important test!! Option 1 isn't coming up so if you could try to solve others that would be great!
Answer:
4
Step-by-step explanation:
Func 2 is -2
Func 3 is 1
Func 4 is 8
Func 1 is unknown
the product of 7 and the quotient of 40 divided by 5 is
The quotient of 40 and 5
40÷5=8
=> Product of that number with 7 and 8
So number to find is : 7x8=56
The product of 7 and the quotient of 40 divided by 5 is 56.
What is the quotient?The quotient is the result which is derived by the division of two numbers.
For example, the quotient of 30 divided by 3 is 10.
What is the product of two numbers?The product is the multiplication of two numbers which is written as a*b.
For example, the product of 8 and 9 is 72.
Here given we have to calculate the product of 7 and the quotient of 40 divided by 5.
The quotient of 40 divided by 5 is 40/5= 8
The product of 7 and The quotient of 40 divided by 5= 7*8= 56
Therefore the product of 7 and the quotient of 40 divided by 5 is 56.
Learn more about quotient
here: https://brainly.com/question/673545
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What is the answer when you evaluate m + p - p2 ÷ 6; use m = 5 and p = 6 ?
Answer:
5
Step-by-step explanation:
m + p - p^2 ÷ 6
Let m = 5 and p=6
5 + 6 - 6^2 ÷ 6
Exponents first
5 + 6 - 36 ÷ 6
Then divide
5 + 6 - 6
Then add and subtract from left to right
11-6
5
Let A represent the average value of the function f(x) on the interval [0,6]. Is there a value of c for which the average value of f(x) on the interval [0,c] is greater than A?
Answer:
The average value of the Function f(x) by squeeze theorem states that no extreme or greater value will exist within the designated area for f(x)
If Tan A=5/12 then find cot A, cos A and Sin A
Cot A=1/tan A=12/5
cos A= 12/13
sin A=5/13
Draw a right angled triangle
the hypotenuse is the longest side which is 13 using Pythagoras theorem
the side opposite the angle A is 5
the side closest to the angle A which is called the adjacent is 12
sinA =opp/hyp
cos A= adj/hyp
cotA =1/tanA=cos A/sinA
Note: Pythagoras theorem is
hyp²=opp²+adj²
Answer:
Step-by-step explanation:
[tex]tan \ A = \frac{5}{12}=\frac{opposite \ site}{adjacent \ side}[/tex]
hypotenuse² = (opposite side)² + (adjacent side)²
= 5² + 12²
= 25 + 144
= 169
hypotenuse = √169 = √13*13 = 13
[tex]Cot \ A = \frac{adjacent \ side}{opposite \ side}=\frac{12}{5}\\\\Cos \ A = \frac{adjacent \ side}{hypotenuse}=\frac{12}{13}\\\\Sin \ A = \frac{opposite \ side}{hypotenuse}=\frac{5}{13}[/tex]
Marking brainliest
If a job interview says “tell me about yourself” what do u say
Answer:
I start to say from my name,age,family,qualifications and etc.
Answer:
In your response, do the following:
1. Mention past experiences and proven successes as they relate to the position.Begin by rereading the job description. Take note of the required skills that you have, and identify recent stories that demonstrate them . Ideally, you should draw primarily from recent professional experience; however, volunteer work can also support your narrative while demonstrating a commitment to your community.
2. Consider how your current job relates to the job you’re applying for.Is it a more senior role? If so, explain how you are taking on more responsibilities in your current position. If you are making a lateral transition to a role with different skills, describe how your current skills translate into the new position.
3. Focus on strengths and abilities that you can support with examples.When you start building the script of each example, focus on details and outcomes that you can quantify if possible. For example, stating that you “improved customer service” is less impactful than “increased customer service response rates each quarter by 10–15%.” If you don’t have the exact information, estimate a realistic value.
4. Highlight your personality to break the ice.Since the “Tell me about yourself” interview question is about getting to know you, it’s a good idea to share your personality with your interviewer—but not personal details. You may want to briefly mention hobbies that demonstrate intellectual development and/or community engagement (e.g., reading, music, sports league, volunteering) or those that showcase personal discipline and achievement (e.g., learning a new skill, training for a half marathon). Discussing personal interests is a good way to wrap up your response while maintaining a professional tone.
5. Format your response.For your response to be clear and concise, you’ll want to make sure you organize your answer following a format or formula. There are two common formulas you may consider:
Present, Past, FuturePast, Present, FutureBoth of these formulas work for your response, but you may choose one over the other based on the roles from your experience that are most relevant to the position you're interviewing for. For example, if your most recent role highlights many of the skills and qualifications that are required for the role you’re interviewing with, you may want to lead with the present. However, if you're making a career transition and your past experience is more closely related to the role than your current position, you may want to lead with your past.
Challenge: For a particular job, the Amax Employment Agency charges a fee that is equal to 15% of the first
month's pay. If the job pays X dollars annually, express the agency fee algebraically.
Answer:
0.0125x or x/80
Step-by-step explanation:
Salary: x dollars per year
To find the pay per month, we divide the annual pay by 12.
The monthly pay is x/12
15% of the first month's salary is
15% of x/12 = 0.15 * x/12 = 0.0125x = x/80
Answer: 0.0125x
For the triangle shown, what are the values of x and y?
60°
30°
6
Select the correct answer.
O x = 2V3, y = 473
O x= 3V3, y = 6/3
O x = 6/3, y = 12
O x = 6V3, y = 1273
Answer:
x = 6/√3 = 2√3
y = 2×2√3 = 4√3
So, 1st option is correct
Find the square roots of these numbers by division method.
a-6090
Reflect Triangle ABC in BC. What kind of figure will result? How would your answer change if ABC is isosceles? a right triangle with right angle at A? a right isosceles trianglewith right angle at A?
9514 1404 393
Answer:
a kitea kite or rhombus, dependinga kitea squareStep-by-step explanation:
The reflections are illustrated in the attached.
A1, A1' are opposite vertices of the reflected original triangle. They are part of a kite figure.
A2, A2' are opposite vertices of a reflected isosceles triangle, where BA=BC. Figure A2BA2'C is a kite.
A2a, A2a' are opposite vertices of a reflected isosceles triangle with AB=AC. Figure A2aBA2a'C is a rhombus.
A3, A3' are opposite vertices of a right triangle with the right angle at A3. Figure A3BA3'C is a kite figure.
A4, A4' are opposite vertices of a reflected right isosceles triangle with AB=AC and the right angle at A4. Figure A4BA4'C is a square.
***CAN SOMEONE HELP ME PLEASE!!***
The polygon in each pair are similar. Find the missing side length
Answer:
45 / 27 = 30 / 18 = x / 24
x = 40
Step-by-step explanation:
Hi there!
The question here states that the two polygons are similar
Polygons that are similar have similar side length ratios.
If we want to find a side length we must create a proportional relationship
We are already given a partial proportional relationship.
Which is...
45 / __ = __ / 18 = x / __
First let's fill in the blanks
The side that is corresponding to the side with a length of 45 has a length of 27. So it would be 45/27
The side that is corresponding to the side with a length of 18 has a length of 30. So it would be 30/18
The side corresponding to side labeled "x" has a length of 24. so it would be x/24
So we would have
45 / 27 = 30 / 18 = x / 24
Now let's find x
We only need 2 ratios ( the one including x of course, and the other one can either be 30/18 or 45/27)
30 / 18 = x / 24
Now let's solve for x
Cross multiply
30*24=720
18*x=18x
We now have 18x = 720
Divide both sides by 18
18x / 18 = x
720 / 18 = 40
x = 40
To check our answers we can see if the ratios are similar
If they are then we are correct
45/27 = 1.66
30/18 =1.66
40/24 = 1.66
They are all equivalent meaning that our answers are correct
What is the volume of the rectangular prism?
Answer:
94.5 yd^3
Step-by-step explanation:
The volume of a rectangular prism is given by the formula:
A = lwh
Where:
l = length
w = width
h = height
Volume is how much space a 3d figure occupies.
USE THE FORMULA WITH THE GIVEN DIMENSIONS:
A = (7)(4.5)(3)
= (31.5)(3)
= 94.5
Volume is measured in cubic yards, in this case.
Therefore your answer is 94.5 yd^3
I hope I helped!
Answer:
Step-by-step explanation:
length = 7 yd
Width = 4.5 yd
height = 3 yd
Volume of rectangular prism = length * width * height
= 7 * 4.5 * 3 = 94.5 yd³
what is the answer? I need help!! please and thank you
Answer:
B
Step-by-step explanation:
27%=0.27 and sqrt(2)<2.75
I don’t know if I get this right so can someone correct it or check it ?
Answer:
i think thats right
Step-by-step explanation:
Anna and Damien still haven't finished inventory for their pet store. They just received a shipment of 4 chinchillas. They already had 3 cages with 4 chinchillas in each. What expression shows Anna and Damien how many chinchillas they have now?
Answer:
16!
Step-by-step explanation:
4 x 3 = 12 + 4 = 16
help me please brainliest for the best answer!!
Answer:
The volume of the irregular figure would be 102 [tex]cm^3[/tex].
Step-by-step explanation:
If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is [tex]l*w*h[/tex], where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex], represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be [tex]6*3*5=30*3=90 cm^3[/tex], and the volume of the smaller rectangular prism would be [tex]3*2*2=6*2=12 cm^3[/tex]. So the volume of the entire irregular figure would be [tex]90+12=102 cm^3[/tex].
Answer:
102
Step-by-step explanation:
Large rectangle:
6 × 3 × 5 = 18 × 5 = 90
Small rectangle:
7 - 5 = 2
3 × 2 × 2 = 6 × 2 = 12
90 + 12 = 102
Hope this helped.
A is the point (0, 8) and R is the point (5, 6). Find the point Con the y-axis such that angle ABC is 90°
Answer:
(0, -13/2) or (0, -6.5)
Step-by-step explanation:
a point on the y-axis means x=0.
so, the solution is a point (0, y).
and I assume (5, 6) is not R but is B.
for the angle at B being 90 degrees, we are looking at a right-angled triangle, and basic Pythagoras has to be true :
c² = a² + b²
with c being the Hypotenuse (the line opposite of the angle with the 90 degrees).
in our case, this c is the connection from A to C.
and a and b are the connections AB and BC.
so,
AC² = AB² + BC²
the distance between two points is again calculated via Pythagoras, where the differences in x and y directions are the sides, and the distance itself is the Hypotenuse.
so, we get
(0-0)² + (8-y)² = (0-5)² + (8-6)² + (5-0)² + (6-y)²
(8-y)² = -5² + 2² + 5² + (6-y)²
64 - 16y + y² = 25 + 4 + 25 + 36 - 12y + y²
64 - 16y + y² = 90 - 12y + y²
64 - 16y = 90 - 12y
-26 = 4y
y = -26/4 = -13/2 = -6.5
5(^ 1/5 +-4) 2(-4)(-0.8)^ 2
Answer:
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} \frac{5(\frac{1}{5}+(-4) )}{2\cdot(-4) \cdot (0-0,8)^2} =\frac{^1 \ 5^{ }\!\!\!\!\diagup\cdot \frac{1}{5\!\!\!\!\diagup}-20 }{-8 \cdot 0,64 } = \\\\\\ \frac{-20+1}{-5,12} =\frac{-19}{-5,12} \cdot \frac{25}{25} =\frac{475}{128} =\boxed{\pmb{3\frac{91}{128} }}[/tex]
