Answer:
Step-by-step explanation:
|7-10|=3
absolute value of any number is always positive
Answer:
-3
Step-by-step explanation:
As the equation is written, you will be subtracting 10 from 7.
Subtract 10 from 7 and you will go past 0.
Your answer will be negative.
b) give reasons for your answer
Answer:
80° is the correct answer
Step-by-step explanation:
The angle B is 100° because of the property of the vertically opposite angle.
As we know the property consecutive interior angle that the sum of two angle is 180°
So
Angle B + Angle X =180°
100 °+ Angle X =180°
Angle X=180°-100°
Angle X = 80°
Simplify the following expression. It’s for my math assignment, please help.
Answer:
[tex]3t^9[/tex]
Step-by-step explanation:
Image attached below.
The transformation from the function f (x)=3x to the function f(x)=3x+4 indicates
Answer:
Moving 4 to the right on the x axis
Step-by-step explanation:
Find X to the nearest tenth
A 14.4
B 4.8
C 1.7
D 9.4
Answer:
Step-by-step explanation:
The 2 smaller triangles are proportionate to one another because they are 2 parts of the same larger triangle. Setting up the proportion, one triangle at a time:
[tex]\frac{x}{8.3} =\frac{11.6}{6.7}[/tex] and cross multiply to get
6.7x = 96.28 so
x = 14.37 or 14.4, choice A.
Please help me………………………
The square root of 81/625 = 0.36
The square root of x^2 = x
The square root of y^2 = y
25 x 0.36 = 9
X *x = x^2
Y*y = y^2
Final answer = 9x^2y^2
Answer:
The answer is option d. 9x²y²
Step-by-step explanation:
25xy√81/625x²y²
= 25xy × 9/25xy
= 9x²y²
Hope this helps.
On a normally distributed anxiety test with mean 48 and standard deviation 4, approximately what anxiety test score would put someone in the top 5 percent?
Answer:
54.56
Step-by-step explanation:
Given:
Mean, u = 48
Standard deviation, [tex] \sigma[/tex] = 4
Test score = 5%
Required:
Find the raw score, X.
Having a test score of 5% means the Zscore has to correspond to 95%, ie, 1 - 0.05 = 0.95.
Thus, [tex] Z_0_._9_5 = 1.64[/tex]
To get X, use the formula:
[tex] mu + z * \sigma [/tex]
= 48 + (4 * 1.64)
= 48 + 6.56
= 54.56
The anxiety test score that would put someone in the top 5% is 54.56
Given the directrix of y = -1 and focus of (0, 3), which is the equation of the parabola?
Answer:
[tex]y=\dfrac{1}{8}x^2+1[/tex]
Step-by-step explanation:
Since the vertex is right between the vertex and the directrix, the y value of the vertex must be (3+(-1))/2=1. The x coordinate will just be the same as that of the focus, or in this case 0. This means that the vertex will be at (0,1). Since the graph opens toward the focus, it will be opening up, and since its vertex is at (0,1), it will have an equation of:
[tex]y=\dfrac{1}{8}x^2+1[/tex]
Hope this helps!
Answer:
y = one eighth x^2 + 1
Step-by-step explanation:
i took the test and got it right
can someone explain too??
Answer:
5[tex]\sqrt{2}[/tex]
Step-by-step explanation:
prime factorising 50 inside root,
[tex]\sqrt{50}[/tex]=[tex]\sqrt{5*5*2}[/tex]
5*5 is a perfect square
So root of 5*5(or 25) is 5.
Hence 5 comes outside and 2 remains in bracket.
=5[tex]\sqrt{2}[/tex]
Brainliest needed ..... do this graph show a function? Explain how you know.
Answer:
A
Step-by-step explanation:
In a function no X's can repeat which is what the vertical line test is. And in this case no X's repeat therefore, making it a function.
Answer:
No, it fails the vertical line test
Step-by-step explanation:
This is not a function. It does not have a one to one correspondence. There are x values that have more than one y value. It fails the vertical line test
The two triangles in the diagram are similar. There are two possible values of x. Work out each of these values. State ALL of your workings out.
Answer:
X = 2
Step-by-step explanation:
Since two triangles ΔACD and ΔABE are similar triangles, their corresponding sides will be proportional.
Therefore, [tex]\frac{\text{AC}}{\text{AB}}=\frac{\text{AD}}{\text{AE}}[/tex]
By substituting the measures of the sides in the expression,
[tex]\frac{(x+10)}{10}=\frac{(15+3)}{15}[/tex]
15(x + 10) = 180
x + 10 = 12
x = 12 - 10
x = 2
Therefore, for the given similar triangles value of x = 2
Yummy Cookies just opened a brand new cookie bakery. The baker wants to increase the number of cookies he makes and sells each month. So far, the carrot cake cookie has been the best seller. In January, the baker made 14 of these cookies. In February, the baker doubled the January order, and took 5 cookies home to his family. The baker left the rest of the carrot cake cookies at the bakery to be sold. Every cookie left at the bakery sold. If this pattern continues, how many cookies will the baker sell in March and April?
Answer:
Number of cookies sold in March= 46
Number of cookies sold in April= 92
Step-by-step explanation:
Number of cookies made in Feb= 2×14= 28
Number of cookies sold in Feb= 28-5= 23
Number of cookies sold in March= 2× number of cookies sold in Feb
Number of cookies sold in March= 2× 23= 46
Number of cookies sold in April= 46×2= 92
Find EF, Im having trouble with this
Answer:
EF = 6
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(4+2x) * 4 = (5+x) * 5
Distribute
16+8x = 25+5x
Subtract 5x
16+3x = 25
Subtract 16
3x = 25-16
3x = 9
Divide by 3
x = 9/3
x=3
We want EF
EF = 2x = 2*3 = 6
Can somebody help me with this ?? :)
Answer:
Step-by-step explanation:
You need the value of one of angles. If height angle is 90°, then you have 2 90° angles. So you have 2 triangles SAS.
I hope I've helped you.
Expand X(3x+2)=??????
Answer:
[tex] {3x}^{2} + 2x[/tex]
Solution,
[tex]x(3x + 2) \\ = x \times 3x + x \times 2 \\ = {3x}^{2} + 2x[/tex]
hope this helps...
Good luck on your assignment..
Answer:
3x²+2x
Step-by-step explanation:
=> x(3x+2)
Using distributive property
=> (x*3x)+(x*2)
=> 3x²+2x
Find the values of a and b such that
x^2 + 3x + 4 = (x + a)^2 + b
URGENT!
*silly answers will be reported
Answer:
a = 1.5
b = 1.75
Step-by-step explanation:
First, we need to solve [tex](x+a)^2[/tex] and replace the result in the initial equation as:
[tex]x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b[/tex]
Then, this equality apply only if the coefficient of [tex]x[/tex] is equal in both sides and the constant is equal in both sides.
It means that we have two equations:
[tex]3x=2ax\\4=a^2+b[/tex]
So, using the first equation and solving for a, we get:
[tex]3x=2ax\\3=2a\\a=\frac{3}{2}=1.5[/tex]
Finally, replacing the value of a in the second equation and solving for b, we get:
[tex]4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75[/tex]
I really need help!! I don't get this could someone help me?
Answer:
Side a is 35/5=7 inches long
Side b is 30/5=6 inches long
Side c is 15/5=3 inches long
how many 3/8’s are in 3
Answer: 8 times
Step-by-step explanation:
Youre essentially doing 3 divided by 3/8.
3 is equivalent to 3/1. And when you divide fractions, you have to multiply by the reciprocal. the reciprocal of 3/8 is 8/3.
[tex]\frac{3}{1} *\frac{8}{3} = \frac{24}{3} = 8[/tex]
There are eight (8) 3/8’s are in 3
The number of 3/8’s in 3 can be obtained by dividing 3 by 3/8. That is;3 ÷ 3/8N.B: Due to the division sign, the 3/8 is arranged inversely while the sign changes to multiplication (×) as follows:= 3 × 8/3= 24/3= 8This means that there are eight (8) 3/8’s are in 3.Learn more at: https://brainly.com/question/25353016?referrer=searchResults
Convert 2 3/4 to a decimal number.
Answer:
2.75
Step-by-step explanation:
3/4 is .75 in decimal
Which linear function has the steepest slope? 15 POINTS
Answer:
Actually the correct answer is the last option.
Step-by-step explanation:
I just took the quiz on edge
The function given in the option (4) has the steepest slope.
For option (1)
Let's calculate the slope for given values of x and y in option (1)
First, let's consider the points (3,10) and (6,13):
[tex]x_1=3, x_2 =6[/tex] and [tex]y_1 = 10, y_2=13[/tex]
[tex]x_2-x_1=6-3=3[/tex]
and [tex]y_2-y_1= 13-10 =3[/tex]
Now, the formula for slope is:
[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
So, for these points,
[tex]m=\dfrac{3}{3}[/tex]
[tex]m=1[/tex]
Next, for points (6,13) and (9,16):
[tex]x_2-x_1=9-6=3[/tex]
and [tex]y_2-y_1=16-13 =3[/tex]
then, slope is:
[tex]m=\dfrac{3}{3}[/tex]
[tex]m=1[/tex]
Similarly, for points (9,16) and (12,19):
Slope is 1.
Hence, for the data given in option (1), slope is 1.
Now for option(2);
From the given graph, we can see the co-ordinates are (1,0) and (0,-2)
[tex]x_1=1,y_1=0[/tex] and [tex]x_2=0, y_2=-2[/tex]
[tex]x_2-x_1= -1[/tex] and [tex]y_2-y_1=-2[/tex]
Thus, the slope is:
[tex]m = \dfrac{-2}{-1}[/tex]
[tex]m=2[/tex]
Now for option (3):
From the given graph, it is clear that the co-ordinates are (0.5,0) and (0,1)
[tex]x_1= 0.5, x_2=0[/tex] and [tex]y_1=0, y_2=1[/tex]
[tex]x_2-x_1=0.5[/tex] and [tex]y_2-y_1= 1[/tex]
Thus, the slope is
[tex]m = \dfrac{1}{0.5}[/tex]
[tex]m =2[/tex]
Now, for option (4):
First, let's consider the points (2, -4) and (4, -12)
[tex]x_1= 2, x_2= 4[/tex] and [tex]y_1= -4, y_2=-12[/tex]
[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1=- 8[/tex]
slope is:
[tex]m = \dfrac{-8}{2}[/tex]
m =-4
Now, for points (4, -12) and (6, -20):
[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1= -8[/tex]
Then, the slope is:
[tex]m= \dfrac{-8}{2}[/tex]
m = -4
Similarly, for points (6, -20) and (8, -28):
Slope is -4.
That means for the data given in option (4) slope is -4.
Hence, the slope for the option (4) is steepest.
Learn more about slope here:
https://brainly.com/question/29044610
#SPJ6
Find the total surface area of this cuboid
Answer:
Total Surface Area =
148cm²
Explanation:
in the picture
The total surface area of cuboid is 158 cm².
What is the total surface area of cuboid?
The surface area of a cuboid is the total area of all of the faces of a cuboid.
If, the length (l), width (w), and height (h) of the cuboid
then, use the formula: surface area (SA)=2lw+2lh+2hw.
Here, given that,
l = 6cm
w = 4cm
h = 5cm
So, required total SA = 2( 24+30+20)
=158 cm²
To learn more on total surface area of cuboid click:
https://brainly.com/question/27226519
#SPJ3
uses
Katherine has 27 cups of yogurt to make smoothies. Each smoothie
1 cup of yogurt. What is the maximum number of smoothies that
Katherine can make with the yogurt?
Answer:
27 smoothies
Step-by-step explanation:
if you have 27 cups and one requires one cup, it would be 27 smoothies Katherine can make :)
Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation 2 l plus 2 w equals 48 can be used to find the length and width of the garden, where l is the length and w is the width of the garden. If Manny makes the garden 15 feet long, how wide should the garden be?
Answer:
9 feet
Step-by-step explanation:
Answer:
The Width of the garden will be 9 feet.
Step-by-step explanation:
Given:
Manny has wood =48 feet
Length of the garden = 15 feet
The equation which can be used. (2l + 2w) = 48
We need to find the width of the garden.
Solution :
Now Length of the garden is given we will substitute in the given equation to find the width.
(2l + 2w) = 48
2 x 15 + 2w = 48
30 + 2w = 48
Now Using Subtraction property we will subtract both side by 30 we get;
30 + 2w -30 = 48 -30
2w = 18
Now Using Division Property we will divide both side by 2 we get;
2w = 18
/2
w = 9
Answer:
Answer is A: 9 feet
An increase in walking has been shown to contribute to a healthier life-style. A sedentary American takes an average of 5000 steps per day (and 65% of Americans are overweight). A group of health-conscious employees of a large health care system volunteered to wear pedometers for a month to record their steps. It was found that a random sample of 40 walkers took an average of 5430 steps per day, and the population standard deviation is 600 steps. At = 0.05 can it be concluded that they walked more than the mean number of 5000 steps per day?
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 5000
For the alternative hypothesis,
H1: µ > 5000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 5000
x = 5430
σ = 600
n = 40
z = (5430 - 5000)/(600/√40) = 4.53
Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001
Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.
Since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.
Standard deviationGiven that it was found that a random sample of 40 walkers took an average of 5430 steps per day, and the population standard deviation is 600 steps, to determine if at = 0.05 can it be concluded that they walked more than the mean number of 5000 steps per day the following calculation must be made:
5430 = 100600 = X600 x 100 / 5430 = X60000 / 5430 = X11.04 = XTherefore, since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.
Learn more about standard deviation in https://brainly.com/question/12402189
Kyra was building a bed for her dollhouse. She used her bed, which is 4 feet × 5 feet, as a guide. She scaled down the dimensions of her bed by a factor 1/5. What are the dimensions of the model bed she built?
A,) 0.8 ft × 0.1 ft
B.) 0.4 ft × 0.5 ft
C.) 0.8 ft × 1 ft
D.) 0.04 ft × 0.05 ft
Answer: C. 0.8 ft x 1 ft
Step-by-step explanation:
The scale factor of 1/5 means you multiply
the dimensions by 1/5
4 * 1/5 = 0.8
5 * 1/5 = 1
Answer:
C. 0.8 ft x 1 ft
Step-by-step explanation:
Please I need help, DONT SKIPP
Answer:
P(Take the bus | Sophomore) = 0.83
Step-by-step explanation:
For a conditional probability (As given in the example),
P(A|B) is read as,
"The probability of event A occurring given that event B has occurred"
Here event A = Sophomore take a bus
Event B (occurred) = (Drive to school + Take the bus + Walk)
Therefore, P(Take a bus | Sophomore) = [tex]\frac{25}{(2+25+3)}[/tex]
= [tex]\frac{25}{30}[/tex]
= 0.833
≈ 0.83
P(Take the bus | Sophomore) = 0.83 will be the answer.
If HK is an altitude of triangle HIJ, IKH = (4x + 50)º, HIK = 43, and KI = x - 7, find Kl.
Plz help now plz
[tex]answer \\ option \: a \\ 3 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Find the solutions to x^2=27 A x= +/- 9 √3 B x= +/- 3 √9 C x= +/- 3 √3 D x= +/- 9 √2 FIRST TO ANSWER CORRECTLY GETS BRAINLIEST :-)
Answer:
The answer is C.
Step-by-step explanation:
You have to square both sides :
[tex] {x}^{2} = 27[/tex]
[tex]x = ± \sqrt{27} [/tex]
Then, you have to simplify it :
[tex]x = ± \sqrt{9 \times 3} [/tex]
[tex]x = ±( \sqrt{9} \times \sqrt{3} )[/tex]
[tex]x = ±( 3 \times \sqrt{3} )[/tex]
[tex]x = ±3 \sqrt{3} [/tex]
Answer:
Option C) x = ±[tex]3\sqrt{3}[/tex]
Step-by-step explanation:
=> [tex]x^2 = 27[/tex]
Taking sqrt on both sides
=> x = ±[tex]\sqrt{27}[/tex]
=> x = ±[tex]\sqrt{3 * 3*3}[/tex]
=> x = ±[tex]3\sqrt{3}[/tex]
the area of polygon MNOPQR = area of a rectangle that is 15 square units + area of a rectangle that is ___ square units. (input whole numbers only, such as 8)
im not understanding too well so...please help :/
Answer:
The answer is 2.
Step-by-step explanation:
3 - 2 = 1
7 - 5 = 2
2 x 1 = 2
Rachel, Mario and Sanjit share some money in the ratios 4:3:9
Mario receives £96.
Work out the difference between the amount received by Rachel and the amount
received by Sanjit.
Answer:
£160.
Step-by-step explanation:
Mario receives 3 / (4+3+9) = 3/16 of the money.
So by proportion the total amount of money
= 96 * 16/3 = £512
So Rachel receives 4/16 = 1/4
= 512 / 4
= £128.
- and Sanjit receives 9/16
= 512 * 9/16
= £288
The difference is 288 - 128 = £160.
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed 4/17 cups from the first orange, 3/10 cups from the second orange, 9/20cups from the third orange, 3/11 cups from the fourth orange, and 7/15 cups from the fifth orange. Patel estimates that he needs 2 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate
Answer:
He needs 0.275 cups of orange juice to reach his estimates
Step-by-step explanation:
Patel estimates he needs 2 cups of orange juice for his family . He squeezed fresh juice from 5 different oranges and got the following quantities measured in cups.
4/17 cups, 3/10 cups , 9/20 cups, 3/11 cups and 7/15 cups.
Adding them together we will know the amount he got. Therefore,
4/17 + 3/10 + 9/20 + 3/11 + 7/15
(40 + 51)/170 + 9/20 + 3/11 + 7/15
91/170 + 9/20 + (45 + 77)/165
(1820 + 1530)/3400 + 122/165
3350/3400 + 122/165
0.98529411764 + 0.73939393939
1.72468805703
Patel got approximately 1.725 cups of orange juice . He will require 2 - 1.725 = 0.275 cups of orange juice to reach his estimates.
1/2 cup of orange juice