Answer:
The slope of this line is 1/5
Evaluate the expression 7x^2y, when x = 5 and y=3
Answer:
It is 525
Step-by-step explanation:
How many layers of material were the Romanroads made of?
A.two
B.three
C.four
D.five
The difference between the two numbers is 48. The ratio of the two number is 7:3, what are the two numbers?
Answer:
84 and 36
Step-by-step explanation:
The ratio of two numbers is 7:3.
We don't know what the numbers are, but since their ratio is 7:3, we can let the numbers be 7x and 3x. Notice that the ratio between 7x and 3x is 7x/3x = 7/3, so we still have the same ratio, 7:3.
The difference between the numbers is 48.
7x - 3x = 48
4x = 48
x = 12
7x = 7(12) = 84
3x = 3(12) = 36
The numbers are 84 and 36.
Check:
7/3 = 2.333...
84/36 = 2.333...
84 and 36 are int he same 7:3 ratio as 7:3.
84 - 36 = 48
The difference between 84 and 36 is 48 like the problem states.
This shows our answer, 84 and 36, is correct.
Hi, hope you’re having a good day today!!!
Answer:
84:36
(The explanation is really really long, so you may want to skip it, unless this is a test or you want a better understanding then, yeah)
So first, you have 7:3
Then, you have to multiply both by the same number to get an equal ratio to 7:3,
Let’s try 7*10=70 and 3*10=30 70-30=40, so you know that the answer is close,
Then, let’s try 7*11=77 and 3*11=33, subtract and you get 44. Nope, not the answer
So, finally let’s try 7*12=84 and 3*12=36, and 84-36=48!!!!
So, the answer is explained! Wait, but you still have to put them like ratios (if this chapter is ratios and proportions)
84:36 or 84 to 36, either way.
Have a great day!! ❤️❤️find the equation!!!!!! asap
Answer:
[tex]y=\frac{1}{36}x^2[/tex]
Step-by-step explanation:
The focus of the parabola is (0,9)
and the directrix is y=-9.
The equation of this parabola is given by:
[tex]x^2=4py[/tex]
The vertex of this parabola is at the origin.
The value of p is the distance from the vertex to the focus.
p=9-0=9
The equation of the parabola is
[tex]x^2=4(9)y[/tex]
[tex]x^2=36y[/tex]
Or
[tex]y=\frac{1}{36}x^2[/tex]
Please help! This is 6th grade math on surface area.
Answer:
144
Step-by-step explanation:
Ok. I love problems like this.
You just have to find the surface are of each part and add it up!
To find the surface area of a rectangle, you multiple the base and the height. To find the surface area of a triangle, you multiple the base and height, and divide by 2 (because its half of a rectangle).
Left rectangle: 3*ll=33
Middle rectangle: 4*ll=44
Right rectangle: 5*ll=55
Top triangle: 3*4=12
12/2=6
Bottom triangle: 3*4=12
12/2=6
ADD THEM ALL!!! 33+44+55+6+6=144
(Also can I please please please have brainliest? I need it to level up!)
What is the surface area using integrals of these two lines. Y=10-x^2 and Y=x^2+2 from the bounds x=2 and x=-2.
Check the picture below.
[tex]\bf \displaystyle\int\limits_{-2}^{2}~[\stackrel{\textit{above function}}{(10-x^2)}~~-~~\stackrel{\textit{below function}}{(x^2+2)}]dx\implies \int\limits_{-2}^{2}~(10-x^2-x^2-2)dx \\\\\\ \displaystyle\int\limits_{-2}^{2}~(8-2x^2)dx\implies \left. 8x\cfrac{}{} \right]_{-2}^{2}-\left. \cfrac{2x^3}{3} \right]_{-2}^{2} \\\\\\ ([16]-[-16])~~-~~\left( \left[ \cfrac{16}{3} \right]-\left[ -\cfrac{16}{3} \right]\right)\implies (32)~~-~~\left( \cfrac{32}{3} \right) \\\\\\ \cfrac{64}{3}\implies 21\frac{1}{3}[/tex]
what happens when you subtract a fraction with the same denominators and numerators
Answer:
0
Step-by-step explanation:
Example : [tex]\frac{2}{5} - \frac{2}{5}[/tex] = 0
Find the unknown angle measure: please help..not sure if child's answers are correct?
Answer:
Part 1) The measure of angle PSL is 45°
Part 2) The measure of angle XYZ is 70°
Part 3) The measure of angle HJZ is 100°
Part 4) The measure of angle PHL is 120°
Part 5) The measure of angle WXZ is 140°
Part 6) The measure of angle UTG is 62°
Step-by-step explanation:
Part 1) Find the measure of angle PSL
we know that
∠PSL+∠LSM=90° -----> by complementary angles
we have
∠LSM=45°
substitute
∠PSL+45°=90°
∠PSL=45°
Part 2) Find the measure of angle XYZ
we know that
∠WYX+∠XYZ=180° -----> by supplementary angles
we have
∠WYX=110°
substitute
110°+∠XYZ=180°
∠XYZ=70°
Part 3) Find the measure of angle HJZ
we know that
∠HJZ=∠HJK+∠KJZ
we have
∠HJK=20°
∠KJZ=80°
substitute
∠HJZ=20°+80°=100°
Part 4) Find the measure of angle PHL
we know that
∠PHL=∠PHS+∠SHL
we have
∠PHS=46°
∠SHL=74°
substitute
∠PHL=46°+74°=120°
Part 5) Find the measure of angle WXZ
we know that
∠WXZ=∠WXY+∠YXZ
we have
∠WXY=15°
∠YXZ=125°
substitute
∠WXZ=15°+125°=140°
Part 6) Find the measure of angle UTG
we know that
∠UTG=∠ATG-∠ATU
we have
∠ATG=120°
∠ATU=58°
substitute
∠UTG=120°-58°=62°
Use polynomial division to completely factor y=x^3+3x^2-13x-15 by x+5
Answer:
(x - 3)(x + 1)(x + 5)
Step-by-step explanation:
I'd use synthetic division instead. If we were to find the roots of the given polynomial, we could from them write the factors as well.
The divisor x + 5 corresponds to root x = -5. Setting up synthetic div.,
-5 ) 1 3 -13 -15
-5 10 +15
-----------------------------
1 -2 -3 0
Since the remainder is 0, we know that -5 is a root and (x + 5) is a factor. Moreover, we know that the coefficients of the quotient are 1, -2 and -3.
1x² - 2x - 3 can be factored: the factors are (x - 3) and (x + 1).
So the end result for this problem is (x - 3)(x + 1)(x + 5).
Find the perimeter of this figure.
Answers choices
40 m
20 m
100 m
80 m
4 congruent sides, each 10 m, so perimeter 10+10+10+10 =
Answer: 40 m
A collection of quarters and nickels contains at least 42 coins and is worth at most $8.00. If the collection contains 25 quarters, how many nickels can be in the collection? Let x = the number of quarters. Let y = the number of nickels. There are at least nickels, but no more than nickels.
Answer:
17
35
Step-by-step explanation:
Answer:
17
35
Step-by-step explanation:
Is this relation a function?
You are trying to dunk a basketball. You need to jump 2.5 feet. In the air to dunk the ball. The height that your feet are above the ground is given by the function h (t)=-16ft+12. What is the maximum height your feet will be above the ground? Will you be able to dunk the basketball
Answer:
1)he maximum height your feet will be above the ground is 12
2)Will you be able to dunk the ball= yes
Step-by-step explanation:
Given:
In order to dunk the basket ball, height needed to jump= 2.5 feet
The height that your feet need to be of the ground is given by the function h(t)= -16t^2+12
1) the maximum height your feet will be above the ground=?
Given function of height,h(x)=-16t^2+12
finding maximum of the above function
The maximum of any function written in form of ax^2+bx+c is given by
max= c - (b2 / 4a)
Putting values c=12, b=0 and a=16, we get
max= 12-(0^2/4(-16))
= 12 -0
=12 feet
he maximum height your feet will be above the ground is 12 feet.
2) Will you be able to dunk the ball=?
As the maximum height the feet will be above the ground is 12 feet which is greater than the height needed to jump in the air to dunk the ball 2.5 feet i.e.
12>2.25
hence yes you will not be able to dunk the ball !
Solve this problem using the substitution method 2y-1/2y=2
Answer:
y=3/2and x =2
Step-by-step explanation:
If you roll a number cube 30 times, how many times do you expect to roll a five
Answer:
5
Step-by-step explanation:
There are 6 numbers on a die, one of them is 5 so we expect to get a five one of six times
P (5) = 1/6
If we roll the die 30 times, we expect to get a five 30 * 1/6 = 5 times
HELP FAST PLEASE!!!!! Which of the following is an equation of the translation y = sin x, shifted π units up?
y = sin (x + π)
y = sin x + π
y = sin (x − π)
y = sin x − π
to translate a graph up you need to add the amount you want to move it to the end of the equation, not to the variable.
The answer would be y = sin x + π
Answer:
B
Step-by-step explanation:
y=sinx+pi
Monique planted seeds to grow pansies, Snapdragons, and petunias. After several weeks, 18 out of 40 pansy seeds, 21 out of 50 snapdragon seeds, and 12 out of 30 petunia seeds grew into plants. Write the named of the plants in order from least percentage of plants that grew to the greatest percentage of plants that grew.
Answer:
petunias, snapdragons, then pansy
Step-by-step explanation:
Ok first, lets find the percentage of 18 out of 40: 18/40= 0.45
The 21 out of 50= 21/50= 0.42
Lastly, 12/30= 0.40
And its very simple to put from least to greatest:
0.40, 0.42, 0.45
Hope this helped ;)
The answer is petunias, snapdragons, then pansies.
Hope this helps!
Which equation represent the line show on the graph
[tex]f(x)=2x\Rightarrow y=2x[/tex]
Hope this helps.
Brainly would help me.
Answer:
y=2x
Step-by-step explanation:
the slope-intercept formula is y=mx+b, where m is the slope(rise over run) and b is the y-intercept, which then becomes y=2(2/1 because it goes up by 2 and right by 1)x+0, or simply y=2x, hope this helps! :D
Perry’s pizza parlor sells pepperoni pizza for $1.15 per piece and plain pizza for $0.90. Paul purchased 37 pieces of pizza for Pam’s party, paying $39.05. How many pieces of pepperoni pizza did Paul purchased?
Answer:
Paul purchased 23 pieces of pepperoni pizza
Step-by-step explanation:
Let pepperoni pizza pieces = x
and plain pizza pieces = y
So, the equations will be:
AS pepperoni pizza piece is sold for $1.15 and plain pizza is sold for $0.90 and Paul paid $39.05
1.15 x + 0.90 y = 39.05 eq(1)
Paul bought total 37 pieces of pizza so,
x + y = 37 eq(2)
Solving eq(1) and (2) we can find the pieces of pepperoni pizza bought by Paul.
Multiplying equation (2) with 1.15 and subtracting eq(1) and eq(2)
1.15 x + 0.90 y = 39.05
1.15 x + 1.15 y = 42.55
- - -
__________________
0 x - 0.25 y = -3.5
y = -3.5/-0.25
y = 14
Putting value of y in equation(2)
x+y = 37
x + 14 = 37
x = 37 - 14
x = 23
So, Paul purchased 23 pieces of pepperoni pizza as x represents pepperoni pizza pieces.
By setting up and solving a system of linear equations, we determined that Paul purchased 23 pieces of pepperoni pizza for Pam's party.
To determine how many pieces of pepperoni pizza Paul purchased for Pam's party from Perry's pizza parlor, we can set up a system of equations based on the cost of each piece and the total amount spent. Let x represent the number of pepperoni pizzas at $1.15 each and y represent the number of plain pizzas at $0.90 each. We have the following equations based on the given information:
x + y = 37 (total pieces of pizza purchased)
1.15x + 0.90y = $39.05 (total amount spent)
By solving these equations simultaneously, we can find the exact number of pepperoni and plain pizzas that Paul purchased. Multiplying the second equation by 100 to clear the decimals, we get:
115x + 90y = 3905
Now, multiply the first equation by 90:
90x + 90y = 3330
Subtract the modified first equation from the modified second equation:
(115x + 90y) - (90x + 90y) = 3905 - 3330
25x = 575
x = 23
Paul purchased 23 pieces of pepperoni pizza.
How many subsets can be made from a set of six elements including the null set and the set itself
A) 84
B) 64
C) 32
Answer:
c. 32
Step-by-step explanation:
Simplify the expression (-7)2.
Answer: -14
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-7)2
-7 • 2
-14
|x| + |y|
Evaluate the expression if x = 16 and y = 13.
Answer:
|x| + |y| = 29
Step-by-step explanation:
We have been given the expression;
|x| + |y|
We are required to evaluate the above expression if;
x = 16 and y = 13
The parallel vertical lines imply that we are dealing with the absolute value of x and y;
|x| + |y| = |16| + |13|
= 16 + 13
= 29
Answer:
The correct answer is 29
Step-by-step explanation:
Points to remember
|x| = x
|-x| = x
It is given an expression, |x| + |y|
To find the value of given expression
|x| + |y| if x = 16 and y = 13
Substitute the value of x and y in the above expression,
|x| + |y| = |16| + |13|
= 16 + 13 = 29
Therefore the correct answer is 29
PLEASE HELP ME NOW!!
Answer:
[tex]x=4+-2\sqrt{7}[/tex]
Step-by-step explanation:
To solve, we need to take square root of both sides first:
[tex](x-4)^2=28\\\sqrt{(x-4)^2} =+-\sqrt{28} \\x-4=+-\sqrt{28}[/tex]
Now we use the property of radical shown below to simplify square root of 28:
Property: [tex]\sqrt{x*y}=\sqrt{x} \sqrt{y}[/tex]
Now, we have:
[tex]x-4=+-\sqrt{28}\\x-4=+-\sqrt{4*7}\\x-4=+-\sqrt{4}\sqrt{7}\\x-4=+-2\sqrt{7}[/tex]
Now we take 4 to the other side and isolate x:
[tex]x-4=+-2\sqrt{7} \\x=4+-2\sqrt{7}[/tex]
first answer choice is right.
The answer is:
The correct answer is the first option.
[tex](x-4)^{2}=4+-2\sqrt{7}[/tex]
Why?To solve the problem, we must remember the following square root property:
[tex]\sqrt{ab}=\sqrt{a}\sqrt{b}[/tex]
So,
We are given the expression:
[tex](x-4)^{2}=28[/tex]
Now, isolating we have:
First, applying square root to both sides of the equation in order to simplify the quadratic term, we have:
[tex]\sqrt{(x-4)^{2} }=\sqrt{28}\\(x-4)=\sqrt{4*7}\\\\x=4+-(\sqrt{4}*\sqrt{7})\\\\x=4+-2\sqrt{7}[/tex]
Hence, the correct answer is the first option.
[tex](x-4)^{2}=4+-2\sqrt{7}[/tex]
Have a nice day!
PLEASE HELP!!!!!!! Solve for x. Use the completing the square method. 5x2−2x−10=0 Round decimals to the nearest tenth.
Answer:
0
Step-by-step explanation:
0 times anything is zero
ANSWER
x=-1.2 or x=1.6
EXPLANATION
The given equation is:
[tex] 5{x}^{2} - 2x - 10 = 0[/tex] Group and combine the constant terms:
[tex]5{x}^{2} - 2x = 10 [/tex]
Divide through by 5
[tex]{x}^{2} - \frac{2}{5} x = 2[/tex]
Add the square of the coefficient of x to both sides:
[tex]{x}^{2} - \frac{2}{5} x + \frac{1}{25} = 2 + \frac{1}{25} [/tex]
The left hand side is now a perfect square
[tex]( {x - \frac{1}{5} })^{2} = \frac{51}{25} [/tex]
Take square root:
[tex]{x - \frac{1}{5} }=\pm \sqrt{\frac{51}{25}} [/tex]
[tex]{x = \frac{1}{5} }\pm \frac{ \sqrt{51} }{5}[/tex]
[tex]{x = \frac{1}{5} } - \frac{ \sqrt{51} }{5} \: or \: \: {x = \frac{1}{5} } + \frac{ \sqrt{51} }{5}[/tex]
x=-1.2 or x=1.6
Find the surface area of the following figure
Answer:
510.4 ft²Step-by-step explanation:
We have:
two trapezoids with bases 15ft and 7ft and height 5ft.
four rectangles 5ft × 11ft, 15ft × 11ft, 9.4ft × 11ft and 7ft × 11ft.
The formula of an area of a trapezoid:
[tex]A_t=\dfrac{b_1+b_2}{2}\cdot h[/tex]
b₁, b₂ - bases
h - height
Substitute:
[tex]A_t=\dfrac{15+7}{2}\cdot5=\dfrac{22}{2}\cdot5=(11)(5)=55\ ft^2[/tex]
The formula of an area of a rectangle:
[tex]A_r=lw[/tex]
l - length
w - width
The dimensions of rectangle l × w
Subtitute:
[tex]A_1=(5)(11)=55\ ft^2\\\\A_2=(15)(11)=165\ ft^2\\\\A_3=(9.4)(11)=103.4\ ft^2\\\\A_4=(7)(11)=77\ ft^2[/tex]
The surface area of the figure:
[tex]S.A.=2A_t+A_1+A_2+A_3+A_4\\\\S.A.=2(55)+55+165+103.4+77=510.4\ ft^2[/text]
which sampling method divides the samples into precincts?
A. simple random sampling
B. systematic random sampling
C. stratified random sampling
D. Cluster sampling
Answer:
D. Cluster sampling
Step-by-step explanation:
Dealing with the whole population can be cumbersome, time-consuming and very expensive. In order to make it more feasible for researchers they can employ cluster sampling. In cluster sampling, the population are divided into precincts, or gropus. The researcher then selects the groups that will be included in the study through simple random samping or systematic sampling. The researcher can opt to choose let the whole cluster or group to participate in the study or they can randomly select the individuals within the groups.
Answer:
d
Step-by-step explanation:
2 Enter the power of 10 that makes an expression
equivalent to 900
9x
Answer:
10^2
Step-by-step explanation:
10^2 = 10x10 = 100
100 x 9 = 900
A particular computer takes 78 nanoseconds to carry out seven sums and ten products. Another computer takes 55 nanoseconds to carry out 4 sums and eight products. How long does the computer take to carry out one sum? One product?
Answer:
The time that the computer take to carry out one sum is 4.63 nanoseconds and the time that the computer take to carry out one product is 4.56 nanoseconds
Step-by-step explanation:
Let
x----> the time that the computer take to carry out one sum
y----> the time that the computer take to carry out one product
we know that
7x+10y=78 ------> equation A
4x+8y=55 -----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (4.625,4.563)
see the attached figure
therefore
The time that the computer take to carry out one sum is 4.63 nanoseconds
The time that the computer take to carry out one product is 4.56 nanoseconds
Solve and show your work for each question.
What is 0. 45 expressed as a fraction in simplest form?
What is 0.45 expressed as a fraction in simplest form?
What is 0.45 expressed as a fraction in simplest form?
SHOW YOUR WORK
Answer:
9/20
Step-by-step explanation:
You set the fraction up at first as 45/100. Then you know that 5 goes into each so you divide by 5 [tex]\frac{45}{100} /5[/tex]
45/5=9
100/5=20
You get 9/20, and this is in simplest form.
0.45/1
Then multiply top and bottom by 100.
45/100
Then simplify!
45/100 divide top and bottom by 5.
9/20
Volume with cubes with fraction lengths
Answer:
[tex]\large\boxed{24\ cubes}[/tex]
Step-by-step explanation:
[tex]\bold{METHOD\ 1}\\\\\text{Calculate the volume of a prism:}\\\\V_{p}=(1)(2)\left(\dfrac{3}{2}\right)=3\ cm^3\\\\\text{Calculate the volume of a cube:}\\\\V_c=\left(\dfrac{1}{2}\right)^3=\dfrac{1}{8}\ cm^3\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\\dfrac{V_p}{V_c}=\dfrac{3}{\frac{1}{8}}=3\cdot8=24[/tex]
[tex]\bold{METHOD\ 2}\\\\1cm:\dfrac{1}{2}m=1\cdot2=2\\\\2cm:\dfrac{1}{2}cm=2\cdot2=4\\\\\dfrac{3}{2}cm:\dfrac{1}{2}cm=\dfrac{3}{2}\cdot\dfrac{2}{1}=3\\\\2\cdot4\cdot3=24\ (cubes)[/tex]