What is the question?
Step-by-step explanation:
Answer:
so you need to find the cost of one pen, which ever is cheaper pick that one
m = − 6 ; n = 2 ; p = 4 − 3 m 2 + 4 n − p
Answer:
- 104
Step-by-step explanation:
Assuming the question is to evaluate the expression.
Given
- 3m² + 4n - p ← substitute given values for m, n and p
= - 3(- 6)² + 4(2) - 4
= - 3(36) + 8 - 4
= - 108 + 4
= - 104
Write the equation of the line that passes through the points (7,-8) and (2, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
The equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
Step-by-step explanation:
We need to write the equation of the line that passes through the points (7,-8) and (2, -8).
We need to write answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
The general equation of point-slope form is: [tex]y-y_1=m(x-x_1)[/tex]
where m is slope of the line.
To find the slope, we can use formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=7,y_1=-8,x_2=2, y_2=-8[/tex]
Putting values and finding slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-8-(-8)}{2-7}\\Slope=\frac{-8+8}{-5}\\Slope=\frac{0}{-5}\\Slope=0[/tex]
So, we find the slope : m = 0
Now, using the point (7,-8) and slope m =0, the required equation is:
[tex]y-y_1=m(x-x_1)\\y-(-8)=0(x-7)\\y+8=0\\y=-8[/tex]
So, the equation of the line that passes through the points (7,-8) and (2, -8) is [tex]\mathbf{y=-8}[/tex]
Daniel's age is 15% of
Sarah's. Luke's age is 75% of
Sarah's and 300% of Daniel's.
When they added their ages,
the total was 141. How old is
Rachel?
Answer:
27 years oldStep-by-step explanation:
Full question isDaniel's age is 15% of Sara's. Luke's age is 75% of Sara's and Rachel's is 300% of Daniel's. When they added their ages, the total was 141. How old is Rachel? SolutionDaniel = d, Sara = s, Luke = l, Rachel = r
We get below relations:
d = 0.15sl = 0.75sr = 3d ⇒ r = 3*0.15s ⇒ r = 0.45sSum of ages:
d + s + l + r = 141Substitute and solve for s:
0.15s + s + 0.75s + 0.45s = 1412.35s = 141s = 141/2.35s = 60Rachel's age is:
r = 0.45*60 = 27if tñ=2ñ+3, find S10
Answer:
[tex]S_{10}=280[/tex]
Step-by-step explanation:
Given that,
[tex]t_n=2n+3[/tex] ...(1)
We need to find the value of [tex]S_{10}[/tex].
Put n = 1 to find the first term.
[tex]t_1=2(1)+3=5[/tex]
Put n = 2 to find the second term.
[tex]t_2=2(2)+3=7[/tex]
Put n = 3 to find the third term.
[tex]t_3=2(3)+3=9[/tex]
Put n = 10 to find the tenth term.
[tex]t_{10}=2(10)+3=23[/tex]
It means we need to find the sum of 5,7,9,.....,23.
The formula for the sum of n terms is given by :
[tex]S_=\dfrac{n}{2}(a+a_n)[/tex]
We have, n = 10, a = 5 and [tex]a_n=23[/tex]
So,
[tex]S=\dfrac{10}{2}(5+23)\\\\S_{10}=10\times 28\\\\=280[/tex]
So, the value of [tex]S_{10}[/tex] is equal to 280.
A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative. Is it possible that the product in each row is positive?
Answer:
Yes
Step-by-step explanation:
A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.
I will give a brainlist if someone could answer this problem with a explanation:)
Answer:
Step-by-step explanation:
The two base angles in each triangle are equal. (The triangle is isoceles and the property used is angles opposite equal sides are equal).
Now the tricky part. The peak angles are also equal. That's because both peak angles are made equal by Peak angle + 2*base angle = 180
Peak angle = 180 - 2*base angle
Therefore the triangles are congruent by SAS.
I suppose you could get them equal by taking one of the base angles (all 4 are equal to each other) and the peak angles and claim equality by ASA, but it seems a little bit tortuous to me.
Solve the triangle given that a=19 b=16, c=11.
Answer:
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Step-by-step explanation:
From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.
If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:
Angle A
[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)
[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]
[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]
[tex]A \approx 87.395^{\circ}[/tex]
Angle B
[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)
[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]
[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]
[tex]B\approx 57.271^{\circ}[/tex]
Angle C
[tex]C = 180^{\circ}-A-B[/tex]
[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]
[tex]C = 35.334^{\circ}[/tex]
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Find the missing angle m
Answer:
m∠BAC=135°
Step-by-step explanation:
360- 84=276
276-141=135
Hope this helps!
Please mark me brainliest if you can. :)
Please help me with my homework!!!!
Answer:
-3.5
Step-by-step explanation:
Flip the equation so it's 0 - 3.5 which would give you -3.5
Answer:
- 3 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!
Evaluate the following logarithm 3/4log16
Need help #2. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answer:
please refer to the above attachment
(D) is the right answer.In his 2011 State of the Union Address, President Barack Obama said:
"To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet. Our infrastructure used to be the best, but our lead has slipped. The jobs created by the transcontinental railroad & the Interstate Highway System didn't just come from laying down track or pavement. They came from businesses that opened near a town's new train station or the new off-ramp.
We've begun rebuilding for the 21st century. And tonight, I'm proposing that we redouble those efforts. We'll put more Americans to work repairing crumbling roads and bridges. Within 25 years, our goal is to give 80% of Americans access to high-speed rail. Within the next five years, we'll make it possible for businesses to deploy the next generation of high-speed wireless coverage to 98% of all Americans. This isn't just about faster Internet or fewer dropped calls. It's about connecting every part of America to the digital age."
Is this excerpt from President Obama’s speech an example of argument or persuasion? Provide at least two reasons to support your answer. Answer in complete sentences.
please help 100points!!!!
And I will make brainiest
only if there is a good explanation.
Answer: This is a persuasion. Where he says "To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet." He is stating the problem. Also where he says "I'm proposing that we redouble those efforts." he is prompting a solution to the problem. Furthurmore, he’s stating the problem and teaching you how to figure out the solution.
Step-by-step explanation:
what is the the y intercept of the function f(x)=-2/9X+1/3?
Answer:
1/3
Step-by-step explanation:
the y-intercept is when x=0, so, if x was 0, y is1/3
plz brainliestt
Answer:
It is 1/3
Step-by-step explanation:
hope it helps ^^
Solve the following equation.
7(x - 2) = 3(x + 4)
X = ?
Answer:
x=6.5
Step-by-step explanation:
Don't worry I just know
Answer:
X = 13/2
Step-by-step explanation:
7(x-2)=3(x+4)
Distribute
7x - 14 = 3x + 12
-3x from both sides
4x -14 = 12
Add 14
4x = 26
Dive by 4
X = 13/2
If u simplify 26/4
Rational numbers are fractions or their opposites. is a rational number. Show this by writing it in the form , where a and b are integers.
plz help
Answer:
Explained below
Step-by-step explanation:
A rational number is one that can be expressed in form a of a fraction whereby both the numerator and the denominator are integers.
Also, if it results in a recurring decimal it is still a rational number but if the decimal is not recurring, then it is not a rational number.
Now, for example let's consider the number 5.
It is a rational number because it can be expressed as; 5/1; 10/2; 20/4; -5/-1 e.t.c
Now, the opposite of these fractions like we are told to check in the question results in;
1/5; 2/10; 4/20; -1/-5;
The opposite will give us still a rational number because both numerator and denominator are still integers and also the value of the division is 0.2 which is a definite decimal and also can be expressed as an integer.
Can any of you plz answer? (math)
What is the vertex for y=x^2-3+2
Answer:
-1
explanation:
because I used a graphing calculator
How to Simplify (7x+2)+(x+8)-2x
Answer:
Step-by-step explanation:
The answer to this should be 2(3x+5)
The simplified answer of this is 6x+10
I hope I helped you out.
Answer:
P: ()
E: 5^4 (example)
M:x
D: ÷
A:+
S:-
Copy the proof on paper, mark the given diagram, fill in the blanks to fill in the proof
Statement Reason
1.
LA ≅ ?? Given
Given
2.
TA ≅ ??? Reflex Prop.
3. ∠LAT≅∠ ??? ???
4. △LAT≅△ ??? ???
Answer:
I don't know all of these, but I do know some.
Step-by-step explanation:
1. LA ≅ SA Given
2. I'm sorry I don't know this
3. ∠LAT≅∠ SAT and Def of angle bisector for the reason.
4. △LAT≅△ TAS and I believe it's SAS for the reason.
Answer:
Answers in explanation
Step-by-step explanation:
LA ≅ SA | Given
TA ≅ TA | Reflexive Property
∠LAT ≅ ∠SAT | Definition of angle bisector
△LAT ≅ △SAT | SAS
Kendrick walked of a mile in of an hour. How fast did he walk? _____miles per hour
Answer:
He walked at 1 mile per hour
Step-by-step explanation:
Answer:
He walked at 1 mph
Step-by-step explanation:
Help who ever. actually helps me gets brainliest.
Answer:
A, C
Step-by-step explanation:
6 boxes in 1/2 hour means 12 boxes in 1 hour (there are 2 half-hours in 1 hour) so multiply 6 by 2
dividing 6 by 1/2 is the same as multiplying 6 by 2
Solve the system by substitution.
-9x – 2y = -44
8x – 3 = y
Answer:
x = 2, y = 13
(2, 13)
Step-by-step explanation:
hope this helps!
here’s the other one
Answer:
it is A
Step-by-step explanation:
1.1.4 Practice: Scale Drawings
Practice
Math 7 Sem 2
Points Possible:5
Name:
Date:
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Jason and Adam are using a kit to build their own electronics board for a computer project. They use a scale drawing included in the instructions to help build the board.
Jason will use the scale factor to find the board's actual length and width, then multiply those dimensions to find the board's area.
Adam says he knows another way.
Answer the questions to show how Adam could find the area of the scale drawing, and then use this strategy to find the area of the electronics board.
1. What is the area of the board shown on the scale drawing? Explain how you found the area.
Write your answer in the space below.
2. How can Adam use the scale factor to find the area of the actual electronics board? Remember, he uses a different method than Jason.
Write your answer in the space below.
3. What is the area of the actual electronics board?
Write your answer in the space below.
Answer:
so over alll I got 1800
Step-by-step explanation:
for number 1
С
a
Find all the missing elements:
B
A = 40°
a = 8
А
b = 7
b
B = [?]° C = [ ]° c = [ ]
Round to the nearest tenth.
C С
Answer:
B=34.2
C=105.8
c=12.0
Step-by-step explanation:
find B using the sine rule
(sin40÷8)=(sinB÷7)
rearrange
sin B= (sin40x7)÷8
sin B=0.562
make sure to use your calculator
then press shift sin to find B
B= 34.2°
to the nearest tenth means to 1 decimal place
sum of angles in a triangle is 180
so 180-(40+34.2)=105.8°=C
use sine rule again to find c
(sin105.8÷c)=(sin40÷8)
rearrange
c= (sin 105.8x8)÷sin40
c=12.0
please help, thanks :)
Answer:
D :)
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answer:
Scale factor = 1.5
Step-by-step explanation:
Formula for the scale factor,
Scale factor = [tex]\frac{\text{Measure of one side of the Image}}{\text{Measure of one side of the preimage}}[/tex]
In this question, image is triangle Y and preimage is triangle X.
Scale factor of X to Y = [tex]\frac{15}{10}[/tex]
= 1.5
Therefore, scale factor = 1.5 is the answer.
Find the value of X.
All 3 sides of the triangle are the same, which means all 3 inside angles are the same. Each inside angle is 60 degrees.
We now have 3x = 60
Divide both sides by 3:
x = 60/3
x = 20
Answer:
As in the given figure, all the sides are equal i.e., 5 units
It is a equilateral triangle.
In equilateral triangle all the angles are 60°.
[tex]3x = 60 \\ x = \frac{60}{3} \\ \boxed{x = 20}[/tex]
20 is the right answer.In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=60°, and JH = 80 feet. Find the length of IJ to the nearest foot.
Answer:
46.2
Step-by-step explanation:
46.188= 46.2
The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?
Answer:
14ft
Step-by-step explanation:
Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.
(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)
Hope this helps :D